100000
array (0,99999) [(0,3),(1,8),(2,4),(3,4),(4,3),(5,6),(6,8),(7,3),(8,6),(9,2),(10,6),(11,4),(12,4),(13,3),(14,1),(15,4),(16,2),(17,9),(18,8),(19,8),(20,7),(21,8),(22,7),(23,5),(24,7),(25,6),(26,7),(27,9),(28,8),(29,4),(30,1),(31,3),(32,2),(33,8),(34,1),(35,8),(36,9),(37,4),(38,1),(39,7),(40,3),(41,9),(42,7),(43,1),(44,3),(45,1),(46,5),(47,9),(48,5),(49,6),(50,1),(51,1),(52,9),(53,8),(54,3),(55,1),(56,5),(57,8),(58,6),(59,7),(60,6),(61,5),(62,3),(63,1),(64,9),(65,4),(66,3),(67,5),(68,1),(69,3),(70,5),(71,7),(72,9),(73,9),(74,5),(75,7),(76,4),(77,5),(78,4),(79,7),(80,1),(81,4),(82,3),(83,9),(84,4),(85,7),(86,8),(87,1),(88,4),(89,6),(90,3),(91,5),(92,3),(93,4),(94,1),(95,8),(96,9),(97,7),(98,1),(99,7),(100,9),(101,8),(102,6),(103,9),(104,1),(105,5),(106,5),(107,8),(108,7),(109,4),(110,7),(111,1),(112,4),(113,1),(114,2),(115,6),(116,1),(117,9),(118,4),(119,6),(120,4),(121,6),(122,6),(123,1),(124,6),(125,1),(126,5),(127,2),(128,4),(129,1),(130,6),(131,2),(132,2),(133,2),(134,9),(135,6),(136,3),(137,5),(138,1),(139,4),(140,9),(141,4),(142,9),(143,8),(144,4),(145,5),(146,5),(147,1),(148,4),(149,3),(150,2),(151,9),(152,7),(153,9),(154,3),(155,6),(156,5),(157,8),(158,5),(159,8),(160,6),(161,2),(162,7),(163,2),(164,3),(165,1),(166,6),(167,7),(168,5),(169,3),(170,2),(171,3),(172,2),(173,2),(174,7),(175,4),(176,4),(177,9),(178,1),(179,6),(180,1),(181,5),(182,3),(183,2),(184,5),(185,6),(186,9),(187,2),(188,9),(189,8),(190,2),(191,6),(192,6),(193,2),(194,3),(195,9),(196,9),(197,8),(198,5),(199,1),(200,3),(201,7),(202,9),(203,1),(204,7),(205,2),(206,7),(207,4),(208,9),(209,5),(210,1),(211,5),(212,1),(213,5),(214,5),(215,4),(216,4),(217,8),(218,4),(219,5),(220,6),(221,1),(222,7),(223,6),(224,5),(225,2),(226,2),(227,4),(228,6),(229,3),(230,2),(231,5),(232,6),(233,6),(234,3),(235,8),(236,2),(237,8),(238,6),(239,2),(240,2),(241,2),(242,5),(243,7),(244,4),(245,9),(246,9),(247,8),(248,7),(249,5),(250,9),(251,4),(252,4),(253,8),(254,2),(255,4),(256,3),(257,4),(258,1),(259,5),(260,7),(261,8),(262,1),(263,6),(264,6),(265,4),(266,7),(267,5),(268,9),(269,9),(270,4),(271,7),(272,5),(273,2),(274,7),(275,4),(276,5),(277,6),(278,9),(279,6),(280,9),(281,2),(282,5),(283,1),(284,8),(285,7),(286,8),(287,9),(288,5),(289,3),(290,5),(291,5),(292,7),(293,8),(294,5),(295,5),(296,3),(297,4),(298,6),(299,1),(300,8),(301,4),(302,8),(303,6),(304,4),(305,2),(306,6),(307,5),(308,5),(309,2),(310,2),(311,2),(312,1),(313,4),(314,6),(315,1),(316,8),(317,3),(318,3),(319,3),(320,1),(321,7),(322,5),(323,3),(324,1),(325,8),(326,7),(327,9),(328,1),(329,6),(330,2),(331,6),(332,7),(333,1),(334,4),(335,9),(336,9),(337,5),(338,9),(339,6),(340,8),(341,1),(342,7),(343,7),(344,8),(345,3),(346,8),(347,6),(348,7),(349,8),(350,9),(351,1),(352,2),(353,7),(354,3),(355,9),(356,6),(357,8),(358,8),(359,4),(360,6),(361,2),(362,2),(363,9),(364,7),(365,9),(366,3),(367,3),(368,7),(369,7),(370,9),(371,5),(372,1),(373,4),(374,9),(375,2),(376,1),(377,9),(378,8),(379,9),(380,9),(381,2),(382,2),(383,9),(384,1),(385,2),(386,6),(387,4),(388,3),(389,9),(390,8),(391,3),(392,2),(393,6),(394,2),(395,2),(396,2),(397,5),(398,9),(399,2),(400,9),(401,8),(402,7),(403,1),(404,7),(405,1),(406,5),(407,4),(408,9),(409,7),(410,9),(411,5),(412,3),(413,6),(414,3),(415,2),(416,5),(417,1),(418,1),(419,7),(420,9),(421,1),(422,7),(423,2),(424,5),(425,5),(426,1),(427,5),(428,4),(429,3),(430,3),(431,8),(432,1),(433,6),(434,3),(435,8),(436,1),(437,5),(438,2),(439,8),(440,8),(441,3),(442,2),(443,8),(444,2),(445,7),(446,7),(447,2),(448,7),(449,1),(450,2),(451,9),(452,5),(453,4),(454,8),(455,7),(456,7),(457,5),(458,6),(459,7),(460,9),(461,4),(462,7),(463,1),(464,5),(465,9),(466,7),(467,1),(468,5),(469,4),(470,8),(471,6),(472,3),(473,1),(474,9),(475,7),(476,6),(477,5),(478,4),(479,3),(480,5),(481,5),(482,9),(483,4),(484,9),(485,8),(486,7),(487,9),(488,6),(489,1),(490,2),(491,2),(492,5),(493,3),(494,2),(495,9),(496,3),(497,3),(498,6),(499,4),(500,8),(501,5),(502,4),(503,4),(504,4),(505,9),(506,8),(507,1),(508,9),(509,7),(510,9),(511,8),(512,2),(513,6),(514,9),(515,7),(516,4),(517,7),(518,8),(519,4),(520,7),(521,1),(522,1),(523,9),(524,9),(525,8),(526,3),(527,3),(528,5),(529,9),(530,2),(531,6),(532,6),(533,6),(534,7),(535,9),(536,6),(537,3),(538,6),(539,5),(540,9),(541,4),(542,6),(543,3),(544,1),(545,2),(546,4),(547,5),(548,6),(549,8),(550,9),(551,2),(552,4),(553,1),(554,4),(555,1),(556,3),(557,5),(558,5),(559,5),(560,5),(561,8),(562,1),(563,7),(564,1),(565,9),(566,4),(567,2),(568,7),(569,3),(570,9),(571,7),(572,6),(573,3),(574,8),(575,9),(576,9),(577,7),(578,6),(579,1),(580,1),(581,6),(582,9),(583,8),(584,9),(585,5),(586,1),(587,5),(588,2),(589,2),(590,7),(591,5),(592,2),(593,3),(594,3),(595,4),(596,9),(597,7),(598,5),(599,6),(600,4),(601,7),(602,6),(603,9),(604,6),(605,5),(606,3),(607,4),(608,2),(609,8),(610,4),(611,1),(612,7),(613,5),(614,3),(615,2),(616,6),(617,7),(618,6),(619,1),(620,9),(621,7),(622,7),(623,9),(624,1),(625,1),(626,7),(627,1),(628,4),(629,9),(630,2),(631,8),(632,7),(633,8),(634,4),(635,1),(636,4),(637,5),(638,6),(639,1),(640,6),(641,9),(642,3),(643,2),(644,6),(645,9),(646,4),(647,7),(648,3),(649,6),(650,9),(651,7),(652,3),(653,5),(654,5),(655,6),(656,5),(657,4),(658,4),(659,4),(660,8),(661,9),(662,9),(663,5),(664,1),(665,3),(666,9),(667,8),(668,6),(669,2),(670,1),(671,5),(672,3),(673,5),(674,6),(675,3),(676,5),(677,3),(678,3),(679,4),(680,3),(681,9),(682,7),(683,3),(684,9),(685,6),(686,9),(687,3),(688,5),(689,4),(690,4),(691,2),(692,2),(693,2),(694,2),(695,7),(696,4),(697,6),(698,4),(699,9),(700,1),(701,6),(702,6),(703,1),(704,7),(705,1),(706,3),(707,1),(708,3),(709,5),(710,4),(711,8),(712,5),(713,1),(714,8),(715,6),(716,8),(717,4),(718,1),(719,4),(720,2),(721,9),(722,7),(723,6),(724,6),(725,8),(726,9),(727,5),(728,3),(729,8),(730,4),(731,5),(732,3),(733,6),(734,3),(735,5),(736,7),(737,5),(738,9),(739,3),(740,1),(741,1),(742,8),(743,2),(744,6),(745,1),(746,9),(747,7),(748,3),(749,5),(750,5),(751,2),(752,5),(753,9),(754,3),(755,8),(756,3),(757,9),(758,8),(759,3),(760,7),(761,3),(762,9),(763,7),(764,6),(765,1),(766,9),(767,2),(768,3),(769,8),(770,7),(771,4),(772,2),(773,6),(774,3),(775,9),(776,5),(777,4),(778,4),(779,6),(780,9),(781,2),(782,1),(783,4),(784,6),(785,2),(786,3),(787,5),(788,5),(789,6),(790,1),(791,1),(792,1),(793,6),(794,2),(795,8),(796,6),(797,3),(798,1),(799,3),(800,5),(801,1),(802,9),(803,2),(804,5),(805,9),(806,6),(807,6),(808,6),(809,3),(810,3),(811,6),(812,9),(813,1),(814,3),(815,1),(816,9),(817,9),(818,4),(819,8),(820,4),(821,9),(822,7),(823,3),(824,2),(825,6),(826,3),(827,5),(828,5),(829,2),(830,7),(831,3),(832,2),(833,1),(834,1),(835,2),(836,6),(837,3),(838,7),(839,7),(840,3),(841,9),(842,5),(843,8),(844,7),(845,1),(846,8),(847,7),(848,2),(849,2),(850,3),(851,2),(852,1),(853,8),(854,5),(855,2),(856,6),(857,2),(858,4),(859,2),(860,5),(861,6),(862,1),(863,8),(864,1),(865,4),(866,9),(867,6),(868,9),(869,8),(870,1),(871,7),(872,6),(873,1),(874,4),(875,5),(876,9),(877,1),(878,8),(879,1),(880,5),(881,9),(882,7),(883,3),(884,2),(885,9),(886,8),(887,2),(888,7),(889,6),(890,2),(891,4),(892,2),(893,9),(894,8),(895,5),(896,2),(897,9),(898,3),(899,5),(900,6),(901,2),(902,8),(903,6),(904,8),(905,6),(906,3),(907,9),(908,9),(909,1),(910,3),(911,6),(912,8),(913,4),(914,9),(915,1),(916,4),(917,5),(918,1),(919,4),(920,2),(921,5),(922,7),(923,7),(924,6),(925,8),(926,2),(927,5),(928,1),(929,9),(930,4),(931,1),(932,2),(933,8),(934,1),(935,2),(936,6),(937,7),(938,6),(939,1),(940,8),(941,8),(942,3),(943,8),(944,7),(945,3),(946,5),(947,6),(948,9),(949,8),(950,5),(951,2),(952,6),(953,5),(954,1),(955,7),(956,8),(957,2),(958,4),(959,8),(960,8),(961,8),(962,4),(963,8),(964,3),(965,4),(966,7),(967,6),(968,2),(969,3),(970,3),(971,8),(972,5),(973,9),(974,5),(975,5),(976,7),(977,6),(978,3),(979,4),(980,3),(981,4),(982,1),(983,5),(984,1),(985,4),(986,1),(987,4),(988,2),(989,8),(990,8),(991,7),(992,3),(993,7),(994,6),(995,1),(996,7),(997,3),(998,4),(999,5),(1000,5),(1001,1),(1002,2),(1003,9),(1004,7),(1005,6),(1006,1),(1007,8),(1008,7),(1009,6),(1010,1),(1011,9),(1012,6),(1013,3),(1014,8),(1015,1),(1016,8),(1017,8),(1018,4),(1019,3),(1020,6),(1021,2),(1022,4),(1023,6),(1024,6),(1025,8),(1026,5),(1027,7),(1028,9),(1029,1),(1030,2),(1031,2),(1032,7),(1033,8),(1034,1),(1035,1),(1036,3),(1037,3),(1038,9),(1039,9),(1040,5),(1041,2),(1042,4),(1043,5),(1044,4),(1045,7),(1046,3),(1047,2),(1048,8),(1049,7),(1050,9),(1051,5),(1052,2),(1053,8),(1054,5),(1055,1),(1056,9),(1057,9),(1058,2),(1059,3),(1060,5),(1061,7),(1062,2),(1063,7),(1064,6),(1065,6),(1066,5),(1067,1),(1068,8),(1069,1),(1070,2),(1071,4),(1072,3),(1073,9),(1074,5),(1075,1),(1076,1),(1077,1),(1078,9),(1079,5),(1080,9),(1081,5),(1082,1),(1083,9),(1084,2),(1085,2),(1086,7),(1087,2),(1088,2),(1089,4),(1090,1),(1091,1),(1092,5),(1093,5),(1094,7),(1095,5),(1096,9),(1097,5),(1098,3),(1099,4),(1100,8),(1101,5),(1102,2),(1103,6),(1104,7),(1105,4),(1106,3),(1107,4),(1108,5),(1109,7),(1110,2),(1111,3),(1112,5),(1113,7),(1114,1),(1115,9),(1116,5),(1117,6),(1118,7),(1119,7),(1120,4),(1121,1),(1122,3),(1123,3),(1124,7),(1125,8),(1126,6),(1127,9),(1128,3),(1129,6),(1130,6),(1131,4),(1132,6),(1133,3),(1134,4),(1135,1),(1136,2),(1137,8),(1138,6),(1139,2),(1140,7),(1141,1),(1142,9),(1143,7),(1144,5),(1145,8),(1146,7),(1147,7),(1148,9),(1149,8),(1150,1),(1151,9),(1152,3),(1153,8),(1154,5),(1155,2),(1156,3),(1157,4),(1158,6),(1159,5),(1160,2),(1161,4),(1162,7),(1163,7),(1164,4),(1165,7),(1166,2),(1167,3),(1168,7),(1169,2),(1170,1),(1171,4),(1172,5),(1173,8),(1174,4),(1175,3),(1176,1),(1177,9),(1178,5),(1179,9),(1180,1),(1181,4),(1182,5),(1183,8),(1184,6),(1185,4),(1186,5),(1187,5),(1188,6),(1189,2),(1190,4),(1191,2),(1192,8),(1193,4),(1194,3),(1195,7),(1196,8),(1197,6),(1198,1),(1199,8),(1200,3),(1201,6),(1202,6),(1203,4),(1204,1),(1205,1),(1206,4),(1207,9),(1208,2),(1209,9),(1210,9),(1211,7),(1212,3),(1213,1),(1214,8),(1215,1),(1216,3),(1217,7),(1218,6),(1219,2),(1220,7),(1221,1),(1222,4),(1223,1),(1224,3),(1225,7),(1226,5),(1227,9),(1228,7),(1229,5),(1230,2),(1231,4),(1232,7),(1233,7),(1234,4),(1235,4),(1236,3),(1237,4),(1238,9),(1239,6),(1240,8),(1241,1),(1242,7),(1243,4),(1244,9),(1245,7),(1246,2),(1247,8),(1248,5),(1249,3),(1250,5),(1251,2),(1252,7),(1253,1),(1254,6),(1255,7),(1256,6),(1257,7),(1258,9),(1259,9),(1260,5),(1261,4),(1262,9),(1263,4),(1264,4),(1265,5),(1266,4),(1267,2),(1268,7),(1269,2),(1270,9),(1271,7),(1272,4),(1273,5),(1274,4),(1275,7),(1276,8),(1277,8),(1278,9),(1279,7),(1280,2),(1281,1),(1282,8),(1283,8),(1284,5),(1285,8),(1286,2),(1287,1),(1288,4),(1289,4),(1290,8),(1291,8),(1292,7),(1293,6),(1294,6),(1295,2),(1296,5),(1297,8),(1298,7),(1299,2),(1300,6),(1301,1),(1302,8),(1303,4),(1304,4),(1305,9),(1306,8),(1307,2),(1308,2),(1309,4),(1310,2),(1311,2),(1312,2),(1313,9),(1314,1),(1315,2),(1316,4),(1317,6),(1318,3),(1319,9),(1320,8),(1321,2),(1322,5),(1323,2),(1324,4),(1325,9),(1326,3),(1327,4),(1328,7),(1329,4),(1330,8),(1331,4),(1332,6),(1333,2),(1334,7),(1335,6),(1336,9),(1337,5),(1338,8),(1339,4),(1340,3),(1341,9),(1342,7),(1343,3),(1344,4),(1345,1),(1346,1),(1347,5),(1348,6),(1349,6),(1350,4),(1351,3),(1352,8),(1353,9),(1354,3),(1355,9),(1356,4),(1357,9),(1358,5),(1359,5),(1360,6),(1361,1),(1362,6),(1363,5),(1364,8),(1365,9),(1366,6),(1367,7),(1368,9),(1369,1),(1370,6),(1371,3),(1372,1),(1373,2),(1374,4),(1375,3),(1376,7),(1377,8),(1378,7),(1379,5),(1380,1),(1381,4),(1382,2),(1383,2),(1384,1),(1385,7),(1386,2),(1387,2),(1388,7),(1389,8),(1390,8),(1391,6),(1392,2),(1393,2),(1394,8),(1395,8),(1396,4),(1397,5),(1398,2),(1399,9),(1400,8),(1401,8),(1402,5),(1403,2),(1404,1),(1405,7),(1406,2),(1407,1),(1408,1),(1409,6),(1410,1),(1411,2),(1412,7),(1413,7),(1414,7),(1415,5),(1416,2),(1417,9),(1418,8),(1419,5),(1420,7),(1421,6),(1422,3),(1423,8),(1424,1),(1425,4),(1426,8),(1427,7),(1428,3),(1429,9),(1430,2),(1431,6),(1432,1),(1433,1),(1434,2),(1435,8),(1436,5),(1437,7),(1438,1),(1439,9),(1440,9),(1441,9),(1442,7),(1443,5),(1444,5),(1445,5),(1446,3),(1447,9),(1448,4),(1449,7),(1450,8),(1451,4),(1452,5),(1453,1),(1454,6),(1455,6),(1456,4),(1457,7),(1458,2),(1459,7),(1460,4),(1461,4),(1462,8),(1463,4),(1464,2),(1465,9),(1466,8),(1467,8),(1468,6),(1469,3),(1470,7),(1471,6),(1472,4),(1473,6),(1474,8),(1475,5),(1476,3),(1477,4),(1478,8),(1479,6),(1480,8),(1481,9),(1482,6),(1483,9),(1484,5),(1485,8),(1486,2),(1487,3),(1488,9),(1489,1),(1490,4),(1491,1),(1492,7),(1493,9),(1494,3),(1495,7),(1496,9),(1497,1),(1498,2),(1499,1),(1500,9),(1501,5),(1502,7),(1503,8),(1504,2),(1505,1),(1506,9),(1507,3),(1508,8),(1509,8),(1510,5),(1511,4),(1512,7),(1513,4),(1514,4),(1515,8),(1516,6),(1517,2),(1518,2),(1519,4),(1520,3),(1521,9),(1522,8),(1523,5),(1524,8),(1525,5),(1526,2),(1527,6),(1528,4),(1529,9),(1530,8),(1531,4),(1532,9),(1533,1),(1534,9),(1535,5),(1536,5),(1537,2),(1538,2),(1539,2),(1540,3),(1541,7),(1542,3),(1543,3),(1544,7),(1545,2),(1546,1),(1547,2),(1548,2),(1549,4),(1550,5),(1551,5),(1552,6),(1553,8),(1554,9),(1555,4),(1556,2),(1557,6),(1558,8),(1559,3),(1560,4),(1561,7),(1562,4),(1563,2),(1564,7),(1565,7),(1566,1),(1567,4),(1568,3),(1569,5),(1570,1),(1571,6),(1572,9),(1573,5),(1574,6),(1575,8),(1576,1),(1577,8),(1578,1),(1579,1),(1580,6),(1581,1),(1582,9),(1583,7),(1584,8),(1585,5),(1586,2),(1587,5),(1588,8),(1589,5),(1590,3),(1591,4),(1592,5),(1593,1),(1594,2),(1595,7),(1596,5),(1597,3),(1598,8),(1599,7),(1600,3),(1601,5),(1602,7),(1603,9),(1604,9),(1605,5),(1606,7),(1607,1),(1608,6),(1609,7),(1610,6),(1611,1),(1612,7),(1613,6),(1614,3),(1615,9),(1616,3),(1617,5),(1618,8),(1619,3),(1620,6),(1621,8),(1622,5),(1623,7),(1624,7),(1625,9),(1626,5),(1627,5),(1628,2),(1629,3),(1630,2),(1631,2),(1632,2),(1633,2),(1634,4),(1635,8),(1636,4),(1637,5),(1638,4),(1639,6),(1640,5),(1641,7),(1642,1),(1643,2),(1644,6),(1645,8),(1646,8),(1647,8),(1648,8),(1649,9),(1650,2),(1651,3),(1652,8),(1653,1),(1654,7),(1655,5),(1656,1),(1657,2),(1658,8),(1659,6),(1660,3),(1661,5),(1662,1),(1663,9),(1664,8),(1665,6),(1666,7),(1667,8),(1668,6),(1669,2),(1670,4),(1671,5),(1672,5),(1673,2),(1674,3),(1675,2),(1676,2),(1677,6),(1678,7),(1679,9),(1680,2),(1681,8),(1682,6),(1683,1),(1684,9),(1685,5),(1686,3),(1687,9),(1688,3),(1689,4),(1690,4),(1691,3),(1692,7),(1693,1),(1694,2),(1695,2),(1696,9),(1697,3),(1698,3),(1699,9),(1700,9),(1701,7),(1702,2),(1703,8),(1704,4),(1705,4),(1706,9),(1707,1),(1708,8),(1709,1),(1710,9),(1711,9),(1712,9),(1713,1),(1714,4),(1715,9),(1716,9),(1717,5),(1718,4),(1719,6),(1720,2),(1721,9),(1722,1),(1723,6),(1724,1),(1725,7),(1726,1),(1727,7),(1728,7),(1729,7),(1730,6),(1731,7),(1732,9),(1733,7),(1734,9),(1735,5),(1736,5),(1737,4),(1738,6),(1739,5),(1740,5),(1741,4),(1742,1),(1743,9),(1744,8),(1745,6),(1746,2),(1747,6),(1748,5),(1749,7),(1750,1),(1751,6),(1752,5),(1753,1),(1754,3),(1755,7),(1756,1),(1757,8),(1758,4),(1759,7),(1760,9),(1761,4),(1762,8),(1763,6),(1764,7),(1765,9),(1766,9),(1767,1),(1768,4),(1769,6),(1770,5),(1771,2),(1772,2),(1773,7),(1774,7),(1775,6),(1776,9),(1777,3),(1778,5),(1779,9),(1780,3),(1781,4),(1782,1),(1783,2),(1784,2),(1785,6),(1786,5),(1787,2),(1788,6),(1789,9),(1790,6),(1791,1),(1792,7),(1793,6),(1794,6),(1795,3),(1796,7),(1797,5),(1798,5),(1799,8),(1800,1),(1801,6),(1802,9),(1803,3),(1804,2),(1805,2),(1806,5),(1807,7),(1808,3),(1809,7),(1810,6),(1811,4),(1812,3),(1813,2),(1814,9),(1815,6),(1816,9),(1817,8),(1818,8),(1819,7),(1820,5),(1821,5),(1822,5),(1823,5),(1824,4),(1825,6),(1826,2),(1827,4),(1828,1),(1829,1),(1830,4),(1831,5),(1832,2),(1833,3),(1834,1),(1835,7),(1836,3),(1837,5),(1838,6),(1839,3),(1840,9),(1841,7),(1842,5),(1843,9),(1844,3),(1845,5),(1846,7),(1847,3),(1848,7),(1849,4),(1850,2),(1851,3),(1852,3),(1853,9),(1854,8),(1855,8),(1856,1),(1857,1),(1858,3),(1859,1),(1860,9),(1861,8),(1862,5),(1863,4),(1864,7),(1865,1),(1866,1),(1867,2),(1868,6),(1869,5),(1870,6),(1871,6),(1872,9),(1873,3),(1874,6),(1875,5),(1876,3),(1877,7),(1878,9),(1879,2),(1880,7),(1881,2),(1882,6),(1883,1),(1884,1),(1885,7),(1886,6),(1887,9),(1888,3),(1889,6),(1890,6),(1891,9),(1892,1),(1893,4),(1894,8),(1895,7),(1896,7),(1897,7),(1898,4),(1899,5),(1900,2),(1901,5),(1902,3),(1903,8),(1904,4),(1905,7),(1906,2),(1907,6),(1908,2),(1909,5),(1910,7),(1911,4),(1912,9),(1913,3),(1914,1),(1915,5),(1916,8),(1917,9),(1918,8),(1919,9),(1920,2),(1921,9),(1922,3),(1923,5),(1924,5),(1925,9),(1926,2),(1927,2),(1928,4),(1929,3),(1930,6),(1931,8),(1932,2),(1933,3),(1934,8),(1935,9),(1936,3),(1937,7),(1938,8),(1939,9),(1940,9),(1941,1),(1942,9),(1943,7),(1944,5),(1945,6),(1946,7),(1947,3),(1948,8),(1949,3),(1950,2),(1951,5),(1952,8),(1953,7),(1954,4),(1955,7),(1956,2),(1957,3),(1958,2),(1959,2),(1960,7),(1961,6),(1962,3),(1963,2),(1964,7),(1965,6),(1966,4),(1967,1),(1968,1),(1969,1),(1970,9),(1971,5),(1972,5),(1973,4),(1974,9),(1975,7),(1976,8),(1977,5),(1978,1),(1979,9),(1980,9),(1981,9),(1982,9),(1983,9),(1984,9),(1985,7),(1986,3),(1987,5),(1988,9),(1989,6),(1990,4),(1991,2),(1992,5),(1993,7),(1994,7),(1995,5),(1996,9),(1997,5),(1998,9),(1999,9),(2000,9),(2001,7),(2002,6),(2003,8),(2004,1),(2005,5),(2006,1),(2007,5),(2008,3),(2009,6),(2010,2),(2011,9),(2012,1),(2013,2),(2014,4),(2015,2),(2016,4),(2017,7),(2018,7),(2019,6),(2020,6),(2021,9),(2022,7),(2023,6),(2024,6),(2025,3),(2026,7),(2027,9),(2028,9),(2029,2),(2030,4),(2031,9),(2032,5),(2033,8),(2034,7),(2035,6),(2036,8),(2037,1),(2038,6),(2039,6),(2040,9),(2041,4),(2042,2),(2043,2),(2044,6),(2045,2),(2046,9),(2047,6),(2048,7),(2049,9),(2050,6),(2051,8),(2052,9),(2053,8),(2054,1),(2055,8),(2056,2),(2057,4),(2058,1),(2059,5),(2060,2),(2061,4),(2062,3),(2063,5),(2064,4),(2065,2),(2066,2),(2067,1),(2068,4),(2069,4),(2070,8),(2071,8),(2072,9),(2073,8),(2074,1),(2075,3),(2076,7),(2077,9),(2078,6),(2079,9),(2080,8),(2081,7),(2082,7),(2083,5),(2084,4),(2085,3),(2086,7),(2087,2),(2088,9),(2089,3),(2090,7),(2091,9),(2092,6),(2093,7),(2094,1),(2095,2),(2096,2),(2097,8),(2098,3),(2099,8),(2100,3),(2101,4),(2102,9),(2103,3),(2104,8),(2105,9),(2106,5),(2107,4),(2108,9),(2109,3),(2110,8),(2111,7),(2112,8),(2113,7),(2114,2),(2115,4),(2116,1),(2117,2),(2118,6),(2119,4),(2120,2),(2121,3),(2122,7),(2123,2),(2124,4),(2125,9),(2126,4),(2127,4),(2128,3),(2129,6),(2130,3),(2131,5),(2132,8),(2133,2),(2134,5),(2135,9),(2136,9),(2137,4),(2138,2),(2139,2),(2140,6),(2141,7),(2142,6),(2143,7),(2144,2),(2145,4),(2146,1),(2147,5),(2148,1),(2149,1),(2150,5),(2151,9),(2152,9),(2153,6),(2154,6),(2155,7),(2156,7),(2157,6),(2158,9),(2159,3),(2160,1),(2161,5),(2162,5),(2163,2),(2164,8),(2165,1),(2166,4),(2167,4),(2168,7),(2169,7),(2170,9),(2171,7),(2172,8),(2173,6),(2174,2),(2175,5),(2176,6),(2177,2),(2178,4),(2179,1),(2180,1),(2181,4),(2182,5),(2183,3),(2184,7),(2185,6),(2186,5),(2187,8),(2188,7),(2189,7),(2190,5),(2191,5),(2192,9),(2193,3),(2194,4),(2195,9),(2196,4),(2197,8),(2198,2),(2199,3),(2200,7),(2201,7),(2202,7),(2203,3),(2204,6),(2205,4),(2206,3),(2207,9),(2208,8),(2209,3),(2210,5),(2211,7),(2212,3),(2213,5),(2214,3),(2215,4),(2216,3),(2217,1),(2218,3),(2219,5),(2220,6),(2221,5),(2222,7),(2223,3),(2224,6),(2225,6),(2226,4),(2227,9),(2228,5),(2229,1),(2230,3),(2231,3),(2232,3),(2233,8),(2234,2),(2235,8),(2236,3),(2237,7),(2238,9),(2239,4),(2240,8),(2241,4),(2242,3),(2243,7),(2244,2),(2245,2),(2246,3),(2247,4),(2248,4),(2249,5),(2250,7),(2251,3),(2252,9),(2253,3),(2254,1),(2255,8),(2256,9),(2257,9),(2258,5),(2259,5),(2260,2),(2261,1),(2262,7),(2263,1),(2264,9),(2265,1),(2266,8),(2267,9),(2268,7),(2269,9),(2270,8),(2271,4),(2272,2),(2273,3),(2274,5),(2275,6),(2276,9),(2277,9),(2278,4),(2279,5),(2280,2),(2281,3),(2282,9),(2283,7),(2284,3),(2285,1),(2286,9),(2287,4),(2288,3),(2289,2),(2290,2),(2291,7),(2292,4),(2293,9),(2294,4),(2295,9),(2296,4),(2297,9),(2298,6),(2299,8),(2300,9),(2301,3),(2302,1),(2303,1),(2304,6),(2305,2),(2306,6),(2307,2),(2308,1),(2309,6),(2310,4),(2311,7),(2312,6),(2313,4),(2314,4),(2315,8),(2316,7),(2317,6),(2318,3),(2319,8),(2320,1),(2321,8),(2322,7),(2323,3),(2324,8),(2325,6),(2326,7),(2327,8),(2328,7),(2329,5),(2330,6),(2331,5),(2332,2),(2333,5),(2334,5),(2335,5),(2336,1),(2337,3),(2338,6),(2339,7),(2340,7),(2341,9),(2342,3),(2343,2),(2344,3),(2345,4),(2346,8),(2347,9),(2348,2),(2349,7),(2350,8),(2351,2),(2352,4),(2353,6),(2354,9),(2355,9),(2356,7),(2357,2),(2358,5),(2359,6),(2360,1),(2361,1),(2362,7),(2363,8),(2364,4),(2365,7),(2366,7),(2367,9),(2368,6),(2369,5),(2370,5),(2371,4),(2372,5),(2373,4),(2374,1),(2375,4),(2376,8),(2377,7),(2378,5),(2379,4),(2380,9),(2381,4),(2382,4),(2383,9),(2384,1),(2385,5),(2386,4),(2387,5),(2388,7),(2389,1),(2390,6),(2391,8),(2392,3),(2393,3),(2394,5),(2395,6),(2396,7),(2397,7),(2398,6),(2399,5),(2400,4),(2401,2),(2402,4),(2403,6),(2404,3),(2405,6),(2406,5),(2407,7),(2408,1),(2409,5),(2410,3),(2411,8),(2412,7),(2413,3),(2414,9),(2415,1),(2416,8),(2417,1),(2418,9),(2419,3),(2420,6),(2421,2),(2422,5),(2423,6),(2424,3),(2425,2),(2426,6),(2427,1),(2428,8),(2429,5),(2430,7),(2431,6),(2432,5),(2433,8),(2434,2),(2435,5),(2436,7),(2437,4),(2438,1),(2439,2),(2440,2),(2441,9),(2442,3),(2443,2),(2444,1),(2445,7),(2446,8),(2447,6),(2448,8),(2449,1),(2450,9),(2451,6),(2452,9),(2453,5),(2454,6),(2455,7),(2456,7),(2457,4),(2458,7),(2459,4),(2460,4),(2461,7),(2462,9),(2463,1),(2464,7),(2465,6),(2466,8),(2467,5),(2468,9),(2469,4),(2470,5),(2471,1),(2472,4),(2473,6),(2474,8),(2475,4),(2476,8),(2477,9),(2478,7),(2479,1),(2480,6),(2481,8),(2482,6),(2483,5),(2484,5),(2485,7),(2486,8),(2487,1),(2488,8),(2489,1),(2490,6),(2491,8),(2492,2),(2493,1),(2494,2),(2495,2),(2496,1),(2497,1),(2498,2),(2499,3),(2500,3),(2501,7),(2502,3),(2503,6),(2504,4),(2505,2),(2506,1),(2507,9),(2508,5),(2509,7),(2510,7),(2511,6),(2512,1),(2513,6),(2514,8),(2515,5),(2516,8),(2517,6),(2518,2),(2519,7),(2520,6),(2521,2),(2522,4),(2523,2),(2524,8),(2525,8),(2526,8),(2527,7),(2528,3),(2529,9),(2530,3),(2531,3),(2532,2),(2533,9),(2534,8),(2535,5),(2536,9),(2537,7),(2538,2),(2539,9),(2540,9),(2541,2),(2542,9),(2543,6),(2544,4),(2545,7),(2546,5),(2547,7),(2548,5),(2549,7),(2550,9),(2551,9),(2552,2),(2553,1),(2554,9),(2555,1),(2556,7),(2557,3),(2558,7),(2559,2),(2560,3),(2561,7),(2562,4),(2563,9),(2564,8),(2565,1),(2566,3),(2567,8),(2568,3),(2569,7),(2570,3),(2571,3),(2572,1),(2573,9),(2574,2),(2575,8),(2576,6),(2577,4),(2578,8),(2579,3),(2580,9),(2581,4),(2582,8),(2583,4),(2584,5),(2585,8),(2586,5),(2587,7),(2588,8),(2589,7),(2590,9),(2591,7),(2592,4),(2593,6),(2594,1),(2595,9),(2596,4),(2597,8),(2598,9),(2599,1),(2600,3),(2601,8),(2602,1),(2603,7),(2604,7),(2605,4),(2606,4),(2607,1),(2608,3),(2609,4),(2610,1),(2611,2),(2612,1),(2613,1),(2614,8),(2615,1),(2616,9),(2617,1),(2618,4),(2619,9),(2620,7),(2621,3),(2622,4),(2623,8),(2624,3),(2625,1),(2626,5),(2627,4),(2628,3),(2629,4),(2630,8),(2631,7),(2632,2),(2633,5),(2634,2),(2635,1),(2636,2),(2637,9),(2638,3),(2639,2),(2640,2),(2641,8),(2642,3),(2643,6),(2644,2),(2645,4),(2646,2),(2647,5),(2648,8),(2649,9),(2650,7),(2651,6),(2652,8),(2653,4),(2654,1),(2655,9),(2656,6),(2657,8),(2658,6),(2659,7),(2660,2),(2661,1),(2662,9),(2663,7),(2664,7),(2665,2),(2666,4),(2667,5),(2668,1),(2669,7),(2670,8),(2671,1),(2672,4),(2673,1),(2674,4),(2675,4),(2676,1),(2677,1),(2678,1),(2679,8),(2680,5),(2681,2),(2682,6),(2683,7),(2684,6),(2685,2),(2686,8),(2687,6),(2688,4),(2689,5),(2690,8),(2691,3),(2692,4),(2693,1),(2694,5),(2695,5),(2696,7),(2697,1),(2698,1),(2699,2),(2700,1),(2701,8),(2702,4),(2703,9),(2704,3),(2705,2),(2706,6),(2707,1),(2708,5),(2709,8),(2710,2),(2711,3),(2712,3),(2713,3),(2714,4),(2715,9),(2716,2),(2717,7),(2718,7),(2719,7),(2720,7),(2721,7),(2722,5),(2723,2),(2724,7),(2725,6),(2726,6),(2727,8),(2728,7),(2729,6),(2730,1),(2731,9),(2732,7),(2733,4),(2734,6),(2735,9),(2736,2),(2737,6),(2738,7),(2739,3),(2740,9),(2741,9),(2742,4),(2743,3),(2744,8),(2745,7),(2746,2),(2747,5),(2748,8),(2749,8),(2750,7),(2751,7),(2752,2),(2753,1),(2754,6),(2755,5),(2756,8),(2757,9),(2758,8),(2759,8),(2760,3),(2761,7),(2762,8),(2763,1),(2764,5),(2765,1),(2766,1),(2767,1),(2768,5),(2769,4),(2770,7),(2771,4),(2772,8),(2773,1),(2774,6),(2775,3),(2776,8),(2777,4),(2778,5),(2779,6),(2780,6),(2781,5),(2782,9),(2783,5),(2784,1),(2785,2),(2786,5),(2787,5),(2788,9),(2789,2),(2790,9),(2791,4),(2792,7),(2793,4),(2794,5),(2795,5),(2796,4),(2797,8),(2798,2),(2799,7),(2800,9),(2801,2),(2802,6),(2803,4),(2804,4),(2805,2),(2806,1),(2807,2),(2808,7),(2809,4),(2810,3),(2811,7),(2812,5),(2813,9),(2814,8),(2815,4),(2816,4),(2817,4),(2818,7),(2819,2),(2820,4),(2821,7),(2822,3),(2823,3),(2824,6),(2825,8),(2826,2),(2827,6),(2828,8),(2829,1),(2830,6),(2831,5),(2832,5),(2833,6),(2834,5),(2835,1),(2836,8),(2837,4),(2838,5),(2839,2),(2840,4),(2841,2),(2842,1),(2843,8),(2844,8),(2845,7),(2846,4),(2847,4),(2848,2),(2849,1),(2850,2),(2851,6),(2852,5),(2853,7),(2854,8),(2855,6),(2856,8),(2857,7),(2858,9),(2859,9),(2860,2),(2861,4),(2862,5),(2863,8),(2864,4),(2865,2),(2866,1),(2867,1),(2868,1),(2869,9),(2870,1),(2871,6),(2872,9),(2873,5),(2874,1),(2875,1),(2876,6),(2877,8),(2878,4),(2879,7),(2880,5),(2881,7),(2882,5),(2883,2),(2884,9),(2885,7),(2886,2),(2887,1),(2888,8),(2889,3),(2890,7),(2891,5),(2892,1),(2893,4),(2894,8),(2895,5),(2896,4),(2897,1),(2898,1),(2899,1),(2900,8),(2901,3),(2902,7),(2903,8),(2904,2),(2905,2),(2906,4),(2907,6),(2908,1),(2909,6),(2910,6),(2911,2),(2912,4),(2913,9),(2914,5),(2915,9),(2916,1),(2917,6),(2918,7),(2919,2),(2920,4),(2921,6),(2922,1),(2923,3),(2924,2),(2925,3),(2926,3),(2927,6),(2928,2),(2929,2),(2930,2),(2931,3),(2932,7),(2933,7),(2934,1),(2935,1),(2936,1),(2937,5),(2938,1),(2939,5),(2940,5),(2941,7),(2942,6),(2943,3),(2944,5),(2945,5),(2946,5),(2947,6),(2948,3),(2949,4),(2950,4),(2951,5),(2952,7),(2953,6),(2954,1),(2955,3),(2956,2),(2957,9),(2958,3),(2959,9),(2960,8),(2961,6),(2962,4),(2963,7),(2964,2),(2965,7),(2966,2),(2967,3),(2968,1),(2969,3),(2970,4),(2971,7),(2972,6),(2973,5),(2974,5),(2975,1),(2976,5),(2977,2),(2978,6),(2979,4),(2980,1),(2981,2),(2982,8),(2983,5),(2984,1),(2985,2),(2986,1),(2987,5),(2988,7),(2989,6),(2990,7),(2991,1),(2992,4),(2993,3),(2994,5),(2995,2),(2996,5),(2997,7),(2998,5),(2999,2),(3000,1),(3001,8),(3002,4),(3003,7),(3004,7),(3005,8),(3006,4),(3007,1),(3008,2),(3009,5),(3010,3),(3011,7),(3012,7),(3013,4),(3014,6),(3015,4),(3016,6),(3017,1),(3018,3),(3019,6),(3020,6),(3021,6),(3022,1),(3023,1),(3024,1),(3025,6),(3026,4),(3027,6),(3028,3),(3029,8),(3030,7),(3031,9),(3032,4),(3033,1),(3034,9),(3035,5),(3036,7),(3037,5),(3038,1),(3039,5),(3040,6),(3041,6),(3042,6),(3043,1),(3044,5),(3045,2),(3046,8),(3047,9),(3048,6),(3049,8),(3050,1),(3051,5),(3052,8),(3053,7),(3054,3),(3055,8),(3056,4),(3057,6),(3058,9),(3059,2),(3060,8),(3061,9),(3062,4),(3063,4),(3064,3),(3065,2),(3066,1),(3067,1),(3068,4),(3069,1),(3070,6),(3071,2),(3072,8),(3073,4),(3074,6),(3075,9),(3076,1),(3077,5),(3078,9),(3079,5),(3080,3),(3081,4),(3082,6),(3083,5),(3084,4),(3085,6),(3086,2),(3087,9),(3088,9),(3089,9),(3090,6),(3091,9),(3092,4),(3093,3),(3094,4),(3095,2),(3096,9),(3097,1),(3098,3),(3099,9),(3100,3),(3101,8),(3102,9),(3103,5),(3104,2),(3105,1),(3106,6),(3107,3),(3108,7),(3109,8),(3110,8),(3111,3),(3112,4),(3113,3),(3114,1),(3115,8),(3116,2),(3117,6),(3118,1),(3119,1),(3120,8),(3121,1),(3122,3),(3123,7),(3124,2),(3125,6),(3126,8),(3127,7),(3128,3),(3129,5),(3130,1),(3131,8),(3132,5),(3133,2),(3134,6),(3135,5),(3136,7),(3137,6),(3138,7),(3139,8),(3140,2),(3141,8),(3142,7),(3143,9),(3144,1),(3145,8),(3146,9),(3147,3),(3148,5),(3149,5),(3150,5),(3151,7),(3152,4),(3153,8),(3154,7),(3155,3),(3156,4),(3157,5),(3158,1),(3159,7),(3160,4),(3161,9),(3162,9),(3163,7),(3164,9),(3165,3),(3166,8),(3167,5),(3168,7),(3169,9),(3170,5),(3171,2),(3172,4),(3173,6),(3174,4),(3175,9),(3176,3),(3177,3),(3178,1),(3179,2),(3180,2),(3181,5),(3182,3),(3183,6),(3184,4),(3185,6),(3186,8),(3187,7),(3188,2),(3189,5),(3190,1),(3191,2),(3192,6),(3193,9),(3194,4),(3195,3),(3196,5),(3197,1),(3198,9),(3199,2),(3200,7),(3201,1),(3202,3),(3203,5),(3204,2),(3205,3),(3206,5),(3207,2),(3208,4),(3209,2),(3210,4),(3211,5),(3212,6),(3213,8),(3214,9),(3215,5),(3216,1),(3217,5),(3218,4),(3219,1),(3220,7),(3221,7),(3222,4),(3223,6),(3224,1),(3225,6),(3226,6),(3227,5),(3228,8),(3229,7),(3230,6),(3231,1),(3232,7),(3233,3),(3234,2),(3235,2),(3236,7),(3237,6),(3238,7),(3239,9),(3240,5),(3241,1),(3242,5),(3243,5),(3244,4),(3245,9),(3246,8),(3247,3),(3248,4),(3249,6),(3250,6),(3251,9),(3252,5),(3253,6),(3254,1),(3255,7),(3256,1),(3257,5),(3258,7),(3259,2),(3260,2),(3261,5),(3262,3),(3263,1),(3264,2),(3265,8),(3266,7),(3267,8),(3268,8),(3269,2),(3270,7),(3271,4),(3272,2),(3273,6),(3274,7),(3275,8),(3276,1),(3277,6),(3278,2),(3279,8),(3280,7),(3281,1),(3282,4),(3283,1),(3284,3),(3285,6),(3286,8),(3287,7),(3288,8),(3289,3),(3290,3),(3291,4),(3292,5),(3293,3),(3294,7),(3295,2),(3296,6),(3297,6),(3298,2),(3299,9),(3300,1),(3301,5),(3302,4),(3303,9),(3304,2),(3305,5),(3306,7),(3307,1),(3308,1),(3309,3),(3310,7),(3311,8),(3312,2),(3313,6),(3314,1),(3315,4),(3316,8),(3317,7),(3318,9),(3319,1),(3320,5),(3321,6),(3322,5),(3323,4),(3324,1),(3325,5),(3326,7),(3327,5),(3328,6),(3329,3),(3330,5),(3331,1),(3332,3),(3333,1),(3334,7),(3335,8),(3336,5),(3337,8),(3338,7),(3339,9),(3340,8),(3341,5),(3342,2),(3343,4),(3344,9),(3345,4),(3346,6),(3347,7),(3348,3),(3349,7),(3350,5),(3351,6),(3352,8),(3353,8),(3354,1),(3355,1),(3356,9),(3357,1),(3358,7),(3359,6),(3360,9),(3361,8),(3362,3),(3363,5),(3364,7),(3365,8),(3366,4),(3367,8),(3368,3),(3369,3),(3370,3),(3371,8),(3372,1),(3373,6),(3374,6),(3375,9),(3376,7),(3377,5),(3378,3),(3379,6),(3380,2),(3381,7),(3382,1),(3383,6),(3384,6),(3385,6),(3386,4),(3387,5),(3388,1),(3389,1),(3390,2),(3391,7),(3392,5),(3393,6),(3394,7),(3395,2),(3396,7),(3397,7),(3398,3),(3399,8),(3400,6),(3401,6),(3402,7),(3403,9),(3404,1),(3405,5),(3406,9),(3407,2),(3408,5),(3409,5),(3410,4),(3411,6),(3412,2),(3413,9),(3414,9),(3415,8),(3416,1),(3417,3),(3418,7),(3419,1),(3420,7),(3421,3),(3422,6),(3423,5),(3424,6),(3425,1),(3426,2),(3427,2),(3428,1),(3429,2),(3430,1),(3431,2),(3432,7),(3433,7),(3434,5),(3435,6),(3436,5),(3437,6),(3438,5),(3439,1),(3440,8),(3441,4),(3442,3),(3443,4),(3444,7),(3445,2),(3446,8),(3447,6),(3448,3),(3449,3),(3450,7),(3451,1),(3452,7),(3453,2),(3454,1),(3455,1),(3456,6),(3457,3),(3458,5),(3459,6),(3460,2),(3461,4),(3462,7),(3463,3),(3464,4),(3465,2),(3466,5),(3467,7),(3468,5),(3469,4),(3470,3),(3471,1),(3472,5),(3473,3),(3474,4),(3475,5),(3476,7),(3477,6),(3478,8),(3479,3),(3480,4),(3481,7),(3482,7),(3483,6),(3484,9),(3485,4),(3486,9),(3487,8),(3488,4),(3489,1),(3490,4),(3491,2),(3492,2),(3493,1),(3494,9),(3495,2),(3496,4),(3497,7),(3498,8),(3499,9),(3500,3),(3501,6),(3502,6),(3503,4),(3504,3),(3505,6),(3506,9),(3507,7),(3508,3),(3509,2),(3510,9),(3511,3),(3512,3),(3513,1),(3514,8),(3515,2),(3516,5),(3517,7),(3518,1),(3519,6),(3520,7),(3521,6),(3522,4),(3523,1),(3524,6),(3525,5),(3526,2),(3527,1),(3528,8),(3529,2),(3530,9),(3531,3),(3532,3),(3533,1),(3534,3),(3535,3),(3536,3),(3537,4),(3538,5),(3539,5),(3540,9),(3541,1),(3542,4),(3543,1),(3544,9),(3545,1),(3546,6),(3547,9),(3548,5),(3549,8),(3550,4),(3551,6),(3552,9),(3553,7),(3554,3),(3555,3),(3556,5),(3557,4),(3558,3),(3559,4),(3560,4),(3561,7),(3562,7),(3563,5),(3564,3),(3565,8),(3566,5),(3567,8),(3568,6),(3569,4),(3570,5),(3571,1),(3572,2),(3573,6),(3574,5),(3575,5),(3576,9),(3577,3),(3578,6),(3579,5),(3580,2),(3581,3),(3582,4),(3583,1),(3584,8),(3585,4),(3586,3),(3587,8),(3588,6),(3589,7),(3590,9),(3591,8),(3592,7),(3593,9),(3594,2),(3595,4),(3596,4),(3597,7),(3598,2),(3599,5),(3600,7),(3601,2),(3602,6),(3603,7),(3604,5),(3605,6),(3606,8),(3607,3),(3608,5),(3609,9),(3610,9),(3611,8),(3612,1),(3613,8),(3614,9),(3615,6),(3616,7),(3617,7),(3618,9),(3619,7),(3620,2),(3621,3),(3622,3),(3623,4),(3624,2),(3625,6),(3626,7),(3627,4),(3628,7),(3629,4),(3630,7),(3631,8),(3632,6),(3633,9),(3634,6),(3635,9),(3636,2),(3637,5),(3638,7),(3639,8),(3640,8),(3641,2),(3642,4),(3643,1),(3644,2),(3645,1),(3646,8),(3647,5),(3648,9),(3649,5),(3650,5),(3651,7),(3652,8),(3653,4),(3654,4),(3655,9),(3656,8),(3657,8),(3658,2),(3659,6),(3660,3),(3661,1),(3662,3),(3663,6),(3664,2),(3665,3),(3666,5),(3667,4),(3668,3),(3669,4),(3670,7),(3671,1),(3672,8),(3673,2),(3674,9),(3675,7),(3676,4),(3677,1),(3678,7),(3679,9),(3680,1),(3681,2),(3682,8),(3683,5),(3684,3),(3685,3),(3686,8),(3687,8),(3688,8),(3689,1),(3690,1),(3691,5),(3692,8),(3693,9),(3694,7),(3695,4),(3696,7),(3697,4),(3698,3),(3699,8),(3700,4),(3701,3),(3702,7),(3703,5),(3704,7),(3705,5),(3706,9),(3707,1),(3708,2),(3709,6),(3710,6),(3711,8),(3712,3),(3713,8),(3714,9),(3715,3),(3716,2),(3717,7),(3718,3),(3719,7),(3720,6),(3721,1),(3722,6),(3723,3),(3724,8),(3725,4),(3726,8),(3727,4),(3728,1),(3729,2),(3730,7),(3731,6),(3732,7),(3733,3),(3734,8),(3735,2),(3736,8),(3737,1),(3738,6),(3739,8),(3740,1),(3741,8),(3742,4),(3743,1),(3744,6),(3745,3),(3746,6),(3747,5),(3748,6),(3749,7),(3750,3),(3751,4),(3752,5),(3753,4),(3754,1),(3755,8),(3756,6),(3757,2),(3758,3),(3759,8),(3760,3),(3761,5),(3762,3),(3763,5),(3764,9),(3765,3),(3766,8),(3767,7),(3768,6),(3769,3),(3770,7),(3771,9),(3772,4),(3773,7),(3774,8),(3775,6),(3776,8),(3777,1),(3778,3),(3779,9),(3780,9),(3781,4),(3782,3),(3783,4),(3784,2),(3785,2),(3786,6),(3787,3),(3788,9),(3789,5),(3790,7),(3791,8),(3792,7),(3793,7),(3794,6),(3795,4),(3796,9),(3797,6),(3798,1),(3799,1),(3800,2),(3801,5),(3802,1),(3803,7),(3804,6),(3805,3),(3806,2),(3807,9),(3808,6),(3809,5),(3810,9),(3811,6),(3812,8),(3813,3),(3814,4),(3815,5),(3816,5),(3817,9),(3818,6),(3819,3),(3820,4),(3821,4),(3822,3),(3823,3),(3824,1),(3825,6),(3826,8),(3827,1),(3828,6),(3829,4),(3830,6),(3831,6),(3832,5),(3833,7),(3834,5),(3835,6),(3836,8),(3837,8),(3838,9),(3839,9),(3840,8),(3841,1),(3842,7),(3843,3),(3844,2),(3845,7),(3846,3),(3847,9),(3848,7),(3849,1),(3850,7),(3851,3),(3852,1),(3853,8),(3854,5),(3855,4),(3856,3),(3857,5),(3858,5),(3859,4),(3860,1),(3861,9),(3862,4),(3863,1),(3864,4),(3865,9),(3866,7),(3867,8),(3868,6),(3869,3),(3870,4),(3871,3),(3872,9),(3873,5),(3874,1),(3875,5),(3876,5),(3877,4),(3878,1),(3879,6),(3880,4),(3881,6),(3882,1),(3883,5),(3884,1),(3885,7),(3886,3),(3887,4),(3888,2),(3889,9),(3890,1),(3891,9),(3892,4),(3893,3),(3894,3),(3895,2),(3896,6),(3897,4),(3898,1),(3899,6),(3900,7),(3901,2),(3902,2),(3903,9),(3904,7),(3905,9),(3906,5),(3907,9),(3908,2),(3909,3),(3910,6),(3911,6),(3912,2),(3913,7),(3914,9),(3915,8),(3916,4),(3917,4),(3918,1),(3919,6),(3920,2),(3921,2),(3922,6),(3923,4),(3924,9),(3925,3),(3926,9),(3927,7),(3928,3),(3929,3),(3930,7),(3931,6),(3932,4),(3933,7),(3934,8),(3935,3),(3936,9),(3937,6),(3938,2),(3939,7),(3940,7),(3941,6),(3942,3),(3943,3),(3944,3),(3945,2),(3946,3),(3947,3),(3948,4),(3949,7),(3950,7),(3951,1),(3952,8),(3953,5),(3954,5),(3955,9),(3956,4),(3957,9),(3958,6),(3959,5),(3960,3),(3961,2),(3962,7),(3963,3),(3964,8),(3965,5),(3966,3),(3967,5),(3968,7),(3969,4),(3970,6),(3971,2),(3972,6),(3973,1),(3974,5),(3975,6),(3976,3),(3977,4),(3978,5),(3979,8),(3980,7),(3981,4),(3982,3),(3983,1),(3984,2),(3985,8),(3986,3),(3987,9),(3988,4),(3989,3),(3990,8),(3991,6),(3992,2),(3993,5),(3994,4),(3995,2),(3996,8),(3997,1),(3998,5),(3999,3),(4000,7),(4001,5),(4002,2),(4003,8),(4004,7),(4005,1),(4006,2),(4007,9),(4008,8),(4009,2),(4010,5),(4011,3),(4012,1),(4013,9),(4014,4),(4015,9),(4016,9),(4017,5),(4018,5),(4019,9),(4020,5),(4021,4),(4022,2),(4023,3),(4024,7),(4025,3),(4026,1),(4027,5),(4028,5),(4029,3),(4030,4),(4031,3),(4032,2),(4033,4),(4034,1),(4035,2),(4036,6),(4037,2),(4038,1),(4039,5),(4040,8),(4041,5),(4042,6),(4043,3),(4044,9),(4045,9),(4046,7),(4047,3),(4048,4),(4049,2),(4050,3),(4051,7),(4052,3),(4053,6),(4054,2),(4055,7),(4056,5),(4057,7),(4058,9),(4059,1),(4060,2),(4061,8),(4062,4),(4063,6),(4064,3),(4065,6),(4066,9),(4067,4),(4068,4),(4069,3),(4070,6),(4071,2),(4072,6),(4073,3),(4074,7),(4075,7),(4076,1),(4077,3),(4078,1),(4079,8),(4080,7),(4081,9),(4082,3),(4083,3),(4084,2),(4085,9),(4086,8),(4087,5),(4088,5),(4089,4),(4090,2),(4091,6),(4092,4),(4093,4),(4094,4),(4095,6),(4096,7),(4097,8),(4098,3),(4099,3),(4100,1),(4101,9),(4102,6),(4103,4),(4104,6),(4105,1),(4106,8),(4107,8),(4108,8),(4109,1),(4110,5),(4111,4),(4112,1),(4113,1),(4114,1),(4115,4),(4116,9),(4117,9),(4118,7),(4119,7),(4120,2),(4121,7),(4122,1),(4123,5),(4124,5),(4125,8),(4126,5),(4127,5),(4128,1),(4129,9),(4130,6),(4131,5),(4132,4),(4133,4),(4134,3),(4135,5),(4136,7),(4137,1),(4138,5),(4139,7),(4140,9),(4141,6),(4142,6),(4143,8),(4144,3),(4145,9),(4146,5),(4147,8),(4148,3),(4149,5),(4150,4),(4151,2),(4152,8),(4153,7),(4154,1),(4155,8),(4156,8),(4157,1),(4158,5),(4159,8),(4160,6),(4161,9),(4162,4),(4163,1),(4164,6),(4165,6),(4166,5),(4167,7),(4168,1),(4169,3),(4170,6),(4171,6),(4172,1),(4173,4),(4174,7),(4175,7),(4176,9),(4177,7),(4178,9),(4179,2),(4180,9),(4181,2),(4182,7),(4183,5),(4184,4),(4185,1),(4186,7),(4187,4),(4188,9),(4189,3),(4190,4),(4191,3),(4192,9),(4193,4),(4194,2),(4195,6),(4196,6),(4197,9),(4198,5),(4199,6),(4200,8),(4201,9),(4202,9),(4203,6),(4204,5),(4205,2),(4206,3),(4207,7),(4208,7),(4209,7),(4210,5),(4211,3),(4212,8),(4213,3),(4214,8),(4215,6),(4216,2),(4217,1),(4218,6),(4219,8),(4220,1),(4221,2),(4222,7),(4223,7),(4224,5),(4225,4),(4226,5),(4227,7),(4228,3),(4229,9),(4230,5),(4231,2),(4232,7),(4233,5),(4234,3),(4235,8),(4236,6),(4237,3),(4238,6),(4239,8),(4240,9),(4241,5),(4242,6),(4243,9),(4244,5),(4245,1),(4246,3),(4247,7),(4248,4),(4249,1),(4250,7),(4251,7),(4252,7),(4253,9),(4254,6),(4255,2),(4256,6),(4257,6),(4258,4),(4259,5),(4260,1),(4261,3),(4262,8),(4263,4),(4264,7),(4265,4),(4266,5),(4267,3),(4268,7),(4269,2),(4270,7),(4271,3),(4272,4),(4273,4),(4274,9),(4275,7),(4276,9),(4277,8),(4278,1),(4279,3),(4280,8),(4281,1),(4282,1),(4283,9),(4284,5),(4285,2),(4286,3),(4287,6),(4288,7),(4289,1),(4290,8),(4291,2),(4292,9),(4293,3),(4294,6),(4295,4),(4296,2),(4297,6),(4298,4),(4299,4),(4300,5),(4301,3),(4302,5),(4303,8),(4304,8),(4305,9),(4306,8),(4307,8),(4308,9),(4309,3),(4310,9),(4311,4),(4312,7),(4313,3),(4314,5),(4315,4),(4316,6),(4317,9),(4318,5),(4319,4),(4320,3),(4321,7),(4322,3),(4323,4),(4324,1),(4325,3),(4326,1),(4327,6),(4328,9),(4329,7),(4330,2),(4331,9),(4332,8),(4333,8),(4334,5),(4335,4),(4336,4),(4337,2),(4338,9),(4339,7),(4340,1),(4341,4),(4342,2),(4343,7),(4344,7),(4345,9),(4346,7),(4347,6),(4348,5),(4349,7),(4350,4),(4351,1),(4352,7),(4353,2),(4354,8),(4355,4),(4356,3),(4357,2),(4358,7),(4359,6),(4360,9),(4361,5),(4362,3),(4363,7),(4364,2),(4365,6),(4366,2),(4367,9),(4368,1),(4369,4),(4370,1),(4371,8),(4372,7),(4373,4),(4374,1),(4375,7),(4376,1),(4377,7),(4378,3),(4379,9),(4380,5),(4381,9),(4382,7),(4383,6),(4384,1),(4385,2),(4386,4),(4387,2),(4388,1),(4389,7),(4390,8),(4391,3),(4392,5),(4393,5),(4394,3),(4395,7),(4396,6),(4397,9),(4398,4),(4399,2),(4400,3),(4401,7),(4402,4),(4403,2),(4404,8),(4405,4),(4406,2),(4407,6),(4408,4),(4409,1),(4410,2),(4411,5),(4412,5),(4413,7),(4414,8),(4415,6),(4416,1),(4417,7),(4418,4),(4419,9),(4420,8),(4421,9),(4422,2),(4423,9),(4424,4),(4425,8),(4426,4),(4427,2),(4428,9),(4429,9),(4430,3),(4431,8),(4432,8),(4433,7),(4434,1),(4435,7),(4436,3),(4437,6),(4438,3),(4439,9),(4440,6),(4441,8),(4442,1),(4443,6),(4444,4),(4445,8),(4446,6),(4447,7),(4448,5),(4449,7),(4450,2),(4451,1),(4452,8),(4453,4),(4454,1),(4455,8),(4456,6),(4457,8),(4458,4),(4459,9),(4460,7),(4461,6),(4462,2),(4463,3),(4464,8),(4465,3),(4466,9),(4467,2),(4468,3),(4469,3),(4470,8),(4471,4),(4472,1),(4473,1),(4474,1),(4475,1),(4476,2),(4477,5),(4478,6),(4479,2),(4480,9),(4481,3),(4482,7),(4483,9),(4484,1),(4485,6),(4486,8),(4487,9),(4488,2),(4489,9),(4490,1),(4491,8),(4492,7),(4493,4),(4494,4),(4495,7),(4496,9),(4497,9),(4498,9),(4499,6),(4500,4),(4501,6),(4502,7),(4503,9),(4504,4),(4505,2),(4506,1),(4507,6),(4508,9),(4509,6),(4510,7),(4511,2),(4512,1),(4513,7),(4514,4),(4515,4),(4516,5),(4517,3),(4518,2),(4519,4),(4520,6),(4521,4),(4522,8),(4523,1),(4524,2),(4525,6),(4526,5),(4527,9),(4528,7),(4529,5),(4530,4),(4531,1),(4532,2),(4533,6),(4534,9),(4535,1),(4536,8),(4537,6),(4538,2),(4539,6),(4540,9),(4541,4),(4542,1),(4543,8),(4544,6),(4545,5),(4546,5),(4547,8),(4548,2),(4549,4),(4550,5),(4551,2),(4552,6),(4553,5),(4554,9),(4555,9),(4556,3),(4557,9),(4558,9),(4559,4),(4560,4),(4561,9),(4562,6),(4563,7),(4564,7),(4565,4),(4566,9),(4567,6),(4568,6),(4569,2),(4570,8),(4571,4),(4572,6),(4573,8),(4574,3),(4575,1),(4576,7),(4577,8),(4578,6),(4579,2),(4580,9),(4581,1),(4582,8),(4583,7),(4584,5),(4585,6),(4586,6),(4587,2),(4588,6),(4589,1),(4590,9),(4591,2),(4592,5),(4593,5),(4594,2),(4595,5),(4596,1),(4597,6),(4598,3),(4599,8),(4600,5),(4601,7),(4602,5),(4603,4),(4604,2),(4605,1),(4606,4),(4607,4),(4608,1),(4609,6),(4610,9),(4611,1),(4612,8),(4613,9),(4614,6),(4615,7),(4616,7),(4617,4),(4618,2),(4619,5),(4620,9),(4621,3),(4622,2),(4623,6),(4624,8),(4625,5),(4626,2),(4627,5),(4628,4),(4629,6),(4630,7),(4631,8),(4632,6),(4633,4),(4634,4),(4635,7),(4636,2),(4637,6),(4638,5),(4639,9),(4640,8),(4641,1),(4642,2),(4643,2),(4644,4),(4645,7),(4646,2),(4647,7),(4648,4),(4649,4),(4650,2),(4651,2),(4652,4),(4653,3),(4654,5),(4655,1),(4656,7),(4657,4),(4658,3),(4659,3),(4660,8),(4661,6),(4662,3),(4663,9),(4664,7),(4665,9),(4666,8),(4667,8),(4668,7),(4669,1),(4670,3),(4671,8),(4672,6),(4673,4),(4674,9),(4675,2),(4676,3),(4677,3),(4678,5),(4679,9),(4680,6),(4681,1),(4682,5),(4683,9),(4684,3),(4685,2),(4686,6),(4687,9),(4688,9),(4689,5),(4690,8),(4691,5),(4692,7),(4693,4),(4694,9),(4695,9),(4696,7),(4697,2),(4698,3),(4699,2),(4700,5),(4701,2),(4702,4),(4703,4),(4704,2),(4705,9),(4706,5),(4707,5),(4708,7),(4709,1),(4710,3),(4711,5),(4712,4),(4713,3),(4714,7),(4715,8),(4716,4),(4717,8),(4718,3),(4719,6),(4720,1),(4721,3),(4722,7),(4723,2),(4724,8),(4725,8),(4726,7),(4727,8),(4728,1),(4729,1),(4730,3),(4731,5),(4732,4),(4733,4),(4734,1),(4735,3),(4736,6),(4737,6),(4738,9),(4739,8),(4740,7),(4741,7),(4742,7),(4743,1),(4744,3),(4745,5),(4746,4),(4747,8),(4748,2),(4749,8),(4750,9),(4751,1),(4752,5),(4753,3),(4754,8),(4755,5),(4756,4),(4757,1),(4758,5),(4759,6),(4760,7),(4761,4),(4762,8),(4763,5),(4764,8),(4765,8),(4766,9),(4767,8),(4768,9),(4769,1),(4770,8),(4771,1),(4772,8),(4773,1),(4774,3),(4775,8),(4776,5),(4777,7),(4778,1),(4779,5),(4780,9),(4781,9),(4782,5),(4783,8),(4784,2),(4785,3),(4786,3),(4787,5),(4788,4),(4789,4),(4790,8),(4791,4),(4792,7),(4793,4),(4794,2),(4795,4),(4796,4),(4797,1),(4798,2),(4799,7),(4800,9),(4801,1),(4802,5),(4803,4),(4804,1),(4805,1),(4806,2),(4807,7),(4808,5),(4809,1),(4810,1),(4811,1),(4812,1),(4813,7),(4814,7),(4815,1),(4816,9),(4817,2),(4818,6),(4819,7),(4820,7),(4821,4),(4822,6),(4823,5),(4824,6),(4825,3),(4826,3),(4827,1),(4828,1),(4829,5),(4830,3),(4831,6),(4832,1),(4833,2),(4834,3),(4835,8),(4836,2),(4837,3),(4838,8),(4839,4),(4840,9),(4841,3),(4842,3),(4843,5),(4844,1),(4845,5),(4846,5),(4847,3),(4848,7),(4849,4),(4850,8),(4851,6),(4852,5),(4853,9),(4854,3),(4855,9),(4856,4),(4857,1),(4858,2),(4859,2),(4860,1),(4861,4),(4862,4),(4863,4),(4864,2),(4865,2),(4866,5),(4867,7),(4868,8),(4869,9),(4870,4),(4871,7),(4872,3),(4873,5),(4874,9),(4875,1),(4876,9),(4877,4),(4878,2),(4879,5),(4880,6),(4881,4),(4882,3),(4883,9),(4884,3),(4885,4),(4886,9),(4887,5),(4888,8),(4889,9),(4890,8),(4891,8),(4892,8),(4893,7),(4894,1),(4895,9),(4896,9),(4897,8),(4898,8),(4899,2),(4900,7),(4901,8),(4902,8),(4903,3),(4904,5),(4905,7),(4906,2),(4907,8),(4908,9),(4909,9),(4910,6),(4911,8),(4912,7),(4913,9),(4914,7),(4915,6),(4916,1),(4917,2),(4918,1),(4919,3),(4920,3),(4921,8),(4922,6),(4923,4),(4924,1),(4925,8),(4926,5),(4927,4),(4928,3),(4929,5),(4930,7),(4931,5),(4932,6),(4933,4),(4934,8),(4935,8),(4936,5),(4937,1),(4938,3),(4939,5),(4940,4),(4941,6),(4942,1),(4943,1),(4944,1),(4945,1),(4946,5),(4947,8),(4948,9),(4949,6),(4950,2),(4951,2),(4952,3),(4953,7),(4954,5),(4955,1),(4956,2),(4957,4),(4958,7),(4959,5),(4960,9),(4961,5),(4962,1),(4963,2),(4964,2),(4965,4),(4966,8),(4967,2),(4968,7),(4969,1),(4970,8),(4971,3),(4972,8),(4973,1),(4974,2),(4975,9),(4976,2),(4977,1),(4978,4),(4979,7),(4980,6),(4981,1),(4982,5),(4983,1),(4984,7),(4985,2),(4986,5),(4987,2),(4988,2),(4989,4),(4990,2),(4991,9),(4992,5),(4993,7),(4994,4),(4995,6),(4996,5),(4997,8),(4998,3),(4999,2),(5000,6),(5001,3),(5002,8),(5003,4),(5004,7),(5005,2),(5006,1),(5007,6),(5008,1),(5009,8),(5010,6),(5011,5),(5012,1),(5013,9),(5014,7),(5015,4),(5016,5),(5017,9),(5018,6),(5019,1),(5020,5),(5021,6),(5022,7),(5023,4),(5024,5),(5025,2),(5026,9),(5027,3),(5028,9),(5029,3),(5030,9),(5031,4),(5032,9),(5033,9),(5034,2),(5035,9),(5036,1),(5037,1),(5038,5),(5039,5),(5040,9),(5041,9),(5042,2),(5043,4),(5044,2),(5045,5),(5046,3),(5047,5),(5048,9),(5049,4),(5050,2),(5051,7),(5052,7),(5053,5),(5054,9),(5055,6),(5056,8),(5057,1),(5058,3),(5059,4),(5060,2),(5061,3),(5062,7),(5063,1),(5064,1),(5065,2),(5066,7),(5067,5),(5068,5),(5069,9),(5070,1),(5071,8),(5072,7),(5073,5),(5074,3),(5075,4),(5076,3),(5077,7),(5078,4),(5079,1),(5080,4),(5081,1),(5082,9),(5083,2),(5084,4),(5085,8),(5086,2),(5087,2),(5088,2),(5089,4),(5090,8),(5091,2),(5092,3),(5093,9),(5094,6),(5095,6),(5096,8),(5097,3),(5098,6),(5099,9),(5100,4),(5101,9),(5102,4),(5103,5),(5104,7),(5105,2),(5106,2),(5107,5),(5108,2),(5109,8),(5110,3),(5111,4),(5112,1),(5113,5),(5114,2),(5115,6),(5116,7),(5117,3),(5118,8),(5119,5),(5120,9),(5121,7),(5122,7),(5123,2),(5124,8),(5125,3),(5126,6),(5127,1),(5128,2),(5129,3),(5130,1),(5131,8),(5132,7),(5133,5),(5134,3),(5135,2),(5136,4),(5137,9),(5138,1),(5139,7),(5140,7),(5141,2),(5142,4),(5143,7),(5144,2),(5145,5),(5146,9),(5147,7),(5148,9),(5149,6),(5150,4),(5151,7),(5152,4),(5153,5),(5154,1),(5155,8),(5156,8),(5157,7),(5158,1),(5159,5),(5160,2),(5161,2),(5162,8),(5163,7),(5164,9),(5165,1),(5166,5),(5167,6),(5168,2),(5169,9),(5170,1),(5171,1),(5172,6),(5173,9),(5174,4),(5175,1),(5176,5),(5177,1),(5178,2),(5179,3),(5180,5),(5181,6),(5182,4),(5183,2),(5184,6),(5185,7),(5186,8),(5187,3),(5188,5),(5189,3),(5190,7),(5191,7),(5192,9),(5193,8),(5194,5),(5195,2),(5196,3),(5197,3),(5198,4),(5199,7),(5200,2),(5201,6),(5202,9),(5203,8),(5204,5),(5205,5),(5206,9),(5207,9),(5208,9),(5209,2),(5210,5),(5211,3),(5212,5),(5213,5),(5214,5),(5215,7),(5216,5),(5217,7),(5218,9),(5219,8),(5220,5),(5221,7),(5222,3),(5223,8),(5224,3),(5225,5),(5226,2),(5227,3),(5228,9),(5229,4),(5230,8),(5231,4),(5232,2),(5233,8),(5234,1),(5235,1),(5236,5),(5237,9),(5238,6),(5239,4),(5240,6),(5241,3),(5242,4),(5243,3),(5244,3),(5245,4),(5246,2),(5247,1),(5248,7),(5249,9),(5250,8),(5251,5),(5252,3),(5253,8),(5254,4),(5255,5),(5256,2),(5257,8),(5258,3),(5259,7),(5260,4),(5261,9),(5262,3),(5263,8),(5264,3),(5265,6),(5266,6),(5267,7),(5268,2),(5269,9),(5270,7),(5271,5),(5272,7),(5273,7),(5274,6),(5275,7),(5276,9),(5277,5),(5278,5),(5279,4),(5280,6),(5281,2),(5282,6),(5283,4),(5284,1),(5285,6),(5286,6),(5287,9),(5288,3),(5289,7),(5290,1),(5291,5),(5292,8),(5293,8),(5294,1),(5295,8),(5296,5),(5297,8),(5298,6),(5299,6),(5300,1),(5301,1),(5302,1),(5303,4),(5304,8),(5305,3),(5306,9),(5307,5),(5308,5),(5309,9),(5310,8),(5311,8),(5312,4),(5313,5),(5314,3),(5315,7),(5316,1),(5317,2),(5318,4),(5319,6),(5320,5),(5321,3),(5322,2),(5323,1),(5324,7),(5325,8),(5326,9),(5327,3),(5328,7),(5329,1),(5330,8),(5331,7),(5332,6),(5333,6),(5334,6),(5335,8),(5336,3),(5337,4),(5338,1),(5339,2),(5340,2),(5341,1),(5342,1),(5343,9),(5344,6),(5345,9),(5346,6),(5347,3),(5348,5),(5349,5),(5350,2),(5351,2),(5352,5),(5353,8),(5354,1),(5355,3),(5356,8),(5357,2),(5358,1),(5359,4),(5360,3),(5361,5),(5362,7),(5363,6),(5364,8),(5365,1),(5366,3),(5367,5),(5368,4),(5369,1),(5370,5),(5371,7),(5372,1),(5373,6),(5374,8),(5375,7),(5376,3),(5377,5),(5378,1),(5379,5),(5380,8),(5381,3),(5382,6),(5383,7),(5384,1),(5385,1),(5386,1),(5387,1),(5388,1),(5389,9),(5390,2),(5391,7),(5392,8),(5393,1),(5394,3),(5395,4),(5396,8),(5397,7),(5398,1),(5399,8),(5400,3),(5401,6),(5402,5),(5403,6),(5404,7),(5405,3),(5406,1),(5407,8),(5408,7),(5409,2),(5410,8),(5411,2),(5412,9),(5413,4),(5414,6),(5415,9),(5416,1),(5417,9),(5418,9),(5419,6),(5420,2),(5421,8),(5422,4),(5423,9),(5424,7),(5425,6),(5426,5),(5427,4),(5428,9),(5429,4),(5430,8),(5431,4),(5432,2),(5433,7),(5434,8),(5435,6),(5436,9),(5437,5),(5438,7),(5439,7),(5440,3),(5441,6),(5442,6),(5443,6),(5444,4),(5445,2),(5446,3),(5447,8),(5448,7),(5449,2),(5450,3),(5451,1),(5452,5),(5453,2),(5454,8),(5455,3),(5456,3),(5457,9),(5458,6),(5459,3),(5460,4),(5461,3),(5462,2),(5463,8),(5464,9),(5465,8),(5466,3),(5467,3),(5468,3),(5469,4),(5470,4),(5471,5),(5472,2),(5473,4),(5474,9),(5475,7),(5476,1),(5477,2),(5478,9),(5479,9),(5480,8),(5481,1),(5482,6),(5483,9),(5484,8),(5485,6),(5486,9),(5487,5),(5488,5),(5489,9),(5490,5),(5491,8),(5492,7),(5493,3),(5494,6),(5495,2),(5496,2),(5497,1),(5498,6),(5499,4),(5500,3),(5501,7),(5502,4),(5503,5),(5504,1),(5505,4),(5506,4),(5507,7),(5508,4),(5509,5),(5510,8),(5511,3),(5512,5),(5513,4),(5514,7),(5515,1),(5516,3),(5517,6),(5518,5),(5519,2),(5520,4),(5521,7),(5522,5),(5523,3),(5524,6),(5525,3),(5526,9),(5527,6),(5528,3),(5529,5),(5530,5),(5531,2),(5532,7),(5533,9),(5534,7),(5535,9),(5536,3),(5537,6),(5538,9),(5539,3),(5540,3),(5541,7),(5542,3),(5543,7),(5544,5),(5545,4),(5546,8),(5547,2),(5548,6),(5549,9),(5550,5),(5551,5),(5552,5),(5553,1),(5554,9),(5555,5),(5556,2),(5557,9),(5558,8),(5559,8),(5560,4),(5561,8),(5562,8),(5563,4),(5564,5),(5565,5),(5566,8),(5567,7),(5568,3),(5569,1),(5570,4),(5571,3),(5572,5),(5573,9),(5574,7),(5575,7),(5576,5),(5577,1),(5578,4),(5579,9),(5580,4),(5581,8),(5582,6),(5583,6),(5584,2),(5585,5),(5586,1),(5587,1),(5588,4),(5589,4),(5590,7),(5591,9),(5592,1),(5593,6),(5594,4),(5595,5),(5596,1),(5597,9),(5598,9),(5599,9),(5600,3),(5601,3),(5602,4),(5603,8),(5604,7),(5605,1),(5606,9),(5607,6),(5608,1),(5609,3),(5610,5),(5611,2),(5612,4),(5613,5),(5614,3),(5615,4),(5616,1),(5617,6),(5618,6),(5619,2),(5620,1),(5621,8),(5622,2),(5623,6),(5624,2),(5625,6),(5626,7),(5627,7),(5628,4),(5629,1),(5630,9),(5631,6),(5632,9),(5633,1),(5634,1),(5635,4),(5636,6),(5637,6),(5638,7),(5639,4),(5640,7),(5641,3),(5642,3),(5643,1),(5644,4),(5645,7),(5646,9),(5647,1),(5648,8),(5649,7),(5650,6),(5651,3),(5652,8),(5653,7),(5654,4),(5655,7),(5656,1),(5657,4),(5658,8),(5659,2),(5660,8),(5661,5),(5662,1),(5663,2),(5664,5),(5665,9),(5666,4),(5667,2),(5668,6),(5669,4),(5670,2),(5671,6),(5672,5),(5673,4),(5674,4),(5675,2),(5676,9),(5677,4),(5678,7),(5679,6),(5680,7),(5681,6),(5682,3),(5683,7),(5684,9),(5685,4),(5686,2),(5687,2),(5688,8),(5689,8),(5690,3),(5691,1),(5692,7),(5693,2),(5694,8),(5695,8),(5696,1),(5697,5),(5698,9),(5699,1),(5700,6),(5701,5),(5702,2),(5703,4),(5704,7),(5705,3),(5706,1),(5707,6),(5708,3),(5709,4),(5710,5),(5711,1),(5712,1),(5713,9),(5714,9),(5715,5),(5716,1),(5717,9),(5718,7),(5719,8),(5720,9),(5721,7),(5722,9),(5723,6),(5724,7),(5725,6),(5726,7),(5727,1),(5728,1),(5729,9),(5730,7),(5731,4),(5732,9),(5733,8),(5734,1),(5735,2),(5736,2),(5737,4),(5738,7),(5739,1),(5740,4),(5741,2),(5742,4),(5743,8),(5744,4),(5745,6),(5746,8),(5747,3),(5748,2),(5749,6),(5750,2),(5751,2),(5752,5),(5753,1),(5754,4),(5755,2),(5756,1),(5757,5),(5758,8),(5759,5),(5760,3),(5761,3),(5762,9),(5763,2),(5764,3),(5765,3),(5766,6),(5767,1),(5768,6),(5769,5),(5770,1),(5771,3),(5772,7),(5773,3),(5774,3),(5775,6),(5776,4),(5777,3),(5778,1),(5779,7),(5780,3),(5781,3),(5782,7),(5783,7),(5784,1),(5785,4),(5786,2),(5787,2),(5788,3),(5789,9),(5790,5),(5791,8),(5792,4),(5793,4),(5794,8),(5795,7),(5796,5),(5797,7),(5798,4),(5799,7),(5800,1),(5801,1),(5802,2),(5803,9),(5804,2),(5805,8),(5806,4),(5807,3),(5808,1),(5809,7),(5810,3),(5811,1),(5812,4),(5813,4),(5814,1),(5815,7),(5816,1),(5817,5),(5818,5),(5819,4),(5820,4),(5821,8),(5822,9),(5823,5),(5824,8),(5825,9),(5826,8),(5827,8),(5828,7),(5829,4),(5830,4),(5831,2),(5832,5),(5833,2),(5834,1),(5835,1),(5836,4),(5837,7),(5838,9),(5839,7),(5840,2),(5841,6),(5842,3),(5843,3),(5844,4),(5845,8),(5846,6),(5847,2),(5848,8),(5849,4),(5850,9),(5851,6),(5852,5),(5853,9),(5854,1),(5855,9),(5856,9),(5857,1),(5858,7),(5859,1),(5860,5),(5861,3),(5862,8),(5863,2),(5864,4),(5865,7),(5866,6),(5867,3),(5868,2),(5869,6),(5870,3),(5871,4),(5872,8),(5873,6),(5874,3),(5875,8),(5876,9),(5877,7),(5878,4),(5879,5),(5880,3),(5881,6),(5882,6),(5883,8),(5884,3),(5885,9),(5886,9),(5887,3),(5888,2),(5889,5),(5890,5),(5891,3),(5892,9),(5893,7),(5894,3),(5895,8),(5896,7),(5897,6),(5898,1),(5899,6),(5900,9),(5901,2),(5902,3),(5903,6),(5904,6),(5905,6),(5906,8),(5907,8),(5908,9),(5909,1),(5910,2),(5911,6),(5912,6),(5913,3),(5914,7),(5915,5),(5916,8),(5917,1),(5918,4),(5919,5),(5920,9),(5921,4),(5922,3),(5923,9),(5924,4),(5925,4),(5926,5),(5927,9),(5928,2),(5929,2),(5930,4),(5931,2),(5932,3),(5933,9),(5934,7),(5935,4),(5936,6),(5937,8),(5938,1),(5939,4),(5940,1),(5941,8),(5942,6),(5943,4),(5944,9),(5945,2),(5946,1),(5947,8),(5948,9),(5949,5),(5950,1),(5951,2),(5952,3),(5953,1),(5954,7),(5955,8),(5956,1),(5957,5),(5958,9),(5959,2),(5960,5),(5961,4),(5962,8),(5963,1),(5964,8),(5965,3),(5966,8),(5967,2),(5968,1),(5969,6),(5970,6),(5971,7),(5972,9),(5973,6),(5974,1),(5975,6),(5976,8),(5977,3),(5978,1),(5979,5),(5980,9),(5981,4),(5982,8),(5983,1),(5984,7),(5985,5),(5986,2),(5987,4),(5988,2),(5989,7),(5990,6),(5991,3),(5992,9),(5993,3),(5994,5),(5995,3),(5996,8),(5997,8),(5998,3),(5999,6),(6000,9),(6001,9),(6002,8),(6003,2),(6004,6),(6005,3),(6006,6),(6007,9),(6008,1),(6009,7),(6010,5),(6011,1),(6012,7),(6013,6),(6014,6),(6015,5),(6016,4),(6017,8),(6018,9),(6019,5),(6020,5),(6021,3),(6022,8),(6023,4),(6024,1),(6025,4),(6026,8),(6027,2),(6028,4),(6029,1),(6030,7),(6031,2),(6032,4),(6033,9),(6034,5),(6035,1),(6036,6),(6037,9),(6038,4),(6039,9),(6040,8),(6041,9),(6042,8),(6043,3),(6044,3),(6045,2),(6046,3),(6047,7),(6048,9),(6049,8),(6050,4),(6051,3),(6052,6),(6053,4),(6054,3),(6055,9),(6056,6),(6057,4),(6058,5),(6059,2),(6060,4),(6061,5),(6062,9),(6063,4),(6064,7),(6065,3),(6066,1),(6067,2),(6068,3),(6069,1),(6070,7),(6071,3),(6072,8),(6073,9),(6074,7),(6075,5),(6076,7),(6077,7),(6078,4),(6079,4),(6080,9),(6081,6),(6082,9),(6083,4),(6084,5),(6085,5),(6086,8),(6087,2),(6088,1),(6089,9),(6090,8),(6091,7),(6092,6),(6093,8),(6094,8),(6095,4),(6096,8),(6097,3),(6098,8),(6099,6),(6100,6),(6101,2),(6102,6),(6103,3),(6104,2),(6105,9),(6106,7),(6107,8),(6108,1),(6109,1),(6110,5),(6111,8),(6112,6),(6113,7),(6114,3),(6115,4),(6116,9),(6117,4),(6118,9),(6119,5),(6120,5),(6121,1),(6122,1),(6123,2),(6124,9),(6125,3),(6126,7),(6127,5),(6128,4),(6129,8),(6130,3),(6131,2),(6132,9),(6133,6),(6134,5),(6135,3),(6136,9),(6137,3),(6138,9),(6139,1),(6140,3),(6141,1),(6142,7),(6143,2),(6144,3),(6145,3),(6146,1),(6147,5),(6148,9),(6149,5),(6150,9),(6151,1),(6152,4),(6153,7),(6154,1),(6155,3),(6156,9),(6157,2),(6158,9),(6159,1),(6160,8),(6161,5),(6162,8),(6163,7),(6164,8),(6165,1),(6166,1),(6167,7),(6168,2),(6169,7),(6170,9),(6171,9),(6172,7),(6173,5),(6174,8),(6175,8),(6176,8),(6177,6),(6178,9),(6179,6),(6180,7),(6181,4),(6182,6),(6183,6),(6184,7),(6185,4),(6186,7),(6187,4),(6188,1),(6189,7),(6190,3),(6191,6),(6192,3),(6193,3),(6194,4),(6195,6),(6196,3),(6197,1),(6198,8),(6199,9),(6200,5),(6201,5),(6202,2),(6203,3),(6204,1),(6205,1),(6206,7),(6207,5),(6208,6),(6209,3),(6210,7),(6211,4),(6212,7),(6213,6),(6214,1),(6215,6),(6216,4),(6217,3),(6218,7),(6219,9),(6220,6),(6221,7),(6222,7),(6223,2),(6224,8),(6225,9),(6226,6),(6227,6),(6228,5),(6229,4),(6230,3),(6231,6),(6232,5),(6233,9),(6234,9),(6235,7),(6236,2),(6237,7),(6238,8),(6239,6),(6240,3),(6241,8),(6242,4),(6243,5),(6244,2),(6245,1),(6246,4),(6247,2),(6248,3),(6249,5),(6250,9),(6251,4),(6252,1),(6253,8),(6254,3),(6255,6),(6256,3),(6257,4),(6258,6),(6259,7),(6260,4),(6261,2),(6262,7),(6263,6),(6264,5),(6265,5),(6266,4),(6267,8),(6268,3),(6269,6),(6270,7),(6271,6),(6272,1),(6273,8),(6274,6),(6275,2),(6276,8),(6277,1),(6278,8),(6279,3),(6280,8),(6281,5),(6282,1),(6283,8),(6284,6),(6285,9),(6286,9),(6287,4),(6288,1),(6289,3),(6290,2),(6291,3),(6292,1),(6293,2),(6294,8),(6295,5),(6296,3),(6297,3),(6298,3),(6299,6),(6300,6),(6301,5),(6302,8),(6303,7),(6304,1),(6305,4),(6306,1),(6307,6),(6308,9),(6309,7),(6310,8),(6311,5),(6312,3),(6313,6),(6314,9),(6315,4),(6316,5),(6317,7),(6318,8),(6319,8),(6320,2),(6321,9),(6322,4),(6323,8),(6324,2),(6325,6),(6326,1),(6327,8),(6328,1),(6329,2),(6330,7),(6331,6),(6332,3),(6333,6),(6334,5),(6335,9),(6336,4),(6337,3),(6338,8),(6339,4),(6340,1),(6341,4),(6342,4),(6343,7),(6344,8),(6345,9),(6346,8),(6347,7),(6348,7),(6349,2),(6350,4),(6351,8),(6352,9),(6353,3),(6354,2),(6355,2),(6356,6),(6357,2),(6358,2),(6359,6),(6360,4),(6361,4),(6362,3),(6363,5),(6364,7),(6365,1),(6366,7),(6367,5),(6368,8),(6369,2),(6370,5),(6371,4),(6372,5),(6373,6),(6374,4),(6375,6),(6376,9),(6377,2),(6378,7),(6379,9),(6380,8),(6381,5),(6382,1),(6383,3),(6384,1),(6385,4),(6386,6),(6387,1),(6388,5),(6389,6),(6390,2),(6391,2),(6392,7),(6393,4),(6394,5),(6395,2),(6396,8),(6397,6),(6398,5),(6399,9),(6400,8),(6401,4),(6402,2),(6403,2),(6404,9),(6405,9),(6406,3),(6407,7),(6408,8),(6409,5),(6410,8),(6411,1),(6412,3),(6413,8),(6414,6),(6415,9),(6416,6),(6417,1),(6418,1),(6419,7),(6420,9),(6421,2),(6422,6),(6423,6),(6424,8),(6425,6),(6426,3),(6427,1),(6428,3),(6429,1),(6430,7),(6431,4),(6432,4),(6433,1),(6434,9),(6435,3),(6436,6),(6437,6),(6438,4),(6439,8),(6440,2),(6441,8),(6442,1),(6443,7),(6444,1),(6445,6),(6446,1),(6447,3),(6448,7),(6449,3),(6450,4),(6451,1),(6452,1),(6453,8),(6454,7),(6455,9),(6456,3),(6457,8),(6458,9),(6459,7),(6460,7),(6461,9),(6462,8),(6463,9),(6464,8),(6465,8),(6466,5),(6467,4),(6468,7),(6469,6),(6470,1),(6471,7),(6472,7),(6473,1),(6474,8),(6475,8),(6476,4),(6477,2),(6478,2),(6479,5),(6480,9),(6481,8),(6482,2),(6483,9),(6484,5),(6485,7),(6486,5),(6487,4),(6488,6),(6489,5),(6490,9),(6491,5),(6492,6),(6493,8),(6494,6),(6495,6),(6496,2),(6497,4),(6498,1),(6499,4),(6500,3),(6501,9),(6502,7),(6503,6),(6504,3),(6505,8),(6506,3),(6507,1),(6508,6),(6509,3),(6510,2),(6511,4),(6512,8),(6513,6),(6514,9),(6515,2),(6516,1),(6517,8),(6518,2),(6519,8),(6520,7),(6521,6),(6522,5),(6523,8),(6524,3),(6525,6),(6526,4),(6527,3),(6528,7),(6529,6),(6530,8),(6531,6),(6532,4),(6533,8),(6534,1),(6535,4),(6536,7),(6537,6),(6538,9),(6539,4),(6540,6),(6541,9),(6542,2),(6543,1),(6544,4),(6545,6),(6546,7),(6547,3),(6548,1),(6549,5),(6550,3),(6551,6),(6552,7),(6553,3),(6554,5),(6555,8),(6556,9),(6557,8),(6558,1),(6559,9),(6560,7),(6561,3),(6562,1),(6563,2),(6564,8),(6565,1),(6566,9),(6567,7),(6568,3),(6569,2),(6570,8),(6571,6),(6572,5),(6573,7),(6574,5),(6575,5),(6576,7),(6577,8),(6578,4),(6579,5),(6580,7),(6581,4),(6582,2),(6583,5),(6584,3),(6585,7),(6586,2),(6587,2),(6588,6),(6589,8),(6590,4),(6591,3),(6592,3),(6593,9),(6594,5),(6595,8),(6596,8),(6597,9),(6598,7),(6599,2),(6600,4),(6601,2),(6602,3),(6603,6),(6604,3),(6605,7),(6606,6),(6607,9),(6608,1),(6609,5),(6610,9),(6611,4),(6612,1),(6613,8),(6614,1),(6615,6),(6616,3),(6617,8),(6618,4),(6619,5),(6620,8),(6621,5),(6622,8),(6623,2),(6624,8),(6625,8),(6626,3),(6627,1),(6628,2),(6629,4),(6630,2),(6631,5),(6632,7),(6633,6),(6634,2),(6635,3),(6636,3),(6637,8),(6638,7),(6639,6),(6640,7),(6641,9),(6642,2),(6643,8),(6644,9),(6645,8),(6646,7),(6647,1),(6648,1),(6649,2),(6650,4),(6651,3),(6652,5),(6653,2),(6654,5),(6655,5),(6656,5),(6657,3),(6658,3),(6659,6),(6660,9),(6661,8),(6662,4),(6663,5),(6664,2),(6665,7),(6666,2),(6667,1),(6668,1),(6669,9),(6670,3),(6671,8),(6672,9),(6673,5),(6674,6),(6675,4),(6676,9),(6677,7),(6678,9),(6679,6),(6680,8),(6681,9),(6682,6),(6683,4),(6684,9),(6685,3),(6686,2),(6687,5),(6688,7),(6689,9),(6690,9),(6691,8),(6692,7),(6693,1),(6694,4),(6695,3),(6696,1),(6697,3),(6698,7),(6699,1),(6700,8),(6701,1),(6702,6),(6703,1),(6704,4),(6705,2),(6706,1),(6707,5),(6708,4),(6709,6),(6710,2),(6711,5),(6712,1),(6713,5),(6714,4),(6715,2),(6716,1),(6717,2),(6718,1),(6719,3),(6720,2),(6721,8),(6722,2),(6723,1),(6724,7),(6725,6),(6726,9),(6727,4),(6728,7),(6729,8),(6730,3),(6731,2),(6732,4),(6733,2),(6734,2),(6735,7),(6736,1),(6737,2),(6738,3),(6739,8),(6740,3),(6741,8),(6742,3),(6743,4),(6744,3),(6745,6),(6746,6),(6747,7),(6748,2),(6749,3),(6750,7),(6751,6),(6752,6),(6753,6),(6754,9),(6755,3),(6756,7),(6757,3),(6758,2),(6759,4),(6760,7),(6761,9),(6762,3),(6763,4),(6764,1),(6765,9),(6766,2),(6767,1),(6768,6),(6769,7),(6770,1),(6771,1),(6772,7),(6773,3),(6774,1),(6775,9),(6776,2),(6777,3),(6778,6),(6779,1),(6780,1),(6781,8),(6782,5),(6783,1),(6784,4),(6785,1),(6786,5),(6787,7),(6788,3),(6789,7),(6790,2),(6791,6),(6792,8),(6793,4),(6794,1),(6795,8),(6796,3),(6797,5),(6798,6),(6799,8),(6800,2),(6801,1),(6802,2),(6803,6),(6804,6),(6805,4),(6806,6),(6807,3),(6808,5),(6809,6),(6810,5),(6811,4),(6812,3),(6813,5),(6814,2),(6815,3),(6816,6),(6817,5),(6818,4),(6819,4),(6820,6),(6821,2),(6822,4),(6823,9),(6824,4),(6825,8),(6826,9),(6827,8),(6828,5),(6829,9),(6830,1),(6831,6),(6832,6),(6833,7),(6834,7),(6835,8),(6836,2),(6837,8),(6838,4),(6839,1),(6840,4),(6841,6),(6842,8),(6843,1),(6844,2),(6845,3),(6846,1),(6847,7),(6848,2),(6849,2),(6850,1),(6851,8),(6852,6),(6853,1),(6854,4),(6855,9),(6856,8),(6857,1),(6858,9),(6859,1),(6860,3),(6861,3),(6862,4),(6863,7),(6864,5),(6865,4),(6866,3),(6867,8),(6868,5),(6869,6),(6870,9),(6871,5),(6872,8),(6873,9),(6874,4),(6875,2),(6876,3),(6877,9),(6878,9),(6879,4),(6880,5),(6881,5),(6882,4),(6883,9),(6884,3),(6885,6),(6886,2),(6887,2),(6888,8),(6889,3),(6890,8),(6891,4),(6892,5),(6893,5),(6894,9),(6895,1),(6896,2),(6897,8),(6898,5),(6899,2),(6900,3),(6901,7),(6902,9),(6903,6),(6904,7),(6905,1),(6906,7),(6907,5),(6908,9),(6909,7),(6910,2),(6911,1),(6912,1),(6913,3),(6914,4),(6915,1),(6916,2),(6917,6),(6918,5),(6919,9),(6920,3),(6921,5),(6922,7),(6923,9),(6924,2),(6925,4),(6926,6),(6927,5),(6928,1),(6929,9),(6930,1),(6931,8),(6932,7),(6933,8),(6934,4),(6935,6),(6936,7),(6937,1),(6938,6),(6939,2),(6940,8),(6941,8),(6942,5),(6943,9),(6944,2),(6945,4),(6946,2),(6947,3),(6948,1),(6949,3),(6950,1),(6951,9),(6952,3),(6953,6),(6954,5),(6955,7),(6956,3),(6957,1),(6958,1),(6959,5),(6960,1),(6961,9),(6962,3),(6963,3),(6964,9),(6965,3),(6966,8),(6967,5),(6968,9),(6969,6),(6970,6),(6971,4),(6972,7),(6973,2),(6974,3),(6975,8),(6976,3),(6977,8),(6978,3),(6979,4),(6980,6),(6981,9),(6982,8),(6983,7),(6984,4),(6985,3),(6986,4),(6987,3),(6988,1),(6989,4),(6990,6),(6991,2),(6992,8),(6993,9),(6994,5),(6995,5),(6996,1),(6997,9),(6998,5),(6999,5),(7000,3),(7001,3),(7002,1),(7003,1),(7004,5),(7005,3),(7006,5),(7007,2),(7008,6),(7009,8),(7010,2),(7011,1),(7012,4),(7013,5),(7014,6),(7015,8),(7016,2),(7017,4),(7018,6),(7019,8),(7020,4),(7021,7),(7022,4),(7023,3),(7024,8),(7025,3),(7026,8),(7027,7),(7028,5),(7029,1),(7030,6),(7031,8),(7032,1),(7033,1),(7034,7),(7035,8),(7036,3),(7037,5),(7038,8),(7039,7),(7040,8),(7041,4),(7042,8),(7043,7),(7044,7),(7045,1),(7046,4),(7047,7),(7048,9),(7049,8),(7050,1),(7051,4),(7052,4),(7053,4),(7054,6),(7055,6),(7056,4),(7057,9),(7058,1),(7059,4),(7060,6),(7061,6),(7062,1),(7063,2),(7064,4),(7065,9),(7066,1),(7067,9),(7068,7),(7069,2),(7070,4),(7071,3),(7072,9),(7073,6),(7074,5),(7075,5),(7076,1),(7077,4),(7078,2),(7079,2),(7080,1),(7081,2),(7082,2),(7083,3),(7084,7),(7085,2),(7086,2),(7087,7),(7088,6),(7089,6),(7090,9),(7091,7),(7092,5),(7093,3),(7094,2),(7095,6),(7096,5),(7097,8),(7098,1),(7099,7),(7100,9),(7101,2),(7102,1),(7103,5),(7104,2),(7105,9),(7106,5),(7107,5),(7108,7),(7109,9),(7110,2),(7111,7),(7112,4),(7113,7),(7114,1),(7115,8),(7116,8),(7117,9),(7118,7),(7119,2),(7120,1),(7121,9),(7122,9),(7123,7),(7124,9),(7125,6),(7126,9),(7127,9),(7128,7),(7129,3),(7130,3),(7131,4),(7132,5),(7133,4),(7134,2),(7135,2),(7136,2),(7137,4),(7138,9),(7139,2),(7140,4),(7141,7),(7142,2),(7143,5),(7144,2),(7145,2),(7146,4),(7147,5),(7148,2),(7149,3),(7150,8),(7151,9),(7152,3),(7153,4),(7154,6),(7155,5),(7156,3),(7157,8),(7158,5),(7159,5),(7160,7),(7161,4),(7162,3),(7163,6),(7164,2),(7165,2),(7166,3),(7167,5),(7168,2),(7169,8),(7170,2),(7171,8),(7172,2),(7173,9),(7174,7),(7175,8),(7176,9),(7177,5),(7178,1),(7179,6),(7180,9),(7181,8),(7182,3),(7183,4),(7184,4),(7185,2),(7186,6),(7187,5),(7188,1),(7189,6),(7190,9),(7191,8),(7192,8),(7193,3),(7194,5),(7195,1),(7196,9),(7197,7),(7198,8),(7199,1),(7200,6),(7201,8),(7202,6),(7203,9),(7204,8),(7205,2),(7206,3),(7207,2),(7208,2),(7209,9),(7210,3),(7211,9),(7212,5),(7213,3),(7214,2),(7215,3),(7216,4),(7217,9),(7218,6),(7219,2),(7220,9),(7221,3),(7222,6),(7223,3),(7224,3),(7225,4),(7226,8),(7227,3),(7228,8),(7229,3),(7230,5),(7231,3),(7232,7),(7233,5),(7234,2),(7235,8),(7236,9),(7237,7),(7238,4),(7239,5),(7240,3),(7241,2),(7242,9),(7243,5),(7244,8),(7245,6),(7246,9),(7247,9),(7248,1),(7249,9),(7250,1),(7251,1),(7252,9),(7253,8),(7254,3),(7255,9),(7256,2),(7257,4),(7258,8),(7259,6),(7260,5),(7261,5),(7262,1),(7263,4),(7264,5),(7265,4),(7266,1),(7267,6),(7268,4),(7269,7),(7270,9),(7271,4),(7272,3),(7273,5),(7274,6),(7275,7),(7276,9),(7277,6),(7278,9),(7279,6),(7280,1),(7281,9),(7282,3),(7283,9),(7284,5),(7285,5),(7286,5),(7287,7),(7288,7),(7289,5),(7290,8),(7291,8),(7292,2),(7293,2),(7294,6),(7295,1),(7296,4),(7297,8),(7298,7),(7299,4),(7300,4),(7301,7),(7302,1),(7303,5),(7304,9),(7305,5),(7306,2),(7307,9),(7308,4),(7309,3),(7310,7),(7311,7),(7312,4),(7313,6),(7314,5),(7315,4),(7316,2),(7317,3),(7318,2),(7319,8),(7320,8),(7321,3),(7322,1),(7323,9),(7324,2),(7325,3),(7326,7),(7327,2),(7328,3),(7329,5),(7330,6),(7331,3),(7332,2),(7333,3),(7334,1),(7335,7),(7336,1),(7337,9),(7338,6),(7339,8),(7340,6),(7341,9),(7342,8),(7343,2),(7344,1),(7345,3),(7346,5),(7347,5),(7348,8),(7349,3),(7350,9),(7351,9),(7352,6),(7353,3),(7354,2),(7355,9),(7356,1),(7357,9),(7358,6),(7359,5),(7360,3),(7361,2),(7362,8),(7363,3),(7364,7),(7365,1),(7366,9),(7367,7),(7368,4),(7369,2),(7370,1),(7371,8),(7372,9),(7373,6),(7374,6),(7375,7),(7376,4),(7377,5),(7378,6),(7379,9),(7380,7),(7381,6),(7382,5),(7383,6),(7384,6),(7385,3),(7386,4),(7387,4),(7388,7),(7389,4),(7390,8),(7391,3),(7392,3),(7393,3),(7394,2),(7395,6),(7396,1),(7397,1),(7398,1),(7399,6),(7400,1),(7401,7),(7402,2),(7403,5),(7404,2),(7405,3),(7406,7),(7407,7),(7408,9),(7409,5),(7410,8),(7411,6),(7412,7),(7413,7),(7414,7),(7415,1),(7416,8),(7417,4),(7418,1),(7419,8),(7420,3),(7421,1),(7422,5),(7423,2),(7424,9),(7425,6),(7426,3),(7427,1),(7428,1),(7429,5),(7430,9),(7431,8),(7432,8),(7433,7),(7434,5),(7435,8),(7436,4),(7437,7),(7438,5),(7439,3),(7440,9),(7441,1),(7442,5),(7443,2),(7444,2),(7445,5),(7446,8),(7447,9),(7448,3),(7449,6),(7450,7),(7451,9),(7452,1),(7453,5),(7454,7),(7455,3),(7456,3),(7457,8),(7458,9),(7459,2),(7460,3),(7461,9),(7462,4),(7463,4),(7464,7),(7465,8),(7466,7),(7467,3),(7468,4),(7469,7),(7470,9),(7471,6),(7472,6),(7473,7),(7474,1),(7475,1),(7476,3),(7477,2),(7478,8),(7479,7),(7480,8),(7481,9),(7482,9),(7483,8),(7484,4),(7485,3),(7486,7),(7487,7),(7488,9),(7489,5),(7490,6),(7491,7),(7492,2),(7493,1),(7494,2),(7495,4),(7496,5),(7497,2),(7498,7),(7499,8),(7500,9),(7501,2),(7502,7),(7503,9),(7504,4),(7505,9),(7506,6),(7507,5),(7508,4),(7509,1),(7510,7),(7511,8),(7512,6),(7513,1),(7514,3),(7515,7),(7516,1),(7517,4),(7518,3),(7519,1),(7520,7),(7521,4),(7522,2),(7523,7),(7524,9),(7525,6),(7526,1),(7527,4),(7528,4),(7529,3),(7530,4),(7531,8),(7532,6),(7533,8),(7534,7),(7535,8),(7536,8),(7537,8),(7538,3),(7539,9),(7540,7),(7541,1),(7542,4),(7543,9),(7544,8),(7545,7),(7546,8),(7547,5),(7548,5),(7549,6),(7550,2),(7551,6),(7552,7),(7553,3),(7554,3),(7555,2),(7556,1),(7557,4),(7558,3),(7559,7),(7560,2),(7561,7),(7562,4),(7563,5),(7564,6),(7565,4),(7566,2),(7567,8),(7568,6),(7569,8),(7570,5),(7571,3),(7572,5),(7573,1),(7574,9),(7575,9),(7576,3),(7577,4),(7578,9),(7579,8),(7580,8),(7581,2),(7582,3),(7583,7),(7584,2),(7585,1),(7586,9),(7587,6),(7588,1),(7589,3),(7590,1),(7591,7),(7592,2),(7593,3),(7594,4),(7595,5),(7596,2),(7597,3),(7598,8),(7599,9),(7600,4),(7601,6),(7602,9),(7603,7),(7604,9),(7605,4),(7606,2),(7607,9),(7608,6),(7609,2),(7610,9),(7611,7),(7612,1),(7613,7),(7614,9),(7615,4),(7616,4),(7617,8),(7618,4),(7619,1),(7620,8),(7621,8),(7622,6),(7623,2),(7624,3),(7625,9),(7626,7),(7627,4),(7628,2),(7629,5),(7630,7),(7631,4),(7632,6),(7633,9),(7634,6),(7635,7),(7636,8),(7637,8),(7638,2),(7639,2),(7640,8),(7641,7),(7642,1),(7643,5),(7644,6),(7645,2),(7646,8),(7647,4),(7648,2),(7649,1),(7650,4),(7651,4),(7652,2),(7653,6),(7654,6),(7655,2),(7656,5),(7657,3),(7658,5),(7659,7),(7660,6),(7661,9),(7662,1),(7663,6),(7664,4),(7665,1),(7666,4),(7667,6),(7668,5),(7669,6),(7670,8),(7671,7),(7672,7),(7673,2),(7674,3),(7675,1),(7676,9),(7677,2),(7678,5),(7679,1),(7680,6),(7681,3),(7682,4),(7683,8),(7684,3),(7685,2),(7686,9),(7687,5),(7688,1),(7689,9),(7690,3),(7691,6),(7692,1),(7693,9),(7694,8),(7695,4),(7696,8),(7697,3),(7698,5),(7699,5),(7700,9),(7701,2),(7702,7),(7703,5),(7704,1),(7705,1),(7706,1),(7707,5),(7708,1),(7709,7),(7710,1),(7711,9),(7712,9),(7713,6),(7714,4),(7715,9),(7716,3),(7717,3),(7718,6),(7719,2),(7720,9),(7721,7),(7722,4),(7723,2),(7724,9),(7725,1),(7726,8),(7727,8),(7728,6),(7729,2),(7730,9),(7731,9),(7732,6),(7733,8),(7734,6),(7735,1),(7736,3),(7737,3),(7738,1),(7739,1),(7740,2),(7741,2),(7742,5),(7743,7),(7744,4),(7745,3),(7746,7),(7747,8),(7748,5),(7749,2),(7750,4),(7751,8),(7752,9),(7753,5),(7754,6),(7755,9),(7756,3),(7757,4),(7758,1),(7759,2),(7760,9),(7761,6),(7762,5),(7763,4),(7764,9),(7765,3),(7766,7),(7767,5),(7768,3),(7769,7),(7770,4),(7771,5),(7772,8),(7773,9),(7774,8),(7775,5),(7776,5),(7777,2),(7778,9),(7779,7),(7780,6),(7781,3),(7782,6),(7783,7),(7784,6),(7785,7),(7786,6),(7787,8),(7788,9),(7789,8),(7790,1),(7791,3),(7792,3),(7793,4),(7794,1),(7795,1),(7796,2),(7797,6),(7798,7),(7799,4),(7800,1),(7801,6),(7802,3),(7803,4),(7804,5),(7805,4),(7806,8),(7807,1),(7808,3),(7809,4),(7810,1),(7811,4),(7812,8),(7813,4),(7814,8),(7815,8),(7816,1),(7817,8),(7818,1),(7819,2),(7820,5),(7821,8),(7822,2),(7823,1),(7824,7),(7825,5),(7826,2),(7827,2),(7828,4),(7829,2),(7830,1),(7831,3),(7832,1),(7833,5),(7834,9),(7835,1),(7836,3),(7837,5),(7838,4),(7839,9),(7840,4),(7841,3),(7842,2),(7843,5),(7844,8),(7845,8),(7846,5),(7847,7),(7848,8),(7849,4),(7850,9),(7851,7),(7852,8),(7853,1),(7854,1),(7855,8),(7856,3),(7857,3),(7858,4),(7859,3),(7860,5),(7861,7),(7862,3),(7863,3),(7864,4),(7865,9),(7866,9),(7867,5),(7868,4),(7869,4),(7870,4),(7871,4),(7872,1),(7873,7),(7874,1),(7875,7),(7876,7),(7877,5),(7878,2),(7879,3),(7880,8),(7881,8),(7882,8),(7883,5),(7884,7),(7885,4),(7886,4),(7887,3),(7888,4),(7889,3),(7890,2),(7891,6),(7892,6),(7893,4),(7894,4),(7895,4),(7896,3),(7897,6),(7898,3),(7899,3),(7900,9),(7901,7),(7902,1),(7903,5),(7904,6),(7905,7),(7906,8),(7907,8),(7908,1),(7909,8),(7910,9),(7911,4),(7912,2),(7913,6),(7914,8),(7915,1),(7916,1),(7917,6),(7918,1),(7919,9),(7920,9),(7921,6),(7922,3),(7923,8),(7924,9),(7925,6),(7926,3),(7927,4),(7928,4),(7929,5),(7930,4),(7931,1),(7932,7),(7933,9),(7934,3),(7935,4),(7936,9),(7937,4),(7938,4),(7939,1),(7940,1),(7941,1),(7942,1),(7943,2),(7944,1),(7945,8),(7946,9),(7947,8),(7948,7),(7949,5),(7950,3),(7951,1),(7952,1),(7953,9),(7954,5),(7955,4),(7956,1),(7957,8),(7958,2),(7959,7),(7960,9),(7961,6),(7962,9),(7963,6),(7964,7),(7965,2),(7966,5),(7967,7),(7968,9),(7969,6),(7970,7),(7971,7),(7972,6),(7973,1),(7974,3),(7975,5),(7976,7),(7977,8),(7978,2),(7979,1),(7980,8),(7981,6),(7982,6),(7983,6),(7984,9),(7985,2),(7986,7),(7987,9),(7988,6),(7989,8),(7990,9),(7991,2),(7992,2),(7993,5),(7994,2),(7995,6),(7996,9),(7997,3),(7998,7),(7999,5),(8000,4),(8001,8),(8002,6),(8003,5),(8004,8),(8005,4),(8006,9),(8007,6),(8008,3),(8009,4),(8010,3),(8011,6),(8012,3),(8013,8),(8014,7),(8015,9),(8016,7),(8017,1),(8018,6),(8019,1),(8020,1),(8021,4),(8022,4),(8023,3),(8024,6),(8025,2),(8026,5),(8027,7),(8028,7),(8029,2),(8030,5),(8031,6),(8032,5),(8033,2),(8034,2),(8035,1),(8036,3),(8037,9),(8038,3),(8039,5),(8040,9),(8041,8),(8042,5),(8043,7),(8044,8),(8045,5),(8046,9),(8047,4),(8048,3),(8049,9),(8050,6),(8051,6),(8052,9),(8053,2),(8054,1),(8055,9),(8056,6),(8057,1),(8058,5),(8059,8),(8060,4),(8061,7),(8062,3),(8063,4),(8064,1),(8065,1),(8066,4),(8067,5),(8068,5),(8069,1),(8070,4),(8071,8),(8072,3),(8073,9),(8074,5),(8075,4),(8076,6),(8077,5),(8078,2),(8079,2),(8080,8),(8081,6),(8082,6),(8083,5),(8084,3),(8085,5),(8086,8),(8087,2),(8088,9),(8089,3),(8090,8),(8091,6),(8092,6),(8093,6),(8094,8),(8095,1),(8096,6),(8097,5),(8098,7),(8099,7),(8100,5),(8101,2),(8102,1),(8103,3),(8104,6),(8105,2),(8106,9),(8107,7),(8108,5),(8109,8),(8110,8),(8111,1),(8112,4),(8113,5),(8114,6),(8115,6),(8116,8),(8117,9),(8118,2),(8119,6),(8120,3),(8121,8),(8122,6),(8123,2),(8124,7),(8125,3),(8126,6),(8127,3),(8128,5),(8129,2),(8130,4),(8131,6),(8132,2),(8133,1),(8134,4),(8135,4),(8136,4),(8137,1),(8138,7),(8139,8),(8140,2),(8141,7),(8142,7),(8143,7),(8144,8),(8145,7),(8146,2),(8147,6),(8148,6),(8149,2),(8150,8),(8151,5),(8152,1),(8153,3),(8154,7),(8155,7),(8156,9),(8157,7),(8158,1),(8159,2),(8160,6),(8161,9),(8162,6),(8163,5),(8164,4),(8165,8),(8166,5),(8167,3),(8168,3),(8169,4),(8170,5),(8171,2),(8172,5),(8173,7),(8174,7),(8175,4),(8176,8),(8177,9),(8178,7),(8179,5),(8180,5),(8181,3),(8182,6),(8183,2),(8184,3),(8185,6),(8186,8),(8187,3),(8188,2),(8189,9),(8190,5),(8191,6),(8192,2),(8193,1),(8194,4),(8195,5),(8196,2),(8197,9),(8198,1),(8199,3),(8200,9),(8201,9),(8202,3),(8203,4),(8204,4),(8205,9),(8206,5),(8207,4),(8208,2),(8209,5),(8210,3),(8211,6),(8212,8),(8213,1),(8214,1),(8215,6),(8216,3),(8217,6),(8218,8),(8219,7),(8220,4),(8221,1),(8222,1),(8223,1),(8224,5),(8225,8),(8226,4),(8227,7),(8228,5),(8229,8),(8230,2),(8231,5),(8232,9),(8233,1),(8234,6),(8235,1),(8236,6),(8237,6),(8238,3),(8239,1),(8240,2),(8241,1),(8242,1),(8243,3),(8244,5),(8245,2),(8246,4),(8247,4),(8248,1),(8249,9),(8250,2),(8251,2),(8252,8),(8253,9),(8254,9),(8255,1),(8256,8),(8257,2),(8258,2),(8259,5),(8260,3),(8261,9),(8262,6),(8263,5),(8264,3),(8265,2),(8266,6),(8267,6),(8268,2),(8269,2),(8270,6),(8271,3),(8272,9),(8273,3),(8274,2),(8275,5),(8276,4),(8277,4),(8278,8),(8279,1),(8280,2),(8281,5),(8282,5),(8283,5),(8284,5),(8285,5),(8286,6),(8287,3),(8288,4),(8289,6),(8290,3),(8291,5),(8292,5),(8293,3),(8294,8),(8295,9),(8296,1),(8297,2),(8298,5),(8299,6),(8300,9),(8301,4),(8302,9),(8303,7),(8304,3),(8305,4),(8306,4),(8307,3),(8308,2),(8309,4),(8310,6),(8311,1),(8312,8),(8313,8),(8314,6),(8315,6),(8316,4),(8317,9),(8318,4),(8319,5),(8320,8),(8321,8),(8322,4),(8323,1),(8324,3),(8325,9),(8326,6),(8327,2),(8328,3),(8329,9),(8330,7),(8331,3),(8332,7),(8333,5),(8334,2),(8335,3),(8336,5),(8337,9),(8338,9),(8339,8),(8340,8),(8341,2),(8342,9),(8343,1),(8344,9),(8345,6),(8346,7),(8347,2),(8348,8),(8349,2),(8350,7),(8351,1),(8352,7),(8353,6),(8354,8),(8355,6),(8356,7),(8357,1),(8358,7),(8359,4),(8360,7),(8361,5),(8362,7),(8363,5),(8364,9),(8365,1),(8366,3),(8367,4),(8368,7),(8369,2),(8370,7),(8371,3),(8372,9),(8373,8),(8374,1),(8375,9),(8376,1),(8377,3),(8378,8),(8379,9),(8380,3),(8381,5),(8382,2),(8383,4),(8384,8),(8385,1),(8386,5),(8387,6),(8388,6),(8389,6),(8390,6),(8391,6),(8392,8),(8393,7),(8394,6),(8395,5),(8396,7),(8397,3),(8398,5),(8399,6),(8400,7),(8401,7),(8402,5),(8403,2),(8404,3),(8405,4),(8406,5),(8407,3),(8408,5),(8409,4),(8410,7),(8411,1),(8412,6),(8413,2),(8414,7),(8415,2),(8416,7),(8417,3),(8418,1),(8419,6),(8420,3),(8421,6),(8422,9),(8423,9),(8424,6),(8425,6),(8426,3),(8427,1),(8428,7),(8429,4),(8430,8),(8431,5),(8432,7),(8433,3),(8434,1),(8435,4),(8436,1),(8437,2),(8438,7),(8439,8),(8440,9),(8441,9),(8442,4),(8443,2),(8444,9),(8445,8),(8446,8),(8447,6),(8448,7),(8449,7),(8450,1),(8451,7),(8452,3),(8453,4),(8454,5),(8455,9),(8456,3),(8457,4),(8458,2),(8459,2),(8460,2),(8461,2),(8462,9),(8463,5),(8464,4),(8465,8),(8466,7),(8467,4),(8468,8),(8469,3),(8470,3),(8471,2),(8472,7),(8473,5),(8474,7),(8475,5),(8476,1),(8477,4),(8478,9),(8479,3),(8480,7),(8481,6),(8482,5),(8483,7),(8484,6),(8485,3),(8486,9),(8487,2),(8488,1),(8489,5),(8490,8),(8491,7),(8492,4),(8493,1),(8494,6),(8495,4),(8496,4),(8497,9),(8498,1),(8499,6),(8500,8),(8501,7),(8502,5),(8503,3),(8504,2),(8505,5),(8506,9),(8507,2),(8508,4),(8509,1),(8510,3),(8511,6),(8512,4),(8513,9),(8514,3),(8515,1),(8516,9),(8517,2),(8518,1),(8519,8),(8520,8),(8521,2),(8522,1),(8523,1),(8524,8),(8525,8),(8526,3),(8527,4),(8528,3),(8529,5),(8530,7),(8531,9),(8532,1),(8533,1),(8534,4),(8535,5),(8536,2),(8537,6),(8538,1),(8539,2),(8540,2),(8541,6),(8542,2),(8543,9),(8544,7),(8545,9),(8546,5),(8547,1),(8548,9),(8549,2),(8550,5),(8551,7),(8552,9),(8553,6),(8554,5),(8555,7),(8556,9),(8557,4),(8558,2),(8559,3),(8560,9),(8561,7),(8562,2),(8563,2),(8564,6),(8565,6),(8566,9),(8567,7),(8568,6),(8569,9),(8570,2),(8571,6),(8572,3),(8573,6),(8574,5),(8575,8),(8576,3),(8577,9),(8578,2),(8579,5),(8580,6),(8581,7),(8582,3),(8583,8),(8584,6),(8585,7),(8586,7),(8587,4),(8588,2),(8589,6),(8590,5),(8591,8),(8592,1),(8593,1),(8594,8),(8595,8),(8596,1),(8597,9),(8598,3),(8599,4),(8600,9),(8601,7),(8602,1),(8603,1),(8604,7),(8605,5),(8606,2),(8607,6),(8608,9),(8609,6),(8610,8),(8611,9),(8612,2),(8613,5),(8614,4),(8615,5),(8616,4),(8617,5),(8618,9),(8619,1),(8620,3),(8621,6),(8622,2),(8623,2),(8624,4),(8625,9),(8626,8),(8627,6),(8628,3),(8629,6),(8630,7),(8631,8),(8632,5),(8633,5),(8634,5),(8635,8),(8636,6),(8637,7),(8638,5),(8639,3),(8640,1),(8641,3),(8642,8),(8643,2),(8644,4),(8645,7),(8646,5),(8647,1),(8648,1),(8649,9),(8650,3),(8651,8),(8652,4),(8653,9),(8654,1),(8655,7),(8656,3),(8657,8),(8658,4),(8659,7),(8660,3),(8661,9),(8662,2),(8663,4),(8664,5),(8665,6),(8666,3),(8667,9),(8668,1),(8669,8),(8670,5),(8671,9),(8672,5),(8673,8),(8674,4),(8675,8),(8676,8),(8677,4),(8678,5),(8679,2),(8680,9),(8681,8),(8682,5),(8683,7),(8684,9),(8685,4),(8686,1),(8687,1),(8688,7),(8689,6),(8690,5),(8691,2),(8692,7),(8693,9),(8694,7),(8695,8),(8696,8),(8697,7),(8698,2),(8699,3),(8700,8),(8701,9),(8702,4),(8703,1),(8704,8),(8705,1),(8706,1),(8707,6),(8708,4),(8709,4),(8710,3),(8711,7),(8712,3),(8713,3),(8714,6),(8715,6),(8716,6),(8717,6),(8718,8),(8719,2),(8720,5),(8721,8),(8722,8),(8723,3),(8724,6),(8725,3),(8726,7),(8727,6),(8728,9),(8729,5),(8730,4),(8731,4),(8732,4),(8733,8),(8734,6),(8735,7),(8736,1),(8737,7),(8738,1),(8739,6),(8740,2),(8741,6),(8742,4),(8743,4),(8744,9),(8745,9),(8746,7),(8747,3),(8748,4),(8749,6),(8750,9),(8751,7),(8752,1),(8753,1),(8754,2),(8755,8),(8756,5),(8757,7),(8758,3),(8759,1),(8760,6),(8761,5),(8762,6),(8763,5),(8764,6),(8765,1),(8766,2),(8767,3),(8768,4),(8769,7),(8770,3),(8771,4),(8772,9),(8773,9),(8774,9),(8775,5),(8776,4),(8777,2),(8778,6),(8779,7),(8780,4),(8781,2),(8782,9),(8783,3),(8784,6),(8785,6),(8786,1),(8787,8),(8788,6),(8789,9),(8790,8),(8791,3),(8792,5),(8793,8),(8794,2),(8795,2),(8796,6),(8797,1),(8798,2),(8799,4),(8800,8),(8801,4),(8802,2),(8803,3),(8804,3),(8805,8),(8806,8),(8807,3),(8808,3),(8809,7),(8810,8),(8811,8),(8812,7),(8813,7),(8814,5),(8815,8),(8816,1),(8817,6),(8818,2),(8819,8),(8820,5),(8821,4),(8822,9),(8823,5),(8824,7),(8825,6),(8826,5),(8827,1),(8828,8),(8829,6),(8830,6),(8831,8),(8832,2),(8833,5),(8834,3),(8835,1),(8836,4),(8837,8),(8838,8),(8839,3),(8840,9),(8841,5),(8842,5),(8843,1),(8844,1),(8845,9),(8846,5),(8847,1),(8848,4),(8849,3),(8850,1),(8851,7),(8852,5),(8853,2),(8854,3),(8855,2),(8856,6),(8857,1),(8858,2),(8859,2),(8860,5),(8861,8),(8862,7),(8863,1),(8864,3),(8865,5),(8866,7),(8867,3),(8868,2),(8869,4),(8870,3),(8871,8),(8872,2),(8873,8),(8874,7),(8875,6),(8876,9),(8877,6),(8878,9),(8879,4),(8880,2),(8881,2),(8882,4),(8883,8),(8884,8),(8885,3),(8886,9),(8887,6),(8888,9),(8889,2),(8890,6),(8891,5),(8892,9),(8893,5),(8894,9),(8895,3),(8896,7),(8897,6),(8898,5),(8899,1),(8900,4),(8901,2),(8902,7),(8903,4),(8904,5),(8905,6),(8906,3),(8907,3),(8908,9),(8909,6),(8910,2),(8911,1),(8912,7),(8913,5),(8914,6),(8915,1),(8916,8),(8917,1),(8918,5),(8919,4),(8920,3),(8921,4),(8922,6),(8923,8),(8924,2),(8925,9),(8926,8),(8927,2),(8928,9),(8929,1),(8930,3),(8931,8),(8932,5),(8933,9),(8934,4),(8935,5),(8936,8),(8937,4),(8938,8),(8939,8),(8940,8),(8941,3),(8942,3),(8943,5),(8944,7),(8945,6),(8946,9),(8947,6),(8948,1),(8949,3),(8950,6),(8951,4),(8952,5),(8953,6),(8954,1),(8955,8),(8956,9),(8957,2),(8958,4),(8959,3),(8960,4),(8961,8),(8962,8),(8963,6),(8964,7),(8965,4),(8966,6),(8967,1),(8968,5),(8969,6),(8970,7),(8971,8),(8972,4),(8973,5),(8974,6),(8975,9),(8976,2),(8977,3),(8978,9),(8979,4),(8980,4),(8981,1),(8982,9),(8983,2),(8984,9),(8985,4),(8986,2),(8987,6),(8988,8),(8989,7),(8990,4),(8991,9),(8992,8),(8993,9),(8994,4),(8995,9),(8996,6),(8997,7),(8998,5),(8999,7),(9000,5),(9001,6),(9002,3),(9003,9),(9004,1),(9005,9),(9006,7),(9007,5),(9008,6),(9009,6),(9010,7),(9011,7),(9012,9),(9013,8),(9014,2),(9015,1),(9016,8),(9017,4),(9018,4),(9019,3),(9020,8),(9021,5),(9022,6),(9023,4),(9024,1),(9025,9),(9026,4),(9027,9),(9028,7),(9029,7),(9030,7),(9031,5),(9032,1),(9033,5),(9034,4),(9035,3),(9036,8),(9037,8),(9038,1),(9039,6),(9040,5),(9041,7),(9042,7),(9043,2),(9044,6),(9045,3),(9046,7),(9047,1),(9048,8),(9049,4),(9050,5),(9051,8),(9052,5),(9053,6),(9054,5),(9055,2),(9056,4),(9057,5),(9058,6),(9059,3),(9060,4),(9061,1),(9062,1),(9063,3),(9064,9),(9065,9),(9066,9),(9067,4),(9068,8),(9069,2),(9070,2),(9071,7),(9072,2),(9073,6),(9074,8),(9075,8),(9076,6),(9077,7),(9078,3),(9079,4),(9080,8),(9081,7),(9082,4),(9083,4),(9084,5),(9085,8),(9086,6),(9087,7),(9088,9),(9089,3),(9090,3),(9091,3),(9092,4),(9093,6),(9094,3),(9095,2),(9096,6),(9097,7),(9098,3),(9099,9),(9100,6),(9101,1),(9102,5),(9103,1),(9104,4),(9105,3),(9106,2),(9107,2),(9108,7),(9109,3),(9110,5),(9111,2),(9112,9),(9113,3),(9114,9),(9115,9),(9116,1),(9117,3),(9118,4),(9119,9),(9120,2),(9121,4),(9122,3),(9123,1),(9124,4),(9125,4),(9126,1),(9127,7),(9128,3),(9129,7),(9130,8),(9131,3),(9132,1),(9133,8),(9134,4),(9135,2),(9136,6),(9137,7),(9138,5),(9139,9),(9140,3),(9141,6),(9142,6),(9143,4),(9144,6),(9145,3),(9146,2),(9147,5),(9148,8),(9149,8),(9150,7),(9151,4),(9152,3),(9153,9),(9154,5),(9155,9),(9156,2),(9157,3),(9158,5),(9159,7),(9160,4),(9161,5),(9162,3),(9163,4),(9164,3),(9165,7),(9166,1),(9167,9),(9168,7),(9169,9),(9170,3),(9171,4),(9172,7),(9173,6),(9174,5),(9175,8),(9176,2),(9177,8),(9178,5),(9179,5),(9180,4),(9181,4),(9182,3),(9183,8),(9184,1),(9185,1),(9186,5),(9187,7),(9188,2),(9189,5),(9190,5),(9191,3),(9192,1),(9193,6),(9194,5),(9195,9),(9196,7),(9197,4),(9198,1),(9199,8),(9200,8),(9201,1),(9202,9),(9203,2),(9204,2),(9205,2),(9206,7),(9207,1),(9208,7),(9209,8),(9210,6),(9211,4),(9212,4),(9213,9),(9214,1),(9215,7),(9216,9),(9217,8),(9218,2),(9219,9),(9220,6),(9221,4),(9222,5),(9223,2),(9224,7),(9225,6),(9226,1),(9227,2),(9228,4),(9229,8),(9230,7),(9231,6),(9232,7),(9233,8),(9234,7),(9235,8),(9236,1),(9237,3),(9238,5),(9239,2),(9240,8),(9241,9),(9242,5),(9243,1),(9244,9),(9245,5),(9246,3),(9247,8),(9248,9),(9249,5),(9250,4),(9251,1),(9252,7),(9253,6),(9254,7),(9255,7),(9256,5),(9257,5),(9258,8),(9259,6),(9260,8),(9261,2),(9262,1),(9263,1),(9264,3),(9265,7),(9266,5),(9267,6),(9268,1),(9269,1),(9270,8),(9271,7),(9272,7),(9273,6),(9274,9),(9275,3),(9276,8),(9277,2),(9278,8),(9279,1),(9280,1),(9281,8),(9282,1),(9283,1),(9284,9),(9285,8),(9286,1),(9287,1),(9288,7),(9289,6),(9290,4),(9291,8),(9292,3),(9293,7),(9294,2),(9295,8),(9296,2),(9297,5),(9298,6),(9299,3),(9300,9),(9301,1),(9302,7),(9303,4),(9304,2),(9305,2),(9306,8),(9307,1),(9308,9),(9309,9),(9310,1),(9311,4),(9312,2),(9313,9),(9314,3),(9315,4),(9316,8),(9317,2),(9318,5),(9319,5),(9320,3),(9321,3),(9322,1),(9323,6),(9324,3),(9325,7),(9326,1),(9327,2),(9328,4),(9329,7),(9330,8),(9331,6),(9332,2),(9333,6),(9334,9),(9335,2),(9336,5),(9337,7),(9338,5),(9339,4),(9340,7),(9341,3),(9342,9),(9343,8),(9344,9),(9345,7),(9346,6),(9347,8),(9348,4),(9349,1),(9350,3),(9351,3),(9352,8),(9353,2),(9354,7),(9355,1),(9356,3),(9357,7),(9358,3),(9359,4),(9360,8),(9361,2),(9362,6),(9363,5),(9364,4),(9365,4),(9366,3),(9367,3),(9368,6),(9369,3),(9370,6),(9371,2),(9372,5),(9373,1),(9374,2),(9375,5),(9376,8),(9377,8),(9378,2),(9379,4),(9380,2),(9381,8),(9382,9),(9383,3),(9384,3),(9385,1),(9386,4),(9387,5),(9388,8),(9389,4),(9390,2),(9391,7),(9392,6),(9393,5),(9394,4),(9395,6),(9396,8),(9397,9),(9398,5),(9399,1),(9400,1),(9401,8),(9402,7),(9403,2),(9404,8),(9405,3),(9406,5),(9407,5),(9408,6),(9409,2),(9410,7),(9411,7),(9412,3),(9413,6),(9414,9),(9415,3),(9416,9),(9417,7),(9418,9),(9419,4),(9420,6),(9421,4),(9422,5),(9423,8),(9424,1),(9425,5),(9426,8),(9427,5),(9428,2),(9429,8),(9430,3),(9431,3),(9432,5),(9433,9),(9434,1),(9435,3),(9436,8),(9437,1),(9438,2),(9439,3),(9440,4),(9441,8),(9442,2),(9443,4),(9444,3),(9445,3),(9446,7),(9447,2),(9448,6),(9449,7),(9450,8),(9451,4),(9452,5),(9453,4),(9454,8),(9455,8),(9456,9),(9457,1),(9458,4),(9459,8),(9460,5),(9461,8),(9462,4),(9463,8),(9464,8),(9465,4),(9466,3),(9467,3),(9468,2),(9469,1),(9470,2),(9471,8),(9472,6),(9473,9),(9474,7),(9475,5),(9476,9),(9477,3),(9478,1),(9479,1),(9480,5),(9481,9),(9482,6),(9483,9),(9484,5),(9485,1),(9486,2),(9487,6),(9488,9),(9489,8),(9490,3),(9491,9),(9492,5),(9493,2),(9494,5),(9495,1),(9496,8),(9497,7),(9498,2),(9499,8),(9500,9),(9501,2),(9502,2),(9503,7),(9504,3),(9505,8),(9506,5),(9507,2),(9508,6),(9509,6),(9510,2),(9511,9),(9512,9),(9513,9),(9514,2),(9515,3),(9516,7),(9517,9),(9518,3),(9519,4),(9520,6),(9521,4),(9522,7),(9523,6),(9524,1),(9525,2),(9526,2),(9527,7),(9528,5),(9529,6),(9530,2),(9531,6),(9532,2),(9533,8),(9534,1),(9535,7),(9536,2),(9537,7),(9538,2),(9539,9),(9540,4),(9541,5),(9542,1),(9543,4),(9544,2),(9545,3),(9546,6),(9547,5),(9548,2),(9549,5),(9550,9),(9551,7),(9552,5),(9553,2),(9554,7),(9555,9),(9556,9),(9557,7),(9558,3),(9559,3),(9560,7),(9561,5),(9562,2),(9563,3),(9564,5),(9565,4),(9566,9),(9567,7),(9568,7),(9569,9),(9570,9),(9571,8),(9572,6),(9573,4),(9574,2),(9575,7),(9576,7),(9577,9),(9578,5),(9579,4),(9580,7),(9581,9),(9582,1),(9583,3),(9584,5),(9585,5),(9586,7),(9587,6),(9588,1),(9589,5),(9590,5),(9591,9),(9592,2),(9593,6),(9594,5),(9595,5),(9596,4),(9597,8),(9598,4),(9599,4),(9600,7),(9601,6),(9602,2),(9603,9),(9604,8),(9605,8),(9606,6),(9607,6),(9608,7),(9609,6),(9610,3),(9611,6),(9612,5),(9613,3),(9614,4),(9615,3),(9616,5),(9617,4),(9618,2),(9619,5),(9620,9),(9621,8),(9622,2),(9623,3),(9624,8),(9625,5),(9626,2),(9627,9),(9628,7),(9629,1),(9630,7),(9631,1),(9632,1),(9633,3),(9634,2),(9635,2),(9636,5),(9637,5),(9638,4),(9639,9),(9640,7),(9641,1),(9642,8),(9643,3),(9644,5),(9645,2),(9646,9),(9647,4),(9648,8),(9649,9),(9650,4),(9651,1),(9652,9),(9653,3),(9654,2),(9655,9),(9656,2),(9657,1),(9658,4),(9659,8),(9660,3),(9661,7),(9662,1),(9663,9),(9664,7),(9665,8),(9666,2),(9667,3),(9668,4),(9669,6),(9670,7),(9671,4),(9672,7),(9673,9),(9674,1),(9675,1),(9676,6),(9677,6),(9678,7),(9679,4),(9680,1),(9681,9),(9682,4),(9683,7),(9684,8),(9685,4),(9686,4),(9687,3),(9688,1),(9689,3),(9690,6),(9691,8),(9692,4),(9693,6),(9694,6),(9695,6),(9696,9),(9697,4),(9698,7),(9699,6),(9700,8),(9701,7),(9702,3),(9703,3),(9704,5),(9705,7),(9706,9),(9707,9),(9708,4),(9709,1),(9710,6),(9711,6),(9712,7),(9713,8),(9714,7),(9715,7),(9716,6),(9717,9),(9718,3),(9719,9),(9720,1),(9721,7),(9722,2),(9723,8),(9724,2),(9725,1),(9726,7),(9727,4),(9728,8),(9729,4),(9730,4),(9731,4),(9732,4),(9733,5),(9734,2),(9735,7),(9736,2),(9737,9),(9738,8),(9739,6),(9740,8),(9741,2),(9742,2),(9743,6),(9744,6),(9745,5),(9746,2),(9747,1),(9748,7),(9749,7),(9750,8),(9751,4),(9752,4),(9753,1),(9754,2),(9755,1),(9756,2),(9757,4),(9758,5),(9759,3),(9760,5),(9761,8),(9762,4),(9763,1),(9764,4),(9765,3),(9766,3),(9767,9),(9768,9),(9769,7),(9770,5),(9771,3),(9772,2),(9773,4),(9774,3),(9775,2),(9776,8),(9777,1),(9778,1),(9779,9),(9780,3),(9781,1),(9782,2),(9783,6),(9784,2),(9785,7),(9786,4),(9787,2),(9788,6),(9789,2),(9790,6),(9791,2),(9792,6),(9793,7),(9794,9),(9795,2),(9796,4),(9797,9),(9798,5),(9799,6),(9800,7),(9801,9),(9802,5),(9803,3),(9804,8),(9805,9),(9806,3),(9807,5),(9808,5),(9809,7),(9810,8),(9811,3),(9812,8),(9813,6),(9814,7),(9815,1),(9816,6),(9817,7),(9818,7),(9819,8),(9820,6),(9821,1),(9822,1),(9823,3),(9824,4),(9825,5),(9826,9),(9827,8),(9828,3),(9829,6),(9830,5),(9831,2),(9832,3),(9833,1),(9834,1),(9835,3),(9836,4),(9837,6),(9838,2),(9839,1),(9840,3),(9841,6),(9842,6),(9843,9),(9844,1),(9845,5),(9846,1),(9847,8),(9848,8),(9849,9),(9850,3),(9851,2),(9852,3),(9853,8),(9854,7),(9855,4),(9856,9),(9857,4),(9858,6),(9859,7),(9860,3),(9861,6),(9862,8),(9863,5),(9864,8),(9865,2),(9866,7),(9867,3),(9868,8),(9869,2),(9870,7),(9871,4),(9872,1),(9873,6),(9874,9),(9875,8),(9876,4),(9877,4),(9878,8),(9879,7),(9880,8),(9881,8),(9882,3),(9883,2),(9884,2),(9885,8),(9886,7),(9887,9),(9888,7),(9889,6),(9890,5),(9891,1),(9892,9),(9893,5),(9894,1),(9895,5),(9896,2),(9897,1),(9898,6),(9899,9),(9900,6),(9901,2),(9902,2),(9903,7),(9904,1),(9905,3),(9906,8),(9907,1),(9908,9),(9909,8),(9910,6),(9911,3),(9912,9),(9913,7),(9914,6),(9915,3),(9916,6),(9917,1),(9918,7),(9919,8),(9920,4),(9921,2),(9922,3),(9923,7),(9924,2),(9925,2),(9926,6),(9927,7),(9928,7),(9929,4),(9930,4),(9931,9),(9932,7),(9933,4),(9934,8),(9935,7),(9936,9),(9937,8),(9938,1),(9939,1),(9940,8),(9941,4),(9942,8),(9943,4),(9944,4),(9945,9),(9946,7),(9947,5),(9948,7),(9949,7),(9950,4),(9951,4),(9952,4),(9953,4),(9954,7),(9955,7),(9956,8),(9957,6),(9958,1),(9959,7),(9960,5),(9961,7),(9962,7),(9963,1),(9964,2),(9965,3),(9966,2),(9967,1),(9968,8),(9969,8),(9970,2),(9971,4),(9972,8),(9973,1),(9974,3),(9975,3),(9976,3),(9977,6),(9978,6),(9979,6),(9980,5),(9981,3),(9982,8),(9983,8),(9984,4),(9985,9),(9986,2),(9987,5),(9988,1),(9989,5),(9990,6),(9991,9),(9992,8),(9993,9),(9994,7),(9995,8),(9996,6),(9997,6),(9998,4),(9999,8),(10000,2),(10001,8),(10002,9),(10003,4),(10004,6),(10005,2),(10006,5),(10007,2),(10008,6),(10009,4),(10010,2),(10011,6),(10012,8),(10013,4),(10014,4),(10015,4),(10016,1),(10017,6),(10018,4),(10019,6),(10020,7),(10021,8),(10022,7),(10023,4),(10024,1),(10025,3),(10026,4),(10027,9),(10028,9),(10029,3),(10030,7),(10031,3),(10032,4),(10033,7),(10034,1),(10035,8),(10036,5),(10037,7),(10038,2),(10039,8),(10040,5),(10041,8),(10042,6),(10043,2),(10044,5),(10045,6),(10046,9),(10047,4),(10048,5),(10049,3),(10050,1),(10051,6),(10052,3),(10053,2),(10054,5),(10055,8),(10056,6),(10057,5),(10058,1),(10059,5),(10060,3),(10061,7),(10062,2),(10063,7),(10064,2),(10065,3),(10066,6),(10067,3),(10068,8),(10069,3),(10070,8),(10071,1),(10072,1),(10073,8),(10074,4),(10075,6),(10076,3),(10077,7),(10078,5),(10079,2),(10080,4),(10081,9),(10082,2),(10083,8),(10084,1),(10085,5),(10086,7),(10087,7),(10088,1),(10089,7),(10090,4),(10091,6),(10092,7),(10093,8),(10094,9),(10095,6),(10096,5),(10097,7),(10098,4),(10099,1),(10100,7),(10101,8),(10102,8),(10103,5),(10104,1),(10105,7),(10106,6),(10107,8),(10108,4),(10109,1),(10110,2),(10111,3),(10112,6),(10113,7),(10114,6),(10115,1),(10116,5),(10117,2),(10118,9),(10119,4),(10120,4),(10121,6),(10122,2),(10123,5),(10124,8),(10125,9),(10126,7),(10127,7),(10128,1),(10129,1),(10130,9),(10131,7),(10132,7),(10133,6),(10134,9),(10135,1),(10136,9),(10137,2),(10138,9),(10139,6),(10140,4),(10141,1),(10142,9),(10143,4),(10144,5),(10145,6),(10146,5),(10147,4),(10148,2),(10149,6),(10150,2),(10151,9),(10152,7),(10153,5),(10154,2),(10155,5),(10156,5),(10157,1),(10158,8),(10159,3),(10160,3),(10161,8),(10162,6),(10163,7),(10164,6),(10165,5),(10166,6),(10167,2),(10168,4),(10169,2),(10170,3),(10171,8),(10172,8),(10173,5),(10174,9),(10175,9),(10176,7),(10177,2),(10178,3),(10179,5),(10180,3),(10181,5),(10182,4),(10183,7),(10184,4),(10185,7),(10186,6),(10187,2),(10188,5),(10189,9),(10190,7),(10191,1),(10192,8),(10193,5),(10194,2),(10195,6),(10196,5),(10197,8),(10198,9),(10199,9),(10200,8),(10201,5),(10202,3),(10203,4),(10204,4),(10205,8),(10206,9),(10207,8),(10208,1),(10209,2),(10210,7),(10211,9),(10212,6),(10213,8),(10214,8),(10215,2),(10216,2),(10217,3),(10218,3),(10219,6),(10220,6),(10221,9),(10222,8),(10223,1),(10224,6),(10225,8),(10226,3),(10227,5),(10228,8),(10229,8),(10230,4),(10231,6),(10232,9),(10233,5),(10234,4),(10235,5),(10236,8),(10237,2),(10238,6),(10239,4),(10240,8),(10241,2),(10242,1),(10243,3),(10244,7),(10245,3),(10246,9),(10247,9),(10248,3),(10249,8),(10250,2),(10251,3),(10252,5),(10253,7),(10254,1),(10255,5),(10256,2),(10257,7),(10258,9),(10259,3),(10260,7),(10261,5),(10262,8),(10263,4),(10264,6),(10265,5),(10266,7),(10267,3),(10268,7),(10269,2),(10270,1),(10271,9),(10272,9),(10273,9),(10274,8),(10275,3),(10276,8),(10277,2),(10278,4),(10279,7),(10280,2),(10281,8),(10282,5),(10283,5),(10284,6),(10285,9),(10286,2),(10287,3),(10288,7),(10289,4),(10290,3),(10291,7),(10292,8),(10293,8),(10294,9),(10295,7),(10296,4),(10297,7),(10298,8),(10299,2),(10300,8),(10301,6),(10302,8),(10303,2),(10304,6),(10305,1),(10306,6),(10307,3),(10308,6),(10309,7),(10310,7),(10311,8),(10312,6),(10313,7),(10314,9),(10315,8),(10316,2),(10317,7),(10318,2),(10319,2),(10320,9),(10321,2),(10322,8),(10323,5),(10324,9),(10325,3),(10326,9),(10327,1),(10328,7),(10329,9),(10330,9),(10331,3),(10332,6),(10333,2),(10334,8),(10335,9),(10336,9),(10337,2),(10338,2),(10339,1),(10340,1),(10341,4),(10342,4),(10343,6),(10344,6),(10345,7),(10346,5),(10347,1),(10348,6),(10349,2),(10350,3),(10351,5),(10352,8),(10353,9),(10354,6),(10355,8),(10356,4),(10357,9),(10358,1),(10359,1),(10360,9),(10361,1),(10362,4),(10363,9),(10364,7),(10365,1),(10366,3),(10367,9),(10368,3),(10369,9),(10370,6),(10371,9),(10372,7),(10373,6),(10374,4),(10375,8),(10376,3),(10377,2),(10378,5),(10379,3),(10380,7),(10381,6),(10382,8),(10383,3),(10384,2),(10385,4),(10386,5),(10387,9),(10388,6),(10389,3),(10390,3),(10391,6),(10392,6),(10393,7),(10394,5),(10395,9),(10396,2),(10397,8),(10398,2),(10399,3),(10400,4),(10401,2),(10402,2),(10403,9),(10404,1),(10405,2),(10406,5),(10407,2),(10408,1),(10409,1),(10410,3),(10411,7),(10412,8),(10413,5),(10414,8),(10415,4),(10416,9),(10417,6),(10418,1),(10419,7),(10420,1),(10421,1),(10422,4),(10423,8),(10424,1),(10425,7),(10426,7),(10427,2),(10428,8),(10429,5),(10430,6),(10431,9),(10432,5),(10433,9),(10434,6),(10435,3),(10436,7),(10437,1),(10438,9),(10439,3),(10440,8),(10441,6),(10442,6),(10443,8),(10444,1),(10445,8),(10446,6),(10447,6),(10448,3),(10449,8),(10450,8),(10451,7),(10452,9),(10453,9),(10454,2),(10455,1),(10456,2),(10457,2),(10458,8),(10459,3),(10460,8),(10461,3),(10462,2),(10463,8),(10464,4),(10465,1),(10466,5),(10467,2),(10468,6),(10469,1),(10470,5),(10471,3),(10472,2),(10473,6),(10474,1),(10475,3),(10476,3),(10477,8),(10478,1),(10479,5),(10480,1),(10481,3),(10482,9),(10483,7),(10484,5),(10485,9),(10486,5),(10487,7),(10488,5),(10489,4),(10490,5),(10491,6),(10492,5),(10493,4),(10494,8),(10495,8),(10496,5),(10497,2),(10498,4),(10499,4),(10500,9),(10501,8),(10502,5),(10503,6),(10504,7),(10505,9),(10506,8),(10507,2),(10508,8),(10509,1),(10510,4),(10511,7),(10512,7),(10513,5),(10514,7),(10515,9),(10516,5),(10517,3),(10518,6),(10519,6),(10520,1),(10521,4),(10522,4),(10523,5),(10524,1),(10525,8),(10526,3),(10527,4),(10528,7),(10529,8),(10530,2),(10531,9),(10532,8),(10533,4),(10534,5),(10535,3),(10536,8),(10537,8),(10538,7),(10539,2),(10540,7),(10541,3),(10542,5),(10543,5),(10544,4),(10545,3),(10546,6),(10547,8),(10548,2),(10549,3),(10550,8),(10551,2),(10552,8),(10553,8),(10554,1),(10555,1),(10556,1),(10557,6),(10558,6),(10559,3),(10560,5),(10561,1),(10562,6),(10563,2),(10564,5),(10565,6),(10566,9),(10567,6),(10568,8),(10569,5),(10570,9),(10571,6),(10572,9),(10573,6),(10574,1),(10575,1),(10576,8),(10577,6),(10578,5),(10579,7),(10580,6),(10581,6),(10582,7),(10583,5),(10584,2),(10585,4),(10586,6),(10587,7),(10588,7),(10589,8),(10590,6),(10591,8),(10592,7),(10593,7),(10594,9),(10595,2),(10596,6),(10597,3),(10598,1),(10599,7),(10600,8),(10601,2),(10602,6),(10603,4),(10604,7),(10605,9),(10606,8),(10607,3),(10608,6),(10609,2),(10610,5),(10611,3),(10612,8),(10613,9),(10614,6),(10615,6),(10616,1),(10617,8),(10618,6),(10619,1),(10620,8),(10621,5),(10622,8),(10623,3),(10624,5),(10625,6),(10626,4),(10627,1),(10628,3),(10629,4),(10630,6),(10631,9),(10632,6),(10633,8),(10634,4),(10635,6),(10636,6),(10637,6),(10638,8),(10639,3),(10640,3),(10641,5),(10642,7),(10643,1),(10644,9),(10645,3),(10646,4),(10647,1),(10648,3),(10649,7),(10650,1),(10651,7),(10652,2),(10653,1),(10654,6),(10655,5),(10656,4),(10657,4),(10658,2),(10659,4),(10660,8),(10661,9),(10662,9),(10663,6),(10664,3),(10665,6),(10666,3),(10667,9),(10668,2),(10669,4),(10670,7),(10671,2),(10672,3),(10673,7),(10674,5),(10675,1),(10676,3),(10677,9),(10678,5),(10679,9),(10680,1),(10681,6),(10682,2),(10683,2),(10684,9),(10685,6),(10686,9),(10687,5),(10688,4),(10689,4),(10690,9),(10691,3),(10692,2),(10693,3),(10694,5),(10695,2),(10696,3),(10697,7),(10698,1),(10699,6),(10700,1),(10701,4),(10702,4),(10703,9),(10704,5),(10705,4),(10706,4),(10707,8),(10708,4),(10709,8),(10710,4),(10711,6),(10712,3),(10713,3),(10714,2),(10715,1),(10716,1),(10717,7),(10718,9),(10719,1),(10720,3),(10721,8),(10722,9),(10723,1),(10724,3),(10725,8),(10726,5),(10727,8),(10728,4),(10729,4),(10730,5),(10731,7),(10732,7),(10733,4),(10734,8),(10735,2),(10736,2),(10737,1),(10738,3),(10739,5),(10740,3),(10741,4),(10742,1),(10743,8),(10744,6),(10745,4),(10746,9),(10747,7),(10748,1),(10749,4),(10750,3),(10751,1),(10752,2),(10753,2),(10754,9),(10755,9),(10756,5),(10757,3),(10758,7),(10759,1),(10760,9),(10761,5),(10762,3),(10763,8),(10764,6),(10765,2),(10766,4),(10767,9),(10768,2),(10769,7),(10770,3),(10771,8),(10772,6),(10773,6),(10774,4),(10775,9),(10776,4),(10777,5),(10778,5),(10779,6),(10780,7),(10781,7),(10782,3),(10783,8),(10784,7),(10785,3),(10786,9),(10787,1),(10788,3),(10789,8),(10790,8),(10791,1),(10792,5),(10793,9),(10794,9),(10795,7),(10796,4),(10797,2),(10798,5),(10799,6),(10800,9),(10801,3),(10802,1),(10803,2),(10804,4),(10805,9),(10806,1),(10807,8),(10808,6),(10809,1),(10810,5),(10811,3),(10812,1),(10813,6),(10814,3),(10815,2),(10816,3),(10817,4),(10818,4),(10819,5),(10820,6),(10821,4),(10822,2),(10823,7),(10824,5),(10825,1),(10826,3),(10827,2),(10828,5),(10829,4),(10830,8),(10831,2),(10832,2),(10833,3),(10834,1),(10835,9),(10836,7),(10837,9),(10838,7),(10839,8),(10840,6),(10841,7),(10842,9),(10843,4),(10844,7),(10845,7),(10846,7),(10847,6),(10848,5),(10849,8),(10850,6),(10851,4),(10852,4),(10853,2),(10854,1),(10855,9),(10856,3),(10857,1),(10858,2),(10859,3),(10860,4),(10861,1),(10862,3),(10863,5),(10864,9),(10865,6),(10866,9),(10867,1),(10868,2),(10869,5),(10870,7),(10871,5),(10872,2),(10873,2),(10874,3),(10875,3),(10876,7),(10877,4),(10878,4),(10879,9),(10880,3),(10881,2),(10882,9),(10883,6),(10884,8),(10885,9),(10886,4),(10887,4),(10888,3),(10889,6),(10890,6),(10891,4),(10892,2),(10893,6),(10894,4),(10895,2),(10896,9),(10897,8),(10898,8),(10899,6),(10900,7),(10901,3),(10902,1),(10903,5),(10904,2),(10905,5),(10906,5),(10907,8),(10908,4),(10909,2),(10910,9),(10911,5),(10912,7),(10913,3),(10914,2),(10915,4),(10916,5),(10917,8),(10918,8),(10919,6),(10920,9),(10921,4),(10922,9),(10923,7),(10924,1),(10925,4),(10926,6),(10927,5),(10928,4),(10929,5),(10930,6),(10931,7),(10932,2),(10933,6),(10934,8),(10935,1),(10936,4),(10937,1),(10938,6),(10939,1),(10940,5),(10941,7),(10942,4),(10943,3),(10944,1),(10945,6),(10946,4),(10947,1),(10948,8),(10949,2),(10950,8),(10951,1),(10952,9),(10953,6),(10954,1),(10955,3),(10956,8),(10957,1),(10958,7),(10959,4),(10960,4),(10961,7),(10962,5),(10963,9),(10964,5),(10965,6),(10966,8),(10967,1),(10968,4),(10969,1),(10970,8),(10971,9),(10972,9),(10973,3),(10974,2),(10975,3),(10976,1),(10977,3),(10978,3),(10979,9),(10980,3),(10981,3),(10982,6),(10983,5),(10984,8),(10985,3),(10986,8),(10987,6),(10988,3),(10989,8),(10990,6),(10991,8),(10992,1),(10993,7),(10994,5),(10995,1),(10996,9),(10997,1),(10998,5),(10999,8),(11000,1),(11001,6),(11002,7),(11003,8),(11004,7),(11005,5),(11006,6),(11007,1),(11008,1),(11009,5),(11010,1),(11011,9),(11012,2),(11013,5),(11014,9),(11015,8),(11016,6),(11017,2),(11018,4),(11019,5),(11020,3),(11021,4),(11022,7),(11023,7),(11024,5),(11025,7),(11026,5),(11027,5),(11028,7),(11029,7),(11030,8),(11031,1),(11032,4),(11033,7),(11034,5),(11035,2),(11036,5),(11037,9),(11038,3),(11039,1),(11040,3),(11041,2),(11042,5),(11043,6),(11044,6),(11045,7),(11046,1),(11047,6),(11048,8),(11049,2),(11050,5),(11051,2),(11052,6),(11053,9),(11054,6),(11055,3),(11056,2),(11057,2),(11058,2),(11059,5),(11060,2),(11061,4),(11062,4),(11063,6),(11064,5),(11065,5),(11066,6),(11067,9),(11068,2),(11069,5),(11070,2),(11071,5),(11072,2),(11073,9),(11074,6),(11075,4),(11076,2),(11077,2),(11078,9),(11079,3),(11080,6),(11081,6),(11082,9),(11083,7),(11084,2),(11085,7),(11086,7),(11087,4),(11088,7),(11089,6),(11090,3),(11091,8),(11092,8),(11093,2),(11094,1),(11095,9),(11096,1),(11097,3),(11098,2),(11099,1),(11100,6),(11101,5),(11102,4),(11103,4),(11104,8),(11105,4),(11106,9),(11107,3),(11108,3),(11109,9),(11110,3),(11111,2),(11112,3),(11113,7),(11114,8),(11115,7),(11116,9),(11117,4),(11118,2),(11119,7),(11120,1),(11121,2),(11122,8),(11123,4),(11124,6),(11125,7),(11126,5),(11127,2),(11128,4),(11129,9),(11130,5),(11131,1),(11132,5),(11133,6),(11134,9),(11135,5),(11136,6),(11137,7),(11138,8),(11139,7),(11140,7),(11141,3),(11142,6),(11143,1),(11144,3),(11145,6),(11146,4),(11147,4),(11148,2),(11149,7),(11150,2),(11151,5),(11152,5),(11153,7),(11154,2),(11155,9),(11156,3),(11157,9),(11158,3),(11159,2),(11160,1),(11161,9),(11162,3),(11163,7),(11164,1),(11165,6),(11166,5),(11167,6),(11168,5),(11169,6),(11170,7),(11171,5),(11172,1),(11173,4),(11174,8),(11175,4),(11176,5),(11177,5),(11178,9),(11179,1),(11180,6),(11181,5),(11182,7),(11183,3),(11184,1),(11185,5),(11186,4),(11187,6),(11188,5),(11189,1),(11190,2),(11191,4),(11192,8),(11193,7),(11194,1),(11195,2),(11196,8),(11197,3),(11198,4),(11199,1),(11200,8),(11201,8),(11202,6),(11203,8),(11204,1),(11205,5),(11206,2),(11207,4),(11208,6),(11209,4),(11210,3),(11211,7),(11212,4),(11213,3),(11214,9),(11215,8),(11216,8),(11217,1),(11218,1),(11219,2),(11220,1),(11221,6),(11222,4),(11223,3),(11224,1),(11225,8),(11226,3),(11227,9),(11228,1),(11229,9),(11230,1),(11231,6),(11232,1),(11233,2),(11234,9),(11235,6),(11236,7),(11237,6),(11238,2),(11239,2),(11240,6),(11241,4),(11242,7),(11243,8),(11244,7),(11245,9),(11246,6),(11247,8),(11248,3),(11249,8),(11250,4),(11251,6),(11252,8),(11253,9),(11254,6),(11255,3),(11256,2),(11257,4),(11258,8),(11259,7),(11260,7),(11261,2),(11262,3),(11263,6),(11264,8),(11265,8),(11266,5),(11267,6),(11268,1),(11269,4),(11270,3),(11271,7),(11272,6),(11273,6),(11274,6),(11275,5),(11276,7),(11277,9),(11278,9),(11279,7),(11280,4),(11281,1),(11282,5),(11283,9),(11284,6),(11285,5),(11286,7),(11287,1),(11288,5),(11289,7),(11290,8),(11291,3),(11292,9),(11293,6),(11294,3),(11295,5),(11296,6),(11297,8),(11298,3),(11299,2),(11300,5),(11301,5),(11302,5),(11303,9),(11304,3),(11305,2),(11306,9),(11307,7),(11308,9),(11309,2),(11310,4),(11311,3),(11312,7),(11313,2),(11314,1),(11315,3),(11316,1),(11317,9),(11318,8),(11319,1),(11320,5),(11321,5),(11322,7),(11323,2),(11324,9),(11325,1),(11326,8),(11327,4),(11328,1),(11329,8),(11330,3),(11331,9),(11332,2),(11333,5),(11334,3),(11335,2),(11336,3),(11337,6),(11338,6),(11339,4),(11340,6),(11341,4),(11342,2),(11343,8),(11344,7),(11345,1),(11346,1),(11347,5),(11348,5),(11349,4),(11350,7),(11351,5),(11352,6),(11353,5),(11354,9),(11355,4),(11356,5),(11357,4),(11358,2),(11359,1),(11360,9),(11361,9),(11362,2),(11363,5),(11364,9),(11365,1),(11366,3),(11367,4),(11368,3),(11369,1),(11370,5),(11371,5),(11372,5),(11373,7),(11374,6),(11375,5),(11376,6),(11377,4),(11378,6),(11379,7),(11380,6),(11381,4),(11382,6),(11383,7),(11384,9),(11385,4),(11386,5),(11387,4),(11388,7),(11389,7),(11390,2),(11391,6),(11392,9),(11393,3),(11394,9),(11395,2),(11396,7),(11397,6),(11398,5),(11399,6),(11400,5),(11401,5),(11402,2),(11403,4),(11404,3),(11405,7),(11406,5),(11407,9),(11408,3),(11409,1),(11410,6),(11411,5),(11412,4),(11413,7),(11414,9),(11415,4),(11416,2),(11417,1),(11418,2),(11419,3),(11420,7),(11421,2),(11422,2),(11423,5),(11424,6),(11425,9),(11426,8),(11427,2),(11428,9),(11429,9),(11430,4),(11431,3),(11432,2),(11433,7),(11434,9),(11435,2),(11436,4),(11437,4),(11438,7),(11439,3),(11440,9),(11441,9),(11442,2),(11443,5),(11444,8),(11445,6),(11446,3),(11447,3),(11448,1),(11449,9),(11450,7),(11451,1),(11452,3),(11453,8),(11454,6),(11455,1),(11456,4),(11457,6),(11458,7),(11459,9),(11460,7),(11461,8),(11462,6),(11463,5),(11464,4),(11465,3),(11466,3),(11467,9),(11468,3),(11469,3),(11470,6),(11471,1),(11472,2),(11473,4),(11474,8),(11475,2),(11476,2),(11477,5),(11478,1),(11479,6),(11480,8),(11481,1),(11482,5),(11483,6),(11484,6),(11485,3),(11486,8),(11487,1),(11488,5),(11489,7),(11490,7),(11491,7),(11492,6),(11493,3),(11494,8),(11495,7),(11496,4),(11497,9),(11498,7),(11499,6),(11500,5),(11501,6),(11502,6),(11503,8),(11504,9),(11505,4),(11506,6),(11507,3),(11508,1),(11509,8),(11510,5),(11511,7),(11512,1),(11513,1),(11514,3),(11515,1),(11516,3),(11517,7),(11518,1),(11519,1),(11520,4),(11521,3),(11522,5),(11523,2),(11524,1),(11525,9),(11526,9),(11527,5),(11528,2),(11529,2),(11530,7),(11531,3),(11532,9),(11533,1),(11534,5),(11535,6),(11536,8),(11537,9),(11538,1),(11539,3),(11540,5),(11541,8),(11542,3),(11543,6),(11544,7),(11545,9),(11546,5),(11547,7),(11548,4),(11549,3),(11550,3),(11551,2),(11552,8),(11553,5),(11554,8),(11555,9),(11556,1),(11557,3),(11558,6),(11559,6),(11560,4),(11561,7),(11562,7),(11563,7),(11564,8),(11565,8),(11566,1),(11567,1),(11568,7),(11569,9),(11570,9),(11571,1),(11572,9),(11573,4),(11574,4),(11575,8),(11576,6),(11577,1),(11578,9),(11579,7),(11580,3),(11581,4),(11582,7),(11583,5),(11584,2),(11585,3),(11586,2),(11587,7),(11588,3),(11589,4),(11590,1),(11591,7),(11592,6),(11593,9),(11594,5),(11595,4),(11596,3),(11597,7),(11598,6),(11599,4),(11600,3),(11601,8),(11602,3),(11603,6),(11604,1),(11605,8),(11606,4),(11607,2),(11608,4),(11609,9),(11610,8),(11611,7),(11612,7),(11613,7),(11614,9),(11615,6),(11616,2),(11617,8),(11618,7),(11619,8),(11620,3),(11621,7),(11622,1),(11623,7),(11624,8),(11625,3),(11626,7),(11627,7),(11628,6),(11629,3),(11630,7),(11631,5),(11632,1),(11633,1),(11634,1),(11635,2),(11636,7),(11637,6),(11638,5),(11639,3),(11640,1),(11641,9),(11642,5),(11643,7),(11644,4),(11645,9),(11646,2),(11647,8),(11648,9),(11649,7),(11650,8),(11651,9),(11652,4),(11653,2),(11654,7),(11655,4),(11656,7),(11657,2),(11658,3),(11659,2),(11660,1),(11661,8),(11662,2),(11663,6),(11664,8),(11665,7),(11666,8),(11667,7),(11668,6),(11669,7),(11670,6),(11671,1),(11672,8),(11673,3),(11674,4),(11675,4),(11676,1),(11677,2),(11678,7),(11679,2),(11680,9),(11681,1),(11682,7),(11683,9),(11684,5),(11685,6),(11686,3),(11687,1),(11688,8),(11689,8),(11690,4),(11691,7),(11692,2),(11693,3),(11694,1),(11695,6),(11696,4),(11697,5),(11698,7),(11699,7),(11700,8),(11701,5),(11702,5),(11703,8),(11704,6),(11705,5),(11706,7),(11707,8),(11708,8),(11709,9),(11710,3),(11711,9),(11712,2),(11713,9),(11714,5),(11715,4),(11716,1),(11717,4),(11718,5),(11719,8),(11720,2),(11721,6),(11722,1),(11723,1),(11724,4),(11725,5),(11726,8),(11727,9),(11728,8),(11729,2),(11730,2),(11731,8),(11732,6),(11733,3),(11734,3),(11735,3),(11736,5),(11737,5),(11738,7),(11739,7),(11740,4),(11741,1),(11742,3),(11743,6),(11744,8),(11745,7),(11746,8),(11747,9),(11748,2),(11749,8),(11750,7),(11751,4),(11752,5),(11753,6),(11754,9),(11755,2),(11756,6),(11757,2),(11758,3),(11759,8),(11760,6),(11761,6),(11762,7),(11763,9),(11764,4),(11765,1),(11766,4),(11767,6),(11768,8),(11769,1),(11770,6),(11771,5),(11772,7),(11773,4),(11774,3),(11775,8),(11776,2),(11777,5),(11778,3),(11779,2),(11780,9),(11781,6),(11782,8),(11783,7),(11784,3),(11785,3),(11786,9),(11787,2),(11788,6),(11789,8),(11790,9),(11791,1),(11792,2),(11793,9),(11794,4),(11795,3),(11796,8),(11797,9),(11798,6),(11799,1),(11800,2),(11801,5),(11802,3),(11803,6),(11804,4),(11805,1),(11806,9),(11807,1),(11808,7),(11809,9),(11810,6),(11811,7),(11812,9),(11813,7),(11814,2),(11815,5),(11816,3),(11817,1),(11818,4),(11819,6),(11820,9),(11821,8),(11822,6),(11823,8),(11824,2),(11825,9),(11826,2),(11827,4),(11828,9),(11829,1),(11830,6),(11831,3),(11832,8),(11833,6),(11834,8),(11835,9),(11836,4),(11837,2),(11838,3),(11839,8),(11840,7),(11841,1),(11842,2),(11843,1),(11844,5),(11845,1),(11846,1),(11847,7),(11848,2),(11849,4),(11850,6),(11851,5),(11852,2),(11853,7),(11854,3),(11855,6),(11856,2),(11857,1),(11858,6),(11859,6),(11860,3),(11861,1),(11862,7),(11863,5),(11864,3),(11865,8),(11866,8),(11867,2),(11868,6),(11869,2),(11870,9),(11871,8),(11872,7),(11873,1),(11874,7),(11875,5),(11876,7),(11877,9),(11878,6),(11879,6),(11880,3),(11881,1),(11882,4),(11883,7),(11884,7),(11885,7),(11886,5),(11887,7),(11888,5),(11889,7),(11890,8),(11891,1),(11892,6),(11893,2),(11894,8),(11895,1),(11896,9),(11897,8),(11898,6),(11899,2),(11900,1),(11901,9),(11902,1),(11903,8),(11904,3),(11905,8),(11906,3),(11907,9),(11908,1),(11909,3),(11910,7),(11911,5),(11912,2),(11913,7),(11914,5),(11915,9),(11916,6),(11917,2),(11918,7),(11919,2),(11920,4),(11921,5),(11922,6),(11923,3),(11924,4),(11925,9),(11926,4),(11927,1),(11928,1),(11929,1),(11930,2),(11931,3),(11932,5),(11933,5),(11934,5),(11935,2),(11936,3),(11937,9),(11938,3),(11939,8),(11940,1),(11941,5),(11942,2),(11943,5),(11944,9),(11945,9),(11946,6),(11947,1),(11948,8),(11949,4),(11950,4),(11951,3),(11952,6),(11953,2),(11954,3),(11955,9),(11956,5),(11957,3),(11958,2),(11959,6),(11960,8),(11961,8),(11962,7),(11963,3),(11964,7),(11965,1),(11966,3),(11967,1),(11968,5),(11969,3),(11970,5),(11971,2),(11972,1),(11973,4),(11974,5),(11975,3),(11976,8),(11977,1),(11978,7),(11979,6),(11980,5),(11981,7),(11982,5),(11983,4),(11984,7),(11985,6),(11986,5),(11987,7),(11988,7),(11989,5),(11990,4),(11991,7),(11992,9),(11993,6),(11994,5),(11995,4),(11996,4),(11997,8),(11998,5),(11999,6),(12000,2),(12001,5),(12002,3),(12003,5),(12004,3),(12005,9),(12006,1),(12007,6),(12008,6),(12009,6),(12010,8),(12011,8),(12012,7),(12013,3),(12014,6),(12015,4),(12016,3),(12017,6),(12018,2),(12019,2),(12020,6),(12021,1),(12022,4),(12023,1),(12024,3),(12025,8),(12026,8),(12027,5),(12028,9),(12029,7),(12030,4),(12031,2),(12032,4),(12033,6),(12034,8),(12035,1),(12036,5),(12037,5),(12038,5),(12039,7),(12040,5),(12041,9),(12042,3),(12043,4),(12044,1),(12045,5),(12046,8),(12047,3),(12048,9),(12049,9),(12050,1),(12051,8),(12052,1),(12053,9),(12054,4),(12055,8),(12056,8),(12057,8),(12058,3),(12059,3),(12060,1),(12061,8),(12062,3),(12063,7),(12064,7),(12065,1),(12066,7),(12067,4),(12068,7),(12069,7),(12070,9),(12071,6),(12072,5),(12073,1),(12074,6),(12075,9),(12076,1),(12077,8),(12078,5),(12079,2),(12080,1),(12081,6),(12082,2),(12083,3),(12084,7),(12085,6),(12086,3),(12087,2),(12088,2),(12089,8),(12090,6),(12091,4),(12092,1),(12093,3),(12094,5),(12095,8),(12096,7),(12097,8),(12098,6),(12099,2),(12100,3),(12101,8),(12102,2),(12103,2),(12104,9),(12105,3),(12106,1),(12107,9),(12108,7),(12109,8),(12110,2),(12111,2),(12112,4),(12113,6),(12114,1),(12115,3),(12116,3),(12117,8),(12118,3),(12119,2),(12120,7),(12121,1),(12122,5),(12123,7),(12124,3),(12125,6),(12126,2),(12127,2),(12128,8),(12129,6),(12130,1),(12131,8),(12132,4),(12133,2),(12134,3),(12135,3),(12136,4),(12137,9),(12138,2),(12139,1),(12140,1),(12141,1),(12142,5),(12143,9),(12144,8),(12145,1),(12146,8),(12147,6),(12148,9),(12149,4),(12150,8),(12151,4),(12152,9),(12153,4),(12154,1),(12155,2),(12156,6),(12157,4),(12158,4),(12159,8),(12160,2),(12161,1),(12162,5),(12163,7),(12164,1),(12165,2),(12166,9),(12167,7),(12168,3),(12169,3),(12170,8),(12171,8),(12172,4),(12173,4),(12174,3),(12175,7),(12176,6),(12177,1),(12178,1),(12179,1),(12180,1),(12181,9),(12182,8),(12183,6),(12184,4),(12185,7),(12186,1),(12187,1),(12188,2),(12189,2),(12190,1),(12191,5),(12192,8),(12193,2),(12194,3),(12195,1),(12196,7),(12197,4),(12198,2),(12199,7),(12200,8),(12201,2),(12202,7),(12203,3),(12204,8),(12205,8),(12206,5),(12207,4),(12208,8),(12209,8),(12210,5),(12211,6),(12212,9),(12213,6),(12214,5),(12215,4),(12216,6),(12217,3),(12218,2),(12219,7),(12220,8),(12221,9),(12222,4),(12223,5),(12224,3),(12225,3),(12226,5),(12227,6),(12228,5),(12229,4),(12230,2),(12231,9),(12232,2),(12233,3),(12234,5),(12235,1),(12236,9),(12237,7),(12238,5),(12239,7),(12240,5),(12241,6),(12242,5),(12243,8),(12244,9),(12245,2),(12246,1),(12247,9),(12248,7),(12249,5),(12250,2),(12251,6),(12252,3),(12253,1),(12254,3),(12255,1),(12256,1),(12257,9),(12258,1),(12259,9),(12260,6),(12261,1),(12262,2),(12263,5),(12264,7),(12265,5),(12266,6),(12267,3),(12268,5),(12269,5),(12270,1),(12271,5),(12272,9),(12273,1),(12274,8),(12275,6),(12276,2),(12277,6),(12278,8),(12279,8),(12280,8),(12281,8),(12282,1),(12283,8),(12284,6),(12285,6),(12286,6),(12287,8),(12288,1),(12289,9),(12290,5),(12291,1),(12292,1),(12293,2),(12294,6),(12295,2),(12296,5),(12297,1),(12298,7),(12299,5),(12300,5),(12301,2),(12302,5),(12303,4),(12304,4),(12305,3),(12306,4),(12307,5),(12308,6),(12309,1),(12310,1),(12311,2),(12312,6),(12313,2),(12314,4),(12315,6),(12316,6),(12317,1),(12318,9),(12319,7),(12320,4),(12321,6),(12322,4),(12323,6),(12324,9),(12325,2),(12326,6),(12327,7),(12328,3),(12329,6),(12330,9),(12331,5),(12332,2),(12333,2),(12334,3),(12335,8),(12336,1),(12337,9),(12338,7),(12339,7),(12340,9),(12341,8),(12342,2),(12343,8),(12344,7),(12345,2),(12346,3),(12347,6),(12348,1),(12349,4),(12350,9),(12351,8),(12352,9),(12353,5),(12354,9),(12355,5),(12356,7),(12357,3),(12358,8),(12359,2),(12360,1),(12361,9),(12362,7),(12363,4),(12364,3),(12365,3),(12366,8),(12367,9),(12368,6),(12369,7),(12370,1),(12371,2),(12372,3),(12373,3),(12374,6),(12375,9),(12376,9),(12377,3),(12378,2),(12379,5),(12380,6),(12381,8),(12382,5),(12383,6),(12384,7),(12385,5),(12386,5),(12387,4),(12388,4),(12389,8),(12390,3),(12391,2),(12392,4),(12393,1),(12394,3),(12395,6),(12396,7),(12397,7),(12398,1),(12399,7),(12400,8),(12401,1),(12402,2),(12403,9),(12404,1),(12405,5),(12406,2),(12407,6),(12408,8),(12409,2),(12410,6),(12411,9),(12412,7),(12413,1),(12414,5),(12415,1),(12416,7),(12417,9),(12418,1),(12419,6),(12420,8),(12421,9),(12422,5),(12423,6),(12424,8),(12425,3),(12426,2),(12427,4),(12428,3),(12429,4),(12430,7),(12431,3),(12432,7),(12433,6),(12434,8),(12435,5),(12436,6),(12437,5),(12438,3),(12439,5),(12440,5),(12441,6),(12442,9),(12443,2),(12444,6),(12445,1),(12446,2),(12447,5),(12448,6),(12449,8),(12450,8),(12451,8),(12452,9),(12453,8),(12454,1),(12455,3),(12456,8),(12457,8),(12458,8),(12459,9),(12460,9),(12461,9),(12462,2),(12463,9),(12464,5),(12465,8),(12466,6),(12467,7),(12468,9),(12469,3),(12470,8),(12471,2),(12472,9),(12473,4),(12474,3),(12475,4),(12476,9),(12477,8),(12478,4),(12479,3),(12480,4),(12481,7),(12482,2),(12483,8),(12484,1),(12485,2),(12486,7),(12487,9),(12488,5),(12489,7),(12490,3),(12491,4),(12492,1),(12493,4),(12494,4),(12495,7),(12496,2),(12497,2),(12498,5),(12499,3),(12500,8),(12501,4),(12502,7),(12503,7),(12504,3),(12505,7),(12506,1),(12507,7),(12508,8),(12509,2),(12510,5),(12511,7),(12512,8),(12513,2),(12514,6),(12515,3),(12516,4),(12517,2),(12518,8),(12519,4),(12520,1),(12521,6),(12522,6),(12523,8),(12524,9),(12525,4),(12526,1),(12527,7),(12528,3),(12529,5),(12530,1),(12531,3),(12532,4),(12533,8),(12534,6),(12535,4),(12536,4),(12537,6),(12538,7),(12539,3),(12540,9),(12541,6),(12542,1),(12543,1),(12544,5),(12545,5),(12546,6),(12547,5),(12548,5),(12549,9),(12550,8),(12551,6),(12552,5),(12553,2),(12554,3),(12555,2),(12556,5),(12557,8),(12558,3),(12559,5),(12560,2),(12561,6),(12562,2),(12563,5),(12564,3),(12565,1),(12566,5),(12567,7),(12568,2),(12569,6),(12570,9),(12571,3),(12572,4),(12573,8),(12574,7),(12575,6),(12576,2),(12577,2),(12578,5),(12579,3),(12580,2),(12581,7),(12582,7),(12583,8),(12584,6),(12585,6),(12586,6),(12587,1),(12588,3),(12589,2),(12590,9),(12591,3),(12592,6),(12593,7),(12594,2),(12595,8),(12596,9),(12597,7),(12598,1),(12599,9),(12600,3),(12601,5),(12602,5),(12603,3),(12604,6),(12605,6),(12606,7),(12607,4),(12608,1),(12609,5),(12610,4),(12611,8),(12612,9),(12613,8),(12614,1),(12615,5),(12616,7),(12617,8),(12618,8),(12619,7),(12620,5),(12621,5),(12622,1),(12623,4),(12624,6),(12625,9),(12626,4),(12627,6),(12628,3),(12629,2),(12630,1),(12631,3),(12632,7),(12633,9),(12634,5),(12635,9),(12636,3),(12637,3),(12638,8),(12639,5),(12640,7),(12641,1),(12642,7),(12643,8),(12644,8),(12645,8),(12646,1),(12647,6),(12648,3),(12649,7),(12650,3),(12651,7),(12652,8),(12653,1),(12654,2),(12655,9),(12656,2),(12657,1),(12658,7),(12659,3),(12660,1),(12661,5),(12662,5),(12663,6),(12664,9),(12665,5),(12666,5),(12667,4),(12668,2),(12669,9),(12670,2),(12671,3),(12672,3),(12673,4),(12674,4),(12675,8),(12676,7),(12677,5),(12678,5),(12679,9),(12680,8),(12681,8),(12682,9),(12683,8),(12684,5),(12685,5),(12686,2),(12687,5),(12688,3),(12689,1),(12690,2),(12691,7),(12692,9),(12693,1),(12694,4),(12695,2),(12696,9),(12697,8),(12698,2),(12699,4),(12700,1),(12701,5),(12702,5),(12703,8),(12704,9),(12705,8),(12706,2),(12707,6),(12708,8),(12709,8),(12710,7),(12711,3),(12712,8),(12713,2),(12714,7),(12715,6),(12716,2),(12717,9),(12718,2),(12719,8),(12720,4),(12721,6),(12722,1),(12723,3),(12724,5),(12725,1),(12726,8),(12727,8),(12728,1),(12729,8),(12730,4),(12731,3),(12732,3),(12733,8),(12734,4),(12735,7),(12736,6),(12737,8),(12738,6),(12739,4),(12740,8),(12741,1),(12742,6),(12743,4),(12744,2),(12745,4),(12746,3),(12747,6),(12748,2),(12749,4),(12750,2),(12751,3),(12752,6),(12753,1),(12754,1),(12755,5),(12756,6),(12757,6),(12758,8),(12759,1),(12760,7),(12761,9),(12762,7),(12763,9),(12764,6),(12765,5),(12766,8),(12767,8),(12768,9),(12769,7),(12770,4),(12771,5),(12772,5),(12773,2),(12774,3),(12775,1),(12776,2),(12777,5),(12778,8),(12779,3),(12780,6),(12781,3),(12782,4),(12783,7),(12784,4),(12785,6),(12786,2),(12787,4),(12788,7),(12789,2),(12790,6),(12791,1),(12792,8),(12793,4),(12794,8),(12795,7),(12796,9),(12797,9),(12798,6),(12799,6),(12800,5),(12801,9),(12802,8),(12803,8),(12804,5),(12805,1),(12806,5),(12807,1),(12808,2),(12809,6),(12810,5),(12811,3),(12812,6),(12813,5),(12814,3),(12815,1),(12816,8),(12817,1),(12818,6),(12819,3),(12820,3),(12821,4),(12822,5),(12823,9),(12824,3),(12825,2),(12826,5),(12827,6),(12828,3),(12829,3),(12830,4),(12831,2),(12832,2),(12833,2),(12834,6),(12835,5),(12836,2),(12837,4),(12838,8),(12839,8),(12840,4),(12841,2),(12842,3),(12843,9),(12844,9),(12845,6),(12846,4),(12847,7),(12848,2),(12849,4),(12850,8),(12851,8),(12852,1),(12853,6),(12854,9),(12855,8),(12856,5),(12857,4),(12858,3),(12859,5),(12860,4),(12861,6),(12862,6),(12863,4),(12864,8),(12865,2),(12866,8),(12867,1),(12868,1),(12869,5),(12870,8),(12871,9),(12872,1),(12873,7),(12874,2),(12875,2),(12876,3),(12877,4),(12878,8),(12879,5),(12880,4),(12881,1),(12882,1),(12883,2),(12884,6),(12885,4),(12886,2),(12887,8),(12888,4),(12889,7),(12890,4),(12891,6),(12892,9),(12893,7),(12894,6),(12895,3),(12896,7),(12897,9),(12898,7),(12899,8),(12900,8),(12901,9),(12902,5),(12903,3),(12904,4),(12905,6),(12906,2),(12907,5),(12908,3),(12909,2),(12910,9),(12911,1),(12912,3),(12913,9),(12914,6),(12915,8),(12916,6),(12917,3),(12918,3),(12919,6),(12920,6),(12921,3),(12922,3),(12923,2),(12924,7),(12925,1),(12926,5),(12927,1),(12928,9),(12929,5),(12930,1),(12931,6),(12932,7),(12933,6),(12934,1),(12935,5),(12936,7),(12937,5),(12938,5),(12939,4),(12940,5),(12941,8),(12942,4),(12943,7),(12944,6),(12945,3),(12946,9),(12947,9),(12948,2),(12949,8),(12950,7),(12951,8),(12952,6),(12953,2),(12954,7),(12955,4),(12956,2),(12957,5),(12958,2),(12959,8),(12960,2),(12961,4),(12962,8),(12963,6),(12964,9),(12965,1),(12966,8),(12967,1),(12968,4),(12969,6),(12970,4),(12971,4),(12972,9),(12973,4),(12974,7),(12975,3),(12976,6),(12977,2),(12978,7),(12979,4),(12980,8),(12981,7),(12982,7),(12983,8),(12984,4),(12985,1),(12986,2),(12987,3),(12988,4),(12989,5),(12990,4),(12991,9),(12992,3),(12993,7),(12994,6),(12995,9),(12996,3),(12997,8),(12998,2),(12999,8),(13000,8),(13001,1),(13002,3),(13003,5),(13004,8),(13005,1),(13006,6),(13007,5),(13008,7),(13009,5),(13010,5),(13011,4),(13012,1),(13013,7),(13014,3),(13015,3),(13016,9),(13017,9),(13018,7),(13019,8),(13020,3),(13021,3),(13022,8),(13023,6),(13024,2),(13025,9),(13026,8),(13027,8),(13028,2),(13029,9),(13030,4),(13031,4),(13032,3),(13033,7),(13034,6),(13035,7),(13036,4),(13037,9),(13038,3),(13039,4),(13040,2),(13041,1),(13042,7),(13043,3),(13044,9),(13045,3),(13046,2),(13047,9),(13048,8),(13049,2),(13050,6),(13051,2),(13052,4),(13053,1),(13054,9),(13055,7),(13056,9),(13057,9),(13058,3),(13059,7),(13060,4),(13061,8),(13062,1),(13063,6),(13064,8),(13065,1),(13066,8),(13067,8),(13068,5),(13069,7),(13070,6),(13071,4),(13072,7),(13073,9),(13074,1),(13075,6),(13076,3),(13077,6),(13078,1),(13079,1),(13080,7),(13081,6),(13082,7),(13083,4),(13084,3),(13085,9),(13086,9),(13087,4),(13088,1),(13089,1),(13090,7),(13091,5),(13092,9),(13093,2),(13094,4),(13095,9),(13096,1),(13097,4),(13098,7),(13099,7),(13100,9),(13101,1),(13102,6),(13103,1),(13104,4),(13105,5),(13106,2),(13107,7),(13108,7),(13109,6),(13110,9),(13111,6),(13112,2),(13113,1),(13114,9),(13115,8),(13116,7),(13117,7),(13118,6),(13119,1),(13120,4),(13121,3),(13122,2),(13123,7),(13124,9),(13125,5),(13126,3),(13127,6),(13128,8),(13129,3),(13130,1),(13131,9),(13132,9),(13133,3),(13134,5),(13135,1),(13136,8),(13137,3),(13138,3),(13139,2),(13140,9),(13141,6),(13142,9),(13143,5),(13144,1),(13145,6),(13146,3),(13147,9),(13148,8),(13149,7),(13150,6),(13151,6),(13152,1),(13153,9),(13154,8),(13155,9),(13156,9),(13157,5),(13158,7),(13159,5),(13160,8),(13161,9),(13162,8),(13163,6),(13164,1),(13165,6),(13166,2),(13167,8),(13168,7),(13169,9),(13170,4),(13171,1),(13172,7),(13173,7),(13174,4),(13175,3),(13176,7),(13177,1),(13178,7),(13179,4),(13180,6),(13181,2),(13182,5),(13183,5),(13184,9),(13185,3),(13186,5),(13187,3),(13188,1),(13189,8),(13190,4),(13191,2),(13192,6),(13193,2),(13194,2),(13195,9),(13196,2),(13197,1),(13198,7),(13199,7),(13200,9),(13201,3),(13202,8),(13203,5),(13204,7),(13205,7),(13206,9),(13207,9),(13208,9),(13209,3),(13210,4),(13211,9),(13212,2),(13213,9),(13214,1),(13215,9),(13216,2),(13217,7),(13218,2),(13219,7),(13220,1),(13221,6),(13222,7),(13223,9),(13224,6),(13225,3),(13226,8),(13227,7),(13228,9),(13229,2),(13230,4),(13231,9),(13232,9),(13233,7),(13234,8),(13235,2),(13236,1),(13237,5),(13238,5),(13239,8),(13240,6),(13241,3),(13242,9),(13243,3),(13244,2),(13245,3),(13246,4),(13247,2),(13248,5),(13249,5),(13250,9),(13251,9),(13252,6),(13253,7),(13254,3),(13255,6),(13256,5),(13257,8),(13258,7),(13259,9),(13260,9),(13261,6),(13262,5),(13263,7),(13264,4),(13265,8),(13266,3),(13267,9),(13268,4),(13269,3),(13270,7),(13271,9),(13272,8),(13273,6),(13274,8),(13275,9),(13276,3),(13277,4),(13278,7),(13279,6),(13280,6),(13281,1),(13282,5),(13283,9),(13284,4),(13285,6),(13286,1),(13287,1),(13288,4),(13289,1),(13290,2),(13291,1),(13292,5),(13293,8),(13294,5),(13295,7),(13296,2),(13297,7),(13298,3),(13299,8),(13300,5),(13301,3),(13302,3),(13303,6),(13304,3),(13305,7),(13306,9),(13307,6),(13308,2),(13309,6),(13310,6),(13311,4),(13312,2),(13313,3),(13314,9),(13315,5),(13316,2),(13317,3),(13318,5),(13319,7),(13320,5),(13321,4),(13322,9),(13323,2),(13324,3),(13325,5),(13326,6),(13327,9),(13328,8),(13329,6),(13330,9),(13331,4),(13332,8),(13333,1),(13334,5),(13335,3),(13336,4),(13337,2),(13338,4),(13339,5),(13340,5),(13341,5),(13342,6),(13343,2),(13344,2),(13345,5),(13346,4),(13347,9),(13348,9),(13349,1),(13350,9),(13351,5),(13352,5),(13353,5),(13354,1),(13355,7),(13356,6),(13357,7),(13358,5),(13359,1),(13360,2),(13361,2),(13362,8),(13363,9),(13364,9),(13365,7),(13366,1),(13367,4),(13368,2),(13369,8),(13370,9),(13371,7),(13372,3),(13373,3),(13374,5),(13375,8),(13376,6),(13377,7),(13378,3),(13379,4),(13380,6),(13381,4),(13382,6),(13383,6),(13384,9),(13385,1),(13386,7),(13387,7),(13388,4),(13389,2),(13390,4),(13391,2),(13392,2),(13393,9),(13394,6),(13395,4),(13396,1),(13397,2),(13398,3),(13399,7),(13400,3),(13401,8),(13402,7),(13403,8),(13404,8),(13405,9),(13406,3),(13407,6),(13408,3),(13409,4),(13410,3),(13411,5),(13412,9),(13413,8),(13414,1),(13415,4),(13416,2),(13417,4),(13418,7),(13419,6),(13420,5),(13421,2),(13422,4),(13423,5),(13424,3),(13425,5),(13426,5),(13427,4),(13428,8),(13429,4),(13430,2),(13431,2),(13432,4),(13433,6),(13434,5),(13435,7),(13436,3),(13437,2),(13438,6),(13439,3),(13440,8),(13441,1),(13442,1),(13443,2),(13444,8),(13445,9),(13446,4),(13447,7),(13448,8),(13449,1),(13450,8),(13451,4),(13452,8),(13453,1),(13454,1),(13455,8),(13456,2),(13457,6),(13458,5),(13459,3),(13460,4),(13461,1),(13462,2),(13463,8),(13464,7),(13465,3),(13466,4),(13467,7),(13468,4),(13469,7),(13470,7),(13471,3),(13472,8),(13473,3),(13474,8),(13475,7),(13476,6),(13477,5),(13478,5),(13479,8),(13480,3),(13481,9),(13482,2),(13483,4),(13484,3),(13485,8),(13486,5),(13487,2),(13488,4),(13489,1),(13490,8),(13491,9),(13492,2),(13493,2),(13494,2),(13495,2),(13496,2),(13497,3),(13498,8),(13499,8),(13500,1),(13501,3),(13502,2),(13503,8),(13504,4),(13505,9),(13506,9),(13507,7),(13508,6),(13509,8),(13510,2),(13511,7),(13512,1),(13513,3),(13514,6),(13515,9),(13516,6),(13517,4),(13518,6),(13519,1),(13520,9),(13521,2),(13522,6),(13523,9),(13524,2),(13525,8),(13526,9),(13527,2),(13528,7),(13529,1),(13530,3),(13531,4),(13532,6),(13533,1),(13534,3),(13535,7),(13536,9),(13537,9),(13538,4),(13539,5),(13540,6),(13541,1),(13542,6),(13543,8),(13544,8),(13545,7),(13546,1),(13547,1),(13548,1),(13549,3),(13550,7),(13551,1),(13552,9),(13553,2),(13554,5),(13555,4),(13556,6),(13557,1),(13558,5),(13559,1),(13560,1),(13561,2),(13562,2),(13563,1),(13564,6),(13565,8),(13566,3),(13567,3),(13568,4),(13569,7),(13570,7),(13571,3),(13572,9),(13573,1),(13574,5),(13575,8),(13576,7),(13577,4),(13578,8),(13579,4),(13580,4),(13581,4),(13582,8),(13583,2),(13584,1),(13585,3),(13586,5),(13587,6),(13588,2),(13589,7),(13590,4),(13591,7),(13592,7),(13593,9),(13594,3),(13595,9),(13596,5),(13597,4),(13598,2),(13599,5),(13600,8),(13601,6),(13602,6),(13603,2),(13604,2),(13605,9),(13606,5),(13607,2),(13608,4),(13609,5),(13610,2),(13611,6),(13612,8),(13613,5),(13614,5),(13615,5),(13616,8),(13617,3),(13618,9),(13619,1),(13620,7),(13621,4),(13622,3),(13623,6),(13624,9),(13625,8),(13626,3),(13627,4),(13628,1),(13629,4),(13630,1),(13631,7),(13632,3),(13633,6),(13634,5),(13635,8),(13636,2),(13637,2),(13638,2),(13639,7),(13640,5),(13641,5),(13642,8),(13643,5),(13644,5),(13645,2),(13646,2),(13647,9),(13648,9),(13649,9),(13650,4),(13651,5),(13652,5),(13653,7),(13654,5),(13655,7),(13656,2),(13657,3),(13658,8),(13659,1),(13660,9),(13661,9),(13662,1),(13663,1),(13664,5),(13665,5),(13666,7),(13667,5),(13668,5),(13669,1),(13670,7),(13671,9),(13672,3),(13673,9),(13674,7),(13675,7),(13676,1),(13677,8),(13678,9),(13679,2),(13680,7),(13681,6),(13682,6),(13683,3),(13684,2),(13685,9),(13686,5),(13687,6),(13688,2),(13689,7),(13690,9),(13691,6),(13692,3),(13693,9),(13694,1),(13695,5),(13696,4),(13697,9),(13698,6),(13699,8),(13700,8),(13701,8),(13702,5),(13703,9),(13704,1),(13705,6),(13706,6),(13707,1),(13708,4),(13709,7),(13710,8),(13711,9),(13712,3),(13713,9),(13714,8),(13715,9),(13716,4),(13717,9),(13718,5),(13719,1),(13720,2),(13721,3),(13722,6),(13723,2),(13724,6),(13725,6),(13726,6),(13727,8),(13728,4),(13729,7),(13730,9),(13731,2),(13732,6),(13733,3),(13734,9),(13735,2),(13736,3),(13737,7),(13738,3),(13739,4),(13740,6),(13741,6),(13742,1),(13743,8),(13744,5),(13745,9),(13746,9),(13747,7),(13748,4),(13749,8),(13750,8),(13751,7),(13752,2),(13753,5),(13754,2),(13755,4),(13756,3),(13757,1),(13758,1),(13759,5),(13760,5),(13761,8),(13762,6),(13763,9),(13764,9),(13765,6),(13766,2),(13767,6),(13768,9),(13769,3),(13770,3),(13771,8),(13772,7),(13773,7),(13774,8),(13775,6),(13776,3),(13777,6),(13778,3),(13779,1),(13780,5),(13781,4),(13782,9),(13783,5),(13784,2),(13785,5),(13786,2),(13787,8),(13788,5),(13789,5),(13790,8),(13791,9),(13792,5),(13793,4),(13794,2),(13795,5),(13796,2),(13797,1),(13798,2),(13799,7),(13800,6),(13801,2),(13802,7),(13803,6),(13804,1),(13805,9),(13806,2),(13807,5),(13808,5),(13809,3),(13810,1),(13811,5),(13812,8),(13813,4),(13814,2),(13815,5),(13816,6),(13817,8),(13818,7),(13819,2),(13820,3),(13821,8),(13822,9),(13823,3),(13824,5),(13825,2),(13826,2),(13827,3),(13828,5),(13829,1),(13830,7),(13831,7),(13832,6),(13833,5),(13834,8),(13835,8),(13836,5),(13837,1),(13838,6),(13839,8),(13840,5),(13841,7),(13842,4),(13843,1),(13844,4),(13845,9),(13846,9),(13847,5),(13848,7),(13849,8),(13850,3),(13851,5),(13852,1),(13853,7),(13854,3),(13855,1),(13856,9),(13857,3),(13858,5),(13859,4),(13860,6),(13861,2),(13862,5),(13863,6),(13864,4),(13865,1),(13866,5),(13867,6),(13868,4),(13869,2),(13870,1),(13871,7),(13872,4),(13873,4),(13874,5),(13875,6),(13876,3),(13877,6),(13878,2),(13879,8),(13880,5),(13881,3),(13882,4),(13883,2),(13884,3),(13885,5),(13886,8),(13887,4),(13888,3),(13889,9),(13890,5),(13891,3),(13892,1),(13893,3),(13894,8),(13895,6),(13896,2),(13897,1),(13898,8),(13899,3),(13900,3),(13901,7),(13902,8),(13903,2),(13904,1),(13905,2),(13906,4),(13907,6),(13908,2),(13909,8),(13910,5),(13911,9),(13912,3),(13913,4),(13914,9),(13915,6),(13916,6),(13917,8),(13918,3),(13919,6),(13920,2),(13921,4),(13922,2),(13923,9),(13924,1),(13925,5),(13926,7),(13927,7),(13928,8),(13929,9),(13930,1),(13931,2),(13932,7),(13933,8),(13934,5),(13935,1),(13936,4),(13937,9),(13938,1),(13939,8),(13940,1),(13941,2),(13942,9),(13943,2),(13944,4),(13945,4),(13946,4),(13947,1),(13948,7),(13949,3),(13950,3),(13951,7),(13952,8),(13953,5),(13954,3),(13955,9),(13956,5),(13957,3),(13958,7),(13959,5),(13960,8),(13961,9),(13962,3),(13963,9),(13964,4),(13965,7),(13966,4),(13967,1),(13968,9),(13969,8),(13970,6),(13971,4),(13972,1),(13973,8),(13974,9),(13975,8),(13976,5),(13977,6),(13978,1),(13979,9),(13980,5),(13981,9),(13982,7),(13983,8),(13984,2),(13985,7),(13986,7),(13987,1),(13988,1),(13989,6),(13990,4),(13991,4),(13992,9),(13993,8),(13994,1),(13995,2),(13996,1),(13997,8),(13998,1),(13999,6),(14000,6),(14001,6),(14002,3),(14003,5),(14004,9),(14005,5),(14006,7),(14007,9),(14008,7),(14009,1),(14010,3),(14011,3),(14012,6),(14013,4),(14014,2),(14015,6),(14016,7),(14017,2),(14018,3),(14019,8),(14020,1),(14021,8),(14022,8),(14023,4),(14024,8),(14025,2),(14026,3),(14027,1),(14028,1),(14029,6),(14030,5),(14031,7),(14032,7),(14033,2),(14034,5),(14035,2),(14036,2),(14037,9),(14038,4),(14039,3),(14040,6),(14041,7),(14042,1),(14043,5),(14044,5),(14045,4),(14046,5),(14047,2),(14048,8),(14049,7),(14050,2),(14051,1),(14052,1),(14053,6),(14054,1),(14055,5),(14056,9),(14057,5),(14058,1),(14059,5),(14060,4),(14061,4),(14062,6),(14063,4),(14064,6),(14065,4),(14066,4),(14067,3),(14068,7),(14069,4),(14070,7),(14071,7),(14072,4),(14073,8),(14074,7),(14075,7),(14076,2),(14077,7),(14078,6),(14079,6),(14080,7),(14081,2),(14082,8),(14083,4),(14084,9),(14085,7),(14086,9),(14087,5),(14088,5),(14089,2),(14090,6),(14091,8),(14092,4),(14093,1),(14094,3),(14095,3),(14096,5),(14097,3),(14098,5),(14099,7),(14100,8),(14101,1),(14102,1),(14103,8),(14104,1),(14105,8),(14106,2),(14107,8),(14108,8),(14109,7),(14110,8),(14111,9),(14112,7),(14113,3),(14114,2),(14115,2),(14116,7),(14117,4),(14118,4),(14119,7),(14120,7),(14121,7),(14122,6),(14123,5),(14124,5),(14125,6),(14126,8),(14127,7),(14128,7),(14129,5),(14130,4),(14131,3),(14132,1),(14133,3),(14134,9),(14135,1),(14136,8),(14137,1),(14138,3),(14139,6),(14140,9),(14141,1),(14142,2),(14143,2),(14144,1),(14145,1),(14146,7),(14147,8),(14148,3),(14149,2),(14150,8),(14151,6),(14152,7),(14153,1),(14154,2),(14155,5),(14156,6),(14157,6),(14158,7),(14159,9),(14160,7),(14161,1),(14162,9),(14163,4),(14164,5),(14165,6),(14166,1),(14167,9),(14168,8),(14169,4),(14170,9),(14171,5),(14172,7),(14173,5),(14174,4),(14175,6),(14176,3),(14177,7),(14178,5),(14179,5),(14180,2),(14181,8),(14182,3),(14183,4),(14184,5),(14185,1),(14186,8),(14187,9),(14188,1),(14189,7),(14190,2),(14191,5),(14192,8),(14193,6),(14194,1),(14195,1),(14196,6),(14197,8),(14198,1),(14199,7),(14200,9),(14201,8),(14202,8),(14203,5),(14204,1),(14205,2),(14206,8),(14207,5),(14208,7),(14209,5),(14210,6),(14211,1),(14212,3),(14213,6),(14214,9),(14215,8),(14216,8),(14217,3),(14218,6),(14219,7),(14220,2),(14221,6),(14222,6),(14223,4),(14224,8),(14225,5),(14226,2),(14227,4),(14228,9),(14229,4),(14230,6),(14231,7),(14232,6),(14233,7),(14234,4),(14235,5),(14236,7),(14237,5),(14238,2),(14239,4),(14240,8),(14241,2),(14242,7),(14243,1),(14244,6),(14245,9),(14246,7),(14247,4),(14248,8),(14249,8),(14250,9),(14251,8),(14252,5),(14253,6),(14254,8),(14255,5),(14256,6),(14257,8),(14258,7),(14259,3),(14260,2),(14261,2),(14262,6),(14263,8),(14264,9),(14265,8),(14266,6),(14267,5),(14268,7),(14269,4),(14270,2),(14271,9),(14272,4),(14273,5),(14274,7),(14275,1),(14276,3),(14277,7),(14278,7),(14279,8),(14280,9),(14281,6),(14282,5),(14283,9),(14284,7),(14285,6),(14286,1),(14287,8),(14288,4),(14289,3),(14290,5),(14291,7),(14292,8),(14293,8),(14294,7),(14295,9),(14296,4),(14297,8),(14298,1),(14299,4),(14300,4),(14301,6),(14302,2),(14303,5),(14304,6),(14305,7),(14306,7),(14307,8),(14308,8),(14309,7),(14310,8),(14311,3),(14312,2),(14313,4),(14314,9),(14315,3),(14316,3),(14317,3),(14318,3),(14319,7),(14320,1),(14321,2),(14322,5),(14323,3),(14324,9),(14325,5),(14326,1),(14327,3),(14328,1),(14329,2),(14330,1),(14331,6),(14332,3),(14333,1),(14334,9),(14335,1),(14336,5),(14337,5),(14338,4),(14339,1),(14340,8),(14341,6),(14342,8),(14343,6),(14344,7),(14345,7),(14346,2),(14347,5),(14348,7),(14349,6),(14350,5),(14351,5),(14352,1),(14353,1),(14354,3),(14355,6),(14356,7),(14357,7),(14358,3),(14359,8),(14360,6),(14361,1),(14362,3),(14363,6),(14364,4),(14365,2),(14366,7),(14367,1),(14368,4),(14369,5),(14370,7),(14371,8),(14372,9),(14373,9),(14374,4),(14375,2),(14376,5),(14377,3),(14378,4),(14379,4),(14380,6),(14381,4),(14382,3),(14383,7),(14384,4),(14385,1),(14386,8),(14387,7),(14388,6),(14389,1),(14390,5),(14391,5),(14392,4),(14393,7),(14394,3),(14395,7),(14396,3),(14397,4),(14398,2),(14399,6),(14400,5),(14401,4),(14402,3),(14403,7),(14404,8),(14405,3),(14406,7),(14407,9),(14408,4),(14409,5),(14410,6),(14411,5),(14412,9),(14413,2),(14414,2),(14415,8),(14416,3),(14417,4),(14418,2),(14419,9),(14420,8),(14421,7),(14422,6),(14423,1),(14424,6),(14425,8),(14426,8),(14427,5),(14428,7),(14429,1),(14430,5),(14431,9),(14432,5),(14433,6),(14434,6),(14435,6),(14436,7),(14437,4),(14438,4),(14439,3),(14440,2),(14441,4),(14442,2),(14443,7),(14444,5),(14445,5),(14446,4),(14447,1),(14448,1),(14449,6),(14450,5),(14451,9),(14452,8),(14453,9),(14454,5),(14455,3),(14456,5),(14457,3),(14458,6),(14459,7),(14460,7),(14461,2),(14462,3),(14463,6),(14464,9),(14465,7),(14466,1),(14467,3),(14468,3),(14469,2),(14470,9),(14471,4),(14472,1),(14473,7),(14474,3),(14475,7),(14476,2),(14477,3),(14478,8),(14479,3),(14480,3),(14481,6),(14482,6),(14483,8),(14484,5),(14485,8),(14486,6),(14487,2),(14488,7),(14489,7),(14490,2),(14491,8),(14492,4),(14493,1),(14494,5),(14495,4),(14496,4),(14497,3),(14498,1),(14499,2),(14500,4),(14501,4),(14502,5),(14503,7),(14504,9),(14505,1),(14506,1),(14507,9),(14508,2),(14509,9),(14510,9),(14511,9),(14512,3),(14513,2),(14514,7),(14515,1),(14516,9),(14517,9),(14518,9),(14519,3),(14520,8),(14521,1),(14522,5),(14523,5),(14524,9),(14525,4),(14526,1),(14527,2),(14528,4),(14529,3),(14530,2),(14531,4),(14532,2),(14533,3),(14534,6),(14535,4),(14536,8),(14537,7),(14538,2),(14539,8),(14540,2),(14541,2),(14542,3),(14543,5),(14544,6),(14545,3),(14546,5),(14547,8),(14548,9),(14549,5),(14550,2),(14551,6),(14552,6),(14553,9),(14554,5),(14555,3),(14556,6),(14557,1),(14558,9),(14559,3),(14560,7),(14561,3),(14562,9),(14563,9),(14564,2),(14565,5),(14566,7),(14567,1),(14568,1),(14569,5),(14570,1),(14571,9),(14572,4),(14573,7),(14574,9),(14575,1),(14576,1),(14577,1),(14578,8),(14579,2),(14580,2),(14581,8),(14582,6),(14583,3),(14584,2),(14585,2),(14586,9),(14587,8),(14588,9),(14589,5),(14590,2),(14591,4),(14592,6),(14593,2),(14594,2),(14595,8),(14596,7),(14597,4),(14598,4),(14599,1),(14600,5),(14601,8),(14602,3),(14603,1),(14604,1),(14605,2),(14606,4),(14607,7),(14608,5),(14609,4),(14610,9),(14611,3),(14612,7),(14613,3),(14614,4),(14615,8),(14616,7),(14617,7),(14618,1),(14619,8),(14620,6),(14621,6),(14622,1),(14623,9),(14624,8),(14625,4),(14626,6),(14627,5),(14628,4),(14629,5),(14630,3),(14631,3),(14632,1),(14633,9),(14634,8),(14635,4),(14636,7),(14637,1),(14638,7),(14639,3),(14640,8),(14641,4),(14642,6),(14643,7),(14644,6),(14645,1),(14646,9),(14647,9),(14648,2),(14649,1),(14650,3),(14651,3),(14652,1),(14653,9),(14654,7),(14655,7),(14656,8),(14657,3),(14658,7),(14659,2),(14660,7),(14661,1),(14662,8),(14663,5),(14664,7),(14665,5),(14666,3),(14667,1),(14668,5),(14669,2),(14670,6),(14671,6),(14672,8),(14673,7),(14674,1),(14675,1),(14676,3),(14677,1),(14678,6),(14679,4),(14680,6),(14681,7),(14682,1),(14683,7),(14684,4),(14685,2),(14686,6),(14687,1),(14688,2),(14689,5),(14690,1),(14691,6),(14692,1),(14693,2),(14694,8),(14695,2),(14696,6),(14697,8),(14698,6),(14699,6),(14700,8),(14701,7),(14702,4),(14703,4),(14704,3),(14705,4),(14706,6),(14707,1),(14708,4),(14709,9),(14710,6),(14711,4),(14712,4),(14713,8),(14714,5),(14715,3),(14716,2),(14717,6),(14718,1),(14719,7),(14720,4),(14721,7),(14722,2),(14723,5),(14724,8),(14725,4),(14726,8),(14727,7),(14728,1),(14729,6),(14730,5),(14731,9),(14732,3),(14733,7),(14734,1),(14735,2),(14736,8),(14737,5),(14738,6),(14739,7),(14740,5),(14741,2),(14742,5),(14743,4),(14744,5),(14745,4),(14746,5),(14747,2),(14748,9),(14749,9),(14750,1),(14751,7),(14752,2),(14753,1),(14754,4),(14755,2),(14756,2),(14757,1),(14758,3),(14759,9),(14760,7),(14761,6),(14762,5),(14763,2),(14764,6),(14765,2),(14766,7),(14767,4),(14768,5),(14769,6),(14770,7),(14771,7),(14772,7),(14773,5),(14774,8),(14775,8),(14776,6),(14777,2),(14778,2),(14779,5),(14780,6),(14781,2),(14782,3),(14783,6),(14784,8),(14785,4),(14786,9),(14787,8),(14788,5),(14789,4),(14790,8),(14791,3),(14792,5),(14793,4),(14794,2),(14795,9),(14796,9),(14797,7),(14798,3),(14799,5),(14800,3),(14801,7),(14802,8),(14803,6),(14804,1),(14805,2),(14806,2),(14807,6),(14808,1),(14809,8),(14810,1),(14811,4),(14812,4),(14813,8),(14814,3),(14815,4),(14816,4),(14817,4),(14818,4),(14819,2),(14820,4),(14821,3),(14822,8),(14823,3),(14824,7),(14825,2),(14826,6),(14827,6),(14828,9),(14829,4),(14830,8),(14831,7),(14832,9),(14833,7),(14834,4),(14835,1),(14836,8),(14837,6),(14838,4),(14839,1),(14840,2),(14841,3),(14842,9),(14843,1),(14844,7),(14845,8),(14846,8),(14847,7),(14848,7),(14849,6),(14850,5),(14851,7),(14852,6),(14853,8),(14854,3),(14855,3),(14856,6),(14857,6),(14858,5),(14859,6),(14860,9),(14861,5),(14862,2),(14863,5),(14864,7),(14865,4),(14866,3),(14867,5),(14868,8),(14869,7),(14870,7),(14871,6),(14872,7),(14873,3),(14874,2),(14875,6),(14876,5),(14877,5),(14878,5),(14879,5),(14880,8),(14881,7),(14882,6),(14883,1),(14884,8),(14885,1),(14886,7),(14887,2),(14888,5),(14889,3),(14890,5),(14891,5),(14892,8),(14893,9),(14894,1),(14895,9),(14896,4),(14897,7),(14898,8),(14899,9),(14900,6),(14901,8),(14902,1),(14903,1),(14904,9),(14905,5),(14906,3),(14907,7),(14908,9),(14909,7),(14910,3),(14911,8),(14912,2),(14913,5),(14914,8),(14915,5),(14916,1),(14917,4),(14918,5),(14919,9),(14920,3),(14921,6),(14922,5),(14923,3),(14924,9),(14925,1),(14926,8),(14927,4),(14928,6),(14929,6),(14930,7),(14931,1),(14932,5),(14933,4),(14934,6),(14935,9),(14936,2),(14937,8),(14938,3),(14939,6),(14940,1),(14941,9),(14942,2),(14943,7),(14944,6),(14945,9),(14946,9),(14947,3),(14948,6),(14949,8),(14950,4),(14951,4),(14952,4),(14953,1),(14954,4),(14955,4),(14956,5),(14957,9),(14958,7),(14959,1),(14960,5),(14961,1),(14962,1),(14963,7),(14964,7),(14965,8),(14966,8),(14967,1),(14968,1),(14969,8),(14970,4),(14971,4),(14972,2),(14973,4),(14974,2),(14975,3),(14976,2),(14977,4),(14978,5),(14979,4),(14980,4),(14981,8),(14982,4),(14983,5),(14984,2),(14985,3),(14986,4),(14987,6),(14988,4),(14989,1),(14990,5),(14991,5),(14992,7),(14993,9),(14994,5),(14995,6),(14996,5),(14997,2),(14998,4),(14999,4),(15000,8),(15001,4),(15002,2),(15003,7),(15004,9),(15005,1),(15006,2),(15007,8),(15008,7),(15009,9),(15010,9),(15011,6),(15012,7),(15013,5),(15014,2),(15015,7),(15016,2),(15017,7),(15018,8),(15019,6),(15020,1),(15021,4),(15022,3),(15023,2),(15024,1),(15025,3),(15026,1),(15027,3),(15028,2),(15029,5),(15030,1),(15031,3),(15032,6),(15033,5),(15034,5),(15035,4),(15036,9),(15037,7),(15038,5),(15039,8),(15040,9),(15041,8),(15042,9),(15043,5),(15044,5),(15045,4),(15046,2),(15047,6),(15048,2),(15049,8),(15050,5),(15051,6),(15052,7),(15053,2),(15054,4),(15055,7),(15056,3),(15057,1),(15058,6),(15059,4),(15060,1),(15061,9),(15062,2),(15063,7),(15064,3),(15065,6),(15066,7),(15067,6),(15068,1),(15069,7),(15070,5),(15071,6),(15072,7),(15073,3),(15074,9),(15075,2),(15076,4),(15077,3),(15078,8),(15079,8),(15080,4),(15081,9),(15082,3),(15083,3),(15084,4),(15085,3),(15086,7),(15087,9),(15088,1),(15089,8),(15090,8),(15091,2),(15092,4),(15093,7),(15094,3),(15095,8),(15096,9),(15097,4),(15098,8),(15099,1),(15100,4),(15101,7),(15102,1),(15103,6),(15104,7),(15105,7),(15106,6),(15107,4),(15108,2),(15109,4),(15110,6),(15111,5),(15112,4),(15113,6),(15114,1),(15115,6),(15116,3),(15117,3),(15118,7),(15119,6),(15120,3),(15121,4),(15122,9),(15123,9),(15124,7),(15125,5),(15126,1),(15127,8),(15128,1),(15129,7),(15130,1),(15131,9),(15132,6),(15133,8),(15134,6),(15135,3),(15136,2),(15137,8),(15138,8),(15139,5),(15140,2),(15141,4),(15142,7),(15143,6),(15144,5),(15145,4),(15146,1),(15147,9),(15148,8),(15149,2),(15150,6),(15151,5),(15152,8),(15153,3),(15154,7),(15155,9),(15156,2),(15157,3),(15158,8),(15159,1),(15160,2),(15161,5),(15162,6),(15163,3),(15164,8),(15165,7),(15166,6),(15167,4),(15168,2),(15169,3),(15170,3),(15171,2),(15172,7),(15173,5),(15174,5),(15175,6),(15176,1),(15177,7),(15178,6),(15179,6),(15180,3),(15181,6),(15182,7),(15183,9),(15184,9),(15185,1),(15186,7),(15187,2),(15188,3),(15189,8),(15190,2),(15191,1),(15192,1),(15193,1),(15194,6),(15195,9),(15196,1),(15197,3),(15198,5),(15199,6),(15200,9),(15201,9),(15202,6),(15203,3),(15204,7),(15205,5),(15206,8),(15207,3),(15208,9),(15209,4),(15210,8),(15211,3),(15212,8),(15213,9),(15214,7),(15215,5),(15216,8),(15217,7),(15218,7),(15219,2),(15220,2),(15221,6),(15222,6),(15223,9),(15224,2),(15225,5),(15226,8),(15227,1),(15228,4),(15229,3),(15230,3),(15231,4),(15232,2),(15233,9),(15234,5),(15235,4),(15236,2),(15237,7),(15238,7),(15239,3),(15240,7),(15241,3),(15242,8),(15243,2),(15244,4),(15245,9),(15246,7),(15247,2),(15248,4),(15249,7),(15250,8),(15251,8),(15252,8),(15253,8),(15254,3),(15255,7),(15256,3),(15257,4),(15258,5),(15259,4),(15260,2),(15261,8),(15262,9),(15263,5),(15264,4),(15265,9),(15266,9),(15267,6),(15268,9),(15269,2),(15270,2),(15271,7),(15272,8),(15273,7),(15274,8),(15275,7),(15276,4),(15277,1),(15278,6),(15279,5),(15280,7),(15281,7),(15282,9),(15283,4),(15284,3),(15285,1),(15286,2),(15287,2),(15288,5),(15289,5),(15290,5),(15291,5),(15292,4),(15293,3),(15294,3),(15295,8),(15296,3),(15297,5),(15298,9),(15299,5),(15300,6),(15301,5),(15302,7),(15303,4),(15304,6),(15305,8),(15306,4),(15307,9),(15308,8),(15309,5),(15310,3),(15311,4),(15312,1),(15313,4),(15314,4),(15315,1),(15316,6),(15317,6),(15318,1),(15319,9),(15320,9),(15321,6),(15322,5),(15323,9),(15324,6),(15325,6),(15326,8),(15327,6),(15328,2),(15329,9),(15330,9),(15331,7),(15332,3),(15333,3),(15334,4),(15335,1),(15336,8),(15337,1),(15338,9),(15339,8),(15340,3),(15341,5),(15342,2),(15343,7),(15344,9),(15345,8),(15346,4),(15347,1),(15348,1),(15349,3),(15350,6),(15351,8),(15352,5),(15353,9),(15354,1),(15355,8),(15356,1),(15357,7),(15358,6),(15359,7),(15360,7),(15361,3),(15362,1),(15363,2),(15364,7),(15365,4),(15366,2),(15367,2),(15368,8),(15369,6),(15370,4),(15371,8),(15372,9),(15373,6),(15374,4),(15375,6),(15376,8),(15377,8),(15378,7),(15379,7),(15380,6),(15381,3),(15382,2),(15383,4),(15384,2),(15385,4),(15386,3),(15387,9),(15388,4),(15389,6),(15390,2),(15391,3),(15392,3),(15393,1),(15394,2),(15395,5),(15396,2),(15397,4),(15398,7),(15399,2),(15400,8),(15401,8),(15402,8),(15403,9),(15404,4),(15405,6),(15406,8),(15407,4),(15408,2),(15409,1),(15410,3),(15411,3),(15412,4),(15413,7),(15414,9),(15415,8),(15416,8),(15417,9),(15418,3),(15419,6),(15420,9),(15421,4),(15422,4),(15423,3),(15424,9),(15425,7),(15426,8),(15427,3),(15428,6),(15429,7),(15430,5),(15431,4),(15432,5),(15433,3),(15434,8),(15435,1),(15436,5),(15437,1),(15438,9),(15439,5),(15440,7),(15441,6),(15442,9),(15443,5),(15444,2),(15445,5),(15446,1),(15447,3),(15448,1),(15449,7),(15450,1),(15451,2),(15452,9),(15453,7),(15454,3),(15455,1),(15456,6),(15457,9),(15458,3),(15459,7),(15460,7),(15461,8),(15462,4),(15463,3),(15464,4),(15465,3),(15466,8),(15467,3),(15468,2),(15469,4),(15470,5),(15471,2),(15472,2),(15473,9),(15474,3),(15475,9),(15476,6),(15477,6),(15478,6),(15479,4),(15480,4),(15481,3),(15482,1),(15483,1),(15484,7),(15485,1),(15486,8),(15487,5),(15488,4),(15489,4),(15490,4),(15491,1),(15492,8),(15493,4),(15494,2),(15495,4),(15496,9),(15497,5),(15498,3),(15499,7),(15500,2),(15501,5),(15502,4),(15503,7),(15504,4),(15505,8),(15506,6),(15507,7),(15508,3),(15509,7),(15510,8),(15511,3),(15512,4),(15513,4),(15514,6),(15515,6),(15516,9),(15517,9),(15518,9),(15519,4),(15520,6),(15521,8),(15522,8),(15523,3),(15524,3),(15525,4),(15526,6),(15527,9),(15528,7),(15529,8),(15530,7),(15531,6),(15532,5),(15533,5),(15534,6),(15535,6),(15536,6),(15537,3),(15538,4),(15539,8),(15540,7),(15541,3),(15542,2),(15543,6),(15544,5),(15545,6),(15546,1),(15547,4),(15548,8),(15549,7),(15550,5),(15551,6),(15552,9),(15553,7),(15554,9),(15555,5),(15556,3),(15557,8),(15558,8),(15559,7),(15560,9),(15561,6),(15562,9),(15563,3),(15564,1),(15565,6),(15566,6),(15567,2),(15568,2),(15569,1),(15570,7),(15571,5),(15572,9),(15573,8),(15574,6),(15575,4),(15576,2),(15577,8),(15578,9),(15579,5),(15580,2),(15581,4),(15582,8),(15583,3),(15584,2),(15585,4),(15586,1),(15587,9),(15588,2),(15589,6),(15590,6),(15591,1),(15592,3),(15593,2),(15594,7),(15595,3),(15596,5),(15597,4),(15598,7),(15599,4),(15600,8),(15601,1),(15602,6),(15603,5),(15604,2),(15605,8),(15606,5),(15607,2),(15608,4),(15609,4),(15610,4),(15611,4),(15612,7),(15613,6),(15614,1),(15615,6),(15616,1),(15617,8),(15618,9),(15619,6),(15620,2),(15621,1),(15622,7),(15623,2),(15624,4),(15625,6),(15626,6),(15627,8),(15628,2),(15629,8),(15630,5),(15631,9),(15632,7),(15633,5),(15634,5),(15635,7),(15636,1),(15637,7),(15638,6),(15639,1),(15640,5),(15641,2),(15642,9),(15643,9),(15644,7),(15645,6),(15646,5),(15647,5),(15648,5),(15649,8),(15650,1),(15651,3),(15652,5),(15653,4),(15654,8),(15655,7),(15656,7),(15657,3),(15658,6),(15659,4),(15660,1),(15661,8),(15662,5),(15663,5),(15664,9),(15665,1),(15666,9),(15667,5),(15668,7),(15669,1),(15670,8),(15671,4),(15672,1),(15673,2),(15674,2),(15675,1),(15676,6),(15677,5),(15678,6),(15679,2),(15680,6),(15681,7),(15682,3),(15683,6),(15684,5),(15685,6),(15686,2),(15687,2),(15688,8),(15689,1),(15690,5),(15691,8),(15692,3),(15693,1),(15694,3),(15695,6),(15696,1),(15697,2),(15698,6),(15699,1),(15700,7),(15701,2),(15702,6),(15703,4),(15704,3),(15705,2),(15706,8),(15707,9),(15708,4),(15709,1),(15710,7),(15711,7),(15712,7),(15713,6),(15714,4),(15715,8),(15716,3),(15717,8),(15718,6),(15719,7),(15720,2),(15721,9),(15722,3),(15723,8),(15724,7),(15725,1),(15726,2),(15727,7),(15728,4),(15729,9),(15730,7),(15731,5),(15732,6),(15733,6),(15734,5),(15735,3),(15736,3),(15737,2),(15738,6),(15739,9),(15740,4),(15741,8),(15742,9),(15743,2),(15744,4),(15745,8),(15746,2),(15747,6),(15748,8),(15749,9),(15750,2),(15751,5),(15752,4),(15753,2),(15754,6),(15755,6),(15756,8),(15757,9),(15758,9),(15759,7),(15760,2),(15761,3),(15762,5),(15763,3),(15764,9),(15765,6),(15766,2),(15767,4),(15768,4),(15769,8),(15770,7),(15771,8),(15772,7),(15773,2),(15774,6),(15775,9),(15776,7),(15777,5),(15778,2),(15779,8),(15780,7),(15781,9),(15782,2),(15783,5),(15784,1),(15785,4),(15786,9),(15787,8),(15788,9),(15789,7),(15790,9),(15791,3),(15792,3),(15793,6),(15794,6),(15795,4),(15796,4),(15797,8),(15798,9),(15799,4),(15800,7),(15801,6),(15802,3),(15803,6),(15804,4),(15805,8),(15806,9),(15807,7),(15808,1),(15809,8),(15810,4),(15811,1),(15812,4),(15813,8),(15814,4),(15815,6),(15816,2),(15817,5),(15818,9),(15819,1),(15820,5),(15821,7),(15822,3),(15823,5),(15824,1),(15825,3),(15826,6),(15827,1),(15828,3),(15829,6),(15830,8),(15831,4),(15832,3),(15833,6),(15834,8),(15835,3),(15836,6),(15837,5),(15838,6),(15839,8),(15840,4),(15841,5),(15842,3),(15843,7),(15844,6),(15845,2),(15846,6),(15847,6),(15848,8),(15849,9),(15850,9),(15851,7),(15852,5),(15853,1),(15854,4),(15855,5),(15856,4),(15857,6),(15858,1),(15859,2),(15860,7),(15861,6),(15862,3),(15863,5),(15864,6),(15865,9),(15866,6),(15867,8),(15868,7),(15869,1),(15870,6),(15871,8),(15872,7),(15873,4),(15874,4),(15875,3),(15876,4),(15877,7),(15878,7),(15879,3),(15880,4),(15881,7),(15882,8),(15883,3),(15884,7),(15885,7),(15886,3),(15887,7),(15888,9),(15889,3),(15890,1),(15891,7),(15892,9),(15893,2),(15894,9),(15895,5),(15896,4),(15897,1),(15898,6),(15899,4),(15900,1),(15901,6),(15902,9),(15903,4),(15904,4),(15905,3),(15906,3),(15907,5),(15908,7),(15909,1),(15910,6),(15911,4),(15912,4),(15913,1),(15914,1),(15915,7),(15916,9),(15917,9),(15918,7),(15919,5),(15920,2),(15921,4),(15922,2),(15923,6),(15924,3),(15925,4),(15926,8),(15927,9),(15928,4),(15929,3),(15930,8),(15931,9),(15932,5),(15933,4),(15934,6),(15935,2),(15936,7),(15937,7),(15938,3),(15939,5),(15940,5),(15941,1),(15942,9),(15943,8),(15944,4),(15945,8),(15946,3),(15947,7),(15948,7),(15949,5),(15950,2),(15951,5),(15952,5),(15953,1),(15954,2),(15955,5),(15956,1),(15957,7),(15958,2),(15959,5),(15960,3),(15961,9),(15962,6),(15963,4),(15964,9),(15965,5),(15966,5),(15967,4),(15968,2),(15969,6),(15970,3),(15971,8),(15972,7),(15973,3),(15974,5),(15975,5),(15976,2),(15977,4),(15978,4),(15979,8),(15980,9),(15981,4),(15982,8),(15983,7),(15984,3),(15985,8),(15986,5),(15987,8),(15988,5),(15989,9),(15990,4),(15991,3),(15992,4),(15993,2),(15994,5),(15995,6),(15996,7),(15997,1),(15998,6),(15999,1),(16000,4),(16001,1),(16002,2),(16003,8),(16004,9),(16005,8),(16006,7),(16007,2),(16008,2),(16009,1),(16010,5),(16011,5),(16012,3),(16013,7),(16014,2),(16015,4),(16016,1),(16017,7),(16018,1),(16019,6),(16020,8),(16021,8),(16022,7),(16023,2),(16024,6),(16025,1),(16026,3),(16027,5),(16028,8),(16029,9),(16030,5),(16031,9),(16032,2),(16033,1),(16034,7),(16035,9),(16036,8),(16037,3),(16038,8),(16039,2),(16040,7),(16041,2),(16042,1),(16043,1),(16044,6),(16045,5),(16046,4),(16047,5),(16048,2),(16049,4),(16050,3),(16051,2),(16052,3),(16053,9),(16054,7),(16055,8),(16056,6),(16057,1),(16058,9),(16059,8),(16060,3),(16061,9),(16062,4),(16063,5),(16064,5),(16065,4),(16066,5),(16067,8),(16068,8),(16069,9),(16070,6),(16071,2),(16072,2),(16073,6),(16074,7),(16075,9),(16076,2),(16077,5),(16078,4),(16079,5),(16080,3),(16081,8),(16082,5),(16083,9),(16084,9),(16085,7),(16086,1),(16087,7),(16088,8),(16089,3),(16090,6),(16091,5),(16092,8),(16093,1),(16094,7),(16095,8),(16096,9),(16097,4),(16098,2),(16099,5),(16100,6),(16101,4),(16102,6),(16103,3),(16104,4),(16105,3),(16106,4),(16107,5),(16108,4),(16109,2),(16110,8),(16111,9),(16112,8),(16113,2),(16114,3),(16115,1),(16116,6),(16117,4),(16118,8),(16119,7),(16120,9),(16121,3),(16122,7),(16123,5),(16124,8),(16125,5),(16126,2),(16127,6),(16128,3),(16129,3),(16130,3),(16131,5),(16132,7),(16133,7),(16134,1),(16135,8),(16136,8),(16137,8),(16138,2),(16139,2),(16140,8),(16141,5),(16142,6),(16143,8),(16144,9),(16145,4),(16146,2),(16147,8),(16148,1),(16149,2),(16150,7),(16151,7),(16152,5),(16153,4),(16154,4),(16155,4),(16156,3),(16157,8),(16158,4),(16159,2),(16160,3),(16161,5),(16162,9),(16163,1),(16164,1),(16165,7),(16166,1),(16167,1),(16168,1),(16169,6),(16170,5),(16171,2),(16172,4),(16173,3),(16174,5),(16175,5),(16176,1),(16177,6),(16178,7),(16179,1),(16180,4),(16181,4),(16182,4),(16183,2),(16184,3),(16185,8),(16186,7),(16187,7),(16188,3),(16189,3),(16190,1),(16191,4),(16192,5),(16193,9),(16194,1),(16195,9),(16196,2),(16197,7),(16198,2),(16199,7),(16200,9),(16201,7),(16202,1),(16203,2),(16204,2),(16205,5),(16206,2),(16207,2),(16208,5),(16209,8),(16210,8),(16211,2),(16212,8),(16213,5),(16214,6),(16215,2),(16216,4),(16217,1),(16218,1),(16219,7),(16220,3),(16221,3),(16222,2),(16223,4),(16224,8),(16225,4),(16226,4),(16227,4),(16228,7),(16229,7),(16230,4),(16231,7),(16232,3),(16233,2),(16234,9),(16235,1),(16236,4),(16237,2),(16238,5),(16239,3),(16240,9),(16241,9),(16242,2),(16243,3),(16244,9),(16245,7),(16246,5),(16247,4),(16248,2),(16249,9),(16250,6),(16251,9),(16252,6),(16253,4),(16254,9),(16255,9),(16256,6),(16257,7),(16258,4),(16259,7),(16260,7),(16261,7),(16262,5),(16263,3),(16264,5),(16265,6),(16266,1),(16267,5),(16268,4),(16269,1),(16270,3),(16271,7),(16272,6),(16273,1),(16274,2),(16275,8),(16276,1),(16277,7),(16278,2),(16279,1),(16280,1),(16281,8),(16282,9),(16283,7),(16284,7),(16285,6),(16286,8),(16287,3),(16288,5),(16289,2),(16290,6),(16291,7),(16292,8),(16293,4),(16294,5),(16295,2),(16296,1),(16297,1),(16298,8),(16299,1),(16300,4),(16301,4),(16302,1),(16303,2),(16304,7),(16305,6),(16306,7),(16307,7),(16308,4),(16309,9),(16310,3),(16311,2),(16312,5),(16313,5),(16314,1),(16315,7),(16316,7),(16317,5),(16318,2),(16319,8),(16320,8),(16321,5),(16322,8),(16323,7),(16324,9),(16325,9),(16326,9),(16327,9),(16328,5),(16329,3),(16330,2),(16331,8),(16332,7),(16333,1),(16334,9),(16335,8),(16336,9),(16337,3),(16338,4),(16339,8),(16340,8),(16341,2),(16342,4),(16343,7),(16344,2),(16345,7),(16346,3),(16347,5),(16348,5),(16349,3),(16350,8),(16351,1),(16352,9),(16353,9),(16354,2),(16355,7),(16356,9),(16357,9),(16358,5),(16359,9),(16360,3),(16361,3),(16362,5),(16363,5),(16364,8),(16365,7),(16366,5),(16367,9),(16368,4),(16369,1),(16370,6),(16371,5),(16372,8),(16373,2),(16374,2),(16375,5),(16376,1),(16377,9),(16378,7),(16379,1),(16380,9),(16381,6),(16382,5),(16383,5),(16384,8),(16385,5),(16386,7),(16387,6),(16388,5),(16389,2),(16390,9),(16391,1),(16392,7),(16393,5),(16394,2),(16395,2),(16396,5),(16397,7),(16398,5),(16399,7),(16400,6),(16401,5),(16402,7),(16403,9),(16404,4),(16405,7),(16406,3),(16407,8),(16408,7),(16409,3),(16410,2),(16411,4),(16412,9),(16413,9),(16414,8),(16415,9),(16416,2),(16417,7),(16418,1),(16419,8),(16420,7),(16421,6),(16422,5),(16423,5),(16424,3),(16425,5),(16426,4),(16427,9),(16428,4),(16429,1),(16430,8),(16431,6),(16432,3),(16433,3),(16434,5),(16435,9),(16436,3),(16437,2),(16438,5),(16439,6),(16440,7),(16441,6),(16442,2),(16443,3),(16444,4),(16445,2),(16446,1),(16447,3),(16448,4),(16449,7),(16450,5),(16451,9),(16452,4),(16453,5),(16454,5),(16455,9),(16456,3),(16457,5),(16458,8),(16459,1),(16460,7),(16461,1),(16462,6),(16463,6),(16464,1),(16465,8),(16466,6),(16467,8),(16468,9),(16469,7),(16470,4),(16471,2),(16472,3),(16473,4),(16474,1),(16475,9),(16476,7),(16477,5),(16478,5),(16479,6),(16480,8),(16481,6),(16482,3),(16483,9),(16484,7),(16485,8),(16486,5),(16487,9),(16488,6),(16489,8),(16490,9),(16491,5),(16492,4),(16493,6),(16494,5),(16495,3),(16496,8),(16497,6),(16498,6),(16499,8),(16500,5),(16501,4),(16502,6),(16503,7),(16504,6),(16505,6),(16506,8),(16507,5),(16508,2),(16509,6),(16510,9),(16511,3),(16512,2),(16513,3),(16514,7),(16515,9),(16516,4),(16517,9),(16518,8),(16519,1),(16520,3),(16521,7),(16522,6),(16523,5),(16524,2),(16525,7),(16526,8),(16527,6),(16528,5),(16529,7),(16530,6),(16531,3),(16532,4),(16533,9),(16534,2),(16535,9),(16536,5),(16537,3),(16538,6),(16539,6),(16540,9),(16541,7),(16542,4),(16543,2),(16544,2),(16545,9),(16546,8),(16547,7),(16548,8),(16549,3),(16550,7),(16551,7),(16552,8),(16553,4),(16554,2),(16555,7),(16556,5),(16557,1),(16558,1),(16559,7),(16560,8),(16561,2),(16562,7),(16563,3),(16564,8),(16565,3),(16566,6),(16567,8),(16568,1),(16569,8),(16570,4),(16571,3),(16572,5),(16573,6),(16574,2),(16575,9),(16576,2),(16577,7),(16578,9),(16579,1),(16580,8),(16581,5),(16582,2),(16583,5),(16584,8),(16585,1),(16586,3),(16587,9),(16588,8),(16589,2),(16590,5),(16591,8),(16592,8),(16593,6),(16594,1),(16595,8),(16596,9),(16597,4),(16598,6),(16599,1),(16600,9),(16601,5),(16602,2),(16603,3),(16604,1),(16605,3),(16606,4),(16607,9),(16608,9),(16609,8),(16610,4),(16611,2),(16612,7),(16613,5),(16614,5),(16615,2),(16616,3),(16617,6),(16618,5),(16619,2),(16620,7),(16621,7),(16622,9),(16623,4),(16624,2),(16625,8),(16626,2),(16627,9),(16628,1),(16629,8),(16630,1),(16631,5),(16632,8),(16633,2),(16634,5),(16635,7),(16636,9),(16637,8),(16638,9),(16639,1),(16640,7),(16641,5),(16642,8),(16643,6),(16644,3),(16645,3),(16646,3),(16647,6),(16648,7),(16649,5),(16650,3),(16651,2),(16652,2),(16653,2),(16654,6),(16655,8),(16656,5),(16657,2),(16658,9),(16659,2),(16660,7),(16661,8),(16662,4),(16663,2),(16664,2),(16665,6),(16666,6),(16667,9),(16668,8),(16669,9),(16670,2),(16671,4),(16672,6),(16673,5),(16674,6),(16675,8),(16676,5),(16677,3),(16678,5),(16679,2),(16680,5),(16681,6),(16682,8),(16683,6),(16684,5),(16685,4),(16686,7),(16687,3),(16688,3),(16689,2),(16690,4),(16691,7),(16692,7),(16693,7),(16694,3),(16695,9),(16696,7),(16697,5),(16698,5),(16699,8),(16700,9),(16701,3),(16702,1),(16703,4),(16704,6),(16705,5),(16706,3),(16707,6),(16708,5),(16709,6),(16710,5),(16711,3),(16712,6),(16713,3),(16714,7),(16715,2),(16716,3),(16717,9),(16718,4),(16719,5),(16720,1),(16721,7),(16722,1),(16723,5),(16724,6),(16725,5),(16726,1),(16727,6),(16728,2),(16729,5),(16730,6),(16731,8),(16732,8),(16733,5),(16734,7),(16735,7),(16736,4),(16737,8),(16738,6),(16739,4),(16740,1),(16741,7),(16742,1),(16743,7),(16744,4),(16745,2),(16746,6),(16747,9),(16748,4),(16749,8),(16750,4),(16751,2),(16752,4),(16753,7),(16754,4),(16755,6),(16756,6),(16757,7),(16758,9),(16759,9),(16760,6),(16761,2),(16762,3),(16763,4),(16764,9),(16765,3),(16766,5),(16767,2),(16768,2),(16769,4),(16770,3),(16771,5),(16772,1),(16773,2),(16774,2),(16775,8),(16776,4),(16777,6),(16778,7),(16779,4),(16780,9),(16781,4),(16782,5),(16783,6),(16784,4),(16785,6),(16786,1),(16787,4),(16788,5),(16789,5),(16790,1),(16791,8),(16792,2),(16793,1),(16794,9),(16795,6),(16796,5),(16797,3),(16798,6),(16799,2),(16800,5),(16801,7),(16802,5),(16803,4),(16804,4),(16805,1),(16806,9),(16807,9),(16808,4),(16809,6),(16810,4),(16811,5),(16812,4),(16813,5),(16814,2),(16815,1),(16816,1),(16817,7),(16818,9),(16819,2),(16820,9),(16821,4),(16822,4),(16823,3),(16824,7),(16825,9),(16826,1),(16827,6),(16828,3),(16829,2),(16830,7),(16831,2),(16832,6),(16833,5),(16834,2),(16835,6),(16836,6),(16837,9),(16838,5),(16839,7),(16840,2),(16841,6),(16842,3),(16843,8),(16844,1),(16845,4),(16846,8),(16847,7),(16848,8),(16849,8),(16850,4),(16851,4),(16852,7),(16853,2),(16854,5),(16855,7),(16856,6),(16857,4),(16858,8),(16859,9),(16860,7),(16861,7),(16862,4),(16863,1),(16864,6),(16865,9),(16866,3),(16867,7),(16868,2),(16869,3),(16870,5),(16871,1),(16872,8),(16873,1),(16874,1),(16875,8),(16876,3),(16877,7),(16878,7),(16879,2),(16880,8),(16881,5),(16882,6),(16883,2),(16884,1),(16885,4),(16886,9),(16887,7),(16888,6),(16889,4),(16890,2),(16891,5),(16892,9),(16893,3),(16894,7),(16895,1),(16896,4),(16897,7),(16898,4),(16899,6),(16900,2),(16901,6),(16902,5),(16903,3),(16904,2),(16905,8),(16906,9),(16907,3),(16908,1),(16909,5),(16910,9),(16911,5),(16912,6),(16913,9),(16914,7),(16915,9),(16916,3),(16917,3),(16918,2),(16919,1),(16920,8),(16921,9),(16922,9),(16923,6),(16924,8),(16925,3),(16926,8),(16927,7),(16928,6),(16929,6),(16930,1),(16931,5),(16932,6),(16933,6),(16934,1),(16935,9),(16936,6),(16937,4),(16938,2),(16939,3),(16940,5),(16941,4),(16942,4),(16943,3),(16944,7),(16945,2),(16946,3),(16947,9),(16948,5),(16949,3),(16950,2),(16951,1),(16952,1),(16953,2),(16954,7),(16955,7),(16956,2),(16957,8),(16958,2),(16959,4),(16960,3),(16961,7),(16962,9),(16963,1),(16964,1),(16965,3),(16966,6),(16967,2),(16968,8),(16969,5),(16970,8),(16971,1),(16972,7),(16973,5),(16974,1),(16975,1),(16976,3),(16977,9),(16978,6),(16979,5),(16980,1),(16981,5),(16982,1),(16983,3),(16984,5),(16985,5),(16986,1),(16987,1),(16988,3),(16989,5),(16990,8),(16991,7),(16992,4),(16993,2),(16994,6),(16995,6),(16996,1),(16997,5),(16998,6),(16999,6),(17000,5),(17001,7),(17002,2),(17003,9),(17004,5),(17005,4),(17006,4),(17007,1),(17008,1),(17009,6),(17010,8),(17011,4),(17012,1),(17013,5),(17014,5),(17015,1),(17016,6),(17017,4),(17018,5),(17019,4),(17020,9),(17021,1),(17022,8),(17023,5),(17024,3),(17025,6),(17026,4),(17027,1),(17028,8),(17029,6),(17030,8),(17031,2),(17032,7),(17033,5),(17034,9),(17035,5),(17036,6),(17037,5),(17038,4),(17039,8),(17040,1),(17041,6),(17042,1),(17043,6),(17044,9),(17045,5),(17046,1),(17047,6),(17048,8),(17049,2),(17050,4),(17051,4),(17052,7),(17053,3),(17054,3),(17055,6),(17056,3),(17057,9),(17058,4),(17059,9),(17060,4),(17061,9),(17062,3),(17063,6),(17064,4),(17065,9),(17066,2),(17067,1),(17068,3),(17069,9),(17070,3),(17071,9),(17072,4),(17073,3),(17074,3),(17075,1),(17076,1),(17077,3),(17078,1),(17079,4),(17080,1),(17081,6),(17082,2),(17083,6),(17084,5),(17085,1),(17086,4),(17087,1),(17088,8),(17089,7),(17090,9),(17091,5),(17092,6),(17093,8),(17094,3),(17095,8),(17096,3),(17097,2),(17098,1),(17099,6),(17100,5),(17101,2),(17102,1),(17103,9),(17104,9),(17105,3),(17106,9),(17107,9),(17108,9),(17109,4),(17110,4),(17111,8),(17112,9),(17113,4),(17114,1),(17115,8),(17116,9),(17117,6),(17118,4),(17119,8),(17120,2),(17121,2),(17122,9),(17123,6),(17124,8),(17125,2),(17126,5),(17127,1),(17128,8),(17129,5),(17130,5),(17131,2),(17132,5),(17133,7),(17134,4),(17135,1),(17136,8),(17137,9),(17138,4),(17139,3),(17140,2),(17141,8),(17142,6),(17143,1),(17144,7),(17145,7),(17146,4),(17147,1),(17148,4),(17149,8),(17150,8),(17151,9),(17152,8),(17153,8),(17154,2),(17155,9),(17156,3),(17157,4),(17158,8),(17159,6),(17160,9),(17161,3),(17162,7),(17163,4),(17164,4),(17165,5),(17166,1),(17167,3),(17168,7),(17169,2),(17170,3),(17171,7),(17172,3),(17173,9),(17174,8),(17175,7),(17176,7),(17177,7),(17178,9),(17179,3),(17180,9),(17181,1),(17182,4),(17183,1),(17184,3),(17185,9),(17186,6),(17187,8),(17188,9),(17189,1),(17190,5),(17191,3),(17192,6),(17193,8),(17194,9),(17195,7),(17196,3),(17197,3),(17198,8),(17199,1),(17200,6),(17201,8),(17202,4),(17203,6),(17204,1),(17205,3),(17206,3),(17207,6),(17208,6),(17209,9),(17210,6),(17211,9),(17212,2),(17213,9),(17214,9),(17215,6),(17216,3),(17217,9),(17218,4),(17219,1),(17220,1),(17221,4),(17222,1),(17223,9),(17224,9),(17225,2),(17226,7),(17227,8),(17228,4),(17229,9),(17230,4),(17231,2),(17232,1),(17233,9),(17234,3),(17235,5),(17236,1),(17237,9),(17238,2),(17239,9),(17240,7),(17241,6),(17242,5),(17243,1),(17244,9),(17245,3),(17246,3),(17247,6),(17248,5),(17249,3),(17250,5),(17251,9),(17252,3),(17253,8),(17254,4),(17255,3),(17256,9),(17257,7),(17258,6),(17259,6),(17260,1),(17261,4),(17262,8),(17263,2),(17264,5),(17265,9),(17266,1),(17267,2),(17268,6),(17269,8),(17270,9),(17271,3),(17272,6),(17273,7),(17274,5),(17275,5),(17276,2),(17277,5),(17278,7),(17279,3),(17280,8),(17281,1),(17282,9),(17283,6),(17284,5),(17285,5),(17286,7),(17287,7),(17288,9),(17289,2),(17290,5),(17291,2),(17292,4),(17293,7),(17294,9),(17295,5),(17296,3),(17297,5),(17298,3),(17299,4),(17300,5),(17301,1),(17302,3),(17303,9),(17304,1),(17305,8),(17306,1),(17307,7),(17308,8),(17309,8),(17310,4),(17311,4),(17312,6),(17313,8),(17314,6),(17315,6),(17316,9),(17317,2),(17318,7),(17319,5),(17320,2),(17321,1),(17322,6),(17323,5),(17324,4),(17325,9),(17326,3),(17327,5),(17328,7),(17329,1),(17330,8),(17331,5),(17332,5),(17333,2),(17334,8),(17335,1),(17336,3),(17337,8),(17338,7),(17339,6),(17340,9),(17341,7),(17342,4),(17343,1),(17344,2),(17345,9),(17346,4),(17347,8),(17348,3),(17349,9),(17350,5),(17351,8),(17352,9),(17353,9),(17354,9),(17355,5),(17356,2),(17357,7),(17358,1),(17359,8),(17360,9),(17361,4),(17362,8),(17363,3),(17364,1),(17365,1),(17366,5),(17367,8),(17368,7),(17369,9),(17370,4),(17371,5),(17372,6),(17373,2),(17374,3),(17375,6),(17376,5),(17377,7),(17378,9),(17379,2),(17380,4),(17381,8),(17382,2),(17383,1),(17384,9),(17385,8),(17386,1),(17387,4),(17388,5),(17389,2),(17390,7),(17391,8),(17392,6),(17393,1),(17394,8),(17395,5),(17396,8),(17397,5),(17398,9),(17399,3),(17400,9),(17401,4),(17402,3),(17403,5),(17404,7),(17405,3),(17406,1),(17407,6),(17408,7),(17409,1),(17410,5),(17411,1),(17412,9),(17413,2),(17414,1),(17415,2),(17416,5),(17417,1),(17418,9),(17419,5),(17420,7),(17421,8),(17422,7),(17423,6),(17424,9),(17425,4),(17426,5),(17427,2),(17428,8),(17429,2),(17430,4),(17431,7),(17432,1),(17433,5),(17434,3),(17435,2),(17436,1),(17437,3),(17438,4),(17439,4),(17440,5),(17441,9),(17442,4),(17443,4),(17444,6),(17445,9),(17446,5),(17447,7),(17448,7),(17449,4),(17450,9),(17451,1),(17452,6),(17453,4),(17454,3),(17455,9),(17456,3),(17457,9),(17458,9),(17459,2),(17460,9),(17461,1),(17462,7),(17463,7),(17464,6),(17465,2),(17466,9),(17467,6),(17468,2),(17469,6),(17470,8),(17471,4),(17472,1),(17473,4),(17474,3),(17475,7),(17476,5),(17477,2),(17478,7),(17479,9),(17480,5),(17481,3),(17482,5),(17483,1),(17484,3),(17485,5),(17486,8),(17487,8),(17488,1),(17489,3),(17490,1),(17491,9),(17492,9),(17493,7),(17494,3),(17495,8),(17496,2),(17497,4),(17498,2),(17499,1),(17500,5),(17501,5),(17502,1),(17503,6),(17504,9),(17505,6),(17506,4),(17507,7),(17508,3),(17509,8),(17510,1),(17511,8),(17512,1),(17513,4),(17514,1),(17515,2),(17516,6),(17517,7),(17518,9),(17519,5),(17520,8),(17521,6),(17522,7),(17523,6),(17524,2),(17525,9),(17526,7),(17527,2),(17528,8),(17529,7),(17530,3),(17531,3),(17532,9),(17533,1),(17534,1),(17535,5),(17536,4),(17537,2),(17538,9),(17539,5),(17540,5),(17541,7),(17542,7),(17543,7),(17544,5),(17545,1),(17546,3),(17547,1),(17548,3),(17549,5),(17550,1),(17551,1),(17552,3),(17553,7),(17554,8),(17555,9),(17556,1),(17557,9),(17558,4),(17559,4),(17560,5),(17561,6),(17562,6),(17563,9),(17564,9),(17565,9),(17566,8),(17567,8),(17568,6),(17569,1),(17570,8),(17571,1),(17572,1),(17573,3),(17574,7),(17575,5),(17576,8),(17577,7),(17578,1),(17579,7),(17580,4),(17581,7),(17582,6),(17583,2),(17584,6),(17585,4),(17586,5),(17587,8),(17588,3),(17589,4),(17590,9),(17591,4),(17592,6),(17593,4),(17594,1),(17595,6),(17596,2),(17597,4),(17598,6),(17599,9),(17600,1),(17601,7),(17602,1),(17603,9),(17604,8),(17605,6),(17606,8),(17607,8),(17608,8),(17609,5),(17610,7),(17611,4),(17612,9),(17613,1),(17614,5),(17615,8),(17616,6),(17617,9),(17618,4),(17619,2),(17620,9),(17621,9),(17622,7),(17623,7),(17624,1),(17625,4),(17626,7),(17627,5),(17628,1),(17629,5),(17630,8),(17631,5),(17632,8),(17633,4),(17634,7),(17635,1),(17636,3),(17637,5),(17638,5),(17639,3),(17640,3),(17641,7),(17642,9),(17643,5),(17644,4),(17645,4),(17646,6),(17647,4),(17648,4),(17649,5),(17650,2),(17651,8),(17652,7),(17653,1),(17654,6),(17655,7),(17656,7),(17657,2),(17658,7),(17659,3),(17660,8),(17661,5),(17662,4),(17663,7),(17664,4),(17665,2),(17666,1),(17667,1),(17668,6),(17669,1),(17670,1),(17671,1),(17672,2),(17673,9),(17674,4),(17675,6),(17676,5),(17677,1),(17678,1),(17679,5),(17680,7),(17681,6),(17682,4),(17683,8),(17684,4),(17685,9),(17686,3),(17687,1),(17688,6),(17689,2),(17690,8),(17691,8),(17692,4),(17693,6),(17694,5),(17695,3),(17696,8),(17697,9),(17698,8),(17699,4),(17700,5),(17701,8),(17702,1),(17703,6),(17704,9),(17705,9),(17706,2),(17707,8),(17708,9),(17709,6),(17710,5),(17711,3),(17712,1),(17713,4),(17714,7),(17715,5),(17716,8),(17717,3),(17718,2),(17719,8),(17720,8),(17721,8),(17722,1),(17723,9),(17724,7),(17725,3),(17726,6),(17727,3),(17728,7),(17729,4),(17730,7),(17731,7),(17732,2),(17733,3),(17734,3),(17735,9),(17736,1),(17737,5),(17738,4),(17739,7),(17740,9),(17741,7),(17742,4),(17743,2),(17744,1),(17745,2),(17746,3),(17747,4),(17748,1),(17749,8),(17750,2),(17751,7),(17752,1),(17753,7),(17754,2),(17755,2),(17756,4),(17757,4),(17758,3),(17759,1),(17760,4),(17761,2),(17762,1),(17763,1),(17764,6),(17765,5),(17766,1),(17767,2),(17768,7),(17769,2),(17770,2),(17771,9),(17772,2),(17773,4),(17774,4),(17775,8),(17776,4),(17777,5),(17778,9),(17779,4),(17780,2),(17781,4),(17782,6),(17783,3),(17784,6),(17785,8),(17786,6),(17787,8),(17788,7),(17789,4),(17790,2),(17791,4),(17792,2),(17793,5),(17794,3),(17795,1),(17796,3),(17797,7),(17798,3),(17799,6),(17800,1),(17801,2),(17802,1),(17803,8),(17804,4),(17805,1),(17806,3),(17807,4),(17808,6),(17809,3),(17810,9),(17811,1),(17812,1),(17813,6),(17814,7),(17815,5),(17816,2),(17817,8),(17818,1),(17819,1),(17820,2),(17821,2),(17822,6),(17823,9),(17824,9),(17825,5),(17826,9),(17827,1),(17828,1),(17829,3),(17830,3),(17831,6),(17832,8),(17833,7),(17834,3),(17835,8),(17836,7),(17837,9),(17838,6),(17839,5),(17840,5),(17841,8),(17842,8),(17843,5),(17844,5),(17845,6),(17846,1),(17847,5),(17848,3),(17849,9),(17850,5),(17851,5),(17852,1),(17853,7),(17854,1),(17855,8),(17856,9),(17857,8),(17858,4),(17859,1),(17860,8),(17861,4),(17862,3),(17863,9),(17864,7),(17865,5),(17866,3),(17867,4),(17868,4),(17869,1),(17870,8),(17871,2),(17872,6),(17873,2),(17874,4),(17875,2),(17876,9),(17877,8),(17878,1),(17879,6),(17880,6),(17881,7),(17882,5),(17883,7),(17884,7),(17885,1),(17886,4),(17887,6),(17888,7),(17889,9),(17890,7),(17891,1),(17892,7),(17893,5),(17894,1),(17895,3),(17896,6),(17897,3),(17898,9),(17899,2),(17900,2),(17901,6),(17902,5),(17903,8),(17904,9),(17905,6),(17906,2),(17907,3),(17908,6),(17909,5),(17910,3),(17911,2),(17912,3),(17913,7),(17914,4),(17915,1),(17916,3),(17917,9),(17918,6),(17919,2),(17920,6),(17921,8),(17922,7),(17923,3),(17924,4),(17925,7),(17926,6),(17927,1),(17928,3),(17929,6),(17930,8),(17931,6),(17932,2),(17933,1),(17934,1),(17935,4),(17936,1),(17937,1),(17938,7),(17939,9),(17940,7),(17941,8),(17942,2),(17943,9),(17944,4),(17945,4),(17946,6),(17947,1),(17948,2),(17949,2),(17950,6),(17951,4),(17952,9),(17953,1),(17954,9),(17955,5),(17956,2),(17957,5),(17958,6),(17959,8),(17960,1),(17961,3),(17962,9),(17963,3),(17964,4),(17965,5),(17966,9),(17967,4),(17968,9),(17969,5),(17970,8),(17971,4),(17972,3),(17973,4),(17974,9),(17975,5),(17976,4),(17977,3),(17978,9),(17979,6),(17980,9),(17981,6),(17982,1),(17983,6),(17984,3),(17985,5),(17986,4),(17987,5),(17988,9),(17989,3),(17990,2),(17991,9),(17992,3),(17993,9),(17994,1),(17995,6),(17996,9),(17997,3),(17998,6),(17999,3),(18000,9),(18001,3),(18002,8),(18003,5),(18004,6),(18005,4),(18006,9),(18007,7),(18008,2),(18009,6),(18010,1),(18011,2),(18012,7),(18013,4),(18014,6),(18015,9),(18016,4),(18017,6),(18018,3),(18019,9),(18020,3),(18021,3),(18022,1),(18023,1),(18024,6),(18025,5),(18026,5),(18027,9),(18028,3),(18029,2),(18030,8),(18031,2),(18032,8),(18033,3),(18034,1),(18035,6),(18036,9),(18037,4),(18038,4),(18039,5),(18040,5),(18041,5),(18042,5),(18043,9),(18044,7),(18045,5),(18046,9),(18047,8),(18048,8),(18049,9),(18050,6),(18051,9),(18052,2),(18053,4),(18054,5),(18055,2),(18056,1),(18057,4),(18058,1),(18059,7),(18060,7),(18061,6),(18062,9),(18063,1),(18064,1),(18065,8),(18066,2),(18067,9),(18068,8),(18069,1),(18070,4),(18071,8),(18072,1),(18073,2),(18074,2),(18075,4),(18076,4),(18077,8),(18078,3),(18079,1),(18080,1),(18081,5),(18082,6),(18083,8),(18084,6),(18085,8),(18086,9),(18087,8),(18088,2),(18089,8),(18090,4),(18091,4),(18092,1),(18093,1),(18094,4),(18095,8),(18096,1),(18097,7),(18098,4),(18099,4),(18100,9),(18101,6),(18102,2),(18103,1),(18104,1),(18105,7),(18106,2),(18107,7),(18108,5),(18109,8),(18110,6),(18111,1),(18112,2),(18113,5),(18114,7),(18115,5),(18116,3),(18117,2),(18118,5),(18119,6),(18120,6),(18121,8),(18122,3),(18123,2),(18124,5),(18125,1),(18126,2),(18127,8),(18128,9),(18129,1),(18130,6),(18131,5),(18132,6),(18133,7),(18134,7),(18135,2),(18136,7),(18137,1),(18138,2),(18139,8),(18140,7),(18141,8),(18142,3),(18143,8),(18144,9),(18145,9),(18146,9),(18147,3),(18148,4),(18149,9),(18150,1),(18151,6),(18152,8),(18153,3),(18154,6),(18155,3),(18156,6),(18157,1),(18158,3),(18159,7),(18160,4),(18161,8),(18162,4),(18163,5),(18164,2),(18165,1),(18166,2),(18167,4),(18168,9),(18169,4),(18170,4),(18171,2),(18172,2),(18173,9),(18174,7),(18175,5),(18176,3),(18177,6),(18178,9),(18179,6),(18180,1),(18181,5),(18182,6),(18183,7),(18184,3),(18185,8),(18186,8),(18187,5),(18188,6),(18189,4),(18190,4),(18191,9),(18192,9),(18193,3),(18194,6),(18195,8),(18196,3),(18197,2),(18198,4),(18199,3),(18200,5),(18201,1),(18202,9),(18203,7),(18204,6),(18205,5),(18206,3),(18207,7),(18208,2),(18209,3),(18210,2),(18211,8),(18212,7),(18213,6),(18214,3),(18215,9),(18216,4),(18217,1),(18218,2),(18219,8),(18220,1),(18221,6),(18222,2),(18223,9),(18224,3),(18225,1),(18226,7),(18227,1),(18228,8),(18229,1),(18230,5),(18231,9),(18232,1),(18233,5),(18234,9),(18235,9),(18236,7),(18237,8),(18238,7),(18239,2),(18240,6),(18241,9),(18242,9),(18243,6),(18244,5),(18245,6),(18246,2),(18247,3),(18248,4),(18249,9),(18250,1),(18251,6),(18252,5),(18253,8),(18254,7),(18255,2),(18256,5),(18257,3),(18258,2),(18259,7),(18260,8),(18261,4),(18262,3),(18263,2),(18264,6),(18265,2),(18266,7),(18267,1),(18268,1),(18269,2),(18270,1),(18271,4),(18272,7),(18273,5),(18274,2),(18275,3),(18276,3),(18277,7),(18278,1),(18279,9),(18280,2),(18281,8),(18282,4),(18283,7),(18284,6),(18285,9),(18286,6),(18287,1),(18288,9),(18289,1),(18290,1),(18291,5),(18292,2),(18293,9),(18294,8),(18295,5),(18296,1),(18297,5),(18298,3),(18299,1),(18300,8),(18301,1),(18302,8),(18303,3),(18304,5),(18305,7),(18306,7),(18307,7),(18308,2),(18309,2),(18310,7),(18311,9),(18312,2),(18313,1),(18314,1),(18315,3),(18316,5),(18317,1),(18318,8),(18319,3),(18320,8),(18321,3),(18322,6),(18323,2),(18324,6),(18325,8),(18326,8),(18327,2),(18328,4),(18329,5),(18330,5),(18331,1),(18332,8),(18333,4),(18334,4),(18335,4),(18336,4),(18337,7),(18338,2),(18339,1),(18340,2),(18341,3),(18342,1),(18343,3),(18344,6),(18345,2),(18346,5),(18347,9),(18348,4),(18349,2),(18350,1),(18351,1),(18352,9),(18353,9),(18354,4),(18355,3),(18356,1),(18357,6),(18358,2),(18359,5),(18360,4),(18361,1),(18362,3),(18363,9),(18364,6),(18365,9),(18366,4),(18367,7),(18368,7),(18369,1),(18370,8),(18371,8),(18372,5),(18373,2),(18374,7),(18375,3),(18376,8),(18377,2),(18378,3),(18379,7),(18380,4),(18381,1),(18382,2),(18383,7),(18384,2),(18385,5),(18386,5),(18387,3),(18388,6),(18389,6),(18390,6),(18391,7),(18392,3),(18393,3),(18394,2),(18395,6),(18396,4),(18397,4),(18398,7),(18399,3),(18400,1),(18401,4),(18402,5),(18403,4),(18404,7),(18405,5),(18406,1),(18407,7),(18408,7),(18409,2),(18410,2),(18411,3),(18412,6),(18413,7),(18414,7),(18415,9),(18416,7),(18417,7),(18418,5),(18419,8),(18420,1),(18421,4),(18422,5),(18423,5),(18424,4),(18425,1),(18426,2),(18427,9),(18428,7),(18429,3),(18430,9),(18431,4),(18432,4),(18433,8),(18434,8),(18435,8),(18436,4),(18437,5),(18438,8),(18439,3),(18440,5),(18441,6),(18442,5),(18443,5),(18444,2),(18445,1),(18446,1),(18447,2),(18448,5),(18449,8),(18450,1),(18451,5),(18452,2),(18453,1),(18454,7),(18455,2),(18456,4),(18457,6),(18458,2),(18459,5),(18460,4),(18461,6),(18462,7),(18463,8),(18464,7),(18465,4),(18466,3),(18467,8),(18468,7),(18469,7),(18470,7),(18471,9),(18472,7),(18473,8),(18474,4),(18475,2),(18476,5),(18477,4),(18478,1),(18479,5),(18480,1),(18481,9),(18482,5),(18483,7),(18484,7),(18485,5),(18486,2),(18487,8),(18488,9),(18489,6),(18490,6),(18491,1),(18492,4),(18493,4),(18494,6),(18495,4),(18496,5),(18497,2),(18498,9),(18499,5),(18500,4),(18501,3),(18502,1),(18503,6),(18504,4),(18505,3),(18506,6),(18507,8),(18508,3),(18509,7),(18510,6),(18511,5),(18512,4),(18513,6),(18514,3),(18515,7),(18516,7),(18517,9),(18518,4),(18519,3),(18520,2),(18521,5),(18522,2),(18523,7),(18524,4),(18525,4),(18526,6),(18527,2),(18528,8),(18529,1),(18530,9),(18531,1),(18532,9),(18533,2),(18534,4),(18535,3),(18536,5),(18537,3),(18538,8),(18539,9),(18540,4),(18541,3),(18542,3),(18543,2),(18544,9),(18545,7),(18546,4),(18547,8),(18548,9),(18549,2),(18550,3),(18551,3),(18552,5),(18553,5),(18554,1),(18555,9),(18556,3),(18557,4),(18558,7),(18559,3),(18560,6),(18561,7),(18562,7),(18563,9),(18564,1),(18565,1),(18566,1),(18567,5),(18568,5),(18569,8),(18570,4),(18571,6),(18572,1),(18573,6),(18574,1),(18575,9),(18576,3),(18577,2),(18578,9),(18579,8),(18580,6),(18581,4),(18582,3),(18583,4),(18584,4),(18585,7),(18586,5),(18587,7),(18588,7),(18589,8),(18590,4),(18591,2),(18592,6),(18593,5),(18594,2),(18595,2),(18596,2),(18597,1),(18598,6),(18599,8),(18600,1),(18601,8),(18602,2),(18603,2),(18604,2),(18605,4),(18606,9),(18607,7),(18608,6),(18609,5),(18610,2),(18611,7),(18612,7),(18613,9),(18614,2),(18615,9),(18616,2),(18617,5),(18618,5),(18619,8),(18620,8),(18621,1),(18622,2),(18623,6),(18624,3),(18625,2),(18626,4),(18627,9),(18628,4),(18629,4),(18630,8),(18631,4),(18632,1),(18633,5),(18634,4),(18635,3),(18636,3),(18637,7),(18638,9),(18639,1),(18640,9),(18641,7),(18642,2),(18643,1),(18644,6),(18645,5),(18646,5),(18647,7),(18648,3),(18649,9),(18650,1),(18651,6),(18652,5),(18653,7),(18654,9),(18655,1),(18656,2),(18657,5),(18658,3),(18659,9),(18660,3),(18661,2),(18662,5),(18663,1),(18664,7),(18665,5),(18666,9),(18667,1),(18668,7),(18669,9),(18670,4),(18671,5),(18672,2),(18673,9),(18674,8),(18675,9),(18676,1),(18677,2),(18678,4),(18679,9),(18680,3),(18681,5),(18682,1),(18683,1),(18684,4),(18685,8),(18686,5),(18687,2),(18688,5),(18689,2),(18690,2),(18691,3),(18692,1),(18693,8),(18694,6),(18695,9),(18696,9),(18697,8),(18698,4),(18699,1),(18700,5),(18701,7),(18702,7),(18703,9),(18704,3),(18705,4),(18706,5),(18707,6),(18708,5),(18709,8),(18710,8),(18711,1),(18712,3),(18713,9),(18714,4),(18715,4),(18716,4),(18717,2),(18718,9),(18719,3),(18720,5),(18721,1),(18722,3),(18723,3),(18724,5),(18725,3),(18726,8),(18727,4),(18728,4),(18729,4),(18730,7),(18731,4),(18732,2),(18733,9),(18734,5),(18735,5),(18736,1),(18737,7),(18738,9),(18739,1),(18740,9),(18741,4),(18742,6),(18743,6),(18744,9),(18745,1),(18746,7),(18747,4),(18748,7),(18749,5),(18750,1),(18751,3),(18752,6),(18753,6),(18754,7),(18755,4),(18756,8),(18757,6),(18758,3),(18759,5),(18760,5),(18761,6),(18762,8),(18763,5),(18764,8),(18765,3),(18766,8),(18767,3),(18768,7),(18769,9),(18770,5),(18771,9),(18772,1),(18773,5),(18774,9),(18775,7),(18776,6),(18777,8),(18778,6),(18779,2),(18780,8),(18781,2),(18782,7),(18783,4),(18784,9),(18785,1),(18786,3),(18787,4),(18788,3),(18789,2),(18790,5),(18791,3),(18792,2),(18793,1),(18794,1),(18795,5),(18796,9),(18797,6),(18798,2),(18799,4),(18800,8),(18801,2),(18802,6),(18803,8),(18804,8),(18805,4),(18806,7),(18807,7),(18808,4),(18809,2),(18810,9),(18811,4),(18812,4),(18813,8),(18814,2),(18815,6),(18816,5),(18817,8),(18818,3),(18819,4),(18820,2),(18821,1),(18822,3),(18823,5),(18824,2),(18825,9),(18826,2),(18827,4),(18828,7),(18829,8),(18830,7),(18831,2),(18832,9),(18833,3),(18834,5),(18835,2),(18836,6),(18837,5),(18838,9),(18839,7),(18840,1),(18841,5),(18842,2),(18843,5),(18844,6),(18845,6),(18846,1),(18847,7),(18848,4),(18849,8),(18850,5),(18851,5),(18852,5),(18853,6),(18854,6),(18855,2),(18856,3),(18857,1),(18858,2),(18859,2),(18860,9),(18861,9),(18862,2),(18863,7),(18864,1),(18865,7),(18866,6),(18867,8),(18868,4),(18869,9),(18870,2),(18871,7),(18872,9),(18873,6),(18874,3),(18875,9),(18876,2),(18877,6),(18878,7),(18879,4),(18880,9),(18881,8),(18882,3),(18883,4),(18884,4),(18885,7),(18886,4),(18887,3),(18888,8),(18889,3),(18890,7),(18891,4),(18892,3),(18893,8),(18894,1),(18895,1),(18896,7),(18897,2),(18898,6),(18899,3),(18900,9),(18901,5),(18902,4),(18903,2),(18904,6),(18905,1),(18906,2),(18907,8),(18908,7),(18909,9),(18910,9),(18911,1),(18912,8),(18913,3),(18914,3),(18915,3),(18916,4),(18917,5),(18918,6),(18919,5),(18920,8),(18921,4),(18922,3),(18923,1),(18924,7),(18925,5),(18926,9),(18927,7),(18928,2),(18929,5),(18930,4),(18931,1),(18932,8),(18933,9),(18934,4),(18935,8),(18936,4),(18937,6),(18938,3),(18939,9),(18940,2),(18941,7),(18942,2),(18943,6),(18944,4),(18945,4),(18946,1),(18947,6),(18948,1),(18949,3),(18950,4),(18951,4),(18952,8),(18953,3),(18954,2),(18955,3),(18956,7),(18957,1),(18958,2),(18959,3),(18960,1),(18961,9),(18962,1),(18963,1),(18964,2),(18965,1),(18966,7),(18967,8),(18968,7),(18969,1),(18970,4),(18971,7),(18972,2),(18973,9),(18974,7),(18975,3),(18976,3),(18977,5),(18978,8),(18979,8),(18980,4),(18981,8),(18982,8),(18983,9),(18984,5),(18985,7),(18986,7),(18987,7),(18988,2),(18989,4),(18990,2),(18991,3),(18992,4),(18993,6),(18994,1),(18995,2),(18996,9),(18997,2),(18998,1),(18999,1),(19000,8),(19001,1),(19002,3),(19003,1),(19004,8),(19005,9),(19006,9),(19007,6),(19008,7),(19009,5),(19010,5),(19011,4),(19012,3),(19013,4),(19014,2),(19015,1),(19016,1),(19017,3),(19018,4),(19019,2),(19020,9),(19021,5),(19022,9),(19023,7),(19024,7),(19025,6),(19026,6),(19027,3),(19028,6),(19029,8),(19030,2),(19031,5),(19032,6),(19033,8),(19034,3),(19035,8),(19036,4),(19037,3),(19038,6),(19039,4),(19040,4),(19041,7),(19042,9),(19043,8),(19044,5),(19045,7),(19046,4),(19047,1),(19048,9),(19049,4),(19050,4),(19051,9),(19052,1),(19053,9),(19054,1),(19055,9),(19056,2),(19057,2),(19058,1),(19059,2),(19060,4),(19061,3),(19062,3),(19063,2),(19064,3),(19065,3),(19066,2),(19067,3),(19068,7),(19069,4),(19070,9),(19071,9),(19072,6),(19073,3),(19074,5),(19075,5),(19076,8),(19077,7),(19078,3),(19079,9),(19080,9),(19081,7),(19082,4),(19083,4),(19084,1),(19085,9),(19086,7),(19087,8),(19088,4),(19089,2),(19090,8),(19091,9),(19092,3),(19093,3),(19094,3),(19095,6),(19096,7),(19097,6),(19098,7),(19099,4),(19100,4),(19101,4),(19102,9),(19103,5),(19104,1),(19105,8),(19106,9),(19107,2),(19108,5),(19109,3),(19110,4),(19111,7),(19112,7),(19113,5),(19114,4),(19115,9),(19116,4),(19117,4),(19118,2),(19119,4),(19120,6),(19121,3),(19122,6),(19123,6),(19124,6),(19125,5),(19126,7),(19127,7),(19128,4),(19129,9),(19130,8),(19131,8),(19132,9),(19133,8),(19134,4),(19135,3),(19136,1),(19137,3),(19138,6),(19139,4),(19140,1),(19141,9),(19142,8),(19143,9),(19144,4),(19145,9),(19146,8),(19147,4),(19148,2),(19149,7),(19150,9),(19151,6),(19152,8),(19153,2),(19154,6),(19155,9),(19156,3),(19157,6),(19158,9),(19159,7),(19160,2),(19161,6),(19162,8),(19163,1),(19164,9),(19165,5),(19166,7),(19167,5),(19168,8),(19169,3),(19170,4),(19171,9),(19172,6),(19173,2),(19174,9),(19175,5),(19176,5),(19177,4),(19178,6),(19179,8),(19180,5),(19181,7),(19182,1),(19183,4),(19184,2),(19185,7),(19186,6),(19187,3),(19188,7),(19189,3),(19190,3),(19191,2),(19192,4),(19193,6),(19194,1),(19195,4),(19196,3),(19197,5),(19198,6),(19199,2),(19200,3),(19201,6),(19202,5),(19203,3),(19204,8),(19205,6),(19206,2),(19207,7),(19208,4),(19209,7),(19210,6),(19211,2),(19212,1),(19213,9),(19214,6),(19215,3),(19216,1),(19217,7),(19218,7),(19219,2),(19220,2),(19221,2),(19222,4),(19223,9),(19224,8),(19225,4),(19226,1),(19227,2),(19228,3),(19229,1),(19230,5),(19231,9),(19232,9),(19233,5),(19234,2),(19235,7),(19236,1),(19237,9),(19238,7),(19239,6),(19240,1),(19241,3),(19242,3),(19243,1),(19244,9),(19245,5),(19246,9),(19247,1),(19248,9),(19249,6),(19250,2),(19251,6),(19252,5),(19253,4),(19254,3),(19255,4),(19256,3),(19257,5),(19258,8),(19259,4),(19260,5),(19261,9),(19262,1),(19263,2),(19264,4),(19265,2),(19266,1),(19267,2),(19268,5),(19269,9),(19270,2),(19271,5),(19272,1),(19273,5),(19274,6),(19275,7),(19276,1),(19277,5),(19278,7),(19279,8),(19280,3),(19281,3),(19282,5),(19283,6),(19284,7),(19285,9),(19286,3),(19287,3),(19288,9),(19289,4),(19290,3),(19291,3),(19292,9),(19293,9),(19294,4),(19295,4),(19296,9),(19297,9),(19298,1),(19299,7),(19300,4),(19301,1),(19302,6),(19303,3),(19304,1),(19305,3),(19306,8),(19307,2),(19308,5),(19309,7),(19310,5),(19311,1),(19312,9),(19313,6),(19314,2),(19315,5),(19316,8),(19317,1),(19318,6),(19319,1),(19320,3),(19321,4),(19322,6),(19323,5),(19324,9),(19325,1),(19326,1),(19327,7),(19328,1),(19329,6),(19330,8),(19331,8),(19332,3),(19333,5),(19334,5),(19335,9),(19336,7),(19337,5),(19338,1),(19339,1),(19340,5),(19341,7),(19342,3),(19343,8),(19344,3),(19345,5),(19346,2),(19347,8),(19348,6),(19349,6),(19350,3),(19351,8),(19352,5),(19353,7),(19354,5),(19355,2),(19356,8),(19357,8),(19358,8),(19359,2),(19360,4),(19361,8),(19362,4),(19363,7),(19364,4),(19365,8),(19366,7),(19367,1),(19368,8),(19369,7),(19370,3),(19371,2),(19372,4),(19373,2),(19374,4),(19375,7),(19376,9),(19377,2),(19378,8),(19379,6),(19380,9),(19381,8),(19382,2),(19383,8),(19384,9),(19385,5),(19386,7),(19387,4),(19388,7),(19389,8),(19390,8),(19391,7),(19392,2),(19393,4),(19394,8),(19395,9),(19396,1),(19397,5),(19398,2),(19399,5),(19400,6),(19401,9),(19402,5),(19403,3),(19404,8),(19405,7),(19406,3),(19407,6),(19408,8),(19409,5),(19410,7),(19411,5),(19412,9),(19413,8),(19414,9),(19415,3),(19416,2),(19417,2),(19418,7),(19419,6),(19420,8),(19421,2),(19422,2),(19423,1),(19424,5),(19425,2),(19426,1),(19427,7),(19428,4),(19429,6),(19430,6),(19431,9),(19432,3),(19433,8),(19434,5),(19435,9),(19436,4),(19437,7),(19438,1),(19439,9),(19440,8),(19441,3),(19442,1),(19443,2),(19444,4),(19445,8),(19446,5),(19447,7),(19448,3),(19449,3),(19450,8),(19451,9),(19452,1),(19453,1),(19454,2),(19455,8),(19456,7),(19457,1),(19458,9),(19459,7),(19460,3),(19461,1),(19462,7),(19463,1),(19464,4),(19465,7),(19466,6),(19467,8),(19468,6),(19469,2),(19470,6),(19471,8),(19472,5),(19473,5),(19474,4),(19475,8),(19476,6),(19477,4),(19478,7),(19479,7),(19480,3),(19481,1),(19482,9),(19483,2),(19484,3),(19485,9),(19486,8),(19487,2),(19488,3),(19489,9),(19490,2),(19491,4),(19492,1),(19493,4),(19494,7),(19495,6),(19496,2),(19497,5),(19498,6),(19499,9),(19500,1),(19501,3),(19502,2),(19503,3),(19504,1),(19505,2),(19506,3),(19507,5),(19508,8),(19509,5),(19510,8),(19511,1),(19512,2),(19513,6),(19514,5),(19515,9),(19516,8),(19517,9),(19518,9),(19519,7),(19520,6),(19521,8),(19522,7),(19523,1),(19524,6),(19525,8),(19526,7),(19527,6),(19528,4),(19529,7),(19530,4),(19531,7),(19532,7),(19533,7),(19534,1),(19535,2),(19536,3),(19537,9),(19538,2),(19539,4),(19540,2),(19541,3),(19542,4),(19543,4),(19544,7),(19545,9),(19546,4),(19547,7),(19548,9),(19549,9),(19550,1),(19551,9),(19552,2),(19553,7),(19554,7),(19555,3),(19556,8),(19557,7),(19558,4),(19559,6),(19560,1),(19561,9),(19562,9),(19563,6),(19564,7),(19565,3),(19566,5),(19567,8),(19568,8),(19569,5),(19570,1),(19571,3),(19572,6),(19573,4),(19574,4),(19575,2),(19576,5),(19577,1),(19578,4),(19579,2),(19580,5),(19581,2),(19582,1),(19583,2),(19584,6),(19585,3),(19586,5),(19587,7),(19588,3),(19589,6),(19590,2),(19591,3),(19592,3),(19593,5),(19594,9),(19595,2),(19596,7),(19597,5),(19598,4),(19599,7),(19600,7),(19601,9),(19602,1),(19603,3),(19604,8),(19605,2),(19606,2),(19607,1),(19608,4),(19609,3),(19610,7),(19611,1),(19612,2),(19613,9),(19614,6),(19615,7),(19616,8),(19617,4),(19618,8),(19619,7),(19620,7),(19621,3),(19622,3),(19623,8),(19624,2),(19625,1),(19626,2),(19627,9),(19628,2),(19629,6),(19630,8),(19631,6),(19632,8),(19633,4),(19634,9),(19635,8),(19636,8),(19637,1),(19638,2),(19639,4),(19640,3),(19641,1),(19642,1),(19643,7),(19644,1),(19645,1),(19646,6),(19647,4),(19648,1),(19649,8),(19650,9),(19651,2),(19652,4),(19653,1),(19654,4),(19655,7),(19656,9),(19657,3),(19658,5),(19659,4),(19660,7),(19661,8),(19662,4),(19663,3),(19664,1),(19665,4),(19666,6),(19667,2),(19668,3),(19669,2),(19670,2),(19671,7),(19672,9),(19673,7),(19674,2),(19675,1),(19676,8),(19677,9),(19678,5),(19679,6),(19680,7),(19681,9),(19682,3),(19683,7),(19684,5),(19685,2),(19686,2),(19687,4),(19688,4),(19689,6),(19690,8),(19691,7),(19692,1),(19693,1),(19694,7),(19695,7),(19696,4),(19697,5),(19698,9),(19699,9),(19700,7),(19701,6),(19702,4),(19703,2),(19704,6),(19705,3),(19706,9),(19707,2),(19708,1),(19709,7),(19710,2),(19711,6),(19712,8),(19713,5),(19714,5),(19715,5),(19716,1),(19717,5),(19718,8),(19719,7),(19720,1),(19721,2),(19722,3),(19723,4),(19724,7),(19725,2),(19726,4),(19727,6),(19728,5),(19729,5),(19730,5),(19731,3),(19732,2),(19733,6),(19734,1),(19735,5),(19736,6),(19737,4),(19738,2),(19739,7),(19740,5),(19741,3),(19742,6),(19743,8),(19744,7),(19745,9),(19746,5),(19747,4),(19748,8),(19749,3),(19750,9),(19751,2),(19752,9),(19753,4),(19754,9),(19755,4),(19756,8),(19757,3),(19758,2),(19759,4),(19760,8),(19761,4),(19762,1),(19763,5),(19764,5),(19765,7),(19766,9),(19767,6),(19768,6),(19769,8),(19770,9),(19771,6),(19772,4),(19773,2),(19774,3),(19775,4),(19776,6),(19777,2),(19778,7),(19779,5),(19780,6),(19781,8),(19782,5),(19783,2),(19784,2),(19785,4),(19786,5),(19787,3),(19788,4),(19789,4),(19790,8),(19791,7),(19792,5),(19793,9),(19794,5),(19795,7),(19796,1),(19797,1),(19798,3),(19799,1),(19800,4),(19801,7),(19802,7),(19803,4),(19804,8),(19805,9),(19806,2),(19807,9),(19808,2),(19809,2),(19810,5),(19811,6),(19812,2),(19813,6),(19814,4),(19815,4),(19816,5),(19817,3),(19818,8),(19819,1),(19820,6),(19821,1),(19822,7),(19823,2),(19824,4),(19825,3),(19826,1),(19827,2),(19828,7),(19829,5),(19830,3),(19831,9),(19832,6),(19833,7),(19834,1),(19835,6),(19836,2),(19837,5),(19838,8),(19839,4),(19840,8),(19841,4),(19842,5),(19843,4),(19844,3),(19845,8),(19846,7),(19847,8),(19848,4),(19849,3),(19850,3),(19851,6),(19852,8),(19853,2),(19854,4),(19855,6),(19856,8),(19857,1),(19858,2),(19859,4),(19860,8),(19861,3),(19862,8),(19863,6),(19864,8),(19865,4),(19866,1),(19867,3),(19868,8),(19869,2),(19870,1),(19871,3),(19872,5),(19873,4),(19874,3),(19875,9),(19876,6),(19877,6),(19878,3),(19879,6),(19880,7),(19881,1),(19882,2),(19883,4),(19884,6),(19885,8),(19886,4),(19887,7),(19888,8),(19889,6),(19890,5),(19891,3),(19892,6),(19893,9),(19894,2),(19895,7),(19896,2),(19897,4),(19898,4),(19899,2),(19900,7),(19901,1),(19902,6),(19903,6),(19904,7),(19905,8),(19906,4),(19907,4),(19908,1),(19909,5),(19910,3),(19911,3),(19912,7),(19913,6),(19914,1),(19915,6),(19916,1),(19917,9),(19918,1),(19919,3),(19920,2),(19921,7),(19922,3),(19923,8),(19924,5),(19925,2),(19926,8),(19927,4),(19928,8),(19929,8),(19930,5),(19931,6),(19932,5),(19933,3),(19934,3),(19935,1),(19936,5),(19937,5),(19938,1),(19939,5),(19940,7),(19941,5),(19942,8),(19943,3),(19944,5),(19945,7),(19946,5),(19947,1),(19948,5),(19949,1),(19950,1),(19951,9),(19952,9),(19953,3),(19954,9),(19955,6),(19956,4),(19957,4),(19958,9),(19959,3),(19960,2),(19961,6),(19962,9),(19963,4),(19964,6),(19965,9),(19966,4),(19967,6),(19968,9),(19969,1),(19970,8),(19971,8),(19972,7),(19973,9),(19974,9),(19975,2),(19976,7),(19977,4),(19978,6),(19979,8),(19980,1),(19981,2),(19982,7),(19983,8),(19984,8),(19985,5),(19986,4),(19987,7),(19988,5),(19989,8),(19990,7),(19991,5),(19992,2),(19993,9),(19994,9),(19995,2),(19996,3),(19997,4),(19998,1),(19999,8),(20000,9),(20001,1),(20002,8),(20003,7),(20004,6),(20005,2),(20006,2),(20007,1),(20008,3),(20009,1),(20010,7),(20011,8),(20012,3),(20013,2),(20014,1),(20015,8),(20016,8),(20017,4),(20018,1),(20019,8),(20020,9),(20021,5),(20022,1),(20023,2),(20024,9),(20025,1),(20026,7),(20027,3),(20028,5),(20029,5),(20030,5),(20031,6),(20032,3),(20033,5),(20034,2),(20035,8),(20036,4),(20037,6),(20038,2),(20039,6),(20040,3),(20041,7),(20042,7),(20043,8),(20044,1),(20045,3),(20046,7),(20047,4),(20048,5),(20049,4),(20050,5),(20051,4),(20052,3),(20053,1),(20054,1),(20055,4),(20056,7),(20057,4),(20058,2),(20059,9),(20060,1),(20061,8),(20062,4),(20063,1),(20064,6),(20065,2),(20066,4),(20067,6),(20068,4),(20069,9),(20070,8),(20071,3),(20072,9),(20073,2),(20074,4),(20075,2),(20076,3),(20077,1),(20078,1),(20079,1),(20080,3),(20081,6),(20082,4),(20083,1),(20084,5),(20085,5),(20086,4),(20087,6),(20088,9),(20089,3),(20090,1),(20091,6),(20092,7),(20093,3),(20094,3),(20095,5),(20096,3),(20097,7),(20098,9),(20099,1),(20100,7),(20101,5),(20102,5),(20103,5),(20104,9),(20105,4),(20106,3),(20107,9),(20108,9),(20109,9),(20110,8),(20111,4),(20112,1),(20113,3),(20114,9),(20115,6),(20116,8),(20117,9),(20118,4),(20119,9),(20120,6),(20121,1),(20122,7),(20123,3),(20124,1),(20125,6),(20126,3),(20127,5),(20128,2),(20129,5),(20130,2),(20131,9),(20132,7),(20133,2),(20134,9),(20135,6),(20136,7),(20137,6),(20138,9),(20139,3),(20140,6),(20141,7),(20142,5),(20143,4),(20144,6),(20145,3),(20146,2),(20147,5),(20148,9),(20149,6),(20150,7),(20151,5),(20152,6),(20153,3),(20154,2),(20155,1),(20156,4),(20157,7),(20158,5),(20159,5),(20160,6),(20161,7),(20162,4),(20163,3),(20164,3),(20165,9),(20166,7),(20167,4),(20168,4),(20169,8),(20170,7),(20171,5),(20172,9),(20173,5),(20174,5),(20175,2),(20176,8),(20177,1),(20178,7),(20179,6),(20180,4),(20181,5),(20182,3),(20183,1),(20184,2),(20185,3),(20186,8),(20187,8),(20188,6),(20189,6),(20190,9),(20191,5),(20192,2),(20193,1),(20194,1),(20195,2),(20196,6),(20197,6),(20198,9),(20199,5),(20200,8),(20201,5),(20202,8),(20203,7),(20204,7),(20205,9),(20206,3),(20207,6),(20208,7),(20209,8),(20210,2),(20211,2),(20212,8),(20213,8),(20214,8),(20215,9),(20216,9),(20217,1),(20218,8),(20219,4),(20220,9),(20221,9),(20222,2),(20223,7),(20224,9),(20225,7),(20226,4),(20227,9),(20228,8),(20229,1),(20230,2),(20231,2),(20232,8),(20233,6),(20234,9),(20235,8),(20236,5),(20237,2),(20238,4),(20239,4),(20240,7),(20241,8),(20242,9),(20243,1),(20244,9),(20245,1),(20246,9),(20247,3),(20248,1),(20249,7),(20250,4),(20251,3),(20252,6),(20253,3),(20254,4),(20255,7),(20256,7),(20257,3),(20258,8),(20259,9),(20260,4),(20261,6),(20262,7),(20263,6),(20264,9),(20265,8),(20266,4),(20267,5),(20268,8),(20269,1),(20270,9),(20271,2),(20272,5),(20273,2),(20274,9),(20275,9),(20276,4),(20277,6),(20278,8),(20279,6),(20280,1),(20281,1),(20282,3),(20283,9),(20284,9),(20285,6),(20286,2),(20287,4),(20288,3),(20289,3),(20290,9),(20291,7),(20292,5),(20293,8),(20294,7),(20295,2),(20296,4),(20297,1),(20298,3),(20299,7),(20300,3),(20301,6),(20302,8),(20303,6),(20304,2),(20305,2),(20306,8),(20307,6),(20308,2),(20309,9),(20310,6),(20311,4),(20312,3),(20313,7),(20314,7),(20315,5),(20316,8),(20317,1),(20318,6),(20319,1),(20320,8),(20321,7),(20322,7),(20323,9),(20324,6),(20325,2),(20326,1),(20327,2),(20328,2),(20329,9),(20330,3),(20331,7),(20332,9),(20333,8),(20334,3),(20335,2),(20336,7),(20337,5),(20338,3),(20339,3),(20340,1),(20341,9),(20342,9),(20343,3),(20344,9),(20345,1),(20346,9),(20347,8),(20348,5),(20349,6),(20350,7),(20351,7),(20352,4),(20353,8),(20354,4),(20355,6),(20356,2),(20357,2),(20358,5),(20359,6),(20360,2),(20361,4),(20362,8),(20363,7),(20364,2),(20365,7),(20366,9),(20367,6),(20368,6),(20369,7),(20370,9),(20371,9),(20372,9),(20373,7),(20374,2),(20375,7),(20376,3),(20377,2),(20378,8),(20379,4),(20380,8),(20381,5),(20382,4),(20383,4),(20384,8),(20385,6),(20386,7),(20387,2),(20388,7),(20389,9),(20390,1),(20391,1),(20392,5),(20393,5),(20394,3),(20395,8),(20396,4),(20397,2),(20398,2),(20399,7),(20400,3),(20401,9),(20402,1),(20403,2),(20404,8),(20405,3),(20406,9),(20407,3),(20408,8),(20409,8),(20410,8),(20411,8),(20412,4),(20413,4),(20414,3),(20415,2),(20416,1),(20417,6),(20418,8),(20419,7),(20420,7),(20421,6),(20422,6),(20423,8),(20424,9),(20425,2),(20426,4),(20427,6),(20428,8),(20429,5),(20430,6),(20431,2),(20432,5),(20433,6),(20434,2),(20435,3),(20436,9),(20437,2),(20438,8),(20439,1),(20440,9),(20441,4),(20442,6),(20443,8),(20444,1),(20445,8),(20446,4),(20447,1),(20448,6),(20449,5),(20450,5),(20451,6),(20452,3),(20453,4),(20454,7),(20455,7),(20456,6),(20457,4),(20458,2),(20459,2),(20460,7),(20461,8),(20462,8),(20463,6),(20464,4),(20465,3),(20466,1),(20467,6),(20468,2),(20469,4),(20470,1),(20471,9),(20472,2),(20473,6),(20474,4),(20475,1),(20476,5),(20477,9),(20478,3),(20479,3),(20480,6),(20481,1),(20482,1),(20483,4),(20484,6),(20485,6),(20486,4),(20487,7),(20488,1),(20489,4),(20490,7),(20491,2),(20492,1),(20493,9),(20494,5),(20495,2),(20496,9),(20497,4),(20498,4),(20499,1),(20500,5),(20501,7),(20502,4),(20503,2),(20504,5),(20505,1),(20506,3),(20507,6),(20508,9),(20509,3),(20510,7),(20511,2),(20512,2),(20513,3),(20514,8),(20515,3),(20516,9),(20517,1),(20518,6),(20519,3),(20520,6),(20521,3),(20522,7),(20523,8),(20524,1),(20525,9),(20526,1),(20527,1),(20528,7),(20529,1),(20530,4),(20531,3),(20532,2),(20533,8),(20534,6),(20535,8),(20536,4),(20537,1),(20538,1),(20539,7),(20540,7),(20541,9),(20542,5),(20543,8),(20544,1),(20545,2),(20546,2),(20547,4),(20548,9),(20549,9),(20550,9),(20551,7),(20552,8),(20553,1),(20554,3),(20555,3),(20556,3),(20557,2),(20558,9),(20559,8),(20560,2),(20561,7),(20562,6),(20563,4),(20564,5),(20565,6),(20566,9),(20567,4),(20568,9),(20569,8),(20570,7),(20571,7),(20572,9),(20573,3),(20574,1),(20575,5),(20576,6),(20577,5),(20578,6),(20579,3),(20580,6),(20581,1),(20582,4),(20583,9),(20584,1),(20585,4),(20586,8),(20587,6),(20588,8),(20589,6),(20590,8),(20591,7),(20592,9),(20593,7),(20594,4),(20595,2),(20596,4),(20597,4),(20598,4),(20599,2),(20600,7),(20601,4),(20602,6),(20603,2),(20604,3),(20605,7),(20606,6),(20607,8),(20608,7),(20609,8),(20610,4),(20611,8),(20612,7),(20613,4),(20614,2),(20615,1),(20616,1),(20617,2),(20618,2),(20619,4),(20620,6),(20621,2),(20622,4),(20623,2),(20624,2),(20625,4),(20626,3),(20627,9),(20628,6),(20629,1),(20630,3),(20631,9),(20632,9),(20633,4),(20634,3),(20635,7),(20636,1),(20637,3),(20638,6),(20639,7),(20640,9),(20641,5),(20642,2),(20643,4),(20644,5),(20645,9),(20646,6),(20647,6),(20648,4),(20649,2),(20650,4),(20651,7),(20652,5),(20653,1),(20654,9),(20655,8),(20656,7),(20657,1),(20658,3),(20659,1),(20660,8),(20661,9),(20662,7),(20663,1),(20664,4),(20665,1),(20666,2),(20667,7),(20668,3),(20669,1),(20670,9),(20671,6),(20672,9),(20673,8),(20674,2),(20675,5),(20676,3),(20677,3),(20678,7),(20679,5),(20680,7),(20681,2),(20682,4),(20683,9),(20684,5),(20685,5),(20686,3),(20687,6),(20688,8),(20689,9),(20690,1),(20691,8),(20692,6),(20693,5),(20694,6),(20695,6),(20696,4),(20697,3),(20698,9),(20699,4),(20700,3),(20701,9),(20702,4),(20703,8),(20704,5),(20705,8),(20706,3),(20707,2),(20708,3),(20709,6),(20710,7),(20711,4),(20712,6),(20713,9),(20714,7),(20715,6),(20716,1),(20717,3),(20718,1),(20719,7),(20720,6),(20721,3),(20722,5),(20723,9),(20724,3),(20725,4),(20726,6),(20727,3),(20728,7),(20729,5),(20730,6),(20731,4),(20732,9),(20733,4),(20734,1),(20735,5),(20736,6),(20737,6),(20738,1),(20739,1),(20740,4),(20741,7),(20742,7),(20743,2),(20744,2),(20745,4),(20746,8),(20747,6),(20748,2),(20749,5),(20750,4),(20751,9),(20752,6),(20753,1),(20754,7),(20755,8),(20756,3),(20757,5),(20758,1),(20759,5),(20760,2),(20761,7),(20762,4),(20763,8),(20764,3),(20765,8),(20766,9),(20767,3),(20768,7),(20769,4),(20770,4),(20771,7),(20772,1),(20773,6),(20774,8),(20775,3),(20776,8),(20777,6),(20778,3),(20779,4),(20780,5),(20781,5),(20782,9),(20783,9),(20784,2),(20785,9),(20786,4),(20787,6),(20788,5),(20789,9),(20790,4),(20791,1),(20792,3),(20793,4),(20794,7),(20795,8),(20796,8),(20797,5),(20798,6),(20799,3),(20800,7),(20801,2),(20802,6),(20803,8),(20804,6),(20805,3),(20806,9),(20807,8),(20808,8),(20809,9),(20810,6),(20811,8),(20812,5),(20813,1),(20814,5),(20815,6),(20816,7),(20817,7),(20818,7),(20819,4),(20820,5),(20821,2),(20822,1),(20823,9),(20824,1),(20825,5),(20826,1),(20827,6),(20828,4),(20829,9),(20830,5),(20831,2),(20832,4),(20833,7),(20834,7),(20835,2),(20836,2),(20837,4),(20838,5),(20839,4),(20840,8),(20841,6),(20842,4),(20843,3),(20844,2),(20845,8),(20846,7),(20847,1),(20848,2),(20849,8),(20850,2),(20851,9),(20852,5),(20853,6),(20854,9),(20855,6),(20856,6),(20857,3),(20858,7),(20859,6),(20860,1),(20861,8),(20862,1),(20863,2),(20864,3),(20865,2),(20866,8),(20867,9),(20868,8),(20869,2),(20870,6),(20871,1),(20872,8),(20873,8),(20874,1),(20875,3),(20876,4),(20877,6),(20878,7),(20879,4),(20880,7),(20881,4),(20882,7),(20883,4),(20884,8),(20885,9),(20886,2),(20887,4),(20888,7),(20889,4),(20890,6),(20891,6),(20892,6),(20893,3),(20894,9),(20895,4),(20896,3),(20897,2),(20898,9),(20899,2),(20900,4),(20901,6),(20902,9),(20903,8),(20904,5),(20905,6),(20906,4),(20907,3),(20908,6),(20909,7),(20910,8),(20911,1),(20912,4),(20913,5),(20914,4),(20915,8),(20916,7),(20917,4),(20918,9),(20919,7),(20920,8),(20921,1),(20922,3),(20923,8),(20924,7),(20925,9),(20926,8),(20927,1),(20928,4),(20929,8),(20930,7),(20931,2),(20932,4),(20933,2),(20934,3),(20935,3),(20936,3),(20937,7),(20938,1),(20939,3),(20940,7),(20941,8),(20942,3),(20943,1),(20944,7),(20945,4),(20946,1),(20947,6),(20948,6),(20949,3),(20950,5),(20951,2),(20952,7),(20953,8),(20954,5),(20955,7),(20956,8),(20957,7),(20958,2),(20959,4),(20960,8),(20961,3),(20962,3),(20963,6),(20964,6),(20965,2),(20966,1),(20967,1),(20968,1),(20969,1),(20970,6),(20971,1),(20972,5),(20973,8),(20974,6),(20975,6),(20976,5),(20977,5),(20978,7),(20979,4),(20980,3),(20981,4),(20982,4),(20983,2),(20984,2),(20985,1),(20986,6),(20987,4),(20988,4),(20989,1),(20990,1),(20991,9),(20992,7),(20993,9),(20994,3),(20995,8),(20996,7),(20997,8),(20998,5),(20999,4),(21000,7),(21001,3),(21002,2),(21003,6),(21004,4),(21005,4),(21006,1),(21007,4),(21008,7),(21009,7),(21010,6),(21011,2),(21012,4),(21013,7),(21014,6),(21015,3),(21016,4),(21017,6),(21018,3),(21019,5),(21020,4),(21021,8),(21022,2),(21023,1),(21024,3),(21025,4),(21026,8),(21027,9),(21028,9),(21029,1),(21030,6),(21031,3),(21032,2),(21033,3),(21034,5),(21035,6),(21036,3),(21037,1),(21038,8),(21039,1),(21040,7),(21041,2),(21042,6),(21043,4),(21044,1),(21045,8),(21046,6),(21047,7),(21048,2),(21049,6),(21050,6),(21051,8),(21052,4),(21053,1),(21054,3),(21055,2),(21056,4),(21057,4),(21058,6),(21059,9),(21060,4),(21061,7),(21062,4),(21063,5),(21064,9),(21065,8),(21066,3),(21067,3),(21068,7),(21069,9),(21070,3),(21071,1),(21072,3),(21073,9),(21074,5),(21075,7),(21076,6),(21077,6),(21078,3),(21079,8),(21080,1),(21081,8),(21082,4),(21083,3),(21084,5),(21085,6),(21086,2),(21087,4),(21088,4),(21089,7),(21090,1),(21091,6),(21092,5),(21093,2),(21094,6),(21095,5),(21096,8),(21097,2),(21098,9),(21099,6),(21100,1),(21101,4),(21102,1),(21103,7),(21104,9),(21105,9),(21106,9),(21107,4),(21108,2),(21109,9),(21110,3),(21111,1),(21112,7),(21113,4),(21114,5),(21115,4),(21116,5),(21117,1),(21118,8),(21119,4),(21120,3),(21121,9),(21122,2),(21123,7),(21124,7),(21125,9),(21126,2),(21127,7),(21128,4),(21129,4),(21130,5),(21131,1),(21132,3),(21133,1),(21134,3),(21135,7),(21136,6),(21137,1),(21138,6),(21139,4),(21140,5),(21141,9),(21142,6),(21143,8),(21144,2),(21145,1),(21146,5),(21147,3),(21148,2),(21149,3),(21150,5),(21151,1),(21152,9),(21153,3),(21154,9),(21155,8),(21156,1),(21157,8),(21158,5),(21159,4),(21160,4),(21161,9),(21162,8),(21163,9),(21164,8),(21165,2),(21166,6),(21167,8),(21168,8),(21169,4),(21170,7),(21171,5),(21172,9),(21173,8),(21174,4),(21175,1),(21176,7),(21177,6),(21178,6),(21179,4),(21180,4),(21181,4),(21182,7),(21183,6),(21184,7),(21185,3),(21186,7),(21187,3),(21188,3),(21189,1),(21190,3),(21191,3),(21192,7),(21193,4),(21194,1),(21195,1),(21196,9),(21197,9),(21198,9),(21199,1),(21200,5),(21201,5),(21202,8),(21203,8),(21204,7),(21205,5),(21206,9),(21207,1),(21208,8),(21209,5),(21210,2),(21211,8),(21212,1),(21213,2),(21214,2),(21215,6),(21216,1),(21217,4),(21218,5),(21219,8),(21220,1),(21221,1),(21222,1),(21223,5),(21224,1),(21225,1),(21226,2),(21227,6),(21228,5),(21229,6),(21230,8),(21231,6),(21232,4),(21233,1),(21234,8),(21235,1),(21236,6),(21237,4),(21238,5),(21239,7),(21240,5),(21241,3),(21242,1),(21243,8),(21244,4),(21245,8),(21246,5),(21247,3),(21248,9),(21249,4),(21250,1),(21251,5),(21252,1),(21253,2),(21254,9),(21255,2),(21256,1),(21257,1),(21258,3),(21259,8),(21260,9),(21261,7),(21262,4),(21263,3),(21264,4),(21265,4),(21266,2),(21267,2),(21268,3),(21269,7),(21270,9),(21271,8),(21272,6),(21273,8),(21274,8),(21275,3),(21276,8),(21277,5),(21278,1),(21279,4),(21280,2),(21281,6),(21282,5),(21283,1),(21284,4),(21285,4),(21286,7),(21287,2),(21288,6),(21289,8),(21290,8),(21291,8),(21292,4),(21293,6),(21294,9),(21295,3),(21296,3),(21297,4),(21298,3),(21299,5),(21300,3),(21301,5),(21302,3),(21303,2),(21304,5),(21305,4),(21306,6),(21307,1),(21308,1),(21309,3),(21310,3),(21311,9),(21312,5),(21313,6),(21314,4),(21315,5),(21316,4),(21317,7),(21318,1),(21319,6),(21320,4),(21321,6),(21322,5),(21323,6),(21324,7),(21325,4),(21326,3),(21327,3),(21328,5),(21329,9),(21330,8),(21331,9),(21332,1),(21333,6),(21334,5),(21335,8),(21336,1),(21337,4),(21338,2),(21339,6),(21340,2),(21341,9),(21342,5),(21343,8),(21344,2),(21345,9),(21346,8),(21347,8),(21348,8),(21349,3),(21350,4),(21351,5),(21352,1),(21353,9),(21354,9),(21355,9),(21356,1),(21357,3),(21358,4),(21359,6),(21360,8),(21361,8),(21362,6),(21363,2),(21364,2),(21365,7),(21366,4),(21367,8),(21368,2),(21369,2),(21370,3),(21371,1),(21372,8),(21373,3),(21374,1),(21375,3),(21376,5),(21377,3),(21378,2),(21379,4),(21380,2),(21381,4),(21382,7),(21383,3),(21384,8),(21385,8),(21386,5),(21387,1),(21388,8),(21389,4),(21390,3),(21391,5),(21392,3),(21393,5),(21394,4),(21395,1),(21396,2),(21397,9),(21398,9),(21399,5),(21400,5),(21401,5),(21402,3),(21403,8),(21404,6),(21405,8),(21406,3),(21407,6),(21408,4),(21409,1),(21410,2),(21411,9),(21412,3),(21413,1),(21414,1),(21415,3),(21416,1),(21417,3),(21418,9),(21419,6),(21420,4),(21421,5),(21422,4),(21423,7),(21424,9),(21425,5),(21426,8),(21427,5),(21428,1),(21429,3),(21430,6),(21431,9),(21432,1),(21433,2),(21434,4),(21435,2),(21436,9),(21437,9),(21438,9),(21439,6),(21440,6),(21441,4),(21442,3),(21443,2),(21444,6),(21445,3),(21446,8),(21447,5),(21448,7),(21449,6),(21450,3),(21451,9),(21452,8),(21453,4),(21454,1),(21455,9),(21456,7),(21457,7),(21458,8),(21459,6),(21460,5),(21461,6),(21462,5),(21463,2),(21464,1),(21465,9),(21466,9),(21467,6),(21468,1),(21469,7),(21470,2),(21471,4),(21472,1),(21473,1),(21474,1),(21475,2),(21476,2),(21477,3),(21478,8),(21479,7),(21480,9),(21481,3),(21482,9),(21483,9),(21484,8),(21485,3),(21486,1),(21487,6),(21488,5),(21489,1),(21490,6),(21491,8),(21492,3),(21493,2),(21494,7),(21495,2),(21496,9),(21497,4),(21498,6),(21499,6),(21500,9),(21501,4),(21502,7),(21503,1),(21504,9),(21505,3),(21506,3),(21507,7),(21508,5),(21509,1),(21510,8),(21511,2),(21512,2),(21513,3),(21514,9),(21515,9),(21516,2),(21517,4),(21518,8),(21519,3),(21520,7),(21521,7),(21522,7),(21523,4),(21524,8),(21525,2),(21526,3),(21527,1),(21528,5),(21529,5),(21530,7),(21531,7),(21532,5),(21533,2),(21534,7),(21535,7),(21536,5),(21537,3),(21538,7),(21539,6),(21540,4),(21541,2),(21542,6),(21543,1),(21544,1),(21545,5),(21546,4),(21547,2),(21548,1),(21549,3),(21550,5),(21551,3),(21552,1),(21553,3),(21554,4),(21555,1),(21556,9),(21557,1),(21558,5),(21559,2),(21560,7),(21561,9),(21562,6),(21563,7),(21564,3),(21565,7),(21566,8),(21567,8),(21568,1),(21569,1),(21570,1),(21571,8),(21572,4),(21573,7),(21574,8),(21575,7),(21576,1),(21577,7),(21578,7),(21579,3),(21580,6),(21581,7),(21582,6),(21583,9),(21584,1),(21585,1),(21586,2),(21587,4),(21588,1),(21589,8),(21590,1),(21591,8),(21592,8),(21593,5),(21594,5),(21595,5),(21596,6),(21597,2),(21598,7),(21599,8),(21600,3),(21601,8),(21602,5),(21603,2),(21604,8),(21605,8),(21606,1),(21607,1),(21608,4),(21609,2),(21610,3),(21611,7),(21612,7),(21613,4),(21614,7),(21615,9),(21616,9),(21617,8),(21618,4),(21619,7),(21620,2),(21621,5),(21622,5),(21623,4),(21624,7),(21625,1),(21626,4),(21627,5),(21628,6),(21629,5),(21630,5),(21631,4),(21632,7),(21633,2),(21634,6),(21635,5),(21636,2),(21637,7),(21638,7),(21639,1),(21640,2),(21641,4),(21642,1),(21643,1),(21644,2),(21645,8),(21646,8),(21647,5),(21648,8),(21649,1),(21650,2),(21651,7),(21652,7),(21653,5),(21654,6),(21655,8),(21656,7),(21657,2),(21658,7),(21659,9),(21660,5),(21661,4),(21662,8),(21663,2),(21664,9),(21665,1),(21666,6),(21667,4),(21668,8),(21669,3),(21670,2),(21671,5),(21672,8),(21673,1),(21674,7),(21675,3),(21676,4),(21677,9),(21678,6),(21679,4),(21680,5),(21681,2),(21682,2),(21683,3),(21684,6),(21685,3),(21686,4),(21687,5),(21688,8),(21689,6),(21690,6),(21691,3),(21692,9),(21693,1),(21694,5),(21695,2),(21696,3),(21697,7),(21698,2),(21699,2),(21700,7),(21701,9),(21702,9),(21703,7),(21704,2),(21705,1),(21706,3),(21707,4),(21708,3),(21709,5),(21710,6),(21711,7),(21712,1),(21713,4),(21714,6),(21715,1),(21716,2),(21717,1),(21718,5),(21719,4),(21720,8),(21721,3),(21722,5),(21723,8),(21724,9),(21725,3),(21726,3),(21727,2),(21728,1),(21729,1),(21730,1),(21731,9),(21732,3),(21733,9),(21734,4),(21735,4),(21736,5),(21737,4),(21738,9),(21739,4),(21740,4),(21741,9),(21742,5),(21743,3),(21744,2),(21745,3),(21746,8),(21747,7),(21748,1),(21749,5),(21750,5),(21751,7),(21752,7),(21753,4),(21754,8),(21755,2),(21756,2),(21757,2),(21758,7),(21759,1),(21760,4),(21761,7),(21762,6),(21763,4),(21764,5),(21765,5),(21766,5),(21767,7),(21768,3),(21769,6),(21770,6),(21771,4),(21772,2),(21773,5),(21774,7),(21775,9),(21776,6),(21777,7),(21778,9),(21779,3),(21780,3),(21781,1),(21782,7),(21783,6),(21784,2),(21785,1),(21786,2),(21787,7),(21788,9),(21789,5),(21790,4),(21791,9),(21792,6),(21793,6),(21794,2),(21795,4),(21796,4),(21797,2),(21798,3),(21799,3),(21800,7),(21801,5),(21802,2),(21803,8),(21804,9),(21805,7),(21806,1),(21807,7),(21808,3),(21809,5),(21810,2),(21811,3),(21812,9),(21813,8),(21814,4),(21815,9),(21816,9),(21817,6),(21818,4),(21819,4),(21820,9),(21821,2),(21822,3),(21823,5),(21824,7),(21825,7),(21826,5),(21827,9),(21828,1),(21829,8),(21830,5),(21831,4),(21832,6),(21833,3),(21834,6),(21835,9),(21836,4),(21837,9),(21838,1),(21839,2),(21840,5),(21841,5),(21842,5),(21843,8),(21844,8),(21845,8),(21846,4),(21847,4),(21848,4),(21849,5),(21850,5),(21851,6),(21852,7),(21853,6),(21854,8),(21855,7),(21856,9),(21857,6),(21858,5),(21859,1),(21860,2),(21861,2),(21862,2),(21863,7),(21864,5),(21865,6),(21866,6),(21867,3),(21868,5),(21869,5),(21870,9),(21871,5),(21872,2),(21873,6),(21874,3),(21875,8),(21876,3),(21877,3),(21878,8),(21879,3),(21880,5),(21881,5),(21882,9),(21883,3),(21884,2),(21885,9),(21886,4),(21887,8),(21888,1),(21889,4),(21890,4),(21891,5),(21892,8),(21893,8),(21894,3),(21895,5),(21896,8),(21897,7),(21898,7),(21899,6),(21900,5),(21901,9),(21902,7),(21903,6),(21904,5),(21905,8),(21906,2),(21907,8),(21908,9),(21909,5),(21910,4),(21911,3),(21912,2),(21913,9),(21914,4),(21915,2),(21916,7),(21917,8),(21918,1),(21919,2),(21920,8),(21921,4),(21922,4),(21923,7),(21924,9),(21925,5),(21926,2),(21927,1),(21928,7),(21929,3),(21930,2),(21931,3),(21932,2),(21933,1),(21934,3),(21935,5),(21936,5),(21937,7),(21938,2),(21939,4),(21940,2),(21941,9),(21942,6),(21943,5),(21944,5),(21945,3),(21946,7),(21947,2),(21948,8),(21949,5),(21950,6),(21951,4),(21952,3),(21953,1),(21954,4),(21955,8),(21956,8),(21957,2),(21958,2),(21959,9),(21960,6),(21961,8),(21962,1),(21963,6),(21964,9),(21965,6),(21966,8),(21967,3),(21968,6),(21969,5),(21970,1),(21971,4),(21972,2),(21973,4),(21974,8),(21975,6),(21976,5),(21977,9),(21978,7),(21979,7),(21980,2),(21981,4),(21982,1),(21983,6),(21984,6),(21985,8),(21986,2),(21987,2),(21988,4),(21989,9),(21990,8),(21991,4),(21992,2),(21993,2),(21994,6),(21995,4),(21996,4),(21997,5),(21998,9),(21999,1),(22000,2),(22001,1),(22002,7),(22003,5),(22004,6),(22005,8),(22006,8),(22007,3),(22008,2),(22009,1),(22010,3),(22011,6),(22012,6),(22013,7),(22014,3),(22015,3),(22016,2),(22017,4),(22018,6),(22019,4),(22020,5),(22021,7),(22022,2),(22023,5),(22024,6),(22025,2),(22026,9),(22027,4),(22028,3),(22029,8),(22030,2),(22031,6),(22032,5),(22033,3),(22034,4),(22035,2),(22036,2),(22037,8),(22038,4),(22039,5),(22040,4),(22041,9),(22042,9),(22043,3),(22044,6),(22045,3),(22046,4),(22047,5),(22048,7),(22049,1),(22050,6),(22051,2),(22052,5),(22053,2),(22054,3),(22055,9),(22056,4),(22057,1),(22058,3),(22059,6),(22060,9),(22061,1),(22062,2),(22063,7),(22064,5),(22065,7),(22066,7),(22067,7),(22068,6),(22069,8),(22070,3),(22071,7),(22072,8),(22073,9),(22074,8),(22075,9),(22076,9),(22077,8),(22078,4),(22079,6),(22080,2),(22081,7),(22082,3),(22083,5),(22084,9),(22085,5),(22086,9),(22087,6),(22088,3),(22089,1),(22090,7),(22091,7),(22092,3),(22093,4),(22094,3),(22095,6),(22096,7),(22097,8),(22098,1),(22099,5),(22100,6),(22101,9),(22102,3),(22103,6),(22104,2),(22105,9),(22106,6),(22107,2),(22108,8),(22109,3),(22110,4),(22111,6),(22112,4),(22113,8),(22114,2),(22115,5),(22116,5),(22117,5),(22118,3),(22119,6),(22120,8),(22121,3),(22122,8),(22123,6),(22124,5),(22125,1),(22126,2),(22127,2),(22128,7),(22129,6),(22130,1),(22131,1),(22132,2),(22133,8),(22134,3),(22135,7),(22136,8),(22137,6),(22138,6),(22139,1),(22140,1),(22141,7),(22142,4),(22143,7),(22144,5),(22145,5),(22146,2),(22147,8),(22148,4),(22149,5),(22150,4),(22151,8),(22152,9),(22153,1),(22154,5),(22155,9),(22156,1),(22157,2),(22158,6),(22159,2),(22160,3),(22161,1),(22162,8),(22163,2),(22164,9),(22165,8),(22166,5),(22167,4),(22168,5),(22169,1),(22170,6),(22171,6),(22172,4),(22173,5),(22174,6),(22175,8),(22176,7),(22177,2),(22178,7),(22179,9),(22180,9),(22181,9),(22182,4),(22183,4),(22184,3),(22185,8),(22186,5),(22187,5),(22188,3),(22189,6),(22190,5),(22191,8),(22192,7),(22193,5),(22194,4),(22195,1),(22196,4),(22197,6),(22198,2),(22199,6),(22200,7),(22201,9),(22202,2),(22203,2),(22204,3),(22205,5),(22206,8),(22207,6),(22208,3),(22209,8),(22210,6),(22211,8),(22212,6),(22213,4),(22214,5),(22215,6),(22216,4),(22217,6),(22218,8),(22219,9),(22220,4),(22221,6),(22222,7),(22223,6),(22224,7),(22225,4),(22226,4),(22227,6),(22228,4),(22229,5),(22230,8),(22231,1),(22232,9),(22233,3),(22234,6),(22235,9),(22236,5),(22237,7),(22238,7),(22239,7),(22240,2),(22241,6),(22242,5),(22243,9),(22244,9),(22245,6),(22246,9),(22247,5),(22248,2),(22249,8),(22250,8),(22251,1),(22252,7),(22253,4),(22254,8),(22255,9),(22256,3),(22257,8),(22258,3),(22259,5),(22260,8),(22261,2),(22262,7),(22263,3),(22264,5),(22265,5),(22266,2),(22267,2),(22268,8),(22269,3),(22270,2),(22271,7),(22272,6),(22273,8),(22274,1),(22275,3),(22276,5),(22277,5),(22278,3),(22279,3),(22280,5),(22281,2),(22282,4),(22283,4),(22284,1),(22285,8),(22286,5),(22287,2),(22288,1),(22289,8),(22290,1),(22291,1),(22292,1),(22293,8),(22294,5),(22295,3),(22296,1),(22297,6),(22298,1),(22299,5),(22300,5),(22301,8),(22302,6),(22303,4),(22304,3),(22305,6),(22306,3),(22307,9),(22308,9),(22309,2),(22310,4),(22311,8),(22312,5),(22313,8),(22314,8),(22315,5),(22316,8),(22317,5),(22318,6),(22319,3),(22320,3),(22321,8),(22322,7),(22323,5),(22324,7),(22325,3),(22326,7),(22327,1),(22328,7),(22329,7),(22330,6),(22331,1),(22332,2),(22333,5),(22334,7),(22335,9),(22336,9),(22337,4),(22338,5),(22339,6),(22340,2),(22341,8),(22342,8),(22343,3),(22344,6),(22345,9),(22346,7),(22347,2),(22348,2),(22349,6),(22350,2),(22351,4),(22352,3),(22353,4),(22354,1),(22355,8),(22356,4),(22357,1),(22358,2),(22359,5),(22360,3),(22361,2),(22362,3),(22363,6),(22364,9),(22365,9),(22366,4),(22367,4),(22368,1),(22369,8),(22370,4),(22371,6),(22372,4),(22373,8),(22374,4),(22375,8),(22376,7),(22377,7),(22378,7),(22379,3),(22380,1),(22381,7),(22382,9),(22383,7),(22384,4),(22385,1),(22386,1),(22387,1),(22388,1),(22389,2),(22390,9),(22391,2),(22392,6),(22393,2),(22394,1),(22395,6),(22396,6),(22397,2),(22398,5),(22399,5),(22400,7),(22401,1),(22402,4),(22403,7),(22404,7),(22405,4),(22406,3),(22407,1),(22408,3),(22409,5),(22410,5),(22411,8),(22412,5),(22413,5),(22414,3),(22415,4),(22416,1),(22417,2),(22418,2),(22419,4),(22420,6),(22421,5),(22422,6),(22423,6),(22424,3),(22425,4),(22426,7),(22427,9),(22428,6),(22429,7),(22430,8),(22431,1),(22432,6),(22433,2),(22434,2),(22435,1),(22436,4),(22437,6),(22438,1),(22439,9),(22440,7),(22441,9),(22442,5),(22443,4),(22444,1),(22445,5),(22446,2),(22447,1),(22448,8),(22449,7),(22450,5),(22451,3),(22452,9),(22453,3),(22454,7),(22455,3),(22456,2),(22457,1),(22458,6),(22459,5),(22460,1),(22461,1),(22462,4),(22463,1),(22464,7),(22465,2),(22466,4),(22467,7),(22468,2),(22469,3),(22470,6),(22471,3),(22472,4),(22473,4),(22474,4),(22475,8),(22476,8),(22477,2),(22478,6),(22479,1),(22480,3),(22481,5),(22482,1),(22483,1),(22484,4),(22485,7),(22486,4),(22487,3),(22488,4),(22489,3),(22490,4),(22491,2),(22492,1),(22493,8),(22494,7),(22495,1),(22496,1),(22497,1),(22498,1),(22499,6),(22500,1),(22501,5),(22502,2),(22503,2),(22504,3),(22505,8),(22506,1),(22507,4),(22508,1),(22509,9),(22510,7),(22511,5),(22512,5),(22513,8),(22514,9),(22515,5),(22516,2),(22517,4),(22518,4),(22519,7),(22520,1),(22521,8),(22522,3),(22523,9),(22524,7),(22525,2),(22526,9),(22527,5),(22528,6),(22529,8),(22530,2),(22531,8),(22532,4),(22533,8),(22534,8),(22535,1),(22536,7),(22537,9),(22538,3),(22539,9),(22540,3),(22541,6),(22542,6),(22543,6),(22544,5),(22545,4),(22546,9),(22547,7),(22548,9),(22549,8),(22550,5),(22551,3),(22552,5),(22553,5),(22554,3),(22555,9),(22556,5),(22557,2),(22558,3),(22559,2),(22560,6),(22561,8),(22562,4),(22563,3),(22564,2),(22565,8),(22566,2),(22567,8),(22568,4),(22569,3),(22570,9),(22571,6),(22572,3),(22573,8),(22574,6),(22575,1),(22576,4),(22577,9),(22578,1),(22579,5),(22580,4),(22581,1),(22582,2),(22583,9),(22584,7),(22585,8),(22586,4),(22587,6),(22588,2),(22589,7),(22590,9),(22591,1),(22592,5),(22593,6),(22594,6),(22595,5),(22596,4),(22597,6),(22598,9),(22599,4),(22600,7),(22601,3),(22602,4),(22603,5),(22604,5),(22605,9),(22606,1),(22607,5),(22608,7),(22609,4),(22610,2),(22611,9),(22612,9),(22613,2),(22614,7),(22615,9),(22616,9),(22617,5),(22618,5),(22619,1),(22620,5),(22621,3),(22622,3),(22623,3),(22624,6),(22625,8),(22626,7),(22627,3),(22628,2),(22629,5),(22630,4),(22631,3),(22632,6),(22633,3),(22634,5),(22635,1),(22636,1),(22637,4),(22638,3),(22639,1),(22640,2),(22641,8),(22642,3),(22643,7),(22644,8),(22645,9),(22646,9),(22647,4),(22648,6),(22649,1),(22650,3),(22651,8),(22652,5),(22653,8),(22654,9),(22655,5),(22656,4),(22657,2),(22658,1),(22659,9),(22660,2),(22661,1),(22662,9),(22663,4),(22664,5),(22665,9),(22666,2),(22667,1),(22668,9),(22669,1),(22670,2),(22671,5),(22672,7),(22673,5),(22674,6),(22675,7),(22676,3),(22677,1),(22678,6),(22679,4),(22680,8),(22681,4),(22682,2),(22683,9),(22684,3),(22685,6),(22686,3),(22687,4),(22688,6),(22689,9),(22690,2),(22691,4),(22692,1),(22693,8),(22694,8),(22695,8),(22696,4),(22697,8),(22698,1),(22699,7),(22700,2),(22701,7),(22702,2),(22703,6),(22704,5),(22705,1),(22706,9),(22707,2),(22708,8),(22709,5),(22710,8),(22711,2),(22712,8),(22713,2),(22714,7),(22715,2),(22716,5),(22717,5),(22718,5),(22719,3),(22720,3),(22721,7),(22722,2),(22723,7),(22724,5),(22725,5),(22726,8),(22727,6),(22728,2),(22729,9),(22730,9),(22731,2),(22732,8),(22733,2),(22734,6),(22735,5),(22736,8),(22737,6),(22738,7),(22739,8),(22740,6),(22741,5),(22742,2),(22743,5),(22744,1),(22745,8),(22746,1),(22747,4),(22748,1),(22749,9),(22750,7),(22751,5),(22752,2),(22753,6),(22754,2),(22755,4),(22756,6),(22757,8),(22758,9),(22759,2),(22760,2),(22761,3),(22762,7),(22763,9),(22764,6),(22765,2),(22766,6),(22767,4),(22768,8),(22769,4),(22770,3),(22771,7),(22772,7),(22773,5),(22774,6),(22775,8),(22776,8),(22777,8),(22778,5),(22779,7),(22780,2),(22781,4),(22782,5),(22783,2),(22784,5),(22785,6),(22786,4),(22787,7),(22788,4),(22789,9),(22790,4),(22791,8),(22792,9),(22793,4),(22794,6),(22795,5),(22796,9),(22797,3),(22798,8),(22799,2),(22800,9),(22801,7),(22802,9),(22803,4),(22804,8),(22805,5),(22806,2),(22807,3),(22808,5),(22809,5),(22810,4),(22811,7),(22812,4),(22813,4),(22814,2),(22815,3),(22816,7),(22817,8),(22818,5),(22819,5),(22820,3),(22821,3),(22822,1),(22823,6),(22824,8),(22825,9),(22826,7),(22827,2),(22828,8),(22829,8),(22830,4),(22831,7),(22832,4),(22833,4),(22834,5),(22835,7),(22836,8),(22837,3),(22838,7),(22839,1),(22840,8),(22841,9),(22842,8),(22843,9),(22844,1),(22845,6),(22846,9),(22847,1),(22848,8),(22849,6),(22850,9),(22851,1),(22852,1),(22853,8),(22854,3),(22855,3),(22856,2),(22857,8),(22858,2),(22859,7),(22860,4),(22861,3),(22862,2),(22863,3),(22864,7),(22865,1),(22866,6),(22867,7),(22868,5),(22869,8),(22870,7),(22871,4),(22872,1),(22873,8),(22874,6),(22875,6),(22876,2),(22877,9),(22878,9),(22879,2),(22880,3),(22881,4),(22882,3),(22883,6),(22884,8),(22885,9),(22886,7),(22887,1),(22888,3),(22889,2),(22890,5),(22891,4),(22892,6),(22893,5),(22894,1),(22895,1),(22896,8),(22897,2),(22898,5),(22899,2),(22900,9),(22901,7),(22902,7),(22903,3),(22904,3),(22905,3),(22906,9),(22907,2),(22908,7),(22909,1),(22910,7),(22911,3),(22912,1),(22913,7),(22914,1),(22915,3),(22916,7),(22917,8),(22918,1),(22919,9),(22920,3),(22921,7),(22922,2),(22923,3),(22924,3),(22925,3),(22926,2),(22927,3),(22928,5),(22929,4),(22930,2),(22931,5),(22932,5),(22933,8),(22934,6),(22935,3),(22936,2),(22937,2),(22938,4),(22939,7),(22940,4),(22941,2),(22942,9),(22943,7),(22944,9),(22945,2),(22946,7),(22947,4),(22948,1),(22949,8),(22950,5),(22951,7),(22952,9),(22953,8),(22954,3),(22955,3),(22956,1),(22957,2),(22958,9),(22959,4),(22960,4),(22961,9),(22962,4),(22963,5),(22964,2),(22965,2),(22966,3),(22967,2),(22968,3),(22969,3),(22970,6),(22971,5),(22972,2),(22973,7),(22974,5),(22975,1),(22976,4),(22977,2),(22978,6),(22979,2),(22980,2),(22981,9),(22982,3),(22983,1),(22984,1),(22985,2),(22986,7),(22987,2),(22988,3),(22989,3),(22990,9),(22991,6),(22992,5),(22993,6),(22994,9),(22995,6),(22996,2),(22997,3),(22998,5),(22999,1),(23000,9),(23001,7),(23002,9),(23003,9),(23004,4),(23005,8),(23006,6),(23007,7),(23008,6),(23009,5),(23010,6),(23011,3),(23012,8),(23013,7),(23014,6),(23015,7),(23016,1),(23017,6),(23018,1),(23019,1),(23020,5),(23021,3),(23022,1),(23023,2),(23024,9),(23025,8),(23026,7),(23027,6),(23028,4),(23029,7),(23030,1),(23031,2),(23032,7),(23033,8),(23034,3),(23035,1),(23036,7),(23037,1),(23038,2),(23039,8),(23040,7),(23041,5),(23042,2),(23043,9),(23044,5),(23045,5),(23046,3),(23047,4),(23048,7),(23049,6),(23050,7),(23051,2),(23052,9),(23053,2),(23054,2),(23055,7),(23056,9),(23057,4),(23058,4),(23059,5),(23060,5),(23061,9),(23062,8),(23063,5),(23064,2),(23065,2),(23066,6),(23067,7),(23068,3),(23069,6),(23070,1),(23071,2),(23072,4),(23073,3),(23074,4),(23075,3),(23076,9),(23077,3),(23078,4),(23079,2),(23080,3),(23081,6),(23082,4),(23083,4),(23084,3),(23085,5),(23086,9),(23087,6),(23088,3),(23089,1),(23090,2),(23091,1),(23092,6),(23093,3),(23094,6),(23095,5),(23096,1),(23097,9),(23098,2),(23099,1),(23100,3),(23101,5),(23102,9),(23103,4),(23104,8),(23105,2),(23106,5),(23107,1),(23108,6),(23109,8),(23110,6),(23111,3),(23112,2),(23113,2),(23114,8),(23115,3),(23116,6),(23117,7),(23118,5),(23119,8),(23120,9),(23121,5),(23122,7),(23123,9),(23124,7),(23125,5),(23126,6),(23127,2),(23128,1),(23129,4),(23130,8),(23131,5),(23132,6),(23133,5),(23134,7),(23135,4),(23136,3),(23137,7),(23138,7),(23139,8),(23140,2),(23141,8),(23142,2),(23143,8),(23144,5),(23145,6),(23146,1),(23147,1),(23148,4),(23149,1),(23150,3),(23151,9),(23152,6),(23153,4),(23154,5),(23155,6),(23156,9),(23157,7),(23158,1),(23159,4),(23160,4),(23161,2),(23162,5),(23163,8),(23164,2),(23165,2),(23166,5),(23167,9),(23168,8),(23169,9),(23170,8),(23171,7),(23172,1),(23173,6),(23174,7),(23175,9),(23176,5),(23177,3),(23178,3),(23179,7),(23180,2),(23181,9),(23182,1),(23183,9),(23184,3),(23185,5),(23186,2),(23187,9),(23188,2),(23189,5),(23190,4),(23191,7),(23192,9),(23193,4),(23194,4),(23195,7),(23196,1),(23197,1),(23198,7),(23199,2),(23200,5),(23201,1),(23202,7),(23203,2),(23204,8),(23205,4),(23206,8),(23207,3),(23208,9),(23209,5),(23210,8),(23211,5),(23212,8),(23213,1),(23214,7),(23215,8),(23216,4),(23217,5),(23218,8),(23219,6),(23220,2),(23221,3),(23222,9),(23223,8),(23224,3),(23225,7),(23226,4),(23227,1),(23228,5),(23229,2),(23230,4),(23231,2),(23232,3),(23233,3),(23234,7),(23235,5),(23236,2),(23237,1),(23238,2),(23239,5),(23240,9),(23241,2),(23242,4),(23243,8),(23244,5),(23245,7),(23246,3),(23247,3),(23248,2),(23249,7),(23250,5),(23251,4),(23252,7),(23253,1),(23254,8),(23255,7),(23256,4),(23257,1),(23258,7),(23259,2),(23260,5),(23261,1),(23262,5),(23263,7),(23264,5),(23265,7),(23266,1),(23267,3),(23268,7),(23269,8),(23270,8),(23271,2),(23272,3),(23273,2),(23274,8),(23275,4),(23276,5),(23277,7),(23278,1),(23279,3),(23280,2),(23281,2),(23282,7),(23283,5),(23284,9),(23285,4),(23286,6),(23287,5),(23288,8),(23289,4),(23290,3),(23291,7),(23292,2),(23293,6),(23294,3),(23295,7),(23296,6),(23297,5),(23298,1),(23299,8),(23300,4),(23301,2),(23302,7),(23303,3),(23304,1),(23305,2),(23306,5),(23307,3),(23308,3),(23309,1),(23310,3),(23311,1),(23312,4),(23313,9),(23314,1),(23315,8),(23316,8),(23317,4),(23318,1),(23319,7),(23320,2),(23321,5),(23322,2),(23323,2),(23324,3),(23325,2),(23326,8),(23327,4),(23328,3),(23329,3),(23330,4),(23331,2),(23332,6),(23333,1),(23334,2),(23335,3),(23336,3),(23337,6),(23338,2),(23339,8),(23340,2),(23341,3),(23342,4),(23343,3),(23344,1),(23345,3),(23346,8),(23347,5),(23348,1),(23349,9),(23350,9),(23351,2),(23352,8),(23353,6),(23354,9),(23355,5),(23356,3),(23357,7),(23358,6),(23359,7),(23360,3),(23361,5),(23362,4),(23363,3),(23364,5),(23365,8),(23366,1),(23367,3),(23368,9),(23369,3),(23370,8),(23371,6),(23372,1),(23373,9),(23374,1),(23375,7),(23376,4),(23377,7),(23378,3),(23379,7),(23380,6),(23381,1),(23382,7),(23383,1),(23384,7),(23385,9),(23386,7),(23387,9),(23388,8),(23389,4),(23390,9),(23391,8),(23392,8),(23393,7),(23394,8),(23395,2),(23396,6),(23397,3),(23398,9),(23399,5),(23400,2),(23401,9),(23402,4),(23403,5),(23404,9),(23405,2),(23406,5),(23407,6),(23408,5),(23409,4),(23410,2),(23411,1),(23412,4),(23413,3),(23414,6),(23415,7),(23416,1),(23417,1),(23418,7),(23419,7),(23420,1),(23421,4),(23422,6),(23423,7),(23424,3),(23425,3),(23426,4),(23427,6),(23428,9),(23429,8),(23430,4),(23431,3),(23432,3),(23433,5),(23434,3),(23435,5),(23436,1),(23437,9),(23438,8),(23439,3),(23440,9),(23441,2),(23442,3),(23443,8),(23444,5),(23445,1),(23446,2),(23447,4),(23448,5),(23449,5),(23450,5),(23451,3),(23452,4),(23453,1),(23454,5),(23455,7),(23456,4),(23457,2),(23458,3),(23459,8),(23460,8),(23461,9),(23462,9),(23463,1),(23464,1),(23465,6),(23466,7),(23467,9),(23468,1),(23469,6),(23470,3),(23471,7),(23472,5),(23473,5),(23474,1),(23475,1),(23476,4),(23477,6),(23478,5),(23479,5),(23480,1),(23481,6),(23482,7),(23483,5),(23484,5),(23485,4),(23486,4),(23487,5),(23488,1),(23489,3),(23490,8),(23491,5),(23492,5),(23493,9),(23494,2),(23495,3),(23496,6),(23497,3),(23498,8),(23499,5),(23500,3),(23501,3),(23502,2),(23503,7),(23504,1),(23505,5),(23506,5),(23507,2),(23508,1),(23509,7),(23510,8),(23511,9),(23512,4),(23513,1),(23514,2),(23515,5),(23516,6),(23517,4),(23518,2),(23519,2),(23520,3),(23521,1),(23522,3),(23523,4),(23524,8),(23525,2),(23526,4),(23527,5),(23528,6),(23529,4),(23530,3),(23531,8),(23532,7),(23533,5),(23534,6),(23535,1),(23536,8),(23537,4),(23538,7),(23539,9),(23540,9),(23541,3),(23542,4),(23543,9),(23544,3),(23545,3),(23546,5),(23547,6),(23548,9),(23549,6),(23550,3),(23551,4),(23552,6),(23553,7),(23554,7),(23555,4),(23556,7),(23557,9),(23558,6),(23559,5),(23560,1),(23561,9),(23562,9),(23563,8),(23564,5),(23565,6),(23566,6),(23567,2),(23568,2),(23569,1),(23570,6),(23571,2),(23572,9),(23573,9),(23574,8),(23575,2),(23576,3),(23577,3),(23578,5),(23579,6),(23580,2),(23581,1),(23582,2),(23583,9),(23584,6),(23585,1),(23586,2),(23587,9),(23588,6),(23589,2),(23590,7),(23591,9),(23592,5),(23593,2),(23594,4),(23595,9),(23596,9),(23597,1),(23598,1),(23599,6),(23600,4),(23601,4),(23602,6),(23603,2),(23604,7),(23605,8),(23606,9),(23607,3),(23608,9),(23609,4),(23610,9),(23611,2),(23612,9),(23613,8),(23614,7),(23615,5),(23616,9),(23617,5),(23618,2),(23619,8),(23620,9),(23621,3),(23622,9),(23623,1),(23624,9),(23625,6),(23626,2),(23627,3),(23628,9),(23629,5),(23630,4),(23631,9),(23632,5),(23633,6),(23634,5),(23635,6),(23636,2),(23637,3),(23638,1),(23639,5),(23640,2),(23641,3),(23642,6),(23643,7),(23644,2),(23645,3),(23646,7),(23647,6),(23648,3),(23649,6),(23650,7),(23651,5),(23652,4),(23653,8),(23654,7),(23655,2),(23656,4),(23657,2),(23658,6),(23659,4),(23660,1),(23661,6),(23662,6),(23663,6),(23664,6),(23665,3),(23666,6),(23667,5),(23668,7),(23669,7),(23670,5),(23671,8),(23672,1),(23673,3),(23674,9),(23675,6),(23676,3),(23677,7),(23678,6),(23679,8),(23680,3),(23681,1),(23682,5),(23683,5),(23684,5),(23685,4),(23686,5),(23687,8),(23688,1),(23689,9),(23690,1),(23691,9),(23692,5),(23693,8),(23694,2),(23695,2),(23696,6),(23697,5),(23698,3),(23699,9),(23700,4),(23701,4),(23702,8),(23703,9),(23704,8),(23705,3),(23706,3),(23707,2),(23708,9),(23709,1),(23710,5),(23711,6),(23712,7),(23713,5),(23714,1),(23715,4),(23716,5),(23717,8),(23718,4),(23719,3),(23720,7),(23721,6),(23722,8),(23723,8),(23724,4),(23725,2),(23726,6),(23727,8),(23728,4),(23729,5),(23730,6),(23731,1),(23732,4),(23733,2),(23734,1),(23735,5),(23736,6),(23737,7),(23738,3),(23739,1),(23740,5),(23741,2),(23742,7),(23743,2),(23744,4),(23745,3),(23746,5),(23747,6),(23748,2),(23749,4),(23750,4),(23751,8),(23752,6),(23753,4),(23754,7),(23755,9),(23756,7),(23757,9),(23758,2),(23759,9),(23760,7),(23761,5),(23762,4),(23763,6),(23764,5),(23765,7),(23766,7),(23767,4),(23768,2),(23769,3),(23770,6),(23771,5),(23772,3),(23773,5),(23774,3),(23775,7),(23776,9),(23777,6),(23778,8),(23779,4),(23780,8),(23781,7),(23782,4),(23783,4),(23784,4),(23785,9),(23786,3),(23787,5),(23788,7),(23789,8),(23790,8),(23791,7),(23792,8),(23793,7),(23794,4),(23795,1),(23796,3),(23797,1),(23798,8),(23799,7),(23800,3),(23801,7),(23802,9),(23803,6),(23804,8),(23805,2),(23806,2),(23807,4),(23808,3),(23809,7),(23810,8),(23811,7),(23812,8),(23813,5),(23814,9),(23815,2),(23816,8),(23817,8),(23818,9),(23819,2),(23820,5),(23821,7),(23822,3),(23823,4),(23824,6),(23825,6),(23826,4),(23827,4),(23828,3),(23829,7),(23830,3),(23831,6),(23832,7),(23833,8),(23834,9),(23835,6),(23836,2),(23837,4),(23838,7),(23839,4),(23840,4),(23841,9),(23842,3),(23843,5),(23844,6),(23845,1),(23846,6),(23847,4),(23848,2),(23849,2),(23850,6),(23851,8),(23852,1),(23853,8),(23854,1),(23855,6),(23856,2),(23857,4),(23858,1),(23859,9),(23860,2),(23861,2),(23862,9),(23863,1),(23864,8),(23865,1),(23866,2),(23867,3),(23868,4),(23869,9),(23870,6),(23871,6),(23872,6),(23873,4),(23874,4),(23875,5),(23876,1),(23877,9),(23878,1),(23879,6),(23880,4),(23881,6),(23882,7),(23883,7),(23884,3),(23885,3),(23886,9),(23887,4),(23888,8),(23889,7),(23890,6),(23891,9),(23892,5),(23893,6),(23894,7),(23895,7),(23896,2),(23897,6),(23898,3),(23899,2),(23900,7),(23901,9),(23902,8),(23903,8),(23904,6),(23905,6),(23906,5),(23907,5),(23908,6),(23909,1),(23910,3),(23911,4),(23912,3),(23913,2),(23914,4),(23915,9),(23916,8),(23917,2),(23918,5),(23919,4),(23920,5),(23921,5),(23922,3),(23923,7),(23924,9),(23925,1),(23926,5),(23927,4),(23928,8),(23929,1),(23930,6),(23931,6),(23932,3),(23933,6),(23934,2),(23935,7),(23936,8),(23937,9),(23938,7),(23939,1),(23940,9),(23941,9),(23942,1),(23943,4),(23944,9),(23945,9),(23946,5),(23947,2),(23948,1),(23949,8),(23950,7),(23951,6),(23952,4),(23953,4),(23954,4),(23955,7),(23956,8),(23957,9),(23958,9),(23959,9),(23960,4),(23961,1),(23962,5),(23963,1),(23964,3),(23965,5),(23966,4),(23967,2),(23968,6),(23969,6),(23970,3),(23971,7),(23972,2),(23973,6),(23974,8),(23975,8),(23976,6),(23977,6),(23978,2),(23979,1),(23980,7),(23981,5),(23982,3),(23983,3),(23984,6),(23985,8),(23986,4),(23987,6),(23988,1),(23989,2),(23990,4),(23991,7),(23992,2),(23993,9),(23994,5),(23995,8),(23996,1),(23997,9),(23998,8),(23999,2),(24000,5),(24001,2),(24002,8),(24003,2),(24004,1),(24005,9),(24006,5),(24007,2),(24008,8),(24009,9),(24010,2),(24011,4),(24012,1),(24013,1),(24014,7),(24015,2),(24016,7),(24017,6),(24018,6),(24019,9),(24020,7),(24021,5),(24022,5),(24023,8),(24024,6),(24025,4),(24026,1),(24027,7),(24028,1),(24029,4),(24030,7),(24031,5),(24032,8),(24033,6),(24034,2),(24035,2),(24036,4),(24037,5),(24038,4),(24039,9),(24040,1),(24041,6),(24042,9),(24043,8),(24044,6),(24045,1),(24046,3),(24047,3),(24048,6),(24049,3),(24050,8),(24051,5),(24052,2),(24053,8),(24054,7),(24055,6),(24056,1),(24057,5),(24058,9),(24059,9),(24060,9),(24061,2),(24062,4),(24063,6),(24064,4),(24065,5),(24066,7),(24067,9),(24068,6),(24069,9),(24070,2),(24071,1),(24072,9),(24073,4),(24074,8),(24075,1),(24076,1),(24077,6),(24078,5),(24079,9),(24080,2),(24081,6),(24082,9),(24083,7),(24084,5),(24085,8),(24086,4),(24087,6),(24088,5),(24089,7),(24090,4),(24091,9),(24092,5),(24093,2),(24094,7),(24095,9),(24096,5),(24097,2),(24098,6),(24099,4),(24100,5),(24101,1),(24102,2),(24103,7),(24104,8),(24105,4),(24106,8),(24107,6),(24108,6),(24109,4),(24110,6),(24111,6),(24112,9),(24113,7),(24114,3),(24115,2),(24116,3),(24117,1),(24118,3),(24119,2),(24120,5),(24121,3),(24122,4),(24123,2),(24124,7),(24125,8),(24126,5),(24127,7),(24128,6),(24129,2),(24130,4),(24131,1),(24132,2),(24133,5),(24134,4),(24135,1),(24136,4),(24137,3),(24138,1),(24139,5),(24140,8),(24141,7),(24142,1),(24143,8),(24144,5),(24145,4),(24146,6),(24147,6),(24148,4),(24149,9),(24150,8),(24151,1),(24152,4),(24153,9),(24154,8),(24155,9),(24156,7),(24157,5),(24158,9),(24159,5),(24160,7),(24161,4),(24162,9),(24163,6),(24164,5),(24165,5),(24166,6),(24167,4),(24168,9),(24169,8),(24170,4),(24171,8),(24172,9),(24173,5),(24174,1),(24175,7),(24176,7),(24177,2),(24178,9),(24179,7),(24180,8),(24181,3),(24182,1),(24183,8),(24184,7),(24185,6),(24186,9),(24187,1),(24188,8),(24189,6),(24190,8),(24191,2),(24192,7),(24193,7),(24194,5),(24195,7),(24196,8),(24197,8),(24198,7),(24199,9),(24200,3),(24201,7),(24202,4),(24203,2),(24204,7),(24205,6),(24206,3),(24207,7),(24208,4),(24209,4),(24210,9),(24211,8),(24212,9),(24213,2),(24214,5),(24215,5),(24216,2),(24217,4),(24218,4),(24219,3),(24220,3),(24221,3),(24222,9),(24223,4),(24224,3),(24225,3),(24226,3),(24227,1),(24228,8),(24229,3),(24230,6),(24231,4),(24232,9),(24233,8),(24234,6),(24235,1),(24236,9),(24237,5),(24238,2),(24239,9),(24240,6),(24241,5),(24242,2),(24243,2),(24244,7),(24245,4),(24246,4),(24247,1),(24248,3),(24249,1),(24250,8),(24251,8),(24252,9),(24253,5),(24254,2),(24255,8),(24256,8),(24257,3),(24258,4),(24259,5),(24260,9),(24261,1),(24262,5),(24263,4),(24264,2),(24265,4),(24266,7),(24267,7),(24268,6),(24269,4),(24270,6),(24271,1),(24272,3),(24273,9),(24274,8),(24275,1),(24276,4),(24277,8),(24278,1),(24279,8),(24280,3),(24281,9),(24282,3),(24283,4),(24284,5),(24285,3),(24286,6),(24287,5),(24288,9),(24289,9),(24290,8),(24291,8),(24292,4),(24293,2),(24294,1),(24295,2),(24296,4),(24297,8),(24298,9),(24299,9),(24300,5),(24301,6),(24302,9),(24303,9),(24304,2),(24305,8),(24306,6),(24307,1),(24308,3),(24309,5),(24310,4),(24311,4),(24312,2),(24313,9),(24314,7),(24315,4),(24316,5),(24317,8),(24318,4),(24319,5),(24320,6),(24321,8),(24322,3),(24323,2),(24324,5),(24325,9),(24326,1),(24327,7),(24328,5),(24329,8),(24330,3),(24331,7),(24332,5),(24333,8),(24334,7),(24335,4),(24336,8),(24337,2),(24338,3),(24339,9),(24340,4),(24341,6),(24342,7),(24343,4),(24344,3),(24345,6),(24346,5),(24347,9),(24348,9),(24349,3),(24350,2),(24351,5),(24352,7),(24353,5),(24354,3),(24355,3),(24356,1),(24357,5),(24358,1),(24359,6),(24360,5),(24361,6),(24362,2),(24363,1),(24364,9),(24365,1),(24366,5),(24367,4),(24368,5),(24369,6),(24370,1),(24371,3),(24372,7),(24373,4),(24374,9),(24375,2),(24376,7),(24377,4),(24378,1),(24379,4),(24380,5),(24381,5),(24382,5),(24383,8),(24384,3),(24385,4),(24386,5),(24387,6),(24388,9),(24389,6),(24390,7),(24391,8),(24392,8),(24393,8),(24394,2),(24395,8),(24396,7),(24397,3),(24398,9),(24399,2),(24400,3),(24401,1),(24402,3),(24403,6),(24404,4),(24405,9),(24406,1),(24407,4),(24408,8),(24409,3),(24410,8),(24411,9),(24412,5),(24413,3),(24414,2),(24415,4),(24416,6),(24417,9),(24418,1),(24419,8),(24420,3),(24421,6),(24422,2),(24423,2),(24424,1),(24425,6),(24426,4),(24427,1),(24428,3),(24429,7),(24430,4),(24431,2),(24432,2),(24433,7),(24434,7),(24435,6),(24436,5),(24437,5),(24438,1),(24439,1),(24440,7),(24441,3),(24442,5),(24443,5),(24444,6),(24445,5),(24446,5),(24447,8),(24448,7),(24449,8),(24450,8),(24451,3),(24452,7),(24453,6),(24454,9),(24455,6),(24456,8),(24457,6),(24458,6),(24459,9),(24460,8),(24461,5),(24462,1),(24463,2),(24464,6),(24465,2),(24466,5),(24467,8),(24468,7),(24469,9),(24470,3),(24471,1),(24472,5),(24473,5),(24474,6),(24475,4),(24476,4),(24477,5),(24478,1),(24479,7),(24480,4),(24481,1),(24482,1),(24483,5),(24484,6),(24485,6),(24486,1),(24487,1),(24488,1),(24489,8),(24490,1),(24491,3),(24492,2),(24493,7),(24494,1),(24495,1),(24496,1),(24497,9),(24498,9),(24499,3),(24500,8),(24501,6),(24502,4),(24503,2),(24504,5),(24505,4),(24506,5),(24507,8),(24508,4),(24509,4),(24510,6),(24511,9),(24512,5),(24513,6),(24514,8),(24515,8),(24516,3),(24517,1),(24518,9),(24519,9),(24520,3),(24521,1),(24522,2),(24523,2),(24524,4),(24525,8),(24526,6),(24527,1),(24528,3),(24529,3),(24530,9),(24531,6),(24532,7),(24533,4),(24534,6),(24535,5),(24536,2),(24537,2),(24538,7),(24539,9),(24540,2),(24541,4),(24542,7),(24543,5),(24544,4),(24545,5),(24546,3),(24547,5),(24548,9),(24549,4),(24550,2),(24551,5),(24552,1),(24553,2),(24554,6),(24555,6),(24556,3),(24557,5),(24558,9),(24559,8),(24560,7),(24561,1),(24562,5),(24563,4),(24564,6),(24565,2),(24566,2),(24567,7),(24568,5),(24569,7),(24570,2),(24571,6),(24572,2),(24573,5),(24574,3),(24575,2),(24576,6),(24577,4),(24578,8),(24579,6),(24580,4),(24581,6),(24582,6),(24583,8),(24584,9),(24585,9),(24586,4),(24587,6),(24588,9),(24589,4),(24590,4),(24591,1),(24592,3),(24593,3),(24594,3),(24595,1),(24596,1),(24597,7),(24598,1),(24599,9),(24600,2),(24601,9),(24602,4),(24603,2),(24604,7),(24605,7),(24606,4),(24607,4),(24608,7),(24609,7),(24610,7),(24611,8),(24612,4),(24613,5),(24614,2),(24615,1),(24616,9),(24617,7),(24618,8),(24619,5),(24620,3),(24621,4),(24622,7),(24623,3),(24624,9),(24625,8),(24626,4),(24627,2),(24628,8),(24629,7),(24630,2),(24631,6),(24632,3),(24633,1),(24634,6),(24635,7),(24636,4),(24637,3),(24638,1),(24639,1),(24640,5),(24641,8),(24642,4),(24643,2),(24644,9),(24645,3),(24646,2),(24647,3),(24648,9),(24649,6),(24650,2),(24651,2),(24652,6),(24653,5),(24654,3),(24655,6),(24656,5),(24657,4),(24658,5),(24659,2),(24660,7),(24661,2),(24662,9),(24663,5),(24664,6),(24665,1),(24666,2),(24667,9),(24668,5),(24669,2),(24670,6),(24671,1),(24672,8),(24673,3),(24674,7),(24675,7),(24676,9),(24677,6),(24678,9),(24679,7),(24680,6),(24681,1),(24682,6),(24683,9),(24684,5),(24685,4),(24686,5),(24687,5),(24688,2),(24689,8),(24690,7),(24691,1),(24692,1),(24693,1),(24694,8),(24695,8),(24696,2),(24697,4),(24698,4),(24699,5),(24700,7),(24701,1),(24702,9),(24703,7),(24704,3),(24705,6),(24706,4),(24707,7),(24708,1),(24709,1),(24710,1),(24711,2),(24712,2),(24713,6),(24714,7),(24715,5),(24716,4),(24717,8),(24718,7),(24719,3),(24720,5),(24721,4),(24722,8),(24723,1),(24724,4),(24725,8),(24726,4),(24727,5),(24728,3),(24729,6),(24730,4),(24731,8),(24732,3),(24733,9),(24734,6),(24735,2),(24736,8),(24737,3),(24738,2),(24739,4),(24740,1),(24741,4),(24742,4),(24743,9),(24744,3),(24745,3),(24746,9),(24747,1),(24748,9),(24749,7),(24750,6),(24751,3),(24752,6),(24753,9),(24754,1),(24755,5),(24756,1),(24757,6),(24758,8),(24759,1),(24760,4),(24761,5),(24762,2),(24763,3),(24764,6),(24765,4),(24766,3),(24767,6),(24768,5),(24769,5),(24770,5),(24771,5),(24772,9),(24773,1),(24774,8),(24775,6),(24776,6),(24777,8),(24778,8),(24779,8),(24780,1),(24781,6),(24782,9),(24783,6),(24784,4),(24785,6),(24786,6),(24787,9),(24788,7),(24789,4),(24790,9),(24791,5),(24792,1),(24793,3),(24794,3),(24795,1),(24796,7),(24797,5),(24798,1),(24799,9),(24800,7),(24801,8),(24802,1),(24803,5),(24804,7),(24805,6),(24806,8),(24807,1),(24808,3),(24809,3),(24810,5),(24811,2),(24812,1),(24813,6),(24814,5),(24815,8),(24816,6),(24817,4),(24818,3),(24819,8),(24820,2),(24821,5),(24822,8),(24823,6),(24824,9),(24825,8),(24826,4),(24827,8),(24828,1),(24829,4),(24830,7),(24831,2),(24832,3),(24833,5),(24834,9),(24835,7),(24836,5),(24837,5),(24838,5),(24839,6),(24840,1),(24841,7),(24842,5),(24843,5),(24844,3),(24845,9),(24846,5),(24847,8),(24848,6),(24849,1),(24850,1),(24851,5),(24852,6),(24853,8),(24854,3),(24855,7),(24856,4),(24857,8),(24858,6),(24859,9),(24860,8),(24861,2),(24862,9),(24863,6),(24864,3),(24865,6),(24866,9),(24867,1),(24868,4),(24869,4),(24870,3),(24871,5),(24872,6),(24873,7),(24874,8),(24875,7),(24876,8),(24877,2),(24878,6),(24879,7),(24880,1),(24881,1),(24882,6),(24883,3),(24884,1),(24885,7),(24886,8),(24887,9),(24888,3),(24889,4),(24890,9),(24891,2),(24892,2),(24893,5),(24894,1),(24895,7),(24896,9),(24897,6),(24898,3),(24899,9),(24900,6),(24901,2),(24902,3),(24903,5),(24904,1),(24905,3),(24906,4),(24907,5),(24908,4),(24909,9),(24910,1),(24911,3),(24912,4),(24913,9),(24914,3),(24915,5),(24916,7),(24917,5),(24918,4),(24919,7),(24920,4),(24921,5),(24922,4),(24923,7),(24924,4),(24925,9),(24926,5),(24927,2),(24928,8),(24929,8),(24930,8),(24931,5),(24932,1),(24933,1),(24934,3),(24935,9),(24936,4),(24937,2),(24938,4),(24939,8),(24940,6),(24941,4),(24942,9),(24943,5),(24944,7),(24945,6),(24946,2),(24947,2),(24948,8),(24949,7),(24950,9),(24951,9),(24952,6),(24953,2),(24954,9),(24955,8),(24956,7),(24957,1),(24958,6),(24959,1),(24960,2),(24961,3),(24962,4),(24963,6),(24964,6),(24965,4),(24966,7),(24967,6),(24968,1),(24969,4),(24970,1),(24971,2),(24972,1),(24973,7),(24974,4),(24975,5),(24976,4),(24977,1),(24978,1),(24979,1),(24980,4),(24981,2),(24982,7),(24983,1),(24984,6),(24985,9),(24986,7),(24987,2),(24988,6),(24989,4),(24990,4),(24991,7),(24992,4),(24993,2),(24994,3),(24995,6),(24996,6),(24997,4),(24998,6),(24999,5),(25000,7),(25001,6),(25002,8),(25003,1),(25004,6),(25005,5),(25006,7),(25007,9),(25008,2),(25009,7),(25010,1),(25011,5),(25012,8),(25013,5),(25014,1),(25015,8),(25016,9),(25017,7),(25018,6),(25019,8),(25020,8),(25021,9),(25022,7),(25023,4),(25024,5),(25025,4),(25026,4),(25027,8),(25028,6),(25029,7),(25030,6),(25031,5),(25032,7),(25033,5),(25034,8),(25035,5),(25036,1),(25037,4),(25038,3),(25039,1),(25040,6),(25041,7),(25042,7),(25043,8),(25044,1),(25045,1),(25046,3),(25047,7),(25048,6),(25049,6),(25050,1),(25051,8),(25052,9),(25053,7),(25054,7),(25055,7),(25056,2),(25057,3),(25058,4),(25059,8),(25060,7),(25061,9),(25062,3),(25063,6),(25064,8),(25065,6),(25066,8),(25067,4),(25068,4),(25069,6),(25070,2),(25071,8),(25072,2),(25073,4),(25074,4),(25075,7),(25076,3),(25077,7),(25078,5),(25079,6),(25080,3),(25081,8),(25082,7),(25083,4),(25084,9),(25085,9),(25086,7),(25087,1),(25088,5),(25089,7),(25090,2),(25091,6),(25092,4),(25093,1),(25094,8),(25095,3),(25096,1),(25097,7),(25098,6),(25099,5),(25100,3),(25101,6),(25102,6),(25103,1),(25104,3),(25105,4),(25106,5),(25107,6),(25108,8),(25109,9),(25110,8),(25111,7),(25112,3),(25113,6),(25114,8),(25115,8),(25116,6),(25117,5),(25118,6),(25119,7),(25120,7),(25121,8),(25122,4),(25123,4),(25124,9),(25125,7),(25126,4),(25127,4),(25128,2),(25129,9),(25130,3),(25131,3),(25132,7),(25133,7),(25134,1),(25135,2),(25136,6),(25137,5),(25138,2),(25139,3),(25140,4),(25141,2),(25142,9),(25143,5),(25144,1),(25145,9),(25146,5),(25147,3),(25148,7),(25149,4),(25150,3),(25151,7),(25152,1),(25153,8),(25154,6),(25155,7),(25156,4),(25157,5),(25158,8),(25159,6),(25160,5),(25161,4),(25162,8),(25163,5),(25164,9),(25165,4),(25166,6),(25167,1),(25168,2),(25169,3),(25170,8),(25171,2),(25172,8),(25173,2),(25174,8),(25175,9),(25176,7),(25177,6),(25178,2),(25179,2),(25180,5),(25181,9),(25182,1),(25183,3),(25184,2),(25185,6),(25186,3),(25187,1),(25188,7),(25189,4),(25190,9),(25191,4),(25192,8),(25193,6),(25194,8),(25195,3),(25196,6),(25197,9),(25198,9),(25199,9),(25200,6),(25201,3),(25202,8),(25203,3),(25204,7),(25205,1),(25206,9),(25207,1),(25208,8),(25209,9),(25210,1),(25211,9),(25212,2),(25213,2),(25214,3),(25215,3),(25216,9),(25217,2),(25218,9),(25219,3),(25220,2),(25221,8),(25222,7),(25223,6),(25224,1),(25225,9),(25226,2),(25227,2),(25228,7),(25229,1),(25230,8),(25231,2),(25232,1),(25233,6),(25234,6),(25235,7),(25236,4),(25237,9),(25238,7),(25239,9),(25240,9),(25241,8),(25242,9),(25243,4),(25244,6),(25245,3),(25246,9),(25247,5),(25248,4),(25249,6),(25250,6),(25251,1),(25252,2),(25253,9),(25254,7),(25255,2),(25256,6),(25257,5),(25258,7),(25259,3),(25260,2),(25261,6),(25262,4),(25263,8),(25264,2),(25265,6),(25266,4),(25267,7),(25268,8),(25269,7),(25270,3),(25271,1),(25272,4),(25273,2),(25274,3),(25275,5),(25276,1),(25277,8),(25278,2),(25279,7),(25280,8),(25281,6),(25282,1),(25283,6),(25284,5),(25285,5),(25286,3),(25287,3),(25288,6),(25289,4),(25290,7),(25291,9),(25292,3),(25293,3),(25294,9),(25295,7),(25296,2),(25297,9),(25298,9),(25299,5),(25300,6),(25301,9),(25302,4),(25303,8),(25304,8),(25305,2),(25306,7),(25307,2),(25308,2),(25309,6),(25310,5),(25311,4),(25312,5),(25313,5),(25314,9),(25315,5),(25316,2),(25317,4),(25318,1),(25319,6),(25320,9),(25321,1),(25322,8),(25323,2),(25324,3),(25325,9),(25326,6),(25327,4),(25328,6),(25329,2),(25330,3),(25331,2),(25332,3),(25333,7),(25334,9),(25335,9),(25336,2),(25337,5),(25338,6),(25339,1),(25340,8),(25341,6),(25342,7),(25343,7),(25344,4),(25345,5),(25346,3),(25347,5),(25348,6),(25349,2),(25350,6),(25351,1),(25352,7),(25353,5),(25354,3),(25355,2),(25356,2),(25357,3),(25358,9),(25359,1),(25360,4),(25361,6),(25362,4),(25363,7),(25364,4),(25365,2),(25366,5),(25367,4),(25368,7),(25369,5),(25370,6),(25371,5),(25372,9),(25373,7),(25374,2),(25375,5),(25376,7),(25377,8),(25378,3),(25379,5),(25380,4),(25381,3),(25382,3),(25383,1),(25384,7),(25385,3),(25386,7),(25387,7),(25388,1),(25389,3),(25390,8),(25391,8),(25392,1),(25393,1),(25394,6),(25395,8),(25396,5),(25397,7),(25398,8),(25399,5),(25400,3),(25401,3),(25402,2),(25403,5),(25404,5),(25405,5),(25406,3),(25407,2),(25408,2),(25409,5),(25410,4),(25411,7),(25412,8),(25413,9),(25414,7),(25415,9),(25416,3),(25417,6),(25418,3),(25419,9),(25420,5),(25421,5),(25422,5),(25423,2),(25424,3),(25425,5),(25426,3),(25427,6),(25428,9),(25429,9),(25430,5),(25431,7),(25432,8),(25433,4),(25434,7),(25435,3),(25436,1),(25437,8),(25438,6),(25439,9),(25440,6),(25441,9),(25442,8),(25443,9),(25444,1),(25445,4),(25446,9),(25447,2),(25448,2),(25449,7),(25450,3),(25451,7),(25452,7),(25453,1),(25454,4),(25455,2),(25456,6),(25457,7),(25458,8),(25459,7),(25460,9),(25461,9),(25462,5),(25463,3),(25464,5),(25465,2),(25466,6),(25467,4),(25468,6),(25469,3),(25470,8),(25471,7),(25472,4),(25473,8),(25474,9),(25475,3),(25476,5),(25477,7),(25478,3),(25479,6),(25480,1),(25481,3),(25482,5),(25483,1),(25484,4),(25485,1),(25486,3),(25487,3),(25488,7),(25489,3),(25490,8),(25491,5),(25492,1),(25493,1),(25494,7),(25495,4),(25496,8),(25497,5),(25498,6),(25499,5),(25500,6),(25501,6),(25502,3),(25503,8),(25504,8),(25505,7),(25506,7),(25507,3),(25508,3),(25509,6),(25510,3),(25511,1),(25512,4),(25513,6),(25514,3),(25515,1),(25516,6),(25517,4),(25518,1),(25519,8),(25520,8),(25521,9),(25522,5),(25523,5),(25524,2),(25525,6),(25526,5),(25527,6),(25528,2),(25529,6),(25530,2),(25531,8),(25532,3),(25533,6),(25534,2),(25535,6),(25536,3),(25537,8),(25538,2),(25539,1),(25540,8),(25541,5),(25542,5),(25543,9),(25544,4),(25545,4),(25546,7),(25547,8),(25548,3),(25549,9),(25550,3),(25551,5),(25552,1),(25553,4),(25554,1),(25555,8),(25556,5),(25557,9),(25558,8),(25559,1),(25560,1),(25561,8),(25562,9),(25563,9),(25564,1),(25565,9),(25566,2),(25567,5),(25568,1),(25569,7),(25570,6),(25571,1),(25572,3),(25573,7),(25574,9),(25575,4),(25576,9),(25577,8),(25578,2),(25579,2),(25580,8),(25581,6),(25582,6),(25583,3),(25584,4),(25585,3),(25586,1),(25587,9),(25588,2),(25589,5),(25590,3),(25591,6),(25592,8),(25593,9),(25594,2),(25595,6),(25596,4),(25597,5),(25598,9),(25599,8),(25600,4),(25601,8),(25602,8),(25603,7),(25604,4),(25605,4),(25606,7),(25607,8),(25608,2),(25609,6),(25610,1),(25611,5),(25612,6),(25613,6),(25614,3),(25615,9),(25616,5),(25617,6),(25618,7),(25619,2),(25620,4),(25621,8),(25622,2),(25623,9),(25624,5),(25625,6),(25626,7),(25627,1),(25628,3),(25629,8),(25630,2),(25631,6),(25632,3),(25633,8),(25634,4),(25635,5),(25636,4),(25637,9),(25638,7),(25639,1),(25640,5),(25641,2),(25642,1),(25643,9),(25644,2),(25645,8),(25646,1),(25647,8),(25648,6),(25649,8),(25650,6),(25651,1),(25652,6),(25653,2),(25654,3),(25655,7),(25656,7),(25657,7),(25658,8),(25659,3),(25660,5),(25661,8),(25662,5),(25663,6),(25664,1),(25665,4),(25666,7),(25667,9),(25668,7),(25669,9),(25670,4),(25671,3),(25672,8),(25673,4),(25674,8),(25675,8),(25676,8),(25677,6),(25678,3),(25679,1),(25680,5),(25681,7),(25682,7),(25683,9),(25684,9),(25685,2),(25686,9),(25687,2),(25688,7),(25689,3),(25690,7),(25691,5),(25692,7),(25693,2),(25694,9),(25695,8),(25696,4),(25697,6),(25698,3),(25699,3),(25700,3),(25701,6),(25702,9),(25703,9),(25704,7),(25705,1),(25706,4),(25707,4),(25708,3),(25709,9),(25710,2),(25711,5),(25712,2),(25713,4),(25714,3),(25715,6),(25716,3),(25717,8),(25718,1),(25719,9),(25720,7),(25721,6),(25722,4),(25723,8),(25724,2),(25725,3),(25726,6),(25727,7),(25728,9),(25729,5),(25730,7),(25731,8),(25732,8),(25733,1),(25734,8),(25735,1),(25736,2),(25737,3),(25738,7),(25739,7),(25740,1),(25741,4),(25742,2),(25743,5),(25744,3),(25745,5),(25746,3),(25747,6),(25748,4),(25749,2),(25750,8),(25751,9),(25752,3),(25753,2),(25754,2),(25755,5),(25756,4),(25757,8),(25758,5),(25759,4),(25760,4),(25761,4),(25762,5),(25763,6),(25764,9),(25765,9),(25766,5),(25767,5),(25768,6),(25769,1),(25770,5),(25771,8),(25772,9),(25773,7),(25774,5),(25775,8),(25776,2),(25777,7),(25778,2),(25779,6),(25780,8),(25781,9),(25782,8),(25783,4),(25784,7),(25785,5),(25786,8),(25787,2),(25788,3),(25789,4),(25790,8),(25791,4),(25792,4),(25793,5),(25794,7),(25795,8),(25796,8),(25797,2),(25798,5),(25799,9),(25800,5),(25801,5),(25802,2),(25803,1),(25804,7),(25805,2),(25806,8),(25807,1),(25808,6),(25809,7),(25810,1),(25811,1),(25812,4),(25813,1),(25814,3),(25815,2),(25816,4),(25817,8),(25818,9),(25819,9),(25820,1),(25821,8),(25822,3),(25823,9),(25824,5),(25825,9),(25826,4),(25827,2),(25828,3),(25829,3),(25830,9),(25831,7),(25832,6),(25833,4),(25834,5),(25835,8),(25836,9),(25837,4),(25838,1),(25839,9),(25840,3),(25841,9),(25842,1),(25843,6),(25844,5),(25845,8),(25846,5),(25847,9),(25848,3),(25849,4),(25850,2),(25851,5),(25852,2),(25853,1),(25854,3),(25855,8),(25856,3),(25857,9),(25858,9),(25859,7),(25860,8),(25861,1),(25862,8),(25863,9),(25864,8),(25865,4),(25866,1),(25867,8),(25868,5),(25869,4),(25870,7),(25871,7),(25872,4),(25873,3),(25874,8),(25875,5),(25876,1),(25877,5),(25878,7),(25879,4),(25880,8),(25881,3),(25882,5),(25883,6),(25884,1),(25885,7),(25886,9),(25887,7),(25888,2),(25889,6),(25890,7),(25891,2),(25892,1),(25893,4),(25894,6),(25895,6),(25896,8),(25897,8),(25898,8),(25899,8),(25900,7),(25901,7),(25902,7),(25903,8),(25904,1),(25905,9),(25906,1),(25907,4),(25908,6),(25909,9),(25910,4),(25911,1),(25912,9),(25913,2),(25914,1),(25915,2),(25916,9),(25917,8),(25918,1),(25919,7),(25920,2),(25921,7),(25922,2),(25923,6),(25924,3),(25925,7),(25926,7),(25927,4),(25928,6),(25929,6),(25930,5),(25931,6),(25932,5),(25933,8),(25934,5),(25935,2),(25936,9),(25937,8),(25938,3),(25939,5),(25940,1),(25941,2),(25942,8),(25943,7),(25944,9),(25945,2),(25946,2),(25947,4),(25948,5),(25949,2),(25950,2),(25951,5),(25952,6),(25953,6),(25954,6),(25955,6),(25956,8),(25957,4),(25958,9),(25959,5),(25960,1),(25961,2),(25962,3),(25963,4),(25964,2),(25965,4),(25966,6),(25967,8),(25968,4),(25969,3),(25970,5),(25971,1),(25972,5),(25973,8),(25974,1),(25975,7),(25976,5),(25977,9),(25978,1),(25979,1),(25980,3),(25981,6),(25982,8),(25983,4),(25984,8),(25985,1),(25986,9),(25987,4),(25988,4),(25989,4),(25990,3),(25991,6),(25992,9),(25993,1),(25994,5),(25995,7),(25996,5),(25997,6),(25998,2),(25999,8),(26000,9),(26001,6),(26002,7),(26003,8),(26004,3),(26005,4),(26006,3),(26007,2),(26008,3),(26009,5),(26010,2),(26011,4),(26012,7),(26013,5),(26014,8),(26015,1),(26016,6),(26017,4),(26018,7),(26019,9),(26020,7),(26021,5),(26022,8),(26023,9),(26024,4),(26025,3),(26026,2),(26027,8),(26028,2),(26029,9),(26030,3),(26031,2),(26032,2),(26033,2),(26034,1),(26035,6),(26036,2),(26037,4),(26038,9),(26039,7),(26040,1),(26041,7),(26042,1),(26043,9),(26044,1),(26045,7),(26046,5),(26047,9),(26048,7),(26049,7),(26050,3),(26051,3),(26052,7),(26053,1),(26054,7),(26055,6),(26056,6),(26057,3),(26058,5),(26059,1),(26060,6),(26061,1),(26062,4),(26063,9),(26064,5),(26065,1),(26066,8),(26067,5),(26068,9),(26069,3),(26070,4),(26071,8),(26072,5),(26073,6),(26074,6),(26075,1),(26076,9),(26077,4),(26078,9),(26079,5),(26080,8),(26081,5),(26082,8),(26083,7),(26084,8),(26085,7),(26086,8),(26087,3),(26088,9),(26089,7),(26090,8),(26091,1),(26092,4),(26093,8),(26094,2),(26095,4),(26096,8),(26097,9),(26098,6),(26099,3),(26100,6),(26101,2),(26102,8),(26103,4),(26104,4),(26105,5),(26106,4),(26107,4),(26108,8),(26109,1),(26110,7),(26111,1),(26112,5),(26113,2),(26114,8),(26115,4),(26116,4),(26117,3),(26118,3),(26119,9),(26120,9),(26121,1),(26122,1),(26123,7),(26124,1),(26125,4),(26126,6),(26127,1),(26128,8),(26129,8),(26130,4),(26131,6),(26132,4),(26133,9),(26134,5),(26135,2),(26136,7),(26137,9),(26138,9),(26139,5),(26140,3),(26141,7),(26142,8),(26143,6),(26144,1),(26145,2),(26146,8),(26147,5),(26148,3),(26149,2),(26150,2),(26151,1),(26152,1),(26153,9),(26154,7),(26155,2),(26156,9),(26157,7),(26158,8),(26159,9),(26160,1),(26161,7),(26162,4),(26163,5),(26164,1),(26165,8),(26166,7),(26167,6),(26168,9),(26169,7),(26170,1),(26171,5),(26172,5),(26173,1),(26174,1),(26175,1),(26176,3),(26177,6),(26178,4),(26179,4),(26180,9),(26181,2),(26182,2),(26183,8),(26184,5),(26185,7),(26186,8),(26187,9),(26188,9),(26189,4),(26190,1),(26191,5),(26192,3),(26193,5),(26194,9),(26195,1),(26196,6),(26197,8),(26198,8),(26199,1),(26200,3),(26201,5),(26202,3),(26203,8),(26204,8),(26205,7),(26206,1),(26207,6),(26208,9),(26209,4),(26210,8),(26211,3),(26212,6),(26213,2),(26214,4),(26215,6),(26216,3),(26217,7),(26218,7),(26219,3),(26220,3),(26221,7),(26222,2),(26223,6),(26224,3),(26225,4),(26226,1),(26227,7),(26228,5),(26229,3),(26230,4),(26231,8),(26232,1),(26233,8),(26234,6),(26235,1),(26236,4),(26237,7),(26238,4),(26239,5),(26240,3),(26241,2),(26242,7),(26243,1),(26244,2),(26245,9),(26246,4),(26247,7),(26248,8),(26249,9),(26250,1),(26251,8),(26252,3),(26253,9),(26254,9),(26255,4),(26256,1),(26257,3),(26258,4),(26259,8),(26260,6),(26261,7),(26262,4),(26263,5),(26264,2),(26265,7),(26266,3),(26267,3),(26268,7),(26269,2),(26270,2),(26271,9),(26272,6),(26273,7),(26274,7),(26275,2),(26276,4),(26277,1),(26278,2),(26279,2),(26280,8),(26281,8),(26282,5),(26283,1),(26284,8),(26285,9),(26286,6),(26287,2),(26288,4),(26289,9),(26290,4),(26291,6),(26292,8),(26293,3),(26294,6),(26295,7),(26296,2),(26297,2),(26298,9),(26299,5),(26300,5),(26301,8),(26302,1),(26303,1),(26304,5),(26305,2),(26306,3),(26307,9),(26308,8),(26309,4),(26310,5),(26311,4),(26312,2),(26313,5),(26314,4),(26315,3),(26316,8),(26317,2),(26318,4),(26319,5),(26320,2),(26321,3),(26322,5),(26323,9),(26324,2),(26325,3),(26326,3),(26327,1),(26328,2),(26329,7),(26330,3),(26331,8),(26332,8),(26333,3),(26334,9),(26335,4),(26336,2),(26337,1),(26338,2),(26339,3),(26340,3),(26341,2),(26342,9),(26343,1),(26344,5),(26345,5),(26346,7),(26347,8),(26348,7),(26349,8),(26350,1),(26351,9),(26352,3),(26353,7),(26354,9),(26355,6),(26356,7),(26357,7),(26358,7),(26359,2),(26360,7),(26361,1),(26362,7),(26363,7),(26364,6),(26365,6),(26366,2),(26367,1),(26368,2),(26369,3),(26370,5),(26371,5),(26372,7),(26373,7),(26374,7),(26375,3),(26376,6),(26377,6),(26378,4),(26379,6),(26380,8),(26381,4),(26382,7),(26383,7),(26384,1),(26385,4),(26386,8),(26387,3),(26388,6),(26389,5),(26390,8),(26391,9),(26392,4),(26393,2),(26394,6),(26395,9),(26396,4),(26397,9),(26398,5),(26399,1),(26400,9),(26401,6),(26402,7),(26403,6),(26404,4),(26405,6),(26406,2),(26407,2),(26408,4),(26409,4),(26410,6),(26411,3),(26412,1),(26413,5),(26414,1),(26415,9),(26416,5),(26417,9),(26418,2),(26419,1),(26420,1),(26421,7),(26422,1),(26423,4),(26424,9),(26425,6),(26426,3),(26427,6),(26428,7),(26429,2),(26430,2),(26431,8),(26432,1),(26433,3),(26434,2),(26435,3),(26436,9),(26437,3),(26438,4),(26439,4),(26440,6),(26441,6),(26442,8),(26443,7),(26444,8),(26445,1),(26446,6),(26447,4),(26448,6),(26449,4),(26450,2),(26451,1),(26452,3),(26453,7),(26454,3),(26455,3),(26456,6),(26457,2),(26458,5),(26459,2),(26460,8),(26461,8),(26462,6),(26463,8),(26464,9),(26465,3),(26466,2),(26467,4),(26468,3),(26469,9),(26470,5),(26471,1),(26472,4),(26473,7),(26474,7),(26475,9),(26476,8),(26477,2),(26478,7),(26479,8),(26480,1),(26481,5),(26482,3),(26483,5),(26484,5),(26485,1),(26486,7),(26487,6),(26488,5),(26489,7),(26490,9),(26491,8),(26492,5),(26493,1),(26494,6),(26495,3),(26496,8),(26497,1),(26498,3),(26499,2),(26500,3),(26501,9),(26502,1),(26503,5),(26504,8),(26505,4),(26506,2),(26507,3),(26508,3),(26509,3),(26510,3),(26511,5),(26512,9),(26513,2),(26514,4),(26515,2),(26516,9),(26517,2),(26518,5),(26519,5),(26520,3),(26521,3),(26522,7),(26523,2),(26524,8),(26525,3),(26526,9),(26527,9),(26528,9),(26529,9),(26530,4),(26531,4),(26532,5),(26533,1),(26534,5),(26535,1),(26536,6),(26537,5),(26538,9),(26539,1),(26540,8),(26541,5),(26542,8),(26543,5),(26544,9),(26545,6),(26546,2),(26547,7),(26548,6),(26549,5),(26550,5),(26551,6),(26552,5),(26553,6),(26554,7),(26555,3),(26556,4),(26557,4),(26558,3),(26559,6),(26560,8),(26561,3),(26562,3),(26563,6),(26564,3),(26565,9),(26566,3),(26567,6),(26568,6),(26569,9),(26570,8),(26571,7),(26572,9),(26573,5),(26574,1),(26575,2),(26576,8),(26577,1),(26578,4),(26579,6),(26580,8),(26581,7),(26582,3),(26583,5),(26584,9),(26585,5),(26586,6),(26587,8),(26588,5),(26589,9),(26590,3),(26591,2),(26592,9),(26593,3),(26594,8),(26595,9),(26596,5),(26597,7),(26598,9),(26599,8),(26600,9),(26601,6),(26602,5),(26603,9),(26604,4),(26605,9),(26606,6),(26607,3),(26608,6),(26609,3),(26610,9),(26611,8),(26612,1),(26613,5),(26614,5),(26615,2),(26616,1),(26617,6),(26618,5),(26619,8),(26620,2),(26621,9),(26622,1),(26623,1),(26624,6),(26625,1),(26626,8),(26627,9),(26628,4),(26629,3),(26630,2),(26631,6),(26632,4),(26633,5),(26634,2),(26635,1),(26636,9),(26637,3),(26638,8),(26639,5),(26640,1),(26641,7),(26642,3),(26643,3),(26644,1),(26645,1),(26646,8),(26647,4),(26648,6),(26649,1),(26650,4),(26651,8),(26652,3),(26653,4),(26654,8),(26655,6),(26656,4),(26657,8),(26658,7),(26659,9),(26660,6),(26661,6),(26662,2),(26663,1),(26664,3),(26665,8),(26666,6),(26667,3),(26668,7),(26669,8),(26670,3),(26671,9),(26672,9),(26673,6),(26674,9),(26675,3),(26676,3),(26677,6),(26678,5),(26679,6),(26680,4),(26681,7),(26682,2),(26683,4),(26684,2),(26685,5),(26686,5),(26687,1),(26688,6),(26689,7),(26690,8),(26691,5),(26692,9),(26693,7),(26694,4),(26695,7),(26696,1),(26697,1),(26698,9),(26699,1),(26700,6),(26701,9),(26702,1),(26703,8),(26704,8),(26705,2),(26706,6),(26707,8),(26708,7),(26709,2),(26710,3),(26711,4),(26712,4),(26713,3),(26714,7),(26715,6),(26716,5),(26717,7),(26718,7),(26719,5),(26720,1),(26721,4),(26722,1),(26723,8),(26724,1),(26725,3),(26726,5),(26727,5),(26728,6),(26729,3),(26730,7),(26731,3),(26732,8),(26733,7),(26734,9),(26735,3),(26736,3),(26737,6),(26738,1),(26739,9),(26740,5),(26741,5),(26742,5),(26743,7),(26744,1),(26745,6),(26746,8),(26747,7),(26748,9),(26749,8),(26750,4),(26751,4),(26752,1),(26753,4),(26754,3),(26755,1),(26756,8),(26757,7),(26758,5),(26759,3),(26760,2),(26761,4),(26762,3),(26763,9),(26764,2),(26765,9),(26766,8),(26767,6),(26768,2),(26769,6),(26770,5),(26771,2),(26772,6),(26773,5),(26774,5),(26775,6),(26776,2),(26777,2),(26778,1),(26779,2),(26780,4),(26781,8),(26782,2),(26783,1),(26784,2),(26785,9),(26786,7),(26787,9),(26788,2),(26789,2),(26790,2),(26791,9),(26792,9),(26793,4),(26794,5),(26795,6),(26796,9),(26797,6),(26798,5),(26799,8),(26800,9),(26801,3),(26802,1),(26803,5),(26804,2),(26805,1),(26806,8),(26807,5),(26808,7),(26809,5),(26810,1),(26811,4),(26812,5),(26813,5),(26814,2),(26815,3),(26816,2),(26817,5),(26818,4),(26819,6),(26820,9),(26821,4),(26822,6),(26823,9),(26824,7),(26825,6),(26826,6),(26827,6),(26828,3),(26829,8),(26830,3),(26831,7),(26832,8),(26833,1),(26834,8),(26835,6),(26836,5),(26837,1),(26838,2),(26839,6),(26840,4),(26841,5),(26842,6),(26843,3),(26844,4),(26845,2),(26846,1),(26847,6),(26848,8),(26849,6),(26850,4),(26851,1),(26852,7),(26853,1),(26854,1),(26855,5),(26856,4),(26857,7),(26858,4),(26859,6),(26860,3),(26861,7),(26862,8),(26863,7),(26864,7),(26865,9),(26866,2),(26867,7),(26868,4),(26869,3),(26870,1),(26871,3),(26872,7),(26873,6),(26874,2),(26875,6),(26876,3),(26877,9),(26878,7),(26879,2),(26880,1),(26881,2),(26882,3),(26883,1),(26884,3),(26885,7),(26886,8),(26887,2),(26888,6),(26889,7),(26890,4),(26891,2),(26892,4),(26893,4),(26894,7),(26895,1),(26896,1),(26897,7),(26898,3),(26899,4),(26900,9),(26901,4),(26902,3),(26903,2),(26904,6),(26905,2),(26906,8),(26907,2),(26908,2),(26909,7),(26910,1),(26911,1),(26912,6),(26913,5),(26914,5),(26915,1),(26916,3),(26917,2),(26918,2),(26919,2),(26920,2),(26921,9),(26922,5),(26923,7),(26924,5),(26925,5),(26926,5),(26927,8),(26928,1),(26929,7),(26930,3),(26931,8),(26932,7),(26933,2),(26934,6),(26935,1),(26936,8),(26937,6),(26938,8),(26939,2),(26940,4),(26941,2),(26942,4),(26943,4),(26944,2),(26945,4),(26946,7),(26947,6),(26948,7),(26949,8),(26950,8),(26951,1),(26952,8),(26953,1),(26954,4),(26955,4),(26956,9),(26957,7),(26958,9),(26959,9),(26960,9),(26961,3),(26962,2),(26963,5),(26964,7),(26965,8),(26966,9),(26967,9),(26968,2),(26969,7),(26970,3),(26971,3),(26972,8),(26973,9),(26974,8),(26975,7),(26976,9),(26977,5),(26978,5),(26979,8),(26980,4),(26981,7),(26982,4),(26983,9),(26984,4),(26985,3),(26986,6),(26987,4),(26988,9),(26989,6),(26990,8),(26991,9),(26992,6),(26993,2),(26994,5),(26995,3),(26996,4),(26997,5),(26998,1),(26999,4),(27000,7),(27001,5),(27002,1),(27003,8),(27004,7),(27005,4),(27006,9),(27007,3),(27008,1),(27009,9),(27010,3),(27011,3),(27012,5),(27013,8),(27014,1),(27015,3),(27016,9),(27017,4),(27018,4),(27019,9),(27020,9),(27021,4),(27022,6),(27023,4),(27024,2),(27025,2),(27026,9),(27027,2),(27028,7),(27029,9),(27030,5),(27031,4),(27032,7),(27033,3),(27034,8),(27035,4),(27036,6),(27037,4),(27038,4),(27039,1),(27040,4),(27041,1),(27042,4),(27043,1),(27044,4),(27045,2),(27046,7),(27047,7),(27048,5),(27049,7),(27050,5),(27051,7),(27052,8),(27053,1),(27054,6),(27055,8),(27056,7),(27057,5),(27058,2),(27059,8),(27060,1),(27061,6),(27062,4),(27063,7),(27064,1),(27065,3),(27066,5),(27067,9),(27068,1),(27069,9),(27070,3),(27071,1),(27072,9),(27073,4),(27074,2),(27075,1),(27076,2),(27077,8),(27078,3),(27079,8),(27080,1),(27081,1),(27082,7),(27083,4),(27084,8),(27085,8),(27086,2),(27087,6),(27088,4),(27089,2),(27090,4),(27091,8),(27092,4),(27093,5),(27094,5),(27095,6),(27096,1),(27097,8),(27098,7),(27099,2),(27100,1),(27101,9),(27102,4),(27103,4),(27104,5),(27105,5),(27106,4),(27107,8),(27108,4),(27109,3),(27110,9),(27111,1),(27112,8),(27113,9),(27114,3),(27115,6),(27116,1),(27117,7),(27118,2),(27119,7),(27120,9),(27121,4),(27122,4),(27123,4),(27124,2),(27125,1),(27126,3),(27127,4),(27128,9),(27129,7),(27130,3),(27131,9),(27132,5),(27133,1),(27134,7),(27135,5),(27136,8),(27137,3),(27138,8),(27139,6),(27140,6),(27141,4),(27142,3),(27143,8),(27144,6),(27145,7),(27146,1),(27147,8),(27148,2),(27149,3),(27150,5),(27151,5),(27152,3),(27153,3),(27154,2),(27155,9),(27156,8),(27157,5),(27158,7),(27159,2),(27160,3),(27161,4),(27162,3),(27163,8),(27164,6),(27165,9),(27166,9),(27167,6),(27168,1),(27169,3),(27170,4),(27171,1),(27172,5),(27173,8),(27174,5),(27175,2),(27176,9),(27177,2),(27178,2),(27179,1),(27180,3),(27181,6),(27182,5),(27183,3),(27184,3),(27185,6),(27186,6),(27187,2),(27188,6),(27189,6),(27190,7),(27191,1),(27192,8),(27193,4),(27194,1),(27195,6),(27196,5),(27197,4),(27198,8),(27199,3),(27200,5),(27201,3),(27202,3),(27203,9),(27204,2),(27205,3),(27206,3),(27207,9),(27208,8),(27209,5),(27210,3),(27211,8),(27212,7),(27213,2),(27214,1),(27215,7),(27216,2),(27217,1),(27218,2),(27219,2),(27220,4),(27221,1),(27222,4),(27223,7),(27224,8),(27225,9),(27226,6),(27227,2),(27228,6),(27229,4),(27230,9),(27231,8),(27232,3),(27233,1),(27234,2),(27235,8),(27236,5),(27237,8),(27238,3),(27239,9),(27240,1),(27241,3),(27242,9),(27243,8),(27244,1),(27245,1),(27246,8),(27247,6),(27248,9),(27249,4),(27250,4),(27251,3),(27252,5),(27253,5),(27254,3),(27255,2),(27256,5),(27257,1),(27258,5),(27259,5),(27260,6),(27261,3),(27262,6),(27263,2),(27264,1),(27265,5),(27266,7),(27267,4),(27268,6),(27269,6),(27270,1),(27271,7),(27272,6),(27273,1),(27274,8),(27275,7),(27276,4),(27277,1),(27278,6),(27279,5),(27280,5),(27281,3),(27282,7),(27283,2),(27284,8),(27285,9),(27286,7),(27287,2),(27288,9),(27289,8),(27290,7),(27291,5),(27292,2),(27293,6),(27294,4),(27295,2),(27296,9),(27297,9),(27298,2),(27299,5),(27300,4),(27301,2),(27302,6),(27303,3),(27304,4),(27305,9),(27306,8),(27307,6),(27308,1),(27309,7),(27310,5),(27311,1),(27312,1),(27313,5),(27314,8),(27315,4),(27316,8),(27317,2),(27318,6),(27319,3),(27320,8),(27321,8),(27322,1),(27323,7),(27324,3),(27325,2),(27326,9),(27327,4),(27328,2),(27329,6),(27330,3),(27331,8),(27332,3),(27333,4),(27334,7),(27335,2),(27336,1),(27337,7),(27338,3),(27339,6),(27340,3),(27341,8),(27342,6),(27343,3),(27344,5),(27345,2),(27346,3),(27347,7),(27348,5),(27349,1),(27350,5),(27351,4),(27352,7),(27353,8),(27354,8),(27355,6),(27356,5),(27357,9),(27358,4),(27359,5),(27360,9),(27361,5),(27362,6),(27363,9),(27364,7),(27365,4),(27366,8),(27367,9),(27368,6),(27369,9),(27370,4),(27371,2),(27372,9),(27373,7),(27374,6),(27375,2),(27376,4),(27377,1),(27378,1),(27379,2),(27380,5),(27381,5),(27382,8),(27383,2),(27384,8),(27385,7),(27386,4),(27387,1),(27388,5),(27389,5),(27390,6),(27391,1),(27392,7),(27393,1),(27394,5),(27395,3),(27396,6),(27397,8),(27398,5),(27399,1),(27400,6),(27401,2),(27402,5),(27403,6),(27404,1),(27405,8),(27406,2),(27407,4),(27408,1),(27409,5),(27410,7),(27411,4),(27412,5),(27413,8),(27414,3),(27415,5),(27416,1),(27417,1),(27418,1),(27419,5),(27420,3),(27421,7),(27422,6),(27423,8),(27424,2),(27425,3),(27426,9),(27427,2),(27428,7),(27429,3),(27430,4),(27431,7),(27432,1),(27433,9),(27434,6),(27435,9),(27436,8),(27437,8),(27438,5),(27439,4),(27440,9),(27441,9),(27442,9),(27443,5),(27444,5),(27445,6),(27446,5),(27447,6),(27448,1),(27449,9),(27450,9),(27451,3),(27452,9),(27453,2),(27454,7),(27455,2),(27456,8),(27457,7),(27458,1),(27459,3),(27460,2),(27461,9),(27462,8),(27463,7),(27464,9),(27465,8),(27466,8),(27467,5),(27468,6),(27469,2),(27470,9),(27471,2),(27472,7),(27473,1),(27474,1),(27475,9),(27476,4),(27477,6),(27478,5),(27479,4),(27480,3),(27481,8),(27482,3),(27483,6),(27484,5),(27485,4),(27486,4),(27487,1),(27488,8),(27489,2),(27490,6),(27491,1),(27492,3),(27493,2),(27494,9),(27495,9),(27496,9),(27497,9),(27498,1),(27499,5),(27500,3),(27501,3),(27502,3),(27503,7),(27504,5),(27505,2),(27506,3),(27507,1),(27508,1),(27509,9),(27510,9),(27511,7),(27512,3),(27513,9),(27514,5),(27515,9),(27516,1),(27517,5),(27518,4),(27519,3),(27520,1),(27521,1),(27522,3),(27523,2),(27524,4),(27525,8),(27526,2),(27527,6),(27528,7),(27529,1),(27530,1),(27531,1),(27532,6),(27533,3),(27534,1),(27535,5),(27536,3),(27537,4),(27538,2),(27539,7),(27540,7),(27541,5),(27542,3),(27543,1),(27544,2),(27545,2),(27546,8),(27547,8),(27548,4),(27549,3),(27550,9),(27551,5),(27552,2),(27553,6),(27554,1),(27555,6),(27556,1),(27557,6),(27558,2),(27559,3),(27560,6),(27561,4),(27562,9),(27563,1),(27564,8),(27565,6),(27566,1),(27567,6),(27568,9),(27569,7),(27570,9),(27571,2),(27572,7),(27573,7),(27574,8),(27575,2),(27576,7),(27577,3),(27578,7),(27579,9),(27580,7),(27581,7),(27582,7),(27583,6),(27584,5),(27585,8),(27586,7),(27587,9),(27588,4),(27589,6),(27590,5),(27591,1),(27592,5),(27593,9),(27594,7),(27595,4),(27596,1),(27597,7),(27598,3),(27599,7),(27600,8),(27601,8),(27602,3),(27603,6),(27604,3),(27605,3),(27606,5),(27607,8),(27608,2),(27609,5),(27610,2),(27611,2),(27612,6),(27613,3),(27614,2),(27615,9),(27616,9),(27617,3),(27618,2),(27619,3),(27620,3),(27621,3),(27622,8),(27623,5),(27624,5),(27625,7),(27626,3),(27627,5),(27628,1),(27629,7),(27630,1),(27631,5),(27632,1),(27633,1),(27634,5),(27635,7),(27636,4),(27637,5),(27638,3),(27639,1),(27640,9),(27641,4),(27642,6),(27643,4),(27644,2),(27645,4),(27646,2),(27647,5),(27648,3),(27649,6),(27650,9),(27651,8),(27652,1),(27653,1),(27654,1),(27655,9),(27656,7),(27657,7),(27658,1),(27659,8),(27660,5),(27661,8),(27662,6),(27663,1),(27664,7),(27665,7),(27666,6),(27667,2),(27668,2),(27669,7),(27670,7),(27671,6),(27672,6),(27673,4),(27674,4),(27675,1),(27676,2),(27677,6),(27678,5),(27679,3),(27680,8),(27681,3),(27682,3),(27683,8),(27684,9),(27685,3),(27686,5),(27687,9),(27688,2),(27689,2),(27690,1),(27691,1),(27692,5),(27693,5),(27694,5),(27695,1),(27696,4),(27697,1),(27698,3),(27699,3),(27700,5),(27701,3),(27702,2),(27703,3),(27704,2),(27705,3),(27706,4),(27707,5),(27708,3),(27709,5),(27710,2),(27711,6),(27712,9),(27713,8),(27714,5),(27715,7),(27716,4),(27717,4),(27718,3),(27719,5),(27720,1),(27721,5),(27722,2),(27723,1),(27724,7),(27725,7),(27726,5),(27727,9),(27728,7),(27729,5),(27730,1),(27731,9),(27732,3),(27733,7),(27734,5),(27735,8),(27736,1),(27737,1),(27738,2),(27739,4),(27740,1),(27741,3),(27742,2),(27743,1),(27744,9),(27745,3),(27746,5),(27747,3),(27748,1),(27749,1),(27750,7),(27751,1),(27752,7),(27753,2),(27754,6),(27755,4),(27756,9),(27757,8),(27758,4),(27759,5),(27760,6),(27761,1),(27762,4),(27763,3),(27764,3),(27765,3),(27766,8),(27767,9),(27768,3),(27769,1),(27770,7),(27771,4),(27772,8),(27773,8),(27774,8),(27775,4),(27776,9),(27777,3),(27778,7),(27779,4),(27780,7),(27781,9),(27782,7),(27783,8),(27784,7),(27785,4),(27786,2),(27787,1),(27788,6),(27789,4),(27790,8),(27791,7),(27792,3),(27793,1),(27794,7),(27795,1),(27796,8),(27797,9),(27798,9),(27799,1),(27800,4),(27801,6),(27802,2),(27803,9),(27804,7),(27805,8),(27806,6),(27807,1),(27808,3),(27809,9),(27810,9),(27811,1),(27812,4),(27813,5),(27814,5),(27815,3),(27816,6),(27817,6),(27818,3),(27819,8),(27820,1),(27821,9),(27822,8),(27823,9),(27824,6),(27825,6),(27826,3),(27827,7),(27828,8),(27829,9),(27830,9),(27831,4),(27832,4),(27833,3),(27834,7),(27835,2),(27836,4),(27837,4),(27838,2),(27839,5),(27840,4),(27841,5),(27842,5),(27843,7),(27844,1),(27845,5),(27846,2),(27847,4),(27848,5),(27849,8),(27850,8),(27851,3),(27852,8),(27853,6),(27854,4),(27855,5),(27856,4),(27857,2),(27858,2),(27859,3),(27860,6),(27861,2),(27862,6),(27863,3),(27864,4),(27865,6),(27866,8),(27867,9),(27868,8),(27869,4),(27870,6),(27871,5),(27872,2),(27873,4),(27874,6),(27875,9),(27876,9),(27877,4),(27878,1),(27879,5),(27880,2),(27881,8),(27882,8),(27883,5),(27884,4),(27885,4),(27886,5),(27887,3),(27888,4),(27889,7),(27890,3),(27891,8),(27892,8),(27893,8),(27894,1),(27895,9),(27896,1),(27897,4),(27898,4),(27899,2),(27900,8),(27901,8),(27902,4),(27903,5),(27904,2),(27905,5),(27906,2),(27907,2),(27908,8),(27909,8),(27910,6),(27911,8),(27912,8),(27913,6),(27914,6),(27915,2),(27916,4),(27917,7),(27918,1),(27919,4),(27920,2),(27921,3),(27922,3),(27923,1),(27924,1),(27925,1),(27926,8),(27927,8),(27928,5),(27929,3),(27930,4),(27931,6),(27932,6),(27933,1),(27934,2),(27935,9),(27936,2),(27937,2),(27938,3),(27939,6),(27940,5),(27941,3),(27942,5),(27943,5),(27944,6),(27945,4),(27946,4),(27947,9),(27948,7),(27949,7),(27950,9),(27951,6),(27952,2),(27953,7),(27954,5),(27955,1),(27956,1),(27957,1),(27958,9),(27959,2),(27960,3),(27961,9),(27962,2),(27963,4),(27964,7),(27965,6),(27966,2),(27967,1),(27968,5),(27969,3),(27970,8),(27971,2),(27972,3),(27973,8),(27974,6),(27975,5),(27976,1),(27977,8),(27978,7),(27979,7),(27980,5),(27981,6),(27982,4),(27983,5),(27984,3),(27985,8),(27986,6),(27987,3),(27988,8),(27989,7),(27990,7),(27991,1),(27992,7),(27993,7),(27994,4),(27995,7),(27996,7),(27997,1),(27998,6),(27999,6),(28000,3),(28001,2),(28002,2),(28003,7),(28004,5),(28005,4),(28006,9),(28007,9),(28008,1),(28009,7),(28010,7),(28011,5),(28012,2),(28013,5),(28014,9),(28015,9),(28016,6),(28017,7),(28018,7),(28019,3),(28020,7),(28021,7),(28022,6),(28023,8),(28024,7),(28025,5),(28026,5),(28027,9),(28028,3),(28029,2),(28030,1),(28031,8),(28032,8),(28033,6),(28034,2),(28035,9),(28036,5),(28037,2),(28038,8),(28039,1),(28040,5),(28041,9),(28042,1),(28043,2),(28044,6),(28045,7),(28046,9),(28047,4),(28048,5),(28049,9),(28050,4),(28051,7),(28052,6),(28053,2),(28054,9),(28055,5),(28056,7),(28057,7),(28058,6),(28059,9),(28060,3),(28061,2),(28062,9),(28063,3),(28064,9),(28065,4),(28066,7),(28067,1),(28068,7),(28069,5),(28070,6),(28071,8),(28072,7),(28073,8),(28074,5),(28075,2),(28076,2),(28077,6),(28078,3),(28079,2),(28080,2),(28081,9),(28082,3),(28083,5),(28084,6),(28085,9),(28086,3),(28087,9),(28088,6),(28089,9),(28090,9),(28091,6),(28092,9),(28093,5),(28094,7),(28095,6),(28096,2),(28097,3),(28098,6),(28099,4),(28100,1),(28101,2),(28102,4),(28103,8),(28104,9),(28105,3),(28106,7),(28107,1),(28108,5),(28109,9),(28110,9),(28111,4),(28112,5),(28113,2),(28114,9),(28115,9),(28116,2),(28117,1),(28118,3),(28119,4),(28120,8),(28121,8),(28122,7),(28123,2),(28124,5),(28125,9),(28126,2),(28127,8),(28128,6),(28129,6),(28130,6),(28131,1),(28132,5),(28133,3),(28134,4),(28135,7),(28136,5),(28137,6),(28138,6),(28139,2),(28140,3),(28141,9),(28142,5),(28143,7),(28144,4),(28145,3),(28146,3),(28147,3),(28148,9),(28149,6),(28150,4),(28151,3),(28152,7),(28153,4),(28154,5),(28155,5),(28156,4),(28157,7),(28158,5),(28159,9),(28160,7),(28161,1),(28162,5),(28163,1),(28164,7),(28165,1),(28166,4),(28167,9),(28168,5),(28169,9),(28170,9),(28171,8),(28172,8),(28173,5),(28174,6),(28175,5),(28176,8),(28177,8),(28178,6),(28179,2),(28180,7),(28181,9),(28182,9),(28183,2),(28184,3),(28185,2),(28186,1),(28187,7),(28188,5),(28189,5),(28190,7),(28191,3),(28192,5),(28193,7),(28194,2),(28195,6),(28196,9),(28197,6),(28198,1),(28199,1),(28200,4),(28201,4),(28202,5),(28203,7),(28204,9),(28205,2),(28206,5),(28207,5),(28208,7),(28209,3),(28210,7),(28211,9),(28212,4),(28213,1),(28214,5),(28215,4),(28216,7),(28217,9),(28218,3),(28219,7),(28220,4),(28221,5),(28222,7),(28223,3),(28224,4),(28225,7),(28226,5),(28227,1),(28228,8),(28229,8),(28230,8),(28231,9),(28232,4),(28233,7),(28234,7),(28235,7),(28236,6),(28237,8),(28238,5),(28239,5),(28240,5),(28241,8),(28242,4),(28243,2),(28244,4),(28245,2),(28246,6),(28247,7),(28248,7),(28249,2),(28250,3),(28251,6),(28252,1),(28253,9),(28254,2),(28255,1),(28256,7),(28257,3),(28258,7),(28259,3),(28260,6),(28261,7),(28262,8),(28263,6),(28264,9),(28265,1),(28266,1),(28267,9),(28268,2),(28269,6),(28270,5),(28271,9),(28272,4),(28273,4),(28274,1),(28275,6),(28276,2),(28277,5),(28278,6),(28279,2),(28280,8),(28281,2),(28282,6),(28283,5),(28284,2),(28285,4),(28286,7),(28287,4),(28288,7),(28289,5),(28290,7),(28291,9),(28292,1),(28293,3),(28294,4),(28295,2),(28296,6),(28297,7),(28298,6),(28299,5),(28300,1),(28301,6),(28302,3),(28303,6),(28304,6),(28305,6),(28306,1),(28307,2),(28308,6),(28309,1),(28310,7),(28311,3),(28312,8),(28313,8),(28314,8),(28315,9),(28316,7),(28317,4),(28318,7),(28319,5),(28320,7),(28321,9),(28322,7),(28323,5),(28324,1),(28325,3),(28326,7),(28327,5),(28328,9),(28329,5),(28330,9),(28331,9),(28332,9),(28333,5),(28334,5),(28335,7),(28336,3),(28337,8),(28338,1),(28339,9),(28340,4),(28341,3),(28342,7),(28343,8),(28344,4),(28345,3),(28346,8),(28347,4),(28348,1),(28349,7),(28350,5),(28351,3),(28352,4),(28353,7),(28354,4),(28355,7),(28356,5),(28357,3),(28358,3),(28359,9),(28360,2),(28361,6),(28362,7),(28363,7),(28364,3),(28365,2),(28366,3),(28367,9),(28368,9),(28369,4),(28370,1),(28371,5),(28372,7),(28373,3),(28374,4),(28375,2),(28376,7),(28377,4),(28378,7),(28379,3),(28380,4),(28381,7),(28382,9),(28383,4),(28384,5),(28385,6),(28386,9),(28387,9),(28388,2),(28389,1),(28390,5),(28391,3),(28392,1),(28393,3),(28394,3),(28395,2),(28396,5),(28397,4),(28398,5),(28399,5),(28400,4),(28401,9),(28402,5),(28403,7),(28404,8),(28405,3),(28406,5),(28407,2),(28408,6),(28409,1),(28410,7),(28411,5),(28412,3),(28413,7),(28414,2),(28415,1),(28416,2),(28417,2),(28418,8),(28419,1),(28420,8),(28421,2),(28422,8),(28423,5),(28424,3),(28425,8),(28426,2),(28427,9),(28428,6),(28429,7),(28430,9),(28431,2),(28432,1),(28433,5),(28434,1),(28435,6),(28436,9),(28437,6),(28438,8),(28439,7),(28440,2),(28441,6),(28442,6),(28443,2),(28444,6),(28445,7),(28446,5),(28447,4),(28448,6),(28449,6),(28450,6),(28451,5),(28452,7),(28453,2),(28454,1),(28455,8),(28456,5),(28457,4),(28458,9),(28459,8),(28460,3),(28461,4),(28462,8),(28463,4),(28464,2),(28465,4),(28466,8),(28467,4),(28468,4),(28469,8),(28470,9),(28471,2),(28472,8),(28473,4),(28474,2),(28475,7),(28476,6),(28477,5),(28478,8),(28479,2),(28480,5),(28481,1),(28482,8),(28483,8),(28484,1),(28485,4),(28486,5),(28487,2),(28488,3),(28489,8),(28490,9),(28491,4),(28492,6),(28493,2),(28494,1),(28495,7),(28496,5),(28497,3),(28498,7),(28499,5),(28500,5),(28501,4),(28502,5),(28503,6),(28504,1),(28505,6),(28506,5),(28507,1),(28508,9),(28509,6),(28510,9),(28511,8),(28512,4),(28513,8),(28514,4),(28515,9),(28516,9),(28517,3),(28518,8),(28519,2),(28520,2),(28521,9),(28522,1),(28523,4),(28524,9),(28525,4),(28526,2),(28527,3),(28528,9),(28529,4),(28530,4),(28531,9),(28532,8),(28533,6),(28534,9),(28535,2),(28536,9),(28537,8),(28538,8),(28539,3),(28540,2),(28541,6),(28542,4),(28543,8),(28544,4),(28545,8),(28546,1),(28547,8),(28548,6),(28549,8),(28550,9),(28551,7),(28552,1),(28553,6),(28554,9),(28555,5),(28556,7),(28557,9),(28558,4),(28559,5),(28560,1),(28561,5),(28562,6),(28563,7),(28564,1),(28565,1),(28566,7),(28567,5),(28568,2),(28569,4),(28570,2),(28571,1),(28572,9),(28573,2),(28574,6),(28575,6),(28576,5),(28577,4),(28578,2),(28579,1),(28580,5),(28581,5),(28582,6),(28583,7),(28584,8),(28585,6),(28586,9),(28587,7),(28588,5),(28589,1),(28590,3),(28591,4),(28592,8),(28593,8),(28594,8),(28595,9),(28596,9),(28597,9),(28598,7),(28599,2),(28600,4),(28601,4),(28602,8),(28603,1),(28604,2),(28605,2),(28606,6),(28607,3),(28608,4),(28609,4),(28610,6),(28611,9),(28612,9),(28613,7),(28614,9),(28615,4),(28616,8),(28617,2),(28618,3),(28619,5),(28620,1),(28621,8),(28622,1),(28623,1),(28624,2),(28625,1),(28626,6),(28627,4),(28628,1),(28629,9),(28630,6),(28631,3),(28632,3),(28633,8),(28634,3),(28635,5),(28636,8),(28637,8),(28638,8),(28639,4),(28640,2),(28641,1),(28642,2),(28643,5),(28644,4),(28645,8),(28646,2),(28647,8),(28648,6),(28649,2),(28650,8),(28651,2),(28652,4),(28653,7),(28654,5),(28655,7),(28656,5),(28657,3),(28658,4),(28659,9),(28660,7),(28661,6),(28662,2),(28663,3),(28664,3),(28665,2),(28666,6),(28667,6),(28668,9),(28669,4),(28670,3),(28671,7),(28672,9),(28673,6),(28674,2),(28675,9),(28676,2),(28677,2),(28678,9),(28679,6),(28680,8),(28681,6),(28682,6),(28683,3),(28684,7),(28685,1),(28686,9),(28687,5),(28688,7),(28689,7),(28690,6),(28691,9),(28692,4),(28693,9),(28694,6),(28695,8),(28696,7),(28697,6),(28698,9),(28699,7),(28700,8),(28701,3),(28702,8),(28703,2),(28704,5),(28705,9),(28706,1),(28707,9),(28708,5),(28709,8),(28710,6),(28711,1),(28712,5),(28713,3),(28714,7),(28715,1),(28716,2),(28717,3),(28718,8),(28719,9),(28720,2),(28721,2),(28722,2),(28723,9),(28724,5),(28725,3),(28726,5),(28727,8),(28728,4),(28729,2),(28730,8),(28731,1),(28732,4),(28733,5),(28734,6),(28735,9),(28736,9),(28737,7),(28738,8),(28739,9),(28740,9),(28741,6),(28742,5),(28743,7),(28744,4),(28745,3),(28746,8),(28747,9),(28748,4),(28749,4),(28750,8),(28751,1),(28752,2),(28753,3),(28754,8),(28755,6),(28756,3),(28757,5),(28758,8),(28759,8),(28760,1),(28761,1),(28762,1),(28763,9),(28764,7),(28765,5),(28766,2),(28767,5),(28768,6),(28769,9),(28770,1),(28771,3),(28772,7),(28773,5),(28774,4),(28775,1),(28776,6),(28777,1),(28778,2),(28779,4),(28780,2),(28781,6),(28782,3),(28783,1),(28784,6),(28785,2),(28786,3),(28787,4),(28788,2),(28789,8),(28790,6),(28791,5),(28792,6),(28793,4),(28794,1),(28795,2),(28796,5),(28797,8),(28798,1),(28799,5),(28800,9),(28801,1),(28802,6),(28803,7),(28804,2),(28805,9),(28806,4),(28807,7),(28808,5),(28809,8),(28810,5),(28811,2),(28812,4),(28813,3),(28814,9),(28815,4),(28816,2),(28817,2),(28818,1),(28819,9),(28820,9),(28821,1),(28822,5),(28823,4),(28824,7),(28825,9),(28826,7),(28827,6),(28828,6),(28829,7),(28830,7),(28831,4),(28832,9),(28833,9),(28834,7),(28835,9),(28836,2),(28837,3),(28838,6),(28839,5),(28840,3),(28841,5),(28842,3),(28843,6),(28844,9),(28845,9),(28846,2),(28847,8),(28848,4),(28849,2),(28850,3),(28851,7),(28852,5),(28853,8),(28854,3),(28855,1),(28856,7),(28857,2),(28858,2),(28859,8),(28860,2),(28861,7),(28862,4),(28863,1),(28864,6),(28865,8),(28866,6),(28867,5),(28868,7),(28869,8),(28870,5),(28871,5),(28872,8),(28873,6),(28874,4),(28875,6),(28876,7),(28877,9),(28878,5),(28879,5),(28880,4),(28881,3),(28882,3),(28883,8),(28884,9),(28885,4),(28886,3),(28887,8),(28888,2),(28889,7),(28890,1),(28891,5),(28892,9),(28893,7),(28894,5),(28895,7),(28896,1),(28897,4),(28898,2),(28899,4),(28900,6),(28901,8),(28902,1),(28903,2),(28904,6),(28905,4),(28906,9),(28907,6),(28908,3),(28909,9),(28910,7),(28911,1),(28912,4),(28913,2),(28914,5),(28915,8),(28916,2),(28917,2),(28918,5),(28919,2),(28920,1),(28921,2),(28922,6),(28923,4),(28924,2),(28925,9),(28926,6),(28927,7),(28928,4),(28929,3),(28930,3),(28931,5),(28932,8),(28933,5),(28934,3),(28935,5),(28936,6),(28937,1),(28938,9),(28939,7),(28940,8),(28941,2),(28942,4),(28943,7),(28944,3),(28945,8),(28946,6),(28947,7),(28948,6),(28949,3),(28950,4),(28951,9),(28952,5),(28953,1),(28954,4),(28955,5),(28956,4),(28957,8),(28958,1),(28959,8),(28960,4),(28961,5),(28962,1),(28963,4),(28964,8),(28965,4),(28966,8),(28967,3),(28968,1),(28969,9),(28970,6),(28971,9),(28972,5),(28973,1),(28974,9),(28975,8),(28976,2),(28977,8),(28978,7),(28979,6),(28980,7),(28981,7),(28982,6),(28983,7),(28984,5),(28985,4),(28986,6),(28987,8),(28988,1),(28989,5),(28990,9),(28991,3),(28992,7),(28993,9),(28994,9),(28995,1),(28996,6),(28997,2),(28998,7),(28999,3),(29000,4),(29001,3),(29002,9),(29003,5),(29004,5),(29005,6),(29006,9),(29007,8),(29008,2),(29009,3),(29010,4),(29011,8),(29012,5),(29013,3),(29014,1),(29015,7),(29016,4),(29017,1),(29018,3),(29019,8),(29020,8),(29021,4),(29022,8),(29023,7),(29024,5),(29025,9),(29026,2),(29027,6),(29028,6),(29029,9),(29030,3),(29031,9),(29032,1),(29033,2),(29034,8),(29035,5),(29036,2),(29037,7),(29038,2),(29039,1),(29040,7),(29041,3),(29042,7),(29043,9),(29044,7),(29045,9),(29046,7),(29047,4),(29048,2),(29049,7),(29050,5),(29051,3),(29052,1),(29053,3),(29054,5),(29055,9),(29056,2),(29057,3),(29058,4),(29059,8),(29060,4),(29061,7),(29062,4),(29063,6),(29064,3),(29065,7),(29066,4),(29067,1),(29068,2),(29069,8),(29070,1),(29071,5),(29072,6),(29073,1),(29074,6),(29075,6),(29076,2),(29077,8),(29078,7),(29079,5),(29080,6),(29081,9),(29082,4),(29083,1),(29084,1),(29085,9),(29086,7),(29087,2),(29088,1),(29089,7),(29090,7),(29091,2),(29092,1),(29093,2),(29094,8),(29095,9),(29096,8),(29097,3),(29098,7),(29099,5),(29100,9),(29101,2),(29102,5),(29103,1),(29104,3),(29105,2),(29106,5),(29107,5),(29108,9),(29109,2),(29110,2),(29111,6),(29112,1),(29113,2),(29114,7),(29115,6),(29116,7),(29117,3),(29118,8),(29119,7),(29120,7),(29121,5),(29122,1),(29123,3),(29124,1),(29125,5),(29126,6),(29127,4),(29128,5),(29129,1),(29130,7),(29131,5),(29132,4),(29133,6),(29134,7),(29135,2),(29136,3),(29137,9),(29138,5),(29139,5),(29140,3),(29141,2),(29142,4),(29143,9),(29144,8),(29145,3),(29146,4),(29147,8),(29148,3),(29149,6),(29150,3),(29151,2),(29152,5),(29153,8),(29154,9),(29155,5),(29156,7),(29157,3),(29158,1),(29159,7),(29160,3),(29161,3),(29162,5),(29163,5),(29164,2),(29165,5),(29166,9),(29167,5),(29168,7),(29169,8),(29170,8),(29171,9),(29172,5),(29173,4),(29174,9),(29175,8),(29176,7),(29177,1),(29178,3),(29179,9),(29180,9),(29181,2),(29182,4),(29183,6),(29184,5),(29185,7),(29186,5),(29187,1),(29188,8),(29189,9),(29190,7),(29191,9),(29192,4),(29193,5),(29194,9),(29195,9),(29196,9),(29197,2),(29198,3),(29199,4),(29200,6),(29201,9),(29202,3),(29203,8),(29204,9),(29205,1),(29206,8),(29207,5),(29208,4),(29209,2),(29210,9),(29211,2),(29212,2),(29213,4),(29214,8),(29215,4),(29216,6),(29217,7),(29218,1),(29219,9),(29220,1),(29221,9),(29222,9),(29223,8),(29224,1),(29225,3),(29226,3),(29227,3),(29228,8),(29229,1),(29230,1),(29231,3),(29232,8),(29233,3),(29234,2),(29235,4),(29236,7),(29237,2),(29238,6),(29239,7),(29240,1),(29241,9),(29242,5),(29243,9),(29244,6),(29245,4),(29246,7),(29247,1),(29248,3),(29249,8),(29250,9),(29251,9),(29252,2),(29253,7),(29254,7),(29255,3),(29256,3),(29257,8),(29258,5),(29259,3),(29260,4),(29261,9),(29262,3),(29263,3),(29264,4),(29265,4),(29266,2),(29267,7),(29268,9),(29269,5),(29270,3),(29271,5),(29272,6),(29273,2),(29274,2),(29275,5),(29276,2),(29277,2),(29278,4),(29279,7),(29280,7),(29281,1),(29282,3),(29283,5),(29284,6),(29285,7),(29286,8),(29287,3),(29288,1),(29289,5),(29290,3),(29291,4),(29292,7),(29293,2),(29294,5),(29295,8),(29296,6),(29297,6),(29298,8),(29299,5),(29300,3),(29301,9),(29302,9),(29303,5),(29304,2),(29305,6),(29306,6),(29307,2),(29308,5),(29309,7),(29310,8),(29311,9),(29312,2),(29313,6),(29314,5),(29315,6),(29316,2),(29317,4),(29318,1),(29319,7),(29320,2),(29321,9),(29322,1),(29323,3),(29324,6),(29325,7),(29326,6),(29327,1),(29328,4),(29329,1),(29330,8),(29331,7),(29332,7),(29333,7),(29334,2),(29335,9),(29336,1),(29337,8),(29338,4),(29339,7),(29340,1),(29341,3),(29342,7),(29343,7),(29344,5),(29345,3),(29346,1),(29347,2),(29348,1),(29349,5),(29350,9),(29351,4),(29352,5),(29353,7),(29354,1),(29355,1),(29356,6),(29357,6),(29358,5),(29359,2),(29360,7),(29361,8),(29362,6),(29363,1),(29364,1),(29365,7),(29366,8),(29367,1),(29368,6),(29369,8),(29370,7),(29371,9),(29372,6),(29373,3),(29374,3),(29375,9),(29376,5),(29377,2),(29378,1),(29379,7),(29380,3),(29381,8),(29382,9),(29383,6),(29384,5),(29385,1),(29386,4),(29387,2),(29388,7),(29389,3),(29390,8),(29391,1),(29392,2),(29393,3),(29394,3),(29395,4),(29396,8),(29397,4),(29398,9),(29399,1),(29400,6),(29401,2),(29402,8),(29403,3),(29404,4),(29405,8),(29406,7),(29407,6),(29408,1),(29409,8),(29410,1),(29411,9),(29412,3),(29413,2),(29414,2),(29415,3),(29416,7),(29417,9),(29418,5),(29419,1),(29420,6),(29421,7),(29422,5),(29423,8),(29424,2),(29425,1),(29426,8),(29427,8),(29428,8),(29429,6),(29430,1),(29431,8),(29432,6),(29433,9),(29434,7),(29435,2),(29436,6),(29437,5),(29438,5),(29439,1),(29440,6),(29441,9),(29442,1),(29443,3),(29444,7),(29445,2),(29446,1),(29447,7),(29448,9),(29449,9),(29450,4),(29451,3),(29452,3),(29453,5),(29454,4),(29455,3),(29456,1),(29457,5),(29458,5),(29459,4),(29460,6),(29461,6),(29462,6),(29463,4),(29464,5),(29465,4),(29466,5),(29467,9),(29468,7),(29469,9),(29470,3),(29471,1),(29472,3),(29473,4),(29474,8),(29475,9),(29476,9),(29477,8),(29478,4),(29479,2),(29480,2),(29481,9),(29482,1),(29483,3),(29484,3),(29485,5),(29486,6),(29487,5),(29488,1),(29489,2),(29490,7),(29491,9),(29492,4),(29493,7),(29494,1),(29495,2),(29496,3),(29497,4),(29498,9),(29499,5),(29500,8),(29501,2),(29502,1),(29503,1),(29504,3),(29505,6),(29506,2),(29507,6),(29508,8),(29509,8),(29510,3),(29511,3),(29512,3),(29513,5),(29514,9),(29515,4),(29516,6),(29517,3),(29518,4),(29519,3),(29520,2),(29521,7),(29522,9),(29523,7),(29524,6),(29525,3),(29526,1),(29527,6),(29528,9),(29529,9),(29530,7),(29531,1),(29532,4),(29533,8),(29534,9),(29535,8),(29536,2),(29537,9),(29538,3),(29539,3),(29540,4),(29541,3),(29542,8),(29543,2),(29544,8),(29545,9),(29546,5),(29547,2),(29548,8),(29549,2),(29550,4),(29551,1),(29552,6),(29553,7),(29554,6),(29555,6),(29556,3),(29557,3),(29558,5),(29559,8),(29560,8),(29561,4),(29562,1),(29563,7),(29564,6),(29565,9),(29566,5),(29567,9),(29568,8),(29569,3),(29570,3),(29571,4),(29572,9),(29573,2),(29574,2),(29575,8),(29576,8),(29577,8),(29578,6),(29579,1),(29580,5),(29581,5),(29582,9),(29583,2),(29584,8),(29585,6),(29586,5),(29587,7),(29588,6),(29589,8),(29590,9),(29591,5),(29592,3),(29593,8),(29594,7),(29595,1),(29596,6),(29597,3),(29598,1),(29599,6),(29600,2),(29601,2),(29602,2),(29603,9),(29604,4),(29605,2),(29606,4),(29607,5),(29608,6),(29609,2),(29610,8),(29611,9),(29612,4),(29613,5),(29614,1),(29615,2),(29616,3),(29617,7),(29618,2),(29619,8),(29620,3),(29621,7),(29622,4),(29623,1),(29624,9),(29625,4),(29626,6),(29627,6),(29628,5),(29629,5),(29630,7),(29631,6),(29632,3),(29633,7),(29634,6),(29635,4),(29636,1),(29637,2),(29638,8),(29639,1),(29640,8),(29641,1),(29642,9),(29643,5),(29644,2),(29645,3),(29646,3),(29647,8),(29648,8),(29649,6),(29650,1),(29651,3),(29652,9),(29653,5),(29654,3),(29655,6),(29656,9),(29657,2),(29658,4),(29659,5),(29660,8),(29661,9),(29662,1),(29663,9),(29664,1),(29665,9),(29666,6),(29667,7),(29668,7),(29669,5),(29670,9),(29671,6),(29672,2),(29673,1),(29674,6),(29675,3),(29676,7),(29677,7),(29678,6),(29679,2),(29680,4),(29681,3),(29682,6),(29683,9),(29684,5),(29685,8),(29686,3),(29687,3),(29688,7),(29689,3),(29690,8),(29691,7),(29692,9),(29693,5),(29694,2),(29695,7),(29696,2),(29697,4),(29698,4),(29699,6),(29700,1),(29701,9),(29702,5),(29703,6),(29704,8),(29705,2),(29706,6),(29707,2),(29708,8),(29709,1),(29710,5),(29711,1),(29712,7),(29713,1),(29714,8),(29715,6),(29716,6),(29717,5),(29718,6),(29719,2),(29720,4),(29721,9),(29722,9),(29723,5),(29724,9),(29725,9),(29726,5),(29727,4),(29728,4),(29729,4),(29730,5),(29731,1),(29732,3),(29733,6),(29734,5),(29735,7),(29736,9),(29737,5),(29738,7),(29739,2),(29740,1),(29741,5),(29742,5),(29743,7),(29744,4),(29745,2),(29746,7),(29747,7),(29748,5),(29749,2),(29750,2),(29751,2),(29752,9),(29753,7),(29754,8),(29755,5),(29756,6),(29757,2),(29758,3),(29759,8),(29760,9),(29761,9),(29762,3),(29763,8),(29764,4),(29765,1),(29766,7),(29767,1),(29768,5),(29769,2),(29770,4),(29771,6),(29772,9),(29773,1),(29774,7),(29775,4),(29776,2),(29777,4),(29778,1),(29779,8),(29780,1),(29781,9),(29782,1),(29783,2),(29784,7),(29785,1),(29786,6),(29787,7),(29788,4),(29789,5),(29790,5),(29791,9),(29792,1),(29793,4),(29794,3),(29795,9),(29796,1),(29797,6),(29798,6),(29799,3),(29800,2),(29801,6),(29802,1),(29803,1),(29804,1),(29805,5),(29806,5),(29807,9),(29808,2),(29809,4),(29810,3),(29811,4),(29812,9),(29813,6),(29814,6),(29815,4),(29816,7),(29817,2),(29818,2),(29819,6),(29820,3),(29821,2),(29822,9),(29823,3),(29824,3),(29825,5),(29826,5),(29827,3),(29828,9),(29829,8),(29830,8),(29831,2),(29832,7),(29833,4),(29834,4),(29835,8),(29836,3),(29837,9),(29838,9),(29839,6),(29840,4),(29841,9),(29842,4),(29843,1),(29844,3),(29845,7),(29846,3),(29847,4),(29848,2),(29849,4),(29850,9),(29851,8),(29852,3),(29853,1),(29854,1),(29855,2),(29856,5),(29857,3),(29858,6),(29859,8),(29860,3),(29861,9),(29862,8),(29863,4),(29864,7),(29865,6),(29866,6),(29867,7),(29868,3),(29869,1),(29870,4),(29871,5),(29872,2),(29873,1),(29874,3),(29875,2),(29876,1),(29877,3),(29878,5),(29879,9),(29880,2),(29881,3),(29882,7),(29883,9),(29884,8),(29885,2),(29886,4),(29887,3),(29888,5),(29889,3),(29890,9),(29891,9),(29892,4),(29893,5),(29894,5),(29895,5),(29896,6),(29897,5),(29898,4),(29899,2),(29900,5),(29901,2),(29902,3),(29903,3),(29904,9),(29905,6),(29906,8),(29907,3),(29908,1),(29909,1),(29910,9),(29911,2),(29912,3),(29913,1),(29914,9),(29915,8),(29916,9),(29917,3),(29918,9),(29919,5),(29920,3),(29921,1),(29922,4),(29923,2),(29924,2),(29925,4),(29926,4),(29927,2),(29928,1),(29929,7),(29930,9),(29931,3),(29932,2),(29933,8),(29934,4),(29935,1),(29936,5),(29937,5),(29938,8),(29939,6),(29940,5),(29941,9),(29942,8),(29943,3),(29944,7),(29945,5),(29946,9),(29947,9),(29948,3),(29949,9),(29950,6),(29951,5),(29952,3),(29953,4),(29954,8),(29955,9),(29956,3),(29957,8),(29958,6),(29959,8),(29960,5),(29961,6),(29962,5),(29963,3),(29964,9),(29965,8),(29966,8),(29967,4),(29968,4),(29969,6),(29970,4),(29971,6),(29972,7),(29973,7),(29974,4),(29975,5),(29976,2),(29977,8),(29978,6),(29979,3),(29980,4),(29981,1),(29982,4),(29983,4),(29984,3),(29985,5),(29986,1),(29987,7),(29988,3),(29989,8),(29990,1),(29991,5),(29992,9),(29993,4),(29994,8),(29995,2),(29996,1),(29997,2),(29998,4),(29999,1),(30000,7),(30001,1),(30002,6),(30003,8),(30004,1),(30005,1),(30006,1),(30007,2),(30008,9),(30009,6),(30010,2),(30011,5),(30012,6),(30013,6),(30014,1),(30015,9),(30016,7),(30017,7),(30018,8),(30019,5),(30020,8),(30021,9),(30022,9),(30023,3),(30024,4),(30025,4),(30026,5),(30027,7),(30028,7),(30029,4),(30030,3),(30031,7),(30032,5),(30033,9),(30034,7),(30035,9),(30036,2),(30037,9),(30038,4),(30039,7),(30040,4),(30041,9),(30042,4),(30043,7),(30044,8),(30045,4),(30046,1),(30047,2),(30048,6),(30049,5),(30050,9),(30051,6),(30052,7),(30053,2),(30054,2),(30055,1),(30056,8),(30057,2),(30058,3),(30059,8),(30060,2),(30061,6),(30062,2),(30063,6),(30064,4),(30065,1),(30066,8),(30067,4),(30068,3),(30069,1),(30070,9),(30071,6),(30072,9),(30073,1),(30074,2),(30075,4),(30076,2),(30077,3),(30078,1),(30079,7),(30080,3),(30081,5),(30082,9),(30083,2),(30084,9),(30085,9),(30086,9),(30087,7),(30088,6),(30089,5),(30090,4),(30091,8),(30092,2),(30093,3),(30094,1),(30095,8),(30096,5),(30097,9),(30098,5),(30099,6),(30100,8),(30101,3),(30102,3),(30103,6),(30104,4),(30105,3),(30106,8),(30107,1),(30108,3),(30109,5),(30110,8),(30111,9),(30112,3),(30113,1),(30114,2),(30115,2),(30116,5),(30117,9),(30118,8),(30119,7),(30120,8),(30121,5),(30122,8),(30123,9),(30124,1),(30125,5),(30126,8),(30127,3),(30128,2),(30129,5),(30130,9),(30131,7),(30132,1),(30133,3),(30134,9),(30135,4),(30136,4),(30137,4),(30138,9),(30139,8),(30140,3),(30141,2),(30142,1),(30143,4),(30144,9),(30145,1),(30146,3),(30147,3),(30148,8),(30149,9),(30150,5),(30151,4),(30152,4),(30153,4),(30154,7),(30155,6),(30156,9),(30157,6),(30158,8),(30159,3),(30160,5),(30161,3),(30162,7),(30163,2),(30164,9),(30165,5),(30166,6),(30167,6),(30168,5),(30169,8),(30170,2),(30171,2),(30172,9),(30173,7),(30174,2),(30175,2),(30176,3),(30177,3),(30178,3),(30179,9),(30180,8),(30181,9),(30182,6),(30183,8),(30184,5),(30185,1),(30186,5),(30187,2),(30188,1),(30189,5),(30190,3),(30191,9),(30192,6),(30193,9),(30194,4),(30195,2),(30196,7),(30197,7),(30198,9),(30199,5),(30200,2),(30201,8),(30202,8),(30203,2),(30204,2),(30205,7),(30206,4),(30207,9),(30208,4),(30209,2),(30210,5),(30211,8),(30212,2),(30213,1),(30214,6),(30215,6),(30216,8),(30217,8),(30218,6),(30219,2),(30220,9),(30221,7),(30222,7),(30223,7),(30224,3),(30225,2),(30226,3),(30227,5),(30228,3),(30229,2),(30230,8),(30231,9),(30232,1),(30233,5),(30234,9),(30235,7),(30236,5),(30237,5),(30238,6),(30239,1),(30240,6),(30241,1),(30242,3),(30243,6),(30244,1),(30245,5),(30246,2),(30247,9),(30248,2),(30249,3),(30250,4),(30251,7),(30252,8),(30253,1),(30254,8),(30255,4),(30256,4),(30257,8),(30258,1),(30259,1),(30260,7),(30261,6),(30262,8),(30263,7),(30264,4),(30265,5),(30266,4),(30267,1),(30268,9),(30269,3),(30270,9),(30271,4),(30272,8),(30273,1),(30274,4),(30275,3),(30276,2),(30277,1),(30278,1),(30279,4),(30280,1),(30281,8),(30282,7),(30283,4),(30284,1),(30285,8),(30286,6),(30287,3),(30288,6),(30289,7),(30290,3),(30291,8),(30292,8),(30293,7),(30294,2),(30295,9),(30296,1),(30297,9),(30298,2),(30299,1),(30300,4),(30301,4),(30302,1),(30303,9),(30304,7),(30305,1),(30306,4),(30307,8),(30308,1),(30309,5),(30310,3),(30311,3),(30312,3),(30313,3),(30314,6),(30315,9),(30316,4),(30317,1),(30318,2),(30319,3),(30320,9),(30321,6),(30322,2),(30323,6),(30324,7),(30325,9),(30326,4),(30327,8),(30328,8),(30329,1),(30330,2),(30331,6),(30332,8),(30333,1),(30334,8),(30335,8),(30336,9),(30337,9),(30338,2),(30339,8),(30340,3),(30341,3),(30342,2),(30343,4),(30344,8),(30345,2),(30346,3),(30347,3),(30348,8),(30349,5),(30350,3),(30351,1),(30352,9),(30353,1),(30354,3),(30355,8),(30356,9),(30357,6),(30358,2),(30359,9),(30360,4),(30361,4),(30362,7),(30363,1),(30364,1),(30365,3),(30366,9),(30367,1),(30368,2),(30369,9),(30370,1),(30371,8),(30372,7),(30373,9),(30374,8),(30375,1),(30376,6),(30377,3),(30378,6),(30379,8),(30380,1),(30381,5),(30382,8),(30383,5),(30384,9),(30385,1),(30386,5),(30387,8),(30388,9),(30389,7),(30390,4),(30391,1),(30392,3),(30393,1),(30394,6),(30395,3),(30396,4),(30397,8),(30398,7),(30399,4),(30400,3),(30401,2),(30402,1),(30403,5),(30404,8),(30405,1),(30406,4),(30407,1),(30408,9),(30409,6),(30410,5),(30411,6),(30412,7),(30413,4),(30414,4),(30415,8),(30416,5),(30417,6),(30418,8),(30419,8),(30420,5),(30421,5),(30422,5),(30423,7),(30424,7),(30425,9),(30426,6),(30427,6),(30428,2),(30429,6),(30430,5),(30431,6),(30432,4),(30433,6),(30434,7),(30435,9),(30436,3),(30437,9),(30438,5),(30439,7),(30440,7),(30441,2),(30442,5),(30443,5),(30444,9),(30445,3),(30446,7),(30447,4),(30448,5),(30449,8),(30450,8),(30451,4),(30452,6),(30453,2),(30454,5),(30455,7),(30456,4),(30457,1),(30458,8),(30459,7),(30460,6),(30461,1),(30462,5),(30463,8),(30464,7),(30465,1),(30466,8),(30467,5),(30468,9),(30469,3),(30470,1),(30471,3),(30472,7),(30473,9),(30474,8),(30475,7),(30476,7),(30477,4),(30478,7),(30479,6),(30480,1),(30481,1),(30482,9),(30483,1),(30484,6),(30485,6),(30486,2),(30487,3),(30488,6),(30489,1),(30490,7),(30491,4),(30492,1),(30493,5),(30494,3),(30495,6),(30496,5),(30497,7),(30498,5),(30499,5),(30500,1),(30501,5),(30502,9),(30503,1),(30504,5),(30505,7),(30506,7),(30507,7),(30508,9),(30509,2),(30510,3),(30511,2),(30512,8),(30513,1),(30514,7),(30515,2),(30516,9),(30517,6),(30518,2),(30519,2),(30520,8),(30521,7),(30522,4),(30523,9),(30524,5),(30525,7),(30526,2),(30527,8),(30528,4),(30529,6),(30530,4),(30531,9),(30532,4),(30533,5),(30534,7),(30535,7),(30536,5),(30537,6),(30538,3),(30539,3),(30540,7),(30541,1),(30542,8),(30543,5),(30544,3),(30545,7),(30546,4),(30547,1),(30548,9),(30549,9),(30550,5),(30551,6),(30552,6),(30553,8),(30554,5),(30555,8),(30556,8),(30557,2),(30558,7),(30559,3),(30560,5),(30561,5),(30562,1),(30563,7),(30564,3),(30565,1),(30566,2),(30567,8),(30568,5),(30569,6),(30570,2),(30571,9),(30572,5),(30573,5),(30574,9),(30575,6),(30576,9),(30577,5),(30578,5),(30579,3),(30580,4),(30581,1),(30582,1),(30583,9),(30584,9),(30585,5),(30586,4),(30587,3),(30588,3),(30589,8),(30590,1),(30591,8),(30592,6),(30593,8),(30594,3),(30595,4),(30596,3),(30597,8),(30598,8),(30599,6),(30600,1),(30601,9),(30602,3),(30603,8),(30604,8),(30605,7),(30606,5),(30607,9),(30608,5),(30609,3),(30610,6),(30611,7),(30612,7),(30613,2),(30614,8),(30615,1),(30616,5),(30617,7),(30618,2),(30619,2),(30620,3),(30621,3),(30622,1),(30623,9),(30624,1),(30625,3),(30626,3),(30627,8),(30628,3),(30629,6),(30630,7),(30631,4),(30632,2),(30633,6),(30634,8),(30635,3),(30636,1),(30637,9),(30638,9),(30639,8),(30640,5),(30641,3),(30642,9),(30643,8),(30644,2),(30645,9),(30646,2),(30647,4),(30648,1),(30649,4),(30650,3),(30651,7),(30652,7),(30653,8),(30654,2),(30655,6),(30656,2),(30657,8),(30658,5),(30659,8),(30660,7),(30661,1),(30662,3),(30663,4),(30664,2),(30665,9),(30666,6),(30667,6),(30668,3),(30669,8),(30670,2),(30671,7),(30672,7),(30673,9),(30674,9),(30675,9),(30676,7),(30677,5),(30678,1),(30679,1),(30680,2),(30681,6),(30682,5),(30683,5),(30684,8),(30685,4),(30686,6),(30687,8),(30688,8),(30689,4),(30690,7),(30691,6),(30692,8),(30693,6),(30694,3),(30695,5),(30696,8),(30697,8),(30698,7),(30699,6),(30700,8),(30701,3),(30702,7),(30703,7),(30704,4),(30705,4),(30706,3),(30707,7),(30708,8),(30709,7),(30710,3),(30711,2),(30712,3),(30713,6),(30714,8),(30715,4),(30716,4),(30717,1),(30718,7),(30719,7),(30720,2),(30721,6),(30722,5),(30723,9),(30724,5),(30725,3),(30726,8),(30727,2),(30728,3),(30729,4),(30730,8),(30731,3),(30732,9),(30733,5),(30734,3),(30735,5),(30736,5),(30737,5),(30738,2),(30739,5),(30740,3),(30741,9),(30742,7),(30743,3),(30744,1),(30745,7),(30746,6),(30747,9),(30748,8),(30749,3),(30750,7),(30751,4),(30752,4),(30753,3),(30754,6),(30755,4),(30756,4),(30757,6),(30758,5),(30759,5),(30760,8),(30761,6),(30762,3),(30763,4),(30764,2),(30765,5),(30766,7),(30767,3),(30768,2),(30769,7),(30770,5),(30771,4),(30772,3),(30773,1),(30774,4),(30775,1),(30776,7),(30777,4),(30778,3),(30779,7),(30780,8),(30781,9),(30782,6),(30783,6),(30784,9),(30785,3),(30786,1),(30787,9),(30788,3),(30789,9),(30790,7),(30791,6),(30792,3),(30793,4),(30794,2),(30795,3),(30796,3),(30797,6),(30798,1),(30799,6),(30800,8),(30801,8),(30802,5),(30803,4),(30804,3),(30805,2),(30806,6),(30807,1),(30808,6),(30809,9),(30810,5),(30811,1),(30812,7),(30813,3),(30814,3),(30815,4),(30816,4),(30817,5),(30818,6),(30819,3),(30820,7),(30821,1),(30822,2),(30823,6),(30824,9),(30825,1),(30826,8),(30827,2),(30828,8),(30829,7),(30830,9),(30831,9),(30832,2),(30833,7),(30834,1),(30835,9),(30836,6),(30837,9),(30838,6),(30839,3),(30840,4),(30841,6),(30842,4),(30843,8),(30844,8),(30845,2),(30846,1),(30847,4),(30848,9),(30849,2),(30850,5),(30851,5),(30852,1),(30853,3),(30854,3),(30855,3),(30856,9),(30857,4),(30858,2),(30859,9),(30860,4),(30861,2),(30862,5),(30863,2),(30864,1),(30865,4),(30866,3),(30867,9),(30868,6),(30869,2),(30870,1),(30871,7),(30872,5),(30873,2),(30874,7),(30875,7),(30876,3),(30877,7),(30878,3),(30879,5),(30880,1),(30881,4),(30882,9),(30883,4),(30884,5),(30885,1),(30886,1),(30887,4),(30888,2),(30889,5),(30890,2),(30891,5),(30892,7),(30893,6),(30894,6),(30895,7),(30896,2),(30897,5),(30898,2),(30899,8),(30900,6),(30901,6),(30902,7),(30903,3),(30904,2),(30905,8),(30906,2),(30907,2),(30908,6),(30909,3),(30910,8),(30911,9),(30912,2),(30913,9),(30914,2),(30915,4),(30916,7),(30917,6),(30918,8),(30919,3),(30920,8),(30921,1),(30922,9),(30923,8),(30924,4),(30925,1),(30926,4),(30927,2),(30928,6),(30929,2),(30930,5),(30931,7),(30932,6),(30933,2),(30934,4),(30935,5),(30936,3),(30937,6),(30938,4),(30939,7),(30940,1),(30941,4),(30942,3),(30943,2),(30944,9),(30945,2),(30946,2),(30947,7),(30948,5),(30949,1),(30950,2),(30951,7),(30952,9),(30953,5),(30954,1),(30955,3),(30956,3),(30957,9),(30958,4),(30959,3),(30960,2),(30961,8),(30962,7),(30963,1),(30964,6),(30965,8),(30966,8),(30967,2),(30968,7),(30969,4),(30970,4),(30971,9),(30972,9),(30973,2),(30974,5),(30975,7),(30976,6),(30977,8),(30978,1),(30979,8),(30980,3),(30981,4),(30982,5),(30983,4),(30984,2),(30985,4),(30986,2),(30987,8),(30988,3),(30989,9),(30990,5),(30991,6),(30992,9),(30993,3),(30994,3),(30995,2),(30996,8),(30997,1),(30998,5),(30999,1),(31000,5),(31001,3),(31002,7),(31003,2),(31004,6),(31005,1),(31006,3),(31007,8),(31008,2),(31009,5),(31010,5),(31011,6),(31012,9),(31013,4),(31014,5),(31015,7),(31016,4),(31017,2),(31018,1),(31019,3),(31020,7),(31021,1),(31022,4),(31023,2),(31024,2),(31025,9),(31026,2),(31027,7),(31028,2),(31029,4),(31030,3),(31031,3),(31032,3),(31033,7),(31034,2),(31035,9),(31036,3),(31037,3),(31038,7),(31039,7),(31040,3),(31041,2),(31042,6),(31043,9),(31044,7),(31045,7),(31046,8),(31047,7),(31048,4),(31049,8),(31050,5),(31051,8),(31052,2),(31053,6),(31054,6),(31055,8),(31056,7),(31057,1),(31058,1),(31059,4),(31060,2),(31061,7),(31062,7),(31063,9),(31064,9),(31065,9),(31066,5),(31067,4),(31068,8),(31069,1),(31070,7),(31071,9),(31072,1),(31073,6),(31074,8),(31075,3),(31076,1),(31077,7),(31078,2),(31079,2),(31080,2),(31081,1),(31082,5),(31083,3),(31084,4),(31085,4),(31086,6),(31087,2),(31088,4),(31089,4),(31090,9),(31091,8),(31092,1),(31093,3),(31094,4),(31095,9),(31096,4),(31097,7),(31098,7),(31099,2),(31100,4),(31101,7),(31102,3),(31103,7),(31104,7),(31105,1),(31106,7),(31107,6),(31108,8),(31109,9),(31110,1),(31111,2),(31112,7),(31113,7),(31114,5),(31115,7),(31116,4),(31117,4),(31118,8),(31119,1),(31120,4),(31121,3),(31122,5),(31123,4),(31124,3),(31125,1),(31126,4),(31127,1),(31128,1),(31129,7),(31130,9),(31131,7),(31132,5),(31133,8),(31134,4),(31135,7),(31136,1),(31137,8),(31138,8),(31139,1),(31140,3),(31141,9),(31142,5),(31143,5),(31144,8),(31145,9),(31146,9),(31147,6),(31148,6),(31149,7),(31150,3),(31151,6),(31152,8),(31153,2),(31154,6),(31155,5),(31156,4),(31157,8),(31158,8),(31159,9),(31160,6),(31161,1),(31162,5),(31163,7),(31164,1),(31165,7),(31166,6),(31167,4),(31168,8),(31169,9),(31170,6),(31171,7),(31172,4),(31173,2),(31174,9),(31175,8),(31176,8),(31177,2),(31178,2),(31179,4),(31180,2),(31181,7),(31182,2),(31183,7),(31184,3),(31185,8),(31186,8),(31187,5),(31188,1),(31189,8),(31190,1),(31191,7),(31192,7),(31193,3),(31194,5),(31195,8),(31196,7),(31197,6),(31198,3),(31199,5),(31200,7),(31201,7),(31202,1),(31203,7),(31204,6),(31205,9),(31206,5),(31207,6),(31208,3),(31209,4),(31210,5),(31211,2),(31212,8),(31213,4),(31214,2),(31215,3),(31216,8),(31217,6),(31218,1),(31219,3),(31220,9),(31221,4),(31222,9),(31223,8),(31224,2),(31225,2),(31226,3),(31227,8),(31228,3),(31229,6),(31230,3),(31231,5),(31232,7),(31233,1),(31234,2),(31235,7),(31236,8),(31237,1),(31238,4),(31239,2),(31240,1),(31241,3),(31242,6),(31243,4),(31244,1),(31245,4),(31246,7),(31247,5),(31248,9),(31249,6),(31250,4),(31251,9),(31252,7),(31253,3),(31254,1),(31255,5),(31256,3),(31257,1),(31258,9),(31259,2),(31260,6),(31261,2),(31262,9),(31263,6),(31264,1),(31265,7),(31266,2),(31267,1),(31268,4),(31269,9),(31270,3),(31271,3),(31272,8),(31273,3),(31274,6),(31275,5),(31276,3),(31277,3),(31278,5),(31279,8),(31280,7),(31281,1),(31282,1),(31283,6),(31284,8),(31285,4),(31286,7),(31287,1),(31288,4),(31289,7),(31290,6),(31291,6),(31292,3),(31293,3),(31294,2),(31295,1),(31296,6),(31297,8),(31298,4),(31299,1),(31300,3),(31301,8),(31302,1),(31303,9),(31304,8),(31305,5),(31306,9),(31307,3),(31308,6),(31309,8),(31310,7),(31311,6),(31312,8),(31313,8),(31314,7),(31315,1),(31316,4),(31317,3),(31318,4),(31319,7),(31320,3),(31321,1),(31322,3),(31323,5),(31324,9),(31325,6),(31326,4),(31327,4),(31328,7),(31329,5),(31330,5),(31331,3),(31332,5),(31333,1),(31334,5),(31335,6),(31336,1),(31337,3),(31338,7),(31339,8),(31340,7),(31341,9),(31342,8),(31343,1),(31344,7),(31345,2),(31346,1),(31347,6),(31348,2),(31349,6),(31350,6),(31351,7),(31352,7),(31353,5),(31354,1),(31355,9),(31356,1),(31357,6),(31358,7),(31359,4),(31360,2),(31361,8),(31362,8),(31363,2),(31364,1),(31365,1),(31366,6),(31367,8),(31368,7),(31369,3),(31370,9),(31371,8),(31372,5),(31373,5),(31374,5),(31375,7),(31376,7),(31377,1),(31378,5),(31379,5),(31380,4),(31381,2),(31382,9),(31383,7),(31384,3),(31385,4),(31386,3),(31387,5),(31388,8),(31389,6),(31390,4),(31391,6),(31392,2),(31393,3),(31394,1),(31395,3),(31396,6),(31397,9),(31398,3),(31399,2),(31400,7),(31401,8),(31402,9),(31403,6),(31404,1),(31405,3),(31406,1),(31407,4),(31408,9),(31409,7),(31410,1),(31411,5),(31412,8),(31413,5),(31414,4),(31415,7),(31416,9),(31417,2),(31418,3),(31419,1),(31420,8),(31421,2),(31422,4),(31423,2),(31424,8),(31425,9),(31426,1),(31427,5),(31428,8),(31429,5),(31430,8),(31431,1),(31432,1),(31433,1),(31434,1),(31435,8),(31436,4),(31437,7),(31438,5),(31439,6),(31440,9),(31441,3),(31442,5),(31443,7),(31444,4),(31445,2),(31446,1),(31447,6),(31448,2),(31449,2),(31450,4),(31451,1),(31452,1),(31453,4),(31454,4),(31455,9),(31456,6),(31457,6),(31458,8),(31459,3),(31460,7),(31461,1),(31462,1),(31463,1),(31464,1),(31465,9),(31466,7),(31467,2),(31468,3),(31469,5),(31470,2),(31471,8),(31472,8),(31473,2),(31474,5),(31475,4),(31476,6),(31477,4),(31478,9),(31479,8),(31480,6),(31481,2),(31482,8),(31483,5),(31484,2),(31485,2),(31486,8),(31487,8),(31488,7),(31489,2),(31490,5),(31491,1),(31492,2),(31493,8),(31494,6),(31495,5),(31496,2),(31497,7),(31498,5),(31499,5),(31500,8),(31501,1),(31502,6),(31503,5),(31504,4),(31505,8),(31506,5),(31507,2),(31508,6),(31509,1),(31510,1),(31511,9),(31512,1),(31513,4),(31514,1),(31515,1),(31516,8),(31517,4),(31518,1),(31519,5),(31520,7),(31521,6),(31522,8),(31523,3),(31524,5),(31525,2),(31526,1),(31527,5),(31528,9),(31529,2),(31530,7),(31531,5),(31532,6),(31533,5),(31534,3),(31535,4),(31536,5),(31537,6),(31538,3),(31539,4),(31540,2),(31541,6),(31542,8),(31543,2),(31544,2),(31545,8),(31546,3),(31547,6),(31548,3),(31549,9),(31550,4),(31551,7),(31552,5),(31553,6),(31554,7),(31555,8),(31556,9),(31557,8),(31558,1),(31559,5),(31560,5),(31561,9),(31562,7),(31563,5),(31564,2),(31565,1),(31566,4),(31567,8),(31568,5),(31569,8),(31570,2),(31571,5),(31572,5),(31573,9),(31574,7),(31575,4),(31576,4),(31577,6),(31578,4),(31579,6),(31580,7),(31581,4),(31582,8),(31583,6),(31584,1),(31585,1),(31586,2),(31587,2),(31588,7),(31589,5),(31590,7),(31591,2),(31592,3),(31593,2),(31594,4),(31595,5),(31596,7),(31597,8),(31598,3),(31599,9),(31600,4),(31601,1),(31602,7),(31603,1),(31604,9),(31605,7),(31606,8),(31607,7),(31608,2),(31609,2),(31610,6),(31611,2),(31612,8),(31613,7),(31614,2),(31615,9),(31616,7),(31617,1),(31618,8),(31619,5),(31620,1),(31621,2),(31622,6),(31623,9),(31624,7),(31625,3),(31626,9),(31627,9),(31628,1),(31629,4),(31630,2),(31631,6),(31632,1),(31633,5),(31634,3),(31635,8),(31636,1),(31637,9),(31638,4),(31639,7),(31640,6),(31641,9),(31642,8),(31643,7),(31644,5),(31645,1),(31646,8),(31647,9),(31648,5),(31649,2),(31650,2),(31651,4),(31652,5),(31653,8),(31654,1),(31655,9),(31656,2),(31657,6),(31658,8),(31659,2),(31660,2),(31661,4),(31662,7),(31663,2),(31664,3),(31665,7),(31666,9),(31667,1),(31668,9),(31669,1),(31670,8),(31671,4),(31672,9),(31673,4),(31674,2),(31675,2),(31676,2),(31677,8),(31678,5),(31679,1),(31680,8),(31681,5),(31682,7),(31683,6),(31684,1),(31685,3),(31686,2),(31687,9),(31688,3),(31689,1),(31690,8),(31691,8),(31692,2),(31693,6),(31694,3),(31695,9),(31696,5),(31697,8),(31698,9),(31699,7),(31700,4),(31701,3),(31702,9),(31703,2),(31704,7),(31705,5),(31706,8),(31707,5),(31708,1),(31709,6),(31710,6),(31711,9),(31712,6),(31713,5),(31714,1),(31715,3),(31716,9),(31717,6),(31718,1),(31719,2),(31720,8),(31721,4),(31722,8),(31723,8),(31724,5),(31725,6),(31726,6),(31727,8),(31728,6),(31729,8),(31730,2),(31731,3),(31732,5),(31733,4),(31734,5),(31735,9),(31736,4),(31737,6),(31738,5),(31739,2),(31740,6),(31741,5),(31742,5),(31743,2),(31744,1),(31745,8),(31746,3),(31747,1),(31748,8),(31749,8),(31750,3),(31751,4),(31752,4),(31753,4),(31754,4),(31755,2),(31756,5),(31757,9),(31758,5),(31759,8),(31760,7),(31761,4),(31762,2),(31763,4),(31764,2),(31765,1),(31766,9),(31767,1),(31768,6),(31769,1),(31770,6),(31771,9),(31772,3),(31773,1),(31774,2),(31775,2),(31776,1),(31777,2),(31778,3),(31779,8),(31780,3),(31781,2),(31782,5),(31783,1),(31784,8),(31785,2),(31786,1),(31787,2),(31788,5),(31789,1),(31790,3),(31791,2),(31792,3),(31793,7),(31794,1),(31795,6),(31796,4),(31797,6),(31798,8),(31799,8),(31800,5),(31801,9),(31802,3),(31803,3),(31804,8),(31805,4),(31806,1),(31807,4),(31808,1),(31809,5),(31810,6),(31811,3),(31812,3),(31813,6),(31814,6),(31815,3),(31816,5),(31817,3),(31818,7),(31819,5),(31820,2),(31821,6),(31822,5),(31823,7),(31824,3),(31825,8),(31826,5),(31827,3),(31828,4),(31829,2),(31830,6),(31831,2),(31832,3),(31833,5),(31834,6),(31835,8),(31836,5),(31837,4),(31838,5),(31839,3),(31840,3),(31841,7),(31842,4),(31843,1),(31844,6),(31845,8),(31846,6),(31847,1),(31848,1),(31849,6),(31850,3),(31851,3),(31852,7),(31853,1),(31854,4),(31855,5),(31856,9),(31857,2),(31858,1),(31859,4),(31860,7),(31861,4),(31862,4),(31863,9),(31864,8),(31865,7),(31866,9),(31867,2),(31868,9),(31869,8),(31870,1),(31871,5),(31872,6),(31873,8),(31874,3),(31875,8),(31876,4),(31877,5),(31878,6),(31879,3),(31880,8),(31881,6),(31882,6),(31883,6),(31884,6),(31885,7),(31886,5),(31887,2),(31888,6),(31889,2),(31890,8),(31891,6),(31892,5),(31893,4),(31894,3),(31895,1),(31896,6),(31897,2),(31898,8),(31899,3),(31900,2),(31901,9),(31902,3),(31903,5),(31904,3),(31905,4),(31906,9),(31907,1),(31908,2),(31909,9),(31910,8),(31911,7),(31912,4),(31913,1),(31914,1),(31915,1),(31916,9),(31917,6),(31918,5),(31919,7),(31920,5),(31921,5),(31922,4),(31923,7),(31924,4),(31925,8),(31926,7),(31927,6),(31928,8),(31929,5),(31930,5),(31931,7),(31932,4),(31933,2),(31934,7),(31935,3),(31936,5),(31937,6),(31938,7),(31939,7),(31940,6),(31941,2),(31942,1),(31943,2),(31944,5),(31945,8),(31946,2),(31947,7),(31948,2),(31949,4),(31950,5),(31951,5),(31952,3),(31953,4),(31954,5),(31955,9),(31956,6),(31957,4),(31958,9),(31959,2),(31960,4),(31961,2),(31962,2),(31963,4),(31964,9),(31965,3),(31966,5),(31967,5),(31968,5),(31969,7),(31970,6),(31971,4),(31972,4),(31973,9),(31974,9),(31975,9),(31976,6),(31977,9),(31978,7),(31979,4),(31980,4),(31981,7),(31982,3),(31983,2),(31984,3),(31985,8),(31986,3),(31987,8),(31988,9),(31989,5),(31990,4),(31991,7),(31992,7),(31993,4),(31994,1),(31995,4),(31996,6),(31997,2),(31998,3),(31999,9),(32000,5),(32001,3),(32002,6),(32003,3),(32004,4),(32005,2),(32006,5),(32007,9),(32008,3),(32009,5),(32010,9),(32011,8),(32012,5),(32013,2),(32014,4),(32015,6),(32016,4),(32017,6),(32018,1),(32019,7),(32020,4),(32021,5),(32022,5),(32023,9),(32024,9),(32025,9),(32026,2),(32027,5),(32028,6),(32029,1),(32030,7),(32031,7),(32032,3),(32033,1),(32034,2),(32035,5),(32036,5),(32037,4),(32038,8),(32039,6),(32040,8),(32041,2),(32042,6),(32043,5),(32044,7),(32045,7),(32046,8),(32047,6),(32048,5),(32049,7),(32050,9),(32051,2),(32052,1),(32053,3),(32054,3),(32055,2),(32056,6),(32057,1),(32058,2),(32059,2),(32060,1),(32061,1),(32062,7),(32063,6),(32064,9),(32065,4),(32066,4),(32067,9),(32068,8),(32069,6),(32070,6),(32071,7),(32072,7),(32073,9),(32074,1),(32075,3),(32076,6),(32077,2),(32078,6),(32079,1),(32080,8),(32081,1),(32082,1),(32083,2),(32084,9),(32085,2),(32086,8),(32087,2),(32088,6),(32089,4),(32090,3),(32091,3),(32092,7),(32093,6),(32094,7),(32095,8),(32096,4),(32097,6),(32098,1),(32099,1),(32100,9),(32101,8),(32102,1),(32103,5),(32104,8),(32105,7),(32106,3),(32107,4),(32108,6),(32109,3),(32110,7),(32111,2),(32112,6),(32113,8),(32114,5),(32115,1),(32116,6),(32117,2),(32118,8),(32119,1),(32120,9),(32121,5),(32122,1),(32123,2),(32124,2),(32125,6),(32126,7),(32127,4),(32128,2),(32129,6),(32130,4),(32131,7),(32132,3),(32133,9),(32134,2),(32135,9),(32136,2),(32137,5),(32138,4),(32139,4),(32140,9),(32141,9),(32142,3),(32143,7),(32144,4),(32145,8),(32146,5),(32147,2),(32148,3),(32149,2),(32150,5),(32151,7),(32152,7),(32153,2),(32154,8),(32155,2),(32156,8),(32157,6),(32158,6),(32159,3),(32160,2),(32161,7),(32162,4),(32163,2),(32164,2),(32165,7),(32166,8),(32167,7),(32168,3),(32169,7),(32170,5),(32171,3),(32172,4),(32173,5),(32174,8),(32175,7),(32176,2),(32177,3),(32178,3),(32179,5),(32180,4),(32181,2),(32182,9),(32183,1),(32184,9),(32185,7),(32186,7),(32187,1),(32188,8),(32189,3),(32190,9),(32191,3),(32192,9),(32193,4),(32194,1),(32195,6),(32196,8),(32197,2),(32198,5),(32199,8),(32200,4),(32201,7),(32202,2),(32203,1),(32204,3),(32205,6),(32206,7),(32207,4),(32208,9),(32209,2),(32210,8),(32211,8),(32212,1),(32213,3),(32214,2),(32215,8),(32216,4),(32217,9),(32218,2),(32219,5),(32220,6),(32221,3),(32222,1),(32223,8),(32224,1),(32225,1),(32226,8),(32227,4),(32228,8),(32229,7),(32230,2),(32231,8),(32232,1),(32233,2),(32234,4),(32235,4),(32236,4),(32237,5),(32238,7),(32239,5),(32240,1),(32241,9),(32242,3),(32243,7),(32244,6),(32245,2),(32246,4),(32247,6),(32248,5),(32249,6),(32250,7),(32251,6),(32252,5),(32253,5),(32254,1),(32255,1),(32256,3),(32257,9),(32258,3),(32259,9),(32260,9),(32261,2),(32262,1),(32263,7),(32264,1),(32265,5),(32266,5),(32267,5),(32268,9),(32269,7),(32270,1),(32271,5),(32272,5),(32273,4),(32274,1),(32275,7),(32276,1),(32277,2),(32278,5),(32279,9),(32280,1),(32281,7),(32282,4),(32283,9),(32284,3),(32285,6),(32286,9),(32287,2),(32288,7),(32289,2),(32290,3),(32291,7),(32292,1),(32293,5),(32294,2),(32295,5),(32296,3),(32297,8),(32298,4),(32299,7),(32300,9),(32301,9),(32302,5),(32303,4),(32304,5),(32305,5),(32306,8),(32307,1),(32308,3),(32309,6),(32310,9),(32311,8),(32312,5),(32313,4),(32314,6),(32315,6),(32316,1),(32317,5),(32318,1),(32319,8),(32320,5),(32321,4),(32322,1),(32323,8),(32324,9),(32325,1),(32326,8),(32327,6),(32328,9),(32329,8),(32330,5),(32331,7),(32332,4),(32333,5),(32334,3),(32335,2),(32336,5),(32337,6),(32338,8),(32339,3),(32340,1),(32341,7),(32342,2),(32343,7),(32344,4),(32345,1),(32346,6),(32347,5),(32348,9),(32349,5),(32350,7),(32351,9),(32352,1),(32353,5),(32354,9),(32355,2),(32356,3),(32357,6),(32358,9),(32359,1),(32360,1),(32361,1),(32362,8),(32363,1),(32364,1),(32365,6),(32366,7),(32367,4),(32368,7),(32369,6),(32370,2),(32371,2),(32372,1),(32373,1),(32374,1),(32375,3),(32376,5),(32377,4),(32378,2),(32379,8),(32380,5),(32381,5),(32382,7),(32383,1),(32384,2),(32385,1),(32386,6),(32387,1),(32388,9),(32389,4),(32390,6),(32391,1),(32392,8),(32393,8),(32394,3),(32395,3),(32396,2),(32397,4),(32398,5),(32399,8),(32400,9),(32401,3),(32402,3),(32403,8),(32404,7),(32405,6),(32406,9),(32407,8),(32408,9),(32409,2),(32410,1),(32411,4),(32412,9),(32413,4),(32414,7),(32415,8),(32416,6),(32417,8),(32418,5),(32419,5),(32420,5),(32421,3),(32422,4),(32423,3),(32424,5),(32425,6),(32426,7),(32427,5),(32428,2),(32429,1),(32430,3),(32431,9),(32432,7),(32433,8),(32434,9),(32435,8),(32436,6),(32437,1),(32438,6),(32439,5),(32440,2),(32441,3),(32442,8),(32443,1),(32444,5),(32445,5),(32446,1),(32447,2),(32448,5),(32449,5),(32450,4),(32451,1),(32452,5),(32453,4),(32454,1),(32455,7),(32456,1),(32457,3),(32458,6),(32459,9),(32460,2),(32461,8),(32462,6),(32463,4),(32464,2),(32465,6),(32466,3),(32467,6),(32468,6),(32469,8),(32470,1),(32471,6),(32472,8),(32473,4),(32474,3),(32475,1),(32476,5),(32477,4),(32478,7),(32479,2),(32480,6),(32481,6),(32482,4),(32483,9),(32484,8),(32485,8),(32486,6),(32487,6),(32488,9),(32489,4),(32490,1),(32491,3),(32492,1),(32493,9),(32494,7),(32495,5),(32496,3),(32497,6),(32498,4),(32499,3),(32500,6),(32501,3),(32502,5),(32503,2),(32504,9),(32505,4),(32506,2),(32507,9),(32508,8),(32509,8),(32510,4),(32511,1),(32512,9),(32513,5),(32514,3),(32515,2),(32516,5),(32517,4),(32518,5),(32519,8),(32520,3),(32521,2),(32522,1),(32523,6),(32524,4),(32525,4),(32526,9),(32527,9),(32528,3),(32529,6),(32530,4),(32531,5),(32532,5),(32533,4),(32534,3),(32535,7),(32536,6),(32537,1),(32538,1),(32539,5),(32540,8),(32541,1),(32542,1),(32543,1),(32544,7),(32545,4),(32546,7),(32547,1),(32548,9),(32549,2),(32550,2),(32551,9),(32552,8),(32553,5),(32554,3),(32555,8),(32556,1),(32557,5),(32558,2),(32559,2),(32560,3),(32561,6),(32562,3),(32563,5),(32564,7),(32565,3),(32566,4),(32567,6),(32568,1),(32569,9),(32570,1),(32571,4),(32572,8),(32573,7),(32574,6),(32575,7),(32576,3),(32577,9),(32578,5),(32579,5),(32580,4),(32581,2),(32582,1),(32583,6),(32584,7),(32585,6),(32586,4),(32587,1),(32588,4),(32589,3),(32590,2),(32591,5),(32592,8),(32593,6),(32594,9),(32595,8),(32596,6),(32597,7),(32598,3),(32599,8),(32600,9),(32601,5),(32602,2),(32603,7),(32604,5),(32605,2),(32606,1),(32607,6),(32608,3),(32609,7),(32610,4),(32611,9),(32612,3),(32613,1),(32614,5),(32615,5),(32616,7),(32617,7),(32618,7),(32619,2),(32620,5),(32621,7),(32622,2),(32623,7),(32624,6),(32625,6),(32626,4),(32627,3),(32628,2),(32629,3),(32630,9),(32631,1),(32632,2),(32633,6),(32634,9),(32635,3),(32636,5),(32637,1),(32638,2),(32639,6),(32640,6),(32641,2),(32642,8),(32643,8),(32644,3),(32645,3),(32646,4),(32647,8),(32648,9),(32649,2),(32650,2),(32651,5),(32652,1),(32653,1),(32654,8),(32655,3),(32656,4),(32657,9),(32658,5),(32659,5),(32660,5),(32661,4),(32662,5),(32663,6),(32664,8),(32665,3),(32666,9),(32667,3),(32668,5),(32669,6),(32670,9),(32671,9),(32672,9),(32673,1),(32674,7),(32675,2),(32676,7),(32677,6),(32678,1),(32679,2),(32680,9),(32681,1),(32682,4),(32683,7),(32684,2),(32685,7),(32686,3),(32687,2),(32688,4),(32689,7),(32690,6),(32691,8),(32692,7),(32693,8),(32694,1),(32695,3),(32696,2),(32697,8),(32698,6),(32699,3),(32700,4),(32701,5),(32702,8),(32703,5),(32704,4),(32705,4),(32706,9),(32707,4),(32708,8),(32709,6),(32710,7),(32711,9),(32712,2),(32713,8),(32714,1),(32715,7),(32716,4),(32717,8),(32718,1),(32719,5),(32720,9),(32721,9),(32722,2),(32723,7),(32724,3),(32725,9),(32726,8),(32727,1),(32728,8),(32729,8),(32730,8),(32731,2),(32732,6),(32733,8),(32734,1),(32735,3),(32736,1),(32737,6),(32738,9),(32739,8),(32740,1),(32741,1),(32742,9),(32743,1),(32744,2),(32745,7),(32746,1),(32747,9),(32748,5),(32749,2),(32750,6),(32751,1),(32752,8),(32753,8),(32754,9),(32755,6),(32756,2),(32757,3),(32758,5),(32759,6),(32760,2),(32761,2),(32762,5),(32763,2),(32764,8),(32765,4),(32766,1),(32767,1),(32768,2),(32769,1),(32770,5),(32771,9),(32772,6),(32773,5),(32774,6),(32775,6),(32776,8),(32777,6),(32778,5),(32779,3),(32780,4),(32781,8),(32782,2),(32783,2),(32784,8),(32785,6),(32786,5),(32787,9),(32788,5),(32789,8),(32790,6),(32791,1),(32792,9),(32793,6),(32794,2),(32795,6),(32796,2),(32797,7),(32798,6),(32799,7),(32800,7),(32801,9),(32802,3),(32803,6),(32804,7),(32805,6),(32806,1),(32807,7),(32808,6),(32809,9),(32810,8),(32811,8),(32812,3),(32813,9),(32814,4),(32815,8),(32816,2),(32817,1),(32818,4),(32819,5),(32820,7),(32821,1),(32822,3),(32823,1),(32824,7),(32825,1),(32826,5),(32827,7),(32828,3),(32829,2),(32830,4),(32831,1),(32832,6),(32833,8),(32834,1),(32835,5),(32836,9),(32837,4),(32838,4),(32839,5),(32840,3),(32841,8),(32842,5),(32843,1),(32844,6),(32845,8),(32846,8),(32847,6),(32848,3),(32849,2),(32850,9),(32851,2),(32852,6),(32853,1),(32854,5),(32855,8),(32856,9),(32857,3),(32858,4),(32859,2),(32860,8),(32861,2),(32862,6),(32863,6),(32864,4),(32865,6),(32866,2),(32867,9),(32868,6),(32869,6),(32870,7),(32871,9),(32872,7),(32873,9),(32874,6),(32875,5),(32876,1),(32877,1),(32878,8),(32879,4),(32880,8),(32881,3),(32882,7),(32883,1),(32884,8),(32885,7),(32886,1),(32887,3),(32888,3),(32889,3),(32890,7),(32891,4),(32892,7),(32893,1),(32894,3),(32895,2),(32896,1),(32897,1),(32898,3),(32899,2),(32900,9),(32901,4),(32902,6),(32903,9),(32904,6),(32905,6),(32906,8),(32907,5),(32908,1),(32909,2),(32910,1),(32911,1),(32912,8),(32913,1),(32914,5),(32915,1),(32916,1),(32917,7),(32918,4),(32919,8),(32920,4),(32921,3),(32922,4),(32923,9),(32924,5),(32925,4),(32926,6),(32927,5),(32928,2),(32929,4),(32930,8),(32931,1),(32932,3),(32933,6),(32934,6),(32935,1),(32936,6),(32937,4),(32938,9),(32939,2),(32940,5),(32941,5),(32942,7),(32943,7),(32944,8),(32945,9),(32946,7),(32947,4),(32948,9),(32949,7),(32950,7),(32951,2),(32952,4),(32953,8),(32954,1),(32955,7),(32956,6),(32957,8),(32958,9),(32959,4),(32960,8),(32961,7),(32962,1),(32963,9),(32964,7),(32965,3),(32966,8),(32967,6),(32968,1),(32969,6),(32970,5),(32971,2),(32972,7),(32973,5),(32974,4),(32975,4),(32976,3),(32977,9),(32978,3),(32979,4),(32980,9),(32981,3),(32982,2),(32983,4),(32984,3),(32985,4),(32986,5),(32987,6),(32988,9),(32989,3),(32990,6),(32991,9),(32992,1),(32993,7),(32994,3),(32995,9),(32996,7),(32997,5),(32998,5),(32999,8),(33000,8),(33001,1),(33002,2),(33003,9),(33004,1),(33005,1),(33006,7),(33007,8),(33008,7),(33009,9),(33010,4),(33011,6),(33012,5),(33013,3),(33014,3),(33015,2),(33016,8),(33017,2),(33018,4),(33019,2),(33020,9),(33021,9),(33022,4),(33023,9),(33024,4),(33025,9),(33026,8),(33027,5),(33028,9),(33029,8),(33030,7),(33031,8),(33032,1),(33033,9),(33034,9),(33035,2),(33036,1),(33037,7),(33038,8),(33039,7),(33040,7),(33041,6),(33042,3),(33043,9),(33044,2),(33045,3),(33046,5),(33047,4),(33048,8),(33049,9),(33050,8),(33051,2),(33052,8),(33053,6),(33054,3),(33055,6),(33056,7),(33057,7),(33058,6),(33059,3),(33060,6),(33061,6),(33062,3),(33063,9),(33064,4),(33065,1),(33066,3),(33067,8),(33068,2),(33069,2),(33070,7),(33071,4),(33072,2),(33073,7),(33074,4),(33075,5),(33076,1),(33077,2),(33078,2),(33079,8),(33080,6),(33081,9),(33082,2),(33083,2),(33084,5),(33085,4),(33086,8),(33087,5),(33088,9),(33089,7),(33090,9),(33091,7),(33092,4),(33093,1),(33094,5),(33095,6),(33096,8),(33097,9),(33098,1),(33099,3),(33100,1),(33101,1),(33102,2),(33103,6),(33104,9),(33105,6),(33106,9),(33107,4),(33108,9),(33109,6),(33110,2),(33111,6),(33112,2),(33113,5),(33114,2),(33115,5),(33116,1),(33117,6),(33118,3),(33119,3),(33120,4),(33121,3),(33122,4),(33123,8),(33124,4),(33125,1),(33126,5),(33127,6),(33128,2),(33129,9),(33130,9),(33131,3),(33132,8),(33133,5),(33134,1),(33135,5),(33136,2),(33137,7),(33138,5),(33139,6),(33140,8),(33141,9),(33142,8),(33143,7),(33144,8),(33145,8),(33146,9),(33147,9),(33148,9),(33149,7),(33150,6),(33151,4),(33152,6),(33153,5),(33154,4),(33155,8),(33156,1),(33157,7),(33158,8),(33159,2),(33160,5),(33161,3),(33162,7),(33163,1),(33164,7),(33165,4),(33166,1),(33167,6),(33168,9),(33169,1),(33170,2),(33171,7),(33172,6),(33173,4),(33174,6),(33175,5),(33176,8),(33177,8),(33178,6),(33179,3),(33180,2),(33181,2),(33182,4),(33183,3),(33184,1),(33185,8),(33186,4),(33187,1),(33188,5),(33189,3),(33190,8),(33191,5),(33192,9),(33193,2),(33194,4),(33195,6),(33196,3),(33197,7),(33198,3),(33199,5),(33200,2),(33201,5),(33202,5),(33203,3),(33204,5),(33205,2),(33206,9),(33207,4),(33208,2),(33209,9),(33210,5),(33211,2),(33212,5),(33213,7),(33214,9),(33215,3),(33216,6),(33217,6),(33218,7),(33219,8),(33220,8),(33221,7),(33222,3),(33223,1),(33224,1),(33225,6),(33226,8),(33227,6),(33228,3),(33229,5),(33230,3),(33231,7),(33232,6),(33233,7),(33234,2),(33235,6),(33236,9),(33237,4),(33238,2),(33239,8),(33240,2),(33241,1),(33242,5),(33243,5),(33244,4),(33245,3),(33246,5),(33247,5),(33248,8),(33249,1),(33250,6),(33251,6),(33252,8),(33253,3),(33254,4),(33255,1),(33256,3),(33257,5),(33258,7),(33259,8),(33260,1),(33261,2),(33262,1),(33263,4),(33264,1),(33265,8),(33266,4),(33267,5),(33268,7),(33269,9),(33270,7),(33271,2),(33272,7),(33273,2),(33274,4),(33275,4),(33276,4),(33277,6),(33278,4),(33279,4),(33280,4),(33281,3),(33282,3),(33283,9),(33284,2),(33285,3),(33286,8),(33287,4),(33288,6),(33289,9),(33290,3),(33291,5),(33292,4),(33293,8),(33294,9),(33295,4),(33296,4),(33297,7),(33298,3),(33299,3),(33300,1),(33301,9),(33302,4),(33303,3),(33304,6),(33305,7),(33306,8),(33307,3),(33308,1),(33309,3),(33310,5),(33311,9),(33312,4),(33313,6),(33314,4),(33315,8),(33316,9),(33317,7),(33318,3),(33319,9),(33320,6),(33321,3),(33322,7),(33323,2),(33324,1),(33325,6),(33326,6),(33327,5),(33328,7),(33329,2),(33330,6),(33331,6),(33332,7),(33333,4),(33334,4),(33335,5),(33336,9),(33337,6),(33338,6),(33339,3),(33340,4),(33341,6),(33342,7),(33343,2),(33344,8),(33345,9),(33346,2),(33347,4),(33348,1),(33349,9),(33350,4),(33351,7),(33352,3),(33353,7),(33354,2),(33355,3),(33356,8),(33357,5),(33358,9),(33359,5),(33360,5),(33361,9),(33362,8),(33363,6),(33364,5),(33365,8),(33366,3),(33367,9),(33368,9),(33369,9),(33370,4),(33371,4),(33372,9),(33373,5),(33374,9),(33375,3),(33376,2),(33377,9),(33378,1),(33379,6),(33380,3),(33381,1),(33382,5),(33383,1),(33384,8),(33385,1),(33386,3),(33387,2),(33388,7),(33389,1),(33390,3),(33391,5),(33392,7),(33393,8),(33394,8),(33395,5),(33396,7),(33397,5),(33398,3),(33399,7),(33400,4),(33401,8),(33402,4),(33403,5),(33404,2),(33405,4),(33406,5),(33407,8),(33408,4),(33409,6),(33410,9),(33411,2),(33412,7),(33413,9),(33414,1),(33415,1),(33416,8),(33417,1),(33418,3),(33419,3),(33420,4),(33421,5),(33422,6),(33423,7),(33424,7),(33425,8),(33426,8),(33427,8),(33428,6),(33429,7),(33430,7),(33431,5),(33432,8),(33433,2),(33434,2),(33435,4),(33436,6),(33437,6),(33438,6),(33439,1),(33440,3),(33441,3),(33442,5),(33443,4),(33444,6),(33445,6),(33446,2),(33447,7),(33448,8),(33449,7),(33450,8),(33451,1),(33452,8),(33453,2),(33454,1),(33455,1),(33456,4),(33457,5),(33458,1),(33459,6),(33460,9),(33461,3),(33462,5),(33463,7),(33464,2),(33465,5),(33466,1),(33467,5),(33468,2),(33469,2),(33470,6),(33471,8),(33472,3),(33473,9),(33474,7),(33475,7),(33476,5),(33477,7),(33478,9),(33479,6),(33480,9),(33481,8),(33482,1),(33483,3),(33484,5),(33485,8),(33486,9),(33487,8),(33488,1),(33489,9),(33490,9),(33491,2),(33492,7),(33493,3),(33494,3),(33495,1),(33496,6),(33497,8),(33498,3),(33499,6),(33500,4),(33501,7),(33502,8),(33503,4),(33504,8),(33505,3),(33506,6),(33507,1),(33508,5),(33509,3),(33510,1),(33511,7),(33512,4),(33513,3),(33514,8),(33515,7),(33516,3),(33517,5),(33518,4),(33519,6),(33520,9),(33521,8),(33522,9),(33523,9),(33524,4),(33525,9),(33526,8),(33527,7),(33528,6),(33529,8),(33530,8),(33531,2),(33532,5),(33533,4),(33534,3),(33535,4),(33536,9),(33537,8),(33538,3),(33539,8),(33540,6),(33541,5),(33542,8),(33543,1),(33544,9),(33545,1),(33546,1),(33547,5),(33548,3),(33549,8),(33550,4),(33551,8),(33552,9),(33553,2),(33554,7),(33555,8),(33556,9),(33557,6),(33558,4),(33559,3),(33560,9),(33561,4),(33562,3),(33563,5),(33564,2),(33565,2),(33566,5),(33567,6),(33568,4),(33569,3),(33570,6),(33571,4),(33572,3),(33573,6),(33574,5),(33575,9),(33576,5),(33577,3),(33578,1),(33579,9),(33580,1),(33581,1),(33582,7),(33583,5),(33584,5),(33585,5),(33586,9),(33587,5),(33588,4),(33589,2),(33590,1),(33591,6),(33592,4),(33593,4),(33594,2),(33595,8),(33596,6),(33597,3),(33598,4),(33599,5),(33600,1),(33601,4),(33602,5),(33603,2),(33604,3),(33605,5),(33606,8),(33607,7),(33608,7),(33609,9),(33610,9),(33611,3),(33612,4),(33613,1),(33614,6),(33615,8),(33616,7),(33617,8),(33618,4),(33619,5),(33620,7),(33621,8),(33622,5),(33623,8),(33624,9),(33625,7),(33626,5),(33627,1),(33628,9),(33629,9),(33630,6),(33631,5),(33632,5),(33633,4),(33634,2),(33635,8),(33636,9),(33637,7),(33638,2),(33639,9),(33640,1),(33641,5),(33642,4),(33643,8),(33644,4),(33645,7),(33646,2),(33647,7),(33648,1),(33649,7),(33650,9),(33651,6),(33652,6),(33653,2),(33654,3),(33655,4),(33656,5),(33657,1),(33658,5),(33659,7),(33660,5),(33661,1),(33662,1),(33663,7),(33664,6),(33665,3),(33666,5),(33667,4),(33668,8),(33669,8),(33670,4),(33671,7),(33672,1),(33673,4),(33674,5),(33675,1),(33676,8),(33677,6),(33678,2),(33679,2),(33680,7),(33681,2),(33682,2),(33683,3),(33684,7),(33685,9),(33686,6),(33687,3),(33688,8),(33689,8),(33690,8),(33691,5),(33692,3),(33693,7),(33694,8),(33695,4),(33696,8),(33697,4),(33698,6),(33699,3),(33700,8),(33701,9),(33702,3),(33703,8),(33704,3),(33705,6),(33706,6),(33707,2),(33708,4),(33709,3),(33710,9),(33711,4),(33712,8),(33713,6),(33714,2),(33715,2),(33716,6),(33717,2),(33718,2),(33719,6),(33720,9),(33721,9),(33722,7),(33723,9),(33724,4),(33725,2),(33726,4),(33727,4),(33728,5),(33729,4),(33730,6),(33731,6),(33732,3),(33733,4),(33734,1),(33735,1),(33736,7),(33737,1),(33738,8),(33739,7),(33740,7),(33741,4),(33742,4),(33743,9),(33744,5),(33745,8),(33746,2),(33747,5),(33748,9),(33749,1),(33750,5),(33751,1),(33752,8),(33753,9),(33754,3),(33755,3),(33756,8),(33757,1),(33758,2),(33759,5),(33760,6),(33761,8),(33762,9),(33763,2),(33764,2),(33765,2),(33766,1),(33767,9),(33768,3),(33769,2),(33770,1),(33771,5),(33772,4),(33773,7),(33774,4),(33775,4),(33776,7),(33777,7),(33778,5),(33779,9),(33780,4),(33781,6),(33782,3),(33783,5),(33784,3),(33785,2),(33786,7),(33787,1),(33788,3),(33789,3),(33790,5),(33791,8),(33792,6),(33793,9),(33794,1),(33795,8),(33796,6),(33797,2),(33798,6),(33799,2),(33800,7),(33801,2),(33802,4),(33803,8),(33804,3),(33805,8),(33806,8),(33807,6),(33808,3),(33809,5),(33810,9),(33811,1),(33812,8),(33813,5),(33814,4),(33815,7),(33816,8),(33817,2),(33818,3),(33819,3),(33820,8),(33821,6),(33822,2),(33823,9),(33824,6),(33825,9),(33826,5),(33827,3),(33828,9),(33829,9),(33830,4),(33831,7),(33832,5),(33833,1),(33834,8),(33835,2),(33836,9),(33837,8),(33838,9),(33839,8),(33840,4),(33841,4),(33842,8),(33843,9),(33844,7),(33845,7),(33846,7),(33847,4),(33848,8),(33849,8),(33850,2),(33851,7),(33852,3),(33853,3),(33854,2),(33855,6),(33856,5),(33857,8),(33858,4),(33859,4),(33860,9),(33861,1),(33862,9),(33863,9),(33864,9),(33865,2),(33866,5),(33867,9),(33868,1),(33869,8),(33870,5),(33871,9),(33872,8),(33873,7),(33874,6),(33875,7),(33876,1),(33877,1),(33878,4),(33879,6),(33880,5),(33881,4),(33882,2),(33883,2),(33884,3),(33885,1),(33886,6),(33887,9),(33888,9),(33889,7),(33890,7),(33891,3),(33892,6),(33893,1),(33894,1),(33895,3),(33896,4),(33897,2),(33898,6),(33899,6),(33900,9),(33901,2),(33902,8),(33903,6),(33904,4),(33905,4),(33906,9),(33907,4),(33908,6),(33909,2),(33910,4),(33911,4),(33912,8),(33913,5),(33914,9),(33915,8),(33916,2),(33917,8),(33918,7),(33919,7),(33920,2),(33921,7),(33922,2),(33923,4),(33924,4),(33925,8),(33926,4),(33927,6),(33928,1),(33929,8),(33930,2),(33931,8),(33932,8),(33933,7),(33934,7),(33935,7),(33936,3),(33937,5),(33938,3),(33939,9),(33940,3),(33941,5),(33942,2),(33943,7),(33944,6),(33945,6),(33946,1),(33947,2),(33948,7),(33949,2),(33950,8),(33951,4),(33952,5),(33953,9),(33954,7),(33955,1),(33956,5),(33957,9),(33958,1),(33959,4),(33960,9),(33961,3),(33962,4),(33963,6),(33964,4),(33965,6),(33966,2),(33967,1),(33968,8),(33969,8),(33970,1),(33971,4),(33972,6),(33973,6),(33974,3),(33975,9),(33976,2),(33977,7),(33978,3),(33979,4),(33980,9),(33981,3),(33982,6),(33983,8),(33984,8),(33985,2),(33986,2),(33987,9),(33988,5),(33989,7),(33990,8),(33991,9),(33992,2),(33993,7),(33994,2),(33995,7),(33996,3),(33997,6),(33998,7),(33999,6),(34000,8),(34001,8),(34002,5),(34003,1),(34004,7),(34005,8),(34006,3),(34007,7),(34008,3),(34009,2),(34010,2),(34011,3),(34012,1),(34013,9),(34014,9),(34015,8),(34016,5),(34017,4),(34018,2),(34019,8),(34020,4),(34021,8),(34022,8),(34023,3),(34024,8),(34025,9),(34026,9),(34027,5),(34028,8),(34029,5),(34030,3),(34031,2),(34032,9),(34033,9),(34034,8),(34035,9),(34036,9),(34037,1),(34038,2),(34039,6),(34040,9),(34041,7),(34042,6),(34043,5),(34044,9),(34045,5),(34046,2),(34047,7),(34048,1),(34049,8),(34050,8),(34051,5),(34052,5),(34053,9),(34054,6),(34055,9),(34056,4),(34057,5),(34058,6),(34059,6),(34060,8),(34061,5),(34062,1),(34063,8),(34064,9),(34065,8),(34066,2),(34067,7),(34068,2),(34069,9),(34070,2),(34071,5),(34072,1),(34073,4),(34074,1),(34075,6),(34076,9),(34077,4),(34078,5),(34079,6),(34080,1),(34081,2),(34082,9),(34083,3),(34084,4),(34085,4),(34086,2),(34087,9),(34088,6),(34089,4),(34090,9),(34091,4),(34092,6),(34093,4),(34094,2),(34095,4),(34096,5),(34097,3),(34098,5),(34099,2),(34100,6),(34101,3),(34102,5),(34103,5),(34104,8),(34105,9),(34106,5),(34107,4),(34108,1),(34109,9),(34110,6),(34111,3),(34112,3),(34113,7),(34114,4),(34115,9),(34116,8),(34117,1),(34118,2),(34119,2),(34120,9),(34121,6),(34122,6),(34123,3),(34124,5),(34125,4),(34126,3),(34127,8),(34128,7),(34129,6),(34130,6),(34131,2),(34132,4),(34133,2),(34134,8),(34135,9),(34136,9),(34137,8),(34138,9),(34139,6),(34140,4),(34141,9),(34142,7),(34143,8),(34144,4),(34145,4),(34146,4),(34147,5),(34148,7),(34149,5),(34150,2),(34151,5),(34152,6),(34153,6),(34154,9),(34155,9),(34156,9),(34157,5),(34158,3),(34159,1),(34160,9),(34161,1),(34162,6),(34163,4),(34164,4),(34165,6),(34166,8),(34167,4),(34168,6),(34169,6),(34170,6),(34171,7),(34172,2),(34173,2),(34174,7),(34175,5),(34176,6),(34177,3),(34178,1),(34179,2),(34180,9),(34181,9),(34182,8),(34183,4),(34184,9),(34185,3),(34186,3),(34187,9),(34188,5),(34189,4),(34190,1),(34191,5),(34192,3),(34193,4),(34194,1),(34195,3),(34196,4),(34197,5),(34198,8),(34199,9),(34200,1),(34201,1),(34202,5),(34203,3),(34204,7),(34205,8),(34206,3),(34207,2),(34208,4),(34209,2),(34210,1),(34211,6),(34212,9),(34213,9),(34214,1),(34215,7),(34216,4),(34217,2),(34218,8),(34219,2),(34220,2),(34221,9),(34222,9),(34223,4),(34224,4),(34225,8),(34226,1),(34227,7),(34228,7),(34229,5),(34230,1),(34231,9),(34232,7),(34233,6),(34234,2),(34235,9),(34236,5),(34237,5),(34238,6),(34239,8),(34240,1),(34241,4),(34242,6),(34243,9),(34244,7),(34245,8),(34246,1),(34247,4),(34248,9),(34249,1),(34250,6),(34251,4),(34252,6),(34253,6),(34254,8),(34255,2),(34256,1),(34257,9),(34258,5),(34259,7),(34260,8),(34261,4),(34262,1),(34263,2),(34264,8),(34265,6),(34266,5),(34267,4),(34268,2),(34269,2),(34270,4),(34271,7),(34272,2),(34273,1),(34274,9),(34275,9),(34276,8),(34277,9),(34278,4),(34279,6),(34280,3),(34281,2),(34282,3),(34283,7),(34284,4),(34285,7),(34286,4),(34287,1),(34288,4),(34289,7),(34290,1),(34291,4),(34292,3),(34293,6),(34294,5),(34295,5),(34296,5),(34297,6),(34298,7),(34299,7),(34300,6),(34301,3),(34302,1),(34303,5),(34304,9),(34305,3),(34306,5),(34307,9),(34308,7),(34309,4),(34310,9),(34311,4),(34312,8),(34313,8),(34314,1),(34315,1),(34316,4),(34317,3),(34318,9),(34319,8),(34320,6),(34321,8),(34322,9),(34323,6),(34324,8),(34325,1),(34326,1),(34327,1),(34328,6),(34329,4),(34330,4),(34331,1),(34332,7),(34333,1),(34334,3),(34335,3),(34336,5),(34337,1),(34338,6),(34339,5),(34340,7),(34341,4),(34342,3),(34343,4),(34344,4),(34345,6),(34346,4),(34347,7),(34348,5),(34349,2),(34350,2),(34351,3),(34352,3),(34353,5),(34354,3),(34355,1),(34356,4),(34357,2),(34358,9),(34359,4),(34360,8),(34361,3),(34362,1),(34363,3),(34364,4),(34365,3),(34366,7),(34367,7),(34368,3),(34369,2),(34370,5),(34371,8),(34372,4),(34373,5),(34374,5),(34375,8),(34376,5),(34377,8),(34378,2),(34379,1),(34380,5),(34381,7),(34382,3),(34383,5),(34384,7),(34385,4),(34386,5),(34387,5),(34388,1),(34389,9),(34390,7),(34391,2),(34392,6),(34393,2),(34394,7),(34395,1),(34396,5),(34397,1),(34398,2),(34399,4),(34400,2),(34401,4),(34402,8),(34403,4),(34404,6),(34405,4),(34406,8),(34407,7),(34408,3),(34409,5),(34410,8),(34411,8),(34412,9),(34413,4),(34414,7),(34415,4),(34416,6),(34417,6),(34418,7),(34419,7),(34420,5),(34421,2),(34422,4),(34423,3),(34424,7),(34425,1),(34426,5),(34427,8),(34428,7),(34429,9),(34430,5),(34431,7),(34432,5),(34433,1),(34434,6),(34435,2),(34436,6),(34437,9),(34438,5),(34439,4),(34440,3),(34441,4),(34442,2),(34443,9),(34444,2),(34445,7),(34446,1),(34447,2),(34448,8),(34449,2),(34450,5),(34451,8),(34452,6),(34453,3),(34454,6),(34455,2),(34456,6),(34457,9),(34458,6),(34459,2),(34460,5),(34461,1),(34462,5),(34463,1),(34464,5),(34465,5),(34466,9),(34467,7),(34468,6),(34469,8),(34470,9),(34471,3),(34472,2),(34473,5),(34474,3),(34475,9),(34476,6),(34477,8),(34478,8),(34479,1),(34480,3),(34481,8),(34482,3),(34483,6),(34484,8),(34485,5),(34486,8),(34487,6),(34488,4),(34489,3),(34490,2),(34491,8),(34492,8),(34493,6),(34494,1),(34495,1),(34496,1),(34497,4),(34498,3),(34499,3),(34500,4),(34501,9),(34502,1),(34503,5),(34504,9),(34505,9),(34506,6),(34507,3),(34508,2),(34509,7),(34510,9),(34511,9),(34512,1),(34513,5),(34514,6),(34515,2),(34516,5),(34517,2),(34518,8),(34519,8),(34520,8),(34521,6),(34522,4),(34523,8),(34524,9),(34525,9),(34526,5),(34527,4),(34528,8),(34529,6),(34530,7),(34531,1),(34532,2),(34533,9),(34534,1),(34535,8),(34536,5),(34537,5),(34538,7),(34539,7),(34540,9),(34541,8),(34542,3),(34543,9),(34544,2),(34545,6),(34546,1),(34547,2),(34548,9),(34549,6),(34550,3),(34551,9),(34552,9),(34553,2),(34554,6),(34555,4),(34556,5),(34557,9),(34558,5),(34559,8),(34560,2),(34561,8),(34562,6),(34563,1),(34564,9),(34565,3),(34566,1),(34567,1),(34568,6),(34569,9),(34570,5),(34571,5),(34572,8),(34573,5),(34574,5),(34575,3),(34576,8),(34577,2),(34578,5),(34579,7),(34580,7),(34581,2),(34582,6),(34583,8),(34584,5),(34585,2),(34586,6),(34587,1),(34588,2),(34589,6),(34590,7),(34591,7),(34592,3),(34593,5),(34594,8),(34595,2),(34596,8),(34597,1),(34598,1),(34599,7),(34600,8),(34601,4),(34602,3),(34603,4),(34604,1),(34605,6),(34606,6),(34607,5),(34608,2),(34609,1),(34610,1),(34611,4),(34612,8),(34613,3),(34614,1),(34615,9),(34616,9),(34617,5),(34618,1),(34619,1),(34620,5),(34621,8),(34622,2),(34623,6),(34624,3),(34625,7),(34626,2),(34627,2),(34628,3),(34629,4),(34630,2),(34631,7),(34632,9),(34633,9),(34634,8),(34635,7),(34636,4),(34637,3),(34638,9),(34639,7),(34640,6),(34641,8),(34642,5),(34643,2),(34644,1),(34645,7),(34646,5),(34647,3),(34648,8),(34649,8),(34650,2),(34651,8),(34652,3),(34653,7),(34654,5),(34655,9),(34656,4),(34657,2),(34658,1),(34659,8),(34660,8),(34661,2),(34662,9),(34663,1),(34664,6),(34665,3),(34666,6),(34667,4),(34668,1),(34669,5),(34670,7),(34671,4),(34672,9),(34673,7),(34674,1),(34675,3),(34676,7),(34677,9),(34678,5),(34679,2),(34680,1),(34681,8),(34682,2),(34683,3),(34684,1),(34685,3),(34686,3),(34687,8),(34688,9),(34689,1),(34690,1),(34691,7),(34692,2),(34693,8),(34694,2),(34695,6),(34696,6),(34697,2),(34698,6),(34699,2),(34700,9),(34701,9),(34702,6),(34703,5),(34704,7),(34705,7),(34706,4),(34707,1),(34708,7),(34709,2),(34710,1),(34711,1),(34712,3),(34713,7),(34714,3),(34715,6),(34716,9),(34717,8),(34718,3),(34719,4),(34720,3),(34721,8),(34722,7),(34723,6),(34724,7),(34725,1),(34726,7),(34727,8),(34728,6),(34729,1),(34730,2),(34731,6),(34732,6),(34733,1),(34734,7),(34735,3),(34736,7),(34737,6),(34738,5),(34739,6),(34740,7),(34741,1),(34742,7),(34743,2),(34744,5),(34745,5),(34746,2),(34747,9),(34748,5),(34749,3),(34750,7),(34751,8),(34752,5),(34753,2),(34754,9),(34755,9),(34756,7),(34757,7),(34758,7),(34759,1),(34760,8),(34761,7),(34762,5),(34763,7),(34764,9),(34765,4),(34766,4),(34767,1),(34768,5),(34769,6),(34770,1),(34771,8),(34772,8),(34773,2),(34774,8),(34775,5),(34776,3),(34777,1),(34778,1),(34779,1),(34780,1),(34781,5),(34782,3),(34783,6),(34784,3),(34785,2),(34786,4),(34787,1),(34788,2),(34789,2),(34790,6),(34791,5),(34792,4),(34793,4),(34794,9),(34795,8),(34796,8),(34797,4),(34798,5),(34799,8),(34800,7),(34801,6),(34802,7),(34803,7),(34804,7),(34805,9),(34806,9),(34807,7),(34808,1),(34809,1),(34810,3),(34811,5),(34812,5),(34813,9),(34814,2),(34815,9),(34816,2),(34817,1),(34818,3),(34819,7),(34820,9),(34821,4),(34822,2),(34823,2),(34824,2),(34825,5),(34826,7),(34827,3),(34828,2),(34829,4),(34830,6),(34831,9),(34832,4),(34833,4),(34834,8),(34835,7),(34836,6),(34837,9),(34838,5),(34839,6),(34840,5),(34841,2),(34842,2),(34843,5),(34844,8),(34845,2),(34846,6),(34847,7),(34848,6),(34849,1),(34850,6),(34851,5),(34852,8),(34853,6),(34854,2),(34855,3),(34856,7),(34857,4),(34858,8),(34859,2),(34860,5),(34861,2),(34862,6),(34863,9),(34864,3),(34865,8),(34866,4),(34867,1),(34868,2),(34869,1),(34870,1),(34871,1),(34872,8),(34873,6),(34874,2),(34875,2),(34876,7),(34877,1),(34878,4),(34879,8),(34880,2),(34881,1),(34882,6),(34883,2),(34884,3),(34885,5),(34886,9),(34887,5),(34888,6),(34889,4),(34890,9),(34891,2),(34892,7),(34893,5),(34894,9),(34895,1),(34896,2),(34897,4),(34898,8),(34899,6),(34900,1),(34901,1),(34902,4),(34903,3),(34904,7),(34905,9),(34906,4),(34907,9),(34908,8),(34909,7),(34910,5),(34911,3),(34912,5),(34913,3),(34914,3),(34915,3),(34916,4),(34917,3),(34918,3),(34919,9),(34920,9),(34921,9),(34922,4),(34923,2),(34924,6),(34925,8),(34926,9),(34927,1),(34928,4),(34929,5),(34930,8),(34931,6),(34932,3),(34933,7),(34934,3),(34935,8),(34936,5),(34937,1),(34938,9),(34939,7),(34940,9),(34941,7),(34942,2),(34943,2),(34944,1),(34945,2),(34946,1),(34947,1),(34948,1),(34949,1),(34950,3),(34951,5),(34952,3),(34953,1),(34954,3),(34955,3),(34956,8),(34957,6),(34958,5),(34959,9),(34960,9),(34961,9),(34962,8),(34963,9),(34964,6),(34965,9),(34966,6),(34967,8),(34968,4),(34969,9),(34970,1),(34971,6),(34972,4),(34973,1),(34974,7),(34975,1),(34976,3),(34977,1),(34978,6),(34979,2),(34980,1),(34981,6),(34982,1),(34983,1),(34984,9),(34985,5),(34986,2),(34987,7),(34988,7),(34989,2),(34990,5),(34991,6),(34992,6),(34993,2),(34994,5),(34995,2),(34996,8),(34997,5),(34998,7),(34999,5),(35000,3),(35001,2),(35002,8),(35003,2),(35004,7),(35005,1),(35006,1),(35007,1),(35008,9),(35009,6),(35010,5),(35011,6),(35012,7),(35013,6),(35014,1),(35015,9),(35016,5),(35017,8),(35018,9),(35019,7),(35020,3),(35021,3),(35022,5),(35023,1),(35024,4),(35025,1),(35026,5),(35027,6),(35028,4),(35029,5),(35030,9),(35031,5),(35032,7),(35033,2),(35034,4),(35035,1),(35036,2),(35037,8),(35038,1),(35039,7),(35040,9),(35041,9),(35042,9),(35043,2),(35044,9),(35045,2),(35046,6),(35047,1),(35048,2),(35049,6),(35050,1),(35051,6),(35052,7),(35053,4),(35054,5),(35055,9),(35056,8),(35057,9),(35058,1),(35059,5),(35060,5),(35061,7),(35062,1),(35063,7),(35064,9),(35065,3),(35066,2),(35067,7),(35068,3),(35069,4),(35070,8),(35071,9),(35072,8),(35073,6),(35074,2),(35075,3),(35076,9),(35077,2),(35078,6),(35079,3),(35080,8),(35081,9),(35082,2),(35083,5),(35084,3),(35085,3),(35086,8),(35087,6),(35088,7),(35089,4),(35090,6),(35091,6),(35092,9),(35093,5),(35094,9),(35095,2),(35096,8),(35097,4),(35098,8),(35099,6),(35100,2),(35101,4),(35102,9),(35103,5),(35104,3),(35105,1),(35106,5),(35107,8),(35108,6),(35109,3),(35110,6),(35111,1),(35112,9),(35113,4),(35114,7),(35115,4),(35116,2),(35117,4),(35118,9),(35119,1),(35120,2),(35121,3),(35122,1),(35123,5),(35124,2),(35125,4),(35126,2),(35127,2),(35128,1),(35129,5),(35130,2),(35131,8),(35132,4),(35133,5),(35134,5),(35135,4),(35136,8),(35137,2),(35138,2),(35139,6),(35140,6),(35141,5),(35142,4),(35143,2),(35144,1),(35145,5),(35146,7),(35147,3),(35148,8),(35149,7),(35150,2),(35151,3),(35152,8),(35153,6),(35154,2),(35155,5),(35156,3),(35157,1),(35158,3),(35159,8),(35160,2),(35161,6),(35162,1),(35163,7),(35164,2),(35165,9),(35166,3),(35167,6),(35168,8),(35169,9),(35170,1),(35171,2),(35172,5),(35173,8),(35174,2),(35175,8),(35176,6),(35177,3),(35178,1),(35179,7),(35180,4),(35181,8),(35182,6),(35183,7),(35184,3),(35185,5),(35186,5),(35187,1),(35188,4),(35189,1),(35190,8),(35191,7),(35192,4),(35193,4),(35194,1),(35195,2),(35196,5),(35197,3),(35198,6),(35199,8),(35200,2),(35201,4),(35202,8),(35203,8),(35204,5),(35205,7),(35206,5),(35207,4),(35208,5),(35209,3),(35210,1),(35211,9),(35212,1),(35213,3),(35214,8),(35215,7),(35216,1),(35217,5),(35218,1),(35219,9),(35220,9),(35221,7),(35222,2),(35223,4),(35224,8),(35225,1),(35226,7),(35227,3),(35228,5),(35229,8),(35230,6),(35231,8),(35232,4),(35233,1),(35234,9),(35235,4),(35236,4),(35237,3),(35238,1),(35239,7),(35240,3),(35241,8),(35242,8),(35243,8),(35244,1),(35245,5),(35246,5),(35247,9),(35248,8),(35249,8),(35250,1),(35251,8),(35252,2),(35253,6),(35254,1),(35255,4),(35256,3),(35257,5),(35258,2),(35259,2),(35260,7),(35261,7),(35262,5),(35263,2),(35264,1),(35265,9),(35266,6),(35267,6),(35268,6),(35269,5),(35270,6),(35271,1),(35272,9),(35273,5),(35274,2),(35275,7),(35276,9),(35277,1),(35278,4),(35279,8),(35280,9),(35281,3),(35282,5),(35283,8),(35284,9),(35285,6),(35286,1),(35287,9),(35288,5),(35289,7),(35290,5),(35291,3),(35292,1),(35293,8),(35294,8),(35295,7),(35296,7),(35297,3),(35298,2),(35299,1),(35300,8),(35301,3),(35302,7),(35303,3),(35304,8),(35305,3),(35306,7),(35307,9),(35308,4),(35309,4),(35310,4),(35311,9),(35312,4),(35313,6),(35314,5),(35315,2),(35316,3),(35317,5),(35318,5),(35319,7),(35320,6),(35321,6),(35322,4),(35323,6),(35324,8),(35325,8),(35326,7),(35327,6),(35328,1),(35329,1),(35330,7),(35331,4),(35332,7),(35333,6),(35334,6),(35335,4),(35336,5),(35337,3),(35338,6),(35339,3),(35340,6),(35341,8),(35342,7),(35343,8),(35344,8),(35345,2),(35346,5),(35347,2),(35348,7),(35349,9),(35350,5),(35351,4),(35352,8),(35353,5),(35354,8),(35355,6),(35356,1),(35357,7),(35358,6),(35359,4),(35360,9),(35361,9),(35362,6),(35363,4),(35364,1),(35365,9),(35366,4),(35367,6),(35368,4),(35369,1),(35370,6),(35371,5),(35372,3),(35373,9),(35374,7),(35375,1),(35376,6),(35377,2),(35378,5),(35379,5),(35380,9),(35381,7),(35382,1),(35383,6),(35384,5),(35385,7),(35386,3),(35387,6),(35388,5),(35389,8),(35390,9),(35391,6),(35392,5),(35393,6),(35394,1),(35395,9),(35396,8),(35397,5),(35398,3),(35399,8),(35400,6),(35401,1),(35402,5),(35403,2),(35404,9),(35405,2),(35406,1),(35407,4),(35408,3),(35409,4),(35410,7),(35411,4),(35412,9),(35413,2),(35414,7),(35415,4),(35416,7),(35417,9),(35418,9),(35419,4),(35420,7),(35421,7),(35422,3),(35423,1),(35424,5),(35425,1),(35426,1),(35427,3),(35428,1),(35429,1),(35430,2),(35431,9),(35432,3),(35433,4),(35434,7),(35435,2),(35436,3),(35437,7),(35438,9),(35439,3),(35440,2),(35441,9),(35442,2),(35443,4),(35444,1),(35445,1),(35446,9),(35447,7),(35448,4),(35449,1),(35450,7),(35451,6),(35452,1),(35453,4),(35454,5),(35455,3),(35456,6),(35457,7),(35458,4),(35459,5),(35460,3),(35461,9),(35462,4),(35463,7),(35464,7),(35465,3),(35466,5),(35467,4),(35468,4),(35469,3),(35470,5),(35471,7),(35472,1),(35473,1),(35474,7),(35475,7),(35476,2),(35477,1),(35478,1),(35479,6),(35480,4),(35481,4),(35482,3),(35483,5),(35484,5),(35485,8),(35486,4),(35487,9),(35488,3),(35489,2),(35490,7),(35491,7),(35492,8),(35493,5),(35494,1),(35495,7),(35496,3),(35497,9),(35498,8),(35499,1),(35500,7),(35501,8),(35502,8),(35503,1),(35504,1),(35505,2),(35506,5),(35507,3),(35508,1),(35509,7),(35510,6),(35511,7),(35512,1),(35513,1),(35514,4),(35515,8),(35516,7),(35517,6),(35518,2),(35519,3),(35520,4),(35521,6),(35522,4),(35523,6),(35524,5),(35525,9),(35526,2),(35527,5),(35528,8),(35529,4),(35530,5),(35531,5),(35532,3),(35533,7),(35534,5),(35535,4),(35536,2),(35537,9),(35538,4),(35539,3),(35540,2),(35541,2),(35542,5),(35543,8),(35544,5),(35545,9),(35546,1),(35547,6),(35548,7),(35549,5),(35550,7),(35551,3),(35552,4),(35553,5),(35554,9),(35555,5),(35556,5),(35557,5),(35558,8),(35559,4),(35560,5),(35561,8),(35562,5),(35563,7),(35564,8),(35565,5),(35566,4),(35567,2),(35568,7),(35569,9),(35570,9),(35571,7),(35572,3),(35573,5),(35574,3),(35575,3),(35576,1),(35577,6),(35578,7),(35579,9),(35580,5),(35581,5),(35582,8),(35583,6),(35584,5),(35585,1),(35586,2),(35587,7),(35588,5),(35589,8),(35590,8),(35591,6),(35592,6),(35593,8),(35594,3),(35595,2),(35596,3),(35597,4),(35598,2),(35599,2),(35600,8),(35601,3),(35602,3),(35603,7),(35604,4),(35605,1),(35606,4),(35607,9),(35608,8),(35609,1),(35610,5),(35611,6),(35612,1),(35613,9),(35614,2),(35615,2),(35616,1),(35617,1),(35618,4),(35619,3),(35620,7),(35621,8),(35622,9),(35623,3),(35624,2),(35625,4),(35626,3),(35627,5),(35628,9),(35629,1),(35630,6),(35631,1),(35632,6),(35633,8),(35634,9),(35635,9),(35636,2),(35637,9),(35638,8),(35639,6),(35640,9),(35641,7),(35642,9),(35643,1),(35644,4),(35645,6),(35646,6),(35647,6),(35648,3),(35649,5),(35650,1),(35651,8),(35652,4),(35653,4),(35654,8),(35655,2),(35656,3),(35657,6),(35658,8),(35659,9),(35660,8),(35661,7),(35662,7),(35663,8),(35664,8),(35665,6),(35666,5),(35667,1),(35668,5),(35669,5),(35670,7),(35671,4),(35672,2),(35673,3),(35674,5),(35675,7),(35676,6),(35677,6),(35678,6),(35679,5),(35680,1),(35681,6),(35682,4),(35683,9),(35684,6),(35685,7),(35686,8),(35687,2),(35688,1),(35689,4),(35690,9),(35691,9),(35692,3),(35693,8),(35694,1),(35695,4),(35696,9),(35697,1),(35698,5),(35699,5),(35700,8),(35701,4),(35702,1),(35703,1),(35704,9),(35705,3),(35706,9),(35707,5),(35708,3),(35709,9),(35710,8),(35711,2),(35712,9),(35713,9),(35714,7),(35715,4),(35716,1),(35717,1),(35718,9),(35719,6),(35720,7),(35721,9),(35722,4),(35723,7),(35724,3),(35725,9),(35726,8),(35727,6),(35728,8),(35729,8),(35730,9),(35731,3),(35732,4),(35733,3),(35734,9),(35735,2),(35736,1),(35737,6),(35738,2),(35739,6),(35740,2),(35741,2),(35742,1),(35743,9),(35744,2),(35745,2),(35746,7),(35747,2),(35748,6),(35749,2),(35750,7),(35751,2),(35752,5),(35753,8),(35754,6),(35755,8),(35756,1),(35757,5),(35758,6),(35759,7),(35760,4),(35761,4),(35762,3),(35763,8),(35764,5),(35765,1),(35766,9),(35767,9),(35768,2),(35769,5),(35770,4),(35771,2),(35772,1),(35773,5),(35774,8),(35775,3),(35776,8),(35777,9),(35778,6),(35779,5),(35780,7),(35781,3),(35782,7),(35783,2),(35784,5),(35785,6),(35786,6),(35787,6),(35788,9),(35789,2),(35790,4),(35791,9),(35792,9),(35793,2),(35794,2),(35795,3),(35796,8),(35797,6),(35798,7),(35799,2),(35800,9),(35801,6),(35802,4),(35803,1),(35804,5),(35805,9),(35806,3),(35807,9),(35808,8),(35809,8),(35810,4),(35811,8),(35812,6),(35813,3),(35814,3),(35815,2),(35816,6),(35817,1),(35818,6),(35819,7),(35820,5),(35821,3),(35822,4),(35823,8),(35824,8),(35825,4),(35826,5),(35827,6),(35828,3),(35829,3),(35830,1),(35831,3),(35832,8),(35833,8),(35834,2),(35835,8),(35836,9),(35837,9),(35838,4),(35839,6),(35840,8),(35841,6),(35842,5),(35843,9),(35844,2),(35845,1),(35846,3),(35847,1),(35848,9),(35849,9),(35850,8),(35851,9),(35852,3),(35853,2),(35854,4),(35855,3),(35856,6),(35857,2),(35858,6),(35859,8),(35860,2),(35861,3),(35862,2),(35863,3),(35864,1),(35865,5),(35866,9),(35867,9),(35868,8),(35869,3),(35870,1),(35871,1),(35872,4),(35873,1),(35874,2),(35875,5),(35876,5),(35877,1),(35878,7),(35879,9),(35880,7),(35881,3),(35882,9),(35883,3),(35884,7),(35885,4),(35886,2),(35887,2),(35888,7),(35889,4),(35890,4),(35891,6),(35892,6),(35893,5),(35894,1),(35895,8),(35896,5),(35897,8),(35898,5),(35899,2),(35900,6),(35901,3),(35902,4),(35903,6),(35904,3),(35905,1),(35906,3),(35907,2),(35908,3),(35909,6),(35910,9),(35911,2),(35912,3),(35913,8),(35914,3),(35915,2),(35916,6),(35917,1),(35918,6),(35919,6),(35920,5),(35921,7),(35922,5),(35923,5),(35924,5),(35925,8),(35926,5),(35927,6),(35928,6),(35929,2),(35930,5),(35931,1),(35932,8),(35933,9),(35934,1),(35935,7),(35936,2),(35937,2),(35938,3),(35939,2),(35940,4),(35941,2),(35942,5),(35943,5),(35944,9),(35945,6),(35946,1),(35947,2),(35948,9),(35949,7),(35950,5),(35951,5),(35952,3),(35953,8),(35954,2),(35955,9),(35956,1),(35957,1),(35958,3),(35959,7),(35960,8),(35961,7),(35962,9),(35963,4),(35964,4),(35965,3),(35966,3),(35967,7),(35968,9),(35969,9),(35970,9),(35971,4),(35972,4),(35973,4),(35974,3),(35975,1),(35976,6),(35977,7),(35978,9),(35979,6),(35980,9),(35981,5),(35982,9),(35983,7),(35984,8),(35985,4),(35986,4),(35987,6),(35988,4),(35989,3),(35990,8),(35991,9),(35992,5),(35993,8),(35994,9),(35995,1),(35996,9),(35997,1),(35998,8),(35999,7),(36000,1),(36001,5),(36002,5),(36003,1),(36004,9),(36005,3),(36006,8),(36007,1),(36008,4),(36009,1),(36010,3),(36011,8),(36012,3),(36013,1),(36014,3),(36015,3),(36016,2),(36017,9),(36018,7),(36019,7),(36020,4),(36021,3),(36022,8),(36023,1),(36024,1),(36025,4),(36026,7),(36027,4),(36028,4),(36029,3),(36030,4),(36031,5),(36032,1),(36033,4),(36034,5),(36035,6),(36036,7),(36037,3),(36038,2),(36039,1),(36040,1),(36041,5),(36042,5),(36043,1),(36044,5),(36045,2),(36046,3),(36047,6),(36048,5),(36049,3),(36050,9),(36051,9),(36052,7),(36053,9),(36054,4),(36055,3),(36056,3),(36057,4),(36058,8),(36059,1),(36060,4),(36061,9),(36062,9),(36063,6),(36064,7),(36065,9),(36066,7),(36067,3),(36068,7),(36069,5),(36070,8),(36071,6),(36072,7),(36073,8),(36074,7),(36075,5),(36076,7),(36077,8),(36078,8),(36079,3),(36080,8),(36081,6),(36082,2),(36083,2),(36084,2),(36085,5),(36086,2),(36087,2),(36088,9),(36089,8),(36090,4),(36091,8),(36092,3),(36093,8),(36094,1),(36095,1),(36096,3),(36097,7),(36098,4),(36099,7),(36100,9),(36101,5),(36102,2),(36103,9),(36104,1),(36105,6),(36106,4),(36107,7),(36108,8),(36109,1),(36110,4),(36111,5),(36112,6),(36113,9),(36114,7),(36115,8),(36116,7),(36117,3),(36118,4),(36119,7),(36120,2),(36121,9),(36122,5),(36123,8),(36124,3),(36125,3),(36126,1),(36127,2),(36128,4),(36129,3),(36130,4),(36131,3),(36132,6),(36133,9),(36134,3),(36135,4),(36136,1),(36137,4),(36138,1),(36139,1),(36140,3),(36141,5),(36142,3),(36143,9),(36144,6),(36145,1),(36146,7),(36147,6),(36148,5),(36149,8),(36150,7),(36151,9),(36152,3),(36153,7),(36154,8),(36155,5),(36156,5),(36157,6),(36158,2),(36159,6),(36160,8),(36161,8),(36162,3),(36163,8),(36164,5),(36165,5),(36166,9),(36167,5),(36168,8),(36169,6),(36170,3),(36171,1),(36172,1),(36173,2),(36174,1),(36175,2),(36176,2),(36177,9),(36178,8),(36179,2),(36180,9),(36181,5),(36182,7),(36183,5),(36184,8),(36185,8),(36186,6),(36187,2),(36188,4),(36189,1),(36190,5),(36191,7),(36192,7),(36193,2),(36194,5),(36195,5),(36196,1),(36197,1),(36198,9),(36199,7),(36200,7),(36201,9),(36202,6),(36203,5),(36204,9),(36205,8),(36206,2),(36207,1),(36208,6),(36209,9),(36210,1),(36211,6),(36212,4),(36213,2),(36214,6),(36215,9),(36216,5),(36217,3),(36218,7),(36219,5),(36220,8),(36221,9),(36222,4),(36223,7),(36224,9),(36225,5),(36226,7),(36227,1),(36228,4),(36229,3),(36230,1),(36231,7),(36232,3),(36233,3),(36234,3),(36235,6),(36236,7),(36237,5),(36238,1),(36239,3),(36240,9),(36241,3),(36242,3),(36243,1),(36244,9),(36245,1),(36246,5),(36247,9),(36248,6),(36249,7),(36250,6),(36251,3),(36252,2),(36253,4),(36254,9),(36255,9),(36256,8),(36257,7),(36258,5),(36259,5),(36260,5),(36261,8),(36262,8),(36263,2),(36264,4),(36265,5),(36266,9),(36267,5),(36268,6),(36269,2),(36270,9),(36271,9),(36272,6),(36273,9),(36274,6),(36275,6),(36276,2),(36277,4),(36278,5),(36279,3),(36280,4),(36281,6),(36282,5),(36283,8),(36284,7),(36285,3),(36286,1),(36287,3),(36288,6),(36289,2),(36290,3),(36291,8),(36292,2),(36293,7),(36294,1),(36295,3),(36296,4),(36297,8),(36298,1),(36299,2),(36300,1),(36301,6),(36302,2),(36303,5),(36304,4),(36305,9),(36306,9),(36307,8),(36308,7),(36309,6),(36310,5),(36311,9),(36312,4),(36313,2),(36314,5),(36315,8),(36316,9),(36317,3),(36318,7),(36319,8),(36320,1),(36321,7),(36322,5),(36323,2),(36324,2),(36325,6),(36326,6),(36327,2),(36328,5),(36329,2),(36330,4),(36331,2),(36332,4),(36333,5),(36334,6),(36335,2),(36336,5),(36337,7),(36338,8),(36339,1),(36340,6),(36341,4),(36342,5),(36343,9),(36344,2),(36345,7),(36346,1),(36347,2),(36348,6),(36349,1),(36350,1),(36351,8),(36352,2),(36353,1),(36354,3),(36355,9),(36356,1),(36357,4),(36358,6),(36359,5),(36360,9),(36361,5),(36362,4),(36363,2),(36364,3),(36365,4),(36366,3),(36367,3),(36368,1),(36369,5),(36370,5),(36371,8),(36372,8),(36373,4),(36374,6),(36375,9),(36376,2),(36377,6),(36378,6),(36379,7),(36380,1),(36381,3),(36382,4),(36383,6),(36384,5),(36385,4),(36386,1),(36387,9),(36388,6),(36389,4),(36390,5),(36391,3),(36392,2),(36393,3),(36394,4),(36395,2),(36396,9),(36397,4),(36398,3),(36399,9),(36400,8),(36401,4),(36402,8),(36403,8),(36404,4),(36405,8),(36406,9),(36407,2),(36408,5),(36409,2),(36410,1),(36411,3),(36412,6),(36413,4),(36414,9),(36415,8),(36416,3),(36417,4),(36418,9),(36419,8),(36420,9),(36421,1),(36422,7),(36423,4),(36424,7),(36425,9),(36426,3),(36427,2),(36428,3),(36429,4),(36430,7),(36431,8),(36432,3),(36433,6),(36434,7),(36435,8),(36436,8),(36437,3),(36438,8),(36439,1),(36440,3),(36441,4),(36442,3),(36443,8),(36444,7),(36445,9),(36446,3),(36447,8),(36448,6),(36449,5),(36450,6),(36451,3),(36452,5),(36453,4),(36454,9),(36455,5),(36456,7),(36457,1),(36458,3),(36459,1),(36460,7),(36461,3),(36462,9),(36463,4),(36464,1),(36465,3),(36466,9),(36467,5),(36468,2),(36469,9),(36470,7),(36471,6),(36472,8),(36473,6),(36474,1),(36475,2),(36476,8),(36477,3),(36478,2),(36479,7),(36480,1),(36481,3),(36482,2),(36483,3),(36484,2),(36485,8),(36486,7),(36487,6),(36488,3),(36489,4),(36490,5),(36491,3),(36492,9),(36493,1),(36494,4),(36495,8),(36496,8),(36497,2),(36498,9),(36499,7),(36500,3),(36501,2),(36502,5),(36503,3),(36504,3),(36505,9),(36506,3),(36507,7),(36508,1),(36509,2),(36510,6),(36511,9),(36512,2),(36513,4),(36514,4),(36515,4),(36516,6),(36517,9),(36518,9),(36519,7),(36520,6),(36521,7),(36522,6),(36523,4),(36524,2),(36525,3),(36526,4),(36527,9),(36528,9),(36529,6),(36530,1),(36531,2),(36532,1),(36533,8),(36534,2),(36535,1),(36536,1),(36537,1),(36538,8),(36539,8),(36540,7),(36541,8),(36542,6),(36543,8),(36544,9),(36545,2),(36546,5),(36547,5),(36548,1),(36549,9),(36550,5),(36551,8),(36552,8),(36553,1),(36554,2),(36555,1),(36556,4),(36557,3),(36558,7),(36559,6),(36560,1),(36561,5),(36562,1),(36563,4),(36564,9),(36565,7),(36566,9),(36567,8),(36568,3),(36569,4),(36570,8),(36571,9),(36572,5),(36573,6),(36574,4),(36575,4),(36576,7),(36577,1),(36578,1),(36579,2),(36580,6),(36581,4),(36582,9),(36583,5),(36584,8),(36585,5),(36586,1),(36587,9),(36588,6),(36589,4),(36590,4),(36591,2),(36592,8),(36593,6),(36594,5),(36595,6),(36596,6),(36597,3),(36598,1),(36599,7),(36600,5),(36601,7),(36602,7),(36603,1),(36604,1),(36605,8),(36606,2),(36607,5),(36608,7),(36609,1),(36610,2),(36611,4),(36612,3),(36613,2),(36614,1),(36615,8),(36616,1),(36617,6),(36618,6),(36619,2),(36620,7),(36621,5),(36622,1),(36623,1),(36624,6),(36625,1),(36626,5),(36627,4),(36628,3),(36629,5),(36630,6),(36631,6),(36632,6),(36633,1),(36634,8),(36635,8),(36636,1),(36637,9),(36638,4),(36639,6),(36640,3),(36641,2),(36642,7),(36643,4),(36644,5),(36645,9),(36646,1),(36647,3),(36648,4),(36649,1),(36650,4),(36651,1),(36652,3),(36653,3),(36654,9),(36655,2),(36656,6),(36657,2),(36658,3),(36659,3),(36660,1),(36661,2),(36662,8),(36663,9),(36664,4),(36665,3),(36666,3),(36667,2),(36668,6),(36669,4),(36670,6),(36671,9),(36672,8),(36673,3),(36674,4),(36675,9),(36676,8),(36677,3),(36678,9),(36679,8),(36680,2),(36681,8),(36682,6),(36683,6),(36684,2),(36685,6),(36686,1),(36687,4),(36688,1),(36689,2),(36690,3),(36691,6),(36692,9),(36693,7),(36694,1),(36695,8),(36696,8),(36697,5),(36698,2),(36699,1),(36700,1),(36701,5),(36702,7),(36703,4),(36704,8),(36705,4),(36706,6),(36707,4),(36708,3),(36709,1),(36710,4),(36711,9),(36712,9),(36713,6),(36714,2),(36715,8),(36716,2),(36717,2),(36718,3),(36719,1),(36720,5),(36721,8),(36722,9),(36723,6),(36724,7),(36725,9),(36726,9),(36727,9),(36728,3),(36729,9),(36730,4),(36731,7),(36732,4),(36733,9),(36734,1),(36735,1),(36736,5),(36737,4),(36738,2),(36739,3),(36740,6),(36741,7),(36742,9),(36743,3),(36744,2),(36745,9),(36746,6),(36747,3),(36748,7),(36749,2),(36750,4),(36751,7),(36752,6),(36753,3),(36754,8),(36755,4),(36756,3),(36757,6),(36758,9),(36759,4),(36760,4),(36761,1),(36762,4),(36763,7),(36764,6),(36765,3),(36766,3),(36767,2),(36768,5),(36769,4),(36770,1),(36771,3),(36772,6),(36773,7),(36774,4),(36775,9),(36776,5),(36777,7),(36778,9),(36779,8),(36780,8),(36781,4),(36782,3),(36783,9),(36784,7),(36785,3),(36786,7),(36787,8),(36788,5),(36789,4),(36790,9),(36791,8),(36792,8),(36793,4),(36794,2),(36795,4),(36796,8),(36797,9),(36798,8),(36799,8),(36800,4),(36801,8),(36802,6),(36803,2),(36804,1),(36805,6),(36806,8),(36807,3),(36808,9),(36809,4),(36810,9),(36811,3),(36812,1),(36813,2),(36814,1),(36815,2),(36816,2),(36817,3),(36818,3),(36819,4),(36820,2),(36821,9),(36822,1),(36823,6),(36824,5),(36825,8),(36826,6),(36827,4),(36828,5),(36829,6),(36830,9),(36831,7),(36832,3),(36833,6),(36834,9),(36835,5),(36836,2),(36837,6),(36838,7),(36839,2),(36840,7),(36841,2),(36842,6),(36843,5),(36844,1),(36845,7),(36846,8),(36847,4),(36848,8),(36849,5),(36850,5),(36851,4),(36852,4),(36853,6),(36854,4),(36855,7),(36856,8),(36857,8),(36858,7),(36859,5),(36860,8),(36861,2),(36862,5),(36863,3),(36864,3),(36865,1),(36866,8),(36867,8),(36868,7),(36869,2),(36870,3),(36871,8),(36872,4),(36873,2),(36874,2),(36875,7),(36876,6),(36877,2),(36878,3),(36879,1),(36880,3),(36881,1),(36882,7),(36883,9),(36884,2),(36885,9),(36886,7),(36887,5),(36888,3),(36889,3),(36890,1),(36891,5),(36892,7),(36893,7),(36894,7),(36895,6),(36896,4),(36897,5),(36898,1),(36899,6),(36900,6),(36901,9),(36902,6),(36903,2),(36904,6),(36905,7),(36906,4),(36907,9),(36908,9),(36909,5),(36910,7),(36911,5),(36912,4),(36913,3),(36914,2),(36915,3),(36916,1),(36917,6),(36918,1),(36919,8),(36920,7),(36921,1),(36922,9),(36923,6),(36924,1),(36925,5),(36926,1),(36927,9),(36928,3),(36929,2),(36930,7),(36931,9),(36932,6),(36933,1),(36934,3),(36935,6),(36936,7),(36937,4),(36938,9),(36939,5),(36940,6),(36941,4),(36942,3),(36943,3),(36944,9),(36945,8),(36946,7),(36947,6),(36948,4),(36949,1),(36950,3),(36951,2),(36952,8),(36953,9),(36954,9),(36955,6),(36956,9),(36957,5),(36958,3),(36959,1),(36960,7),(36961,2),(36962,3),(36963,5),(36964,6),(36965,1),(36966,3),(36967,9),(36968,6),(36969,5),(36970,3),(36971,6),(36972,9),(36973,5),(36974,9),(36975,2),(36976,1),(36977,4),(36978,7),(36979,2),(36980,6),(36981,8),(36982,4),(36983,1),(36984,5),(36985,6),(36986,9),(36987,8),(36988,6),(36989,8),(36990,1),(36991,4),(36992,4),(36993,4),(36994,8),(36995,6),(36996,3),(36997,6),(36998,8),(36999,8),(37000,1),(37001,8),(37002,1),(37003,3),(37004,6),(37005,3),(37006,8),(37007,2),(37008,2),(37009,7),(37010,7),(37011,9),(37012,6),(37013,3),(37014,6),(37015,6),(37016,4),(37017,6),(37018,5),(37019,8),(37020,2),(37021,6),(37022,8),(37023,4),(37024,8),(37025,1),(37026,1),(37027,6),(37028,1),(37029,4),(37030,7),(37031,3),(37032,7),(37033,7),(37034,7),(37035,9),(37036,9),(37037,2),(37038,7),(37039,9),(37040,7),(37041,4),(37042,5),(37043,9),(37044,7),(37045,9),(37046,3),(37047,7),(37048,7),(37049,1),(37050,7),(37051,3),(37052,2),(37053,8),(37054,3),(37055,6),(37056,2),(37057,1),(37058,1),(37059,6),(37060,9),(37061,3),(37062,4),(37063,3),(37064,8),(37065,1),(37066,8),(37067,3),(37068,1),(37069,5),(37070,4),(37071,5),(37072,6),(37073,3),(37074,9),(37075,9),(37076,2),(37077,1),(37078,3),(37079,1),(37080,2),(37081,8),(37082,6),(37083,5),(37084,7),(37085,1),(37086,2),(37087,8),(37088,7),(37089,4),(37090,9),(37091,1),(37092,5),(37093,6),(37094,7),(37095,6),(37096,4),(37097,7),(37098,8),(37099,3),(37100,8),(37101,1),(37102,6),(37103,9),(37104,4),(37105,2),(37106,2),(37107,9),(37108,6),(37109,1),(37110,6),(37111,1),(37112,5),(37113,9),(37114,1),(37115,3),(37116,3),(37117,4),(37118,6),(37119,8),(37120,9),(37121,4),(37122,1),(37123,7),(37124,1),(37125,9),(37126,1),(37127,7),(37128,6),(37129,7),(37130,8),(37131,5),(37132,9),(37133,2),(37134,3),(37135,8),(37136,9),(37137,4),(37138,3),(37139,1),(37140,4),(37141,8),(37142,7),(37143,7),(37144,7),(37145,8),(37146,3),(37147,1),(37148,1),(37149,8),(37150,9),(37151,7),(37152,3),(37153,4),(37154,4),(37155,1),(37156,7),(37157,9),(37158,2),(37159,8),(37160,9),(37161,3),(37162,7),(37163,9),(37164,2),(37165,6),(37166,7),(37167,2),(37168,3),(37169,4),(37170,4),(37171,4),(37172,5),(37173,9),(37174,6),(37175,5),(37176,7),(37177,8),(37178,1),(37179,9),(37180,2),(37181,1),(37182,3),(37183,6),(37184,2),(37185,7),(37186,5),(37187,4),(37188,1),(37189,6),(37190,9),(37191,8),(37192,7),(37193,6),(37194,3),(37195,3),(37196,5),(37197,1),(37198,6),(37199,5),(37200,8),(37201,3),(37202,3),(37203,3),(37204,4),(37205,4),(37206,1),(37207,5),(37208,8),(37209,5),(37210,3),(37211,6),(37212,9),(37213,8),(37214,3),(37215,6),(37216,3),(37217,5),(37218,6),(37219,1),(37220,1),(37221,1),(37222,3),(37223,3),(37224,7),(37225,9),(37226,6),(37227,4),(37228,7),(37229,5),(37230,8),(37231,4),(37232,4),(37233,9),(37234,1),(37235,8),(37236,5),(37237,7),(37238,2),(37239,2),(37240,4),(37241,8),(37242,7),(37243,8),(37244,6),(37245,6),(37246,9),(37247,8),(37248,9),(37249,1),(37250,4),(37251,8),(37252,5),(37253,4),(37254,7),(37255,4),(37256,8),(37257,9),(37258,2),(37259,5),(37260,7),(37261,7),(37262,3),(37263,4),(37264,2),(37265,8),(37266,7),(37267,6),(37268,6),(37269,4),(37270,6),(37271,8),(37272,3),(37273,4),(37274,4),(37275,4),(37276,5),(37277,4),(37278,7),(37279,9),(37280,2),(37281,5),(37282,7),(37283,5),(37284,7),(37285,9),(37286,5),(37287,2),(37288,2),(37289,2),(37290,1),(37291,9),(37292,3),(37293,5),(37294,8),(37295,4),(37296,1),(37297,2),(37298,9),(37299,4),(37300,7),(37301,6),(37302,7),(37303,9),(37304,1),(37305,3),(37306,2),(37307,2),(37308,6),(37309,2),(37310,3),(37311,7),(37312,3),(37313,8),(37314,9),(37315,3),(37316,3),(37317,3),(37318,2),(37319,1),(37320,9),(37321,2),(37322,2),(37323,1),(37324,4),(37325,6),(37326,3),(37327,1),(37328,2),(37329,2),(37330,3),(37331,8),(37332,3),(37333,8),(37334,9),(37335,9),(37336,1),(37337,2),(37338,9),(37339,7),(37340,7),(37341,3),(37342,4),(37343,1),(37344,5),(37345,3),(37346,9),(37347,1),(37348,6),(37349,4),(37350,5),(37351,9),(37352,1),(37353,6),(37354,8),(37355,4),(37356,1),(37357,9),(37358,2),(37359,9),(37360,4),(37361,8),(37362,3),(37363,1),(37364,4),(37365,4),(37366,1),(37367,9),(37368,7),(37369,8),(37370,8),(37371,9),(37372,6),(37373,8),(37374,3),(37375,9),(37376,9),(37377,3),(37378,4),(37379,1),(37380,9),(37381,7),(37382,7),(37383,9),(37384,3),(37385,8),(37386,8),(37387,9),(37388,6),(37389,5),(37390,3),(37391,6),(37392,9),(37393,6),(37394,1),(37395,8),(37396,3),(37397,9),(37398,9),(37399,4),(37400,4),(37401,3),(37402,3),(37403,5),(37404,5),(37405,8),(37406,1),(37407,3),(37408,7),(37409,9),(37410,1),(37411,9),(37412,4),(37413,1),(37414,9),(37415,3),(37416,7),(37417,9),(37418,3),(37419,6),(37420,9),(37421,6),(37422,2),(37423,8),(37424,9),(37425,8),(37426,9),(37427,4),(37428,7),(37429,8),(37430,7),(37431,6),(37432,5),(37433,8),(37434,3),(37435,9),(37436,7),(37437,5),(37438,6),(37439,2),(37440,1),(37441,5),(37442,9),(37443,8),(37444,2),(37445,9),(37446,5),(37447,9),(37448,4),(37449,6),(37450,4),(37451,6),(37452,5),(37453,9),(37454,2),(37455,4),(37456,1),(37457,4),(37458,8),(37459,2),(37460,2),(37461,7),(37462,1),(37463,4),(37464,2),(37465,3),(37466,8),(37467,8),(37468,9),(37469,9),(37470,5),(37471,6),(37472,6),(37473,5),(37474,1),(37475,9),(37476,2),(37477,3),(37478,5),(37479,6),(37480,5),(37481,5),(37482,4),(37483,6),(37484,7),(37485,3),(37486,4),(37487,9),(37488,3),(37489,5),(37490,2),(37491,6),(37492,2),(37493,8),(37494,2),(37495,2),(37496,4),(37497,4),(37498,3),(37499,8),(37500,2),(37501,6),(37502,3),(37503,2),(37504,1),(37505,7),(37506,2),(37507,9),(37508,9),(37509,6),(37510,6),(37511,5),(37512,1),(37513,2),(37514,9),(37515,8),(37516,4),(37517,3),(37518,2),(37519,3),(37520,6),(37521,2),(37522,5),(37523,3),(37524,3),(37525,2),(37526,8),(37527,9),(37528,9),(37529,5),(37530,3),(37531,4),(37532,3),(37533,7),(37534,2),(37535,8),(37536,6),(37537,1),(37538,8),(37539,8),(37540,3),(37541,1),(37542,2),(37543,8),(37544,9),(37545,9),(37546,7),(37547,3),(37548,5),(37549,6),(37550,8),(37551,8),(37552,8),(37553,2),(37554,4),(37555,8),(37556,9),(37557,8),(37558,6),(37559,6),(37560,4),(37561,5),(37562,1),(37563,9),(37564,2),(37565,9),(37566,6),(37567,8),(37568,6),(37569,9),(37570,4),(37571,9),(37572,4),(37573,3),(37574,5),(37575,9),(37576,7),(37577,4),(37578,1),(37579,7),(37580,3),(37581,1),(37582,4),(37583,9),(37584,8),(37585,9),(37586,5),(37587,9),(37588,4),(37589,9),(37590,7),(37591,3),(37592,4),(37593,9),(37594,8),(37595,1),(37596,2),(37597,7),(37598,4),(37599,9),(37600,3),(37601,3),(37602,1),(37603,3),(37604,7),(37605,4),(37606,5),(37607,9),(37608,4),(37609,3),(37610,4),(37611,6),(37612,2),(37613,9),(37614,1),(37615,9),(37616,7),(37617,6),(37618,3),(37619,7),(37620,6),(37621,5),(37622,1),(37623,6),(37624,2),(37625,2),(37626,8),(37627,2),(37628,3),(37629,6),(37630,2),(37631,6),(37632,2),(37633,1),(37634,5),(37635,7),(37636,4),(37637,3),(37638,8),(37639,6),(37640,6),(37641,9),(37642,3),(37643,3),(37644,9),(37645,6),(37646,2),(37647,3),(37648,1),(37649,3),(37650,6),(37651,6),(37652,7),(37653,2),(37654,1),(37655,4),(37656,9),(37657,7),(37658,2),(37659,9),(37660,2),(37661,6),(37662,7),(37663,1),(37664,3),(37665,7),(37666,9),(37667,4),(37668,6),(37669,1),(37670,5),(37671,6),(37672,8),(37673,3),(37674,9),(37675,6),(37676,6),(37677,5),(37678,5),(37679,2),(37680,7),(37681,4),(37682,6),(37683,8),(37684,9),(37685,2),(37686,9),(37687,3),(37688,6),(37689,9),(37690,9),(37691,3),(37692,5),(37693,8),(37694,2),(37695,3),(37696,2),(37697,9),(37698,9),(37699,7),(37700,6),(37701,5),(37702,7),(37703,3),(37704,5),(37705,6),(37706,3),(37707,2),(37708,8),(37709,8),(37710,7),(37711,3),(37712,8),(37713,4),(37714,1),(37715,3),(37716,4),(37717,3),(37718,6),(37719,5),(37720,6),(37721,3),(37722,8),(37723,5),(37724,2),(37725,4),(37726,4),(37727,7),(37728,2),(37729,1),(37730,6),(37731,7),(37732,5),(37733,9),(37734,5),(37735,3),(37736,4),(37737,2),(37738,6),(37739,4),(37740,2),(37741,2),(37742,3),(37743,1),(37744,1),(37745,2),(37746,5),(37747,1),(37748,5),(37749,3),(37750,1),(37751,1),(37752,6),(37753,1),(37754,6),(37755,7),(37756,5),(37757,8),(37758,7),(37759,5),(37760,6),(37761,4),(37762,3),(37763,9),(37764,9),(37765,2),(37766,1),(37767,4),(37768,6),(37769,8),(37770,6),(37771,4),(37772,6),(37773,5),(37774,6),(37775,1),(37776,8),(37777,1),(37778,2),(37779,9),(37780,2),(37781,7),(37782,7),(37783,7),(37784,7),(37785,8),(37786,9),(37787,4),(37788,5),(37789,8),(37790,9),(37791,8),(37792,6),(37793,2),(37794,3),(37795,9),(37796,2),(37797,6),(37798,6),(37799,5),(37800,5),(37801,8),(37802,6),(37803,1),(37804,2),(37805,1),(37806,1),(37807,9),(37808,9),(37809,6),(37810,6),(37811,5),(37812,5),(37813,3),(37814,6),(37815,5),(37816,4),(37817,9),(37818,1),(37819,6),(37820,8),(37821,8),(37822,8),(37823,9),(37824,7),(37825,5),(37826,3),(37827,2),(37828,5),(37829,2),(37830,2),(37831,3),(37832,2),(37833,4),(37834,4),(37835,6),(37836,1),(37837,6),(37838,5),(37839,7),(37840,1),(37841,3),(37842,7),(37843,5),(37844,6),(37845,5),(37846,3),(37847,9),(37848,4),(37849,7),(37850,2),(37851,6),(37852,9),(37853,4),(37854,4),(37855,3),(37856,5),(37857,7),(37858,1),(37859,6),(37860,5),(37861,5),(37862,2),(37863,6),(37864,7),(37865,4),(37866,8),(37867,8),(37868,3),(37869,7),(37870,6),(37871,1),(37872,5),(37873,1),(37874,9),(37875,8),(37876,8),(37877,8),(37878,4),(37879,8),(37880,5),(37881,5),(37882,6),(37883,6),(37884,5),(37885,6),(37886,8),(37887,6),(37888,8),(37889,9),(37890,7),(37891,1),(37892,5),(37893,6),(37894,2),(37895,2),(37896,4),(37897,3),(37898,8),(37899,5),(37900,8),(37901,8),(37902,5),(37903,4),(37904,6),(37905,6),(37906,3),(37907,1),(37908,4),(37909,6),(37910,3),(37911,6),(37912,8),(37913,9),(37914,7),(37915,7),(37916,6),(37917,6),(37918,9),(37919,5),(37920,3),(37921,9),(37922,6),(37923,8),(37924,8),(37925,8),(37926,6),(37927,7),(37928,4),(37929,3),(37930,2),(37931,1),(37932,1),(37933,5),(37934,9),(37935,1),(37936,4),(37937,8),(37938,1),(37939,9),(37940,3),(37941,5),(37942,1),(37943,3),(37944,5),(37945,7),(37946,5),(37947,4),(37948,9),(37949,3),(37950,9),(37951,7),(37952,4),(37953,4),(37954,9),(37955,5),(37956,4),(37957,3),(37958,6),(37959,1),(37960,8),(37961,6),(37962,4),(37963,5),(37964,3),(37965,5),(37966,5),(37967,8),(37968,8),(37969,8),(37970,7),(37971,7),(37972,9),(37973,2),(37974,6),(37975,5),(37976,7),(37977,4),(37978,8),(37979,9),(37980,8),(37981,2),(37982,1),(37983,5),(37984,7),(37985,1),(37986,7),(37987,8),(37988,6),(37989,2),(37990,2),(37991,8),(37992,2),(37993,4),(37994,2),(37995,8),(37996,2),(37997,3),(37998,1),(37999,4),(38000,1),(38001,2),(38002,4),(38003,8),(38004,3),(38005,1),(38006,6),(38007,6),(38008,3),(38009,8),(38010,9),(38011,2),(38012,9),(38013,6),(38014,8),(38015,2),(38016,4),(38017,5),(38018,5),(38019,3),(38020,1),(38021,3),(38022,1),(38023,3),(38024,5),(38025,9),(38026,2),(38027,8),(38028,1),(38029,4),(38030,9),(38031,4),(38032,9),(38033,3),(38034,9),(38035,9),(38036,8),(38037,6),(38038,1),(38039,6),(38040,6),(38041,9),(38042,1),(38043,5),(38044,7),(38045,1),(38046,2),(38047,6),(38048,4),(38049,5),(38050,6),(38051,8),(38052,8),(38053,1),(38054,2),(38055,7),(38056,2),(38057,5),(38058,1),(38059,8),(38060,2),(38061,3),(38062,6),(38063,1),(38064,9),(38065,7),(38066,9),(38067,4),(38068,7),(38069,6),(38070,1),(38071,8),(38072,2),(38073,5),(38074,1),(38075,4),(38076,1),(38077,4),(38078,3),(38079,3),(38080,4),(38081,1),(38082,7),(38083,4),(38084,9),(38085,4),(38086,6),(38087,8),(38088,1),(38089,8),(38090,7),(38091,3),(38092,6),(38093,1),(38094,9),(38095,4),(38096,7),(38097,4),(38098,4),(38099,5),(38100,6),(38101,6),(38102,5),(38103,2),(38104,5),(38105,6),(38106,6),(38107,1),(38108,7),(38109,6),(38110,6),(38111,6),(38112,4),(38113,7),(38114,8),(38115,5),(38116,3),(38117,2),(38118,4),(38119,3),(38120,7),(38121,6),(38122,8),(38123,6),(38124,8),(38125,2),(38126,9),(38127,9),(38128,8),(38129,6),(38130,7),(38131,1),(38132,1),(38133,9),(38134,4),(38135,3),(38136,9),(38137,9),(38138,4),(38139,5),(38140,6),(38141,1),(38142,6),(38143,7),(38144,2),(38145,1),(38146,7),(38147,8),(38148,7),(38149,2),(38150,1),(38151,4),(38152,4),(38153,7),(38154,3),(38155,2),(38156,4),(38157,9),(38158,2),(38159,6),(38160,8),(38161,8),(38162,3),(38163,9),(38164,4),(38165,5),(38166,4),(38167,2),(38168,7),(38169,7),(38170,7),(38171,3),(38172,5),(38173,3),(38174,7),(38175,7),(38176,6),(38177,6),(38178,5),(38179,5),(38180,5),(38181,8),(38182,8),(38183,8),(38184,9),(38185,5),(38186,1),(38187,5),(38188,8),(38189,4),(38190,5),(38191,6),(38192,1),(38193,7),(38194,9),(38195,5),(38196,5),(38197,7),(38198,1),(38199,9),(38200,4),(38201,7),(38202,3),(38203,4),(38204,6),(38205,6),(38206,3),(38207,8),(38208,4),(38209,4),(38210,4),(38211,6),(38212,2),(38213,4),(38214,1),(38215,9),(38216,9),(38217,6),(38218,8),(38219,1),(38220,9),(38221,4),(38222,7),(38223,6),(38224,9),(38225,8),(38226,7),(38227,3),(38228,4),(38229,5),(38230,2),(38231,2),(38232,3),(38233,5),(38234,4),(38235,3),(38236,9),(38237,4),(38238,7),(38239,2),(38240,8),(38241,1),(38242,1),(38243,4),(38244,4),(38245,1),(38246,8),(38247,1),(38248,3),(38249,6),(38250,6),(38251,5),(38252,8),(38253,9),(38254,8),(38255,3),(38256,9),(38257,6),(38258,2),(38259,3),(38260,2),(38261,6),(38262,8),(38263,8),(38264,2),(38265,2),(38266,6),(38267,7),(38268,4),(38269,9),(38270,3),(38271,5),(38272,2),(38273,3),(38274,2),(38275,1),(38276,3),(38277,5),(38278,7),(38279,7),(38280,1),(38281,1),(38282,8),(38283,6),(38284,3),(38285,7),(38286,2),(38287,3),(38288,4),(38289,7),(38290,7),(38291,8),(38292,9),(38293,3),(38294,1),(38295,3),(38296,8),(38297,2),(38298,1),(38299,2),(38300,9),(38301,9),(38302,6),(38303,7),(38304,7),(38305,8),(38306,2),(38307,7),(38308,3),(38309,9),(38310,9),(38311,8),(38312,7),(38313,5),(38314,3),(38315,6),(38316,2),(38317,5),(38318,9),(38319,9),(38320,1),(38321,7),(38322,2),(38323,5),(38324,6),(38325,1),(38326,2),(38327,4),(38328,9),(38329,8),(38330,6),(38331,6),(38332,4),(38333,7),(38334,6),(38335,1),(38336,3),(38337,8),(38338,6),(38339,3),(38340,1),(38341,5),(38342,7),(38343,6),(38344,2),(38345,9),(38346,6),(38347,7),(38348,1),(38349,3),(38350,5),(38351,9),(38352,2),(38353,5),(38354,6),(38355,2),(38356,1),(38357,9),(38358,6),(38359,1),(38360,7),(38361,1),(38362,8),(38363,6),(38364,3),(38365,1),(38366,9),(38367,4),(38368,8),(38369,6),(38370,9),(38371,5),(38372,8),(38373,6),(38374,4),(38375,6),(38376,3),(38377,6),(38378,3),(38379,8),(38380,6),(38381,4),(38382,3),(38383,2),(38384,2),(38385,6),(38386,5),(38387,6),(38388,2),(38389,2),(38390,8),(38391,9),(38392,4),(38393,5),(38394,8),(38395,5),(38396,6),(38397,2),(38398,9),(38399,1),(38400,9),(38401,8),(38402,5),(38403,7),(38404,5),(38405,8),(38406,9),(38407,4),(38408,3),(38409,3),(38410,6),(38411,4),(38412,1),(38413,1),(38414,6),(38415,4),(38416,3),(38417,2),(38418,9),(38419,4),(38420,5),(38421,9),(38422,4),(38423,9),(38424,1),(38425,1),(38426,6),(38427,7),(38428,6),(38429,6),(38430,4),(38431,1),(38432,5),(38433,1),(38434,1),(38435,1),(38436,1),(38437,7),(38438,3),(38439,5),(38440,6),(38441,9),(38442,6),(38443,2),(38444,8),(38445,2),(38446,4),(38447,6),(38448,2),(38449,3),(38450,6),(38451,8),(38452,8),(38453,3),(38454,3),(38455,3),(38456,9),(38457,5),(38458,5),(38459,8),(38460,2),(38461,6),(38462,5),(38463,3),(38464,8),(38465,5),(38466,6),(38467,8),(38468,2),(38469,4),(38470,3),(38471,9),(38472,6),(38473,9),(38474,8),(38475,1),(38476,6),(38477,2),(38478,1),(38479,7),(38480,8),(38481,5),(38482,8),(38483,8),(38484,5),(38485,6),(38486,9),(38487,8),(38488,9),(38489,8),(38490,9),(38491,7),(38492,7),(38493,4),(38494,4),(38495,8),(38496,5),(38497,8),(38498,9),(38499,4),(38500,9),(38501,7),(38502,4),(38503,1),(38504,7),(38505,7),(38506,5),(38507,3),(38508,2),(38509,2),(38510,4),(38511,9),(38512,9),(38513,1),(38514,5),(38515,6),(38516,2),(38517,5),(38518,3),(38519,4),(38520,5),(38521,4),(38522,9),(38523,2),(38524,3),(38525,5),(38526,7),(38527,5),(38528,8),(38529,9),(38530,1),(38531,9),(38532,7),(38533,8),(38534,7),(38535,8),(38536,2),(38537,7),(38538,9),(38539,8),(38540,9),(38541,2),(38542,8),(38543,1),(38544,9),(38545,3),(38546,3),(38547,8),(38548,4),(38549,6),(38550,7),(38551,8),(38552,3),(38553,9),(38554,5),(38555,6),(38556,7),(38557,5),(38558,7),(38559,1),(38560,4),(38561,9),(38562,1),(38563,8),(38564,3),(38565,6),(38566,3),(38567,1),(38568,3),(38569,6),(38570,7),(38571,3),(38572,1),(38573,5),(38574,8),(38575,6),(38576,1),(38577,8),(38578,2),(38579,9),(38580,6),(38581,8),(38582,9),(38583,3),(38584,2),(38585,3),(38586,1),(38587,2),(38588,7),(38589,4),(38590,2),(38591,1),(38592,9),(38593,6),(38594,5),(38595,4),(38596,6),(38597,8),(38598,9),(38599,8),(38600,2),(38601,6),(38602,8),(38603,7),(38604,5),(38605,9),(38606,1),(38607,4),(38608,1),(38609,6),(38610,6),(38611,5),(38612,7),(38613,8),(38614,3),(38615,6),(38616,6),(38617,9),(38618,1),(38619,3),(38620,1),(38621,8),(38622,2),(38623,5),(38624,6),(38625,1),(38626,7),(38627,5),(38628,3),(38629,4),(38630,9),(38631,1),(38632,5),(38633,6),(38634,6),(38635,5),(38636,8),(38637,4),(38638,8),(38639,1),(38640,1),(38641,8),(38642,3),(38643,6),(38644,3),(38645,6),(38646,2),(38647,6),(38648,3),(38649,9),(38650,9),(38651,4),(38652,9),(38653,6),(38654,3),(38655,2),(38656,7),(38657,5),(38658,8),(38659,7),(38660,1),(38661,5),(38662,1),(38663,7),(38664,9),(38665,6),(38666,4),(38667,1),(38668,7),(38669,4),(38670,5),(38671,1),(38672,6),(38673,2),(38674,8),(38675,8),(38676,4),(38677,9),(38678,6),(38679,2),(38680,2),(38681,4),(38682,1),(38683,6),(38684,3),(38685,1),(38686,1),(38687,2),(38688,2),(38689,7),(38690,9),(38691,4),(38692,9),(38693,7),(38694,7),(38695,1),(38696,3),(38697,8),(38698,8),(38699,4),(38700,2),(38701,9),(38702,6),(38703,6),(38704,5),(38705,5),(38706,4),(38707,2),(38708,3),(38709,2),(38710,7),(38711,6),(38712,5),(38713,9),(38714,2),(38715,4),(38716,2),(38717,4),(38718,3),(38719,3),(38720,1),(38721,9),(38722,8),(38723,2),(38724,3),(38725,3),(38726,7),(38727,4),(38728,2),(38729,7),(38730,5),(38731,9),(38732,4),(38733,7),(38734,7),(38735,6),(38736,2),(38737,8),(38738,7),(38739,5),(38740,9),(38741,6),(38742,4),(38743,8),(38744,7),(38745,9),(38746,2),(38747,4),(38748,3),(38749,6),(38750,8),(38751,3),(38752,1),(38753,3),(38754,7),(38755,9),(38756,1),(38757,2),(38758,9),(38759,2),(38760,2),(38761,2),(38762,3),(38763,8),(38764,3),(38765,1),(38766,3),(38767,4),(38768,7),(38769,8),(38770,9),(38771,6),(38772,8),(38773,6),(38774,5),(38775,9),(38776,8),(38777,8),(38778,5),(38779,5),(38780,8),(38781,2),(38782,2),(38783,9),(38784,9),(38785,3),(38786,7),(38787,4),(38788,2),(38789,7),(38790,6),(38791,4),(38792,8),(38793,7),(38794,4),(38795,8),(38796,6),(38797,3),(38798,5),(38799,7),(38800,5),(38801,4),(38802,8),(38803,1),(38804,6),(38805,3),(38806,2),(38807,5),(38808,3),(38809,5),(38810,9),(38811,8),(38812,4),(38813,2),(38814,9),(38815,8),(38816,9),(38817,7),(38818,4),(38819,9),(38820,7),(38821,9),(38822,6),(38823,6),(38824,7),(38825,6),(38826,4),(38827,1),(38828,3),(38829,4),(38830,7),(38831,5),(38832,1),(38833,8),(38834,5),(38835,4),(38836,3),(38837,2),(38838,8),(38839,2),(38840,3),(38841,2),(38842,1),(38843,5),(38844,9),(38845,1),(38846,5),(38847,1),(38848,8),(38849,5),(38850,9),(38851,8),(38852,1),(38853,8),(38854,7),(38855,5),(38856,9),(38857,5),(38858,4),(38859,2),(38860,4),(38861,5),(38862,9),(38863,4),(38864,2),(38865,4),(38866,6),(38867,3),(38868,4),(38869,4),(38870,8),(38871,6),(38872,2),(38873,2),(38874,2),(38875,7),(38876,4),(38877,3),(38878,3),(38879,6),(38880,6),(38881,5),(38882,8),(38883,6),(38884,2),(38885,4),(38886,2),(38887,4),(38888,9),(38889,5),(38890,2),(38891,6),(38892,6),(38893,3),(38894,2),(38895,7),(38896,7),(38897,2),(38898,3),(38899,7),(38900,1),(38901,1),(38902,1),(38903,2),(38904,9),(38905,4),(38906,6),(38907,9),(38908,6),(38909,6),(38910,2),(38911,1),(38912,1),(38913,7),(38914,2),(38915,8),(38916,5),(38917,8),(38918,7),(38919,5),(38920,3),(38921,1),(38922,5),(38923,9),(38924,1),(38925,2),(38926,9),(38927,8),(38928,8),(38929,5),(38930,4),(38931,3),(38932,2),(38933,2),(38934,6),(38935,8),(38936,6),(38937,4),(38938,2),(38939,6),(38940,4),(38941,6),(38942,3),(38943,2),(38944,7),(38945,8),(38946,4),(38947,4),(38948,8),(38949,1),(38950,1),(38951,9),(38952,8),(38953,3),(38954,7),(38955,6),(38956,2),(38957,3),(38958,6),(38959,7),(38960,9),(38961,4),(38962,9),(38963,3),(38964,4),(38965,5),(38966,1),(38967,6),(38968,8),(38969,2),(38970,9),(38971,8),(38972,3),(38973,8),(38974,7),(38975,4),(38976,4),(38977,3),(38978,3),(38979,2),(38980,9),(38981,3),(38982,9),(38983,2),(38984,5),(38985,1),(38986,6),(38987,8),(38988,4),(38989,9),(38990,4),(38991,6),(38992,5),(38993,1),(38994,1),(38995,4),(38996,1),(38997,7),(38998,9),(38999,8),(39000,9),(39001,7),(39002,2),(39003,8),(39004,3),(39005,5),(39006,1),(39007,6),(39008,9),(39009,5),(39010,3),(39011,3),(39012,8),(39013,6),(39014,9),(39015,5),(39016,8),(39017,4),(39018,9),(39019,3),(39020,7),(39021,5),(39022,1),(39023,2),(39024,9),(39025,2),(39026,9),(39027,9),(39028,2),(39029,5),(39030,6),(39031,8),(39032,1),(39033,6),(39034,6),(39035,9),(39036,8),(39037,8),(39038,3),(39039,7),(39040,3),(39041,9),(39042,3),(39043,3),(39044,5),(39045,4),(39046,9),(39047,8),(39048,2),(39049,9),(39050,4),(39051,7),(39052,2),(39053,3),(39054,9),(39055,3),(39056,9),(39057,7),(39058,8),(39059,4),(39060,1),(39061,9),(39062,2),(39063,7),(39064,2),(39065,6),(39066,8),(39067,3),(39068,7),(39069,5),(39070,5),(39071,9),(39072,7),(39073,2),(39074,6),(39075,4),(39076,9),(39077,9),(39078,8),(39079,4),(39080,1),(39081,9),(39082,1),(39083,4),(39084,4),(39085,5),(39086,8),(39087,1),(39088,1),(39089,6),(39090,2),(39091,8),(39092,5),(39093,8),(39094,6),(39095,3),(39096,4),(39097,2),(39098,3),(39099,1),(39100,7),(39101,3),(39102,4),(39103,2),(39104,4),(39105,7),(39106,9),(39107,9),(39108,2),(39109,7),(39110,9),(39111,2),(39112,9),(39113,2),(39114,3),(39115,8),(39116,9),(39117,7),(39118,3),(39119,4),(39120,8),(39121,8),(39122,7),(39123,6),(39124,2),(39125,3),(39126,7),(39127,7),(39128,2),(39129,4),(39130,3),(39131,2),(39132,7),(39133,6),(39134,2),(39135,2),(39136,2),(39137,8),(39138,2),(39139,4),(39140,3),(39141,8),(39142,4),(39143,1),(39144,7),(39145,4),(39146,7),(39147,7),(39148,3),(39149,5),(39150,7),(39151,9),(39152,9),(39153,3),(39154,9),(39155,2),(39156,5),(39157,7),(39158,8),(39159,7),(39160,6),(39161,3),(39162,4),(39163,8),(39164,8),(39165,5),(39166,5),(39167,4),(39168,6),(39169,3),(39170,9),(39171,4),(39172,6),(39173,6),(39174,4),(39175,8),(39176,8),(39177,5),(39178,8),(39179,2),(39180,6),(39181,3),(39182,4),(39183,9),(39184,4),(39185,2),(39186,8),(39187,1),(39188,2),(39189,3),(39190,8),(39191,1),(39192,3),(39193,8),(39194,8),(39195,8),(39196,8),(39197,7),(39198,4),(39199,6),(39200,3),(39201,4),(39202,5),(39203,9),(39204,5),(39205,4),(39206,5),(39207,4),(39208,3),(39209,9),(39210,5),(39211,9),(39212,7),(39213,1),(39214,2),(39215,9),(39216,2),(39217,3),(39218,3),(39219,8),(39220,5),(39221,3),(39222,9),(39223,6),(39224,6),(39225,1),(39226,4),(39227,7),(39228,8),(39229,1),(39230,5),(39231,1),(39232,4),(39233,5),(39234,5),(39235,9),(39236,3),(39237,2),(39238,2),(39239,3),(39240,3),(39241,5),(39242,5),(39243,2),(39244,3),(39245,2),(39246,4),(39247,5),(39248,3),(39249,7),(39250,8),(39251,2),(39252,1),(39253,4),(39254,3),(39255,4),(39256,7),(39257,9),(39258,8),(39259,8),(39260,6),(39261,7),(39262,6),(39263,9),(39264,4),(39265,9),(39266,1),(39267,4),(39268,7),(39269,7),(39270,5),(39271,7),(39272,7),(39273,8),(39274,2),(39275,5),(39276,6),(39277,1),(39278,3),(39279,4),(39280,3),(39281,1),(39282,8),(39283,7),(39284,6),(39285,3),(39286,1),(39287,2),(39288,1),(39289,5),(39290,5),(39291,2),(39292,2),(39293,6),(39294,3),(39295,6),(39296,8),(39297,7),(39298,5),(39299,2),(39300,3),(39301,2),(39302,8),(39303,7),(39304,5),(39305,9),(39306,9),(39307,8),(39308,8),(39309,7),(39310,8),(39311,4),(39312,9),(39313,7),(39314,3),(39315,2),(39316,9),(39317,9),(39318,2),(39319,7),(39320,4),(39321,4),(39322,3),(39323,5),(39324,3),(39325,9),(39326,4),(39327,9),(39328,1),(39329,1),(39330,3),(39331,1),(39332,6),(39333,5),(39334,5),(39335,1),(39336,1),(39337,8),(39338,6),(39339,9),(39340,9),(39341,4),(39342,5),(39343,9),(39344,5),(39345,1),(39346,3),(39347,2),(39348,4),(39349,8),(39350,3),(39351,2),(39352,4),(39353,9),(39354,8),(39355,8),(39356,9),(39357,2),(39358,2),(39359,4),(39360,2),(39361,7),(39362,5),(39363,2),(39364,9),(39365,4),(39366,1),(39367,4),(39368,3),(39369,6),(39370,1),(39371,2),(39372,2),(39373,9),(39374,1),(39375,5),(39376,2),(39377,9),(39378,7),(39379,5),(39380,8),(39381,9),(39382,9),(39383,4),(39384,1),(39385,3),(39386,7),(39387,7),(39388,4),(39389,5),(39390,2),(39391,4),(39392,2),(39393,6),(39394,7),(39395,9),(39396,7),(39397,1),(39398,9),(39399,2),(39400,4),(39401,2),(39402,9),(39403,1),(39404,4),(39405,4),(39406,3),(39407,4),(39408,2),(39409,3),(39410,7),(39411,9),(39412,2),(39413,6),(39414,6),(39415,2),(39416,3),(39417,5),(39418,4),(39419,8),(39420,4),(39421,6),(39422,4),(39423,2),(39424,2),(39425,3),(39426,7),(39427,8),(39428,8),(39429,6),(39430,4),(39431,8),(39432,2),(39433,9),(39434,5),(39435,3),(39436,6),(39437,1),(39438,3),(39439,1),(39440,9),(39441,5),(39442,2),(39443,1),(39444,6),(39445,2),(39446,5),(39447,1),(39448,9),(39449,4),(39450,3),(39451,7),(39452,3),(39453,7),(39454,9),(39455,8),(39456,4),(39457,4),(39458,2),(39459,8),(39460,6),(39461,9),(39462,7),(39463,9),(39464,7),(39465,9),(39466,7),(39467,9),(39468,5),(39469,8),(39470,6),(39471,1),(39472,4),(39473,7),(39474,8),(39475,2),(39476,6),(39477,4),(39478,8),(39479,5),(39480,8),(39481,1),(39482,6),(39483,5),(39484,3),(39485,8),(39486,1),(39487,5),(39488,1),(39489,6),(39490,3),(39491,5),(39492,9),(39493,1),(39494,9),(39495,3),(39496,5),(39497,1),(39498,6),(39499,2),(39500,2),(39501,7),(39502,5),(39503,4),(39504,4),(39505,4),(39506,9),(39507,3),(39508,6),(39509,7),(39510,2),(39511,9),(39512,6),(39513,5),(39514,6),(39515,6),(39516,6),(39517,4),(39518,8),(39519,4),(39520,8),(39521,5),(39522,8),(39523,4),(39524,6),(39525,6),(39526,5),(39527,2),(39528,7),(39529,6),(39530,4),(39531,7),(39532,9),(39533,3),(39534,7),(39535,4),(39536,5),(39537,4),(39538,1),(39539,1),(39540,5),(39541,3),(39542,4),(39543,7),(39544,2),(39545,9),(39546,2),(39547,4),(39548,1),(39549,9),(39550,8),(39551,2),(39552,2),(39553,5),(39554,5),(39555,8),(39556,5),(39557,7),(39558,4),(39559,5),(39560,5),(39561,1),(39562,5),(39563,9),(39564,8),(39565,9),(39566,9),(39567,6),(39568,5),(39569,1),(39570,5),(39571,7),(39572,5),(39573,3),(39574,8),(39575,2),(39576,7),(39577,1),(39578,3),(39579,4),(39580,5),(39581,2),(39582,3),(39583,7),(39584,9),(39585,5),(39586,2),(39587,5),(39588,6),(39589,6),(39590,1),(39591,3),(39592,6),(39593,6),(39594,9),(39595,6),(39596,2),(39597,7),(39598,5),(39599,6),(39600,3),(39601,2),(39602,6),(39603,5),(39604,9),(39605,2),(39606,3),(39607,4),(39608,8),(39609,6),(39610,9),(39611,4),(39612,4),(39613,6),(39614,2),(39615,2),(39616,2),(39617,4),(39618,5),(39619,8),(39620,2),(39621,2),(39622,2),(39623,2),(39624,1),(39625,9),(39626,1),(39627,1),(39628,3),(39629,1),(39630,2),(39631,6),(39632,1),(39633,6),(39634,4),(39635,4),(39636,6),(39637,6),(39638,4),(39639,1),(39640,5),(39641,8),(39642,3),(39643,6),(39644,6),(39645,6),(39646,1),(39647,2),(39648,7),(39649,1),(39650,5),(39651,2),(39652,8),(39653,4),(39654,5),(39655,2),(39656,2),(39657,9),(39658,7),(39659,3),(39660,3),(39661,2),(39662,5),(39663,6),(39664,5),(39665,6),(39666,4),(39667,4),(39668,7),(39669,6),(39670,1),(39671,6),(39672,4),(39673,3),(39674,8),(39675,3),(39676,4),(39677,1),(39678,9),(39679,4),(39680,4),(39681,4),(39682,4),(39683,3),(39684,9),(39685,3),(39686,2),(39687,3),(39688,7),(39689,6),(39690,4),(39691,1),(39692,9),(39693,7),(39694,2),(39695,7),(39696,6),(39697,4),(39698,9),(39699,3),(39700,5),(39701,7),(39702,7),(39703,2),(39704,1),(39705,1),(39706,8),(39707,7),(39708,3),(39709,5),(39710,1),(39711,5),(39712,3),(39713,2),(39714,3),(39715,1),(39716,3),(39717,1),(39718,8),(39719,5),(39720,4),(39721,8),(39722,5),(39723,2),(39724,9),(39725,7),(39726,9),(39727,4),(39728,8),(39729,4),(39730,9),(39731,3),(39732,3),(39733,7),(39734,4),(39735,1),(39736,4),(39737,4),(39738,4),(39739,1),(39740,1),(39741,6),(39742,4),(39743,8),(39744,1),(39745,6),(39746,4),(39747,2),(39748,5),(39749,2),(39750,5),(39751,4),(39752,3),(39753,2),(39754,3),(39755,9),(39756,7),(39757,9),(39758,3),(39759,5),(39760,9),(39761,3),(39762,6),(39763,7),(39764,7),(39765,3),(39766,8),(39767,9),(39768,9),(39769,8),(39770,9),(39771,7),(39772,6),(39773,7),(39774,2),(39775,7),(39776,9),(39777,6),(39778,8),(39779,5),(39780,7),(39781,7),(39782,8),(39783,6),(39784,6),(39785,2),(39786,6),(39787,2),(39788,8),(39789,4),(39790,4),(39791,6),(39792,4),(39793,4),(39794,2),(39795,3),(39796,1),(39797,9),(39798,6),(39799,3),(39800,7),(39801,6),(39802,1),(39803,8),(39804,4),(39805,5),(39806,9),(39807,5),(39808,6),(39809,8),(39810,7),(39811,2),(39812,7),(39813,3),(39814,2),(39815,1),(39816,5),(39817,5),(39818,3),(39819,9),(39820,9),(39821,9),(39822,2),(39823,3),(39824,5),(39825,9),(39826,6),(39827,9),(39828,6),(39829,4),(39830,5),(39831,2),(39832,9),(39833,3),(39834,7),(39835,8),(39836,9),(39837,9),(39838,3),(39839,9),(39840,2),(39841,4),(39842,3),(39843,5),(39844,5),(39845,3),(39846,7),(39847,9),(39848,8),(39849,7),(39850,9),(39851,5),(39852,8),(39853,4),(39854,8),(39855,3),(39856,8),(39857,9),(39858,9),(39859,5),(39860,7),(39861,1),(39862,5),(39863,1),(39864,6),(39865,6),(39866,5),(39867,9),(39868,8),(39869,6),(39870,8),(39871,8),(39872,7),(39873,6),(39874,2),(39875,9),(39876,4),(39877,7),(39878,3),(39879,4),(39880,8),(39881,1),(39882,4),(39883,2),(39884,7),(39885,8),(39886,5),(39887,6),(39888,3),(39889,4),(39890,4),(39891,7),(39892,8),(39893,2),(39894,5),(39895,6),(39896,8),(39897,5),(39898,6),(39899,3),(39900,7),(39901,3),(39902,9),(39903,9),(39904,9),(39905,6),(39906,7),(39907,3),(39908,2),(39909,8),(39910,3),(39911,5),(39912,9),(39913,5),(39914,5),(39915,9),(39916,2),(39917,8),(39918,3),(39919,1),(39920,6),(39921,6),(39922,2),(39923,3),(39924,9),(39925,2),(39926,1),(39927,7),(39928,7),(39929,3),(39930,4),(39931,4),(39932,4),(39933,6),(39934,9),(39935,6),(39936,5),(39937,3),(39938,8),(39939,3),(39940,6),(39941,9),(39942,5),(39943,4),(39944,1),(39945,8),(39946,9),(39947,7),(39948,6),(39949,5),(39950,1),(39951,6),(39952,2),(39953,4),(39954,5),(39955,1),(39956,5),(39957,3),(39958,2),(39959,7),(39960,9),(39961,3),(39962,8),(39963,9),(39964,7),(39965,9),(39966,6),(39967,1),(39968,3),(39969,1),(39970,5),(39971,9),(39972,8),(39973,8),(39974,2),(39975,2),(39976,9),(39977,2),(39978,8),(39979,4),(39980,6),(39981,4),(39982,1),(39983,4),(39984,3),(39985,7),(39986,2),(39987,4),(39988,3),(39989,3),(39990,5),(39991,8),(39992,3),(39993,3),(39994,8),(39995,3),(39996,5),(39997,4),(39998,1),(39999,3),(40000,5),(40001,6),(40002,4),(40003,3),(40004,7),(40005,5),(40006,1),(40007,2),(40008,7),(40009,1),(40010,2),(40011,2),(40012,5),(40013,5),(40014,9),(40015,1),(40016,2),(40017,1),(40018,4),(40019,6),(40020,3),(40021,1),(40022,1),(40023,1),(40024,6),(40025,6),(40026,7),(40027,4),(40028,7),(40029,5),(40030,4),(40031,6),(40032,2),(40033,6),(40034,2),(40035,8),(40036,7),(40037,1),(40038,3),(40039,6),(40040,3),(40041,2),(40042,2),(40043,3),(40044,3),(40045,9),(40046,6),(40047,1),(40048,8),(40049,4),(40050,2),(40051,8),(40052,6),(40053,8),(40054,7),(40055,6),(40056,2),(40057,5),(40058,4),(40059,2),(40060,8),(40061,3),(40062,4),(40063,8),(40064,2),(40065,8),(40066,9),(40067,1),(40068,4),(40069,1),(40070,9),(40071,4),(40072,9),(40073,7),(40074,3),(40075,1),(40076,6),(40077,9),(40078,8),(40079,8),(40080,7),(40081,1),(40082,8),(40083,9),(40084,2),(40085,1),(40086,9),(40087,9),(40088,9),(40089,7),(40090,4),(40091,2),(40092,1),(40093,4),(40094,6),(40095,4),(40096,8),(40097,4),(40098,5),(40099,5),(40100,7),(40101,5),(40102,9),(40103,1),(40104,2),(40105,9),(40106,1),(40107,1),(40108,7),(40109,2),(40110,7),(40111,2),(40112,9),(40113,4),(40114,5),(40115,4),(40116,6),(40117,4),(40118,8),(40119,9),(40120,1),(40121,8),(40122,9),(40123,2),(40124,7),(40125,5),(40126,2),(40127,4),(40128,6),(40129,7),(40130,3),(40131,3),(40132,8),(40133,1),(40134,6),(40135,9),(40136,8),(40137,7),(40138,6),(40139,6),(40140,5),(40141,4),(40142,5),(40143,2),(40144,3),(40145,4),(40146,9),(40147,2),(40148,5),(40149,2),(40150,6),(40151,2),(40152,8),(40153,4),(40154,8),(40155,1),(40156,9),(40157,3),(40158,2),(40159,9),(40160,3),(40161,7),(40162,5),(40163,2),(40164,4),(40165,4),(40166,9),(40167,6),(40168,7),(40169,7),(40170,5),(40171,9),(40172,3),(40173,8),(40174,9),(40175,6),(40176,3),(40177,5),(40178,1),(40179,8),(40180,9),(40181,3),(40182,5),(40183,7),(40184,8),(40185,4),(40186,3),(40187,3),(40188,7),(40189,2),(40190,1),(40191,4),(40192,3),(40193,5),(40194,1),(40195,7),(40196,5),(40197,3),(40198,2),(40199,8),(40200,9),(40201,5),(40202,3),(40203,5),(40204,3),(40205,4),(40206,6),(40207,6),(40208,8),(40209,1),(40210,2),(40211,1),(40212,2),(40213,6),(40214,8),(40215,2),(40216,4),(40217,5),(40218,5),(40219,1),(40220,8),(40221,2),(40222,7),(40223,5),(40224,4),(40225,4),(40226,1),(40227,6),(40228,6),(40229,3),(40230,9),(40231,7),(40232,3),(40233,7),(40234,9),(40235,9),(40236,8),(40237,5),(40238,7),(40239,4),(40240,7),(40241,5),(40242,2),(40243,9),(40244,3),(40245,1),(40246,7),(40247,7),(40248,7),(40249,8),(40250,2),(40251,2),(40252,7),(40253,8),(40254,8),(40255,6),(40256,7),(40257,2),(40258,8),(40259,7),(40260,8),(40261,8),(40262,7),(40263,7),(40264,7),(40265,7),(40266,9),(40267,8),(40268,4),(40269,6),(40270,9),(40271,9),(40272,8),(40273,1),(40274,7),(40275,8),(40276,2),(40277,6),(40278,2),(40279,1),(40280,9),(40281,5),(40282,8),(40283,8),(40284,4),(40285,2),(40286,9),(40287,7),(40288,2),(40289,8),(40290,1),(40291,8),(40292,5),(40293,9),(40294,1),(40295,2),(40296,7),(40297,7),(40298,1),(40299,9),(40300,5),(40301,9),(40302,8),(40303,8),(40304,8),(40305,2),(40306,3),(40307,3),(40308,8),(40309,6),(40310,3),(40311,6),(40312,1),(40313,9),(40314,7),(40315,7),(40316,1),(40317,8),(40318,2),(40319,2),(40320,4),(40321,1),(40322,4),(40323,1),(40324,7),(40325,8),(40326,1),(40327,3),(40328,7),(40329,6),(40330,3),(40331,2),(40332,9),(40333,8),(40334,9),(40335,7),(40336,1),(40337,9),(40338,7),(40339,1),(40340,3),(40341,5),(40342,2),(40343,9),(40344,8),(40345,9),(40346,3),(40347,7),(40348,9),(40349,1),(40350,1),(40351,8),(40352,8),(40353,5),(40354,1),(40355,3),(40356,5),(40357,2),(40358,5),(40359,4),(40360,9),(40361,7),(40362,7),(40363,4),(40364,3),(40365,4),(40366,1),(40367,8),(40368,2),(40369,3),(40370,9),(40371,8),(40372,8),(40373,5),(40374,2),(40375,3),(40376,6),(40377,8),(40378,3),(40379,1),(40380,8),(40381,4),(40382,5),(40383,8),(40384,7),(40385,3),(40386,9),(40387,1),(40388,2),(40389,4),(40390,3),(40391,7),(40392,1),(40393,7),(40394,7),(40395,7),(40396,6),(40397,4),(40398,8),(40399,4),(40400,6),(40401,5),(40402,1),(40403,2),(40404,8),(40405,3),(40406,8),(40407,2),(40408,2),(40409,3),(40410,3),(40411,2),(40412,5),(40413,9),(40414,4),(40415,8),(40416,2),(40417,5),(40418,9),(40419,1),(40420,3),(40421,4),(40422,2),(40423,5),(40424,9),(40425,3),(40426,4),(40427,2),(40428,7),(40429,9),(40430,9),(40431,7),(40432,2),(40433,2),(40434,6),(40435,1),(40436,4),(40437,4),(40438,7),(40439,6),(40440,7),(40441,2),(40442,6),(40443,3),(40444,3),(40445,9),(40446,3),(40447,4),(40448,1),(40449,9),(40450,7),(40451,1),(40452,7),(40453,4),(40454,5),(40455,8),(40456,1),(40457,5),(40458,6),(40459,2),(40460,2),(40461,7),(40462,2),(40463,1),(40464,8),(40465,6),(40466,9),(40467,5),(40468,2),(40469,5),(40470,7),(40471,3),(40472,9),(40473,3),(40474,9),(40475,3),(40476,3),(40477,7),(40478,9),(40479,9),(40480,7),(40481,4),(40482,7),(40483,5),(40484,7),(40485,2),(40486,9),(40487,9),(40488,5),(40489,6),(40490,9),(40491,8),(40492,9),(40493,5),(40494,8),(40495,3),(40496,7),(40497,8),(40498,6),(40499,8),(40500,7),(40501,1),(40502,3),(40503,4),(40504,6),(40505,1),(40506,9),(40507,4),(40508,5),(40509,3),(40510,3),(40511,9),(40512,8),(40513,7),(40514,5),(40515,7),(40516,1),(40517,1),(40518,9),(40519,7),(40520,5),(40521,7),(40522,6),(40523,7),(40524,3),(40525,7),(40526,5),(40527,2),(40528,9),(40529,7),(40530,3),(40531,7),(40532,5),(40533,1),(40534,8),(40535,1),(40536,2),(40537,6),(40538,5),(40539,4),(40540,4),(40541,2),(40542,6),(40543,3),(40544,3),(40545,3),(40546,2),(40547,1),(40548,3),(40549,5),(40550,2),(40551,4),(40552,8),(40553,9),(40554,3),(40555,3),(40556,2),(40557,8),(40558,8),(40559,6),(40560,5),(40561,5),(40562,9),(40563,6),(40564,9),(40565,6),(40566,1),(40567,6),(40568,6),(40569,4),(40570,6),(40571,6),(40572,6),(40573,9),(40574,6),(40575,2),(40576,6),(40577,3),(40578,5),(40579,6),(40580,1),(40581,8),(40582,1),(40583,8),(40584,9),(40585,3),(40586,6),(40587,5),(40588,8),(40589,9),(40590,7),(40591,4),(40592,2),(40593,6),(40594,7),(40595,8),(40596,4),(40597,8),(40598,6),(40599,5),(40600,7),(40601,1),(40602,3),(40603,5),(40604,4),(40605,8),(40606,9),(40607,2),(40608,8),(40609,6),(40610,3),(40611,8),(40612,9),(40613,7),(40614,6),(40615,7),(40616,4),(40617,5),(40618,2),(40619,2),(40620,8),(40621,1),(40622,6),(40623,3),(40624,6),(40625,6),(40626,1),(40627,7),(40628,7),(40629,7),(40630,4),(40631,5),(40632,2),(40633,8),(40634,1),(40635,9),(40636,8),(40637,3),(40638,5),(40639,7),(40640,5),(40641,5),(40642,2),(40643,9),(40644,9),(40645,8),(40646,4),(40647,2),(40648,9),(40649,9),(40650,9),(40651,5),(40652,5),(40653,7),(40654,2),(40655,8),(40656,5),(40657,1),(40658,4),(40659,5),(40660,5),(40661,3),(40662,4),(40663,2),(40664,1),(40665,7),(40666,3),(40667,1),(40668,5),(40669,9),(40670,1),(40671,2),(40672,7),(40673,1),(40674,4),(40675,7),(40676,5),(40677,6),(40678,1),(40679,9),(40680,7),(40681,3),(40682,8),(40683,1),(40684,9),(40685,2),(40686,5),(40687,4),(40688,5),(40689,5),(40690,2),(40691,1),(40692,7),(40693,7),(40694,1),(40695,1),(40696,7),(40697,4),(40698,9),(40699,7),(40700,8),(40701,2),(40702,8),(40703,5),(40704,9),(40705,1),(40706,8),(40707,8),(40708,1),(40709,6),(40710,2),(40711,1),(40712,4),(40713,5),(40714,1),(40715,3),(40716,8),(40717,4),(40718,6),(40719,4),(40720,3),(40721,5),(40722,1),(40723,7),(40724,2),(40725,5),(40726,9),(40727,4),(40728,3),(40729,3),(40730,8),(40731,3),(40732,7),(40733,2),(40734,7),(40735,8),(40736,6),(40737,2),(40738,7),(40739,1),(40740,7),(40741,7),(40742,6),(40743,4),(40744,8),(40745,5),(40746,6),(40747,9),(40748,4),(40749,3),(40750,2),(40751,2),(40752,9),(40753,3),(40754,1),(40755,8),(40756,5),(40757,3),(40758,4),(40759,6),(40760,4),(40761,2),(40762,1),(40763,1),(40764,9),(40765,6),(40766,6),(40767,9),(40768,3),(40769,5),(40770,3),(40771,7),(40772,6),(40773,4),(40774,6),(40775,2),(40776,6),(40777,1),(40778,6),(40779,4),(40780,5),(40781,3),(40782,5),(40783,1),(40784,2),(40785,5),(40786,4),(40787,4),(40788,8),(40789,7),(40790,4),(40791,2),(40792,9),(40793,2),(40794,6),(40795,8),(40796,3),(40797,5),(40798,4),(40799,6),(40800,6),(40801,2),(40802,5),(40803,4),(40804,2),(40805,9),(40806,2),(40807,7),(40808,3),(40809,1),(40810,6),(40811,9),(40812,3),(40813,6),(40814,5),(40815,7),(40816,9),(40817,2),(40818,6),(40819,2),(40820,2),(40821,8),(40822,7),(40823,3),(40824,6),(40825,3),(40826,8),(40827,2),(40828,8),(40829,9),(40830,7),(40831,6),(40832,5),(40833,2),(40834,5),(40835,5),(40836,8),(40837,4),(40838,6),(40839,7),(40840,3),(40841,4),(40842,5),(40843,4),(40844,1),(40845,2),(40846,3),(40847,6),(40848,6),(40849,9),(40850,2),(40851,1),(40852,4),(40853,6),(40854,5),(40855,9),(40856,3),(40857,8),(40858,1),(40859,8),(40860,1),(40861,8),(40862,6),(40863,5),(40864,3),(40865,4),(40866,1),(40867,3),(40868,7),(40869,1),(40870,2),(40871,3),(40872,6),(40873,7),(40874,7),(40875,2),(40876,8),(40877,2),(40878,1),(40879,6),(40880,4),(40881,1),(40882,2),(40883,2),(40884,3),(40885,9),(40886,3),(40887,7),(40888,9),(40889,6),(40890,9),(40891,3),(40892,5),(40893,6),(40894,4),(40895,6),(40896,4),(40897,9),(40898,4),(40899,5),(40900,1),(40901,8),(40902,1),(40903,1),(40904,8),(40905,4),(40906,8),(40907,9),(40908,4),(40909,5),(40910,8),(40911,4),(40912,1),(40913,7),(40914,4),(40915,4),(40916,4),(40917,4),(40918,6),(40919,2),(40920,7),(40921,7),(40922,1),(40923,7),(40924,5),(40925,1),(40926,9),(40927,9),(40928,6),(40929,3),(40930,2),(40931,4),(40932,2),(40933,3),(40934,4),(40935,2),(40936,1),(40937,5),(40938,3),(40939,8),(40940,8),(40941,8),(40942,1),(40943,4),(40944,5),(40945,6),(40946,6),(40947,3),(40948,6),(40949,9),(40950,5),(40951,3),(40952,7),(40953,9),(40954,4),(40955,5),(40956,7),(40957,4),(40958,9),(40959,1),(40960,8),(40961,1),(40962,7),(40963,9),(40964,1),(40965,8),(40966,6),(40967,6),(40968,8),(40969,9),(40970,6),(40971,4),(40972,5),(40973,3),(40974,6),(40975,1),(40976,1),(40977,8),(40978,5),(40979,7),(40980,6),(40981,8),(40982,3),(40983,8),(40984,2),(40985,9),(40986,8),(40987,2),(40988,6),(40989,3),(40990,2),(40991,4),(40992,3),(40993,6),(40994,6),(40995,6),(40996,5),(40997,3),(40998,2),(40999,2),(41000,8),(41001,2),(41002,8),(41003,9),(41004,5),(41005,9),(41006,7),(41007,9),(41008,7),(41009,4),(41010,6),(41011,6),(41012,7),(41013,2),(41014,2),(41015,4),(41016,6),(41017,6),(41018,2),(41019,8),(41020,7),(41021,9),(41022,7),(41023,3),(41024,8),(41025,6),(41026,1),(41027,7),(41028,4),(41029,5),(41030,1),(41031,9),(41032,6),(41033,6),(41034,7),(41035,7),(41036,6),(41037,6),(41038,7),(41039,6),(41040,2),(41041,1),(41042,9),(41043,8),(41044,3),(41045,9),(41046,7),(41047,7),(41048,3),(41049,3),(41050,9),(41051,9),(41052,5),(41053,3),(41054,3),(41055,8),(41056,1),(41057,3),(41058,1),(41059,3),(41060,2),(41061,2),(41062,4),(41063,3),(41064,1),(41065,1),(41066,5),(41067,8),(41068,8),(41069,7),(41070,6),(41071,7),(41072,9),(41073,8),(41074,3),(41075,6),(41076,1),(41077,4),(41078,5),(41079,3),(41080,5),(41081,3),(41082,9),(41083,4),(41084,7),(41085,8),(41086,6),(41087,4),(41088,4),(41089,4),(41090,2),(41091,2),(41092,4),(41093,8),(41094,7),(41095,2),(41096,1),(41097,1),(41098,7),(41099,4),(41100,9),(41101,5),(41102,2),(41103,6),(41104,3),(41105,9),(41106,4),(41107,1),(41108,2),(41109,3),(41110,9),(41111,2),(41112,5),(41113,7),(41114,8),(41115,5),(41116,1),(41117,8),(41118,5),(41119,1),(41120,7),(41121,4),(41122,6),(41123,8),(41124,9),(41125,2),(41126,7),(41127,8),(41128,6),(41129,5),(41130,1),(41131,3),(41132,9),(41133,5),(41134,5),(41135,2),(41136,7),(41137,9),(41138,6),(41139,9),(41140,2),(41141,3),(41142,4),(41143,9),(41144,9),(41145,6),(41146,1),(41147,4),(41148,6),(41149,6),(41150,8),(41151,2),(41152,2),(41153,7),(41154,7),(41155,7),(41156,4),(41157,6),(41158,1),(41159,9),(41160,9),(41161,2),(41162,7),(41163,8),(41164,6),(41165,2),(41166,5),(41167,7),(41168,4),(41169,2),(41170,1),(41171,1),(41172,5),(41173,1),(41174,6),(41175,9),(41176,9),(41177,4),(41178,8),(41179,4),(41180,5),(41181,8),(41182,3),(41183,2),(41184,5),(41185,2),(41186,9),(41187,8),(41188,7),(41189,7),(41190,8),(41191,2),(41192,1),(41193,7),(41194,2),(41195,2),(41196,1),(41197,2),(41198,2),(41199,9),(41200,7),(41201,8),(41202,6),(41203,8),(41204,7),(41205,8),(41206,3),(41207,1),(41208,7),(41209,6),(41210,3),(41211,9),(41212,3),(41213,8),(41214,9),(41215,5),(41216,3),(41217,9),(41218,7),(41219,8),(41220,9),(41221,4),(41222,4),(41223,1),(41224,2),(41225,4),(41226,5),(41227,1),(41228,5),(41229,1),(41230,9),(41231,8),(41232,2),(41233,8),(41234,6),(41235,6),(41236,9),(41237,8),(41238,8),(41239,5),(41240,6),(41241,8),(41242,3),(41243,8),(41244,5),(41245,2),(41246,4),(41247,2),(41248,2),(41249,9),(41250,7),(41251,3),(41252,5),(41253,4),(41254,6),(41255,8),(41256,8),(41257,7),(41258,9),(41259,8),(41260,2),(41261,8),(41262,1),(41263,6),(41264,2),(41265,4),(41266,5),(41267,8),(41268,1),(41269,5),(41270,1),(41271,7),(41272,5),(41273,4),(41274,5),(41275,8),(41276,6),(41277,5),(41278,7),(41279,2),(41280,1),(41281,6),(41282,2),(41283,4),(41284,6),(41285,8),(41286,1),(41287,1),(41288,7),(41289,7),(41290,4),(41291,2),(41292,1),(41293,8),(41294,7),(41295,9),(41296,9),(41297,1),(41298,6),(41299,5),(41300,5),(41301,7),(41302,6),(41303,3),(41304,1),(41305,8),(41306,7),(41307,2),(41308,4),(41309,5),(41310,1),(41311,5),(41312,2),(41313,7),(41314,7),(41315,6),(41316,7),(41317,7),(41318,2),(41319,6),(41320,5),(41321,1),(41322,4),(41323,6),(41324,1),(41325,8),(41326,1),(41327,2),(41328,1),(41329,7),(41330,9),(41331,5),(41332,1),(41333,8),(41334,3),(41335,5),(41336,1),(41337,4),(41338,1),(41339,3),(41340,8),(41341,9),(41342,4),(41343,2),(41344,6),(41345,8),(41346,5),(41347,4),(41348,6),(41349,6),(41350,9),(41351,3),(41352,4),(41353,3),(41354,3),(41355,6),(41356,9),(41357,2),(41358,6),(41359,1),(41360,7),(41361,9),(41362,3),(41363,1),(41364,3),(41365,8),(41366,5),(41367,5),(41368,5),(41369,4),(41370,5),(41371,3),(41372,5),(41373,6),(41374,2),(41375,1),(41376,5),(41377,2),(41378,2),(41379,8),(41380,5),(41381,6),(41382,3),(41383,3),(41384,6),(41385,2),(41386,3),(41387,8),(41388,2),(41389,4),(41390,5),(41391,4),(41392,5),(41393,3),(41394,6),(41395,6),(41396,9),(41397,2),(41398,4),(41399,8),(41400,3),(41401,1),(41402,1),(41403,6),(41404,7),(41405,5),(41406,4),(41407,3),(41408,8),(41409,9),(41410,1),(41411,9),(41412,1),(41413,2),(41414,8),(41415,8),(41416,2),(41417,4),(41418,9),(41419,9),(41420,9),(41421,9),(41422,8),(41423,2),(41424,1),(41425,9),(41426,9),(41427,7),(41428,5),(41429,7),(41430,2),(41431,5),(41432,1),(41433,8),(41434,4),(41435,8),(41436,9),(41437,4),(41438,8),(41439,4),(41440,5),(41441,2),(41442,9),(41443,2),(41444,3),(41445,5),(41446,9),(41447,5),(41448,4),(41449,3),(41450,2),(41451,9),(41452,7),(41453,2),(41454,2),(41455,1),(41456,6),(41457,1),(41458,1),(41459,4),(41460,4),(41461,9),(41462,4),(41463,2),(41464,4),(41465,7),(41466,8),(41467,8),(41468,2),(41469,1),(41470,2),(41471,6),(41472,3),(41473,1),(41474,7),(41475,9),(41476,4),(41477,9),(41478,3),(41479,7),(41480,7),(41481,2),(41482,3),(41483,9),(41484,8),(41485,2),(41486,5),(41487,1),(41488,7),(41489,8),(41490,3),(41491,6),(41492,2),(41493,7),(41494,2),(41495,1),(41496,1),(41497,6),(41498,4),(41499,7),(41500,1),(41501,3),(41502,5),(41503,3),(41504,1),(41505,4),(41506,9),(41507,1),(41508,9),(41509,1),(41510,7),(41511,6),(41512,9),(41513,1),(41514,6),(41515,2),(41516,6),(41517,5),(41518,2),(41519,6),(41520,7),(41521,6),(41522,7),(41523,4),(41524,2),(41525,7),(41526,9),(41527,5),(41528,9),(41529,7),(41530,4),(41531,3),(41532,3),(41533,4),(41534,2),(41535,1),(41536,7),(41537,1),(41538,6),(41539,7),(41540,7),(41541,6),(41542,5),(41543,2),(41544,3),(41545,6),(41546,6),(41547,7),(41548,6),(41549,5),(41550,3),(41551,4),(41552,8),(41553,6),(41554,4),(41555,6),(41556,1),(41557,5),(41558,5),(41559,5),(41560,3),(41561,4),(41562,3),(41563,3),(41564,7),(41565,9),(41566,9),(41567,5),(41568,5),(41569,9),(41570,1),(41571,3),(41572,7),(41573,7),(41574,8),(41575,7),(41576,4),(41577,9),(41578,5),(41579,5),(41580,2),(41581,8),(41582,2),(41583,6),(41584,9),(41585,8),(41586,4),(41587,8),(41588,6),(41589,8),(41590,3),(41591,7),(41592,1),(41593,9),(41594,8),(41595,1),(41596,8),(41597,5),(41598,4),(41599,1),(41600,4),(41601,4),(41602,5),(41603,1),(41604,5),(41605,3),(41606,4),(41607,2),(41608,9),(41609,7),(41610,4),(41611,6),(41612,1),(41613,6),(41614,7),(41615,3),(41616,2),(41617,2),(41618,3),(41619,9),(41620,6),(41621,1),(41622,2),(41623,5),(41624,3),(41625,7),(41626,2),(41627,6),(41628,4),(41629,4),(41630,9),(41631,3),(41632,8),(41633,9),(41634,8),(41635,6),(41636,2),(41637,1),(41638,5),(41639,6),(41640,2),(41641,4),(41642,9),(41643,7),(41644,5),(41645,5),(41646,1),(41647,5),(41648,8),(41649,9),(41650,7),(41651,8),(41652,9),(41653,8),(41654,2),(41655,5),(41656,7),(41657,3),(41658,9),(41659,2),(41660,5),(41661,3),(41662,3),(41663,1),(41664,3),(41665,5),(41666,7),(41667,7),(41668,8),(41669,2),(41670,4),(41671,2),(41672,9),(41673,1),(41674,4),(41675,3),(41676,2),(41677,5),(41678,8),(41679,9),(41680,2),(41681,7),(41682,2),(41683,3),(41684,2),(41685,2),(41686,9),(41687,1),(41688,9),(41689,4),(41690,2),(41691,8),(41692,9),(41693,5),(41694,3),(41695,4),(41696,3),(41697,2),(41698,9),(41699,1),(41700,5),(41701,5),(41702,7),(41703,5),(41704,2),(41705,4),(41706,7),(41707,6),(41708,4),(41709,1),(41710,7),(41711,2),(41712,5),(41713,8),(41714,8),(41715,8),(41716,7),(41717,2),(41718,1),(41719,4),(41720,8),(41721,7),(41722,3),(41723,5),(41724,8),(41725,4),(41726,9),(41727,1),(41728,4),(41729,7),(41730,5),(41731,4),(41732,2),(41733,7),(41734,1),(41735,7),(41736,1),(41737,8),(41738,1),(41739,8),(41740,8),(41741,6),(41742,9),(41743,2),(41744,1),(41745,2),(41746,1),(41747,3),(41748,7),(41749,4),(41750,8),(41751,6),(41752,1),(41753,3),(41754,6),(41755,1),(41756,7),(41757,5),(41758,4),(41759,9),(41760,1),(41761,1),(41762,9),(41763,4),(41764,3),(41765,7),(41766,6),(41767,9),(41768,9),(41769,3),(41770,1),(41771,6),(41772,7),(41773,9),(41774,6),(41775,7),(41776,8),(41777,3),(41778,6),(41779,4),(41780,4),(41781,2),(41782,9),(41783,6),(41784,4),(41785,6),(41786,8),(41787,1),(41788,6),(41789,5),(41790,8),(41791,9),(41792,2),(41793,4),(41794,6),(41795,6),(41796,6),(41797,9),(41798,7),(41799,5),(41800,6),(41801,2),(41802,8),(41803,9),(41804,6),(41805,3),(41806,7),(41807,8),(41808,8),(41809,1),(41810,3),(41811,9),(41812,9),(41813,6),(41814,9),(41815,1),(41816,9),(41817,7),(41818,8),(41819,2),(41820,1),(41821,8),(41822,8),(41823,3),(41824,7),(41825,4),(41826,7),(41827,6),(41828,6),(41829,5),(41830,7),(41831,6),(41832,7),(41833,6),(41834,9),(41835,9),(41836,5),(41837,9),(41838,7),(41839,3),(41840,6),(41841,2),(41842,8),(41843,1),(41844,3),(41845,4),(41846,9),(41847,2),(41848,6),(41849,8),(41850,2),(41851,2),(41852,2),(41853,1),(41854,5),(41855,7),(41856,9),(41857,2),(41858,7),(41859,9),(41860,4),(41861,7),(41862,4),(41863,2),(41864,4),(41865,6),(41866,6),(41867,6),(41868,7),(41869,5),(41870,4),(41871,7),(41872,8),(41873,1),(41874,6),(41875,6),(41876,8),(41877,9),(41878,4),(41879,5),(41880,8),(41881,6),(41882,6),(41883,1),(41884,4),(41885,6),(41886,4),(41887,6),(41888,3),(41889,9),(41890,2),(41891,5),(41892,6),(41893,8),(41894,9),(41895,9),(41896,9),(41897,6),(41898,3),(41899,5),(41900,4),(41901,5),(41902,2),(41903,8),(41904,9),(41905,7),(41906,6),(41907,4),(41908,5),(41909,3),(41910,8),(41911,3),(41912,5),(41913,5),(41914,3),(41915,8),(41916,9),(41917,8),(41918,4),(41919,9),(41920,6),(41921,6),(41922,5),(41923,3),(41924,1),(41925,6),(41926,6),(41927,8),(41928,6),(41929,8),(41930,1),(41931,3),(41932,2),(41933,6),(41934,1),(41935,2),(41936,7),(41937,8),(41938,2),(41939,2),(41940,2),(41941,9),(41942,1),(41943,7),(41944,8),(41945,4),(41946,2),(41947,4),(41948,3),(41949,7),(41950,5),(41951,1),(41952,2),(41953,3),(41954,2),(41955,6),(41956,8),(41957,9),(41958,1),(41959,2),(41960,5),(41961,2),(41962,6),(41963,1),(41964,4),(41965,2),(41966,6),(41967,9),(41968,7),(41969,5),(41970,9),(41971,5),(41972,2),(41973,3),(41974,5),(41975,9),(41976,2),(41977,4),(41978,8),(41979,1),(41980,7),(41981,8),(41982,7),(41983,1),(41984,7),(41985,2),(41986,9),(41987,6),(41988,3),(41989,2),(41990,8),(41991,6),(41992,3),(41993,5),(41994,8),(41995,8),(41996,6),(41997,5),(41998,7),(41999,2),(42000,9),(42001,7),(42002,7),(42003,8),(42004,7),(42005,5),(42006,5),(42007,8),(42008,4),(42009,7),(42010,3),(42011,7),(42012,6),(42013,1),(42014,5),(42015,5),(42016,1),(42017,6),(42018,3),(42019,1),(42020,2),(42021,2),(42022,7),(42023,7),(42024,4),(42025,9),(42026,9),(42027,1),(42028,7),(42029,6),(42030,3),(42031,2),(42032,6),(42033,5),(42034,2),(42035,5),(42036,8),(42037,8),(42038,7),(42039,4),(42040,6),(42041,6),(42042,5),(42043,2),(42044,9),(42045,8),(42046,4),(42047,5),(42048,9),(42049,5),(42050,7),(42051,7),(42052,9),(42053,9),(42054,4),(42055,4),(42056,3),(42057,6),(42058,6),(42059,7),(42060,3),(42061,5),(42062,1),(42063,1),(42064,3),(42065,8),(42066,5),(42067,9),(42068,3),(42069,3),(42070,7),(42071,3),(42072,9),(42073,9),(42074,7),(42075,3),(42076,8),(42077,7),(42078,7),(42079,7),(42080,8),(42081,3),(42082,4),(42083,6),(42084,7),(42085,6),(42086,9),(42087,2),(42088,6),(42089,5),(42090,3),(42091,3),(42092,1),(42093,7),(42094,9),(42095,7),(42096,7),(42097,8),(42098,2),(42099,1),(42100,2),(42101,4),(42102,6),(42103,1),(42104,2),(42105,2),(42106,8),(42107,9),(42108,8),(42109,5),(42110,6),(42111,6),(42112,8),(42113,6),(42114,6),(42115,9),(42116,1),(42117,7),(42118,1),(42119,1),(42120,9),(42121,9),(42122,7),(42123,7),(42124,3),(42125,6),(42126,2),(42127,4),(42128,4),(42129,7),(42130,1),(42131,5),(42132,5),(42133,9),(42134,8),(42135,4),(42136,1),(42137,4),(42138,8),(42139,9),(42140,6),(42141,8),(42142,7),(42143,8),(42144,5),(42145,6),(42146,7),(42147,6),(42148,5),(42149,6),(42150,8),(42151,8),(42152,2),(42153,9),(42154,8),(42155,2),(42156,4),(42157,5),(42158,1),(42159,4),(42160,5),(42161,4),(42162,1),(42163,4),(42164,4),(42165,9),(42166,8),(42167,3),(42168,6),(42169,3),(42170,7),(42171,6),(42172,4),(42173,7),(42174,1),(42175,5),(42176,8),(42177,5),(42178,1),(42179,4),(42180,4),(42181,2),(42182,8),(42183,7),(42184,7),(42185,2),(42186,4),(42187,7),(42188,8),(42189,7),(42190,6),(42191,1),(42192,2),(42193,1),(42194,9),(42195,2),(42196,2),(42197,9),(42198,1),(42199,1),(42200,7),(42201,1),(42202,2),(42203,4),(42204,6),(42205,9),(42206,7),(42207,3),(42208,4),(42209,6),(42210,4),(42211,4),(42212,7),(42213,1),(42214,8),(42215,2),(42216,5),(42217,6),(42218,3),(42219,8),(42220,4),(42221,9),(42222,8),(42223,3),(42224,6),(42225,6),(42226,1),(42227,8),(42228,3),(42229,6),(42230,4),(42231,3),(42232,2),(42233,4),(42234,7),(42235,5),(42236,6),(42237,8),(42238,9),(42239,8),(42240,2),(42241,3),(42242,2),(42243,4),(42244,2),(42245,7),(42246,6),(42247,3),(42248,6),(42249,4),(42250,7),(42251,3),(42252,5),(42253,9),(42254,1),(42255,5),(42256,4),(42257,4),(42258,3),(42259,6),(42260,4),(42261,2),(42262,6),(42263,2),(42264,9),(42265,5),(42266,6),(42267,2),(42268,8),(42269,6),(42270,8),(42271,3),(42272,2),(42273,8),(42274,4),(42275,7),(42276,7),(42277,1),(42278,1),(42279,9),(42280,1),(42281,1),(42282,4),(42283,7),(42284,8),(42285,2),(42286,7),(42287,2),(42288,3),(42289,3),(42290,5),(42291,8),(42292,3),(42293,6),(42294,5),(42295,7),(42296,1),(42297,5),(42298,6),(42299,1),(42300,1),(42301,7),(42302,1),(42303,2),(42304,3),(42305,2),(42306,2),(42307,3),(42308,3),(42309,9),(42310,2),(42311,2),(42312,5),(42313,9),(42314,7),(42315,1),(42316,9),(42317,2),(42318,9),(42319,7),(42320,7),(42321,8),(42322,6),(42323,9),(42324,3),(42325,1),(42326,3),(42327,1),(42328,1),(42329,5),(42330,3),(42331,7),(42332,9),(42333,6),(42334,9),(42335,8),(42336,1),(42337,7),(42338,9),(42339,2),(42340,3),(42341,4),(42342,9),(42343,9),(42344,3),(42345,1),(42346,8),(42347,8),(42348,6),(42349,6),(42350,4),(42351,9),(42352,8),(42353,1),(42354,7),(42355,6),(42356,5),(42357,6),(42358,1),(42359,4),(42360,3),(42361,9),(42362,9),(42363,6),(42364,5),(42365,9),(42366,1),(42367,5),(42368,2),(42369,7),(42370,1),(42371,5),(42372,5),(42373,9),(42374,1),(42375,5),(42376,7),(42377,7),(42378,1),(42379,1),(42380,5),(42381,9),(42382,9),(42383,2),(42384,7),(42385,3),(42386,1),(42387,6),(42388,7),(42389,3),(42390,1),(42391,3),(42392,3),(42393,9),(42394,7),(42395,4),(42396,7),(42397,2),(42398,1),(42399,2),(42400,6),(42401,1),(42402,5),(42403,9),(42404,8),(42405,7),(42406,1),(42407,5),(42408,8),(42409,4),(42410,3),(42411,1),(42412,2),(42413,2),(42414,1),(42415,6),(42416,2),(42417,1),(42418,4),(42419,9),(42420,5),(42421,4),(42422,8),(42423,4),(42424,1),(42425,6),(42426,8),(42427,5),(42428,8),(42429,1),(42430,9),(42431,1),(42432,8),(42433,6),(42434,4),(42435,2),(42436,7),(42437,2),(42438,5),(42439,8),(42440,2),(42441,9),(42442,2),(42443,3),(42444,2),(42445,1),(42446,1),(42447,3),(42448,1),(42449,3),(42450,6),(42451,5),(42452,8),(42453,1),(42454,8),(42455,7),(42456,9),(42457,9),(42458,4),(42459,3),(42460,5),(42461,5),(42462,4),(42463,1),(42464,8),(42465,1),(42466,1),(42467,9),(42468,2),(42469,9),(42470,4),(42471,1),(42472,2),(42473,1),(42474,8),(42475,1),(42476,8),(42477,6),(42478,1),(42479,2),(42480,4),(42481,3),(42482,1),(42483,2),(42484,2),(42485,5),(42486,9),(42487,9),(42488,1),(42489,3),(42490,8),(42491,3),(42492,6),(42493,5),(42494,7),(42495,4),(42496,3),(42497,9),(42498,4),(42499,8),(42500,1),(42501,4),(42502,7),(42503,3),(42504,8),(42505,7),(42506,7),(42507,4),(42508,9),(42509,5),(42510,5),(42511,9),(42512,8),(42513,2),(42514,2),(42515,8),(42516,4),(42517,5),(42518,7),(42519,2),(42520,1),(42521,3),(42522,4),(42523,3),(42524,6),(42525,6),(42526,6),(42527,5),(42528,3),(42529,5),(42530,4),(42531,5),(42532,6),(42533,7),(42534,7),(42535,8),(42536,1),(42537,1),(42538,8),(42539,4),(42540,2),(42541,3),(42542,7),(42543,2),(42544,9),(42545,8),(42546,1),(42547,8),(42548,1),(42549,6),(42550,6),(42551,2),(42552,1),(42553,5),(42554,3),(42555,4),(42556,1),(42557,3),(42558,3),(42559,2),(42560,4),(42561,1),(42562,5),(42563,2),(42564,8),(42565,9),(42566,9),(42567,5),(42568,3),(42569,7),(42570,6),(42571,2),(42572,1),(42573,8),(42574,2),(42575,6),(42576,5),(42577,8),(42578,6),(42579,6),(42580,5),(42581,1),(42582,4),(42583,2),(42584,3),(42585,8),(42586,6),(42587,7),(42588,7),(42589,8),(42590,3),(42591,6),(42592,6),(42593,8),(42594,7),(42595,8),(42596,1),(42597,3),(42598,6),(42599,7),(42600,8),(42601,3),(42602,3),(42603,5),(42604,1),(42605,9),(42606,7),(42607,2),(42608,6),(42609,2),(42610,9),(42611,5),(42612,6),(42613,8),(42614,9),(42615,6),(42616,5),(42617,6),(42618,5),(42619,5),(42620,3),(42621,6),(42622,5),(42623,9),(42624,1),(42625,9),(42626,8),(42627,2),(42628,4),(42629,7),(42630,1),(42631,2),(42632,3),(42633,5),(42634,8),(42635,4),(42636,8),(42637,4),(42638,9),(42639,4),(42640,6),(42641,7),(42642,9),(42643,6),(42644,9),(42645,6),(42646,9),(42647,6),(42648,5),(42649,1),(42650,6),(42651,6),(42652,5),(42653,1),(42654,6),(42655,2),(42656,7),(42657,2),(42658,8),(42659,9),(42660,1),(42661,2),(42662,4),(42663,9),(42664,6),(42665,2),(42666,2),(42667,7),(42668,9),(42669,3),(42670,8),(42671,1),(42672,6),(42673,6),(42674,5),(42675,1),(42676,1),(42677,3),(42678,3),(42679,2),(42680,8),(42681,9),(42682,6),(42683,3),(42684,6),(42685,4),(42686,8),(42687,5),(42688,9),(42689,8),(42690,7),(42691,8),(42692,9),(42693,5),(42694,2),(42695,6),(42696,8),(42697,5),(42698,7),(42699,7),(42700,5),(42701,2),(42702,4),(42703,8),(42704,7),(42705,1),(42706,4),(42707,9),(42708,2),(42709,2),(42710,1),(42711,1),(42712,8),(42713,7),(42714,5),(42715,5),(42716,1),(42717,1),(42718,7),(42719,3),(42720,1),(42721,1),(42722,2),(42723,3),(42724,6),(42725,1),(42726,1),(42727,7),(42728,5),(42729,1),(42730,6),(42731,2),(42732,5),(42733,3),(42734,7),(42735,6),(42736,4),(42737,2),(42738,5),(42739,6),(42740,9),(42741,6),(42742,1),(42743,7),(42744,1),(42745,7),(42746,4),(42747,1),(42748,4),(42749,2),(42750,2),(42751,5),(42752,3),(42753,1),(42754,7),(42755,9),(42756,5),(42757,9),(42758,4),(42759,6),(42760,3),(42761,3),(42762,9),(42763,3),(42764,7),(42765,4),(42766,4),(42767,9),(42768,2),(42769,6),(42770,9),(42771,1),(42772,8),(42773,3),(42774,8),(42775,1),(42776,8),(42777,2),(42778,4),(42779,1),(42780,5),(42781,4),(42782,4),(42783,4),(42784,6),(42785,3),(42786,5),(42787,1),(42788,7),(42789,9),(42790,8),(42791,5),(42792,2),(42793,2),(42794,1),(42795,1),(42796,2),(42797,8),(42798,3),(42799,5),(42800,6),(42801,1),(42802,8),(42803,1),(42804,3),(42805,2),(42806,9),(42807,6),(42808,2),(42809,3),(42810,1),(42811,6),(42812,1),(42813,2),(42814,9),(42815,1),(42816,8),(42817,2),(42818,2),(42819,1),(42820,2),(42821,4),(42822,6),(42823,8),(42824,9),(42825,3),(42826,9),(42827,2),(42828,2),(42829,5),(42830,8),(42831,1),(42832,4),(42833,6),(42834,5),(42835,9),(42836,1),(42837,2),(42838,9),(42839,3),(42840,8),(42841,5),(42842,9),(42843,9),(42844,1),(42845,1),(42846,4),(42847,1),(42848,2),(42849,2),(42850,2),(42851,5),(42852,8),(42853,4),(42854,8),(42855,5),(42856,2),(42857,5),(42858,3),(42859,1),(42860,8),(42861,9),(42862,7),(42863,8),(42864,8),(42865,3),(42866,8),(42867,2),(42868,7),(42869,6),(42870,6),(42871,6),(42872,7),(42873,5),(42874,7),(42875,2),(42876,4),(42877,4),(42878,3),(42879,1),(42880,7),(42881,7),(42882,9),(42883,3),(42884,2),(42885,6),(42886,3),(42887,2),(42888,3),(42889,2),(42890,3),(42891,5),(42892,9),(42893,1),(42894,7),(42895,6),(42896,3),(42897,5),(42898,7),(42899,8),(42900,7),(42901,3),(42902,5),(42903,6),(42904,2),(42905,7),(42906,7),(42907,7),(42908,7),(42909,1),(42910,3),(42911,6),(42912,2),(42913,9),(42914,4),(42915,3),(42916,8),(42917,7),(42918,9),(42919,5),(42920,7),(42921,2),(42922,4),(42923,4),(42924,1),(42925,3),(42926,3),(42927,3),(42928,3),(42929,7),(42930,8),(42931,5),(42932,9),(42933,9),(42934,5),(42935,7),(42936,5),(42937,3),(42938,5),(42939,8),(42940,8),(42941,3),(42942,6),(42943,5),(42944,1),(42945,2),(42946,8),(42947,6),(42948,6),(42949,5),(42950,6),(42951,3),(42952,1),(42953,7),(42954,1),(42955,8),(42956,9),(42957,7),(42958,1),(42959,4),(42960,3),(42961,2),(42962,5),(42963,7),(42964,9),(42965,7),(42966,9),(42967,4),(42968,5),(42969,7),(42970,7),(42971,6),(42972,5),(42973,7),(42974,2),(42975,2),(42976,3),(42977,7),(42978,5),(42979,3),(42980,6),(42981,3),(42982,1),(42983,9),(42984,4),(42985,5),(42986,2),(42987,3),(42988,2),(42989,3),(42990,5),(42991,4),(42992,9),(42993,8),(42994,5),(42995,8),(42996,8),(42997,9),(42998,9),(42999,2),(43000,2),(43001,6),(43002,4),(43003,1),(43004,6),(43005,9),(43006,1),(43007,1),(43008,3),(43009,6),(43010,7),(43011,6),(43012,7),(43013,8),(43014,2),(43015,8),(43016,9),(43017,9),(43018,2),(43019,2),(43020,1),(43021,2),(43022,7),(43023,8),(43024,3),(43025,6),(43026,2),(43027,9),(43028,1),(43029,2),(43030,5),(43031,5),(43032,8),(43033,6),(43034,8),(43035,4),(43036,7),(43037,9),(43038,7),(43039,7),(43040,1),(43041,1),(43042,1),(43043,5),(43044,5),(43045,2),(43046,1),(43047,7),(43048,5),(43049,3),(43050,1),(43051,8),(43052,7),(43053,2),(43054,6),(43055,8),(43056,2),(43057,1),(43058,7),(43059,8),(43060,2),(43061,1),(43062,8),(43063,9),(43064,6),(43065,1),(43066,5),(43067,7),(43068,8),(43069,3),(43070,4),(43071,2),(43072,7),(43073,7),(43074,5),(43075,7),(43076,2),(43077,6),(43078,2),(43079,9),(43080,3),(43081,3),(43082,6),(43083,3),(43084,6),(43085,5),(43086,6),(43087,2),(43088,7),(43089,9),(43090,5),(43091,2),(43092,8),(43093,5),(43094,1),(43095,8),(43096,4),(43097,4),(43098,8),(43099,1),(43100,9),(43101,3),(43102,8),(43103,6),(43104,9),(43105,5),(43106,2),(43107,6),(43108,8),(43109,2),(43110,4),(43111,9),(43112,6),(43113,6),(43114,1),(43115,2),(43116,1),(43117,8),(43118,3),(43119,8),(43120,7),(43121,7),(43122,6),(43123,4),(43124,5),(43125,8),(43126,5),(43127,8),(43128,9),(43129,9),(43130,9),(43131,1),(43132,1),(43133,5),(43134,5),(43135,2),(43136,7),(43137,1),(43138,7),(43139,3),(43140,6),(43141,8),(43142,4),(43143,5),(43144,2),(43145,6),(43146,9),(43147,7),(43148,2),(43149,2),(43150,2),(43151,5),(43152,3),(43153,8),(43154,2),(43155,1),(43156,1),(43157,7),(43158,7),(43159,6),(43160,9),(43161,9),(43162,4),(43163,6),(43164,7),(43165,5),(43166,9),(43167,8),(43168,3),(43169,6),(43170,7),(43171,7),(43172,4),(43173,2),(43174,6),(43175,5),(43176,6),(43177,4),(43178,1),(43179,1),(43180,4),(43181,6),(43182,6),(43183,6),(43184,5),(43185,7),(43186,9),(43187,8),(43188,4),(43189,3),(43190,9),(43191,1),(43192,4),(43193,5),(43194,3),(43195,1),(43196,2),(43197,7),(43198,4),(43199,5),(43200,4),(43201,6),(43202,2),(43203,8),(43204,7),(43205,3),(43206,1),(43207,5),(43208,3),(43209,6),(43210,4),(43211,6),(43212,1),(43213,1),(43214,2),(43215,7),(43216,3),(43217,3),(43218,1),(43219,2),(43220,9),(43221,2),(43222,1),(43223,7),(43224,2),(43225,2),(43226,4),(43227,3),(43228,7),(43229,8),(43230,2),(43231,2),(43232,8),(43233,7),(43234,7),(43235,2),(43236,4),(43237,3),(43238,3),(43239,2),(43240,7),(43241,4),(43242,2),(43243,6),(43244,9),(43245,8),(43246,7),(43247,9),(43248,3),(43249,8),(43250,8),(43251,2),(43252,9),(43253,2),(43254,9),(43255,9),(43256,3),(43257,4),(43258,7),(43259,2),(43260,6),(43261,4),(43262,4),(43263,4),(43264,1),(43265,3),(43266,2),(43267,2),(43268,3),(43269,3),(43270,2),(43271,7),(43272,4),(43273,3),(43274,4),(43275,9),(43276,4),(43277,4),(43278,6),(43279,4),(43280,4),(43281,6),(43282,1),(43283,7),(43284,6),(43285,5),(43286,3),(43287,3),(43288,7),(43289,5),(43290,7),(43291,7),(43292,4),(43293,5),(43294,1),(43295,9),(43296,9),(43297,5),(43298,7),(43299,2),(43300,3),(43301,9),(43302,8),(43303,3),(43304,5),(43305,7),(43306,5),(43307,9),(43308,6),(43309,1),(43310,7),(43311,3),(43312,8),(43313,9),(43314,9),(43315,5),(43316,1),(43317,4),(43318,3),(43319,4),(43320,4),(43321,8),(43322,9),(43323,5),(43324,4),(43325,9),(43326,2),(43327,9),(43328,3),(43329,9),(43330,7),(43331,7),(43332,9),(43333,4),(43334,1),(43335,6),(43336,3),(43337,3),(43338,5),(43339,5),(43340,9),(43341,9),(43342,7),(43343,4),(43344,9),(43345,8),(43346,7),(43347,3),(43348,2),(43349,4),(43350,7),(43351,8),(43352,9),(43353,7),(43354,3),(43355,9),(43356,6),(43357,7),(43358,9),(43359,5),(43360,3),(43361,5),(43362,4),(43363,2),(43364,6),(43365,2),(43366,4),(43367,5),(43368,7),(43369,4),(43370,9),(43371,9),(43372,4),(43373,2),(43374,2),(43375,7),(43376,3),(43377,8),(43378,5),(43379,8),(43380,8),(43381,5),(43382,6),(43383,9),(43384,9),(43385,2),(43386,6),(43387,7),(43388,9),(43389,4),(43390,9),(43391,5),(43392,1),(43393,8),(43394,4),(43395,7),(43396,9),(43397,7),(43398,5),(43399,8),(43400,1),(43401,6),(43402,5),(43403,7),(43404,3),(43405,2),(43406,6),(43407,7),(43408,3),(43409,4),(43410,2),(43411,3),(43412,6),(43413,9),(43414,2),(43415,7),(43416,5),(43417,4),(43418,7),(43419,2),(43420,5),(43421,9),(43422,6),(43423,9),(43424,2),(43425,3),(43426,9),(43427,7),(43428,8),(43429,9),(43430,8),(43431,7),(43432,8),(43433,1),(43434,8),(43435,5),(43436,5),(43437,7),(43438,9),(43439,8),(43440,9),(43441,5),(43442,6),(43443,8),(43444,5),(43445,7),(43446,3),(43447,7),(43448,7),(43449,5),(43450,9),(43451,3),(43452,4),(43453,4),(43454,3),(43455,1),(43456,9),(43457,2),(43458,8),(43459,7),(43460,9),(43461,8),(43462,2),(43463,8),(43464,4),(43465,9),(43466,9),(43467,9),(43468,8),(43469,7),(43470,9),(43471,2),(43472,2),(43473,9),(43474,4),(43475,4),(43476,9),(43477,8),(43478,8),(43479,7),(43480,1),(43481,7),(43482,4),(43483,8),(43484,5),(43485,8),(43486,8),(43487,4),(43488,4),(43489,2),(43490,7),(43491,4),(43492,2),(43493,3),(43494,9),(43495,1),(43496,7),(43497,8),(43498,8),(43499,7),(43500,2),(43501,3),(43502,3),(43503,3),(43504,5),(43505,5),(43506,2),(43507,3),(43508,2),(43509,9),(43510,5),(43511,8),(43512,8),(43513,2),(43514,8),(43515,7),(43516,1),(43517,9),(43518,5),(43519,4),(43520,5),(43521,2),(43522,7),(43523,9),(43524,7),(43525,5),(43526,6),(43527,2),(43528,8),(43529,7),(43530,3),(43531,7),(43532,2),(43533,6),(43534,2),(43535,1),(43536,1),(43537,5),(43538,3),(43539,5),(43540,6),(43541,9),(43542,2),(43543,5),(43544,2),(43545,4),(43546,4),(43547,9),(43548,2),(43549,7),(43550,3),(43551,2),(43552,2),(43553,5),(43554,3),(43555,4),(43556,4),(43557,2),(43558,6),(43559,4),(43560,5),(43561,1),(43562,7),(43563,4),(43564,4),(43565,3),(43566,9),(43567,2),(43568,4),(43569,1),(43570,6),(43571,6),(43572,9),(43573,6),(43574,8),(43575,1),(43576,2),(43577,2),(43578,8),(43579,6),(43580,3),(43581,4),(43582,6),(43583,7),(43584,3),(43585,1),(43586,5),(43587,6),(43588,6),(43589,2),(43590,3),(43591,1),(43592,8),(43593,6),(43594,7),(43595,7),(43596,8),(43597,4),(43598,7),(43599,4),(43600,8),(43601,8),(43602,5),(43603,3),(43604,2),(43605,3),(43606,1),(43607,6),(43608,4),(43609,7),(43610,5),(43611,6),(43612,1),(43613,5),(43614,4),(43615,1),(43616,3),(43617,6),(43618,6),(43619,8),(43620,2),(43621,2),(43622,5),(43623,1),(43624,3),(43625,6),(43626,8),(43627,6),(43628,9),(43629,2),(43630,3),(43631,2),(43632,9),(43633,7),(43634,5),(43635,5),(43636,7),(43637,1),(43638,3),(43639,4),(43640,4),(43641,9),(43642,4),(43643,7),(43644,9),(43645,1),(43646,3),(43647,2),(43648,3),(43649,7),(43650,5),(43651,1),(43652,3),(43653,8),(43654,6),(43655,7),(43656,7),(43657,7),(43658,8),(43659,6),(43660,3),(43661,3),(43662,4),(43663,3),(43664,7),(43665,4),(43666,3),(43667,4),(43668,7),(43669,9),(43670,5),(43671,8),(43672,4),(43673,2),(43674,7),(43675,4),(43676,1),(43677,2),(43678,6),(43679,3),(43680,9),(43681,7),(43682,1),(43683,4),(43684,9),(43685,3),(43686,8),(43687,9),(43688,7),(43689,6),(43690,8),(43691,9),(43692,9),(43693,8),(43694,8),(43695,9),(43696,6),(43697,6),(43698,8),(43699,4),(43700,7),(43701,6),(43702,5),(43703,9),(43704,7),(43705,1),(43706,1),(43707,2),(43708,4),(43709,4),(43710,4),(43711,8),(43712,7),(43713,6),(43714,1),(43715,7),(43716,4),(43717,9),(43718,1),(43719,1),(43720,1),(43721,3),(43722,6),(43723,8),(43724,7),(43725,2),(43726,4),(43727,1),(43728,4),(43729,9),(43730,9),(43731,1),(43732,1),(43733,6),(43734,3),(43735,6),(43736,7),(43737,2),(43738,1),(43739,6),(43740,9),(43741,7),(43742,5),(43743,1),(43744,7),(43745,1),(43746,7),(43747,8),(43748,7),(43749,4),(43750,1),(43751,6),(43752,5),(43753,9),(43754,6),(43755,6),(43756,1),(43757,1),(43758,4),(43759,3),(43760,4),(43761,4),(43762,7),(43763,9),(43764,8),(43765,6),(43766,4),(43767,4),(43768,9),(43769,2),(43770,8),(43771,5),(43772,9),(43773,3),(43774,4),(43775,2),(43776,1),(43777,1),(43778,7),(43779,4),(43780,3),(43781,4),(43782,3),(43783,3),(43784,2),(43785,1),(43786,9),(43787,4),(43788,4),(43789,5),(43790,1),(43791,6),(43792,5),(43793,5),(43794,7),(43795,9),(43796,6),(43797,9),(43798,5),(43799,4),(43800,2),(43801,3),(43802,5),(43803,6),(43804,8),(43805,5),(43806,5),(43807,3),(43808,6),(43809,5),(43810,1),(43811,4),(43812,7),(43813,7),(43814,9),(43815,4),(43816,7),(43817,6),(43818,5),(43819,5),(43820,5),(43821,8),(43822,1),(43823,8),(43824,9),(43825,3),(43826,3),(43827,2),(43828,6),(43829,4),(43830,8),(43831,8),(43832,1),(43833,5),(43834,4),(43835,2),(43836,3),(43837,2),(43838,9),(43839,2),(43840,8),(43841,1),(43842,3),(43843,2),(43844,3),(43845,8),(43846,3),(43847,1),(43848,7),(43849,1),(43850,4),(43851,7),(43852,1),(43853,6),(43854,4),(43855,1),(43856,1),(43857,1),(43858,3),(43859,6),(43860,4),(43861,5),(43862,2),(43863,7),(43864,9),(43865,2),(43866,9),(43867,5),(43868,5),(43869,1),(43870,4),(43871,5),(43872,3),(43873,7),(43874,3),(43875,7),(43876,5),(43877,3),(43878,4),(43879,7),(43880,3),(43881,6),(43882,2),(43883,3),(43884,3),(43885,6),(43886,9),(43887,4),(43888,4),(43889,8),(43890,7),(43891,2),(43892,9),(43893,9),(43894,6),(43895,1),(43896,5),(43897,2),(43898,9),(43899,3),(43900,6),(43901,8),(43902,7),(43903,5),(43904,3),(43905,9),(43906,5),(43907,6),(43908,3),(43909,6),(43910,1),(43911,4),(43912,3),(43913,4),(43914,6),(43915,7),(43916,5),(43917,3),(43918,2),(43919,9),(43920,5),(43921,1),(43922,3),(43923,3),(43924,5),(43925,5),(43926,8),(43927,7),(43928,1),(43929,4),(43930,3),(43931,3),(43932,6),(43933,6),(43934,2),(43935,2),(43936,4),(43937,2),(43938,9),(43939,8),(43940,3),(43941,6),(43942,3),(43943,8),(43944,2),(43945,8),(43946,4),(43947,3),(43948,8),(43949,4),(43950,2),(43951,4),(43952,7),(43953,8),(43954,6),(43955,8),(43956,7),(43957,1),(43958,5),(43959,7),(43960,5),(43961,8),(43962,5),(43963,2),(43964,1),(43965,7),(43966,6),(43967,2),(43968,4),(43969,4),(43970,5),(43971,7),(43972,4),(43973,3),(43974,3),(43975,1),(43976,5),(43977,2),(43978,4),(43979,5),(43980,4),(43981,1),(43982,8),(43983,2),(43984,3),(43985,8),(43986,2),(43987,9),(43988,8),(43989,6),(43990,6),(43991,6),(43992,6),(43993,3),(43994,1),(43995,9),(43996,9),(43997,8),(43998,7),(43999,6),(44000,8),(44001,3),(44002,1),(44003,5),(44004,4),(44005,9),(44006,6),(44007,2),(44008,6),(44009,9),(44010,9),(44011,5),(44012,7),(44013,9),(44014,2),(44015,3),(44016,3),(44017,1),(44018,5),(44019,8),(44020,8),(44021,8),(44022,8),(44023,7),(44024,5),(44025,9),(44026,1),(44027,2),(44028,3),(44029,5),(44030,5),(44031,2),(44032,8),(44033,1),(44034,9),(44035,4),(44036,6),(44037,9),(44038,3),(44039,2),(44040,1),(44041,7),(44042,9),(44043,2),(44044,3),(44045,2),(44046,4),(44047,5),(44048,5),(44049,4),(44050,6),(44051,2),(44052,7),(44053,5),(44054,5),(44055,7),(44056,4),(44057,9),(44058,4),(44059,6),(44060,6),(44061,4),(44062,9),(44063,4),(44064,3),(44065,4),(44066,4),(44067,9),(44068,7),(44069,6),(44070,8),(44071,7),(44072,4),(44073,4),(44074,5),(44075,5),(44076,3),(44077,9),(44078,2),(44079,7),(44080,2),(44081,8),(44082,1),(44083,7),(44084,9),(44085,7),(44086,1),(44087,1),(44088,9),(44089,2),(44090,3),(44091,3),(44092,1),(44093,3),(44094,1),(44095,5),(44096,6),(44097,8),(44098,9),(44099,3),(44100,4),(44101,8),(44102,6),(44103,3),(44104,9),(44105,4),(44106,3),(44107,3),(44108,4),(44109,8),(44110,9),(44111,8),(44112,5),(44113,1),(44114,2),(44115,4),(44116,4),(44117,9),(44118,9),(44119,3),(44120,1),(44121,3),(44122,8),(44123,7),(44124,4),(44125,1),(44126,4),(44127,3),(44128,9),(44129,1),(44130,1),(44131,4),(44132,8),(44133,1),(44134,3),(44135,9),(44136,4),(44137,2),(44138,6),(44139,2),(44140,8),(44141,4),(44142,8),(44143,4),(44144,8),(44145,2),(44146,9),(44147,9),(44148,2),(44149,1),(44150,1),(44151,6),(44152,3),(44153,1),(44154,5),(44155,4),(44156,7),(44157,1),(44158,2),(44159,5),(44160,3),(44161,5),(44162,2),(44163,1),(44164,4),(44165,3),(44166,5),(44167,8),(44168,2),(44169,9),(44170,5),(44171,9),(44172,5),(44173,8),(44174,5),(44175,6),(44176,5),(44177,9),(44178,5),(44179,8),(44180,1),(44181,5),(44182,7),(44183,9),(44184,2),(44185,4),(44186,7),(44187,4),(44188,1),(44189,4),(44190,6),(44191,6),(44192,5),(44193,2),(44194,6),(44195,6),(44196,9),(44197,7),(44198,8),(44199,8),(44200,3),(44201,4),(44202,4),(44203,5),(44204,6),(44205,3),(44206,9),(44207,7),(44208,5),(44209,9),(44210,2),(44211,3),(44212,7),(44213,6),(44214,5),(44215,7),(44216,8),(44217,9),(44218,5),(44219,8),(44220,7),(44221,4),(44222,4),(44223,4),(44224,5),(44225,3),(44226,5),(44227,1),(44228,5),(44229,9),(44230,2),(44231,8),(44232,4),(44233,2),(44234,8),(44235,5),(44236,6),(44237,6),(44238,7),(44239,3),(44240,9),(44241,6),(44242,4),(44243,6),(44244,6),(44245,6),(44246,1),(44247,2),(44248,6),(44249,8),(44250,8),(44251,6),(44252,9),(44253,2),(44254,2),(44255,5),(44256,4),(44257,3),(44258,3),(44259,9),(44260,3),(44261,1),(44262,2),(44263,9),(44264,3),(44265,5),(44266,8),(44267,9),(44268,3),(44269,6),(44270,4),(44271,8),(44272,5),(44273,9),(44274,1),(44275,9),(44276,7),(44277,7),(44278,4),(44279,9),(44280,9),(44281,9),(44282,5),(44283,1),(44284,2),(44285,3),(44286,2),(44287,3),(44288,9),(44289,6),(44290,1),(44291,8),(44292,9),(44293,8),(44294,7),(44295,2),(44296,5),(44297,6),(44298,8),(44299,6),(44300,2),(44301,8),(44302,4),(44303,7),(44304,9),(44305,7),(44306,9),(44307,8),(44308,7),(44309,8),(44310,4),(44311,2),(44312,1),(44313,8),(44314,2),(44315,4),(44316,8),(44317,7),(44318,1),(44319,7),(44320,1),(44321,3),(44322,9),(44323,1),(44324,5),(44325,1),(44326,5),(44327,1),(44328,1),(44329,3),(44330,6),(44331,8),(44332,8),(44333,1),(44334,1),(44335,2),(44336,8),(44337,8),(44338,2),(44339,7),(44340,1),(44341,3),(44342,9),(44343,1),(44344,3),(44345,3),(44346,5),(44347,6),(44348,3),(44349,4),(44350,3),(44351,4),(44352,6),(44353,8),(44354,2),(44355,1),(44356,3),(44357,8),(44358,9),(44359,5),(44360,2),(44361,2),(44362,6),(44363,1),(44364,3),(44365,4),(44366,1),(44367,3),(44368,3),(44369,8),(44370,7),(44371,7),(44372,3),(44373,7),(44374,6),(44375,7),(44376,6),(44377,1),(44378,8),(44379,2),(44380,1),(44381,1),(44382,6),(44383,4),(44384,5),(44385,3),(44386,6),(44387,2),(44388,1),(44389,3),(44390,9),(44391,6),(44392,2),(44393,3),(44394,9),(44395,7),(44396,6),(44397,2),(44398,7),(44399,2),(44400,2),(44401,2),(44402,4),(44403,6),(44404,6),(44405,9),(44406,8),(44407,7),(44408,5),(44409,6),(44410,7),(44411,4),(44412,8),(44413,2),(44414,6),(44415,3),(44416,2),(44417,2),(44418,9),(44419,5),(44420,6),(44421,4),(44422,8),(44423,4),(44424,5),(44425,1),(44426,4),(44427,2),(44428,8),(44429,2),(44430,3),(44431,5),(44432,3),(44433,3),(44434,8),(44435,9),(44436,8),(44437,7),(44438,2),(44439,4),(44440,7),(44441,2),(44442,6),(44443,4),(44444,4),(44445,1),(44446,3),(44447,1),(44448,9),(44449,7),(44450,5),(44451,8),(44452,4),(44453,8),(44454,6),(44455,4),(44456,5),(44457,4),(44458,9),(44459,3),(44460,9),(44461,7),(44462,2),(44463,6),(44464,9),(44465,8),(44466,9),(44467,1),(44468,8),(44469,5),(44470,8),(44471,2),(44472,8),(44473,6),(44474,7),(44475,5),(44476,6),(44477,1),(44478,7),(44479,8),(44480,9),(44481,9),(44482,7),(44483,5),(44484,6),(44485,9),(44486,6),(44487,2),(44488,5),(44489,7),(44490,7),(44491,8),(44492,3),(44493,7),(44494,1),(44495,6),(44496,7),(44497,7),(44498,5),(44499,3),(44500,8),(44501,5),(44502,2),(44503,9),(44504,5),(44505,5),(44506,2),(44507,1),(44508,1),(44509,1),(44510,5),(44511,7),(44512,1),(44513,3),(44514,1),(44515,8),(44516,4),(44517,1),(44518,3),(44519,6),(44520,2),(44521,7),(44522,4),(44523,1),(44524,5),(44525,1),(44526,4),(44527,1),(44528,6),(44529,5),(44530,7),(44531,9),(44532,2),(44533,8),(44534,4),(44535,8),(44536,8),(44537,4),(44538,1),(44539,3),(44540,2),(44541,3),(44542,8),(44543,2),(44544,6),(44545,4),(44546,7),(44547,4),(44548,3),(44549,1),(44550,2),(44551,1),(44552,3),(44553,5),(44554,4),(44555,3),(44556,2),(44557,4),(44558,2),(44559,4),(44560,3),(44561,4),(44562,3),(44563,9),(44564,8),(44565,2),(44566,7),(44567,5),(44568,5),(44569,3),(44570,2),(44571,3),(44572,1),(44573,4),(44574,8),(44575,9),(44576,8),(44577,8),(44578,1),(44579,4),(44580,8),(44581,6),(44582,6),(44583,7),(44584,8),(44585,4),(44586,8),(44587,9),(44588,4),(44589,1),(44590,2),(44591,8),(44592,7),(44593,8),(44594,2),(44595,6),(44596,9),(44597,8),(44598,2),(44599,9),(44600,8),(44601,6),(44602,9),(44603,9),(44604,6),(44605,7),(44606,3),(44607,4),(44608,4),(44609,2),(44610,7),(44611,1),(44612,5),(44613,1),(44614,9),(44615,3),(44616,3),(44617,1),(44618,7),(44619,7),(44620,7),(44621,5),(44622,7),(44623,2),(44624,4),(44625,9),(44626,5),(44627,3),(44628,9),(44629,4),(44630,6),(44631,1),(44632,7),(44633,6),(44634,9),(44635,4),(44636,1),(44637,3),(44638,3),(44639,2),(44640,8),(44641,1),(44642,8),(44643,7),(44644,4),(44645,9),(44646,2),(44647,1),(44648,5),(44649,6),(44650,3),(44651,8),(44652,2),(44653,3),(44654,4),(44655,9),(44656,5),(44657,1),(44658,5),(44659,4),(44660,9),(44661,1),(44662,5),(44663,5),(44664,3),(44665,9),(44666,7),(44667,8),(44668,1),(44669,2),(44670,5),(44671,8),(44672,8),(44673,1),(44674,9),(44675,7),(44676,9),(44677,5),(44678,1),(44679,4),(44680,8),(44681,3),(44682,8),(44683,7),(44684,9),(44685,6),(44686,5),(44687,9),(44688,5),(44689,7),(44690,4),(44691,2),(44692,4),(44693,3),(44694,1),(44695,2),(44696,6),(44697,2),(44698,7),(44699,9),(44700,9),(44701,4),(44702,7),(44703,1),(44704,9),(44705,3),(44706,7),(44707,9),(44708,3),(44709,9),(44710,4),(44711,9),(44712,5),(44713,6),(44714,1),(44715,8),(44716,9),(44717,6),(44718,3),(44719,2),(44720,1),(44721,9),(44722,1),(44723,2),(44724,9),(44725,5),(44726,7),(44727,1),(44728,4),(44729,7),(44730,6),(44731,2),(44732,3),(44733,9),(44734,2),(44735,4),(44736,9),(44737,9),(44738,1),(44739,1),(44740,5),(44741,3),(44742,4),(44743,2),(44744,8),(44745,3),(44746,1),(44747,3),(44748,9),(44749,9),(44750,2),(44751,7),(44752,5),(44753,3),(44754,8),(44755,1),(44756,5),(44757,8),(44758,8),(44759,8),(44760,1),(44761,6),(44762,9),(44763,7),(44764,3),(44765,9),(44766,8),(44767,1),(44768,1),(44769,5),(44770,7),(44771,2),(44772,9),(44773,9),(44774,4),(44775,5),(44776,4),(44777,1),(44778,3),(44779,5),(44780,4),(44781,4),(44782,2),(44783,7),(44784,4),(44785,1),(44786,9),(44787,7),(44788,3),(44789,5),(44790,9),(44791,8),(44792,5),(44793,1),(44794,4),(44795,8),(44796,2),(44797,3),(44798,3),(44799,7),(44800,4),(44801,4),(44802,3),(44803,3),(44804,6),(44805,8),(44806,3),(44807,9),(44808,2),(44809,5),(44810,9),(44811,6),(44812,8),(44813,6),(44814,6),(44815,7),(44816,2),(44817,5),(44818,9),(44819,3),(44820,6),(44821,2),(44822,1),(44823,8),(44824,3),(44825,1),(44826,4),(44827,3),(44828,5),(44829,7),(44830,4),(44831,6),(44832,3),(44833,3),(44834,9),(44835,6),(44836,9),(44837,7),(44838,4),(44839,2),(44840,4),(44841,5),(44842,6),(44843,6),(44844,9),(44845,9),(44846,5),(44847,6),(44848,1),(44849,5),(44850,3),(44851,8),(44852,4),(44853,7),(44854,3),(44855,1),(44856,9),(44857,2),(44858,2),(44859,3),(44860,9),(44861,7),(44862,5),(44863,7),(44864,5),(44865,3),(44866,9),(44867,7),(44868,1),(44869,1),(44870,3),(44871,4),(44872,8),(44873,1),(44874,2),(44875,7),(44876,6),(44877,1),(44878,3),(44879,7),(44880,4),(44881,2),(44882,5),(44883,7),(44884,4),(44885,1),(44886,7),(44887,1),(44888,3),(44889,1),(44890,4),(44891,2),(44892,2),(44893,4),(44894,1),(44895,4),(44896,5),(44897,8),(44898,2),(44899,9),(44900,4),(44901,8),(44902,4),(44903,5),(44904,5),(44905,8),(44906,3),(44907,6),(44908,8),(44909,1),(44910,3),(44911,2),(44912,5),(44913,2),(44914,8),(44915,8),(44916,3),(44917,2),(44918,1),(44919,2),(44920,8),(44921,5),(44922,7),(44923,9),(44924,2),(44925,5),(44926,6),(44927,1),(44928,3),(44929,8),(44930,9),(44931,3),(44932,6),(44933,1),(44934,2),(44935,9),(44936,8),(44937,6),(44938,2),(44939,2),(44940,6),(44941,3),(44942,4),(44943,4),(44944,8),(44945,4),(44946,7),(44947,7),(44948,3),(44949,6),(44950,9),(44951,8),(44952,8),(44953,4),(44954,1),(44955,2),(44956,4),(44957,3),(44958,5),(44959,4),(44960,4),(44961,8),(44962,6),(44963,7),(44964,6),(44965,4),(44966,2),(44967,6),(44968,4),(44969,4),(44970,4),(44971,2),(44972,4),(44973,5),(44974,3),(44975,6),(44976,8),(44977,5),(44978,4),(44979,2),(44980,2),(44981,2),(44982,2),(44983,6),(44984,5),(44985,4),(44986,1),(44987,5),(44988,2),(44989,7),(44990,8),(44991,1),(44992,3),(44993,7),(44994,2),(44995,8),(44996,2),(44997,6),(44998,6),(44999,3),(45000,1),(45001,5),(45002,6),(45003,1),(45004,7),(45005,5),(45006,8),(45007,7),(45008,9),(45009,9),(45010,7),(45011,8),(45012,2),(45013,4),(45014,5),(45015,6),(45016,7),(45017,7),(45018,4),(45019,9),(45020,3),(45021,6),(45022,6),(45023,4),(45024,4),(45025,4),(45026,6),(45027,8),(45028,2),(45029,3),(45030,5),(45031,1),(45032,9),(45033,8),(45034,4),(45035,1),(45036,5),(45037,8),(45038,1),(45039,6),(45040,6),(45041,4),(45042,8),(45043,3),(45044,9),(45045,9),(45046,7),(45047,7),(45048,3),(45049,5),(45050,6),(45051,8),(45052,4),(45053,3),(45054,3),(45055,3),(45056,4),(45057,6),(45058,6),(45059,9),(45060,2),(45061,9),(45062,7),(45063,9),(45064,9),(45065,6),(45066,4),(45067,4),(45068,9),(45069,8),(45070,3),(45071,3),(45072,3),(45073,5),(45074,9),(45075,9),(45076,6),(45077,7),(45078,7),(45079,6),(45080,6),(45081,1),(45082,3),(45083,4),(45084,1),(45085,1),(45086,8),(45087,5),(45088,4),(45089,8),(45090,3),(45091,6),(45092,7),(45093,9),(45094,9),(45095,9),(45096,6),(45097,5),(45098,4),(45099,6),(45100,5),(45101,6),(45102,9),(45103,7),(45104,8),(45105,4),(45106,7),(45107,7),(45108,8),(45109,1),(45110,7),(45111,2),(45112,6),(45113,7),(45114,4),(45115,1),(45116,6),(45117,3),(45118,5),(45119,4),(45120,1),(45121,9),(45122,3),(45123,7),(45124,8),(45125,8),(45126,1),(45127,8),(45128,2),(45129,4),(45130,5),(45131,8),(45132,2),(45133,5),(45134,1),(45135,3),(45136,1),(45137,5),(45138,7),(45139,5),(45140,5),(45141,8),(45142,9),(45143,3),(45144,5),(45145,4),(45146,6),(45147,2),(45148,5),(45149,4),(45150,3),(45151,4),(45152,6),(45153,1),(45154,5),(45155,9),(45156,3),(45157,9),(45158,7),(45159,7),(45160,1),(45161,9),(45162,4),(45163,3),(45164,3),(45165,4),(45166,1),(45167,9),(45168,9),(45169,2),(45170,1),(45171,2),(45172,6),(45173,1),(45174,7),(45175,9),(45176,8),(45177,4),(45178,8),(45179,9),(45180,9),(45181,3),(45182,5),(45183,3),(45184,8),(45185,1),(45186,5),(45187,6),(45188,4),(45189,6),(45190,8),(45191,1),(45192,3),(45193,8),(45194,7),(45195,6),(45196,6),(45197,8),(45198,2),(45199,8),(45200,2),(45201,1),(45202,1),(45203,6),(45204,3),(45205,7),(45206,2),(45207,6),(45208,9),(45209,1),(45210,9),(45211,9),(45212,4),(45213,2),(45214,3),(45215,1),(45216,7),(45217,9),(45218,9),(45219,2),(45220,5),(45221,6),(45222,6),(45223,6),(45224,5),(45225,7),(45226,1),(45227,6),(45228,5),(45229,5),(45230,2),(45231,4),(45232,9),(45233,9),(45234,9),(45235,5),(45236,8),(45237,5),(45238,7),(45239,4),(45240,1),(45241,1),(45242,5),(45243,2),(45244,7),(45245,3),(45246,3),(45247,8),(45248,4),(45249,6),(45250,3),(45251,2),(45252,2),(45253,2),(45254,3),(45255,6),(45256,7),(45257,6),(45258,8),(45259,7),(45260,9),(45261,5),(45262,5),(45263,3),(45264,3),(45265,5),(45266,2),(45267,1),(45268,7),(45269,1),(45270,7),(45271,3),(45272,8),(45273,7),(45274,1),(45275,7),(45276,5),(45277,4),(45278,8),(45279,1),(45280,6),(45281,8),(45282,1),(45283,9),(45284,7),(45285,5),(45286,5),(45287,1),(45288,7),(45289,5),(45290,7),(45291,2),(45292,8),(45293,5),(45294,2),(45295,6),(45296,4),(45297,8),(45298,3),(45299,6),(45300,9),(45301,9),(45302,4),(45303,7),(45304,5),(45305,6),(45306,3),(45307,4),(45308,8),(45309,9),(45310,6),(45311,1),(45312,8),(45313,4),(45314,1),(45315,2),(45316,9),(45317,1),(45318,6),(45319,6),(45320,9),(45321,6),(45322,5),(45323,3),(45324,6),(45325,4),(45326,7),(45327,8),(45328,8),(45329,3),(45330,2),(45331,9),(45332,7),(45333,4),(45334,5),(45335,6),(45336,3),(45337,2),(45338,5),(45339,8),(45340,9),(45341,5),(45342,8),(45343,2),(45344,1),(45345,3),(45346,6),(45347,3),(45348,4),(45349,8),(45350,9),(45351,8),(45352,7),(45353,3),(45354,1),(45355,2),(45356,4),(45357,1),(45358,6),(45359,7),(45360,5),(45361,9),(45362,1),(45363,5),(45364,8),(45365,8),(45366,1),(45367,4),(45368,9),(45369,6),(45370,7),(45371,2),(45372,7),(45373,8),(45374,1),(45375,3),(45376,4),(45377,9),(45378,9),(45379,9),(45380,1),(45381,6),(45382,4),(45383,6),(45384,3),(45385,3),(45386,2),(45387,1),(45388,6),(45389,6),(45390,3),(45391,2),(45392,9),(45393,5),(45394,4),(45395,2),(45396,4),(45397,8),(45398,9),(45399,2),(45400,6),(45401,8),(45402,7),(45403,5),(45404,9),(45405,4),(45406,9),(45407,3),(45408,7),(45409,8),(45410,3),(45411,3),(45412,4),(45413,2),(45414,2),(45415,5),(45416,9),(45417,6),(45418,9),(45419,5),(45420,5),(45421,1),(45422,1),(45423,7),(45424,8),(45425,3),(45426,7),(45427,2),(45428,9),(45429,3),(45430,9),(45431,8),(45432,9),(45433,4),(45434,6),(45435,5),(45436,2),(45437,4),(45438,1),(45439,8),(45440,5),(45441,9),(45442,4),(45443,2),(45444,4),(45445,4),(45446,3),(45447,8),(45448,7),(45449,6),(45450,1),(45451,8),(45452,3),(45453,1),(45454,2),(45455,1),(45456,3),(45457,8),(45458,9),(45459,2),(45460,2),(45461,6),(45462,8),(45463,4),(45464,2),(45465,3),(45466,9),(45467,1),(45468,3),(45469,8),(45470,6),(45471,3),(45472,9),(45473,8),(45474,1),(45475,1),(45476,2),(45477,6),(45478,1),(45479,3),(45480,5),(45481,4),(45482,8),(45483,5),(45484,2),(45485,5),(45486,2),(45487,6),(45488,5),(45489,6),(45490,2),(45491,2),(45492,6),(45493,3),(45494,5),(45495,1),(45496,4),(45497,5),(45498,5),(45499,2),(45500,8),(45501,2),(45502,2),(45503,6),(45504,7),(45505,8),(45506,2),(45507,1),(45508,6),(45509,6),(45510,9),(45511,1),(45512,2),(45513,9),(45514,3),(45515,3),(45516,6),(45517,9),(45518,6),(45519,8),(45520,6),(45521,9),(45522,9),(45523,2),(45524,7),(45525,8),(45526,6),(45527,7),(45528,2),(45529,1),(45530,1),(45531,9),(45532,1),(45533,9),(45534,1),(45535,7),(45536,8),(45537,5),(45538,7),(45539,5),(45540,2),(45541,2),(45542,9),(45543,8),(45544,4),(45545,3),(45546,5),(45547,3),(45548,1),(45549,3),(45550,5),(45551,5),(45552,3),(45553,4),(45554,5),(45555,4),(45556,8),(45557,1),(45558,1),(45559,4),(45560,9),(45561,6),(45562,5),(45563,1),(45564,8),(45565,6),(45566,7),(45567,9),(45568,7),(45569,7),(45570,3),(45571,8),(45572,4),(45573,4),(45574,9),(45575,3),(45576,8),(45577,6),(45578,6),(45579,4),(45580,6),(45581,4),(45582,6),(45583,9),(45584,8),(45585,8),(45586,4),(45587,2),(45588,5),(45589,3),(45590,5),(45591,4),(45592,6),(45593,8),(45594,5),(45595,7),(45596,9),(45597,5),(45598,4),(45599,6),(45600,2),(45601,4),(45602,1),(45603,9),(45604,6),(45605,9),(45606,9),(45607,4),(45608,3),(45609,6),(45610,2),(45611,9),(45612,8),(45613,5),(45614,8),(45615,8),(45616,1),(45617,4),(45618,2),(45619,5),(45620,9),(45621,8),(45622,1),(45623,1),(45624,9),(45625,9),(45626,6),(45627,7),(45628,9),(45629,6),(45630,6),(45631,5),(45632,2),(45633,2),(45634,8),(45635,9),(45636,5),(45637,9),(45638,3),(45639,2),(45640,4),(45641,8),(45642,4),(45643,8),(45644,9),(45645,7),(45646,5),(45647,8),(45648,8),(45649,9),(45650,4),(45651,6),(45652,6),(45653,7),(45654,6),(45655,2),(45656,8),(45657,9),(45658,7),(45659,8),(45660,8),(45661,1),(45662,3),(45663,7),(45664,1),(45665,3),(45666,4),(45667,3),(45668,1),(45669,8),(45670,6),(45671,5),(45672,8),(45673,2),(45674,2),(45675,2),(45676,7),(45677,1),(45678,5),(45679,2),(45680,5),(45681,2),(45682,7),(45683,7),(45684,6),(45685,6),(45686,4),(45687,3),(45688,7),(45689,6),(45690,4),(45691,8),(45692,5),(45693,6),(45694,7),(45695,6),(45696,2),(45697,1),(45698,2),(45699,4),(45700,5),(45701,5),(45702,7),(45703,9),(45704,3),(45705,4),(45706,9),(45707,8),(45708,3),(45709,6),(45710,8),(45711,3),(45712,1),(45713,9),(45714,5),(45715,8),(45716,4),(45717,3),(45718,6),(45719,6),(45720,4),(45721,6),(45722,8),(45723,2),(45724,1),(45725,6),(45726,2),(45727,6),(45728,5),(45729,9),(45730,9),(45731,7),(45732,1),(45733,6),(45734,8),(45735,5),(45736,6),(45737,9),(45738,7),(45739,2),(45740,3),(45741,9),(45742,7),(45743,6),(45744,5),(45745,1),(45746,9),(45747,4),(45748,1),(45749,2),(45750,4),(45751,4),(45752,6),(45753,6),(45754,6),(45755,1),(45756,8),(45757,8),(45758,6),(45759,3),(45760,2),(45761,3),(45762,4),(45763,6),(45764,9),(45765,9),(45766,9),(45767,6),(45768,7),(45769,9),(45770,9),(45771,9),(45772,5),(45773,5),(45774,6),(45775,4),(45776,7),(45777,3),(45778,8),(45779,5),(45780,3),(45781,4),(45782,6),(45783,2),(45784,3),(45785,1),(45786,2),(45787,1),(45788,9),(45789,2),(45790,4),(45791,2),(45792,9),(45793,1),(45794,8),(45795,4),(45796,1),(45797,2),(45798,7),(45799,6),(45800,2),(45801,4),(45802,9),(45803,9),(45804,3),(45805,9),(45806,2),(45807,9),(45808,8),(45809,4),(45810,1),(45811,1),(45812,5),(45813,6),(45814,1),(45815,4),(45816,6),(45817,8),(45818,2),(45819,4),(45820,8),(45821,8),(45822,8),(45823,8),(45824,5),(45825,7),(45826,9),(45827,8),(45828,6),(45829,7),(45830,4),(45831,5),(45832,3),(45833,5),(45834,4),(45835,6),(45836,9),(45837,5),(45838,6),(45839,5),(45840,6),(45841,8),(45842,5),(45843,4),(45844,6),(45845,2),(45846,7),(45847,3),(45848,7),(45849,6),(45850,6),(45851,8),(45852,9),(45853,9),(45854,9),(45855,9),(45856,9),(45857,3),(45858,8),(45859,4),(45860,7),(45861,3),(45862,4),(45863,9),(45864,7),(45865,9),(45866,9),(45867,2),(45868,2),(45869,3),(45870,4),(45871,4),(45872,6),(45873,6),(45874,2),(45875,6),(45876,7),(45877,1),(45878,4),(45879,5),(45880,3),(45881,7),(45882,1),(45883,9),(45884,6),(45885,4),(45886,7),(45887,8),(45888,9),(45889,3),(45890,2),(45891,9),(45892,9),(45893,7),(45894,4),(45895,5),(45896,9),(45897,7),(45898,2),(45899,8),(45900,3),(45901,2),(45902,2),(45903,6),(45904,9),(45905,2),(45906,9),(45907,6),(45908,8),(45909,1),(45910,3),(45911,2),(45912,5),(45913,4),(45914,8),(45915,7),(45916,5),(45917,3),(45918,1),(45919,4),(45920,4),(45921,9),(45922,5),(45923,7),(45924,2),(45925,8),(45926,8),(45927,9),(45928,2),(45929,6),(45930,3),(45931,8),(45932,3),(45933,4),(45934,1),(45935,1),(45936,4),(45937,6),(45938,1),(45939,8),(45940,5),(45941,7),(45942,6),(45943,6),(45944,9),(45945,4),(45946,6),(45947,4),(45948,9),(45949,2),(45950,5),(45951,4),(45952,1),(45953,3),(45954,5),(45955,5),(45956,3),(45957,6),(45958,7),(45959,5),(45960,4),(45961,6),(45962,3),(45963,9),(45964,2),(45965,6),(45966,5),(45967,2),(45968,4),(45969,5),(45970,4),(45971,8),(45972,5),(45973,1),(45974,1),(45975,4),(45976,6),(45977,4),(45978,2),(45979,4),(45980,2),(45981,8),(45982,8),(45983,1),(45984,9),(45985,3),(45986,3),(45987,1),(45988,8),(45989,8),(45990,1),(45991,6),(45992,6),(45993,1),(45994,3),(45995,6),(45996,2),(45997,9),(45998,9),(45999,7),(46000,4),(46001,6),(46002,2),(46003,4),(46004,7),(46005,7),(46006,1),(46007,8),(46008,5),(46009,4),(46010,3),(46011,2),(46012,3),(46013,4),(46014,5),(46015,9),(46016,2),(46017,3),(46018,9),(46019,5),(46020,4),(46021,5),(46022,7),(46023,6),(46024,5),(46025,2),(46026,7),(46027,3),(46028,7),(46029,3),(46030,3),(46031,8),(46032,1),(46033,8),(46034,3),(46035,3),(46036,1),(46037,6),(46038,6),(46039,7),(46040,4),(46041,6),(46042,4),(46043,8),(46044,8),(46045,2),(46046,1),(46047,3),(46048,2),(46049,5),(46050,8),(46051,9),(46052,6),(46053,7),(46054,5),(46055,9),(46056,1),(46057,5),(46058,4),(46059,5),(46060,8),(46061,9),(46062,2),(46063,5),(46064,5),(46065,9),(46066,8),(46067,9),(46068,2),(46069,5),(46070,9),(46071,4),(46072,1),(46073,8),(46074,6),(46075,1),(46076,8),(46077,2),(46078,8),(46079,3),(46080,6),(46081,4),(46082,9),(46083,5),(46084,2),(46085,8),(46086,6),(46087,2),(46088,7),(46089,5),(46090,5),(46091,5),(46092,6),(46093,2),(46094,7),(46095,5),(46096,1),(46097,6),(46098,1),(46099,6),(46100,9),(46101,9),(46102,3),(46103,8),(46104,4),(46105,4),(46106,4),(46107,9),(46108,4),(46109,9),(46110,5),(46111,5),(46112,2),(46113,9),(46114,7),(46115,9),(46116,6),(46117,3),(46118,2),(46119,2),(46120,1),(46121,6),(46122,4),(46123,5),(46124,1),(46125,2),(46126,6),(46127,6),(46128,3),(46129,3),(46130,2),(46131,1),(46132,1),(46133,7),(46134,4),(46135,4),(46136,2),(46137,8),(46138,9),(46139,9),(46140,9),(46141,2),(46142,9),(46143,8),(46144,3),(46145,5),(46146,6),(46147,2),(46148,7),(46149,2),(46150,7),(46151,7),(46152,1),(46153,8),(46154,9),(46155,5),(46156,3),(46157,2),(46158,9),(46159,3),(46160,4),(46161,8),(46162,2),(46163,5),(46164,6),(46165,2),(46166,6),(46167,4),(46168,8),(46169,7),(46170,7),(46171,1),(46172,7),(46173,3),(46174,7),(46175,8),(46176,9),(46177,8),(46178,7),(46179,6),(46180,9),(46181,1),(46182,6),(46183,9),(46184,7),(46185,1),(46186,9),(46187,1),(46188,3),(46189,9),(46190,1),(46191,7),(46192,9),(46193,2),(46194,9),(46195,9),(46196,4),(46197,1),(46198,7),(46199,1),(46200,3),(46201,2),(46202,9),(46203,9),(46204,4),(46205,6),(46206,7),(46207,4),(46208,3),(46209,6),(46210,3),(46211,1),(46212,9),(46213,2),(46214,9),(46215,3),(46216,1),(46217,8),(46218,9),(46219,6),(46220,7),(46221,1),(46222,9),(46223,9),(46224,5),(46225,1),(46226,1),(46227,2),(46228,9),(46229,8),(46230,4),(46231,5),(46232,7),(46233,6),(46234,9),(46235,5),(46236,9),(46237,4),(46238,6),(46239,4),(46240,2),(46241,4),(46242,7),(46243,2),(46244,1),(46245,9),(46246,3),(46247,1),(46248,3),(46249,7),(46250,8),(46251,7),(46252,2),(46253,4),(46254,7),(46255,3),(46256,4),(46257,3),(46258,9),(46259,6),(46260,5),(46261,7),(46262,2),(46263,9),(46264,7),(46265,5),(46266,9),(46267,4),(46268,2),(46269,8),(46270,1),(46271,1),(46272,5),(46273,9),(46274,4),(46275,5),(46276,3),(46277,9),(46278,3),(46279,9),(46280,7),(46281,2),(46282,9),(46283,5),(46284,7),(46285,4),(46286,4),(46287,8),(46288,5),(46289,9),(46290,2),(46291,7),(46292,9),(46293,8),(46294,5),(46295,8),(46296,8),(46297,5),(46298,6),(46299,8),(46300,7),(46301,9),(46302,2),(46303,9),(46304,1),(46305,1),(46306,1),(46307,4),(46308,8),(46309,1),(46310,3),(46311,1),(46312,7),(46313,3),(46314,9),(46315,7),(46316,9),(46317,2),(46318,4),(46319,5),(46320,9),(46321,8),(46322,1),(46323,6),(46324,3),(46325,9),(46326,9),(46327,8),(46328,9),(46329,5),(46330,3),(46331,2),(46332,4),(46333,6),(46334,5),(46335,5),(46336,5),(46337,2),(46338,9),(46339,1),(46340,1),(46341,9),(46342,3),(46343,6),(46344,6),(46345,7),(46346,6),(46347,5),(46348,1),(46349,5),(46350,7),(46351,6),(46352,7),(46353,7),(46354,8),(46355,6),(46356,6),(46357,1),(46358,3),(46359,8),(46360,5),(46361,9),(46362,6),(46363,1),(46364,4),(46365,7),(46366,8),(46367,2),(46368,3),(46369,4),(46370,7),(46371,5),(46372,3),(46373,9),(46374,6),(46375,4),(46376,5),(46377,6),(46378,5),(46379,5),(46380,9),(46381,2),(46382,6),(46383,7),(46384,1),(46385,7),(46386,9),(46387,7),(46388,5),(46389,2),(46390,5),(46391,3),(46392,3),(46393,2),(46394,1),(46395,5),(46396,5),(46397,9),(46398,7),(46399,7),(46400,6),(46401,7),(46402,8),(46403,7),(46404,5),(46405,9),(46406,1),(46407,8),(46408,4),(46409,6),(46410,5),(46411,8),(46412,2),(46413,6),(46414,2),(46415,5),(46416,5),(46417,2),(46418,2),(46419,7),(46420,7),(46421,8),(46422,2),(46423,3),(46424,5),(46425,7),(46426,4),(46427,3),(46428,2),(46429,9),(46430,4),(46431,7),(46432,6),(46433,3),(46434,1),(46435,5),(46436,4),(46437,8),(46438,9),(46439,4),(46440,8),(46441,1),(46442,2),(46443,9),(46444,1),(46445,3),(46446,7),(46447,6),(46448,5),(46449,3),(46450,1),(46451,2),(46452,4),(46453,5),(46454,9),(46455,2),(46456,9),(46457,1),(46458,7),(46459,5),(46460,1),(46461,2),(46462,8),(46463,6),(46464,2),(46465,2),(46466,4),(46467,4),(46468,9),(46469,9),(46470,1),(46471,8),(46472,3),(46473,5),(46474,3),(46475,6),(46476,2),(46477,8),(46478,7),(46479,2),(46480,9),(46481,4),(46482,6),(46483,4),(46484,8),(46485,7),(46486,2),(46487,8),(46488,5),(46489,9),(46490,2),(46491,7),(46492,7),(46493,1),(46494,6),(46495,8),(46496,8),(46497,3),(46498,6),(46499,3),(46500,6),(46501,3),(46502,6),(46503,9),(46504,9),(46505,2),(46506,7),(46507,9),(46508,2),(46509,6),(46510,2),(46511,1),(46512,7),(46513,9),(46514,2),(46515,2),(46516,6),(46517,8),(46518,5),(46519,1),(46520,4),(46521,7),(46522,4),(46523,6),(46524,6),(46525,4),(46526,5),(46527,8),(46528,9),(46529,7),(46530,1),(46531,6),(46532,7),(46533,5),(46534,3),(46535,6),(46536,3),(46537,5),(46538,1),(46539,6),(46540,3),(46541,7),(46542,4),(46543,5),(46544,4),(46545,8),(46546,2),(46547,9),(46548,6),(46549,7),(46550,6),(46551,7),(46552,1),(46553,8),(46554,7),(46555,1),(46556,9),(46557,3),(46558,1),(46559,4),(46560,9),(46561,2),(46562,4),(46563,7),(46564,9),(46565,7),(46566,5),(46567,6),(46568,7),(46569,1),(46570,1),(46571,1),(46572,1),(46573,1),(46574,6),(46575,3),(46576,8),(46577,1),(46578,5),(46579,6),(46580,8),(46581,6),(46582,5),(46583,6),(46584,4),(46585,2),(46586,1),(46587,9),(46588,6),(46589,2),(46590,1),(46591,1),(46592,6),(46593,5),(46594,2),(46595,9),(46596,6),(46597,9),(46598,9),(46599,1),(46600,1),(46601,1),(46602,8),(46603,8),(46604,6),(46605,8),(46606,5),(46607,2),(46608,3),(46609,2),(46610,3),(46611,3),(46612,6),(46613,8),(46614,7),(46615,4),(46616,2),(46617,6),(46618,9),(46619,4),(46620,2),(46621,1),(46622,7),(46623,7),(46624,5),(46625,9),(46626,9),(46627,3),(46628,9),(46629,9),(46630,8),(46631,9),(46632,3),(46633,8),(46634,8),(46635,2),(46636,6),(46637,8),(46638,3),(46639,5),(46640,5),(46641,4),(46642,6),(46643,8),(46644,3),(46645,1),(46646,7),(46647,3),(46648,6),(46649,9),(46650,8),(46651,4),(46652,1),(46653,3),(46654,5),(46655,8),(46656,1),(46657,5),(46658,3),(46659,3),(46660,2),(46661,8),(46662,5),(46663,5),(46664,2),(46665,3),(46666,8),(46667,5),(46668,9),(46669,5),(46670,3),(46671,8),(46672,8),(46673,1),(46674,1),(46675,8),(46676,1),(46677,3),(46678,8),(46679,3),(46680,9),(46681,5),(46682,2),(46683,5),(46684,7),(46685,6),(46686,9),(46687,2),(46688,5),(46689,9),(46690,6),(46691,4),(46692,9),(46693,4),(46694,5),(46695,7),(46696,3),(46697,5),(46698,5),(46699,7),(46700,6),(46701,5),(46702,1),(46703,9),(46704,6),(46705,9),(46706,3),(46707,6),(46708,4),(46709,2),(46710,7),(46711,5),(46712,2),(46713,2),(46714,2),(46715,3),(46716,5),(46717,1),(46718,6),(46719,4),(46720,4),(46721,2),(46722,7),(46723,7),(46724,3),(46725,2),(46726,9),(46727,8),(46728,7),(46729,8),(46730,3),(46731,8),(46732,6),(46733,9),(46734,3),(46735,4),(46736,8),(46737,6),(46738,6),(46739,3),(46740,4),(46741,1),(46742,9),(46743,5),(46744,9),(46745,7),(46746,7),(46747,9),(46748,3),(46749,9),(46750,7),(46751,6),(46752,7),(46753,4),(46754,6),(46755,6),(46756,2),(46757,7),(46758,4),(46759,6),(46760,9),(46761,4),(46762,4),(46763,5),(46764,7),(46765,5),(46766,8),(46767,2),(46768,9),(46769,1),(46770,3),(46771,8),(46772,7),(46773,4),(46774,4),(46775,7),(46776,1),(46777,8),(46778,9),(46779,1),(46780,6),(46781,6),(46782,9),(46783,7),(46784,6),(46785,9),(46786,4),(46787,7),(46788,8),(46789,4),(46790,7),(46791,8),(46792,5),(46793,5),(46794,1),(46795,9),(46796,8),(46797,9),(46798,2),(46799,7),(46800,2),(46801,7),(46802,3),(46803,7),(46804,4),(46805,9),(46806,3),(46807,5),(46808,9),(46809,7),(46810,7),(46811,1),(46812,1),(46813,8),(46814,4),(46815,6),(46816,1),(46817,3),(46818,1),(46819,4),(46820,1),(46821,1),(46822,6),(46823,1),(46824,5),(46825,9),(46826,4),(46827,4),(46828,1),(46829,7),(46830,6),(46831,9),(46832,8),(46833,3),(46834,6),(46835,7),(46836,2),(46837,9),(46838,9),(46839,2),(46840,7),(46841,1),(46842,1),(46843,7),(46844,8),(46845,5),(46846,1),(46847,7),(46848,6),(46849,8),(46850,5),(46851,2),(46852,8),(46853,2),(46854,7),(46855,8),(46856,1),(46857,1),(46858,1),(46859,7),(46860,6),(46861,5),(46862,6),(46863,5),(46864,1),(46865,6),(46866,5),(46867,1),(46868,8),(46869,9),(46870,3),(46871,2),(46872,4),(46873,7),(46874,5),(46875,1),(46876,6),(46877,2),(46878,4),(46879,6),(46880,1),(46881,5),(46882,3),(46883,8),(46884,1),(46885,9),(46886,6),(46887,3),(46888,3),(46889,3),(46890,3),(46891,1),(46892,4),(46893,3),(46894,2),(46895,5),(46896,5),(46897,8),(46898,3),(46899,5),(46900,4),(46901,4),(46902,8),(46903,5),(46904,2),(46905,8),(46906,9),(46907,2),(46908,1),(46909,8),(46910,7),(46911,7),(46912,2),(46913,4),(46914,4),(46915,7),(46916,1),(46917,1),(46918,4),(46919,8),(46920,5),(46921,9),(46922,5),(46923,7),(46924,4),(46925,7),(46926,7),(46927,1),(46928,6),(46929,6),(46930,1),(46931,6),(46932,7),(46933,9),(46934,6),(46935,8),(46936,2),(46937,5),(46938,5),(46939,1),(46940,3),(46941,5),(46942,3),(46943,6),(46944,9),(46945,6),(46946,9),(46947,3),(46948,5),(46949,5),(46950,6),(46951,7),(46952,1),(46953,9),(46954,6),(46955,4),(46956,5),(46957,2),(46958,4),(46959,6),(46960,4),(46961,7),(46962,2),(46963,9),(46964,9),(46965,3),(46966,8),(46967,5),(46968,5),(46969,5),(46970,6),(46971,9),(46972,3),(46973,4),(46974,6),(46975,2),(46976,3),(46977,4),(46978,3),(46979,6),(46980,9),(46981,2),(46982,9),(46983,1),(46984,6),(46985,6),(46986,1),(46987,7),(46988,5),(46989,5),(46990,5),(46991,3),(46992,7),(46993,2),(46994,9),(46995,6),(46996,5),(46997,8),(46998,5),(46999,2),(47000,3),(47001,6),(47002,5),(47003,5),(47004,6),(47005,9),(47006,1),(47007,6),(47008,5),(47009,9),(47010,6),(47011,9),(47012,1),(47013,6),(47014,9),(47015,2),(47016,2),(47017,7),(47018,9),(47019,8),(47020,7),(47021,5),(47022,2),(47023,7),(47024,6),(47025,3),(47026,3),(47027,5),(47028,2),(47029,7),(47030,2),(47031,5),(47032,1),(47033,6),(47034,3),(47035,2),(47036,7),(47037,4),(47038,1),(47039,1),(47040,1),(47041,7),(47042,1),(47043,3),(47044,2),(47045,8),(47046,8),(47047,5),(47048,1),(47049,9),(47050,7),(47051,6),(47052,2),(47053,1),(47054,5),(47055,4),(47056,8),(47057,3),(47058,5),(47059,4),(47060,9),(47061,3),(47062,9),(47063,8),(47064,6),(47065,6),(47066,2),(47067,3),(47068,2),(47069,4),(47070,3),(47071,7),(47072,1),(47073,9),(47074,8),(47075,5),(47076,4),(47077,3),(47078,8),(47079,3),(47080,9),(47081,4),(47082,9),(47083,6),(47084,2),(47085,5),(47086,3),(47087,2),(47088,3),(47089,7),(47090,5),(47091,3),(47092,2),(47093,4),(47094,5),(47095,8),(47096,6),(47097,1),(47098,8),(47099,8),(47100,1),(47101,6),(47102,9),(47103,9),(47104,6),(47105,9),(47106,4),(47107,7),(47108,8),(47109,7),(47110,4),(47111,6),(47112,7),(47113,3),(47114,4),(47115,5),(47116,6),(47117,4),(47118,9),(47119,2),(47120,2),(47121,6),(47122,9),(47123,5),(47124,3),(47125,3),(47126,8),(47127,9),(47128,8),(47129,7),(47130,9),(47131,1),(47132,5),(47133,2),(47134,7),(47135,7),(47136,3),(47137,4),(47138,3),(47139,4),(47140,3),(47141,1),(47142,3),(47143,3),(47144,4),(47145,6),(47146,5),(47147,6),(47148,6),(47149,7),(47150,2),(47151,1),(47152,1),(47153,4),(47154,4),(47155,3),(47156,9),(47157,3),(47158,8),(47159,2),(47160,8),(47161,7),(47162,8),(47163,7),(47164,1),(47165,2),(47166,2),(47167,6),(47168,6),(47169,8),(47170,3),(47171,6),(47172,2),(47173,4),(47174,5),(47175,7),(47176,2),(47177,7),(47178,6),(47179,1),(47180,6),(47181,8),(47182,4),(47183,6),(47184,9),(47185,4),(47186,4),(47187,9),(47188,8),(47189,9),(47190,5),(47191,5),(47192,4),(47193,6),(47194,4),(47195,1),(47196,6),(47197,2),(47198,8),(47199,5),(47200,6),(47201,6),(47202,3),(47203,3),(47204,2),(47205,4),(47206,9),(47207,3),(47208,9),(47209,2),(47210,6),(47211,2),(47212,9),(47213,8),(47214,2),(47215,7),(47216,4),(47217,2),(47218,4),(47219,9),(47220,1),(47221,1),(47222,1),(47223,3),(47224,8),(47225,3),(47226,3),(47227,6),(47228,2),(47229,5),(47230,3),(47231,4),(47232,5),(47233,2),(47234,4),(47235,2),(47236,4),(47237,2),(47238,7),(47239,5),(47240,7),(47241,1),(47242,6),(47243,1),(47244,2),(47245,6),(47246,4),(47247,2),(47248,5),(47249,4),(47250,4),(47251,1),(47252,9),(47253,6),(47254,6),(47255,5),(47256,9),(47257,9),(47258,2),(47259,7),(47260,2),(47261,6),(47262,4),(47263,6),(47264,9),(47265,8),(47266,3),(47267,6),(47268,5),(47269,1),(47270,1),(47271,4),(47272,1),(47273,6),(47274,2),(47275,6),(47276,7),(47277,9),(47278,6),(47279,4),(47280,1),(47281,2),(47282,5),(47283,6),(47284,6),(47285,1),(47286,1),(47287,3),(47288,8),(47289,2),(47290,9),(47291,1),(47292,3),(47293,3),(47294,3),(47295,9),(47296,5),(47297,1),(47298,8),(47299,1),(47300,6),(47301,9),(47302,4),(47303,3),(47304,5),(47305,4),(47306,3),(47307,7),(47308,1),(47309,3),(47310,8),(47311,7),(47312,7),(47313,8),(47314,3),(47315,4),(47316,2),(47317,7),(47318,6),(47319,8),(47320,8),(47321,1),(47322,5),(47323,1),(47324,3),(47325,4),(47326,1),(47327,2),(47328,1),(47329,1),(47330,4),(47331,1),(47332,2),(47333,2),(47334,3),(47335,6),(47336,8),(47337,8),(47338,7),(47339,9),(47340,5),(47341,8),(47342,7),(47343,8),(47344,9),(47345,6),(47346,6),(47347,1),(47348,6),(47349,2),(47350,4),(47351,8),(47352,2),(47353,5),(47354,8),(47355,6),(47356,2),(47357,6),(47358,7),(47359,8),(47360,5),(47361,3),(47362,7),(47363,1),(47364,8),(47365,6),(47366,7),(47367,4),(47368,3),(47369,8),(47370,9),(47371,3),(47372,9),(47373,8),(47374,9),(47375,6),(47376,9),(47377,5),(47378,4),(47379,4),(47380,3),(47381,8),(47382,6),(47383,4),(47384,4),(47385,7),(47386,9),(47387,8),(47388,7),(47389,2),(47390,4),(47391,2),(47392,8),(47393,7),(47394,8),(47395,4),(47396,6),(47397,1),(47398,3),(47399,7),(47400,8),(47401,4),(47402,7),(47403,1),(47404,5),(47405,2),(47406,4),(47407,2),(47408,4),(47409,8),(47410,6),(47411,8),(47412,1),(47413,6),(47414,9),(47415,1),(47416,9),(47417,4),(47418,5),(47419,4),(47420,9),(47421,7),(47422,9),(47423,5),(47424,7),(47425,3),(47426,9),(47427,2),(47428,9),(47429,6),(47430,6),(47431,3),(47432,5),(47433,5),(47434,8),(47435,6),(47436,1),(47437,5),(47438,3),(47439,6),(47440,4),(47441,2),(47442,7),(47443,1),(47444,7),(47445,1),(47446,7),(47447,3),(47448,3),(47449,1),(47450,7),(47451,9),(47452,8),(47453,5),(47454,4),(47455,7),(47456,9),(47457,2),(47458,6),(47459,5),(47460,1),(47461,1),(47462,2),(47463,6),(47464,2),(47465,1),(47466,5),(47467,3),(47468,7),(47469,5),(47470,5),(47471,1),(47472,7),(47473,1),(47474,5),(47475,8),(47476,5),(47477,7),(47478,4),(47479,2),(47480,8),(47481,6),(47482,9),(47483,4),(47484,6),(47485,1),(47486,4),(47487,1),(47488,5),(47489,3),(47490,7),(47491,6),(47492,5),(47493,1),(47494,9),(47495,9),(47496,5),(47497,6),(47498,4),(47499,9),(47500,3),(47501,9),(47502,4),(47503,4),(47504,4),(47505,6),(47506,2),(47507,8),(47508,5),(47509,4),(47510,8),(47511,5),(47512,3),(47513,2),(47514,5),(47515,6),(47516,4),(47517,4),(47518,4),(47519,6),(47520,5),(47521,4),(47522,9),(47523,6),(47524,3),(47525,3),(47526,4),(47527,5),(47528,5),(47529,1),(47530,8),(47531,9),(47532,2),(47533,6),(47534,3),(47535,2),(47536,5),(47537,3),(47538,2),(47539,4),(47540,8),(47541,8),(47542,7),(47543,1),(47544,1),(47545,1),(47546,4),(47547,7),(47548,4),(47549,3),(47550,8),(47551,7),(47552,2),(47553,4),(47554,5),(47555,1),(47556,6),(47557,9),(47558,6),(47559,7),(47560,1),(47561,9),(47562,7),(47563,7),(47564,2),(47565,6),(47566,2),(47567,1),(47568,6),(47569,2),(47570,5),(47571,2),(47572,3),(47573,3),(47574,4),(47575,8),(47576,4),(47577,4),(47578,9),(47579,2),(47580,4),(47581,2),(47582,7),(47583,8),(47584,6),(47585,4),(47586,8),(47587,8),(47588,6),(47589,1),(47590,2),(47591,6),(47592,9),(47593,5),(47594,7),(47595,1),(47596,8),(47597,3),(47598,9),(47599,9),(47600,1),(47601,5),(47602,1),(47603,9),(47604,6),(47605,5),(47606,1),(47607,5),(47608,7),(47609,4),(47610,5),(47611,8),(47612,3),(47613,1),(47614,2),(47615,8),(47616,5),(47617,2),(47618,7),(47619,4),(47620,5),(47621,6),(47622,8),(47623,8),(47624,4),(47625,2),(47626,6),(47627,8),(47628,5),(47629,8),(47630,7),(47631,1),(47632,1),(47633,9),(47634,5),(47635,5),(47636,3),(47637,4),(47638,8),(47639,3),(47640,7),(47641,2),(47642,1),(47643,7),(47644,3),(47645,8),(47646,2),(47647,4),(47648,4),(47649,2),(47650,6),(47651,3),(47652,2),(47653,7),(47654,9),(47655,6),(47656,1),(47657,2),(47658,9),(47659,8),(47660,1),(47661,5),(47662,7),(47663,2),(47664,6),(47665,2),(47666,5),(47667,6),(47668,9),(47669,3),(47670,5),(47671,8),(47672,5),(47673,9),(47674,5),(47675,5),(47676,6),(47677,5),(47678,5),(47679,1),(47680,6),(47681,6),(47682,2),(47683,9),(47684,4),(47685,8),(47686,4),(47687,7),(47688,7),(47689,8),(47690,7),(47691,1),(47692,5),(47693,1),(47694,1),(47695,8),(47696,7),(47697,9),(47698,3),(47699,1),(47700,9),(47701,1),(47702,8),(47703,9),(47704,9),(47705,2),(47706,8),(47707,4),(47708,2),(47709,8),(47710,3),(47711,7),(47712,5),(47713,7),(47714,3),(47715,8),(47716,4),(47717,6),(47718,2),(47719,3),(47720,3),(47721,5),(47722,9),(47723,7),(47724,4),(47725,8),(47726,2),(47727,4),(47728,3),(47729,9),(47730,2),(47731,6),(47732,1),(47733,8),(47734,2),(47735,8),(47736,4),(47737,2),(47738,1),(47739,8),(47740,6),(47741,5),(47742,9),(47743,1),(47744,7),(47745,3),(47746,2),(47747,4),(47748,9),(47749,9),(47750,8),(47751,8),(47752,2),(47753,5),(47754,4),(47755,2),(47756,2),(47757,2),(47758,6),(47759,7),(47760,5),(47761,8),(47762,8),(47763,9),(47764,3),(47765,1),(47766,4),(47767,7),(47768,1),(47769,5),(47770,6),(47771,9),(47772,6),(47773,7),(47774,5),(47775,7),(47776,5),(47777,8),(47778,1),(47779,8),(47780,6),(47781,6),(47782,7),(47783,2),(47784,5),(47785,6),(47786,9),(47787,6),(47788,5),(47789,8),(47790,6),(47791,9),(47792,8),(47793,7),(47794,8),(47795,1),(47796,4),(47797,6),(47798,5),(47799,3),(47800,2),(47801,1),(47802,1),(47803,7),(47804,7),(47805,8),(47806,9),(47807,3),(47808,1),(47809,8),(47810,5),(47811,7),(47812,2),(47813,6),(47814,3),(47815,6),(47816,4),(47817,7),(47818,9),(47819,8),(47820,5),(47821,4),(47822,7),(47823,2),(47824,2),(47825,2),(47826,8),(47827,1),(47828,1),(47829,1),(47830,8),(47831,8),(47832,9),(47833,6),(47834,9),(47835,6),(47836,9),(47837,1),(47838,1),(47839,6),(47840,9),(47841,5),(47842,5),(47843,8),(47844,5),(47845,7),(47846,6),(47847,9),(47848,3),(47849,7),(47850,3),(47851,8),(47852,7),(47853,2),(47854,9),(47855,7),(47856,7),(47857,8),(47858,5),(47859,5),(47860,9),(47861,1),(47862,5),(47863,2),(47864,9),(47865,2),(47866,6),(47867,4),(47868,5),(47869,8),(47870,4),(47871,9),(47872,2),(47873,5),(47874,5),(47875,2),(47876,4),(47877,2),(47878,3),(47879,5),(47880,6),(47881,3),(47882,3),(47883,7),(47884,4),(47885,7),(47886,5),(47887,2),(47888,2),(47889,8),(47890,5),(47891,2),(47892,9),(47893,2),(47894,9),(47895,2),(47896,9),(47897,8),(47898,3),(47899,8),(47900,1),(47901,7),(47902,1),(47903,9),(47904,4),(47905,3),(47906,1),(47907,3),(47908,9),(47909,7),(47910,4),(47911,2),(47912,2),(47913,8),(47914,6),(47915,1),(47916,6),(47917,7),(47918,3),(47919,7),(47920,9),(47921,1),(47922,1),(47923,8),(47924,9),(47925,6),(47926,9),(47927,6),(47928,9),(47929,7),(47930,4),(47931,8),(47932,5),(47933,3),(47934,1),(47935,2),(47936,9),(47937,2),(47938,4),(47939,2),(47940,6),(47941,2),(47942,2),(47943,5),(47944,1),(47945,9),(47946,5),(47947,1),(47948,7),(47949,2),(47950,8),(47951,9),(47952,8),(47953,9),(47954,8),(47955,4),(47956,7),(47957,8),(47958,9),(47959,2),(47960,3),(47961,8),(47962,2),(47963,1),(47964,2),(47965,8),(47966,4),(47967,8),(47968,3),(47969,7),(47970,9),(47971,7),(47972,9),(47973,7),(47974,5),(47975,4),(47976,6),(47977,5),(47978,5),(47979,1),(47980,9),(47981,1),(47982,2),(47983,4),(47984,2),(47985,9),(47986,2),(47987,2),(47988,1),(47989,9),(47990,1),(47991,3),(47992,1),(47993,6),(47994,7),(47995,5),(47996,6),(47997,7),(47998,1),(47999,2),(48000,5),(48001,4),(48002,1),(48003,5),(48004,3),(48005,8),(48006,4),(48007,8),(48008,3),(48009,8),(48010,7),(48011,1),(48012,4),(48013,2),(48014,2),(48015,9),(48016,4),(48017,2),(48018,6),(48019,4),(48020,8),(48021,9),(48022,7),(48023,6),(48024,5),(48025,3),(48026,6),(48027,7),(48028,9),(48029,5),(48030,2),(48031,5),(48032,9),(48033,5),(48034,2),(48035,7),(48036,6),(48037,7),(48038,4),(48039,4),(48040,8),(48041,6),(48042,4),(48043,3),(48044,3),(48045,1),(48046,1),(48047,8),(48048,3),(48049,7),(48050,9),(48051,7),(48052,3),(48053,1),(48054,3),(48055,6),(48056,4),(48057,5),(48058,1),(48059,7),(48060,2),(48061,7),(48062,1),(48063,3),(48064,2),(48065,7),(48066,7),(48067,9),(48068,8),(48069,2),(48070,1),(48071,7),(48072,9),(48073,4),(48074,8),(48075,4),(48076,9),(48077,7),(48078,6),(48079,4),(48080,4),(48081,2),(48082,5),(48083,5),(48084,3),(48085,9),(48086,3),(48087,4),(48088,2),(48089,4),(48090,4),(48091,5),(48092,5),(48093,7),(48094,3),(48095,9),(48096,6),(48097,3),(48098,6),(48099,4),(48100,4),(48101,4),(48102,9),(48103,4),(48104,6),(48105,1),(48106,3),(48107,8),(48108,5),(48109,7),(48110,8),(48111,4),(48112,6),(48113,2),(48114,8),(48115,1),(48116,8),(48117,9),(48118,8),(48119,7),(48120,7),(48121,3),(48122,3),(48123,9),(48124,9),(48125,4),(48126,7),(48127,7),(48128,8),(48129,3),(48130,4),(48131,4),(48132,5),(48133,3),(48134,2),(48135,9),(48136,3),(48137,7),(48138,3),(48139,9),(48140,8),(48141,9),(48142,4),(48143,4),(48144,5),(48145,4),(48146,2),(48147,8),(48148,6),(48149,1),(48150,3),(48151,2),(48152,4),(48153,1),(48154,7),(48155,5),(48156,1),(48157,6),(48158,6),(48159,4),(48160,1),(48161,5),(48162,9),(48163,5),(48164,6),(48165,4),(48166,3),(48167,9),(48168,7),(48169,3),(48170,7),(48171,4),(48172,8),(48173,8),(48174,1),(48175,9),(48176,8),(48177,3),(48178,6),(48179,5),(48180,3),(48181,4),(48182,4),(48183,9),(48184,9),(48185,7),(48186,1),(48187,5),(48188,7),(48189,3),(48190,1),(48191,3),(48192,2),(48193,3),(48194,8),(48195,6),(48196,1),(48197,9),(48198,3),(48199,9),(48200,9),(48201,9),(48202,5),(48203,7),(48204,9),(48205,7),(48206,8),(48207,4),(48208,5),(48209,7),(48210,3),(48211,1),(48212,1),(48213,7),(48214,3),(48215,8),(48216,6),(48217,1),(48218,6),(48219,3),(48220,5),(48221,8),(48222,9),(48223,3),(48224,7),(48225,1),(48226,1),(48227,4),(48228,9),(48229,4),(48230,3),(48231,4),(48232,2),(48233,7),(48234,2),(48235,8),(48236,6),(48237,8),(48238,9),(48239,3),(48240,8),(48241,9),(48242,7),(48243,8),(48244,3),(48245,1),(48246,5),(48247,8),(48248,7),(48249,2),(48250,8),(48251,8),(48252,4),(48253,3),(48254,8),(48255,2),(48256,6),(48257,7),(48258,5),(48259,7),(48260,4),(48261,6),(48262,5),(48263,4),(48264,6),(48265,1),(48266,2),(48267,6),(48268,5),(48269,5),(48270,2),(48271,6),(48272,4),(48273,2),(48274,5),(48275,3),(48276,7),(48277,5),(48278,6),(48279,7),(48280,3),(48281,7),(48282,2),(48283,7),(48284,5),(48285,8),(48286,9),(48287,5),(48288,3),(48289,7),(48290,5),(48291,5),(48292,9),(48293,4),(48294,8),(48295,8),(48296,5),(48297,3),(48298,5),(48299,2),(48300,3),(48301,1),(48302,1),(48303,5),(48304,9),(48305,2),(48306,9),(48307,7),(48308,2),(48309,5),(48310,8),(48311,7),(48312,2),(48313,7),(48314,8),(48315,7),(48316,9),(48317,8),(48318,2),(48319,3),(48320,3),(48321,3),(48322,4),(48323,4),(48324,6),(48325,7),(48326,4),(48327,2),(48328,9),(48329,2),(48330,9),(48331,6),(48332,8),(48333,7),(48334,4),(48335,2),(48336,3),(48337,5),(48338,9),(48339,4),(48340,8),(48341,5),(48342,9),(48343,8),(48344,1),(48345,7),(48346,4),(48347,2),(48348,3),(48349,7),(48350,9),(48351,5),(48352,7),(48353,7),(48354,6),(48355,8),(48356,4),(48357,5),(48358,7),(48359,7),(48360,1),(48361,4),(48362,6),(48363,7),(48364,7),(48365,7),(48366,4),(48367,4),(48368,8),(48369,7),(48370,6),(48371,3),(48372,4),(48373,6),(48374,5),(48375,1),(48376,2),(48377,8),(48378,7),(48379,8),(48380,9),(48381,3),(48382,9),(48383,7),(48384,2),(48385,1),(48386,2),(48387,3),(48388,2),(48389,4),(48390,6),(48391,3),(48392,4),(48393,5),(48394,3),(48395,5),(48396,7),(48397,8),(48398,2),(48399,1),(48400,2),(48401,8),(48402,5),(48403,9),(48404,4),(48405,3),(48406,8),(48407,7),(48408,4),(48409,4),(48410,8),(48411,6),(48412,5),(48413,1),(48414,5),(48415,4),(48416,3),(48417,8),(48418,2),(48419,9),(48420,4),(48421,5),(48422,8),(48423,5),(48424,4),(48425,2),(48426,2),(48427,4),(48428,5),(48429,4),(48430,8),(48431,9),(48432,1),(48433,8),(48434,4),(48435,1),(48436,1),(48437,1),(48438,9),(48439,3),(48440,4),(48441,8),(48442,8),(48443,7),(48444,1),(48445,8),(48446,6),(48447,2),(48448,4),(48449,3),(48450,3),(48451,6),(48452,8),(48453,2),(48454,7),(48455,2),(48456,2),(48457,5),(48458,7),(48459,6),(48460,2),(48461,5),(48462,4),(48463,1),(48464,7),(48465,8),(48466,1),(48467,9),(48468,1),(48469,2),(48470,6),(48471,9),(48472,7),(48473,4),(48474,4),(48475,8),(48476,6),(48477,6),(48478,2),(48479,4),(48480,5),(48481,8),(48482,7),(48483,3),(48484,6),(48485,8),(48486,4),(48487,8),(48488,7),(48489,1),(48490,6),(48491,7),(48492,7),(48493,8),(48494,2),(48495,1),(48496,7),(48497,1),(48498,8),(48499,3),(48500,7),(48501,8),(48502,8),(48503,1),(48504,6),(48505,6),(48506,3),(48507,5),(48508,2),(48509,9),(48510,3),(48511,3),(48512,8),(48513,4),(48514,2),(48515,3),(48516,9),(48517,5),(48518,6),(48519,6),(48520,1),(48521,5),(48522,9),(48523,8),(48524,3),(48525,6),(48526,3),(48527,5),(48528,4),(48529,2),(48530,6),(48531,3),(48532,6),(48533,5),(48534,7),(48535,1),(48536,9),(48537,7),(48538,4),(48539,6),(48540,4),(48541,1),(48542,6),(48543,9),(48544,7),(48545,8),(48546,8),(48547,9),(48548,8),(48549,1),(48550,5),(48551,1),(48552,6),(48553,3),(48554,6),(48555,1),(48556,5),(48557,8),(48558,6),(48559,5),(48560,1),(48561,9),(48562,8),(48563,9),(48564,9),(48565,9),(48566,8),(48567,9),(48568,9),(48569,3),(48570,7),(48571,7),(48572,7),(48573,7),(48574,6),(48575,4),(48576,6),(48577,3),(48578,8),(48579,5),(48580,8),(48581,2),(48582,8),(48583,6),(48584,5),(48585,5),(48586,4),(48587,3),(48588,6),(48589,3),(48590,1),(48591,9),(48592,8),(48593,8),(48594,1),(48595,2),(48596,2),(48597,2),(48598,7),(48599,8),(48600,5),(48601,8),(48602,2),(48603,9),(48604,1),(48605,9),(48606,1),(48607,5),(48608,9),(48609,5),(48610,6),(48611,8),(48612,2),(48613,8),(48614,8),(48615,2),(48616,9),(48617,4),(48618,8),(48619,9),(48620,3),(48621,4),(48622,9),(48623,7),(48624,3),(48625,4),(48626,3),(48627,9),(48628,9),(48629,6),(48630,8),(48631,1),(48632,8),(48633,8),(48634,8),(48635,2),(48636,3),(48637,4),(48638,5),(48639,4),(48640,1),(48641,4),(48642,8),(48643,9),(48644,8),(48645,7),(48646,6),(48647,1),(48648,5),(48649,2),(48650,4),(48651,2),(48652,6),(48653,5),(48654,6),(48655,8),(48656,5),(48657,5),(48658,8),(48659,2),(48660,5),(48661,1),(48662,4),(48663,2),(48664,1),(48665,6),(48666,2),(48667,5),(48668,1),(48669,9),(48670,7),(48671,9),(48672,4),(48673,9),(48674,3),(48675,5),(48676,6),(48677,2),(48678,3),(48679,2),(48680,4),(48681,4),(48682,1),(48683,1),(48684,8),(48685,5),(48686,8),(48687,3),(48688,6),(48689,6),(48690,3),(48691,6),(48692,7),(48693,4),(48694,6),(48695,9),(48696,1),(48697,7),(48698,5),(48699,2),(48700,2),(48701,2),(48702,8),(48703,1),(48704,7),(48705,3),(48706,6),(48707,8),(48708,3),(48709,2),(48710,9),(48711,6),(48712,4),(48713,3),(48714,7),(48715,5),(48716,1),(48717,8),(48718,3),(48719,5),(48720,4),(48721,2),(48722,3),(48723,9),(48724,9),(48725,7),(48726,2),(48727,4),(48728,6),(48729,9),(48730,9),(48731,8),(48732,3),(48733,4),(48734,1),(48735,5),(48736,6),(48737,9),(48738,4),(48739,1),(48740,9),(48741,3),(48742,1),(48743,2),(48744,8),(48745,9),(48746,8),(48747,4),(48748,9),(48749,8),(48750,8),(48751,4),(48752,1),(48753,4),(48754,9),(48755,3),(48756,5),(48757,1),(48758,2),(48759,8),(48760,6),(48761,6),(48762,7),(48763,5),(48764,3),(48765,2),(48766,2),(48767,6),(48768,7),(48769,7),(48770,5),(48771,1),(48772,4),(48773,2),(48774,2),(48775,1),(48776,3),(48777,6),(48778,4),(48779,6),(48780,2),(48781,7),(48782,5),(48783,7),(48784,1),(48785,5),(48786,2),(48787,6),(48788,9),(48789,6),(48790,9),(48791,6),(48792,7),(48793,8),(48794,7),(48795,4),(48796,9),(48797,9),(48798,9),(48799,2),(48800,4),(48801,6),(48802,7),(48803,4),(48804,4),(48805,1),(48806,9),(48807,8),(48808,8),(48809,1),(48810,5),(48811,6),(48812,9),(48813,6),(48814,3),(48815,8),(48816,8),(48817,5),(48818,7),(48819,1),(48820,1),(48821,3),(48822,8),(48823,3),(48824,7),(48825,1),(48826,8),(48827,4),(48828,7),(48829,1),(48830,5),(48831,3),(48832,6),(48833,8),(48834,4),(48835,4),(48836,5),(48837,1),(48838,6),(48839,1),(48840,3),(48841,8),(48842,4),(48843,8),(48844,3),(48845,1),(48846,4),(48847,1),(48848,6),(48849,9),(48850,1),(48851,7),(48852,2),(48853,4),(48854,7),(48855,9),(48856,6),(48857,2),(48858,9),(48859,3),(48860,1),(48861,6),(48862,5),(48863,8),(48864,6),(48865,1),(48866,3),(48867,9),(48868,3),(48869,9),(48870,6),(48871,6),(48872,9),(48873,5),(48874,1),(48875,2),(48876,7),(48877,6),(48878,2),(48879,7),(48880,7),(48881,8),(48882,7),(48883,6),(48884,4),(48885,9),(48886,7),(48887,3),(48888,5),(48889,3),(48890,3),(48891,8),(48892,3),(48893,9),(48894,5),(48895,8),(48896,2),(48897,8),(48898,6),(48899,3),(48900,8),(48901,3),(48902,1),(48903,6),(48904,5),(48905,3),(48906,9),(48907,9),(48908,2),(48909,3),(48910,6),(48911,8),(48912,9),(48913,4),(48914,8),(48915,8),(48916,4),(48917,1),(48918,3),(48919,8),(48920,2),(48921,5),(48922,6),(48923,7),(48924,9),(48925,5),(48926,3),(48927,2),(48928,8),(48929,8),(48930,5),(48931,7),(48932,6),(48933,3),(48934,1),(48935,9),(48936,6),(48937,9),(48938,3),(48939,4),(48940,9),(48941,3),(48942,4),(48943,9),(48944,3),(48945,4),(48946,6),(48947,9),(48948,9),(48949,8),(48950,5),(48951,8),(48952,7),(48953,9),(48954,9),(48955,2),(48956,1),(48957,6),(48958,4),(48959,3),(48960,6),(48961,9),(48962,9),(48963,9),(48964,2),(48965,8),(48966,8),(48967,6),(48968,4),(48969,1),(48970,9),(48971,3),(48972,8),(48973,4),(48974,3),(48975,2),(48976,1),(48977,1),(48978,4),(48979,2),(48980,5),(48981,4),(48982,4),(48983,2),(48984,8),(48985,5),(48986,5),(48987,5),(48988,7),(48989,3),(48990,6),(48991,2),(48992,6),(48993,2),(48994,1),(48995,8),(48996,4),(48997,4),(48998,7),(48999,1),(49000,4),(49001,2),(49002,1),(49003,8),(49004,4),(49005,7),(49006,5),(49007,5),(49008,6),(49009,9),(49010,4),(49011,1),(49012,8),(49013,1),(49014,8),(49015,9),(49016,2),(49017,7),(49018,8),(49019,6),(49020,1),(49021,2),(49022,6),(49023,1),(49024,5),(49025,5),(49026,5),(49027,9),(49028,5),(49029,3),(49030,5),(49031,3),(49032,5),(49033,7),(49034,7),(49035,9),(49036,5),(49037,6),(49038,4),(49039,3),(49040,1),(49041,4),(49042,7),(49043,3),(49044,4),(49045,8),(49046,9),(49047,3),(49048,6),(49049,8),(49050,4),(49051,5),(49052,2),(49053,1),(49054,4),(49055,6),(49056,8),(49057,8),(49058,6),(49059,8),(49060,1),(49061,7),(49062,2),(49063,4),(49064,7),(49065,1),(49066,5),(49067,7),(49068,1),(49069,1),(49070,1),(49071,1),(49072,6),(49073,7),(49074,6),(49075,5),(49076,7),(49077,4),(49078,1),(49079,8),(49080,1),(49081,3),(49082,2),(49083,4),(49084,8),(49085,2),(49086,3),(49087,5),(49088,5),(49089,9),(49090,3),(49091,4),(49092,7),(49093,9),(49094,3),(49095,1),(49096,7),(49097,9),(49098,2),(49099,2),(49100,1),(49101,8),(49102,2),(49103,9),(49104,3),(49105,8),(49106,1),(49107,2),(49108,3),(49109,8),(49110,5),(49111,2),(49112,6),(49113,8),(49114,4),(49115,7),(49116,6),(49117,1),(49118,5),(49119,5),(49120,9),(49121,7),(49122,7),(49123,3),(49124,7),(49125,8),(49126,4),(49127,1),(49128,1),(49129,4),(49130,1),(49131,2),(49132,9),(49133,2),(49134,5),(49135,1),(49136,5),(49137,5),(49138,6),(49139,4),(49140,6),(49141,2),(49142,1),(49143,4),(49144,1),(49145,8),(49146,3),(49147,3),(49148,6),(49149,5),(49150,7),(49151,6),(49152,8),(49153,4),(49154,1),(49155,5),(49156,4),(49157,8),(49158,2),(49159,4),(49160,3),(49161,3),(49162,9),(49163,4),(49164,7),(49165,9),(49166,5),(49167,6),(49168,5),(49169,2),(49170,2),(49171,3),(49172,1),(49173,7),(49174,5),(49175,5),(49176,4),(49177,6),(49178,6),(49179,2),(49180,5),(49181,7),(49182,7),(49183,3),(49184,6),(49185,9),(49186,9),(49187,4),(49188,1),(49189,4),(49190,1),(49191,4),(49192,9),(49193,2),(49194,7),(49195,1),(49196,3),(49197,8),(49198,5),(49199,7),(49200,1),(49201,6),(49202,8),(49203,1),(49204,2),(49205,8),(49206,9),(49207,7),(49208,9),(49209,7),(49210,5),(49211,7),(49212,1),(49213,2),(49214,9),(49215,6),(49216,5),(49217,7),(49218,6),(49219,2),(49220,8),(49221,9),(49222,3),(49223,9),(49224,7),(49225,7),(49226,7),(49227,4),(49228,7),(49229,7),(49230,5),(49231,7),(49232,2),(49233,6),(49234,8),(49235,2),(49236,8),(49237,4),(49238,6),(49239,8),(49240,4),(49241,4),(49242,5),(49243,8),(49244,7),(49245,3),(49246,6),(49247,9),(49248,1),(49249,9),(49250,3),(49251,8),(49252,1),(49253,8),(49254,8),(49255,5),(49256,3),(49257,2),(49258,6),(49259,1),(49260,7),(49261,5),(49262,4),(49263,4),(49264,9),(49265,5),(49266,1),(49267,6),(49268,4),(49269,3),(49270,8),(49271,7),(49272,8),(49273,1),(49274,1),(49275,5),(49276,6),(49277,4),(49278,3),(49279,1),(49280,7),(49281,5),(49282,5),(49283,9),(49284,4),(49285,8),(49286,7),(49287,2),(49288,8),(49289,6),(49290,4),(49291,6),(49292,8),(49293,7),(49294,1),(49295,5),(49296,5),(49297,6),(49298,8),(49299,2),(49300,4),(49301,4),(49302,4),(49303,4),(49304,7),(49305,3),(49306,5),(49307,2),(49308,9),(49309,3),(49310,2),(49311,2),(49312,1),(49313,5),(49314,7),(49315,4),(49316,3),(49317,5),(49318,8),(49319,4),(49320,1),(49321,5),(49322,2),(49323,3),(49324,3),(49325,2),(49326,1),(49327,5),(49328,8),(49329,5),(49330,6),(49331,5),(49332,2),(49333,7),(49334,9),(49335,7),(49336,4),(49337,5),(49338,5),(49339,2),(49340,3),(49341,7),(49342,3),(49343,2),(49344,1),(49345,3),(49346,6),(49347,1),(49348,3),(49349,6),(49350,3),(49351,5),(49352,7),(49353,2),(49354,1),(49355,8),(49356,3),(49357,3),(49358,7),(49359,7),(49360,8),(49361,1),(49362,8),(49363,3),(49364,8),(49365,7),(49366,9),(49367,6),(49368,9),(49369,6),(49370,5),(49371,8),(49372,4),(49373,8),(49374,6),(49375,1),(49376,2),(49377,6),(49378,9),(49379,7),(49380,8),(49381,4),(49382,1),(49383,9),(49384,9),(49385,8),(49386,8),(49387,5),(49388,5),(49389,9),(49390,3),(49391,6),(49392,5),(49393,1),(49394,7),(49395,2),(49396,8),(49397,9),(49398,4),(49399,8),(49400,5),(49401,3),(49402,6),(49403,4),(49404,6),(49405,3),(49406,3),(49407,5),(49408,1),(49409,1),(49410,2),(49411,8),(49412,4),(49413,8),(49414,9),(49415,9),(49416,9),(49417,5),(49418,6),(49419,3),(49420,2),(49421,4),(49422,3),(49423,4),(49424,1),(49425,4),(49426,8),(49427,1),(49428,4),(49429,1),(49430,9),(49431,8),(49432,1),(49433,1),(49434,7),(49435,3),(49436,6),(49437,8),(49438,7),(49439,1),(49440,1),(49441,7),(49442,9),(49443,2),(49444,2),(49445,8),(49446,5),(49447,1),(49448,6),(49449,9),(49450,8),(49451,4),(49452,8),(49453,5),(49454,2),(49455,4),(49456,3),(49457,5),(49458,7),(49459,8),(49460,9),(49461,7),(49462,7),(49463,9),(49464,1),(49465,8),(49466,1),(49467,3),(49468,7),(49469,1),(49470,5),(49471,2),(49472,8),(49473,8),(49474,4),(49475,3),(49476,3),(49477,9),(49478,9),(49479,7),(49480,8),(49481,7),(49482,3),(49483,9),(49484,4),(49485,6),(49486,1),(49487,2),(49488,2),(49489,9),(49490,8),(49491,6),(49492,1),(49493,8),(49494,6),(49495,5),(49496,4),(49497,9),(49498,8),(49499,8),(49500,6),(49501,3),(49502,5),(49503,5),(49504,3),(49505,7),(49506,2),(49507,1),(49508,3),(49509,5),(49510,5),(49511,9),(49512,4),(49513,1),(49514,2),(49515,6),(49516,5),(49517,1),(49518,7),(49519,3),(49520,1),(49521,1),(49522,5),(49523,8),(49524,5),(49525,7),(49526,3),(49527,4),(49528,1),(49529,7),(49530,1),(49531,7),(49532,1),(49533,6),(49534,6),(49535,9),(49536,1),(49537,2),(49538,5),(49539,4),(49540,6),(49541,2),(49542,4),(49543,6),(49544,7),(49545,2),(49546,7),(49547,3),(49548,7),(49549,1),(49550,1),(49551,5),(49552,3),(49553,6),(49554,3),(49555,8),(49556,5),(49557,2),(49558,5),(49559,8),(49560,7),(49561,8),(49562,3),(49563,4),(49564,4),(49565,8),(49566,2),(49567,9),(49568,5),(49569,6),(49570,6),(49571,2),(49572,4),(49573,1),(49574,8),(49575,1),(49576,9),(49577,8),(49578,8),(49579,2),(49580,1),(49581,1),(49582,4),(49583,5),(49584,1),(49585,7),(49586,9),(49587,9),(49588,8),(49589,9),(49590,5),(49591,8),(49592,7),(49593,2),(49594,1),(49595,9),(49596,7),(49597,9),(49598,1),(49599,5),(49600,5),(49601,7),(49602,9),(49603,7),(49604,6),(49605,8),(49606,4),(49607,3),(49608,3),(49609,8),(49610,2),(49611,8),(49612,4),(49613,1),(49614,5),(49615,2),(49616,8),(49617,4),(49618,6),(49619,7),(49620,5),(49621,2),(49622,6),(49623,1),(49624,6),(49625,5),(49626,7),(49627,2),(49628,9),(49629,9),(49630,8),(49631,7),(49632,6),(49633,7),(49634,7),(49635,9),(49636,8),(49637,1),(49638,6),(49639,1),(49640,7),(49641,7),(49642,1),(49643,5),(49644,6),(49645,9),(49646,7),(49647,5),(49648,2),(49649,3),(49650,8),(49651,9),(49652,6),(49653,9),(49654,1),(49655,3),(49656,2),(49657,2),(49658,6),(49659,4),(49660,3),(49661,1),(49662,4),(49663,2),(49664,3),(49665,3),(49666,7),(49667,8),(49668,8),(49669,8),(49670,2),(49671,6),(49672,2),(49673,4),(49674,2),(49675,5),(49676,5),(49677,1),(49678,1),(49679,5),(49680,6),(49681,2),(49682,4),(49683,9),(49684,2),(49685,2),(49686,9),(49687,6),(49688,2),(49689,1),(49690,6),(49691,1),(49692,8),(49693,5),(49694,9),(49695,7),(49696,1),(49697,8),(49698,3),(49699,2),(49700,8),(49701,1),(49702,4),(49703,8),(49704,3),(49705,3),(49706,1),(49707,7),(49708,8),(49709,6),(49710,7),(49711,4),(49712,3),(49713,6),(49714,9),(49715,5),(49716,3),(49717,3),(49718,5),(49719,2),(49720,3),(49721,7),(49722,6),(49723,2),(49724,6),(49725,8),(49726,7),(49727,3),(49728,2),(49729,2),(49730,3),(49731,6),(49732,6),(49733,8),(49734,3),(49735,8),(49736,7),(49737,3),(49738,9),(49739,2),(49740,7),(49741,3),(49742,9),(49743,8),(49744,4),(49745,1),(49746,3),(49747,8),(49748,1),(49749,5),(49750,9),(49751,9),(49752,3),(49753,3),(49754,3),(49755,9),(49756,5),(49757,4),(49758,8),(49759,8),(49760,2),(49761,7),(49762,7),(49763,5),(49764,9),(49765,1),(49766,9),(49767,2),(49768,9),(49769,1),(49770,2),(49771,4),(49772,3),(49773,2),(49774,9),(49775,9),(49776,7),(49777,4),(49778,9),(49779,3),(49780,1),(49781,6),(49782,1),(49783,6),(49784,8),(49785,5),(49786,9),(49787,3),(49788,8),(49789,2),(49790,5),(49791,8),(49792,7),(49793,6),(49794,3),(49795,2),(49796,7),(49797,9),(49798,1),(49799,2),(49800,1),(49801,3),(49802,1),(49803,6),(49804,4),(49805,6),(49806,2),(49807,3),(49808,8),(49809,1),(49810,8),(49811,8),(49812,3),(49813,3),(49814,8),(49815,5),(49816,7),(49817,8),(49818,2),(49819,7),(49820,7),(49821,6),(49822,1),(49823,7),(49824,9),(49825,8),(49826,7),(49827,9),(49828,3),(49829,8),(49830,4),(49831,3),(49832,5),(49833,4),(49834,9),(49835,6),(49836,2),(49837,5),(49838,8),(49839,5),(49840,9),(49841,9),(49842,7),(49843,9),(49844,3),(49845,7),(49846,7),(49847,7),(49848,3),(49849,2),(49850,7),(49851,1),(49852,5),(49853,1),(49854,5),(49855,4),(49856,1),(49857,2),(49858,5),(49859,3),(49860,4),(49861,9),(49862,2),(49863,3),(49864,8),(49865,7),(49866,2),(49867,2),(49868,3),(49869,3),(49870,5),(49871,8),(49872,4),(49873,3),(49874,8),(49875,5),(49876,6),(49877,6),(49878,1),(49879,9),(49880,2),(49881,4),(49882,9),(49883,7),(49884,5),(49885,5),(49886,8),(49887,2),(49888,7),(49889,1),(49890,6),(49891,1),(49892,7),(49893,6),(49894,9),(49895,5),(49896,3),(49897,9),(49898,9),(49899,5),(49900,8),(49901,6),(49902,2),(49903,2),(49904,6),(49905,2),(49906,5),(49907,7),(49908,7),(49909,2),(49910,5),(49911,8),(49912,6),(49913,6),(49914,7),(49915,4),(49916,1),(49917,6),(49918,9),(49919,5),(49920,3),(49921,9),(49922,9),(49923,7),(49924,4),(49925,1),(49926,7),(49927,5),(49928,5),(49929,5),(49930,3),(49931,9),(49932,9),(49933,9),(49934,8),(49935,2),(49936,7),(49937,7),(49938,9),(49939,5),(49940,4),(49941,4),(49942,6),(49943,4),(49944,7),(49945,4),(49946,9),(49947,5),(49948,3),(49949,8),(49950,4),(49951,3),(49952,8),(49953,3),(49954,7),(49955,9),(49956,3),(49957,3),(49958,1),(49959,2),(49960,4),(49961,1),(49962,5),(49963,3),(49964,5),(49965,8),(49966,3),(49967,8),(49968,7),(49969,8),(49970,5),(49971,2),(49972,3),(49973,5),(49974,8),(49975,5),(49976,2),(49977,4),(49978,9),(49979,9),(49980,4),(49981,8),(49982,4),(49983,1),(49984,7),(49985,6),(49986,5),(49987,4),(49988,5),(49989,5),(49990,8),(49991,7),(49992,7),(49993,8),(49994,4),(49995,9),(49996,5),(49997,1),(49998,4),(49999,6),(50000,2),(50001,8),(50002,9),(50003,3),(50004,5),(50005,6),(50006,7),(50007,2),(50008,4),(50009,1),(50010,5),(50011,6),(50012,1),(50013,4),(50014,2),(50015,6),(50016,3),(50017,3),(50018,6),(50019,7),(50020,2),(50021,5),(50022,9),(50023,1),(50024,3),(50025,3),(50026,1),(50027,6),(50028,8),(50029,9),(50030,6),(50031,5),(50032,3),(50033,3),(50034,2),(50035,8),(50036,8),(50037,4),(50038,6),(50039,8),(50040,9),(50041,4),(50042,2),(50043,8),(50044,3),(50045,3),(50046,1),(50047,4),(50048,8),(50049,7),(50050,3),(50051,4),(50052,1),(50053,9),(50054,5),(50055,6),(50056,9),(50057,8),(50058,8),(50059,8),(50060,6),(50061,2),(50062,8),(50063,3),(50064,5),(50065,2),(50066,3),(50067,2),(50068,1),(50069,8),(50070,6),(50071,9),(50072,7),(50073,7),(50074,1),(50075,1),(50076,1),(50077,6),(50078,6),(50079,5),(50080,8),(50081,7),(50082,1),(50083,9),(50084,8),(50085,6),(50086,9),(50087,5),(50088,1),(50089,1),(50090,6),(50091,9),(50092,4),(50093,2),(50094,1),(50095,3),(50096,6),(50097,9),(50098,4),(50099,5),(50100,1),(50101,2),(50102,7),(50103,7),(50104,2),(50105,8),(50106,5),(50107,5),(50108,1),(50109,1),(50110,5),(50111,1),(50112,3),(50113,8),(50114,5),(50115,4),(50116,9),(50117,9),(50118,3),(50119,5),(50120,3),(50121,7),(50122,7),(50123,5),(50124,1),(50125,8),(50126,3),(50127,5),(50128,2),(50129,1),(50130,4),(50131,8),(50132,3),(50133,7),(50134,7),(50135,3),(50136,9),(50137,6),(50138,2),(50139,5),(50140,2),(50141,3),(50142,4),(50143,5),(50144,7),(50145,5),(50146,1),(50147,4),(50148,6),(50149,5),(50150,8),(50151,7),(50152,4),(50153,8),(50154,4),(50155,4),(50156,2),(50157,4),(50158,6),(50159,4),(50160,9),(50161,1),(50162,5),(50163,2),(50164,8),(50165,3),(50166,6),(50167,8),(50168,4),(50169,4),(50170,6),(50171,2),(50172,8),(50173,6),(50174,8),(50175,2),(50176,5),(50177,8),(50178,1),(50179,7),(50180,8),(50181,5),(50182,5),(50183,1),(50184,9),(50185,3),(50186,7),(50187,3),(50188,4),(50189,7),(50190,2),(50191,5),(50192,4),(50193,7),(50194,7),(50195,8),(50196,2),(50197,5),(50198,2),(50199,8),(50200,6),(50201,7),(50202,2),(50203,7),(50204,1),(50205,8),(50206,6),(50207,6),(50208,3),(50209,2),(50210,1),(50211,7),(50212,3),(50213,6),(50214,4),(50215,5),(50216,5),(50217,2),(50218,8),(50219,2),(50220,6),(50221,6),(50222,3),(50223,2),(50224,3),(50225,1),(50226,2),(50227,2),(50228,6),(50229,6),(50230,2),(50231,3),(50232,8),(50233,3),(50234,3),(50235,1),(50236,1),(50237,9),(50238,4),(50239,4),(50240,7),(50241,1),(50242,3),(50243,7),(50244,2),(50245,1),(50246,6),(50247,9),(50248,4),(50249,5),(50250,7),(50251,3),(50252,4),(50253,1),(50254,7),(50255,1),(50256,3),(50257,7),(50258,7),(50259,4),(50260,2),(50261,6),(50262,8),(50263,9),(50264,8),(50265,7),(50266,1),(50267,3),(50268,8),(50269,2),(50270,9),(50271,8),(50272,2),(50273,9),(50274,6),(50275,6),(50276,8),(50277,9),(50278,2),(50279,9),(50280,1),(50281,9),(50282,4),(50283,4),(50284,1),(50285,9),(50286,2),(50287,3),(50288,5),(50289,8),(50290,1),(50291,9),(50292,8),(50293,2),(50294,1),(50295,7),(50296,3),(50297,4),(50298,8),(50299,2),(50300,2),(50301,4),(50302,6),(50303,4),(50304,8),(50305,5),(50306,2),(50307,1),(50308,7),(50309,7),(50310,7),(50311,3),(50312,9),(50313,5),(50314,3),(50315,4),(50316,6),(50317,3),(50318,4),(50319,3),(50320,7),(50321,4),(50322,7),(50323,6),(50324,2),(50325,9),(50326,1),(50327,4),(50328,1),(50329,4),(50330,2),(50331,8),(50332,8),(50333,1),(50334,2),(50335,9),(50336,8),(50337,8),(50338,1),(50339,7),(50340,8),(50341,8),(50342,5),(50343,3),(50344,4),(50345,5),(50346,6),(50347,4),(50348,9),(50349,5),(50350,8),(50351,7),(50352,2),(50353,1),(50354,1),(50355,8),(50356,8),(50357,6),(50358,4),(50359,4),(50360,2),(50361,1),(50362,8),(50363,6),(50364,5),(50365,7),(50366,1),(50367,8),(50368,6),(50369,7),(50370,1),(50371,7),(50372,6),(50373,9),(50374,5),(50375,3),(50376,1),(50377,4),(50378,6),(50379,7),(50380,9),(50381,3),(50382,6),(50383,6),(50384,3),(50385,7),(50386,1),(50387,4),(50388,3),(50389,8),(50390,3),(50391,1),(50392,8),(50393,5),(50394,3),(50395,4),(50396,7),(50397,7),(50398,8),(50399,6),(50400,7),(50401,4),(50402,1),(50403,5),(50404,8),(50405,3),(50406,8),(50407,2),(50408,3),(50409,3),(50410,7),(50411,6),(50412,7),(50413,4),(50414,6),(50415,6),(50416,2),(50417,3),(50418,1),(50419,6),(50420,4),(50421,7),(50422,9),(50423,4),(50424,8),(50425,7),(50426,5),(50427,1),(50428,6),(50429,1),(50430,3),(50431,9),(50432,8),(50433,1),(50434,8),(50435,3),(50436,2),(50437,9),(50438,7),(50439,8),(50440,6),(50441,4),(50442,8),(50443,8),(50444,3),(50445,9),(50446,9),(50447,1),(50448,9),(50449,2),(50450,9),(50451,9),(50452,6),(50453,4),(50454,3),(50455,3),(50456,5),(50457,2),(50458,2),(50459,4),(50460,2),(50461,4),(50462,9),(50463,8),(50464,3),(50465,5),(50466,9),(50467,4),(50468,4),(50469,7),(50470,5),(50471,9),(50472,3),(50473,2),(50474,5),(50475,4),(50476,9),(50477,9),(50478,6),(50479,1),(50480,2),(50481,6),(50482,5),(50483,7),(50484,3),(50485,1),(50486,9),(50487,1),(50488,3),(50489,4),(50490,2),(50491,3),(50492,6),(50493,1),(50494,4),(50495,5),(50496,7),(50497,8),(50498,1),(50499,9),(50500,5),(50501,7),(50502,6),(50503,7),(50504,2),(50505,8),(50506,6),(50507,1),(50508,6),(50509,4),(50510,6),(50511,1),(50512,7),(50513,1),(50514,3),(50515,4),(50516,6),(50517,9),(50518,8),(50519,2),(50520,3),(50521,6),(50522,3),(50523,8),(50524,5),(50525,5),(50526,9),(50527,8),(50528,9),(50529,2),(50530,7),(50531,5),(50532,6),(50533,7),(50534,7),(50535,7),(50536,8),(50537,7),(50538,9),(50539,5),(50540,6),(50541,7),(50542,1),(50543,8),(50544,7),(50545,5),(50546,6),(50547,4),(50548,6),(50549,8),(50550,5),(50551,3),(50552,5),(50553,9),(50554,2),(50555,8),(50556,5),(50557,4),(50558,4),(50559,1),(50560,7),(50561,3),(50562,9),(50563,9),(50564,9),(50565,6),(50566,9),(50567,9),(50568,8),(50569,3),(50570,2),(50571,8),(50572,5),(50573,2),(50574,9),(50575,2),(50576,3),(50577,8),(50578,9),(50579,7),(50580,5),(50581,9),(50582,4),(50583,3),(50584,1),(50585,2),(50586,6),(50587,5),(50588,4),(50589,5),(50590,6),(50591,1),(50592,8),(50593,1),(50594,5),(50595,2),(50596,7),(50597,8),(50598,1),(50599,4),(50600,7),(50601,2),(50602,5),(50603,8),(50604,6),(50605,8),(50606,9),(50607,7),(50608,9),(50609,8),(50610,5),(50611,6),(50612,8),(50613,9),(50614,3),(50615,5),(50616,9),(50617,5),(50618,9),(50619,1),(50620,3),(50621,9),(50622,9),(50623,8),(50624,7),(50625,4),(50626,2),(50627,3),(50628,8),(50629,1),(50630,9),(50631,6),(50632,6),(50633,5),(50634,1),(50635,7),(50636,4),(50637,8),(50638,8),(50639,1),(50640,8),(50641,7),(50642,9),(50643,2),(50644,5),(50645,8),(50646,5),(50647,1),(50648,6),(50649,4),(50650,1),(50651,1),(50652,4),(50653,5),(50654,3),(50655,3),(50656,8),(50657,6),(50658,5),(50659,7),(50660,7),(50661,2),(50662,7),(50663,4),(50664,6),(50665,8),(50666,9),(50667,1),(50668,2),(50669,8),(50670,2),(50671,3),(50672,8),(50673,6),(50674,1),(50675,7),(50676,9),(50677,3),(50678,5),(50679,7),(50680,7),(50681,1),(50682,1),(50683,2),(50684,6),(50685,4),(50686,6),(50687,8),(50688,5),(50689,6),(50690,9),(50691,3),(50692,1),(50693,4),(50694,8),(50695,6),(50696,5),(50697,4),(50698,8),(50699,3),(50700,4),(50701,9),(50702,1),(50703,8),(50704,6),(50705,2),(50706,7),(50707,7),(50708,4),(50709,9),(50710,2),(50711,3),(50712,7),(50713,4),(50714,3),(50715,3),(50716,4),(50717,7),(50718,9),(50719,5),(50720,4),(50721,8),(50722,3),(50723,7),(50724,5),(50725,5),(50726,7),(50727,4),(50728,3),(50729,8),(50730,9),(50731,3),(50732,2),(50733,5),(50734,2),(50735,2),(50736,3),(50737,2),(50738,7),(50739,7),(50740,9),(50741,4),(50742,9),(50743,5),(50744,5),(50745,1),(50746,5),(50747,3),(50748,1),(50749,9),(50750,4),(50751,7),(50752,5),(50753,8),(50754,4),(50755,5),(50756,2),(50757,8),(50758,8),(50759,5),(50760,4),(50761,9),(50762,4),(50763,2),(50764,3),(50765,1),(50766,6),(50767,5),(50768,5),(50769,7),(50770,9),(50771,1),(50772,5),(50773,1),(50774,9),(50775,4),(50776,1),(50777,2),(50778,5),(50779,1),(50780,6),(50781,7),(50782,4),(50783,8),(50784,3),(50785,6),(50786,1),(50787,6),(50788,5),(50789,4),(50790,8),(50791,4),(50792,6),(50793,6),(50794,7),(50795,1),(50796,3),(50797,2),(50798,6),(50799,1),(50800,2),(50801,8),(50802,3),(50803,1),(50804,7),(50805,5),(50806,4),(50807,5),(50808,2),(50809,4),(50810,9),(50811,7),(50812,3),(50813,8),(50814,3),(50815,5),(50816,5),(50817,5),(50818,8),(50819,7),(50820,8),(50821,3),(50822,5),(50823,1),(50824,8),(50825,4),(50826,3),(50827,5),(50828,6),(50829,5),(50830,4),(50831,7),(50832,1),(50833,6),(50834,8),(50835,8),(50836,6),(50837,2),(50838,6),(50839,2),(50840,2),(50841,1),(50842,2),(50843,3),(50844,7),(50845,7),(50846,6),(50847,7),(50848,4),(50849,1),(50850,1),(50851,1),(50852,5),(50853,5),(50854,3),(50855,6),(50856,3),(50857,8),(50858,4),(50859,2),(50860,4),(50861,3),(50862,8),(50863,8),(50864,5),(50865,2),(50866,1),(50867,5),(50868,6),(50869,9),(50870,1),(50871,9),(50872,8),(50873,3),(50874,5),(50875,5),(50876,9),(50877,2),(50878,1),(50879,4),(50880,5),(50881,6),(50882,1),(50883,7),(50884,5),(50885,5),(50886,4),(50887,3),(50888,3),(50889,8),(50890,9),(50891,1),(50892,7),(50893,5),(50894,8),(50895,9),(50896,4),(50897,9),(50898,2),(50899,9),(50900,8),(50901,9),(50902,2),(50903,6),(50904,3),(50905,5),(50906,2),(50907,5),(50908,1),(50909,6),(50910,2),(50911,6),(50912,8),(50913,9),(50914,6),(50915,4),(50916,9),(50917,9),(50918,1),(50919,6),(50920,1),(50921,4),(50922,5),(50923,6),(50924,4),(50925,2),(50926,5),(50927,9),(50928,1),(50929,7),(50930,3),(50931,6),(50932,4),(50933,7),(50934,1),(50935,3),(50936,5),(50937,8),(50938,4),(50939,9),(50940,9),(50941,9),(50942,4),(50943,2),(50944,4),(50945,2),(50946,2),(50947,9),(50948,2),(50949,3),(50950,1),(50951,7),(50952,4),(50953,3),(50954,6),(50955,6),(50956,4),(50957,1),(50958,9),(50959,8),(50960,7),(50961,3),(50962,3),(50963,1),(50964,7),(50965,2),(50966,4),(50967,3),(50968,3),(50969,1),(50970,2),(50971,6),(50972,1),(50973,7),(50974,8),(50975,7),(50976,8),(50977,1),(50978,5),(50979,3),(50980,8),(50981,6),(50982,3),(50983,1),(50984,8),(50985,3),(50986,3),(50987,8),(50988,8),(50989,6),(50990,6),(50991,8),(50992,7),(50993,1),(50994,9),(50995,7),(50996,9),(50997,1),(50998,9),(50999,7),(51000,9),(51001,8),(51002,9),(51003,9),(51004,4),(51005,5),(51006,8),(51007,5),(51008,7),(51009,7),(51010,1),(51011,2),(51012,9),(51013,3),(51014,3),(51015,6),(51016,2),(51017,2),(51018,4),(51019,9),(51020,6),(51021,9),(51022,7),(51023,7),(51024,4),(51025,5),(51026,4),(51027,4),(51028,6),(51029,4),(51030,9),(51031,9),(51032,3),(51033,1),(51034,9),(51035,9),(51036,6),(51037,3),(51038,2),(51039,3),(51040,2),(51041,9),(51042,1),(51043,3),(51044,9),(51045,8),(51046,9),(51047,4),(51048,6),(51049,7),(51050,7),(51051,3),(51052,4),(51053,8),(51054,8),(51055,3),(51056,9),(51057,3),(51058,2),(51059,4),(51060,2),(51061,9),(51062,2),(51063,7),(51064,5),(51065,9),(51066,4),(51067,9),(51068,4),(51069,6),(51070,5),(51071,7),(51072,3),(51073,9),(51074,5),(51075,1),(51076,1),(51077,6),(51078,6),(51079,9),(51080,3),(51081,3),(51082,9),(51083,9),(51084,1),(51085,8),(51086,4),(51087,7),(51088,7),(51089,2),(51090,5),(51091,9),(51092,5),(51093,4),(51094,8),(51095,1),(51096,2),(51097,2),(51098,5),(51099,3),(51100,8),(51101,7),(51102,2),(51103,1),(51104,6),(51105,1),(51106,2),(51107,4),(51108,7),(51109,1),(51110,9),(51111,1),(51112,3),(51113,2),(51114,6),(51115,8),(51116,9),(51117,4),(51118,7),(51119,2),(51120,1),(51121,8),(51122,5),(51123,4),(51124,2),(51125,3),(51126,6),(51127,4),(51128,6),(51129,3),(51130,5),(51131,7),(51132,5),(51133,6),(51134,9),(51135,3),(51136,9),(51137,8),(51138,8),(51139,9),(51140,6),(51141,1),(51142,5),(51143,6),(51144,1),(51145,6),(51146,2),(51147,1),(51148,2),(51149,7),(51150,5),(51151,5),(51152,2),(51153,1),(51154,8),(51155,3),(51156,4),(51157,2),(51158,2),(51159,6),(51160,4),(51161,8),(51162,2),(51163,5),(51164,9),(51165,4),(51166,2),(51167,9),(51168,4),(51169,2),(51170,3),(51171,9),(51172,6),(51173,2),(51174,5),(51175,1),(51176,3),(51177,8),(51178,7),(51179,4),(51180,1),(51181,3),(51182,6),(51183,3),(51184,3),(51185,9),(51186,6),(51187,6),(51188,3),(51189,5),(51190,3),(51191,3),(51192,2),(51193,7),(51194,2),(51195,8),(51196,6),(51197,5),(51198,2),(51199,4),(51200,6),(51201,4),(51202,4),(51203,3),(51204,5),(51205,3),(51206,6),(51207,9),(51208,5),(51209,5),(51210,9),(51211,3),(51212,7),(51213,7),(51214,5),(51215,7),(51216,5),(51217,2),(51218,4),(51219,1),(51220,9),(51221,3),(51222,7),(51223,9),(51224,5),(51225,9),(51226,6),(51227,3),(51228,9),(51229,3),(51230,5),(51231,3),(51232,2),(51233,7),(51234,6),(51235,8),(51236,9),(51237,2),(51238,3),(51239,8),(51240,2),(51241,7),(51242,7),(51243,8),(51244,1),(51245,7),(51246,2),(51247,5),(51248,5),(51249,9),(51250,1),(51251,5),(51252,6),(51253,9),(51254,8),(51255,8),(51256,1),(51257,4),(51258,4),(51259,8),(51260,2),(51261,3),(51262,3),(51263,4),(51264,1),(51265,1),(51266,5),(51267,9),(51268,1),(51269,7),(51270,1),(51271,6),(51272,2),(51273,2),(51274,7),(51275,8),(51276,8),(51277,3),(51278,7),(51279,9),(51280,9),(51281,9),(51282,1),(51283,6),(51284,2),(51285,3),(51286,6),(51287,4),(51288,9),(51289,5),(51290,6),(51291,8),(51292,7),(51293,7),(51294,5),(51295,6),(51296,8),(51297,8),(51298,7),(51299,1),(51300,6),(51301,1),(51302,7),(51303,1),(51304,5),(51305,2),(51306,9),(51307,8),(51308,7),(51309,3),(51310,3),(51311,6),(51312,3),(51313,8),(51314,7),(51315,8),(51316,5),(51317,3),(51318,8),(51319,8),(51320,7),(51321,1),(51322,9),(51323,8),(51324,6),(51325,7),(51326,4),(51327,8),(51328,9),(51329,3),(51330,6),(51331,7),(51332,6),(51333,9),(51334,5),(51335,1),(51336,5),(51337,7),(51338,5),(51339,7),(51340,2),(51341,5),(51342,3),(51343,1),(51344,3),(51345,5),(51346,7),(51347,8),(51348,5),(51349,6),(51350,2),(51351,8),(51352,7),(51353,4),(51354,2),(51355,6),(51356,2),(51357,1),(51358,3),(51359,7),(51360,2),(51361,9),(51362,5),(51363,4),(51364,7),(51365,7),(51366,6),(51367,6),(51368,5),(51369,8),(51370,3),(51371,1),(51372,5),(51373,8),(51374,5),(51375,2),(51376,3),(51377,8),(51378,3),(51379,7),(51380,9),(51381,9),(51382,8),(51383,9),(51384,2),(51385,6),(51386,8),(51387,3),(51388,2),(51389,1),(51390,8),(51391,9),(51392,4),(51393,4),(51394,8),(51395,5),(51396,9),(51397,1),(51398,1),(51399,7),(51400,6),(51401,7),(51402,7),(51403,7),(51404,1),(51405,9),(51406,3),(51407,9),(51408,4),(51409,1),(51410,3),(51411,2),(51412,7),(51413,6),(51414,3),(51415,2),(51416,7),(51417,6),(51418,4),(51419,4),(51420,8),(51421,7),(51422,2),(51423,1),(51424,3),(51425,4),(51426,6),(51427,6),(51428,6),(51429,1),(51430,2),(51431,2),(51432,5),(51433,4),(51434,5),(51435,3),(51436,9),(51437,7),(51438,2),(51439,5),(51440,8),(51441,4),(51442,8),(51443,7),(51444,1),(51445,5),(51446,2),(51447,9),(51448,5),(51449,7),(51450,9),(51451,1),(51452,1),(51453,2),(51454,7),(51455,6),(51456,9),(51457,2),(51458,8),(51459,1),(51460,5),(51461,2),(51462,1),(51463,6),(51464,9),(51465,6),(51466,5),(51467,4),(51468,3),(51469,5),(51470,8),(51471,5),(51472,5),(51473,7),(51474,9),(51475,1),(51476,9),(51477,1),(51478,1),(51479,9),(51480,6),(51481,8),(51482,1),(51483,4),(51484,7),(51485,3),(51486,6),(51487,2),(51488,5),(51489,4),(51490,1),(51491,6),(51492,4),(51493,3),(51494,7),(51495,2),(51496,1),(51497,6),(51498,7),(51499,9),(51500,5),(51501,2),(51502,7),(51503,3),(51504,9),(51505,6),(51506,9),(51507,8),(51508,7),(51509,2),(51510,8),(51511,3),(51512,8),(51513,5),(51514,7),(51515,6),(51516,5),(51517,1),(51518,5),(51519,1),(51520,9),(51521,6),(51522,2),(51523,5),(51524,8),(51525,6),(51526,4),(51527,2),(51528,7),(51529,5),(51530,4),(51531,6),(51532,7),(51533,2),(51534,9),(51535,3),(51536,4),(51537,2),(51538,2),(51539,7),(51540,8),(51541,5),(51542,6),(51543,6),(51544,1),(51545,5),(51546,7),(51547,2),(51548,7),(51549,3),(51550,8),(51551,5),(51552,7),(51553,5),(51554,4),(51555,4),(51556,4),(51557,4),(51558,1),(51559,6),(51560,7),(51561,8),(51562,1),(51563,7),(51564,4),(51565,4),(51566,7),(51567,5),(51568,1),(51569,2),(51570,2),(51571,8),(51572,5),(51573,5),(51574,4),(51575,7),(51576,3),(51577,7),(51578,7),(51579,6),(51580,5),(51581,3),(51582,1),(51583,9),(51584,4),(51585,8),(51586,9),(51587,3),(51588,9),(51589,6),(51590,1),(51591,4),(51592,2),(51593,8),(51594,2),(51595,1),(51596,8),(51597,6),(51598,4),(51599,6),(51600,5),(51601,1),(51602,8),(51603,5),(51604,8),(51605,2),(51606,2),(51607,6),(51608,7),(51609,7),(51610,5),(51611,2),(51612,9),(51613,6),(51614,8),(51615,8),(51616,7),(51617,2),(51618,5),(51619,9),(51620,5),(51621,9),(51622,7),(51623,9),(51624,9),(51625,9),(51626,3),(51627,8),(51628,5),(51629,1),(51630,6),(51631,9),(51632,1),(51633,1),(51634,1),(51635,1),(51636,9),(51637,2),(51638,2),(51639,4),(51640,9),(51641,8),(51642,1),(51643,9),(51644,1),(51645,1),(51646,2),(51647,3),(51648,1),(51649,2),(51650,6),(51651,8),(51652,3),(51653,7),(51654,5),(51655,2),(51656,3),(51657,4),(51658,1),(51659,4),(51660,8),(51661,7),(51662,1),(51663,4),(51664,8),(51665,4),(51666,8),(51667,3),(51668,4),(51669,5),(51670,1),(51671,9),(51672,6),(51673,6),(51674,2),(51675,5),(51676,2),(51677,2),(51678,3),(51679,1),(51680,2),(51681,4),(51682,5),(51683,7),(51684,9),(51685,7),(51686,3),(51687,1),(51688,2),(51689,8),(51690,8),(51691,5),(51692,3),(51693,4),(51694,3),(51695,4),(51696,7),(51697,3),(51698,7),(51699,9),(51700,4),(51701,6),(51702,7),(51703,9),(51704,8),(51705,9),(51706,3),(51707,3),(51708,1),(51709,4),(51710,6),(51711,3),(51712,8),(51713,2),(51714,5),(51715,3),(51716,5),(51717,6),(51718,8),(51719,6),(51720,9),(51721,6),(51722,1),(51723,3),(51724,6),(51725,8),(51726,3),(51727,5),(51728,1),(51729,8),(51730,4),(51731,4),(51732,1),(51733,2),(51734,4),(51735,1),(51736,2),(51737,5),(51738,4),(51739,7),(51740,7),(51741,9),(51742,8),(51743,6),(51744,1),(51745,1),(51746,5),(51747,2),(51748,5),(51749,3),(51750,7),(51751,8),(51752,7),(51753,9),(51754,6),(51755,4),(51756,1),(51757,4),(51758,7),(51759,6),(51760,1),(51761,8),(51762,9),(51763,6),(51764,4),(51765,2),(51766,5),(51767,8),(51768,3),(51769,5),(51770,5),(51771,6),(51772,9),(51773,7),(51774,6),(51775,8),(51776,2),(51777,1),(51778,4),(51779,1),(51780,7),(51781,6),(51782,1),(51783,4),(51784,8),(51785,6),(51786,7),(51787,8),(51788,5),(51789,1),(51790,6),(51791,8),(51792,9),(51793,2),(51794,6),(51795,4),(51796,6),(51797,7),(51798,4),(51799,7),(51800,5),(51801,7),(51802,6),(51803,2),(51804,8),(51805,2),(51806,8),(51807,7),(51808,6),(51809,6),(51810,4),(51811,7),(51812,2),(51813,4),(51814,7),(51815,9),(51816,1),(51817,3),(51818,4),(51819,2),(51820,6),(51821,8),(51822,3),(51823,9),(51824,9),(51825,3),(51826,5),(51827,8),(51828,4),(51829,2),(51830,7),(51831,4),(51832,2),(51833,7),(51834,6),(51835,7),(51836,8),(51837,4),(51838,3),(51839,1),(51840,8),(51841,5),(51842,5),(51843,5),(51844,8),(51845,6),(51846,7),(51847,8),(51848,7),(51849,4),(51850,8),(51851,1),(51852,8),(51853,9),(51854,3),(51855,6),(51856,2),(51857,1),(51858,5),(51859,4),(51860,6),(51861,8),(51862,8),(51863,8),(51864,2),(51865,9),(51866,2),(51867,5),(51868,8),(51869,3),(51870,5),(51871,7),(51872,7),(51873,3),(51874,1),(51875,8),(51876,5),(51877,9),(51878,8),(51879,7),(51880,2),(51881,9),(51882,8),(51883,9),(51884,1),(51885,1),(51886,8),(51887,9),(51888,8),(51889,7),(51890,7),(51891,3),(51892,4),(51893,7),(51894,9),(51895,4),(51896,7),(51897,9),(51898,8),(51899,6),(51900,6),(51901,5),(51902,2),(51903,2),(51904,3),(51905,1),(51906,6),(51907,7),(51908,8),(51909,6),(51910,7),(51911,4),(51912,1),(51913,3),(51914,9),(51915,6),(51916,5),(51917,5),(51918,5),(51919,3),(51920,5),(51921,2),(51922,1),(51923,5),(51924,5),(51925,6),(51926,1),(51927,3),(51928,8),(51929,3),(51930,8),(51931,3),(51932,5),(51933,9),(51934,2),(51935,1),(51936,3),(51937,3),(51938,4),(51939,3),(51940,9),(51941,9),(51942,2),(51943,4),(51944,4),(51945,8),(51946,8),(51947,3),(51948,2),(51949,1),(51950,5),(51951,2),(51952,7),(51953,8),(51954,3),(51955,4),(51956,7),(51957,5),(51958,7),(51959,6),(51960,2),(51961,4),(51962,4),(51963,8),(51964,3),(51965,9),(51966,8),(51967,8),(51968,6),(51969,2),(51970,7),(51971,1),(51972,5),(51973,3),(51974,2),(51975,4),(51976,4),(51977,6),(51978,5),(51979,8),(51980,6),(51981,7),(51982,4),(51983,1),(51984,7),(51985,9),(51986,8),(51987,9),(51988,7),(51989,3),(51990,6),(51991,6),(51992,7),(51993,9),(51994,8),(51995,3),(51996,2),(51997,6),(51998,1),(51999,6),(52000,4),(52001,1),(52002,3),(52003,4),(52004,3),(52005,6),(52006,3),(52007,9),(52008,8),(52009,9),(52010,8),(52011,1),(52012,1),(52013,9),(52014,4),(52015,1),(52016,4),(52017,5),(52018,5),(52019,2),(52020,2),(52021,5),(52022,3),(52023,9),(52024,6),(52025,5),(52026,7),(52027,1),(52028,5),(52029,9),(52030,9),(52031,8),(52032,2),(52033,6),(52034,6),(52035,2),(52036,1),(52037,4),(52038,8),(52039,9),(52040,1),(52041,4),(52042,2),(52043,6),(52044,4),(52045,8),(52046,6),(52047,7),(52048,8),(52049,1),(52050,1),(52051,4),(52052,3),(52053,8),(52054,2),(52055,5),(52056,6),(52057,8),(52058,6),(52059,5),(52060,2),(52061,4),(52062,8),(52063,1),(52064,8),(52065,4),(52066,7),(52067,7),(52068,5),(52069,2),(52070,6),(52071,8),(52072,5),(52073,1),(52074,8),(52075,6),(52076,6),(52077,6),(52078,4),(52079,2),(52080,2),(52081,3),(52082,1),(52083,8),(52084,7),(52085,8),(52086,9),(52087,4),(52088,5),(52089,4),(52090,9),(52091,4),(52092,8),(52093,3),(52094,6),(52095,7),(52096,8),(52097,2),(52098,2),(52099,4),(52100,3),(52101,2),(52102,1),(52103,3),(52104,5),(52105,7),(52106,5),(52107,9),(52108,3),(52109,8),(52110,2),(52111,7),(52112,1),(52113,9),(52114,4),(52115,6),(52116,1),(52117,5),(52118,7),(52119,2),(52120,6),(52121,5),(52122,7),(52123,4),(52124,5),(52125,6),(52126,5),(52127,6),(52128,7),(52129,3),(52130,9),(52131,1),(52132,9),(52133,2),(52134,5),(52135,7),(52136,3),(52137,6),(52138,2),(52139,8),(52140,3),(52141,5),(52142,1),(52143,1),(52144,3),(52145,9),(52146,2),(52147,6),(52148,4),(52149,3),(52150,2),(52151,1),(52152,4),(52153,2),(52154,3),(52155,9),(52156,6),(52157,3),(52158,3),(52159,5),(52160,4),(52161,3),(52162,3),(52163,8),(52164,3),(52165,9),(52166,7),(52167,2),(52168,5),(52169,3),(52170,1),(52171,7),(52172,1),(52173,3),(52174,4),(52175,8),(52176,3),(52177,9),(52178,7),(52179,5),(52180,7),(52181,4),(52182,6),(52183,9),(52184,5),(52185,4),(52186,8),(52187,5),(52188,8),(52189,1),(52190,4),(52191,3),(52192,4),(52193,7),(52194,3),(52195,7),(52196,1),(52197,3),(52198,1),(52199,2),(52200,8),(52201,4),(52202,7),(52203,9),(52204,7),(52205,3),(52206,3),(52207,6),(52208,5),(52209,4),(52210,6),(52211,8),(52212,9),(52213,1),(52214,1),(52215,5),(52216,7),(52217,3),(52218,4),(52219,2),(52220,4),(52221,1),(52222,8),(52223,5),(52224,6),(52225,3),(52226,1),(52227,4),(52228,9),(52229,1),(52230,2),(52231,3),(52232,5),(52233,5),(52234,1),(52235,7),(52236,9),(52237,9),(52238,1),(52239,4),(52240,5),(52241,3),(52242,1),(52243,4),(52244,6),(52245,2),(52246,7),(52247,6),(52248,3),(52249,7),(52250,7),(52251,1),(52252,9),(52253,6),(52254,3),(52255,7),(52256,8),(52257,2),(52258,5),(52259,6),(52260,2),(52261,9),(52262,1),(52263,6),(52264,7),(52265,6),(52266,6),(52267,2),(52268,1),(52269,7),(52270,6),(52271,5),(52272,8),(52273,9),(52274,7),(52275,1),(52276,6),(52277,9),(52278,5),(52279,2),(52280,1),(52281,8),(52282,6),(52283,6),(52284,3),(52285,6),(52286,6),(52287,2),(52288,4),(52289,1),(52290,1),(52291,2),(52292,9),(52293,9),(52294,1),(52295,6),(52296,6),(52297,6),(52298,2),(52299,5),(52300,3),(52301,4),(52302,6),(52303,3),(52304,6),(52305,3),(52306,2),(52307,4),(52308,7),(52309,4),(52310,3),(52311,8),(52312,9),(52313,8),(52314,9),(52315,8),(52316,8),(52317,4),(52318,5),(52319,8),(52320,5),(52321,6),(52322,2),(52323,1),(52324,8),(52325,7),(52326,7),(52327,4),(52328,1),(52329,2),(52330,5),(52331,9),(52332,3),(52333,7),(52334,9),(52335,4),(52336,2),(52337,1),(52338,3),(52339,8),(52340,4),(52341,5),(52342,6),(52343,1),(52344,5),(52345,2),(52346,2),(52347,7),(52348,1),(52349,1),(52350,7),(52351,9),(52352,3),(52353,8),(52354,8),(52355,2),(52356,7),(52357,4),(52358,2),(52359,7),(52360,8),(52361,7),(52362,1),(52363,6),(52364,1),(52365,7),(52366,4),(52367,9),(52368,9),(52369,2),(52370,1),(52371,9),(52372,7),(52373,4),(52374,3),(52375,6),(52376,7),(52377,5),(52378,7),(52379,2),(52380,5),(52381,5),(52382,3),(52383,5),(52384,5),(52385,5),(52386,6),(52387,5),(52388,2),(52389,2),(52390,6),(52391,9),(52392,8),(52393,6),(52394,3),(52395,9),(52396,9),(52397,6),(52398,8),(52399,3),(52400,7),(52401,4),(52402,5),(52403,3),(52404,2),(52405,9),(52406,8),(52407,3),(52408,7),(52409,5),(52410,1),(52411,1),(52412,8),(52413,1),(52414,9),(52415,6),(52416,5),(52417,2),(52418,2),(52419,8),(52420,8),(52421,8),(52422,9),(52423,9),(52424,8),(52425,1),(52426,8),(52427,4),(52428,5),(52429,1),(52430,9),(52431,1),(52432,1),(52433,3),(52434,4),(52435,6),(52436,4),(52437,4),(52438,8),(52439,6),(52440,5),(52441,4),(52442,5),(52443,5),(52444,2),(52445,5),(52446,1),(52447,9),(52448,9),(52449,9),(52450,4),(52451,8),(52452,7),(52453,5),(52454,2),(52455,6),(52456,6),(52457,5),(52458,4),(52459,1),(52460,4),(52461,2),(52462,5),(52463,5),(52464,6),(52465,5),(52466,2),(52467,9),(52468,7),(52469,3),(52470,7),(52471,1),(52472,5),(52473,2),(52474,2),(52475,5),(52476,1),(52477,4),(52478,7),(52479,1),(52480,5),(52481,9),(52482,5),(52483,6),(52484,7),(52485,1),(52486,1),(52487,3),(52488,7),(52489,4),(52490,7),(52491,9),(52492,9),(52493,1),(52494,1),(52495,5),(52496,9),(52497,5),(52498,6),(52499,6),(52500,9),(52501,8),(52502,7),(52503,7),(52504,1),(52505,2),(52506,8),(52507,5),(52508,5),(52509,3),(52510,8),(52511,3),(52512,5),(52513,6),(52514,6),(52515,6),(52516,2),(52517,3),(52518,3),(52519,5),(52520,7),(52521,4),(52522,1),(52523,8),(52524,3),(52525,7),(52526,8),(52527,8),(52528,1),(52529,7),(52530,1),(52531,8),(52532,1),(52533,1),(52534,6),(52535,7),(52536,3),(52537,3),(52538,7),(52539,3),(52540,1),(52541,5),(52542,6),(52543,6),(52544,5),(52545,1),(52546,7),(52547,3),(52548,5),(52549,2),(52550,6),(52551,1),(52552,4),(52553,8),(52554,4),(52555,5),(52556,3),(52557,6),(52558,2),(52559,3),(52560,2),(52561,5),(52562,9),(52563,1),(52564,5),(52565,8),(52566,1),(52567,1),(52568,3),(52569,8),(52570,6),(52571,5),(52572,8),(52573,9),(52574,7),(52575,4),(52576,2),(52577,2),(52578,6),(52579,6),(52580,7),(52581,8),(52582,6),(52583,3),(52584,3),(52585,8),(52586,1),(52587,5),(52588,6),(52589,6),(52590,2),(52591,3),(52592,2),(52593,8),(52594,7),(52595,3),(52596,3),(52597,6),(52598,2),(52599,4),(52600,8),(52601,9),(52602,4),(52603,4),(52604,1),(52605,1),(52606,6),(52607,1),(52608,1),(52609,1),(52610,6),(52611,6),(52612,9),(52613,2),(52614,8),(52615,4),(52616,6),(52617,7),(52618,3),(52619,6),(52620,2),(52621,8),(52622,4),(52623,3),(52624,8),(52625,1),(52626,5),(52627,7),(52628,8),(52629,2),(52630,8),(52631,8),(52632,8),(52633,7),(52634,5),(52635,4),(52636,9),(52637,6),(52638,3),(52639,7),(52640,8),(52641,3),(52642,6),(52643,9),(52644,5),(52645,2),(52646,8),(52647,2),(52648,4),(52649,4),(52650,8),(52651,4),(52652,8),(52653,7),(52654,6),(52655,5),(52656,8),(52657,5),(52658,6),(52659,2),(52660,8),(52661,8),(52662,8),(52663,3),(52664,3),(52665,9),(52666,2),(52667,6),(52668,7),(52669,1),(52670,3),(52671,6),(52672,7),(52673,2),(52674,8),(52675,8),(52676,8),(52677,2),(52678,4),(52679,9),(52680,8),(52681,6),(52682,3),(52683,2),(52684,1),(52685,3),(52686,8),(52687,8),(52688,2),(52689,5),(52690,2),(52691,7),(52692,8),(52693,2),(52694,9),(52695,7),(52696,5),(52697,1),(52698,4),(52699,5),(52700,5),(52701,2),(52702,2),(52703,4),(52704,4),(52705,9),(52706,4),(52707,2),(52708,2),(52709,4),(52710,6),(52711,7),(52712,9),(52713,4),(52714,2),(52715,6),(52716,4),(52717,9),(52718,6),(52719,9),(52720,5),(52721,3),(52722,7),(52723,2),(52724,8),(52725,2),(52726,9),(52727,9),(52728,1),(52729,6),(52730,7),(52731,2),(52732,1),(52733,7),(52734,6),(52735,5),(52736,4),(52737,1),(52738,8),(52739,9),(52740,5),(52741,3),(52742,7),(52743,5),(52744,2),(52745,1),(52746,9),(52747,7),(52748,3),(52749,1),(52750,9),(52751,7),(52752,1),(52753,6),(52754,1),(52755,2),(52756,4),(52757,8),(52758,1),(52759,8),(52760,3),(52761,5),(52762,3),(52763,4),(52764,1),(52765,1),(52766,9),(52767,9),(52768,9),(52769,7),(52770,3),(52771,6),(52772,7),(52773,7),(52774,9),(52775,4),(52776,1),(52777,5),(52778,8),(52779,1),(52780,9),(52781,2),(52782,2),(52783,6),(52784,1),(52785,5),(52786,5),(52787,8),(52788,8),(52789,6),(52790,8),(52791,6),(52792,2),(52793,5),(52794,1),(52795,8),(52796,9),(52797,1),(52798,6),(52799,8),(52800,7),(52801,2),(52802,2),(52803,8),(52804,1),(52805,2),(52806,2),(52807,2),(52808,8),(52809,1),(52810,4),(52811,9),(52812,1),(52813,8),(52814,2),(52815,4),(52816,1),(52817,7),(52818,5),(52819,2),(52820,9),(52821,2),(52822,7),(52823,1),(52824,7),(52825,5),(52826,3),(52827,9),(52828,1),(52829,1),(52830,9),(52831,6),(52832,1),(52833,3),(52834,8),(52835,1),(52836,1),(52837,8),(52838,1),(52839,9),(52840,9),(52841,5),(52842,6),(52843,4),(52844,9),(52845,2),(52846,1),(52847,5),(52848,6),(52849,5),(52850,4),(52851,6),(52852,1),(52853,5),(52854,6),(52855,5),(52856,7),(52857,2),(52858,1),(52859,1),(52860,9),(52861,1),(52862,7),(52863,9),(52864,5),(52865,8),(52866,4),(52867,8),(52868,9),(52869,2),(52870,7),(52871,7),(52872,5),(52873,9),(52874,7),(52875,8),(52876,9),(52877,6),(52878,3),(52879,7),(52880,6),(52881,8),(52882,8),(52883,5),(52884,5),(52885,7),(52886,1),(52887,2),(52888,6),(52889,3),(52890,4),(52891,8),(52892,8),(52893,8),(52894,8),(52895,5),(52896,3),(52897,2),(52898,6),(52899,7),(52900,4),(52901,8),(52902,2),(52903,5),(52904,9),(52905,4),(52906,9),(52907,4),(52908,9),(52909,5),(52910,7),(52911,8),(52912,5),(52913,2),(52914,9),(52915,4),(52916,7),(52917,9),(52918,3),(52919,6),(52920,1),(52921,6),(52922,1),(52923,8),(52924,2),(52925,7),(52926,8),(52927,7),(52928,7),(52929,5),(52930,5),(52931,9),(52932,4),(52933,6),(52934,8),(52935,7),(52936,6),(52937,6),(52938,1),(52939,4),(52940,9),(52941,4),(52942,8),(52943,2),(52944,2),(52945,4),(52946,6),(52947,9),(52948,5),(52949,3),(52950,1),(52951,2),(52952,8),(52953,7),(52954,8),(52955,6),(52956,1),(52957,7),(52958,2),(52959,1),(52960,4),(52961,6),(52962,4),(52963,1),(52964,8),(52965,7),(52966,6),(52967,3),(52968,4),(52969,9),(52970,7),(52971,3),(52972,7),(52973,4),(52974,7),(52975,4),(52976,7),(52977,9),(52978,1),(52979,6),(52980,9),(52981,7),(52982,1),(52983,7),(52984,9),(52985,4),(52986,3),(52987,6),(52988,3),(52989,3),(52990,1),(52991,1),(52992,4),(52993,4),(52994,9),(52995,6),(52996,6),(52997,9),(52998,8),(52999,3),(53000,4),(53001,3),(53002,6),(53003,7),(53004,3),(53005,2),(53006,5),(53007,9),(53008,1),(53009,8),(53010,3),(53011,2),(53012,5),(53013,1),(53014,8),(53015,4),(53016,6),(53017,9),(53018,9),(53019,4),(53020,1),(53021,6),(53022,2),(53023,3),(53024,2),(53025,8),(53026,4),(53027,3),(53028,8),(53029,9),(53030,5),(53031,5),(53032,8),(53033,9),(53034,1),(53035,3),(53036,5),(53037,7),(53038,1),(53039,4),(53040,3),(53041,1),(53042,1),(53043,9),(53044,9),(53045,4),(53046,4),(53047,4),(53048,3),(53049,6),(53050,9),(53051,3),(53052,6),(53053,6),(53054,2),(53055,2),(53056,8),(53057,4),(53058,2),(53059,3),(53060,2),(53061,3),(53062,6),(53063,3),(53064,4),(53065,3),(53066,7),(53067,9),(53068,4),(53069,7),(53070,8),(53071,6),(53072,1),(53073,5),(53074,9),(53075,2),(53076,4),(53077,6),(53078,1),(53079,2),(53080,8),(53081,6),(53082,2),(53083,4),(53084,8),(53085,2),(53086,8),(53087,1),(53088,5),(53089,4),(53090,7),(53091,3),(53092,9),(53093,7),(53094,2),(53095,6),(53096,5),(53097,1),(53098,2),(53099,5),(53100,4),(53101,9),(53102,9),(53103,1),(53104,7),(53105,9),(53106,5),(53107,2),(53108,2),(53109,2),(53110,7),(53111,3),(53112,9),(53113,7),(53114,5),(53115,2),(53116,3),(53117,2),(53118,1),(53119,5),(53120,6),(53121,2),(53122,2),(53123,4),(53124,6),(53125,4),(53126,6),(53127,4),(53128,9),(53129,5),(53130,1),(53131,7),(53132,5),(53133,6),(53134,7),(53135,9),(53136,9),(53137,7),(53138,6),(53139,6),(53140,4),(53141,5),(53142,4),(53143,8),(53144,3),(53145,8),(53146,8),(53147,8),(53148,4),(53149,4),(53150,1),(53151,6),(53152,4),(53153,7),(53154,9),(53155,8),(53156,3),(53157,2),(53158,7),(53159,2),(53160,4),(53161,4),(53162,4),(53163,4),(53164,8),(53165,1),(53166,1),(53167,6),(53168,3),(53169,1),(53170,5),(53171,4),(53172,6),(53173,5),(53174,2),(53175,1),(53176,2),(53177,9),(53178,5),(53179,6),(53180,9),(53181,7),(53182,7),(53183,2),(53184,2),(53185,6),(53186,6),(53187,7),(53188,2),(53189,6),(53190,7),(53191,2),(53192,6),(53193,5),(53194,4),(53195,4),(53196,8),(53197,4),(53198,2),(53199,4),(53200,8),(53201,1),(53202,6),(53203,9),(53204,3),(53205,6),(53206,1),(53207,6),(53208,5),(53209,2),(53210,7),(53211,8),(53212,9),(53213,6),(53214,8),(53215,4),(53216,4),(53217,1),(53218,4),(53219,5),(53220,4),(53221,7),(53222,1),(53223,4),(53224,2),(53225,1),(53226,7),(53227,4),(53228,2),(53229,8),(53230,8),(53231,9),(53232,6),(53233,1),(53234,7),(53235,1),(53236,6),(53237,5),(53238,9),(53239,6),(53240,9),(53241,7),(53242,4),(53243,4),(53244,5),(53245,8),(53246,4),(53247,9),(53248,3),(53249,5),(53250,4),(53251,4),(53252,4),(53253,9),(53254,1),(53255,4),(53256,4),(53257,3),(53258,8),(53259,2),(53260,4),(53261,9),(53262,7),(53263,2),(53264,9),(53265,1),(53266,9),(53267,9),(53268,8),(53269,4),(53270,7),(53271,5),(53272,9),(53273,9),(53274,2),(53275,7),(53276,2),(53277,8),(53278,7),(53279,9),(53280,1),(53281,1),(53282,2),(53283,6),(53284,4),(53285,1),(53286,1),(53287,6),(53288,5),(53289,2),(53290,1),(53291,2),(53292,2),(53293,7),(53294,7),(53295,7),(53296,8),(53297,9),(53298,3),(53299,2),(53300,5),(53301,4),(53302,8),(53303,2),(53304,4),(53305,1),(53306,7),(53307,2),(53308,1),(53309,2),(53310,3),(53311,4),(53312,6),(53313,3),(53314,8),(53315,7),(53316,3),(53317,6),(53318,1),(53319,2),(53320,1),(53321,8),(53322,8),(53323,6),(53324,4),(53325,1),(53326,9),(53327,9),(53328,3),(53329,6),(53330,5),(53331,1),(53332,8),(53333,6),(53334,3),(53335,6),(53336,4),(53337,3),(53338,5),(53339,5),(53340,5),(53341,7),(53342,5),(53343,9),(53344,4),(53345,8),(53346,6),(53347,1),(53348,1),(53349,6),(53350,8),(53351,9),(53352,7),(53353,7),(53354,1),(53355,9),(53356,5),(53357,9),(53358,8),(53359,2),(53360,8),(53361,5),(53362,7),(53363,2),(53364,7),(53365,9),(53366,7),(53367,1),(53368,7),(53369,7),(53370,8),(53371,6),(53372,9),(53373,8),(53374,1),(53375,3),(53376,7),(53377,9),(53378,3),(53379,5),(53380,2),(53381,6),(53382,4),(53383,8),(53384,8),(53385,1),(53386,5),(53387,6),(53388,9),(53389,8),(53390,2),(53391,4),(53392,8),(53393,1),(53394,9),(53395,2),(53396,4),(53397,4),(53398,8),(53399,2),(53400,8),(53401,1),(53402,8),(53403,8),(53404,9),(53405,8),(53406,5),(53407,5),(53408,9),(53409,2),(53410,4),(53411,6),(53412,4),(53413,8),(53414,1),(53415,9),(53416,3),(53417,9),(53418,5),(53419,5),(53420,1),(53421,7),(53422,5),(53423,8),(53424,4),(53425,7),(53426,9),(53427,9),(53428,5),(53429,1),(53430,9),(53431,8),(53432,4),(53433,2),(53434,8),(53435,2),(53436,5),(53437,2),(53438,5),(53439,7),(53440,5),(53441,3),(53442,3),(53443,8),(53444,7),(53445,1),(53446,2),(53447,5),(53448,7),(53449,5),(53450,7),(53451,3),(53452,2),(53453,1),(53454,9),(53455,4),(53456,7),(53457,3),(53458,2),(53459,9),(53460,5),(53461,8),(53462,4),(53463,3),(53464,2),(53465,4),(53466,3),(53467,5),(53468,6),(53469,9),(53470,2),(53471,3),(53472,8),(53473,2),(53474,2),(53475,2),(53476,9),(53477,2),(53478,1),(53479,2),(53480,1),(53481,5),(53482,7),(53483,2),(53484,8),(53485,4),(53486,7),(53487,9),(53488,4),(53489,7),(53490,7),(53491,5),(53492,6),(53493,3),(53494,1),(53495,3),(53496,9),(53497,1),(53498,4),(53499,2),(53500,1),(53501,3),(53502,8),(53503,2),(53504,6),(53505,5),(53506,1),(53507,4),(53508,9),(53509,9),(53510,9),(53511,5),(53512,7),(53513,3),(53514,2),(53515,1),(53516,1),(53517,8),(53518,7),(53519,3),(53520,8),(53521,2),(53522,5),(53523,8),(53524,1),(53525,1),(53526,3),(53527,5),(53528,9),(53529,8),(53530,5),(53531,7),(53532,5),(53533,1),(53534,5),(53535,8),(53536,9),(53537,6),(53538,7),(53539,1),(53540,4),(53541,6),(53542,4),(53543,3),(53544,1),(53545,2),(53546,3),(53547,8),(53548,3),(53549,6),(53550,9),(53551,3),(53552,4),(53553,9),(53554,3),(53555,6),(53556,4),(53557,2),(53558,4),(53559,5),(53560,9),(53561,2),(53562,6),(53563,6),(53564,4),(53565,1),(53566,8),(53567,6),(53568,2),(53569,9),(53570,2),(53571,7),(53572,9),(53573,5),(53574,9),(53575,3),(53576,9),(53577,8),(53578,9),(53579,4),(53580,3),(53581,2),(53582,3),(53583,6),(53584,3),(53585,7),(53586,9),(53587,9),(53588,4),(53589,8),(53590,5),(53591,4),(53592,8),(53593,2),(53594,2),(53595,2),(53596,3),(53597,3),(53598,1),(53599,6),(53600,2),(53601,4),(53602,9),(53603,3),(53604,5),(53605,7),(53606,2),(53607,3),(53608,7),(53609,6),(53610,8),(53611,2),(53612,9),(53613,1),(53614,2),(53615,3),(53616,8),(53617,1),(53618,1),(53619,4),(53620,4),(53621,5),(53622,1),(53623,2),(53624,7),(53625,8),(53626,8),(53627,2),(53628,2),(53629,8),(53630,7),(53631,9),(53632,5),(53633,4),(53634,1),(53635,3),(53636,9),(53637,6),(53638,1),(53639,8),(53640,3),(53641,3),(53642,8),(53643,5),(53644,9),(53645,4),(53646,1),(53647,1),(53648,3),(53649,4),(53650,5),(53651,7),(53652,6),(53653,7),(53654,4),(53655,1),(53656,1),(53657,1),(53658,3),(53659,1),(53660,5),(53661,8),(53662,1),(53663,3),(53664,6),(53665,9),(53666,5),(53667,3),(53668,2),(53669,7),(53670,5),(53671,1),(53672,5),(53673,9),(53674,4),(53675,7),(53676,4),(53677,6),(53678,9),(53679,6),(53680,9),(53681,9),(53682,9),(53683,1),(53684,8),(53685,8),(53686,4),(53687,8),(53688,4),(53689,4),(53690,1),(53691,3),(53692,9),(53693,7),(53694,1),(53695,2),(53696,1),(53697,8),(53698,4),(53699,6),(53700,7),(53701,5),(53702,2),(53703,1),(53704,7),(53705,7),(53706,7),(53707,4),(53708,7),(53709,3),(53710,2),(53711,3),(53712,7),(53713,1),(53714,1),(53715,1),(53716,5),(53717,8),(53718,9),(53719,8),(53720,6),(53721,4),(53722,9),(53723,8),(53724,1),(53725,5),(53726,2),(53727,3),(53728,9),(53729,9),(53730,8),(53731,1),(53732,9),(53733,9),(53734,5),(53735,1),(53736,2),(53737,5),(53738,5),(53739,2),(53740,9),(53741,9),(53742,3),(53743,5),(53744,5),(53745,1),(53746,5),(53747,4),(53748,7),(53749,8),(53750,8),(53751,6),(53752,1),(53753,7),(53754,8),(53755,6),(53756,7),(53757,8),(53758,8),(53759,9),(53760,7),(53761,1),(53762,5),(53763,6),(53764,2),(53765,1),(53766,7),(53767,8),(53768,8),(53769,2),(53770,8),(53771,9),(53772,1),(53773,2),(53774,6),(53775,8),(53776,3),(53777,9),(53778,4),(53779,9),(53780,8),(53781,7),(53782,9),(53783,9),(53784,4),(53785,8),(53786,3),(53787,4),(53788,5),(53789,8),(53790,2),(53791,8),(53792,2),(53793,8),(53794,8),(53795,5),(53796,2),(53797,5),(53798,2),(53799,7),(53800,1),(53801,5),(53802,9),(53803,2),(53804,6),(53805,4),(53806,1),(53807,1),(53808,2),(53809,8),(53810,1),(53811,4),(53812,2),(53813,2),(53814,6),(53815,4),(53816,3),(53817,9),(53818,6),(53819,6),(53820,6),(53821,5),(53822,9),(53823,8),(53824,5),(53825,4),(53826,6),(53827,8),(53828,7),(53829,5),(53830,3),(53831,6),(53832,3),(53833,9),(53834,1),(53835,2),(53836,3),(53837,4),(53838,1),(53839,4),(53840,8),(53841,1),(53842,2),(53843,9),(53844,5),(53845,1),(53846,1),(53847,9),(53848,5),(53849,5),(53850,9),(53851,6),(53852,6),(53853,4),(53854,9),(53855,2),(53856,9),(53857,2),(53858,4),(53859,3),(53860,8),(53861,8),(53862,8),(53863,9),(53864,5),(53865,5),(53866,9),(53867,5),(53868,5),(53869,7),(53870,5),(53871,8),(53872,7),(53873,1),(53874,5),(53875,9),(53876,9),(53877,3),(53878,5),(53879,2),(53880,5),(53881,6),(53882,4),(53883,6),(53884,4),(53885,6),(53886,2),(53887,5),(53888,5),(53889,6),(53890,1),(53891,3),(53892,3),(53893,5),(53894,5),(53895,7),(53896,7),(53897,7),(53898,9),(53899,3),(53900,3),(53901,6),(53902,5),(53903,5),(53904,6),(53905,7),(53906,8),(53907,6),(53908,4),(53909,9),(53910,1),(53911,9),(53912,5),(53913,3),(53914,5),(53915,7),(53916,2),(53917,3),(53918,7),(53919,3),(53920,2),(53921,4),(53922,8),(53923,7),(53924,5),(53925,3),(53926,8),(53927,5),(53928,9),(53929,2),(53930,7),(53931,7),(53932,9),(53933,9),(53934,8),(53935,2),(53936,9),(53937,7),(53938,9),(53939,4),(53940,2),(53941,2),(53942,7),(53943,5),(53944,2),(53945,7),(53946,2),(53947,7),(53948,4),(53949,6),(53950,3),(53951,7),(53952,6),(53953,7),(53954,6),(53955,3),(53956,2),(53957,8),(53958,4),(53959,2),(53960,7),(53961,5),(53962,5),(53963,4),(53964,6),(53965,2),(53966,3),(53967,5),(53968,1),(53969,7),(53970,8),(53971,1),(53972,1),(53973,4),(53974,2),(53975,3),(53976,8),(53977,3),(53978,3),(53979,7),(53980,5),(53981,4),(53982,7),(53983,4),(53984,6),(53985,3),(53986,7),(53987,1),(53988,7),(53989,2),(53990,4),(53991,4),(53992,6),(53993,8),(53994,3),(53995,4),(53996,9),(53997,2),(53998,6),(53999,3),(54000,6),(54001,8),(54002,3),(54003,8),(54004,5),(54005,4),(54006,3),(54007,9),(54008,8),(54009,9),(54010,2),(54011,6),(54012,8),(54013,7),(54014,7),(54015,6),(54016,2),(54017,8),(54018,7),(54019,8),(54020,5),(54021,9),(54022,6),(54023,4),(54024,6),(54025,5),(54026,8),(54027,3),(54028,6),(54029,1),(54030,5),(54031,7),(54032,9),(54033,9),(54034,7),(54035,3),(54036,7),(54037,3),(54038,1),(54039,7),(54040,7),(54041,7),(54042,4),(54043,4),(54044,1),(54045,9),(54046,8),(54047,2),(54048,9),(54049,1),(54050,1),(54051,7),(54052,3),(54053,6),(54054,5),(54055,3),(54056,6),(54057,5),(54058,4),(54059,1),(54060,8),(54061,8),(54062,4),(54063,9),(54064,3),(54065,2),(54066,1),(54067,4),(54068,8),(54069,2),(54070,4),(54071,7),(54072,1),(54073,3),(54074,1),(54075,3),(54076,2),(54077,5),(54078,8),(54079,8),(54080,4),(54081,2),(54082,6),(54083,7),(54084,3),(54085,4),(54086,2),(54087,9),(54088,4),(54089,7),(54090,6),(54091,2),(54092,4),(54093,5),(54094,6),(54095,2),(54096,3),(54097,6),(54098,5),(54099,3),(54100,3),(54101,7),(54102,5),(54103,6),(54104,4),(54105,7),(54106,6),(54107,6),(54108,8),(54109,7),(54110,5),(54111,4),(54112,3),(54113,3),(54114,9),(54115,6),(54116,6),(54117,3),(54118,5),(54119,9),(54120,1),(54121,4),(54122,5),(54123,4),(54124,4),(54125,4),(54126,8),(54127,2),(54128,8),(54129,2),(54130,3),(54131,6),(54132,2),(54133,1),(54134,3),(54135,2),(54136,6),(54137,8),(54138,4),(54139,3),(54140,2),(54141,2),(54142,2),(54143,5),(54144,5),(54145,5),(54146,4),(54147,1),(54148,1),(54149,8),(54150,5),(54151,6),(54152,1),(54153,5),(54154,8),(54155,4),(54156,5),(54157,7),(54158,1),(54159,7),(54160,4),(54161,5),(54162,5),(54163,5),(54164,9),(54165,8),(54166,7),(54167,8),(54168,1),(54169,5),(54170,1),(54171,4),(54172,4),(54173,7),(54174,9),(54175,9),(54176,7),(54177,8),(54178,5),(54179,2),(54180,2),(54181,4),(54182,2),(54183,6),(54184,3),(54185,8),(54186,7),(54187,3),(54188,5),(54189,2),(54190,5),(54191,1),(54192,1),(54193,8),(54194,6),(54195,3),(54196,7),(54197,2),(54198,6),(54199,2),(54200,8),(54201,6),(54202,7),(54203,9),(54204,6),(54205,1),(54206,5),(54207,4),(54208,6),(54209,8),(54210,8),(54211,4),(54212,4),(54213,7),(54214,8),(54215,5),(54216,2),(54217,9),(54218,2),(54219,3),(54220,4),(54221,7),(54222,6),(54223,3),(54224,2),(54225,8),(54226,6),(54227,3),(54228,2),(54229,4),(54230,4),(54231,4),(54232,4),(54233,7),(54234,1),(54235,1),(54236,4),(54237,2),(54238,2),(54239,7),(54240,5),(54241,9),(54242,5),(54243,3),(54244,4),(54245,9),(54246,6),(54247,7),(54248,1),(54249,3),(54250,5),(54251,3),(54252,5),(54253,5),(54254,3),(54255,5),(54256,4),(54257,5),(54258,4),(54259,3),(54260,8),(54261,3),(54262,2),(54263,8),(54264,8),(54265,7),(54266,4),(54267,7),(54268,2),(54269,5),(54270,5),(54271,7),(54272,2),(54273,3),(54274,6),(54275,3),(54276,7),(54277,3),(54278,7),(54279,9),(54280,2),(54281,6),(54282,4),(54283,2),(54284,3),(54285,4),(54286,3),(54287,1),(54288,8),(54289,4),(54290,2),(54291,6),(54292,4),(54293,3),(54294,9),(54295,5),(54296,3),(54297,8),(54298,1),(54299,2),(54300,4),(54301,3),(54302,7),(54303,2),(54304,3),(54305,7),(54306,5),(54307,3),(54308,9),(54309,9),(54310,3),(54311,8),(54312,2),(54313,7),(54314,8),(54315,1),(54316,1),(54317,9),(54318,1),(54319,2),(54320,7),(54321,6),(54322,2),(54323,7),(54324,5),(54325,3),(54326,2),(54327,8),(54328,6),(54329,6),(54330,1),(54331,7),(54332,6),(54333,5),(54334,2),(54335,3),(54336,7),(54337,1),(54338,2),(54339,4),(54340,2),(54341,7),(54342,1),(54343,9),(54344,7),(54345,1),(54346,5),(54347,6),(54348,1),(54349,8),(54350,2),(54351,5),(54352,2),(54353,6),(54354,1),(54355,4),(54356,1),(54357,1),(54358,3),(54359,3),(54360,1),(54361,1),(54362,4),(54363,8),(54364,2),(54365,1),(54366,1),(54367,8),(54368,6),(54369,7),(54370,2),(54371,5),(54372,1),(54373,6),(54374,1),(54375,9),(54376,5),(54377,9),(54378,7),(54379,8),(54380,7),(54381,6),(54382,2),(54383,4),(54384,6),(54385,7),(54386,5),(54387,1),(54388,9),(54389,2),(54390,5),(54391,9),(54392,6),(54393,3),(54394,4),(54395,2),(54396,5),(54397,3),(54398,8),(54399,9),(54400,2),(54401,9),(54402,7),(54403,7),(54404,7),(54405,4),(54406,2),(54407,5),(54408,7),(54409,3),(54410,9),(54411,2),(54412,5),(54413,7),(54414,5),(54415,7),(54416,7),(54417,7),(54418,9),(54419,4),(54420,8),(54421,7),(54422,4),(54423,4),(54424,7),(54425,1),(54426,8),(54427,6),(54428,1),(54429,1),(54430,4),(54431,1),(54432,6),(54433,2),(54434,4),(54435,3),(54436,5),(54437,2),(54438,6),(54439,5),(54440,1),(54441,3),(54442,7),(54443,2),(54444,6),(54445,1),(54446,2),(54447,2),(54448,4),(54449,6),(54450,2),(54451,1),(54452,5),(54453,3),(54454,6),(54455,3),(54456,6),(54457,4),(54458,8),(54459,2),(54460,3),(54461,7),(54462,5),(54463,7),(54464,2),(54465,8),(54466,9),(54467,5),(54468,6),(54469,1),(54470,6),(54471,2),(54472,5),(54473,5),(54474,6),(54475,9),(54476,4),(54477,8),(54478,6),(54479,1),(54480,4),(54481,2),(54482,8),(54483,5),(54484,8),(54485,8),(54486,6),(54487,2),(54488,9),(54489,2),(54490,2),(54491,3),(54492,7),(54493,9),(54494,6),(54495,9),(54496,8),(54497,4),(54498,6),(54499,7),(54500,3),(54501,5),(54502,3),(54503,2),(54504,3),(54505,1),(54506,9),(54507,7),(54508,4),(54509,4),(54510,5),(54511,7),(54512,1),(54513,8),(54514,8),(54515,6),(54516,7),(54517,7),(54518,1),(54519,1),(54520,4),(54521,3),(54522,8),(54523,2),(54524,6),(54525,8),(54526,5),(54527,3),(54528,8),(54529,4),(54530,9),(54531,7),(54532,5),(54533,8),(54534,2),(54535,1),(54536,8),(54537,4),(54538,4),(54539,7),(54540,9),(54541,1),(54542,1),(54543,4),(54544,4),(54545,9),(54546,9),(54547,7),(54548,6),(54549,8),(54550,1),(54551,8),(54552,2),(54553,2),(54554,7),(54555,3),(54556,9),(54557,5),(54558,1),(54559,7),(54560,5),(54561,1),(54562,7),(54563,2),(54564,9),(54565,2),(54566,7),(54567,1),(54568,4),(54569,4),(54570,9),(54571,1),(54572,9),(54573,8),(54574,1),(54575,5),(54576,4),(54577,1),(54578,9),(54579,7),(54580,6),(54581,6),(54582,2),(54583,7),(54584,2),(54585,5),(54586,4),(54587,8),(54588,3),(54589,6),(54590,2),(54591,8),(54592,6),(54593,5),(54594,7),(54595,8),(54596,1),(54597,9),(54598,7),(54599,4),(54600,3),(54601,2),(54602,8),(54603,4),(54604,1),(54605,3),(54606,4),(54607,7),(54608,8),(54609,7),(54610,7),(54611,3),(54612,2),(54613,7),(54614,4),(54615,1),(54616,6),(54617,5),(54618,7),(54619,4),(54620,4),(54621,1),(54622,5),(54623,6),(54624,4),(54625,5),(54626,2),(54627,3),(54628,6),(54629,5),(54630,4),(54631,4),(54632,9),(54633,9),(54634,2),(54635,6),(54636,1),(54637,3),(54638,7),(54639,3),(54640,5),(54641,2),(54642,8),(54643,2),(54644,6),(54645,7),(54646,8),(54647,6),(54648,4),(54649,5),(54650,7),(54651,2),(54652,9),(54653,1),(54654,8),(54655,5),(54656,9),(54657,4),(54658,5),(54659,5),(54660,4),(54661,6),(54662,5),(54663,3),(54664,5),(54665,2),(54666,7),(54667,3),(54668,9),(54669,8),(54670,9),(54671,3),(54672,8),(54673,8),(54674,9),(54675,8),(54676,4),(54677,3),(54678,8),(54679,9),(54680,5),(54681,3),(54682,2),(54683,9),(54684,3),(54685,4),(54686,4),(54687,2),(54688,1),(54689,9),(54690,1),(54691,6),(54692,5),(54693,4),(54694,3),(54695,4),(54696,4),(54697,6),(54698,4),(54699,4),(54700,7),(54701,2),(54702,2),(54703,9),(54704,8),(54705,4),(54706,1),(54707,9),(54708,1),(54709,3),(54710,4),(54711,9),(54712,2),(54713,1),(54714,1),(54715,7),(54716,9),(54717,9),(54718,1),(54719,7),(54720,8),(54721,9),(54722,1),(54723,2),(54724,8),(54725,1),(54726,6),(54727,1),(54728,5),(54729,3),(54730,7),(54731,2),(54732,5),(54733,3),(54734,2),(54735,4),(54736,9),(54737,8),(54738,2),(54739,1),(54740,1),(54741,3),(54742,2),(54743,5),(54744,8),(54745,2),(54746,8),(54747,8),(54748,2),(54749,8),(54750,4),(54751,8),(54752,9),(54753,2),(54754,4),(54755,1),(54756,5),(54757,8),(54758,5),(54759,4),(54760,5),(54761,9),(54762,4),(54763,9),(54764,6),(54765,7),(54766,1),(54767,9),(54768,8),(54769,1),(54770,6),(54771,9),(54772,1),(54773,6),(54774,8),(54775,7),(54776,6),(54777,4),(54778,2),(54779,8),(54780,8),(54781,8),(54782,3),(54783,8),(54784,5),(54785,6),(54786,4),(54787,9),(54788,8),(54789,8),(54790,8),(54791,6),(54792,3),(54793,1),(54794,9),(54795,3),(54796,9),(54797,9),(54798,2),(54799,2),(54800,9),(54801,1),(54802,4),(54803,7),(54804,1),(54805,3),(54806,2),(54807,9),(54808,7),(54809,7),(54810,6),(54811,2),(54812,4),(54813,9),(54814,3),(54815,8),(54816,5),(54817,5),(54818,1),(54819,2),(54820,3),(54821,5),(54822,5),(54823,3),(54824,8),(54825,2),(54826,7),(54827,5),(54828,4),(54829,4),(54830,3),(54831,3),(54832,1),(54833,8),(54834,6),(54835,5),(54836,5),(54837,3),(54838,2),(54839,5),(54840,2),(54841,9),(54842,5),(54843,4),(54844,6),(54845,4),(54846,4),(54847,6),(54848,3),(54849,3),(54850,3),(54851,2),(54852,8),(54853,3),(54854,7),(54855,6),(54856,3),(54857,4),(54858,4),(54859,5),(54860,9),(54861,7),(54862,4),(54863,1),(54864,1),(54865,6),(54866,9),(54867,9),(54868,1),(54869,8),(54870,3),(54871,2),(54872,8),(54873,8),(54874,2),(54875,7),(54876,1),(54877,6),(54878,4),(54879,3),(54880,9),(54881,6),(54882,5),(54883,7),(54884,6),(54885,1),(54886,5),(54887,7),(54888,9),(54889,9),(54890,2),(54891,5),(54892,2),(54893,2),(54894,1),(54895,1),(54896,8),(54897,6),(54898,4),(54899,9),(54900,3),(54901,8),(54902,4),(54903,5),(54904,1),(54905,9),(54906,4),(54907,3),(54908,7),(54909,2),(54910,2),(54911,9),(54912,9),(54913,7),(54914,7),(54915,7),(54916,8),(54917,7),(54918,5),(54919,9),(54920,3),(54921,3),(54922,3),(54923,8),(54924,9),(54925,7),(54926,3),(54927,5),(54928,4),(54929,4),(54930,3),(54931,7),(54932,9),(54933,9),(54934,3),(54935,9),(54936,4),(54937,7),(54938,9),(54939,3),(54940,1),(54941,8),(54942,9),(54943,1),(54944,3),(54945,6),(54946,3),(54947,6),(54948,8),(54949,6),(54950,4),(54951,4),(54952,8),(54953,8),(54954,3),(54955,2),(54956,6),(54957,7),(54958,4),(54959,2),(54960,8),(54961,9),(54962,8),(54963,5),(54964,3),(54965,5),(54966,4),(54967,8),(54968,3),(54969,8),(54970,7),(54971,7),(54972,9),(54973,4),(54974,5),(54975,6),(54976,4),(54977,8),(54978,8),(54979,7),(54980,7),(54981,2),(54982,3),(54983,1),(54984,9),(54985,1),(54986,6),(54987,2),(54988,2),(54989,6),(54990,2),(54991,3),(54992,8),(54993,3),(54994,9),(54995,5),(54996,2),(54997,9),(54998,7),(54999,5),(55000,3),(55001,2),(55002,5),(55003,6),(55004,8),(55005,9),(55006,2),(55007,3),(55008,5),(55009,5),(55010,8),(55011,2),(55012,9),(55013,5),(55014,5),(55015,6),(55016,8),(55017,8),(55018,9),(55019,9),(55020,9),(55021,7),(55022,2),(55023,4),(55024,9),(55025,9),(55026,3),(55027,2),(55028,7),(55029,5),(55030,4),(55031,7),(55032,1),(55033,8),(55034,1),(55035,3),(55036,8),(55037,1),(55038,9),(55039,4),(55040,9),(55041,2),(55042,2),(55043,3),(55044,2),(55045,1),(55046,6),(55047,1),(55048,9),(55049,9),(55050,5),(55051,5),(55052,3),(55053,9),(55054,9),(55055,2),(55056,6),(55057,8),(55058,1),(55059,3),(55060,6),(55061,3),(55062,3),(55063,4),(55064,6),(55065,4),(55066,4),(55067,8),(55068,3),(55069,1),(55070,3),(55071,7),(55072,2),(55073,3),(55074,4),(55075,7),(55076,1),(55077,9),(55078,2),(55079,8),(55080,2),(55081,4),(55082,1),(55083,1),(55084,2),(55085,2),(55086,1),(55087,3),(55088,8),(55089,8),(55090,1),(55091,8),(55092,5),(55093,3),(55094,1),(55095,4),(55096,5),(55097,4),(55098,1),(55099,3),(55100,4),(55101,6),(55102,2),(55103,1),(55104,8),(55105,2),(55106,7),(55107,8),(55108,4),(55109,6),(55110,2),(55111,3),(55112,5),(55113,7),(55114,2),(55115,7),(55116,9),(55117,2),(55118,2),(55119,6),(55120,9),(55121,2),(55122,6),(55123,3),(55124,1),(55125,3),(55126,1),(55127,6),(55128,6),(55129,8),(55130,2),(55131,6),(55132,9),(55133,4),(55134,7),(55135,9),(55136,2),(55137,2),(55138,8),(55139,4),(55140,3),(55141,7),(55142,7),(55143,5),(55144,5),(55145,2),(55146,3),(55147,8),(55148,3),(55149,1),(55150,7),(55151,2),(55152,6),(55153,2),(55154,4),(55155,7),(55156,2),(55157,1),(55158,7),(55159,2),(55160,3),(55161,1),(55162,2),(55163,7),(55164,8),(55165,2),(55166,9),(55167,9),(55168,6),(55169,9),(55170,5),(55171,7),(55172,5),(55173,9),(55174,2),(55175,4),(55176,7),(55177,8),(55178,1),(55179,3),(55180,3),(55181,4),(55182,8),(55183,4),(55184,3),(55185,5),(55186,6),(55187,2),(55188,4),(55189,1),(55190,5),(55191,4),(55192,3),(55193,3),(55194,1),(55195,9),(55196,2),(55197,2),(55198,9),(55199,2),(55200,1),(55201,4),(55202,4),(55203,6),(55204,7),(55205,4),(55206,8),(55207,4),(55208,6),(55209,4),(55210,4),(55211,1),(55212,1),(55213,1),(55214,8),(55215,3),(55216,3),(55217,3),(55218,9),(55219,7),(55220,1),(55221,4),(55222,5),(55223,5),(55224,4),(55225,2),(55226,4),(55227,1),(55228,5),(55229,8),(55230,1),(55231,8),(55232,4),(55233,3),(55234,3),(55235,6),(55236,4),(55237,1),(55238,1),(55239,8),(55240,3),(55241,2),(55242,7),(55243,2),(55244,6),(55245,9),(55246,9),(55247,9),(55248,7),(55249,9),(55250,1),(55251,4),(55252,4),(55253,1),(55254,7),(55255,9),(55256,3),(55257,1),(55258,3),(55259,2),(55260,1),(55261,6),(55262,2),(55263,7),(55264,5),(55265,6),(55266,3),(55267,3),(55268,1),(55269,8),(55270,4),(55271,1),(55272,6),(55273,7),(55274,6),(55275,3),(55276,4),(55277,2),(55278,2),(55279,4),(55280,8),(55281,5),(55282,9),(55283,4),(55284,7),(55285,3),(55286,1),(55287,3),(55288,4),(55289,4),(55290,2),(55291,9),(55292,1),(55293,5),(55294,3),(55295,3),(55296,7),(55297,9),(55298,6),(55299,8),(55300,6),(55301,7),(55302,2),(55303,8),(55304,1),(55305,9),(55306,3),(55307,2),(55308,6),(55309,9),(55310,1),(55311,5),(55312,4),(55313,5),(55314,3),(55315,2),(55316,2),(55317,7),(55318,6),(55319,2),(55320,5),(55321,2),(55322,5),(55323,7),(55324,7),(55325,4),(55326,5),(55327,1),(55328,1),(55329,2),(55330,9),(55331,7),(55332,4),(55333,7),(55334,4),(55335,7),(55336,9),(55337,3),(55338,8),(55339,3),(55340,6),(55341,5),(55342,2),(55343,5),(55344,4),(55345,3),(55346,2),(55347,5),(55348,9),(55349,4),(55350,4),(55351,1),(55352,9),(55353,7),(55354,9),(55355,4),(55356,5),(55357,2),(55358,8),(55359,6),(55360,7),(55361,4),(55362,6),(55363,5),(55364,3),(55365,2),(55366,2),(55367,2),(55368,5),(55369,1),(55370,2),(55371,3),(55372,1),(55373,9),(55374,5),(55375,2),(55376,4),(55377,7),(55378,6),(55379,5),(55380,7),(55381,9),(55382,4),(55383,6),(55384,1),(55385,2),(55386,9),(55387,3),(55388,5),(55389,3),(55390,2),(55391,3),(55392,8),(55393,9),(55394,7),(55395,8),(55396,6),(55397,1),(55398,8),(55399,6),(55400,5),(55401,4),(55402,2),(55403,6),(55404,4),(55405,6),(55406,9),(55407,4),(55408,9),(55409,6),(55410,5),(55411,6),(55412,9),(55413,7),(55414,7),(55415,1),(55416,9),(55417,4),(55418,7),(55419,2),(55420,4),(55421,6),(55422,9),(55423,1),(55424,5),(55425,5),(55426,5),(55427,1),(55428,3),(55429,9),(55430,8),(55431,5),(55432,8),(55433,7),(55434,2),(55435,8),(55436,6),(55437,1),(55438,3),(55439,4),(55440,8),(55441,5),(55442,4),(55443,3),(55444,8),(55445,1),(55446,8),(55447,6),(55448,9),(55449,1),(55450,3),(55451,2),(55452,4),(55453,8),(55454,9),(55455,6),(55456,1),(55457,5),(55458,5),(55459,7),(55460,8),(55461,2),(55462,5),(55463,4),(55464,6),(55465,8),(55466,7),(55467,7),(55468,3),(55469,4),(55470,4),(55471,9),(55472,9),(55473,7),(55474,6),(55475,1),(55476,8),(55477,7),(55478,7),(55479,6),(55480,4),(55481,4),(55482,3),(55483,2),(55484,6),(55485,4),(55486,9),(55487,3),(55488,5),(55489,6),(55490,6),(55491,9),(55492,6),(55493,9),(55494,2),(55495,9),(55496,6),(55497,2),(55498,7),(55499,6),(55500,9),(55501,3),(55502,1),(55503,6),(55504,5),(55505,1),(55506,3),(55507,2),(55508,1),(55509,9),(55510,8),(55511,5),(55512,6),(55513,5),(55514,2),(55515,6),(55516,2),(55517,3),(55518,3),(55519,4),(55520,1),(55521,6),(55522,2),(55523,8),(55524,9),(55525,6),(55526,4),(55527,6),(55528,9),(55529,7),(55530,9),(55531,8),(55532,1),(55533,4),(55534,8),(55535,3),(55536,3),(55537,3),(55538,9),(55539,2),(55540,6),(55541,7),(55542,8),(55543,7),(55544,5),(55545,2),(55546,5),(55547,2),(55548,9),(55549,9),(55550,6),(55551,6),(55552,7),(55553,8),(55554,3),(55555,8),(55556,7),(55557,2),(55558,3),(55559,6),(55560,1),(55561,3),(55562,4),(55563,5),(55564,4),(55565,7),(55566,8),(55567,2),(55568,5),(55569,5),(55570,8),(55571,1),(55572,7),(55573,6),(55574,6),(55575,6),(55576,6),(55577,5),(55578,3),(55579,3),(55580,7),(55581,8),(55582,3),(55583,7),(55584,4),(55585,1),(55586,5),(55587,4),(55588,1),(55589,4),(55590,1),(55591,5),(55592,3),(55593,4),(55594,9),(55595,4),(55596,1),(55597,2),(55598,5),(55599,1),(55600,2),(55601,5),(55602,6),(55603,5),(55604,9),(55605,4),(55606,7),(55607,6),(55608,4),(55609,3),(55610,1),(55611,2),(55612,2),(55613,8),(55614,2),(55615,8),(55616,4),(55617,7),(55618,7),(55619,1),(55620,7),(55621,8),(55622,1),(55623,1),(55624,4),(55625,1),(55626,8),(55627,2),(55628,2),(55629,8),(55630,7),(55631,2),(55632,1),(55633,1),(55634,7),(55635,9),(55636,3),(55637,5),(55638,2),(55639,9),(55640,7),(55641,9),(55642,8),(55643,9),(55644,4),(55645,1),(55646,8),(55647,8),(55648,1),(55649,6),(55650,7),(55651,9),(55652,9),(55653,4),(55654,2),(55655,5),(55656,4),(55657,9),(55658,1),(55659,4),(55660,9),(55661,4),(55662,1),(55663,6),(55664,3),(55665,6),(55666,5),(55667,2),(55668,2),(55669,2),(55670,9),(55671,9),(55672,1),(55673,1),(55674,7),(55675,9),(55676,8),(55677,3),(55678,8),(55679,3),(55680,3),(55681,6),(55682,7),(55683,4),(55684,2),(55685,7),(55686,2),(55687,8),(55688,4),(55689,9),(55690,5),(55691,5),(55692,6),(55693,7),(55694,4),(55695,1),(55696,7),(55697,9),(55698,1),(55699,6),(55700,6),(55701,6),(55702,8),(55703,5),(55704,7),(55705,1),(55706,2),(55707,5),(55708,7),(55709,1),(55710,7),(55711,3),(55712,6),(55713,2),(55714,3),(55715,8),(55716,4),(55717,5),(55718,9),(55719,4),(55720,9),(55721,5),(55722,5),(55723,6),(55724,2),(55725,8),(55726,1),(55727,2),(55728,8),(55729,7),(55730,1),(55731,1),(55732,5),(55733,1),(55734,4),(55735,4),(55736,9),(55737,1),(55738,6),(55739,4),(55740,7),(55741,8),(55742,2),(55743,3),(55744,2),(55745,2),(55746,8),(55747,2),(55748,9),(55749,7),(55750,9),(55751,2),(55752,3),(55753,6),(55754,9),(55755,9),(55756,9),(55757,5),(55758,2),(55759,7),(55760,6),(55761,2),(55762,8),(55763,6),(55764,4),(55765,1),(55766,4),(55767,2),(55768,7),(55769,3),(55770,8),(55771,7),(55772,4),(55773,2),(55774,6),(55775,3),(55776,6),(55777,6),(55778,2),(55779,4),(55780,9),(55781,5),(55782,2),(55783,2),(55784,1),(55785,2),(55786,7),(55787,4),(55788,7),(55789,3),(55790,8),(55791,9),(55792,1),(55793,3),(55794,2),(55795,2),(55796,8),(55797,4),(55798,9),(55799,1),(55800,8),(55801,7),(55802,7),(55803,7),(55804,7),(55805,4),(55806,7),(55807,2),(55808,5),(55809,6),(55810,6),(55811,6),(55812,3),(55813,9),(55814,7),(55815,7),(55816,7),(55817,6),(55818,9),(55819,2),(55820,4),(55821,7),(55822,3),(55823,6),(55824,6),(55825,1),(55826,9),(55827,4),(55828,3),(55829,6),(55830,6),(55831,2),(55832,5),(55833,6),(55834,4),(55835,6),(55836,5),(55837,4),(55838,1),(55839,1),(55840,7),(55841,3),(55842,1),(55843,9),(55844,2),(55845,3),(55846,7),(55847,1),(55848,1),(55849,6),(55850,7),(55851,8),(55852,4),(55853,6),(55854,6),(55855,9),(55856,9),(55857,8),(55858,5),(55859,4),(55860,2),(55861,4),(55862,8),(55863,3),(55864,5),(55865,1),(55866,5),(55867,3),(55868,2),(55869,8),(55870,9),(55871,3),(55872,5),(55873,9),(55874,9),(55875,9),(55876,6),(55877,8),(55878,7),(55879,4),(55880,4),(55881,4),(55882,1),(55883,9),(55884,6),(55885,6),(55886,7),(55887,5),(55888,8),(55889,4),(55890,8),(55891,5),(55892,4),(55893,3),(55894,8),(55895,2),(55896,9),(55897,4),(55898,4),(55899,2),(55900,2),(55901,6),(55902,9),(55903,1),(55904,3),(55905,6),(55906,1),(55907,5),(55908,3),(55909,4),(55910,4),(55911,1),(55912,3),(55913,3),(55914,6),(55915,1),(55916,1),(55917,6),(55918,5),(55919,3),(55920,7),(55921,8),(55922,7),(55923,6),(55924,7),(55925,5),(55926,6),(55927,6),(55928,2),(55929,3),(55930,9),(55931,3),(55932,1),(55933,3),(55934,4),(55935,9),(55936,2),(55937,7),(55938,2),(55939,9),(55940,2),(55941,2),(55942,1),(55943,7),(55944,4),(55945,8),(55946,2),(55947,7),(55948,2),(55949,2),(55950,5),(55951,7),(55952,5),(55953,4),(55954,3),(55955,5),(55956,2),(55957,4),(55958,9),(55959,1),(55960,7),(55961,6),(55962,6),(55963,9),(55964,5),(55965,1),(55966,4),(55967,7),(55968,9),(55969,3),(55970,9),(55971,6),(55972,6),(55973,5),(55974,6),(55975,3),(55976,5),(55977,8),(55978,3),(55979,9),(55980,1),(55981,7),(55982,5),(55983,8),(55984,3),(55985,4),(55986,8),(55987,2),(55988,7),(55989,7),(55990,4),(55991,6),(55992,6),(55993,6),(55994,4),(55995,6),(55996,3),(55997,1),(55998,6),(55999,2),(56000,2),(56001,6),(56002,4),(56003,7),(56004,2),(56005,6),(56006,8),(56007,4),(56008,8),(56009,7),(56010,6),(56011,5),(56012,7),(56013,4),(56014,8),(56015,2),(56016,3),(56017,9),(56018,6),(56019,4),(56020,9),(56021,1),(56022,7),(56023,3),(56024,2),(56025,7),(56026,5),(56027,2),(56028,2),(56029,7),(56030,5),(56031,1),(56032,3),(56033,2),(56034,4),(56035,5),(56036,1),(56037,9),(56038,5),(56039,9),(56040,4),(56041,9),(56042,6),(56043,4),(56044,5),(56045,9),(56046,6),(56047,3),(56048,4),(56049,8),(56050,9),(56051,3),(56052,8),(56053,6),(56054,1),(56055,6),(56056,3),(56057,5),(56058,1),(56059,8),(56060,3),(56061,3),(56062,1),(56063,4),(56064,5),(56065,9),(56066,1),(56067,3),(56068,6),(56069,2),(56070,6),(56071,4),(56072,2),(56073,5),(56074,6),(56075,6),(56076,7),(56077,4),(56078,3),(56079,7),(56080,3),(56081,6),(56082,5),(56083,7),(56084,8),(56085,4),(56086,4),(56087,9),(56088,1),(56089,1),(56090,6),(56091,8),(56092,2),(56093,2),(56094,7),(56095,5),(56096,1),(56097,4),(56098,2),(56099,2),(56100,7),(56101,3),(56102,1),(56103,3),(56104,2),(56105,5),(56106,9),(56107,1),(56108,2),(56109,6),(56110,1),(56111,6),(56112,9),(56113,7),(56114,4),(56115,3),(56116,5),(56117,1),(56118,6),(56119,4),(56120,4),(56121,9),(56122,6),(56123,7),(56124,9),(56125,4),(56126,1),(56127,9),(56128,9),(56129,3),(56130,3),(56131,8),(56132,1),(56133,1),(56134,2),(56135,3),(56136,1),(56137,4),(56138,5),(56139,9),(56140,1),(56141,7),(56142,2),(56143,6),(56144,6),(56145,8),(56146,8),(56147,7),(56148,9),(56149,6),(56150,2),(56151,9),(56152,2),(56153,6),(56154,3),(56155,8),(56156,8),(56157,4),(56158,9),(56159,5),(56160,1),(56161,9),(56162,8),(56163,7),(56164,9),(56165,7),(56166,1),(56167,6),(56168,2),(56169,8),(56170,5),(56171,9),(56172,1),(56173,3),(56174,9),(56175,8),(56176,7),(56177,3),(56178,7),(56179,2),(56180,4),(56181,3),(56182,1),(56183,2),(56184,6),(56185,7),(56186,6),(56187,8),(56188,7),(56189,1),(56190,4),(56191,8),(56192,4),(56193,3),(56194,9),(56195,4),(56196,4),(56197,7),(56198,3),(56199,1),(56200,9),(56201,3),(56202,2),(56203,5),(56204,1),(56205,8),(56206,2),(56207,5),(56208,4),(56209,1),(56210,7),(56211,7),(56212,9),(56213,4),(56214,1),(56215,9),(56216,4),(56217,1),(56218,5),(56219,7),(56220,3),(56221,6),(56222,7),(56223,9),(56224,9),(56225,2),(56226,2),(56227,6),(56228,4),(56229,6),(56230,6),(56231,8),(56232,9),(56233,8),(56234,9),(56235,3),(56236,6),(56237,4),(56238,8),(56239,2),(56240,6),(56241,4),(56242,8),(56243,7),(56244,9),(56245,1),(56246,5),(56247,9),(56248,2),(56249,6),(56250,2),(56251,3),(56252,3),(56253,2),(56254,1),(56255,8),(56256,6),(56257,6),(56258,6),(56259,8),(56260,3),(56261,3),(56262,6),(56263,5),(56264,6),(56265,1),(56266,1),(56267,7),(56268,2),(56269,5),(56270,4),(56271,9),(56272,4),(56273,1),(56274,4),(56275,5),(56276,7),(56277,4),(56278,4),(56279,6),(56280,1),(56281,8),(56282,6),(56283,4),(56284,8),(56285,7),(56286,4),(56287,8),(56288,7),(56289,9),(56290,9),(56291,8),(56292,7),(56293,4),(56294,5),(56295,4),(56296,6),(56297,4),(56298,5),(56299,1),(56300,1),(56301,5),(56302,6),(56303,5),(56304,6),(56305,5),(56306,5),(56307,1),(56308,2),(56309,3),(56310,3),(56311,9),(56312,6),(56313,9),(56314,1),(56315,1),(56316,7),(56317,5),(56318,6),(56319,9),(56320,6),(56321,9),(56322,8),(56323,2),(56324,1),(56325,9),(56326,9),(56327,2),(56328,7),(56329,4),(56330,3),(56331,3),(56332,7),(56333,5),(56334,6),(56335,2),(56336,1),(56337,2),(56338,3),(56339,3),(56340,6),(56341,1),(56342,9),(56343,1),(56344,9),(56345,9),(56346,8),(56347,3),(56348,8),(56349,1),(56350,6),(56351,7),(56352,1),(56353,2),(56354,7),(56355,8),(56356,1),(56357,8),(56358,4),(56359,2),(56360,3),(56361,7),(56362,2),(56363,8),(56364,6),(56365,2),(56366,3),(56367,3),(56368,1),(56369,1),(56370,9),(56371,8),(56372,9),(56373,2),(56374,5),(56375,7),(56376,8),(56377,7),(56378,2),(56379,5),(56380,1),(56381,9),(56382,7),(56383,6),(56384,3),(56385,6),(56386,6),(56387,1),(56388,8),(56389,5),(56390,4),(56391,5),(56392,7),(56393,1),(56394,6),(56395,6),(56396,3),(56397,5),(56398,8),(56399,6),(56400,3),(56401,7),(56402,1),(56403,2),(56404,5),(56405,8),(56406,4),(56407,7),(56408,3),(56409,3),(56410,2),(56411,4),(56412,3),(56413,1),(56414,3),(56415,7),(56416,2),(56417,1),(56418,9),(56419,8),(56420,9),(56421,9),(56422,8),(56423,7),(56424,5),(56425,3),(56426,6),(56427,6),(56428,1),(56429,3),(56430,8),(56431,5),(56432,2),(56433,3),(56434,1),(56435,1),(56436,4),(56437,4),(56438,6),(56439,8),(56440,7),(56441,3),(56442,5),(56443,3),(56444,8),(56445,1),(56446,2),(56447,2),(56448,5),(56449,8),(56450,1),(56451,8),(56452,9),(56453,2),(56454,9),(56455,5),(56456,6),(56457,7),(56458,6),(56459,4),(56460,3),(56461,9),(56462,8),(56463,9),(56464,4),(56465,2),(56466,6),(56467,9),(56468,7),(56469,1),(56470,8),(56471,4),(56472,8),(56473,7),(56474,8),(56475,9),(56476,6),(56477,1),(56478,2),(56479,8),(56480,4),(56481,4),(56482,8),(56483,6),(56484,1),(56485,9),(56486,6),(56487,2),(56488,2),(56489,5),(56490,1),(56491,3),(56492,8),(56493,9),(56494,8),(56495,3),(56496,9),(56497,2),(56498,8),(56499,2),(56500,7),(56501,6),(56502,1),(56503,6),(56504,5),(56505,1),(56506,1),(56507,8),(56508,5),(56509,3),(56510,5),(56511,8),(56512,2),(56513,6),(56514,4),(56515,3),(56516,2),(56517,9),(56518,2),(56519,8),(56520,3),(56521,5),(56522,2),(56523,2),(56524,5),(56525,8),(56526,5),(56527,4),(56528,5),(56529,6),(56530,7),(56531,9),(56532,6),(56533,1),(56534,2),(56535,9),(56536,5),(56537,8),(56538,1),(56539,4),(56540,8),(56541,7),(56542,1),(56543,7),(56544,5),(56545,4),(56546,5),(56547,3),(56548,4),(56549,1),(56550,9),(56551,1),(56552,8),(56553,1),(56554,3),(56555,1),(56556,6),(56557,7),(56558,7),(56559,6),(56560,3),(56561,7),(56562,4),(56563,6),(56564,3),(56565,6),(56566,7),(56567,4),(56568,3),(56569,1),(56570,8),(56571,3),(56572,4),(56573,5),(56574,7),(56575,3),(56576,4),(56577,4),(56578,5),(56579,7),(56580,2),(56581,9),(56582,7),(56583,8),(56584,2),(56585,2),(56586,6),(56587,9),(56588,5),(56589,3),(56590,8),(56591,8),(56592,1),(56593,7),(56594,9),(56595,4),(56596,6),(56597,9),(56598,3),(56599,5),(56600,4),(56601,3),(56602,4),(56603,6),(56604,3),(56605,8),(56606,6),(56607,1),(56608,5),(56609,7),(56610,1),(56611,7),(56612,4),(56613,1),(56614,5),(56615,1),(56616,5),(56617,9),(56618,2),(56619,6),(56620,9),(56621,8),(56622,9),(56623,9),(56624,3),(56625,7),(56626,3),(56627,4),(56628,3),(56629,6),(56630,5),(56631,5),(56632,7),(56633,1),(56634,1),(56635,5),(56636,6),(56637,8),(56638,4),(56639,2),(56640,9),(56641,6),(56642,7),(56643,3),(56644,7),(56645,8),(56646,7),(56647,9),(56648,2),(56649,2),(56650,2),(56651,4),(56652,7),(56653,5),(56654,8),(56655,4),(56656,5),(56657,4),(56658,7),(56659,5),(56660,2),(56661,7),(56662,3),(56663,5),(56664,5),(56665,5),(56666,4),(56667,3),(56668,7),(56669,4),(56670,5),(56671,8),(56672,5),(56673,8),(56674,7),(56675,9),(56676,4),(56677,4),(56678,4),(56679,7),(56680,2),(56681,8),(56682,1),(56683,6),(56684,6),(56685,2),(56686,9),(56687,3),(56688,2),(56689,9),(56690,2),(56691,8),(56692,7),(56693,8),(56694,6),(56695,4),(56696,4),(56697,1),(56698,6),(56699,3),(56700,7),(56701,1),(56702,5),(56703,1),(56704,3),(56705,2),(56706,9),(56707,5),(56708,9),(56709,7),(56710,4),(56711,9),(56712,2),(56713,1),(56714,3),(56715,9),(56716,7),(56717,6),(56718,2),(56719,6),(56720,8),(56721,9),(56722,3),(56723,4),(56724,2),(56725,3),(56726,7),(56727,1),(56728,4),(56729,2),(56730,4),(56731,4),(56732,7),(56733,6),(56734,7),(56735,1),(56736,8),(56737,5),(56738,8),(56739,8),(56740,3),(56741,1),(56742,8),(56743,5),(56744,7),(56745,9),(56746,4),(56747,3),(56748,3),(56749,1),(56750,3),(56751,8),(56752,9),(56753,8),(56754,9),(56755,9),(56756,9),(56757,7),(56758,7),(56759,1),(56760,1),(56761,6),(56762,7),(56763,6),(56764,4),(56765,3),(56766,3),(56767,2),(56768,7),(56769,4),(56770,5),(56771,9),(56772,5),(56773,3),(56774,6),(56775,1),(56776,3),(56777,8),(56778,1),(56779,2),(56780,5),(56781,9),(56782,3),(56783,5),(56784,3),(56785,6),(56786,7),(56787,6),(56788,7),(56789,7),(56790,8),(56791,3),(56792,3),(56793,9),(56794,5),(56795,6),(56796,2),(56797,9),(56798,8),(56799,5),(56800,2),(56801,1),(56802,5),(56803,2),(56804,9),(56805,1),(56806,7),(56807,7),(56808,7),(56809,4),(56810,7),(56811,5),(56812,5),(56813,3),(56814,3),(56815,3),(56816,9),(56817,6),(56818,9),(56819,5),(56820,3),(56821,1),(56822,5),(56823,9),(56824,2),(56825,7),(56826,9),(56827,5),(56828,7),(56829,9),(56830,1),(56831,7),(56832,4),(56833,7),(56834,3),(56835,4),(56836,1),(56837,4),(56838,5),(56839,4),(56840,3),(56841,7),(56842,1),(56843,6),(56844,3),(56845,5),(56846,3),(56847,2),(56848,4),(56849,4),(56850,4),(56851,6),(56852,7),(56853,1),(56854,2),(56855,4),(56856,8),(56857,3),(56858,7),(56859,9),(56860,4),(56861,4),(56862,8),(56863,5),(56864,6),(56865,7),(56866,1),(56867,5),(56868,3),(56869,7),(56870,9),(56871,8),(56872,5),(56873,7),(56874,9),(56875,9),(56876,6),(56877,5),(56878,2),(56879,6),(56880,7),(56881,1),(56882,2),(56883,7),(56884,4),(56885,2),(56886,8),(56887,5),(56888,4),(56889,6),(56890,9),(56891,4),(56892,1),(56893,7),(56894,5),(56895,4),(56896,3),(56897,7),(56898,7),(56899,3),(56900,9),(56901,5),(56902,1),(56903,2),(56904,5),(56905,1),(56906,8),(56907,3),(56908,1),(56909,3),(56910,9),(56911,3),(56912,6),(56913,1),(56914,9),(56915,9),(56916,5),(56917,8),(56918,3),(56919,8),(56920,8),(56921,1),(56922,3),(56923,7),(56924,6),(56925,5),(56926,5),(56927,4),(56928,4),(56929,9),(56930,1),(56931,2),(56932,1),(56933,2),(56934,5),(56935,6),(56936,9),(56937,2),(56938,5),(56939,9),(56940,1),(56941,6),(56942,9),(56943,7),(56944,6),(56945,5),(56946,1),(56947,7),(56948,1),(56949,5),(56950,5),(56951,6),(56952,8),(56953,4),(56954,9),(56955,7),(56956,1),(56957,8),(56958,1),(56959,5),(56960,5),(56961,4),(56962,6),(56963,2),(56964,1),(56965,3),(56966,4),(56967,3),(56968,2),(56969,8),(56970,9),(56971,8),(56972,1),(56973,4),(56974,6),(56975,3),(56976,9),(56977,2),(56978,4),(56979,1),(56980,8),(56981,6),(56982,8),(56983,1),(56984,6),(56985,2),(56986,2),(56987,8),(56988,7),(56989,3),(56990,4),(56991,5),(56992,7),(56993,2),(56994,1),(56995,3),(56996,8),(56997,6),(56998,1),(56999,7),(57000,8),(57001,6),(57002,3),(57003,2),(57004,1),(57005,2),(57006,7),(57007,1),(57008,4),(57009,2),(57010,7),(57011,4),(57012,7),(57013,9),(57014,7),(57015,2),(57016,1),(57017,2),(57018,4),(57019,8),(57020,6),(57021,1),(57022,9),(57023,6),(57024,9),(57025,6),(57026,3),(57027,1),(57028,7),(57029,6),(57030,2),(57031,3),(57032,2),(57033,8),(57034,5),(57035,8),(57036,9),(57037,6),(57038,6),(57039,7),(57040,6),(57041,6),(57042,6),(57043,8),(57044,2),(57045,1),(57046,4),(57047,7),(57048,9),(57049,4),(57050,3),(57051,8),(57052,2),(57053,9),(57054,8),(57055,4),(57056,9),(57057,5),(57058,3),(57059,7),(57060,2),(57061,4),(57062,5),(57063,5),(57064,6),(57065,1),(57066,8),(57067,6),(57068,5),(57069,3),(57070,6),(57071,4),(57072,4),(57073,8),(57074,7),(57075,6),(57076,2),(57077,7),(57078,6),(57079,2),(57080,3),(57081,3),(57082,2),(57083,2),(57084,9),(57085,5),(57086,8),(57087,7),(57088,3),(57089,7),(57090,5),(57091,3),(57092,2),(57093,3),(57094,1),(57095,2),(57096,1),(57097,4),(57098,6),(57099,6),(57100,4),(57101,7),(57102,2),(57103,7),(57104,1),(57105,2),(57106,6),(57107,3),(57108,6),(57109,4),(57110,5),(57111,2),(57112,4),(57113,3),(57114,1),(57115,9),(57116,4),(57117,4),(57118,9),(57119,1),(57120,3),(57121,3),(57122,4),(57123,2),(57124,1),(57125,6),(57126,5),(57127,3),(57128,4),(57129,9),(57130,1),(57131,2),(57132,7),(57133,4),(57134,9),(57135,8),(57136,9),(57137,3),(57138,4),(57139,7),(57140,4),(57141,6),(57142,8),(57143,5),(57144,3),(57145,7),(57146,2),(57147,1),(57148,6),(57149,3),(57150,4),(57151,4),(57152,6),(57153,4),(57154,8),(57155,6),(57156,3),(57157,3),(57158,4),(57159,3),(57160,6),(57161,1),(57162,6),(57163,7),(57164,3),(57165,4),(57166,1),(57167,9),(57168,9),(57169,2),(57170,3),(57171,4),(57172,7),(57173,6),(57174,5),(57175,9),(57176,2),(57177,9),(57178,1),(57179,9),(57180,1),(57181,3),(57182,6),(57183,6),(57184,3),(57185,3),(57186,1),(57187,7),(57188,9),(57189,7),(57190,6),(57191,6),(57192,8),(57193,3),(57194,7),(57195,4),(57196,5),(57197,1),(57198,4),(57199,1),(57200,7),(57201,5),(57202,9),(57203,5),(57204,8),(57205,4),(57206,6),(57207,1),(57208,1),(57209,6),(57210,7),(57211,2),(57212,1),(57213,1),(57214,4),(57215,7),(57216,2),(57217,3),(57218,3),(57219,6),(57220,2),(57221,3),(57222,6),(57223,7),(57224,7),(57225,9),(57226,4),(57227,7),(57228,1),(57229,1),(57230,2),(57231,9),(57232,4),(57233,2),(57234,2),(57235,2),(57236,5),(57237,7),(57238,3),(57239,3),(57240,2),(57241,5),(57242,9),(57243,9),(57244,7),(57245,8),(57246,1),(57247,4),(57248,7),(57249,4),(57250,5),(57251,5),(57252,3),(57253,4),(57254,4),(57255,2),(57256,3),(57257,9),(57258,1),(57259,2),(57260,5),(57261,6),(57262,3),(57263,7),(57264,4),(57265,8),(57266,2),(57267,9),(57268,6),(57269,4),(57270,7),(57271,4),(57272,9),(57273,5),(57274,3),(57275,8),(57276,8),(57277,4),(57278,9),(57279,2),(57280,3),(57281,3),(57282,6),(57283,1),(57284,2),(57285,8),(57286,1),(57287,7),(57288,3),(57289,3),(57290,8),(57291,2),(57292,8),(57293,6),(57294,7),(57295,1),(57296,2),(57297,2),(57298,7),(57299,5),(57300,9),(57301,4),(57302,4),(57303,2),(57304,3),(57305,7),(57306,9),(57307,2),(57308,2),(57309,9),(57310,7),(57311,4),(57312,8),(57313,8),(57314,2),(57315,6),(57316,4),(57317,7),(57318,1),(57319,2),(57320,1),(57321,6),(57322,1),(57323,6),(57324,8),(57325,8),(57326,3),(57327,2),(57328,5),(57329,3),(57330,5),(57331,6),(57332,7),(57333,5),(57334,2),(57335,1),(57336,5),(57337,4),(57338,2),(57339,5),(57340,1),(57341,9),(57342,3),(57343,3),(57344,2),(57345,1),(57346,7),(57347,2),(57348,6),(57349,6),(57350,5),(57351,3),(57352,7),(57353,7),(57354,5),(57355,3),(57356,7),(57357,6),(57358,6),(57359,5),(57360,5),(57361,3),(57362,2),(57363,9),(57364,4),(57365,1),(57366,3),(57367,9),(57368,1),(57369,2),(57370,9),(57371,9),(57372,3),(57373,6),(57374,2),(57375,4),(57376,7),(57377,2),(57378,5),(57379,1),(57380,6),(57381,3),(57382,2),(57383,2),(57384,2),(57385,1),(57386,1),(57387,4),(57388,1),(57389,1),(57390,8),(57391,7),(57392,9),(57393,4),(57394,6),(57395,7),(57396,8),(57397,9),(57398,6),(57399,5),(57400,9),(57401,3),(57402,8),(57403,4),(57404,8),(57405,4),(57406,8),(57407,1),(57408,7),(57409,9),(57410,1),(57411,8),(57412,2),(57413,2),(57414,1),(57415,5),(57416,6),(57417,1),(57418,4),(57419,2),(57420,6),(57421,2),(57422,3),(57423,1),(57424,5),(57425,6),(57426,4),(57427,5),(57428,5),(57429,5),(57430,4),(57431,6),(57432,2),(57433,7),(57434,5),(57435,7),(57436,1),(57437,3),(57438,6),(57439,7),(57440,1),(57441,7),(57442,1),(57443,5),(57444,6),(57445,8),(57446,8),(57447,4),(57448,3),(57449,8),(57450,6),(57451,9),(57452,4),(57453,1),(57454,2),(57455,2),(57456,8),(57457,7),(57458,3),(57459,4),(57460,3),(57461,8),(57462,9),(57463,6),(57464,2),(57465,5),(57466,1),(57467,1),(57468,7),(57469,9),(57470,3),(57471,1),(57472,2),(57473,5),(57474,7),(57475,5),(57476,7),(57477,5),(57478,9),(57479,5),(57480,6),(57481,5),(57482,3),(57483,1),(57484,5),(57485,8),(57486,1),(57487,3),(57488,4),(57489,4),(57490,6),(57491,6),(57492,6),(57493,6),(57494,2),(57495,9),(57496,5),(57497,3),(57498,7),(57499,4),(57500,3),(57501,5),(57502,8),(57503,9),(57504,1),(57505,2),(57506,5),(57507,2),(57508,5),(57509,4),(57510,8),(57511,7),(57512,7),(57513,1),(57514,4),(57515,8),(57516,8),(57517,2),(57518,7),(57519,6),(57520,7),(57521,7),(57522,9),(57523,1),(57524,3),(57525,6),(57526,2),(57527,1),(57528,9),(57529,8),(57530,6),(57531,4),(57532,3),(57533,4),(57534,1),(57535,8),(57536,2),(57537,3),(57538,7),(57539,6),(57540,4),(57541,2),(57542,7),(57543,2),(57544,7),(57545,7),(57546,5),(57547,8),(57548,6),(57549,4),(57550,8),(57551,2),(57552,3),(57553,5),(57554,7),(57555,5),(57556,7),(57557,5),(57558,6),(57559,6),(57560,8),(57561,1),(57562,3),(57563,6),(57564,5),(57565,7),(57566,8),(57567,3),(57568,5),(57569,2),(57570,7),(57571,2),(57572,7),(57573,6),(57574,8),(57575,7),(57576,4),(57577,3),(57578,9),(57579,6),(57580,1),(57581,5),(57582,1),(57583,2),(57584,4),(57585,1),(57586,3),(57587,7),(57588,2),(57589,7),(57590,9),(57591,5),(57592,5),(57593,1),(57594,3),(57595,8),(57596,6),(57597,1),(57598,4),(57599,1),(57600,1),(57601,2),(57602,6),(57603,9),(57604,7),(57605,7),(57606,7),(57607,1),(57608,1),(57609,6),(57610,5),(57611,2),(57612,2),(57613,1),(57614,3),(57615,3),(57616,3),(57617,5),(57618,5),(57619,2),(57620,6),(57621,6),(57622,3),(57623,7),(57624,1),(57625,4),(57626,2),(57627,9),(57628,3),(57629,5),(57630,7),(57631,6),(57632,9),(57633,3),(57634,3),(57635,8),(57636,6),(57637,2),(57638,1),(57639,5),(57640,8),(57641,8),(57642,6),(57643,9),(57644,4),(57645,5),(57646,9),(57647,2),(57648,7),(57649,4),(57650,4),(57651,5),(57652,5),(57653,1),(57654,3),(57655,2),(57656,4),(57657,1),(57658,6),(57659,5),(57660,5),(57661,7),(57662,5),(57663,3),(57664,3),(57665,3),(57666,4),(57667,3),(57668,5),(57669,3),(57670,8),(57671,2),(57672,3),(57673,6),(57674,5),(57675,2),(57676,2),(57677,1),(57678,7),(57679,9),(57680,4),(57681,2),(57682,8),(57683,6),(57684,6),(57685,4),(57686,8),(57687,4),(57688,4),(57689,3),(57690,1),(57691,5),(57692,7),(57693,5),(57694,7),(57695,4),(57696,1),(57697,7),(57698,9),(57699,4),(57700,7),(57701,7),(57702,3),(57703,9),(57704,4),(57705,7),(57706,2),(57707,8),(57708,5),(57709,5),(57710,2),(57711,4),(57712,7),(57713,7),(57714,5),(57715,2),(57716,5),(57717,7),(57718,1),(57719,6),(57720,1),(57721,5),(57722,9),(57723,8),(57724,4),(57725,5),(57726,5),(57727,1),(57728,6),(57729,6),(57730,5),(57731,3),(57732,6),(57733,3),(57734,6),(57735,2),(57736,6),(57737,1),(57738,9),(57739,7),(57740,7),(57741,8),(57742,9),(57743,6),(57744,4),(57745,7),(57746,4),(57747,1),(57748,3),(57749,1),(57750,9),(57751,2),(57752,5),(57753,5),(57754,9),(57755,6),(57756,4),(57757,7),(57758,5),(57759,5),(57760,3),(57761,2),(57762,9),(57763,8),(57764,7),(57765,7),(57766,2),(57767,8),(57768,4),(57769,5),(57770,8),(57771,5),(57772,3),(57773,7),(57774,8),(57775,9),(57776,4),(57777,6),(57778,5),(57779,7),(57780,6),(57781,3),(57782,1),(57783,6),(57784,7),(57785,7),(57786,7),(57787,8),(57788,7),(57789,4),(57790,4),(57791,3),(57792,2),(57793,1),(57794,6),(57795,4),(57796,1),(57797,7),(57798,9),(57799,6),(57800,6),(57801,8),(57802,8),(57803,2),(57804,3),(57805,1),(57806,2),(57807,5),(57808,8),(57809,4),(57810,5),(57811,5),(57812,1),(57813,6),(57814,6),(57815,2),(57816,7),(57817,5),(57818,6),(57819,9),(57820,4),(57821,3),(57822,9),(57823,3),(57824,2),(57825,1),(57826,8),(57827,1),(57828,2),(57829,2),(57830,2),(57831,1),(57832,4),(57833,7),(57834,4),(57835,3),(57836,5),(57837,8),(57838,6),(57839,9),(57840,7),(57841,6),(57842,4),(57843,5),(57844,8),(57845,5),(57846,1),(57847,3),(57848,3),(57849,3),(57850,4),(57851,4),(57852,3),(57853,5),(57854,8),(57855,5),(57856,2),(57857,5),(57858,3),(57859,3),(57860,4),(57861,4),(57862,8),(57863,4),(57864,6),(57865,8),(57866,2),(57867,1),(57868,1),(57869,2),(57870,8),(57871,4),(57872,4),(57873,6),(57874,5),(57875,3),(57876,4),(57877,3),(57878,8),(57879,5),(57880,3),(57881,5),(57882,8),(57883,2),(57884,7),(57885,3),(57886,6),(57887,6),(57888,4),(57889,5),(57890,5),(57891,4),(57892,5),(57893,5),(57894,2),(57895,3),(57896,8),(57897,8),(57898,7),(57899,3),(57900,2),(57901,2),(57902,2),(57903,4),(57904,7),(57905,3),(57906,5),(57907,9),(57908,8),(57909,6),(57910,6),(57911,8),(57912,9),(57913,6),(57914,3),(57915,9),(57916,4),(57917,9),(57918,3),(57919,7),(57920,8),(57921,2),(57922,8),(57923,2),(57924,2),(57925,9),(57926,1),(57927,5),(57928,3),(57929,7),(57930,7),(57931,8),(57932,6),(57933,2),(57934,8),(57935,6),(57936,7),(57937,6),(57938,2),(57939,7),(57940,6),(57941,6),(57942,9),(57943,7),(57944,4),(57945,1),(57946,8),(57947,5),(57948,4),(57949,4),(57950,4),(57951,4),(57952,4),(57953,5),(57954,1),(57955,8),(57956,6),(57957,4),(57958,3),(57959,2),(57960,7),(57961,3),(57962,7),(57963,4),(57964,6),(57965,2),(57966,7),(57967,6),(57968,7),(57969,1),(57970,6),(57971,1),(57972,1),(57973,9),(57974,1),(57975,9),(57976,3),(57977,6),(57978,9),(57979,7),(57980,8),(57981,5),(57982,5),(57983,1),(57984,4),(57985,9),(57986,1),(57987,1),(57988,1),(57989,6),(57990,6),(57991,3),(57992,4),(57993,8),(57994,2),(57995,5),(57996,6),(57997,5),(57998,1),(57999,3),(58000,2),(58001,2),(58002,2),(58003,8),(58004,3),(58005,9),(58006,5),(58007,9),(58008,7),(58009,1),(58010,7),(58011,6),(58012,8),(58013,4),(58014,1),(58015,5),(58016,5),(58017,1),(58018,5),(58019,8),(58020,7),(58021,5),(58022,6),(58023,4),(58024,5),(58025,2),(58026,2),(58027,4),(58028,3),(58029,1),(58030,2),(58031,1),(58032,1),(58033,4),(58034,3),(58035,2),(58036,4),(58037,4),(58038,7),(58039,6),(58040,5),(58041,5),(58042,2),(58043,1),(58044,5),(58045,3),(58046,6),(58047,8),(58048,4),(58049,6),(58050,2),(58051,1),(58052,9),(58053,3),(58054,3),(58055,4),(58056,9),(58057,4),(58058,6),(58059,6),(58060,6),(58061,8),(58062,6),(58063,3),(58064,5),(58065,5),(58066,8),(58067,8),(58068,1),(58069,2),(58070,9),(58071,1),(58072,7),(58073,9),(58074,2),(58075,8),(58076,6),(58077,2),(58078,6),(58079,1),(58080,2),(58081,6),(58082,8),(58083,1),(58084,5),(58085,5),(58086,6),(58087,2),(58088,1),(58089,7),(58090,5),(58091,6),(58092,3),(58093,9),(58094,8),(58095,7),(58096,9),(58097,9),(58098,2),(58099,8),(58100,5),(58101,5),(58102,5),(58103,1),(58104,6),(58105,8),(58106,6),(58107,2),(58108,9),(58109,5),(58110,7),(58111,7),(58112,5),(58113,8),(58114,3),(58115,3),(58116,6),(58117,6),(58118,2),(58119,4),(58120,5),(58121,7),(58122,3),(58123,6),(58124,6),(58125,2),(58126,5),(58127,5),(58128,9),(58129,7),(58130,2),(58131,2),(58132,7),(58133,5),(58134,8),(58135,2),(58136,7),(58137,2),(58138,8),(58139,5),(58140,7),(58141,5),(58142,7),(58143,3),(58144,1),(58145,5),(58146,9),(58147,3),(58148,6),(58149,1),(58150,9),(58151,3),(58152,4),(58153,7),(58154,9),(58155,4),(58156,5),(58157,5),(58158,6),(58159,3),(58160,4),(58161,8),(58162,4),(58163,2),(58164,7),(58165,5),(58166,7),(58167,9),(58168,2),(58169,2),(58170,9),(58171,9),(58172,6),(58173,5),(58174,8),(58175,5),(58176,2),(58177,5),(58178,6),(58179,6),(58180,4),(58181,2),(58182,4),(58183,1),(58184,3),(58185,4),(58186,5),(58187,3),(58188,8),(58189,1),(58190,5),(58191,5),(58192,2),(58193,8),(58194,7),(58195,3),(58196,8),(58197,9),(58198,9),(58199,6),(58200,1),(58201,6),(58202,5),(58203,8),(58204,6),(58205,5),(58206,7),(58207,5),(58208,7),(58209,2),(58210,5),(58211,4),(58212,4),(58213,9),(58214,5),(58215,3),(58216,6),(58217,2),(58218,9),(58219,4),(58220,4),(58221,7),(58222,5),(58223,8),(58224,2),(58225,6),(58226,4),(58227,5),(58228,3),(58229,2),(58230,9),(58231,8),(58232,7),(58233,4),(58234,6),(58235,9),(58236,6),(58237,8),(58238,1),(58239,1),(58240,6),(58241,8),(58242,5),(58243,8),(58244,3),(58245,2),(58246,1),(58247,8),(58248,9),(58249,7),(58250,8),(58251,1),(58252,6),(58253,8),(58254,5),(58255,1),(58256,2),(58257,8),(58258,7),(58259,2),(58260,6),(58261,3),(58262,5),(58263,1),(58264,3),(58265,6),(58266,3),(58267,7),(58268,6),(58269,7),(58270,7),(58271,2),(58272,9),(58273,3),(58274,2),(58275,4),(58276,2),(58277,4),(58278,8),(58279,8),(58280,9),(58281,7),(58282,7),(58283,6),(58284,2),(58285,8),(58286,2),(58287,3),(58288,6),(58289,2),(58290,6),(58291,5),(58292,1),(58293,1),(58294,1),(58295,7),(58296,4),(58297,1),(58298,4),(58299,5),(58300,5),(58301,9),(58302,8),(58303,3),(58304,2),(58305,2),(58306,3),(58307,9),(58308,6),(58309,6),(58310,6),(58311,2),(58312,4),(58313,5),(58314,6),(58315,4),(58316,2),(58317,1),(58318,5),(58319,3),(58320,9),(58321,8),(58322,9),(58323,4),(58324,6),(58325,4),(58326,9),(58327,3),(58328,8),(58329,4),(58330,2),(58331,4),(58332,3),(58333,7),(58334,5),(58335,9),(58336,5),(58337,9),(58338,7),(58339,4),(58340,4),(58341,7),(58342,7),(58343,6),(58344,1),(58345,7),(58346,8),(58347,2),(58348,7),(58349,4),(58350,1),(58351,8),(58352,5),(58353,2),(58354,3),(58355,1),(58356,1),(58357,5),(58358,9),(58359,1),(58360,7),(58361,5),(58362,3),(58363,9),(58364,2),(58365,4),(58366,6),(58367,5),(58368,5),(58369,5),(58370,3),(58371,6),(58372,8),(58373,1),(58374,3),(58375,9),(58376,6),(58377,2),(58378,7),(58379,9),(58380,6),(58381,2),(58382,6),(58383,7),(58384,4),(58385,5),(58386,3),(58387,7),(58388,5),(58389,9),(58390,7),(58391,6),(58392,6),(58393,5),(58394,6),(58395,7),(58396,6),(58397,2),(58398,1),(58399,8),(58400,1),(58401,8),(58402,9),(58403,7),(58404,9),(58405,1),(58406,2),(58407,9),(58408,7),(58409,6),(58410,7),(58411,1),(58412,8),(58413,1),(58414,9),(58415,7),(58416,9),(58417,9),(58418,7),(58419,4),(58420,1),(58421,4),(58422,6),(58423,6),(58424,8),(58425,9),(58426,6),(58427,4),(58428,1),(58429,8),(58430,3),(58431,5),(58432,8),(58433,9),(58434,4),(58435,2),(58436,8),(58437,2),(58438,1),(58439,4),(58440,4),(58441,3),(58442,9),(58443,6),(58444,2),(58445,5),(58446,3),(58447,4),(58448,9),(58449,6),(58450,5),(58451,4),(58452,7),(58453,4),(58454,9),(58455,3),(58456,2),(58457,4),(58458,9),(58459,4),(58460,2),(58461,3),(58462,2),(58463,1),(58464,7),(58465,1),(58466,2),(58467,8),(58468,5),(58469,8),(58470,7),(58471,8),(58472,5),(58473,3),(58474,9),(58475,1),(58476,2),(58477,3),(58478,7),(58479,1),(58480,5),(58481,2),(58482,2),(58483,7),(58484,1),(58485,7),(58486,4),(58487,3),(58488,7),(58489,4),(58490,2),(58491,5),(58492,5),(58493,9),(58494,8),(58495,6),(58496,1),(58497,8),(58498,9),(58499,3),(58500,1),(58501,2),(58502,5),(58503,5),(58504,5),(58505,3),(58506,9),(58507,3),(58508,6),(58509,5),(58510,7),(58511,6),(58512,7),(58513,2),(58514,6),(58515,7),(58516,9),(58517,6),(58518,3),(58519,1),(58520,5),(58521,5),(58522,3),(58523,7),(58524,5),(58525,8),(58526,3),(58527,7),(58528,8),(58529,2),(58530,4),(58531,3),(58532,3),(58533,5),(58534,2),(58535,9),(58536,5),(58537,5),(58538,6),(58539,7),(58540,5),(58541,3),(58542,4),(58543,3),(58544,5),(58545,6),(58546,6),(58547,2),(58548,2),(58549,7),(58550,5),(58551,7),(58552,3),(58553,5),(58554,3),(58555,9),(58556,2),(58557,4),(58558,9),(58559,6),(58560,9),(58561,8),(58562,8),(58563,2),(58564,5),(58565,3),(58566,8),(58567,4),(58568,4),(58569,9),(58570,6),(58571,2),(58572,2),(58573,3),(58574,3),(58575,4),(58576,6),(58577,3),(58578,9),(58579,6),(58580,8),(58581,4),(58582,8),(58583,1),(58584,8),(58585,9),(58586,7),(58587,8),(58588,9),(58589,2),(58590,1),(58591,3),(58592,5),(58593,7),(58594,9),(58595,8),(58596,6),(58597,7),(58598,4),(58599,7),(58600,7),(58601,9),(58602,9),(58603,1),(58604,9),(58605,1),(58606,8),(58607,4),(58608,5),(58609,4),(58610,6),(58611,4),(58612,4),(58613,7),(58614,4),(58615,2),(58616,3),(58617,1),(58618,4),(58619,3),(58620,9),(58621,5),(58622,3),(58623,9),(58624,6),(58625,5),(58626,9),(58627,5),(58628,5),(58629,8),(58630,4),(58631,3),(58632,6),(58633,5),(58634,7),(58635,3),(58636,7),(58637,6),(58638,4),(58639,9),(58640,4),(58641,9),(58642,3),(58643,6),(58644,2),(58645,4),(58646,3),(58647,8),(58648,7),(58649,6),(58650,9),(58651,9),(58652,4),(58653,3),(58654,5),(58655,6),(58656,8),(58657,4),(58658,2),(58659,6),(58660,3),(58661,6),(58662,3),(58663,2),(58664,6),(58665,5),(58666,1),(58667,2),(58668,5),(58669,1),(58670,6),(58671,5),(58672,9),(58673,7),(58674,8),(58675,4),(58676,9),(58677,6),(58678,5),(58679,8),(58680,8),(58681,9),(58682,4),(58683,4),(58684,8),(58685,5),(58686,7),(58687,7),(58688,7),(58689,2),(58690,2),(58691,9),(58692,8),(58693,2),(58694,5),(58695,5),(58696,1),(58697,7),(58698,3),(58699,5),(58700,3),(58701,6),(58702,7),(58703,3),(58704,2),(58705,4),(58706,9),(58707,4),(58708,3),(58709,4),(58710,1),(58711,9),(58712,8),(58713,2),(58714,6),(58715,7),(58716,4),(58717,9),(58718,8),(58719,8),(58720,3),(58721,8),(58722,3),(58723,9),(58724,3),(58725,8),(58726,2),(58727,9),(58728,8),(58729,9),(58730,7),(58731,8),(58732,8),(58733,1),(58734,9),(58735,2),(58736,2),(58737,8),(58738,5),(58739,4),(58740,7),(58741,5),(58742,6),(58743,8),(58744,3),(58745,2),(58746,3),(58747,5),(58748,8),(58749,2),(58750,8),(58751,5),(58752,5),(58753,5),(58754,3),(58755,9),(58756,4),(58757,3),(58758,2),(58759,3),(58760,3),(58761,4),(58762,2),(58763,6),(58764,1),(58765,6),(58766,8),(58767,1),(58768,2),(58769,3),(58770,6),(58771,2),(58772,8),(58773,5),(58774,2),(58775,7),(58776,4),(58777,9),(58778,3),(58779,5),(58780,8),(58781,4),(58782,1),(58783,1),(58784,1),(58785,4),(58786,1),(58787,7),(58788,6),(58789,1),(58790,3),(58791,1),(58792,5),(58793,4),(58794,9),(58795,1),(58796,3),(58797,6),(58798,5),(58799,2),(58800,9),(58801,3),(58802,4),(58803,1),(58804,1),(58805,2),(58806,7),(58807,3),(58808,5),(58809,4),(58810,5),(58811,5),(58812,4),(58813,1),(58814,9),(58815,5),(58816,9),(58817,7),(58818,8),(58819,8),(58820,1),(58821,3),(58822,5),(58823,4),(58824,3),(58825,6),(58826,2),(58827,7),(58828,4),(58829,6),(58830,9),(58831,3),(58832,9),(58833,6),(58834,3),(58835,9),(58836,4),(58837,2),(58838,8),(58839,7),(58840,3),(58841,8),(58842,3),(58843,5),(58844,2),(58845,8),(58846,9),(58847,3),(58848,6),(58849,6),(58850,6),(58851,5),(58852,1),(58853,2),(58854,2),(58855,4),(58856,5),(58857,7),(58858,9),(58859,5),(58860,9),(58861,1),(58862,6),(58863,3),(58864,8),(58865,8),(58866,6),(58867,6),(58868,6),(58869,4),(58870,3),(58871,2),(58872,9),(58873,4),(58874,9),(58875,7),(58876,1),(58877,7),(58878,7),(58879,1),(58880,9),(58881,4),(58882,9),(58883,6),(58884,4),(58885,4),(58886,4),(58887,5),(58888,2),(58889,4),(58890,1),(58891,9),(58892,9),(58893,4),(58894,9),(58895,5),(58896,7),(58897,3),(58898,7),(58899,9),(58900,7),(58901,4),(58902,9),(58903,4),(58904,7),(58905,1),(58906,5),(58907,3),(58908,4),(58909,9),(58910,3),(58911,9),(58912,2),(58913,4),(58914,9),(58915,9),(58916,2),(58917,3),(58918,9),(58919,3),(58920,8),(58921,7),(58922,1),(58923,7),(58924,8),(58925,4),(58926,8),(58927,1),(58928,9),(58929,6),(58930,3),(58931,9),(58932,5),(58933,9),(58934,6),(58935,4),(58936,2),(58937,1),(58938,2),(58939,3),(58940,2),(58941,2),(58942,4),(58943,4),(58944,8),(58945,8),(58946,9),(58947,7),(58948,1),(58949,3),(58950,3),(58951,4),(58952,4),(58953,8),(58954,2),(58955,3),(58956,1),(58957,4),(58958,7),(58959,5),(58960,3),(58961,7),(58962,5),(58963,8),(58964,5),(58965,3),(58966,7),(58967,2),(58968,7),(58969,2),(58970,7),(58971,3),(58972,4),(58973,8),(58974,1),(58975,6),(58976,9),(58977,4),(58978,8),(58979,3),(58980,5),(58981,4),(58982,4),(58983,3),(58984,7),(58985,7),(58986,8),(58987,5),(58988,8),(58989,3),(58990,9),(58991,7),(58992,3),(58993,7),(58994,2),(58995,5),(58996,5),(58997,4),(58998,8),(58999,2),(59000,7),(59001,4),(59002,1),(59003,3),(59004,5),(59005,8),(59006,6),(59007,6),(59008,4),(59009,7),(59010,3),(59011,4),(59012,7),(59013,4),(59014,9),(59015,6),(59016,9),(59017,4),(59018,7),(59019,8),(59020,4),(59021,2),(59022,9),(59023,5),(59024,9),(59025,5),(59026,6),(59027,2),(59028,8),(59029,2),(59030,3),(59031,8),(59032,3),(59033,5),(59034,8),(59035,8),(59036,1),(59037,9),(59038,1),(59039,4),(59040,9),(59041,6),(59042,7),(59043,3),(59044,1),(59045,1),(59046,6),(59047,6),(59048,3),(59049,4),(59050,4),(59051,7),(59052,9),(59053,7),(59054,7),(59055,2),(59056,6),(59057,1),(59058,3),(59059,8),(59060,8),(59061,1),(59062,1),(59063,4),(59064,9),(59065,6),(59066,3),(59067,8),(59068,9),(59069,3),(59070,9),(59071,9),(59072,5),(59073,1),(59074,5),(59075,6),(59076,2),(59077,8),(59078,3),(59079,7),(59080,4),(59081,9),(59082,2),(59083,3),(59084,7),(59085,5),(59086,8),(59087,1),(59088,4),(59089,7),(59090,1),(59091,2),(59092,2),(59093,9),(59094,8),(59095,9),(59096,3),(59097,4),(59098,2),(59099,5),(59100,9),(59101,9),(59102,3),(59103,1),(59104,7),(59105,4),(59106,6),(59107,8),(59108,4),(59109,6),(59110,9),(59111,5),(59112,3),(59113,5),(59114,4),(59115,4),(59116,1),(59117,7),(59118,4),(59119,3),(59120,8),(59121,2),(59122,2),(59123,7),(59124,6),(59125,2),(59126,3),(59127,5),(59128,8),(59129,7),(59130,7),(59131,2),(59132,1),(59133,8),(59134,2),(59135,7),(59136,6),(59137,7),(59138,2),(59139,8),(59140,2),(59141,4),(59142,7),(59143,9),(59144,1),(59145,8),(59146,6),(59147,9),(59148,9),(59149,6),(59150,5),(59151,5),(59152,4),(59153,5),(59154,4),(59155,1),(59156,1),(59157,5),(59158,8),(59159,7),(59160,3),(59161,5),(59162,1),(59163,2),(59164,7),(59165,4),(59166,5),(59167,7),(59168,3),(59169,9),(59170,2),(59171,1),(59172,1),(59173,9),(59174,7),(59175,4),(59176,3),(59177,6),(59178,6),(59179,5),(59180,7),(59181,2),(59182,9),(59183,7),(59184,8),(59185,5),(59186,6),(59187,7),(59188,1),(59189,6),(59190,6),(59191,7),(59192,1),(59193,1),(59194,8),(59195,6),(59196,9),(59197,4),(59198,7),(59199,9),(59200,1),(59201,4),(59202,3),(59203,8),(59204,4),(59205,1),(59206,9),(59207,8),(59208,8),(59209,2),(59210,5),(59211,2),(59212,9),(59213,4),(59214,9),(59215,4),(59216,6),(59217,4),(59218,4),(59219,4),(59220,7),(59221,5),(59222,9),(59223,4),(59224,5),(59225,1),(59226,9),(59227,1),(59228,8),(59229,3),(59230,6),(59231,7),(59232,8),(59233,6),(59234,5),(59235,5),(59236,1),(59237,5),(59238,9),(59239,8),(59240,8),(59241,1),(59242,3),(59243,5),(59244,9),(59245,8),(59246,2),(59247,9),(59248,6),(59249,8),(59250,8),(59251,7),(59252,3),(59253,4),(59254,1),(59255,4),(59256,6),(59257,5),(59258,9),(59259,2),(59260,3),(59261,8),(59262,2),(59263,2),(59264,8),(59265,7),(59266,5),(59267,7),(59268,8),(59269,4),(59270,2),(59271,9),(59272,5),(59273,5),(59274,9),(59275,2),(59276,7),(59277,5),(59278,9),(59279,5),(59280,9),(59281,6),(59282,2),(59283,7),(59284,2),(59285,2),(59286,4),(59287,4),(59288,7),(59289,2),(59290,9),(59291,5),(59292,6),(59293,5),(59294,4),(59295,1),(59296,2),(59297,4),(59298,2),(59299,1),(59300,2),(59301,9),(59302,1),(59303,1),(59304,9),(59305,7),(59306,8),(59307,4),(59308,5),(59309,7),(59310,8),(59311,9),(59312,6),(59313,1),(59314,7),(59315,5),(59316,4),(59317,9),(59318,3),(59319,5),(59320,7),(59321,6),(59322,5),(59323,3),(59324,2),(59325,9),(59326,3),(59327,7),(59328,9),(59329,6),(59330,5),(59331,9),(59332,5),(59333,8),(59334,8),(59335,9),(59336,6),(59337,8),(59338,8),(59339,9),(59340,3),(59341,1),(59342,7),(59343,9),(59344,5),(59345,4),(59346,5),(59347,9),(59348,2),(59349,6),(59350,5),(59351,2),(59352,8),(59353,5),(59354,6),(59355,1),(59356,6),(59357,8),(59358,7),(59359,3),(59360,1),(59361,2),(59362,9),(59363,8),(59364,5),(59365,6),(59366,7),(59367,9),(59368,2),(59369,7),(59370,3),(59371,2),(59372,4),(59373,7),(59374,3),(59375,1),(59376,4),(59377,1),(59378,5),(59379,1),(59380,7),(59381,9),(59382,4),(59383,9),(59384,8),(59385,4),(59386,5),(59387,8),(59388,4),(59389,5),(59390,4),(59391,1),(59392,5),(59393,8),(59394,5),(59395,9),(59396,4),(59397,2),(59398,9),(59399,8),(59400,7),(59401,9),(59402,1),(59403,2),(59404,3),(59405,3),(59406,5),(59407,2),(59408,8),(59409,1),(59410,1),(59411,1),(59412,8),(59413,4),(59414,6),(59415,9),(59416,5),(59417,6),(59418,1),(59419,1),(59420,2),(59421,9),(59422,6),(59423,7),(59424,4),(59425,2),(59426,7),(59427,6),(59428,4),(59429,9),(59430,3),(59431,7),(59432,9),(59433,8),(59434,4),(59435,2),(59436,7),(59437,4),(59438,4),(59439,4),(59440,6),(59441,9),(59442,9),(59443,6),(59444,7),(59445,9),(59446,8),(59447,4),(59448,8),(59449,9),(59450,8),(59451,6),(59452,2),(59453,1),(59454,1),(59455,7),(59456,3),(59457,6),(59458,7),(59459,5),(59460,2),(59461,9),(59462,6),(59463,7),(59464,5),(59465,5),(59466,4),(59467,8),(59468,1),(59469,2),(59470,8),(59471,4),(59472,8),(59473,2),(59474,1),(59475,5),(59476,7),(59477,3),(59478,6),(59479,4),(59480,7),(59481,1),(59482,4),(59483,3),(59484,5),(59485,3),(59486,4),(59487,1),(59488,5),(59489,5),(59490,3),(59491,1),(59492,4),(59493,3),(59494,8),(59495,4),(59496,7),(59497,9),(59498,7),(59499,9),(59500,2),(59501,2),(59502,2),(59503,7),(59504,6),(59505,6),(59506,1),(59507,5),(59508,6),(59509,1),(59510,6),(59511,4),(59512,6),(59513,7),(59514,1),(59515,6),(59516,6),(59517,5),(59518,2),(59519,8),(59520,3),(59521,5),(59522,9),(59523,9),(59524,3),(59525,7),(59526,2),(59527,5),(59528,8),(59529,7),(59530,1),(59531,6),(59532,4),(59533,2),(59534,2),(59535,3),(59536,9),(59537,1),(59538,1),(59539,6),(59540,5),(59541,8),(59542,5),(59543,7),(59544,1),(59545,1),(59546,6),(59547,4),(59548,2),(59549,3),(59550,3),(59551,1),(59552,3),(59553,6),(59554,9),(59555,5),(59556,8),(59557,7),(59558,2),(59559,5),(59560,3),(59561,1),(59562,5),(59563,2),(59564,6),(59565,4),(59566,8),(59567,1),(59568,6),(59569,5),(59570,2),(59571,1),(59572,5),(59573,7),(59574,9),(59575,9),(59576,9),(59577,3),(59578,8),(59579,8),(59580,7),(59581,9),(59582,1),(59583,6),(59584,5),(59585,5),(59586,2),(59587,6),(59588,1),(59589,6),(59590,9),(59591,8),(59592,4),(59593,5),(59594,7),(59595,8),(59596,2),(59597,3),(59598,3),(59599,6),(59600,4),(59601,4),(59602,5),(59603,3),(59604,5),(59605,5),(59606,6),(59607,9),(59608,3),(59609,9),(59610,9),(59611,6),(59612,6),(59613,3),(59614,3),(59615,7),(59616,6),(59617,5),(59618,3),(59619,8),(59620,4),(59621,9),(59622,6),(59623,9),(59624,3),(59625,3),(59626,3),(59627,6),(59628,4),(59629,5),(59630,9),(59631,9),(59632,7),(59633,5),(59634,6),(59635,6),(59636,3),(59637,2),(59638,4),(59639,9),(59640,1),(59641,7),(59642,6),(59643,7),(59644,9),(59645,6),(59646,6),(59647,7),(59648,3),(59649,9),(59650,5),(59651,4),(59652,8),(59653,9),(59654,6),(59655,1),(59656,3),(59657,9),(59658,6),(59659,6),(59660,4),(59661,7),(59662,4),(59663,4),(59664,2),(59665,7),(59666,8),(59667,3),(59668,9),(59669,1),(59670,4),(59671,9),(59672,5),(59673,6),(59674,1),(59675,2),(59676,9),(59677,5),(59678,4),(59679,7),(59680,2),(59681,5),(59682,6),(59683,1),(59684,5),(59685,9),(59686,2),(59687,9),(59688,4),(59689,8),(59690,5),(59691,6),(59692,7),(59693,3),(59694,3),(59695,2),(59696,2),(59697,2),(59698,2),(59699,4),(59700,7),(59701,8),(59702,7),(59703,5),(59704,8),(59705,8),(59706,7),(59707,2),(59708,3),(59709,2),(59710,9),(59711,4),(59712,8),(59713,9),(59714,6),(59715,5),(59716,9),(59717,4),(59718,3),(59719,8),(59720,9),(59721,6),(59722,3),(59723,5),(59724,9),(59725,9),(59726,8),(59727,5),(59728,5),(59729,2),(59730,7),(59731,9),(59732,7),(59733,2),(59734,5),(59735,8),(59736,6),(59737,7),(59738,4),(59739,1),(59740,3),(59741,4),(59742,9),(59743,2),(59744,2),(59745,4),(59746,9),(59747,7),(59748,3),(59749,2),(59750,1),(59751,2),(59752,9),(59753,1),(59754,6),(59755,3),(59756,3),(59757,6),(59758,3),(59759,6),(59760,5),(59761,2),(59762,6),(59763,9),(59764,5),(59765,5),(59766,4),(59767,2),(59768,6),(59769,1),(59770,1),(59771,7),(59772,7),(59773,4),(59774,9),(59775,6),(59776,9),(59777,1),(59778,2),(59779,3),(59780,6),(59781,3),(59782,2),(59783,2),(59784,4),(59785,1),(59786,4),(59787,4),(59788,5),(59789,7),(59790,5),(59791,6),(59792,7),(59793,5),(59794,2),(59795,5),(59796,4),(59797,5),(59798,6),(59799,3),(59800,3),(59801,4),(59802,4),(59803,2),(59804,4),(59805,5),(59806,6),(59807,3),(59808,3),(59809,8),(59810,9),(59811,8),(59812,9),(59813,5),(59814,5),(59815,8),(59816,1),(59817,6),(59818,1),(59819,7),(59820,3),(59821,8),(59822,1),(59823,9),(59824,4),(59825,6),(59826,4),(59827,2),(59828,7),(59829,8),(59830,4),(59831,4),(59832,5),(59833,8),(59834,3),(59835,4),(59836,8),(59837,6),(59838,7),(59839,2),(59840,4),(59841,9),(59842,8),(59843,4),(59844,3),(59845,8),(59846,1),(59847,2),(59848,6),(59849,5),(59850,1),(59851,5),(59852,2),(59853,6),(59854,8),(59855,4),(59856,9),(59857,8),(59858,6),(59859,6),(59860,5),(59861,7),(59862,6),(59863,9),(59864,1),(59865,7),(59866,7),(59867,2),(59868,5),(59869,1),(59870,9),(59871,2),(59872,2),(59873,8),(59874,9),(59875,5),(59876,8),(59877,9),(59878,4),(59879,2),(59880,7),(59881,8),(59882,6),(59883,1),(59884,2),(59885,2),(59886,7),(59887,4),(59888,4),(59889,3),(59890,8),(59891,9),(59892,4),(59893,1),(59894,2),(59895,1),(59896,3),(59897,3),(59898,3),(59899,6),(59900,7),(59901,7),(59902,8),(59903,4),(59904,6),(59905,4),(59906,3),(59907,8),(59908,3),(59909,2),(59910,5),(59911,3),(59912,5),(59913,6),(59914,1),(59915,8),(59916,3),(59917,3),(59918,3),(59919,6),(59920,7),(59921,2),(59922,3),(59923,8),(59924,1),(59925,5),(59926,5),(59927,7),(59928,7),(59929,1),(59930,9),(59931,1),(59932,2),(59933,6),(59934,1),(59935,7),(59936,6),(59937,3),(59938,8),(59939,3),(59940,4),(59941,7),(59942,4),(59943,1),(59944,9),(59945,1),(59946,5),(59947,3),(59948,3),(59949,5),(59950,3),(59951,6),(59952,5),(59953,7),(59954,3),(59955,3),(59956,5),(59957,5),(59958,7),(59959,3),(59960,6),(59961,9),(59962,2),(59963,3),(59964,6),(59965,3),(59966,1),(59967,7),(59968,2),(59969,9),(59970,6),(59971,2),(59972,3),(59973,5),(59974,8),(59975,7),(59976,5),(59977,7),(59978,1),(59979,3),(59980,1),(59981,1),(59982,1),(59983,9),(59984,4),(59985,3),(59986,3),(59987,3),(59988,7),(59989,7),(59990,5),(59991,2),(59992,6),(59993,8),(59994,2),(59995,5),(59996,4),(59997,6),(59998,1),(59999,5),(60000,9),(60001,6),(60002,9),(60003,6),(60004,9),(60005,2),(60006,2),(60007,2),(60008,5),(60009,5),(60010,5),(60011,4),(60012,8),(60013,4),(60014,5),(60015,2),(60016,3),(60017,5),(60018,2),(60019,5),(60020,1),(60021,1),(60022,7),(60023,3),(60024,9),(60025,1),(60026,4),(60027,7),(60028,4),(60029,8),(60030,9),(60031,4),(60032,3),(60033,4),(60034,1),(60035,6),(60036,1),(60037,1),(60038,8),(60039,3),(60040,3),(60041,2),(60042,4),(60043,8),(60044,6),(60045,2),(60046,5),(60047,6),(60048,1),(60049,5),(60050,8),(60051,3),(60052,7),(60053,3),(60054,4),(60055,3),(60056,9),(60057,7),(60058,1),(60059,8),(60060,8),(60061,4),(60062,5),(60063,1),(60064,2),(60065,9),(60066,6),(60067,7),(60068,7),(60069,9),(60070,6),(60071,5),(60072,5),(60073,3),(60074,8),(60075,9),(60076,4),(60077,9),(60078,4),(60079,2),(60080,9),(60081,7),(60082,1),(60083,5),(60084,7),(60085,9),(60086,9),(60087,6),(60088,5),(60089,5),(60090,5),(60091,5),(60092,4),(60093,8),(60094,5),(60095,5),(60096,6),(60097,2),(60098,5),(60099,9),(60100,3),(60101,3),(60102,8),(60103,2),(60104,4),(60105,7),(60106,2),(60107,2),(60108,7),(60109,3),(60110,6),(60111,7),(60112,1),(60113,3),(60114,1),(60115,4),(60116,7),(60117,6),(60118,8),(60119,8),(60120,5),(60121,8),(60122,7),(60123,6),(60124,7),(60125,9),(60126,1),(60127,1),(60128,9),(60129,5),(60130,4),(60131,1),(60132,3),(60133,4),(60134,7),(60135,7),(60136,8),(60137,2),(60138,5),(60139,2),(60140,4),(60141,9),(60142,3),(60143,8),(60144,3),(60145,6),(60146,5),(60147,6),(60148,3),(60149,4),(60150,4),(60151,7),(60152,2),(60153,6),(60154,6),(60155,5),(60156,8),(60157,8),(60158,9),(60159,2),(60160,9),(60161,5),(60162,9),(60163,2),(60164,6),(60165,3),(60166,3),(60167,7),(60168,3),(60169,3),(60170,6),(60171,7),(60172,7),(60173,7),(60174,4),(60175,7),(60176,2),(60177,8),(60178,9),(60179,1),(60180,4),(60181,5),(60182,7),(60183,3),(60184,8),(60185,6),(60186,8),(60187,4),(60188,6),(60189,5),(60190,9),(60191,9),(60192,7),(60193,1),(60194,1),(60195,9),(60196,1),(60197,1),(60198,6),(60199,2),(60200,7),(60201,2),(60202,9),(60203,7),(60204,8),(60205,7),(60206,3),(60207,1),(60208,6),(60209,4),(60210,5),(60211,3),(60212,3),(60213,4),(60214,1),(60215,7),(60216,8),(60217,8),(60218,9),(60219,1),(60220,4),(60221,8),(60222,7),(60223,3),(60224,4),(60225,4),(60226,6),(60227,1),(60228,5),(60229,2),(60230,6),(60231,7),(60232,8),(60233,4),(60234,5),(60235,5),(60236,8),(60237,5),(60238,8),(60239,2),(60240,5),(60241,4),(60242,2),(60243,5),(60244,3),(60245,2),(60246,5),(60247,1),(60248,2),(60249,1),(60250,2),(60251,6),(60252,5),(60253,4),(60254,5),(60255,3),(60256,5),(60257,8),(60258,3),(60259,6),(60260,9),(60261,6),(60262,6),(60263,4),(60264,6),(60265,2),(60266,4),(60267,7),(60268,6),(60269,2),(60270,7),(60271,1),(60272,9),(60273,7),(60274,9),(60275,9),(60276,5),(60277,3),(60278,8),(60279,5),(60280,9),(60281,3),(60282,8),(60283,2),(60284,7),(60285,2),(60286,4),(60287,7),(60288,6),(60289,1),(60290,9),(60291,3),(60292,6),(60293,5),(60294,9),(60295,1),(60296,9),(60297,7),(60298,2),(60299,2),(60300,4),(60301,1),(60302,6),(60303,2),(60304,3),(60305,9),(60306,7),(60307,2),(60308,8),(60309,3),(60310,4),(60311,9),(60312,9),(60313,7),(60314,2),(60315,1),(60316,3),(60317,6),(60318,3),(60319,6),(60320,4),(60321,4),(60322,4),(60323,3),(60324,1),(60325,5),(60326,9),(60327,2),(60328,2),(60329,2),(60330,6),(60331,3),(60332,1),(60333,1),(60334,4),(60335,1),(60336,3),(60337,5),(60338,8),(60339,3),(60340,8),(60341,6),(60342,7),(60343,7),(60344,1),(60345,8),(60346,2),(60347,4),(60348,3),(60349,3),(60350,1),(60351,3),(60352,5),(60353,4),(60354,8),(60355,4),(60356,5),(60357,1),(60358,4),(60359,4),(60360,6),(60361,3),(60362,7),(60363,2),(60364,3),(60365,1),(60366,2),(60367,7),(60368,2),(60369,4),(60370,6),(60371,5),(60372,8),(60373,5),(60374,5),(60375,8),(60376,3),(60377,6),(60378,3),(60379,1),(60380,4),(60381,3),(60382,9),(60383,4),(60384,1),(60385,4),(60386,3),(60387,7),(60388,6),(60389,2),(60390,2),(60391,4),(60392,2),(60393,4),(60394,5),(60395,9),(60396,5),(60397,9),(60398,7),(60399,4),(60400,5),(60401,4),(60402,3),(60403,7),(60404,2),(60405,3),(60406,8),(60407,2),(60408,6),(60409,8),(60410,4),(60411,9),(60412,4),(60413,4),(60414,5),(60415,1),(60416,6),(60417,7),(60418,6),(60419,4),(60420,2),(60421,6),(60422,4),(60423,4),(60424,3),(60425,3),(60426,5),(60427,6),(60428,9),(60429,8),(60430,7),(60431,9),(60432,1),(60433,7),(60434,1),(60435,7),(60436,3),(60437,5),(60438,4),(60439,9),(60440,3),(60441,6),(60442,4),(60443,4),(60444,1),(60445,4),(60446,2),(60447,8),(60448,9),(60449,1),(60450,9),(60451,1),(60452,2),(60453,2),(60454,3),(60455,2),(60456,4),(60457,6),(60458,3),(60459,1),(60460,8),(60461,5),(60462,6),(60463,1),(60464,2),(60465,6),(60466,8),(60467,9),(60468,2),(60469,6),(60470,1),(60471,5),(60472,4),(60473,2),(60474,4),(60475,8),(60476,5),(60477,2),(60478,4),(60479,7),(60480,8),(60481,6),(60482,1),(60483,6),(60484,4),(60485,1),(60486,6),(60487,5),(60488,7),(60489,6),(60490,2),(60491,6),(60492,5),(60493,2),(60494,1),(60495,9),(60496,8),(60497,3),(60498,2),(60499,1),(60500,5),(60501,7),(60502,3),(60503,5),(60504,3),(60505,6),(60506,1),(60507,3),(60508,3),(60509,1),(60510,6),(60511,8),(60512,2),(60513,8),(60514,6),(60515,5),(60516,1),(60517,6),(60518,2),(60519,6),(60520,8),(60521,5),(60522,1),(60523,4),(60524,1),(60525,5),(60526,8),(60527,5),(60528,7),(60529,8),(60530,4),(60531,8),(60532,1),(60533,4),(60534,5),(60535,6),(60536,8),(60537,5),(60538,5),(60539,4),(60540,2),(60541,6),(60542,1),(60543,7),(60544,9),(60545,3),(60546,5),(60547,1),(60548,3),(60549,4),(60550,4),(60551,9),(60552,7),(60553,2),(60554,6),(60555,3),(60556,8),(60557,9),(60558,8),(60559,8),(60560,8),(60561,5),(60562,5),(60563,4),(60564,6),(60565,9),(60566,5),(60567,4),(60568,7),(60569,5),(60570,6),(60571,4),(60572,1),(60573,6),(60574,6),(60575,4),(60576,9),(60577,1),(60578,3),(60579,7),(60580,8),(60581,2),(60582,7),(60583,8),(60584,8),(60585,2),(60586,6),(60587,7),(60588,6),(60589,8),(60590,3),(60591,9),(60592,4),(60593,6),(60594,6),(60595,2),(60596,2),(60597,5),(60598,8),(60599,5),(60600,9),(60601,2),(60602,5),(60603,9),(60604,1),(60605,6),(60606,9),(60607,3),(60608,1),(60609,1),(60610,5),(60611,2),(60612,8),(60613,8),(60614,2),(60615,9),(60616,2),(60617,9),(60618,2),(60619,8),(60620,1),(60621,6),(60622,9),(60623,4),(60624,4),(60625,7),(60626,3),(60627,5),(60628,3),(60629,6),(60630,9),(60631,4),(60632,5),(60633,6),(60634,8),(60635,2),(60636,6),(60637,6),(60638,4),(60639,2),(60640,2),(60641,5),(60642,3),(60643,1),(60644,8),(60645,9),(60646,9),(60647,4),(60648,9),(60649,5),(60650,6),(60651,1),(60652,5),(60653,9),(60654,8),(60655,3),(60656,1),(60657,7),(60658,8),(60659,5),(60660,4),(60661,7),(60662,3),(60663,3),(60664,5),(60665,1),(60666,9),(60667,9),(60668,1),(60669,6),(60670,7),(60671,4),(60672,9),(60673,2),(60674,6),(60675,3),(60676,6),(60677,2),(60678,5),(60679,7),(60680,7),(60681,1),(60682,2),(60683,1),(60684,7),(60685,5),(60686,2),(60687,3),(60688,6),(60689,6),(60690,8),(60691,4),(60692,1),(60693,3),(60694,6),(60695,5),(60696,3),(60697,5),(60698,5),(60699,1),(60700,6),(60701,2),(60702,5),(60703,4),(60704,6),(60705,4),(60706,6),(60707,1),(60708,4),(60709,8),(60710,2),(60711,1),(60712,2),(60713,8),(60714,5),(60715,5),(60716,7),(60717,8),(60718,2),(60719,6),(60720,5),(60721,6),(60722,2),(60723,6),(60724,6),(60725,4),(60726,9),(60727,1),(60728,9),(60729,6),(60730,8),(60731,3),(60732,4),(60733,1),(60734,6),(60735,8),(60736,1),(60737,6),(60738,5),(60739,3),(60740,4),(60741,3),(60742,9),(60743,8),(60744,3),(60745,4),(60746,1),(60747,1),(60748,8),(60749,6),(60750,7),(60751,1),(60752,1),(60753,4),(60754,2),(60755,1),(60756,1),(60757,3),(60758,4),(60759,8),(60760,4),(60761,4),(60762,9),(60763,2),(60764,1),(60765,3),(60766,5),(60767,5),(60768,2),(60769,4),(60770,5),(60771,1),(60772,9),(60773,7),(60774,9),(60775,5),(60776,5),(60777,1),(60778,5),(60779,9),(60780,8),(60781,5),(60782,3),(60783,1),(60784,8),(60785,9),(60786,2),(60787,3),(60788,9),(60789,6),(60790,1),(60791,3),(60792,7),(60793,1),(60794,8),(60795,4),(60796,2),(60797,9),(60798,3),(60799,6),(60800,3),(60801,7),(60802,2),(60803,1),(60804,9),(60805,3),(60806,8),(60807,2),(60808,5),(60809,8),(60810,4),(60811,3),(60812,4),(60813,9),(60814,7),(60815,5),(60816,5),(60817,3),(60818,9),(60819,3),(60820,5),(60821,7),(60822,2),(60823,1),(60824,2),(60825,8),(60826,1),(60827,4),(60828,1),(60829,5),(60830,4),(60831,9),(60832,1),(60833,3),(60834,9),(60835,4),(60836,6),(60837,8),(60838,3),(60839,5),(60840,4),(60841,7),(60842,4),(60843,6),(60844,1),(60845,4),(60846,9),(60847,1),(60848,6),(60849,7),(60850,1),(60851,3),(60852,5),(60853,5),(60854,1),(60855,3),(60856,3),(60857,9),(60858,9),(60859,7),(60860,2),(60861,7),(60862,9),(60863,4),(60864,4),(60865,5),(60866,9),(60867,8),(60868,3),(60869,4),(60870,6),(60871,1),(60872,9),(60873,6),(60874,3),(60875,7),(60876,5),(60877,2),(60878,4),(60879,4),(60880,1),(60881,5),(60882,8),(60883,8),(60884,3),(60885,1),(60886,2),(60887,6),(60888,7),(60889,1),(60890,5),(60891,8),(60892,3),(60893,4),(60894,5),(60895,3),(60896,8),(60897,8),(60898,9),(60899,6),(60900,9),(60901,2),(60902,4),(60903,6),(60904,1),(60905,9),(60906,6),(60907,1),(60908,3),(60909,6),(60910,4),(60911,4),(60912,4),(60913,2),(60914,9),(60915,7),(60916,8),(60917,1),(60918,1),(60919,9),(60920,3),(60921,9),(60922,1),(60923,7),(60924,9),(60925,6),(60926,2),(60927,7),(60928,8),(60929,1),(60930,2),(60931,9),(60932,2),(60933,8),(60934,5),(60935,8),(60936,8),(60937,3),(60938,4),(60939,3),(60940,1),(60941,9),(60942,8),(60943,4),(60944,5),(60945,9),(60946,9),(60947,2),(60948,3),(60949,8),(60950,6),(60951,8),(60952,9),(60953,4),(60954,4),(60955,3),(60956,3),(60957,9),(60958,7),(60959,3),(60960,6),(60961,9),(60962,2),(60963,2),(60964,5),(60965,1),(60966,9),(60967,4),(60968,9),(60969,3),(60970,9),(60971,4),(60972,5),(60973,9),(60974,2),(60975,9),(60976,3),(60977,2),(60978,8),(60979,8),(60980,8),(60981,4),(60982,5),(60983,1),(60984,4),(60985,4),(60986,1),(60987,1),(60988,3),(60989,9),(60990,6),(60991,8),(60992,4),(60993,6),(60994,3),(60995,1),(60996,1),(60997,6),(60998,4),(60999,4),(61000,3),(61001,7),(61002,8),(61003,7),(61004,1),(61005,7),(61006,5),(61007,8),(61008,4),(61009,2),(61010,9),(61011,1),(61012,1),(61013,2),(61014,5),(61015,1),(61016,9),(61017,8),(61018,1),(61019,5),(61020,5),(61021,4),(61022,6),(61023,9),(61024,2),(61025,2),(61026,2),(61027,9),(61028,9),(61029,9),(61030,7),(61031,6),(61032,9),(61033,7),(61034,6),(61035,8),(61036,1),(61037,2),(61038,7),(61039,6),(61040,6),(61041,3),(61042,5),(61043,6),(61044,8),(61045,5),(61046,9),(61047,7),(61048,4),(61049,5),(61050,4),(61051,5),(61052,7),(61053,6),(61054,8),(61055,1),(61056,3),(61057,5),(61058,1),(61059,2),(61060,4),(61061,6),(61062,5),(61063,2),(61064,4),(61065,4),(61066,5),(61067,4),(61068,4),(61069,8),(61070,2),(61071,1),(61072,1),(61073,1),(61074,6),(61075,2),(61076,8),(61077,4),(61078,1),(61079,7),(61080,3),(61081,6),(61082,9),(61083,5),(61084,3),(61085,1),(61086,4),(61087,2),(61088,7),(61089,3),(61090,5),(61091,9),(61092,9),(61093,6),(61094,8),(61095,9),(61096,2),(61097,8),(61098,8),(61099,4),(61100,6),(61101,1),(61102,9),(61103,9),(61104,8),(61105,1),(61106,3),(61107,9),(61108,3),(61109,1),(61110,1),(61111,3),(61112,9),(61113,6),(61114,6),(61115,7),(61116,4),(61117,2),(61118,6),(61119,7),(61120,7),(61121,4),(61122,8),(61123,9),(61124,9),(61125,9),(61126,7),(61127,1),(61128,4),(61129,6),(61130,5),(61131,6),(61132,2),(61133,1),(61134,7),(61135,3),(61136,5),(61137,5),(61138,9),(61139,4),(61140,5),(61141,7),(61142,9),(61143,6),(61144,2),(61145,4),(61146,2),(61147,7),(61148,9),(61149,4),(61150,6),(61151,4),(61152,4),(61153,8),(61154,2),(61155,1),(61156,6),(61157,7),(61158,8),(61159,1),(61160,8),(61161,1),(61162,8),(61163,5),(61164,7),(61165,9),(61166,4),(61167,5),(61168,1),(61169,5),(61170,2),(61171,3),(61172,9),(61173,4),(61174,5),(61175,8),(61176,6),(61177,3),(61178,9),(61179,5),(61180,8),(61181,4),(61182,5),(61183,2),(61184,5),(61185,6),(61186,6),(61187,3),(61188,7),(61189,8),(61190,6),(61191,5),(61192,9),(61193,9),(61194,7),(61195,5),(61196,6),(61197,9),(61198,2),(61199,2),(61200,6),(61201,5),(61202,7),(61203,4),(61204,1),(61205,4),(61206,3),(61207,9),(61208,1),(61209,9),(61210,1),(61211,2),(61212,5),(61213,3),(61214,9),(61215,7),(61216,3),(61217,6),(61218,9),(61219,5),(61220,2),(61221,3),(61222,4),(61223,8),(61224,3),(61225,3),(61226,3),(61227,9),(61228,4),(61229,5),(61230,4),(61231,3),(61232,4),(61233,3),(61234,4),(61235,9),(61236,9),(61237,3),(61238,6),(61239,9),(61240,7),(61241,5),(61242,8),(61243,2),(61244,6),(61245,4),(61246,4),(61247,5),(61248,1),(61249,2),(61250,3),(61251,3),(61252,9),(61253,4),(61254,4),(61255,3),(61256,9),(61257,4),(61258,7),(61259,2),(61260,5),(61261,1),(61262,3),(61263,6),(61264,7),(61265,8),(61266,8),(61267,8),(61268,2),(61269,8),(61270,8),(61271,3),(61272,9),(61273,6),(61274,6),(61275,9),(61276,9),(61277,7),(61278,1),(61279,6),(61280,7),(61281,4),(61282,3),(61283,7),(61284,9),(61285,9),(61286,3),(61287,5),(61288,9),(61289,8),(61290,4),(61291,8),(61292,3),(61293,2),(61294,2),(61295,5),(61296,9),(61297,3),(61298,8),(61299,2),(61300,2),(61301,5),(61302,1),(61303,5),(61304,5),(61305,2),(61306,5),(61307,4),(61308,5),(61309,4),(61310,2),(61311,4),(61312,8),(61313,6),(61314,2),(61315,2),(61316,9),(61317,6),(61318,2),(61319,1),(61320,4),(61321,4),(61322,7),(61323,3),(61324,2),(61325,4),(61326,4),(61327,2),(61328,1),(61329,9),(61330,5),(61331,1),(61332,4),(61333,8),(61334,8),(61335,6),(61336,3),(61337,8),(61338,4),(61339,9),(61340,8),(61341,8),(61342,6),(61343,2),(61344,1),(61345,6),(61346,5),(61347,8),(61348,7),(61349,9),(61350,1),(61351,9),(61352,8),(61353,3),(61354,7),(61355,1),(61356,5),(61357,9),(61358,9),(61359,8),(61360,2),(61361,4),(61362,6),(61363,8),(61364,6),(61365,3),(61366,2),(61367,3),(61368,8),(61369,1),(61370,6),(61371,6),(61372,9),(61373,6),(61374,1),(61375,2),(61376,1),(61377,5),(61378,6),(61379,1),(61380,4),(61381,7),(61382,4),(61383,2),(61384,2),(61385,4),(61386,7),(61387,5),(61388,1),(61389,5),(61390,3),(61391,1),(61392,1),(61393,8),(61394,7),(61395,9),(61396,2),(61397,4),(61398,9),(61399,7),(61400,2),(61401,1),(61402,6),(61403,7),(61404,9),(61405,8),(61406,5),(61407,3),(61408,5),(61409,6),(61410,4),(61411,1),(61412,6),(61413,8),(61414,6),(61415,9),(61416,8),(61417,7),(61418,2),(61419,1),(61420,7),(61421,2),(61422,3),(61423,5),(61424,7),(61425,6),(61426,9),(61427,2),(61428,3),(61429,3),(61430,1),(61431,5),(61432,9),(61433,6),(61434,5),(61435,1),(61436,2),(61437,3),(61438,6),(61439,5),(61440,1),(61441,3),(61442,1),(61443,8),(61444,5),(61445,5),(61446,6),(61447,4),(61448,5),(61449,5),(61450,2),(61451,2),(61452,1),(61453,1),(61454,4),(61455,5),(61456,9),(61457,1),(61458,3),(61459,6),(61460,8),(61461,9),(61462,2),(61463,2),(61464,1),(61465,6),(61466,8),(61467,1),(61468,3),(61469,5),(61470,2),(61471,6),(61472,1),(61473,9),(61474,2),(61475,8),(61476,6),(61477,1),(61478,2),(61479,3),(61480,5),(61481,9),(61482,3),(61483,3),(61484,6),(61485,1),(61486,3),(61487,8),(61488,7),(61489,7),(61490,7),(61491,2),(61492,7),(61493,1),(61494,7),(61495,5),(61496,1),(61497,8),(61498,9),(61499,9),(61500,6),(61501,4),(61502,3),(61503,5),(61504,5),(61505,5),(61506,9),(61507,9),(61508,6),(61509,5),(61510,3),(61511,5),(61512,8),(61513,7),(61514,4),(61515,1),(61516,3),(61517,1),(61518,6),(61519,5),(61520,7),(61521,4),(61522,3),(61523,7),(61524,2),(61525,6),(61526,5),(61527,5),(61528,6),(61529,5),(61530,9),(61531,5),(61532,8),(61533,7),(61534,4),(61535,6),(61536,6),(61537,9),(61538,5),(61539,7),(61540,7),(61541,3),(61542,5),(61543,4),(61544,6),(61545,9),(61546,3),(61547,4),(61548,8),(61549,8),(61550,6),(61551,8),(61552,5),(61553,7),(61554,2),(61555,5),(61556,2),(61557,8),(61558,4),(61559,7),(61560,1),(61561,5),(61562,3),(61563,7),(61564,4),(61565,4),(61566,7),(61567,2),(61568,8),(61569,2),(61570,4),(61571,5),(61572,3),(61573,7),(61574,8),(61575,3),(61576,6),(61577,3),(61578,4),(61579,6),(61580,4),(61581,2),(61582,9),(61583,3),(61584,5),(61585,5),(61586,2),(61587,5),(61588,3),(61589,1),(61590,7),(61591,7),(61592,2),(61593,8),(61594,3),(61595,8),(61596,4),(61597,1),(61598,1),(61599,1),(61600,7),(61601,4),(61602,3),(61603,1),(61604,4),(61605,8),(61606,6),(61607,9),(61608,7),(61609,7),(61610,3),(61611,5),(61612,2),(61613,9),(61614,8),(61615,2),(61616,9),(61617,4),(61618,3),(61619,7),(61620,1),(61621,7),(61622,5),(61623,8),(61624,1),(61625,2),(61626,2),(61627,9),(61628,8),(61629,5),(61630,1),(61631,7),(61632,5),(61633,9),(61634,2),(61635,6),(61636,5),(61637,4),(61638,8),(61639,4),(61640,6),(61641,6),(61642,6),(61643,8),(61644,9),(61645,1),(61646,7),(61647,8),(61648,5),(61649,8),(61650,5),(61651,2),(61652,3),(61653,8),(61654,8),(61655,4),(61656,6),(61657,3),(61658,8),(61659,8),(61660,3),(61661,8),(61662,8),(61663,1),(61664,7),(61665,5),(61666,3),(61667,7),(61668,1),(61669,4),(61670,5),(61671,9),(61672,4),(61673,1),(61674,4),(61675,7),(61676,9),(61677,5),(61678,5),(61679,2),(61680,7),(61681,3),(61682,6),(61683,1),(61684,1),(61685,8),(61686,9),(61687,7),(61688,7),(61689,6),(61690,2),(61691,5),(61692,5),(61693,4),(61694,9),(61695,9),(61696,9),(61697,3),(61698,7),(61699,9),(61700,2),(61701,2),(61702,1),(61703,5),(61704,2),(61705,5),(61706,2),(61707,3),(61708,6),(61709,3),(61710,7),(61711,1),(61712,9),(61713,5),(61714,9),(61715,2),(61716,3),(61717,3),(61718,8),(61719,3),(61720,7),(61721,4),(61722,4),(61723,9),(61724,6),(61725,6),(61726,1),(61727,8),(61728,5),(61729,9),(61730,9),(61731,2),(61732,8),(61733,2),(61734,7),(61735,4),(61736,2),(61737,4),(61738,4),(61739,5),(61740,2),(61741,7),(61742,3),(61743,6),(61744,5),(61745,7),(61746,3),(61747,2),(61748,4),(61749,1),(61750,1),(61751,9),(61752,8),(61753,8),(61754,1),(61755,6),(61756,6),(61757,5),(61758,7),(61759,6),(61760,4),(61761,7),(61762,8),(61763,7),(61764,4),(61765,1),(61766,3),(61767,9),(61768,8),(61769,4),(61770,2),(61771,7),(61772,6),(61773,8),(61774,1),(61775,3),(61776,6),(61777,6),(61778,1),(61779,7),(61780,7),(61781,1),(61782,8),(61783,7),(61784,7),(61785,3),(61786,7),(61787,6),(61788,4),(61789,2),(61790,9),(61791,2),(61792,4),(61793,7),(61794,3),(61795,4),(61796,6),(61797,5),(61798,5),(61799,1),(61800,1),(61801,2),(61802,2),(61803,6),(61804,3),(61805,1),(61806,6),(61807,5),(61808,8),(61809,3),(61810,6),(61811,2),(61812,7),(61813,9),(61814,6),(61815,3),(61816,5),(61817,6),(61818,5),(61819,6),(61820,3),(61821,9),(61822,1),(61823,7),(61824,8),(61825,7),(61826,1),(61827,6),(61828,4),(61829,1),(61830,5),(61831,7),(61832,5),(61833,8),(61834,6),(61835,2),(61836,3),(61837,4),(61838,7),(61839,4),(61840,6),(61841,1),(61842,6),(61843,5),(61844,8),(61845,3),(61846,6),(61847,3),(61848,1),(61849,3),(61850,1),(61851,3),(61852,7),(61853,8),(61854,2),(61855,7),(61856,9),(61857,9),(61858,9),(61859,7),(61860,8),(61861,8),(61862,1),(61863,9),(61864,9),(61865,3),(61866,8),(61867,5),(61868,6),(61869,7),(61870,2),(61871,3),(61872,6),(61873,7),(61874,6),(61875,6),(61876,9),(61877,7),(61878,1),(61879,6),(61880,2),(61881,1),(61882,8),(61883,6),(61884,7),(61885,9),(61886,5),(61887,6),(61888,6),(61889,3),(61890,2),(61891,7),(61892,6),(61893,5),(61894,1),(61895,4),(61896,9),(61897,2),(61898,9),(61899,8),(61900,6),(61901,1),(61902,8),(61903,5),(61904,5),(61905,4),(61906,1),(61907,4),(61908,1),(61909,3),(61910,9),(61911,7),(61912,1),(61913,4),(61914,5),(61915,9),(61916,8),(61917,8),(61918,1),(61919,9),(61920,7),(61921,3),(61922,2),(61923,9),(61924,2),(61925,1),(61926,7),(61927,3),(61928,6),(61929,7),(61930,8),(61931,5),(61932,5),(61933,1),(61934,3),(61935,7),(61936,3),(61937,3),(61938,8),(61939,8),(61940,8),(61941,2),(61942,6),(61943,9),(61944,8),(61945,5),(61946,7),(61947,8),(61948,4),(61949,4),(61950,6),(61951,7),(61952,1),(61953,5),(61954,6),(61955,7),(61956,1),(61957,6),(61958,4),(61959,4),(61960,2),(61961,2),(61962,2),(61963,1),(61964,8),(61965,1),(61966,4),(61967,3),(61968,3),(61969,9),(61970,5),(61971,9),(61972,5),(61973,3),(61974,3),(61975,7),(61976,5),(61977,8),(61978,2),(61979,2),(61980,5),(61981,4),(61982,2),(61983,4),(61984,7),(61985,5),(61986,1),(61987,3),(61988,1),(61989,7),(61990,6),(61991,9),(61992,5),(61993,8),(61994,6),(61995,6),(61996,3),(61997,2),(61998,7),(61999,4),(62000,6),(62001,4),(62002,2),(62003,8),(62004,4),(62005,1),(62006,7),(62007,3),(62008,7),(62009,8),(62010,1),(62011,5),(62012,5),(62013,2),(62014,8),(62015,9),(62016,9),(62017,2),(62018,3),(62019,3),(62020,3),(62021,7),(62022,6),(62023,6),(62024,4),(62025,1),(62026,7),(62027,8),(62028,2),(62029,7),(62030,3),(62031,9),(62032,7),(62033,8),(62034,5),(62035,1),(62036,5),(62037,2),(62038,4),(62039,7),(62040,6),(62041,4),(62042,9),(62043,5),(62044,2),(62045,7),(62046,8),(62047,5),(62048,2),(62049,2),(62050,4),(62051,2),(62052,1),(62053,8),(62054,1),(62055,3),(62056,6),(62057,4),(62058,2),(62059,1),(62060,6),(62061,8),(62062,7),(62063,5),(62064,2),(62065,5),(62066,5),(62067,6),(62068,7),(62069,3),(62070,2),(62071,1),(62072,9),(62073,2),(62074,3),(62075,7),(62076,6),(62077,3),(62078,8),(62079,4),(62080,6),(62081,2),(62082,1),(62083,8),(62084,9),(62085,3),(62086,7),(62087,3),(62088,5),(62089,5),(62090,2),(62091,1),(62092,6),(62093,5),(62094,5),(62095,9),(62096,8),(62097,4),(62098,8),(62099,4),(62100,3),(62101,1),(62102,3),(62103,6),(62104,2),(62105,1),(62106,8),(62107,9),(62108,8),(62109,4),(62110,5),(62111,3),(62112,2),(62113,8),(62114,1),(62115,7),(62116,1),(62117,1),(62118,7),(62119,3),(62120,3),(62121,1),(62122,2),(62123,6),(62124,6),(62125,9),(62126,7),(62127,4),(62128,1),(62129,1),(62130,5),(62131,5),(62132,1),(62133,3),(62134,3),(62135,9),(62136,3),(62137,8),(62138,9),(62139,1),(62140,2),(62141,3),(62142,1),(62143,1),(62144,8),(62145,7),(62146,9),(62147,8),(62148,7),(62149,5),(62150,7),(62151,7),(62152,1),(62153,3),(62154,8),(62155,2),(62156,3),(62157,2),(62158,1),(62159,5),(62160,3),(62161,7),(62162,3),(62163,3),(62164,9),(62165,9),(62166,4),(62167,7),(62168,7),(62169,7),(62170,6),(62171,7),(62172,2),(62173,9),(62174,1),(62175,7),(62176,8),(62177,3),(62178,5),(62179,6),(62180,2),(62181,2),(62182,6),(62183,2),(62184,8),(62185,1),(62186,7),(62187,8),(62188,5),(62189,3),(62190,7),(62191,7),(62192,3),(62193,1),(62194,5),(62195,8),(62196,4),(62197,9),(62198,2),(62199,9),(62200,4),(62201,5),(62202,8),(62203,4),(62204,2),(62205,2),(62206,1),(62207,3),(62208,9),(62209,2),(62210,7),(62211,5),(62212,2),(62213,6),(62214,4),(62215,6),(62216,8),(62217,5),(62218,7),(62219,9),(62220,9),(62221,5),(62222,2),(62223,9),(62224,6),(62225,9),(62226,7),(62227,7),(62228,9),(62229,3),(62230,3),(62231,2),(62232,9),(62233,5),(62234,5),(62235,3),(62236,6),(62237,2),(62238,3),(62239,6),(62240,4),(62241,5),(62242,6),(62243,7),(62244,1),(62245,3),(62246,6),(62247,9),(62248,2),(62249,5),(62250,4),(62251,4),(62252,4),(62253,4),(62254,1),(62255,4),(62256,7),(62257,2),(62258,4),(62259,4),(62260,3),(62261,8),(62262,5),(62263,8),(62264,7),(62265,9),(62266,2),(62267,2),(62268,7),(62269,6),(62270,7),(62271,6),(62272,1),(62273,2),(62274,4),(62275,4),(62276,6),(62277,3),(62278,6),(62279,9),(62280,4),(62281,4),(62282,5),(62283,1),(62284,8),(62285,7),(62286,2),(62287,2),(62288,4),(62289,1),(62290,1),(62291,4),(62292,1),(62293,4),(62294,3),(62295,9),(62296,6),(62297,6),(62298,1),(62299,9),(62300,7),(62301,6),(62302,6),(62303,7),(62304,2),(62305,9),(62306,6),(62307,9),(62308,5),(62309,4),(62310,1),(62311,9),(62312,2),(62313,8),(62314,8),(62315,3),(62316,9),(62317,6),(62318,7),(62319,9),(62320,9),(62321,5),(62322,5),(62323,8),(62324,9),(62325,9),(62326,9),(62327,5),(62328,9),(62329,5),(62330,4),(62331,9),(62332,3),(62333,1),(62334,1),(62335,1),(62336,2),(62337,5),(62338,6),(62339,2),(62340,2),(62341,6),(62342,5),(62343,1),(62344,7),(62345,6),(62346,4),(62347,8),(62348,5),(62349,1),(62350,8),(62351,6),(62352,6),(62353,3),(62354,9),(62355,3),(62356,9),(62357,9),(62358,1),(62359,3),(62360,6),(62361,6),(62362,4),(62363,8),(62364,1),(62365,9),(62366,4),(62367,1),(62368,9),(62369,4),(62370,5),(62371,2),(62372,9),(62373,7),(62374,8),(62375,4),(62376,8),(62377,7),(62378,9),(62379,7),(62380,1),(62381,5),(62382,2),(62383,9),(62384,1),(62385,4),(62386,4),(62387,4),(62388,6),(62389,7),(62390,2),(62391,8),(62392,1),(62393,9),(62394,5),(62395,2),(62396,9),(62397,6),(62398,6),(62399,6),(62400,3),(62401,9),(62402,1),(62403,2),(62404,3),(62405,6),(62406,6),(62407,1),(62408,5),(62409,8),(62410,7),(62411,8),(62412,2),(62413,3),(62414,3),(62415,7),(62416,6),(62417,4),(62418,3),(62419,4),(62420,1),(62421,8),(62422,2),(62423,7),(62424,9),(62425,9),(62426,5),(62427,7),(62428,8),(62429,4),(62430,5),(62431,2),(62432,2),(62433,2),(62434,9),(62435,6),(62436,6),(62437,8),(62438,2),(62439,4),(62440,8),(62441,4),(62442,8),(62443,8),(62444,2),(62445,6),(62446,7),(62447,9),(62448,7),(62449,3),(62450,9),(62451,6),(62452,7),(62453,6),(62454,2),(62455,8),(62456,2),(62457,5),(62458,8),(62459,2),(62460,3),(62461,1),(62462,1),(62463,2),(62464,3),(62465,4),(62466,9),(62467,1),(62468,8),(62469,5),(62470,5),(62471,5),(62472,6),(62473,7),(62474,5),(62475,2),(62476,5),(62477,7),(62478,8),(62479,7),(62480,3),(62481,5),(62482,9),(62483,3),(62484,5),(62485,7),(62486,1),(62487,9),(62488,3),(62489,9),(62490,2),(62491,1),(62492,8),(62493,3),(62494,1),(62495,7),(62496,8),(62497,5),(62498,8),(62499,8),(62500,5),(62501,4),(62502,5),(62503,4),(62504,2),(62505,2),(62506,3),(62507,3),(62508,6),(62509,8),(62510,7),(62511,7),(62512,6),(62513,8),(62514,9),(62515,6),(62516,2),(62517,5),(62518,9),(62519,5),(62520,6),(62521,4),(62522,5),(62523,7),(62524,4),(62525,6),(62526,2),(62527,9),(62528,4),(62529,9),(62530,6),(62531,5),(62532,1),(62533,5),(62534,3),(62535,5),(62536,4),(62537,7),(62538,2),(62539,5),(62540,8),(62541,4),(62542,1),(62543,5),(62544,4),(62545,1),(62546,6),(62547,3),(62548,2),(62549,5),(62550,1),(62551,3),(62552,6),(62553,1),(62554,1),(62555,2),(62556,8),(62557,1),(62558,9),(62559,2),(62560,6),(62561,7),(62562,3),(62563,8),(62564,3),(62565,1),(62566,7),(62567,7),(62568,2),(62569,5),(62570,5),(62571,2),(62572,6),(62573,2),(62574,2),(62575,7),(62576,3),(62577,1),(62578,7),(62579,2),(62580,6),(62581,9),(62582,1),(62583,6),(62584,3),(62585,2),(62586,7),(62587,9),(62588,8),(62589,7),(62590,3),(62591,4),(62592,7),(62593,8),(62594,3),(62595,3),(62596,6),(62597,4),(62598,4),(62599,9),(62600,3),(62601,4),(62602,3),(62603,1),(62604,4),(62605,1),(62606,3),(62607,9),(62608,2),(62609,6),(62610,7),(62611,4),(62612,8),(62613,8),(62614,7),(62615,7),(62616,6),(62617,1),(62618,1),(62619,1),(62620,7),(62621,5),(62622,3),(62623,2),(62624,5),(62625,4),(62626,2),(62627,8),(62628,7),(62629,7),(62630,6),(62631,7),(62632,3),(62633,2),(62634,6),(62635,5),(62636,5),(62637,4),(62638,1),(62639,2),(62640,2),(62641,4),(62642,3),(62643,5),(62644,4),(62645,6),(62646,5),(62647,4),(62648,3),(62649,3),(62650,3),(62651,6),(62652,7),(62653,2),(62654,6),(62655,4),(62656,3),(62657,2),(62658,6),(62659,1),(62660,1),(62661,1),(62662,9),(62663,5),(62664,1),(62665,6),(62666,7),(62667,7),(62668,2),(62669,3),(62670,3),(62671,4),(62672,4),(62673,8),(62674,2),(62675,1),(62676,9),(62677,1),(62678,9),(62679,6),(62680,1),(62681,8),(62682,7),(62683,4),(62684,3),(62685,6),(62686,5),(62687,7),(62688,5),(62689,8),(62690,3),(62691,8),(62692,4),(62693,5),(62694,8),(62695,1),(62696,6),(62697,4),(62698,5),(62699,8),(62700,2),(62701,5),(62702,3),(62703,6),(62704,6),(62705,6),(62706,7),(62707,6),(62708,3),(62709,5),(62710,3),(62711,2),(62712,7),(62713,7),(62714,4),(62715,3),(62716,1),(62717,7),(62718,5),(62719,2),(62720,9),(62721,3),(62722,4),(62723,3),(62724,3),(62725,6),(62726,9),(62727,1),(62728,3),(62729,5),(62730,6),(62731,5),(62732,1),(62733,6),(62734,2),(62735,9),(62736,6),(62737,2),(62738,8),(62739,2),(62740,3),(62741,4),(62742,5),(62743,1),(62744,8),(62745,7),(62746,9),(62747,9),(62748,5),(62749,7),(62750,3),(62751,5),(62752,1),(62753,6),(62754,9),(62755,8),(62756,7),(62757,3),(62758,4),(62759,3),(62760,3),(62761,2),(62762,2),(62763,1),(62764,2),(62765,1),(62766,7),(62767,8),(62768,3),(62769,3),(62770,4),(62771,9),(62772,8),(62773,5),(62774,5),(62775,1),(62776,8),(62777,6),(62778,3),(62779,3),(62780,5),(62781,3),(62782,5),(62783,1),(62784,6),(62785,1),(62786,5),(62787,1),(62788,4),(62789,4),(62790,2),(62791,1),(62792,8),(62793,8),(62794,4),(62795,5),(62796,5),(62797,5),(62798,9),(62799,3),(62800,4),(62801,7),(62802,1),(62803,7),(62804,8),(62805,9),(62806,1),(62807,3),(62808,3),(62809,8),(62810,1),(62811,7),(62812,8),(62813,1),(62814,8),(62815,5),(62816,4),(62817,8),(62818,7),(62819,3),(62820,2),(62821,2),(62822,7),(62823,1),(62824,1),(62825,4),(62826,2),(62827,3),(62828,9),(62829,9),(62830,3),(62831,9),(62832,3),(62833,6),(62834,5),(62835,5),(62836,1),(62837,7),(62838,2),(62839,8),(62840,6),(62841,5),(62842,5),(62843,7),(62844,6),(62845,9),(62846,4),(62847,6),(62848,1),(62849,9),(62850,7),(62851,3),(62852,9),(62853,6),(62854,3),(62855,6),(62856,8),(62857,6),(62858,5),(62859,1),(62860,7),(62861,9),(62862,3),(62863,4),(62864,3),(62865,9),(62866,4),(62867,3),(62868,9),(62869,8),(62870,3),(62871,5),(62872,9),(62873,5),(62874,7),(62875,7),(62876,1),(62877,6),(62878,5),(62879,8),(62880,6),(62881,7),(62882,6),(62883,5),(62884,7),(62885,5),(62886,4),(62887,8),(62888,3),(62889,3),(62890,3),(62891,3),(62892,6),(62893,9),(62894,3),(62895,9),(62896,8),(62897,2),(62898,6),(62899,3),(62900,8),(62901,6),(62902,4),(62903,6),(62904,4),(62905,9),(62906,7),(62907,6),(62908,2),(62909,3),(62910,8),(62911,6),(62912,4),(62913,5),(62914,4),(62915,6),(62916,3),(62917,4),(62918,6),(62919,7),(62920,9),(62921,7),(62922,8),(62923,6),(62924,8),(62925,1),(62926,6),(62927,2),(62928,4),(62929,5),(62930,4),(62931,7),(62932,1),(62933,7),(62934,6),(62935,4),(62936,9),(62937,2),(62938,6),(62939,2),(62940,9),(62941,6),(62942,2),(62943,9),(62944,3),(62945,1),(62946,7),(62947,6),(62948,6),(62949,8),(62950,8),(62951,3),(62952,8),(62953,2),(62954,7),(62955,6),(62956,1),(62957,8),(62958,2),(62959,8),(62960,3),(62961,9),(62962,2),(62963,9),(62964,2),(62965,1),(62966,1),(62967,6),(62968,5),(62969,6),(62970,5),(62971,4),(62972,1),(62973,1),(62974,2),(62975,8),(62976,9),(62977,3),(62978,4),(62979,4),(62980,9),(62981,1),(62982,9),(62983,6),(62984,2),(62985,5),(62986,8),(62987,7),(62988,2),(62989,8),(62990,1),(62991,9),(62992,1),(62993,3),(62994,3),(62995,2),(62996,2),(62997,9),(62998,5),(62999,5),(63000,3),(63001,1),(63002,9),(63003,5),(63004,3),(63005,1),(63006,4),(63007,3),(63008,5),(63009,4),(63010,6),(63011,8),(63012,6),(63013,2),(63014,8),(63015,1),(63016,7),(63017,4),(63018,7),(63019,4),(63020,1),(63021,6),(63022,6),(63023,6),(63024,4),(63025,3),(63026,6),(63027,5),(63028,4),(63029,4),(63030,3),(63031,4),(63032,6),(63033,5),(63034,9),(63035,9),(63036,4),(63037,7),(63038,7),(63039,4),(63040,7),(63041,7),(63042,5),(63043,3),(63044,2),(63045,1),(63046,3),(63047,9),(63048,9),(63049,1),(63050,7),(63051,8),(63052,6),(63053,1),(63054,3),(63055,2),(63056,9),(63057,1),(63058,5),(63059,2),(63060,7),(63061,1),(63062,6),(63063,2),(63064,7),(63065,6),(63066,2),(63067,2),(63068,7),(63069,8),(63070,6),(63071,1),(63072,7),(63073,4),(63074,5),(63075,6),(63076,4),(63077,9),(63078,8),(63079,9),(63080,2),(63081,6),(63082,7),(63083,1),(63084,4),(63085,3),(63086,6),(63087,4),(63088,1),(63089,1),(63090,5),(63091,5),(63092,1),(63093,3),(63094,4),(63095,2),(63096,1),(63097,8),(63098,6),(63099,1),(63100,4),(63101,2),(63102,1),(63103,1),(63104,5),(63105,3),(63106,3),(63107,1),(63108,6),(63109,8),(63110,3),(63111,4),(63112,1),(63113,9),(63114,6),(63115,8),(63116,9),(63117,8),(63118,6),(63119,4),(63120,2),(63121,9),(63122,7),(63123,8),(63124,5),(63125,2),(63126,4),(63127,3),(63128,2),(63129,2),(63130,3),(63131,6),(63132,5),(63133,6),(63134,9),(63135,2),(63136,6),(63137,6),(63138,5),(63139,2),(63140,2),(63141,7),(63142,1),(63143,5),(63144,5),(63145,3),(63146,3),(63147,5),(63148,5),(63149,9),(63150,3),(63151,6),(63152,5),(63153,1),(63154,7),(63155,1),(63156,7),(63157,1),(63158,4),(63159,1),(63160,9),(63161,5),(63162,1),(63163,5),(63164,9),(63165,9),(63166,7),(63167,5),(63168,3),(63169,2),(63170,6),(63171,9),(63172,4),(63173,3),(63174,3),(63175,1),(63176,8),(63177,8),(63178,9),(63179,4),(63180,7),(63181,4),(63182,5),(63183,6),(63184,8),(63185,4),(63186,2),(63187,5),(63188,5),(63189,6),(63190,2),(63191,8),(63192,8),(63193,7),(63194,5),(63195,7),(63196,7),(63197,6),(63198,6),(63199,3),(63200,8),(63201,6),(63202,7),(63203,1),(63204,9),(63205,9),(63206,2),(63207,1),(63208,3),(63209,8),(63210,7),(63211,9),(63212,6),(63213,7),(63214,1),(63215,8),(63216,5),(63217,1),(63218,3),(63219,8),(63220,7),(63221,1),(63222,9),(63223,9),(63224,6),(63225,9),(63226,8),(63227,9),(63228,4),(63229,5),(63230,3),(63231,9),(63232,3),(63233,7),(63234,6),(63235,7),(63236,9),(63237,6),(63238,5),(63239,3),(63240,2),(63241,4),(63242,2),(63243,2),(63244,4),(63245,7),(63246,5),(63247,1),(63248,9),(63249,4),(63250,6),(63251,7),(63252,2),(63253,6),(63254,8),(63255,6),(63256,7),(63257,3),(63258,5),(63259,3),(63260,4),(63261,1),(63262,5),(63263,7),(63264,5),(63265,3),(63266,8),(63267,4),(63268,5),(63269,8),(63270,8),(63271,1),(63272,2),(63273,8),(63274,9),(63275,7),(63276,8),(63277,5),(63278,2),(63279,9),(63280,7),(63281,1),(63282,7),(63283,3),(63284,9),(63285,7),(63286,5),(63287,1),(63288,7),(63289,4),(63290,8),(63291,8),(63292,7),(63293,2),(63294,9),(63295,7),(63296,4),(63297,8),(63298,6),(63299,2),(63300,4),(63301,2),(63302,8),(63303,6),(63304,1),(63305,2),(63306,3),(63307,9),(63308,4),(63309,7),(63310,9),(63311,3),(63312,4),(63313,9),(63314,8),(63315,4),(63316,7),(63317,9),(63318,9),(63319,8),(63320,5),(63321,7),(63322,4),(63323,7),(63324,6),(63325,8),(63326,4),(63327,7),(63328,8),(63329,3),(63330,5),(63331,3),(63332,2),(63333,4),(63334,7),(63335,8),(63336,4),(63337,5),(63338,9),(63339,3),(63340,7),(63341,2),(63342,8),(63343,5),(63344,2),(63345,4),(63346,9),(63347,2),(63348,5),(63349,3),(63350,1),(63351,3),(63352,2),(63353,6),(63354,5),(63355,4),(63356,9),(63357,9),(63358,2),(63359,1),(63360,2),(63361,6),(63362,6),(63363,9),(63364,5),(63365,4),(63366,3),(63367,5),(63368,6),(63369,8),(63370,5),(63371,2),(63372,7),(63373,7),(63374,1),(63375,1),(63376,1),(63377,3),(63378,6),(63379,5),(63380,4),(63381,2),(63382,2),(63383,9),(63384,5),(63385,6),(63386,8),(63387,4),(63388,4),(63389,5),(63390,3),(63391,9),(63392,2),(63393,1),(63394,9),(63395,5),(63396,7),(63397,2),(63398,1),(63399,6),(63400,3),(63401,6),(63402,1),(63403,1),(63404,3),(63405,7),(63406,6),(63407,2),(63408,4),(63409,2),(63410,5),(63411,9),(63412,7),(63413,1),(63414,5),(63415,7),(63416,8),(63417,4),(63418,7),(63419,7),(63420,2),(63421,4),(63422,2),(63423,6),(63424,9),(63425,8),(63426,9),(63427,9),(63428,6),(63429,7),(63430,8),(63431,6),(63432,2),(63433,7),(63434,1),(63435,1),(63436,7),(63437,9),(63438,7),(63439,7),(63440,5),(63441,4),(63442,4),(63443,2),(63444,4),(63445,2),(63446,5),(63447,5),(63448,4),(63449,7),(63450,1),(63451,5),(63452,6),(63453,5),(63454,5),(63455,5),(63456,4),(63457,7),(63458,1),(63459,1),(63460,8),(63461,3),(63462,6),(63463,4),(63464,9),(63465,4),(63466,4),(63467,6),(63468,9),(63469,2),(63470,3),(63471,7),(63472,1),(63473,8),(63474,3),(63475,9),(63476,7),(63477,2),(63478,5),(63479,5),(63480,6),(63481,9),(63482,5),(63483,1),(63484,3),(63485,6),(63486,2),(63487,9),(63488,3),(63489,2),(63490,6),(63491,2),(63492,5),(63493,4),(63494,7),(63495,5),(63496,4),(63497,5),(63498,7),(63499,8),(63500,3),(63501,9),(63502,3),(63503,6),(63504,3),(63505,3),(63506,8),(63507,8),(63508,9),(63509,5),(63510,5),(63511,4),(63512,4),(63513,8),(63514,5),(63515,5),(63516,8),(63517,9),(63518,9),(63519,7),(63520,9),(63521,8),(63522,4),(63523,6),(63524,5),(63525,9),(63526,1),(63527,4),(63528,6),(63529,7),(63530,1),(63531,3),(63532,3),(63533,5),(63534,5),(63535,7),(63536,3),(63537,9),(63538,7),(63539,4),(63540,8),(63541,1),(63542,2),(63543,1),(63544,2),(63545,3),(63546,3),(63547,9),(63548,7),(63549,4),(63550,2),(63551,1),(63552,5),(63553,8),(63554,4),(63555,2),(63556,1),(63557,8),(63558,7),(63559,7),(63560,1),(63561,8),(63562,2),(63563,4),(63564,6),(63565,4),(63566,7),(63567,4),(63568,5),(63569,4),(63570,6),(63571,8),(63572,7),(63573,8),(63574,7),(63575,4),(63576,3),(63577,9),(63578,8),(63579,1),(63580,3),(63581,4),(63582,4),(63583,7),(63584,9),(63585,5),(63586,4),(63587,8),(63588,8),(63589,2),(63590,5),(63591,2),(63592,1),(63593,8),(63594,3),(63595,4),(63596,2),(63597,1),(63598,8),(63599,1),(63600,9),(63601,1),(63602,1),(63603,5),(63604,3),(63605,7),(63606,2),(63607,5),(63608,9),(63609,2),(63610,3),(63611,7),(63612,7),(63613,7),(63614,9),(63615,1),(63616,2),(63617,4),(63618,8),(63619,6),(63620,4),(63621,7),(63622,8),(63623,4),(63624,8),(63625,4),(63626,5),(63627,1),(63628,6),(63629,5),(63630,8),(63631,7),(63632,6),(63633,4),(63634,2),(63635,9),(63636,9),(63637,9),(63638,3),(63639,8),(63640,9),(63641,3),(63642,5),(63643,6),(63644,7),(63645,3),(63646,2),(63647,2),(63648,7),(63649,3),(63650,1),(63651,4),(63652,7),(63653,6),(63654,6),(63655,9),(63656,6),(63657,3),(63658,3),(63659,8),(63660,7),(63661,8),(63662,3),(63663,3),(63664,5),(63665,2),(63666,2),(63667,9),(63668,1),(63669,3),(63670,5),(63671,5),(63672,9),(63673,4),(63674,6),(63675,1),(63676,5),(63677,7),(63678,7),(63679,1),(63680,3),(63681,3),(63682,7),(63683,2),(63684,7),(63685,7),(63686,8),(63687,9),(63688,2),(63689,6),(63690,5),(63691,6),(63692,7),(63693,7),(63694,5),(63695,6),(63696,8),(63697,6),(63698,4),(63699,1),(63700,3),(63701,9),(63702,2),(63703,6),(63704,5),(63705,2),(63706,4),(63707,5),(63708,8),(63709,4),(63710,4),(63711,7),(63712,3),(63713,9),(63714,3),(63715,5),(63716,9),(63717,6),(63718,1),(63719,7),(63720,2),(63721,6),(63722,3),(63723,8),(63724,9),(63725,1),(63726,2),(63727,6),(63728,6),(63729,4),(63730,5),(63731,8),(63732,2),(63733,7),(63734,6),(63735,3),(63736,5),(63737,7),(63738,7),(63739,1),(63740,5),(63741,4),(63742,7),(63743,9),(63744,6),(63745,7),(63746,1),(63747,7),(63748,2),(63749,2),(63750,6),(63751,1),(63752,2),(63753,7),(63754,7),(63755,2),(63756,8),(63757,5),(63758,6),(63759,8),(63760,2),(63761,4),(63762,7),(63763,2),(63764,8),(63765,6),(63766,8),(63767,7),(63768,3),(63769,1),(63770,9),(63771,7),(63772,9),(63773,6),(63774,9),(63775,1),(63776,4),(63777,7),(63778,6),(63779,3),(63780,7),(63781,9),(63782,7),(63783,2),(63784,7),(63785,3),(63786,8),(63787,7),(63788,8),(63789,2),(63790,6),(63791,6),(63792,7),(63793,1),(63794,9),(63795,3),(63796,1),(63797,7),(63798,5),(63799,5),(63800,8),(63801,9),(63802,2),(63803,3),(63804,5),(63805,8),(63806,3),(63807,5),(63808,7),(63809,4),(63810,4),(63811,6),(63812,9),(63813,1),(63814,7),(63815,8),(63816,9),(63817,3),(63818,9),(63819,9),(63820,5),(63821,4),(63822,9),(63823,4),(63824,1),(63825,9),(63826,4),(63827,3),(63828,4),(63829,8),(63830,6),(63831,6),(63832,9),(63833,3),(63834,4),(63835,5),(63836,6),(63837,9),(63838,7),(63839,4),(63840,6),(63841,9),(63842,8),(63843,5),(63844,4),(63845,2),(63846,1),(63847,9),(63848,7),(63849,6),(63850,7),(63851,8),(63852,7),(63853,7),(63854,7),(63855,4),(63856,5),(63857,6),(63858,9),(63859,7),(63860,2),(63861,3),(63862,6),(63863,3),(63864,7),(63865,1),(63866,6),(63867,7),(63868,5),(63869,4),(63870,2),(63871,4),(63872,7),(63873,5),(63874,3),(63875,6),(63876,3),(63877,1),(63878,4),(63879,2),(63880,4),(63881,6),(63882,9),(63883,6),(63884,2),(63885,3),(63886,2),(63887,3),(63888,2),(63889,7),(63890,4),(63891,9),(63892,3),(63893,9),(63894,9),(63895,8),(63896,3),(63897,9),(63898,8),(63899,8),(63900,7),(63901,4),(63902,8),(63903,3),(63904,2),(63905,7),(63906,3),(63907,5),(63908,4),(63909,5),(63910,5),(63911,5),(63912,2),(63913,3),(63914,2),(63915,2),(63916,3),(63917,1),(63918,3),(63919,4),(63920,2),(63921,8),(63922,1),(63923,1),(63924,2),(63925,7),(63926,4),(63927,5),(63928,2),(63929,5),(63930,8),(63931,9),(63932,7),(63933,3),(63934,4),(63935,4),(63936,6),(63937,3),(63938,3),(63939,5),(63940,3),(63941,6),(63942,6),(63943,6),(63944,5),(63945,3),(63946,2),(63947,6),(63948,4),(63949,7),(63950,8),(63951,3),(63952,4),(63953,6),(63954,2),(63955,5),(63956,3),(63957,4),(63958,9),(63959,3),(63960,5),(63961,9),(63962,7),(63963,1),(63964,6),(63965,8),(63966,4),(63967,1),(63968,7),(63969,5),(63970,7),(63971,4),(63972,7),(63973,4),(63974,7),(63975,5),(63976,2),(63977,8),(63978,8),(63979,2),(63980,1),(63981,1),(63982,5),(63983,8),(63984,8),(63985,3),(63986,1),(63987,3),(63988,1),(63989,7),(63990,7),(63991,3),(63992,6),(63993,7),(63994,5),(63995,2),(63996,6),(63997,8),(63998,1),(63999,6),(64000,9),(64001,6),(64002,1),(64003,5),(64004,8),(64005,5),(64006,2),(64007,4),(64008,9),(64009,8),(64010,1),(64011,2),(64012,7),(64013,3),(64014,2),(64015,9),(64016,2),(64017,2),(64018,9),(64019,7),(64020,7),(64021,6),(64022,3),(64023,4),(64024,2),(64025,6),(64026,9),(64027,7),(64028,8),(64029,4),(64030,9),(64031,5),(64032,6),(64033,8),(64034,6),(64035,9),(64036,4),(64037,8),(64038,4),(64039,9),(64040,9),(64041,7),(64042,3),(64043,7),(64044,8),(64045,4),(64046,7),(64047,7),(64048,2),(64049,1),(64050,2),(64051,6),(64052,8),(64053,3),(64054,7),(64055,7),(64056,7),(64057,9),(64058,2),(64059,4),(64060,6),(64061,2),(64062,4),(64063,8),(64064,6),(64065,5),(64066,8),(64067,3),(64068,1),(64069,2),(64070,4),(64071,2),(64072,1),(64073,2),(64074,2),(64075,7),(64076,4),(64077,1),(64078,9),(64079,5),(64080,6),(64081,2),(64082,8),(64083,2),(64084,2),(64085,1),(64086,2),(64087,6),(64088,2),(64089,4),(64090,2),(64091,7),(64092,9),(64093,3),(64094,5),(64095,4),(64096,7),(64097,7),(64098,6),(64099,6),(64100,2),(64101,7),(64102,6),(64103,2),(64104,4),(64105,6),(64106,9),(64107,8),(64108,1),(64109,4),(64110,9),(64111,7),(64112,1),(64113,6),(64114,6),(64115,5),(64116,8),(64117,4),(64118,8),(64119,3),(64120,1),(64121,3),(64122,2),(64123,7),(64124,1),(64125,5),(64126,3),(64127,4),(64128,8),(64129,6),(64130,3),(64131,8),(64132,2),(64133,6),(64134,1),(64135,6),(64136,5),(64137,8),(64138,1),(64139,5),(64140,2),(64141,4),(64142,2),(64143,7),(64144,6),(64145,2),(64146,2),(64147,5),(64148,5),(64149,2),(64150,6),(64151,7),(64152,8),(64153,7),(64154,8),(64155,4),(64156,5),(64157,7),(64158,4),(64159,7),(64160,7),(64161,2),(64162,3),(64163,6),(64164,9),(64165,2),(64166,5),(64167,9),(64168,8),(64169,4),(64170,5),(64171,2),(64172,7),(64173,2),(64174,6),(64175,9),(64176,8),(64177,4),(64178,8),(64179,5),(64180,5),(64181,6),(64182,6),(64183,2),(64184,9),(64185,9),(64186,1),(64187,7),(64188,4),(64189,1),(64190,5),(64191,6),(64192,9),(64193,4),(64194,7),(64195,7),(64196,7),(64197,4),(64198,8),(64199,1),(64200,8),(64201,8),(64202,6),(64203,3),(64204,3),(64205,1),(64206,1),(64207,1),(64208,6),(64209,2),(64210,6),(64211,6),(64212,3),(64213,7),(64214,5),(64215,5),(64216,8),(64217,7),(64218,7),(64219,2),(64220,1),(64221,6),(64222,5),(64223,1),(64224,4),(64225,6),(64226,9),(64227,4),(64228,4),(64229,3),(64230,2),(64231,5),(64232,2),(64233,3),(64234,8),(64235,1),(64236,7),(64237,2),(64238,5),(64239,4),(64240,9),(64241,1),(64242,5),(64243,1),(64244,6),(64245,9),(64246,4),(64247,6),(64248,4),(64249,1),(64250,2),(64251,9),(64252,3),(64253,7),(64254,9),(64255,6),(64256,4),(64257,2),(64258,2),(64259,8),(64260,8),(64261,6),(64262,3),(64263,8),(64264,1),(64265,5),(64266,4),(64267,5),(64268,1),(64269,7),(64270,5),(64271,2),(64272,9),(64273,7),(64274,2),(64275,8),(64276,5),(64277,7),(64278,5),(64279,7),(64280,8),(64281,7),(64282,1),(64283,7),(64284,3),(64285,2),(64286,9),(64287,1),(64288,2),(64289,6),(64290,1),(64291,5),(64292,6),(64293,4),(64294,6),(64295,5),(64296,6),(64297,9),(64298,2),(64299,9),(64300,2),(64301,2),(64302,2),(64303,1),(64304,1),(64305,8),(64306,8),(64307,1),(64308,8),(64309,9),(64310,5),(64311,7),(64312,8),(64313,6),(64314,9),(64315,5),(64316,6),(64317,2),(64318,9),(64319,3),(64320,9),(64321,5),(64322,6),(64323,4),(64324,9),(64325,1),(64326,7),(64327,3),(64328,6),(64329,5),(64330,8),(64331,4),(64332,9),(64333,1),(64334,7),(64335,5),(64336,2),(64337,1),(64338,5),(64339,4),(64340,3),(64341,6),(64342,4),(64343,2),(64344,6),(64345,9),(64346,9),(64347,4),(64348,2),(64349,3),(64350,4),(64351,9),(64352,4),(64353,7),(64354,3),(64355,5),(64356,3),(64357,1),(64358,6),(64359,9),(64360,8),(64361,7),(64362,2),(64363,2),(64364,7),(64365,6),(64366,4),(64367,9),(64368,7),(64369,4),(64370,7),(64371,9),(64372,8),(64373,2),(64374,7),(64375,8),(64376,7),(64377,4),(64378,7),(64379,6),(64380,1),(64381,2),(64382,6),(64383,9),(64384,9),(64385,6),(64386,7),(64387,5),(64388,9),(64389,5),(64390,7),(64391,9),(64392,5),(64393,3),(64394,9),(64395,8),(64396,7),(64397,5),(64398,5),(64399,9),(64400,6),(64401,5),(64402,8),(64403,4),(64404,8),(64405,1),(64406,1),(64407,3),(64408,4),(64409,3),(64410,1),(64411,6),(64412,9),(64413,5),(64414,4),(64415,4),(64416,6),(64417,3),(64418,2),(64419,7),(64420,8),(64421,1),(64422,8),(64423,2),(64424,3),(64425,1),(64426,4),(64427,4),(64428,6),(64429,1),(64430,6),(64431,7),(64432,8),(64433,6),(64434,5),(64435,7),(64436,6),(64437,6),(64438,3),(64439,9),(64440,8),(64441,5),(64442,3),(64443,9),(64444,2),(64445,3),(64446,3),(64447,9),(64448,4),(64449,4),(64450,5),(64451,6),(64452,5),(64453,9),(64454,2),(64455,8),(64456,7),(64457,7),(64458,8),(64459,4),(64460,5),(64461,2),(64462,2),(64463,9),(64464,1),(64465,7),(64466,5),(64467,1),(64468,9),(64469,8),(64470,5),(64471,6),(64472,1),(64473,6),(64474,4),(64475,5),(64476,7),(64477,8),(64478,3),(64479,7),(64480,9),(64481,8),(64482,3),(64483,7),(64484,4),(64485,2),(64486,4),(64487,3),(64488,6),(64489,6),(64490,4),(64491,8),(64492,3),(64493,6),(64494,6),(64495,2),(64496,1),(64497,3),(64498,4),(64499,5),(64500,3),(64501,5),(64502,6),(64503,2),(64504,6),(64505,7),(64506,1),(64507,2),(64508,2),(64509,5),(64510,1),(64511,2),(64512,7),(64513,1),(64514,2),(64515,7),(64516,7),(64517,4),(64518,2),(64519,3),(64520,7),(64521,4),(64522,2),(64523,1),(64524,6),(64525,2),(64526,4),(64527,1),(64528,8),(64529,3),(64530,8),(64531,8),(64532,8),(64533,6),(64534,6),(64535,9),(64536,2),(64537,9),(64538,5),(64539,5),(64540,2),(64541,6),(64542,1),(64543,6),(64544,7),(64545,7),(64546,2),(64547,9),(64548,2),(64549,7),(64550,9),(64551,1),(64552,8),(64553,9),(64554,8),(64555,2),(64556,1),(64557,6),(64558,3),(64559,4),(64560,7),(64561,2),(64562,1),(64563,5),(64564,1),(64565,7),(64566,3),(64567,6),(64568,9),(64569,6),(64570,6),(64571,7),(64572,3),(64573,2),(64574,6),(64575,6),(64576,6),(64577,8),(64578,8),(64579,3),(64580,4),(64581,8),(64582,4),(64583,7),(64584,1),(64585,4),(64586,6),(64587,8),(64588,4),(64589,6),(64590,4),(64591,9),(64592,1),(64593,7),(64594,7),(64595,8),(64596,3),(64597,3),(64598,7),(64599,8),(64600,2),(64601,7),(64602,6),(64603,3),(64604,7),(64605,4),(64606,9),(64607,5),(64608,3),(64609,3),(64610,3),(64611,2),(64612,8),(64613,8),(64614,8),(64615,2),(64616,1),(64617,8),(64618,6),(64619,5),(64620,7),(64621,9),(64622,6),(64623,6),(64624,8),(64625,4),(64626,1),(64627,5),(64628,2),(64629,8),(64630,8),(64631,6),(64632,5),(64633,6),(64634,6),(64635,8),(64636,7),(64637,2),(64638,2),(64639,2),(64640,2),(64641,1),(64642,1),(64643,8),(64644,5),(64645,7),(64646,3),(64647,2),(64648,9),(64649,1),(64650,3),(64651,5),(64652,8),(64653,5),(64654,2),(64655,5),(64656,9),(64657,4),(64658,7),(64659,1),(64660,7),(64661,8),(64662,4),(64663,4),(64664,3),(64665,4),(64666,5),(64667,7),(64668,9),(64669,6),(64670,7),(64671,9),(64672,6),(64673,3),(64674,1),(64675,6),(64676,5),(64677,4),(64678,6),(64679,2),(64680,2),(64681,3),(64682,3),(64683,3),(64684,6),(64685,9),(64686,3),(64687,6),(64688,2),(64689,2),(64690,4),(64691,3),(64692,4),(64693,6),(64694,1),(64695,6),(64696,4),(64697,2),(64698,4),(64699,9),(64700,2),(64701,7),(64702,1),(64703,1),(64704,6),(64705,5),(64706,2),(64707,4),(64708,7),(64709,3),(64710,2),(64711,8),(64712,4),(64713,1),(64714,7),(64715,5),(64716,3),(64717,7),(64718,4),(64719,7),(64720,4),(64721,6),(64722,4),(64723,1),(64724,3),(64725,7),(64726,7),(64727,1),(64728,2),(64729,5),(64730,3),(64731,2),(64732,7),(64733,1),(64734,7),(64735,3),(64736,2),(64737,9),(64738,4),(64739,6),(64740,5),(64741,5),(64742,5),(64743,4),(64744,4),(64745,1),(64746,3),(64747,3),(64748,8),(64749,6),(64750,4),(64751,2),(64752,3),(64753,5),(64754,8),(64755,8),(64756,2),(64757,3),(64758,1),(64759,6),(64760,4),(64761,4),(64762,9),(64763,9),(64764,4),(64765,9),(64766,1),(64767,8),(64768,4),(64769,3),(64770,2),(64771,7),(64772,2),(64773,9),(64774,7),(64775,9),(64776,6),(64777,5),(64778,7),(64779,5),(64780,7),(64781,4),(64782,2),(64783,9),(64784,1),(64785,6),(64786,8),(64787,9),(64788,8),(64789,2),(64790,2),(64791,4),(64792,1),(64793,2),(64794,4),(64795,3),(64796,5),(64797,8),(64798,4),(64799,7),(64800,9),(64801,1),(64802,8),(64803,9),(64804,5),(64805,1),(64806,4),(64807,6),(64808,4),(64809,1),(64810,4),(64811,6),(64812,6),(64813,1),(64814,6),(64815,8),(64816,8),(64817,7),(64818,5),(64819,2),(64820,2),(64821,7),(64822,2),(64823,2),(64824,4),(64825,1),(64826,2),(64827,2),(64828,5),(64829,2),(64830,8),(64831,6),(64832,1),(64833,3),(64834,9),(64835,1),(64836,9),(64837,8),(64838,9),(64839,4),(64840,6),(64841,5),(64842,8),(64843,3),(64844,2),(64845,2),(64846,3),(64847,5),(64848,7),(64849,3),(64850,4),(64851,7),(64852,4),(64853,7),(64854,9),(64855,9),(64856,3),(64857,8),(64858,7),(64859,4),(64860,4),(64861,8),(64862,3),(64863,4),(64864,7),(64865,6),(64866,1),(64867,4),(64868,9),(64869,4),(64870,7),(64871,5),(64872,6),(64873,7),(64874,9),(64875,6),(64876,2),(64877,3),(64878,6),(64879,5),(64880,7),(64881,7),(64882,1),(64883,7),(64884,9),(64885,7),(64886,9),(64887,1),(64888,6),(64889,2),(64890,9),(64891,4),(64892,3),(64893,2),(64894,4),(64895,9),(64896,2),(64897,2),(64898,2),(64899,4),(64900,5),(64901,1),(64902,6),(64903,3),(64904,3),(64905,6),(64906,1),(64907,4),(64908,1),(64909,8),(64910,2),(64911,9),(64912,7),(64913,5),(64914,1),(64915,8),(64916,7),(64917,7),(64918,5),(64919,9),(64920,6),(64921,3),(64922,6),(64923,5),(64924,2),(64925,1),(64926,2),(64927,1),(64928,1),(64929,8),(64930,4),(64931,6),(64932,8),(64933,8),(64934,6),(64935,6),(64936,9),(64937,4),(64938,2),(64939,8),(64940,7),(64941,1),(64942,2),(64943,4),(64944,7),(64945,3),(64946,6),(64947,4),(64948,5),(64949,5),(64950,8),(64951,8),(64952,4),(64953,8),(64954,9),(64955,1),(64956,8),(64957,3),(64958,2),(64959,2),(64960,7),(64961,9),(64962,7),(64963,6),(64964,8),(64965,2),(64966,7),(64967,7),(64968,6),(64969,1),(64970,2),(64971,6),(64972,4),(64973,1),(64974,7),(64975,2),(64976,5),(64977,8),(64978,4),(64979,7),(64980,7),(64981,2),(64982,7),(64983,5),(64984,2),(64985,9),(64986,8),(64987,2),(64988,7),(64989,3),(64990,8),(64991,9),(64992,8),(64993,1),(64994,4),(64995,1),(64996,7),(64997,4),(64998,8),(64999,8),(65000,3),(65001,5),(65002,3),(65003,1),(65004,8),(65005,3),(65006,3),(65007,4),(65008,6),(65009,5),(65010,4),(65011,3),(65012,9),(65013,9),(65014,9),(65015,6),(65016,3),(65017,6),(65018,8),(65019,9),(65020,6),(65021,5),(65022,3),(65023,6),(65024,3),(65025,3),(65026,8),(65027,3),(65028,6),(65029,5),(65030,6),(65031,8),(65032,2),(65033,2),(65034,5),(65035,5),(65036,2),(65037,6),(65038,8),(65039,1),(65040,9),(65041,4),(65042,5),(65043,8),(65044,1),(65045,9),(65046,2),(65047,4),(65048,4),(65049,7),(65050,2),(65051,1),(65052,2),(65053,2),(65054,8),(65055,6),(65056,5),(65057,2),(65058,6),(65059,7),(65060,3),(65061,6),(65062,2),(65063,1),(65064,1),(65065,5),(65066,2),(65067,4),(65068,5),(65069,1),(65070,2),(65071,6),(65072,9),(65073,1),(65074,8),(65075,9),(65076,4),(65077,7),(65078,6),(65079,8),(65080,2),(65081,7),(65082,4),(65083,3),(65084,9),(65085,4),(65086,3),(65087,2),(65088,2),(65089,7),(65090,2),(65091,4),(65092,8),(65093,4),(65094,7),(65095,2),(65096,7),(65097,3),(65098,6),(65099,4),(65100,3),(65101,5),(65102,8),(65103,1),(65104,8),(65105,3),(65106,8),(65107,2),(65108,9),(65109,8),(65110,1),(65111,2),(65112,7),(65113,8),(65114,1),(65115,8),(65116,3),(65117,5),(65118,4),(65119,3),(65120,1),(65121,4),(65122,4),(65123,9),(65124,4),(65125,4),(65126,1),(65127,7),(65128,4),(65129,8),(65130,2),(65131,3),(65132,4),(65133,3),(65134,8),(65135,8),(65136,8),(65137,7),(65138,7),(65139,7),(65140,9),(65141,6),(65142,6),(65143,1),(65144,3),(65145,1),(65146,3),(65147,1),(65148,3),(65149,7),(65150,2),(65151,9),(65152,6),(65153,5),(65154,8),(65155,1),(65156,5),(65157,8),(65158,7),(65159,1),(65160,8),(65161,1),(65162,7),(65163,4),(65164,7),(65165,9),(65166,8),(65167,1),(65168,7),(65169,3),(65170,5),(65171,7),(65172,6),(65173,3),(65174,7),(65175,6),(65176,2),(65177,5),(65178,6),(65179,9),(65180,7),(65181,4),(65182,4),(65183,6),(65184,6),(65185,5),(65186,4),(65187,9),(65188,1),(65189,1),(65190,5),(65191,7),(65192,9),(65193,3),(65194,4),(65195,3),(65196,3),(65197,4),(65198,3),(65199,7),(65200,7),(65201,5),(65202,2),(65203,1),(65204,6),(65205,6),(65206,5),(65207,5),(65208,9),(65209,4),(65210,9),(65211,8),(65212,4),(65213,2),(65214,4),(65215,5),(65216,2),(65217,4),(65218,7),(65219,8),(65220,3),(65221,5),(65222,7),(65223,8),(65224,2),(65225,4),(65226,8),(65227,6),(65228,9),(65229,6),(65230,8),(65231,5),(65232,6),(65233,1),(65234,4),(65235,3),(65236,6),(65237,8),(65238,7),(65239,1),(65240,9),(65241,6),(65242,2),(65243,9),(65244,2),(65245,6),(65246,3),(65247,3),(65248,1),(65249,1),(65250,6),(65251,6),(65252,1),(65253,7),(65254,6),(65255,7),(65256,1),(65257,5),(65258,7),(65259,1),(65260,1),(65261,2),(65262,2),(65263,2),(65264,1),(65265,2),(65266,6),(65267,5),(65268,7),(65269,9),(65270,6),(65271,7),(65272,6),(65273,9),(65274,2),(65275,2),(65276,7),(65277,1),(65278,7),(65279,8),(65280,3),(65281,1),(65282,6),(65283,5),(65284,1),(65285,8),(65286,4),(65287,6),(65288,5),(65289,3),(65290,4),(65291,8),(65292,3),(65293,8),(65294,4),(65295,5),(65296,2),(65297,9),(65298,4),(65299,2),(65300,7),(65301,8),(65302,8),(65303,3),(65304,5),(65305,1),(65306,9),(65307,6),(65308,8),(65309,9),(65310,8),(65311,9),(65312,7),(65313,6),(65314,3),(65315,8),(65316,9),(65317,3),(65318,9),(65319,4),(65320,6),(65321,9),(65322,4),(65323,6),(65324,6),(65325,7),(65326,9),(65327,4),(65328,8),(65329,5),(65330,5),(65331,6),(65332,4),(65333,1),(65334,5),(65335,8),(65336,8),(65337,8),(65338,8),(65339,4),(65340,5),(65341,1),(65342,2),(65343,9),(65344,9),(65345,5),(65346,1),(65347,5),(65348,5),(65349,2),(65350,2),(65351,4),(65352,1),(65353,7),(65354,9),(65355,2),(65356,5),(65357,8),(65358,6),(65359,7),(65360,1),(65361,7),(65362,5),(65363,1),(65364,5),(65365,1),(65366,2),(65367,5),(65368,4),(65369,7),(65370,5),(65371,6),(65372,6),(65373,1),(65374,6),(65375,2),(65376,4),(65377,9),(65378,1),(65379,9),(65380,4),(65381,1),(65382,9),(65383,4),(65384,5),(65385,8),(65386,5),(65387,7),(65388,7),(65389,1),(65390,5),(65391,4),(65392,9),(65393,8),(65394,9),(65395,5),(65396,7),(65397,8),(65398,3),(65399,1),(65400,6),(65401,1),(65402,7),(65403,4),(65404,3),(65405,7),(65406,4),(65407,5),(65408,9),(65409,4),(65410,2),(65411,7),(65412,4),(65413,8),(65414,2),(65415,2),(65416,4),(65417,7),(65418,1),(65419,5),(65420,3),(65421,8),(65422,9),(65423,8),(65424,3),(65425,5),(65426,5),(65427,7),(65428,2),(65429,4),(65430,4),(65431,1),(65432,2),(65433,9),(65434,6),(65435,4),(65436,3),(65437,8),(65438,5),(65439,7),(65440,4),(65441,3),(65442,5),(65443,2),(65444,7),(65445,9),(65446,6),(65447,8),(65448,1),(65449,8),(65450,8),(65451,2),(65452,4),(65453,3),(65454,7),(65455,7),(65456,1),(65457,3),(65458,2),(65459,9),(65460,7),(65461,5),(65462,1),(65463,4),(65464,9),(65465,6),(65466,9),(65467,8),(65468,1),(65469,4),(65470,2),(65471,2),(65472,6),(65473,7),(65474,2),(65475,8),(65476,8),(65477,1),(65478,3),(65479,3),(65480,2),(65481,1),(65482,2),(65483,6),(65484,3),(65485,2),(65486,4),(65487,6),(65488,2),(65489,5),(65490,7),(65491,9),(65492,9),(65493,6),(65494,9),(65495,9),(65496,9),(65497,8),(65498,9),(65499,6),(65500,9),(65501,5),(65502,6),(65503,4),(65504,1),(65505,1),(65506,9),(65507,5),(65508,6),(65509,3),(65510,6),(65511,8),(65512,8),(65513,3),(65514,4),(65515,4),(65516,2),(65517,8),(65518,4),(65519,1),(65520,1),(65521,2),(65522,6),(65523,2),(65524,4),(65525,6),(65526,4),(65527,5),(65528,9),(65529,3),(65530,3),(65531,8),(65532,4),(65533,8),(65534,8),(65535,3),(65536,4),(65537,2),(65538,3),(65539,1),(65540,7),(65541,8),(65542,7),(65543,2),(65544,7),(65545,6),(65546,8),(65547,9),(65548,3),(65549,2),(65550,6),(65551,5),(65552,1),(65553,9),(65554,4),(65555,6),(65556,4),(65557,3),(65558,3),(65559,1),(65560,1),(65561,7),(65562,8),(65563,6),(65564,8),(65565,7),(65566,1),(65567,9),(65568,6),(65569,6),(65570,9),(65571,9),(65572,4),(65573,1),(65574,3),(65575,9),(65576,3),(65577,3),(65578,9),(65579,2),(65580,2),(65581,6),(65582,1),(65583,6),(65584,9),(65585,5),(65586,6),(65587,7),(65588,5),(65589,5),(65590,5),(65591,3),(65592,7),(65593,6),(65594,1),(65595,5),(65596,9),(65597,1),(65598,5),(65599,4),(65600,4),(65601,2),(65602,8),(65603,2),(65604,1),(65605,3),(65606,1),(65607,7),(65608,7),(65609,6),(65610,4),(65611,1),(65612,2),(65613,9),(65614,3),(65615,5),(65616,1),(65617,6),(65618,2),(65619,8),(65620,7),(65621,3),(65622,4),(65623,9),(65624,7),(65625,3),(65626,2),(65627,5),(65628,4),(65629,6),(65630,5),(65631,7),(65632,9),(65633,8),(65634,9),(65635,3),(65636,2),(65637,1),(65638,6),(65639,9),(65640,2),(65641,5),(65642,7),(65643,3),(65644,8),(65645,4),(65646,4),(65647,6),(65648,7),(65649,7),(65650,2),(65651,4),(65652,2),(65653,3),(65654,5),(65655,4),(65656,2),(65657,1),(65658,4),(65659,2),(65660,7),(65661,1),(65662,8),(65663,5),(65664,3),(65665,6),(65666,1),(65667,4),(65668,3),(65669,3),(65670,9),(65671,3),(65672,5),(65673,8),(65674,9),(65675,7),(65676,6),(65677,5),(65678,3),(65679,6),(65680,3),(65681,1),(65682,4),(65683,4),(65684,3),(65685,4),(65686,1),(65687,6),(65688,8),(65689,4),(65690,2),(65691,3),(65692,4),(65693,5),(65694,6),(65695,5),(65696,6),(65697,5),(65698,2),(65699,1),(65700,9),(65701,4),(65702,5),(65703,8),(65704,9),(65705,6),(65706,4),(65707,9),(65708,6),(65709,4),(65710,8),(65711,2),(65712,2),(65713,6),(65714,2),(65715,9),(65716,7),(65717,7),(65718,2),(65719,7),(65720,5),(65721,5),(65722,2),(65723,4),(65724,7),(65725,2),(65726,2),(65727,7),(65728,8),(65729,7),(65730,8),(65731,9),(65732,1),(65733,6),(65734,7),(65735,5),(65736,3),(65737,1),(65738,4),(65739,6),(65740,8),(65741,7),(65742,7),(65743,7),(65744,5),(65745,1),(65746,9),(65747,8),(65748,6),(65749,8),(65750,6),(65751,2),(65752,9),(65753,3),(65754,7),(65755,4),(65756,7),(65757,3),(65758,9),(65759,6),(65760,9),(65761,6),(65762,2),(65763,7),(65764,1),(65765,9),(65766,9),(65767,5),(65768,2),(65769,1),(65770,4),(65771,9),(65772,6),(65773,3),(65774,4),(65775,1),(65776,9),(65777,2),(65778,1),(65779,1),(65780,7),(65781,9),(65782,5),(65783,6),(65784,6),(65785,3),(65786,5),(65787,6),(65788,9),(65789,1),(65790,4),(65791,1),(65792,2),(65793,7),(65794,2),(65795,4),(65796,2),(65797,3),(65798,7),(65799,4),(65800,9),(65801,2),(65802,5),(65803,5),(65804,4),(65805,7),(65806,7),(65807,8),(65808,2),(65809,9),(65810,6),(65811,7),(65812,5),(65813,9),(65814,9),(65815,3),(65816,9),(65817,5),(65818,3),(65819,7),(65820,7),(65821,6),(65822,3),(65823,9),(65824,5),(65825,5),(65826,2),(65827,7),(65828,4),(65829,3),(65830,7),(65831,5),(65832,6),(65833,8),(65834,8),(65835,8),(65836,9),(65837,9),(65838,4),(65839,7),(65840,5),(65841,1),(65842,1),(65843,9),(65844,7),(65845,5),(65846,5),(65847,8),(65848,3),(65849,3),(65850,1),(65851,2),(65852,9),(65853,7),(65854,9),(65855,5),(65856,9),(65857,6),(65858,7),(65859,6),(65860,3),(65861,5),(65862,9),(65863,7),(65864,1),(65865,2),(65866,8),(65867,1),(65868,2),(65869,5),(65870,7),(65871,6),(65872,1),(65873,2),(65874,7),(65875,9),(65876,6),(65877,4),(65878,5),(65879,7),(65880,7),(65881,2),(65882,4),(65883,5),(65884,6),(65885,3),(65886,5),(65887,6),(65888,2),(65889,6),(65890,2),(65891,6),(65892,1),(65893,5),(65894,5),(65895,3),(65896,9),(65897,3),(65898,4),(65899,4),(65900,4),(65901,3),(65902,6),(65903,6),(65904,8),(65905,6),(65906,4),(65907,5),(65908,1),(65909,4),(65910,9),(65911,8),(65912,5),(65913,4),(65914,5),(65915,8),(65916,8),(65917,9),(65918,5),(65919,1),(65920,6),(65921,8),(65922,8),(65923,3),(65924,9),(65925,3),(65926,7),(65927,1),(65928,5),(65929,8),(65930,4),(65931,6),(65932,6),(65933,9),(65934,2),(65935,1),(65936,9),(65937,9),(65938,5),(65939,9),(65940,7),(65941,4),(65942,9),(65943,5),(65944,3),(65945,2),(65946,1),(65947,2),(65948,3),(65949,9),(65950,6),(65951,2),(65952,5),(65953,3),(65954,2),(65955,7),(65956,4),(65957,6),(65958,4),(65959,7),(65960,2),(65961,6),(65962,6),(65963,3),(65964,7),(65965,7),(65966,1),(65967,5),(65968,2),(65969,6),(65970,9),(65971,3),(65972,7),(65973,4),(65974,4),(65975,1),(65976,8),(65977,3),(65978,7),(65979,1),(65980,9),(65981,3),(65982,9),(65983,5),(65984,7),(65985,8),(65986,8),(65987,5),(65988,4),(65989,3),(65990,8),(65991,8),(65992,6),(65993,6),(65994,1),(65995,8),(65996,6),(65997,5),(65998,3),(65999,8),(66000,1),(66001,5),(66002,5),(66003,8),(66004,7),(66005,2),(66006,9),(66007,5),(66008,6),(66009,6),(66010,9),(66011,5),(66012,2),(66013,2),(66014,6),(66015,5),(66016,5),(66017,8),(66018,3),(66019,7),(66020,9),(66021,8),(66022,8),(66023,1),(66024,1),(66025,5),(66026,1),(66027,5),(66028,1),(66029,3),(66030,6),(66031,1),(66032,3),(66033,8),(66034,1),(66035,4),(66036,7),(66037,2),(66038,4),(66039,4),(66040,3),(66041,6),(66042,5),(66043,8),(66044,1),(66045,9),(66046,5),(66047,6),(66048,3),(66049,3),(66050,4),(66051,6),(66052,2),(66053,6),(66054,7),(66055,2),(66056,8),(66057,3),(66058,3),(66059,5),(66060,4),(66061,6),(66062,2),(66063,1),(66064,4),(66065,1),(66066,3),(66067,4),(66068,9),(66069,7),(66070,5),(66071,7),(66072,4),(66073,1),(66074,5),(66075,3),(66076,1),(66077,6),(66078,9),(66079,1),(66080,2),(66081,1),(66082,9),(66083,5),(66084,1),(66085,4),(66086,2),(66087,4),(66088,8),(66089,2),(66090,6),(66091,4),(66092,8),(66093,5),(66094,3),(66095,5),(66096,3),(66097,3),(66098,2),(66099,9),(66100,5),(66101,2),(66102,6),(66103,8),(66104,8),(66105,7),(66106,3),(66107,3),(66108,3),(66109,8),(66110,5),(66111,4),(66112,1),(66113,5),(66114,2),(66115,3),(66116,5),(66117,9),(66118,4),(66119,6),(66120,3),(66121,2),(66122,3),(66123,3),(66124,9),(66125,3),(66126,8),(66127,8),(66128,1),(66129,3),(66130,8),(66131,9),(66132,9),(66133,9),(66134,2),(66135,6),(66136,8),(66137,3),(66138,6),(66139,2),(66140,4),(66141,7),(66142,7),(66143,9),(66144,6),(66145,6),(66146,5),(66147,8),(66148,5),(66149,9),(66150,9),(66151,4),(66152,2),(66153,4),(66154,1),(66155,6),(66156,1),(66157,7),(66158,9),(66159,6),(66160,4),(66161,2),(66162,1),(66163,3),(66164,3),(66165,7),(66166,7),(66167,9),(66168,9),(66169,5),(66170,7),(66171,1),(66172,6),(66173,3),(66174,2),(66175,7),(66176,3),(66177,3),(66178,7),(66179,5),(66180,2),(66181,9),(66182,3),(66183,6),(66184,1),(66185,9),(66186,7),(66187,3),(66188,3),(66189,5),(66190,3),(66191,2),(66192,9),(66193,8),(66194,7),(66195,9),(66196,3),(66197,5),(66198,2),(66199,3),(66200,1),(66201,4),(66202,7),(66203,6),(66204,3),(66205,8),(66206,3),(66207,9),(66208,1),(66209,3),(66210,6),(66211,3),(66212,9),(66213,4),(66214,6),(66215,3),(66216,6),(66217,5),(66218,3),(66219,7),(66220,6),(66221,1),(66222,8),(66223,7),(66224,1),(66225,4),(66226,8),(66227,6),(66228,2),(66229,4),(66230,4),(66231,3),(66232,5),(66233,7),(66234,3),(66235,1),(66236,9),(66237,2),(66238,7),(66239,9),(66240,4),(66241,7),(66242,6),(66243,7),(66244,6),(66245,5),(66246,1),(66247,4),(66248,2),(66249,9),(66250,4),(66251,5),(66252,5),(66253,9),(66254,2),(66255,9),(66256,5),(66257,5),(66258,5),(66259,7),(66260,9),(66261,5),(66262,4),(66263,2),(66264,3),(66265,7),(66266,8),(66267,7),(66268,2),(66269,1),(66270,9),(66271,6),(66272,5),(66273,7),(66274,5),(66275,6),(66276,6),(66277,4),(66278,2),(66279,7),(66280,2),(66281,8),(66282,9),(66283,6),(66284,1),(66285,2),(66286,4),(66287,8),(66288,3),(66289,6),(66290,8),(66291,1),(66292,5),(66293,6),(66294,4),(66295,6),(66296,4),(66297,1),(66298,8),(66299,9),(66300,3),(66301,4),(66302,8),(66303,4),(66304,7),(66305,7),(66306,1),(66307,5),(66308,5),(66309,1),(66310,3),(66311,4),(66312,1),(66313,5),(66314,1),(66315,4),(66316,9),(66317,3),(66318,6),(66319,7),(66320,6),(66321,7),(66322,7),(66323,6),(66324,1),(66325,9),(66326,1),(66327,6),(66328,4),(66329,4),(66330,2),(66331,6),(66332,8),(66333,8),(66334,2),(66335,3),(66336,6),(66337,7),(66338,7),(66339,9),(66340,7),(66341,4),(66342,8),(66343,7),(66344,3),(66345,7),(66346,3),(66347,6),(66348,3),(66349,7),(66350,1),(66351,1),(66352,5),(66353,1),(66354,1),(66355,1),(66356,4),(66357,4),(66358,5),(66359,5),(66360,8),(66361,9),(66362,9),(66363,5),(66364,4),(66365,2),(66366,6),(66367,7),(66368,7),(66369,7),(66370,2),(66371,4),(66372,6),(66373,9),(66374,4),(66375,5),(66376,8),(66377,1),(66378,5),(66379,1),(66380,9),(66381,6),(66382,5),(66383,2),(66384,6),(66385,5),(66386,4),(66387,6),(66388,2),(66389,6),(66390,8),(66391,1),(66392,3),(66393,2),(66394,2),(66395,1),(66396,3),(66397,5),(66398,1),(66399,9),(66400,7),(66401,5),(66402,8),(66403,3),(66404,1),(66405,2),(66406,7),(66407,9),(66408,5),(66409,8),(66410,1),(66411,2),(66412,1),(66413,2),(66414,8),(66415,8),(66416,5),(66417,7),(66418,3),(66419,7),(66420,1),(66421,1),(66422,8),(66423,9),(66424,6),(66425,6),(66426,1),(66427,6),(66428,7),(66429,4),(66430,7),(66431,8),(66432,8),(66433,4),(66434,8),(66435,6),(66436,8),(66437,9),(66438,2),(66439,9),(66440,7),(66441,3),(66442,4),(66443,1),(66444,7),(66445,4),(66446,2),(66447,2),(66448,1),(66449,5),(66450,1),(66451,5),(66452,8),(66453,8),(66454,3),(66455,5),(66456,9),(66457,7),(66458,7),(66459,6),(66460,2),(66461,9),(66462,7),(66463,5),(66464,2),(66465,1),(66466,2),(66467,3),(66468,4),(66469,7),(66470,5),(66471,2),(66472,6),(66473,1),(66474,3),(66475,2),(66476,3),(66477,4),(66478,6),(66479,9),(66480,4),(66481,1),(66482,3),(66483,1),(66484,2),(66485,6),(66486,4),(66487,7),(66488,3),(66489,8),(66490,3),(66491,5),(66492,9),(66493,2),(66494,4),(66495,2),(66496,8),(66497,7),(66498,2),(66499,1),(66500,8),(66501,3),(66502,8),(66503,3),(66504,2),(66505,2),(66506,4),(66507,2),(66508,8),(66509,9),(66510,3),(66511,3),(66512,4),(66513,9),(66514,1),(66515,4),(66516,8),(66517,1),(66518,7),(66519,7),(66520,3),(66521,3),(66522,6),(66523,3),(66524,9),(66525,5),(66526,7),(66527,3),(66528,2),(66529,9),(66530,3),(66531,1),(66532,7),(66533,7),(66534,4),(66535,5),(66536,4),(66537,3),(66538,8),(66539,7),(66540,3),(66541,9),(66542,8),(66543,1),(66544,8),(66545,2),(66546,7),(66547,8),(66548,1),(66549,3),(66550,6),(66551,7),(66552,9),(66553,3),(66554,9),(66555,3),(66556,9),(66557,3),(66558,9),(66559,4),(66560,8),(66561,2),(66562,7),(66563,9),(66564,6),(66565,2),(66566,4),(66567,6),(66568,6),(66569,3),(66570,7),(66571,9),(66572,3),(66573,6),(66574,4),(66575,1),(66576,3),(66577,5),(66578,8),(66579,2),(66580,5),(66581,6),(66582,3),(66583,9),(66584,1),(66585,7),(66586,5),(66587,6),(66588,4),(66589,9),(66590,5),(66591,8),(66592,5),(66593,5),(66594,7),(66595,2),(66596,7),(66597,6),(66598,1),(66599,9),(66600,7),(66601,6),(66602,5),(66603,1),(66604,8),(66605,7),(66606,2),(66607,5),(66608,8),(66609,7),(66610,8),(66611,5),(66612,3),(66613,3),(66614,6),(66615,2),(66616,2),(66617,8),(66618,8),(66619,2),(66620,6),(66621,2),(66622,6),(66623,9),(66624,6),(66625,5),(66626,6),(66627,8),(66628,5),(66629,5),(66630,2),(66631,2),(66632,4),(66633,9),(66634,2),(66635,2),(66636,3),(66637,5),(66638,1),(66639,6),(66640,1),(66641,9),(66642,3),(66643,5),(66644,6),(66645,7),(66646,4),(66647,8),(66648,8),(66649,6),(66650,1),(66651,9),(66652,4),(66653,2),(66654,4),(66655,5),(66656,4),(66657,6),(66658,7),(66659,2),(66660,3),(66661,8),(66662,2),(66663,3),(66664,1),(66665,1),(66666,4),(66667,7),(66668,6),(66669,2),(66670,3),(66671,8),(66672,7),(66673,2),(66674,9),(66675,1),(66676,6),(66677,5),(66678,3),(66679,3),(66680,8),(66681,9),(66682,1),(66683,1),(66684,3),(66685,5),(66686,3),(66687,8),(66688,8),(66689,3),(66690,8),(66691,3),(66692,4),(66693,9),(66694,5),(66695,8),(66696,7),(66697,7),(66698,2),(66699,7),(66700,3),(66701,4),(66702,9),(66703,7),(66704,1),(66705,2),(66706,3),(66707,1),(66708,1),(66709,6),(66710,7),(66711,2),(66712,3),(66713,8),(66714,2),(66715,7),(66716,5),(66717,9),(66718,3),(66719,8),(66720,5),(66721,9),(66722,8),(66723,7),(66724,4),(66725,2),(66726,7),(66727,6),(66728,5),(66729,1),(66730,8),(66731,1),(66732,6),(66733,5),(66734,9),(66735,7),(66736,9),(66737,5),(66738,6),(66739,5),(66740,5),(66741,1),(66742,6),(66743,3),(66744,9),(66745,6),(66746,5),(66747,4),(66748,8),(66749,9),(66750,1),(66751,7),(66752,4),(66753,2),(66754,7),(66755,4),(66756,8),(66757,4),(66758,7),(66759,9),(66760,9),(66761,9),(66762,5),(66763,4),(66764,1),(66765,8),(66766,7),(66767,7),(66768,3),(66769,3),(66770,1),(66771,3),(66772,9),(66773,9),(66774,9),(66775,2),(66776,4),(66777,2),(66778,6),(66779,6),(66780,9),(66781,8),(66782,5),(66783,1),(66784,6),(66785,4),(66786,3),(66787,7),(66788,6),(66789,4),(66790,8),(66791,1),(66792,9),(66793,7),(66794,2),(66795,6),(66796,2),(66797,5),(66798,4),(66799,2),(66800,2),(66801,9),(66802,4),(66803,4),(66804,9),(66805,8),(66806,3),(66807,7),(66808,3),(66809,4),(66810,1),(66811,9),(66812,9),(66813,4),(66814,3),(66815,6),(66816,7),(66817,1),(66818,2),(66819,7),(66820,9),(66821,1),(66822,4),(66823,4),(66824,1),(66825,9),(66826,7),(66827,2),(66828,4),(66829,5),(66830,8),(66831,5),(66832,8),(66833,8),(66834,4),(66835,3),(66836,4),(66837,7),(66838,1),(66839,2),(66840,6),(66841,4),(66842,3),(66843,6),(66844,6),(66845,4),(66846,9),(66847,4),(66848,2),(66849,8),(66850,6),(66851,7),(66852,6),(66853,4),(66854,8),(66855,3),(66856,9),(66857,5),(66858,8),(66859,6),(66860,5),(66861,2),(66862,6),(66863,8),(66864,3),(66865,7),(66866,7),(66867,4),(66868,3),(66869,3),(66870,2),(66871,9),(66872,6),(66873,9),(66874,5),(66875,7),(66876,3),(66877,8),(66878,6),(66879,9),(66880,6),(66881,8),(66882,3),(66883,5),(66884,2),(66885,5),(66886,7),(66887,6),(66888,6),(66889,9),(66890,1),(66891,4),(66892,7),(66893,1),(66894,1),(66895,1),(66896,4),(66897,2),(66898,7),(66899,4),(66900,8),(66901,6),(66902,8),(66903,6),(66904,4),(66905,3),(66906,7),(66907,5),(66908,1),(66909,6),(66910,3),(66911,3),(66912,1),(66913,4),(66914,7),(66915,1),(66916,9),(66917,5),(66918,9),(66919,2),(66920,1),(66921,4),(66922,5),(66923,9),(66924,7),(66925,6),(66926,8),(66927,4),(66928,1),(66929,6),(66930,2),(66931,2),(66932,1),(66933,8),(66934,6),(66935,6),(66936,6),(66937,5),(66938,6),(66939,1),(66940,2),(66941,5),(66942,9),(66943,3),(66944,4),(66945,9),(66946,4),(66947,4),(66948,7),(66949,8),(66950,4),(66951,8),(66952,5),(66953,8),(66954,8),(66955,3),(66956,6),(66957,4),(66958,3),(66959,1),(66960,1),(66961,1),(66962,4),(66963,4),(66964,4),(66965,5),(66966,3),(66967,5),(66968,8),(66969,6),(66970,9),(66971,2),(66972,1),(66973,6),(66974,1),(66975,9),(66976,2),(66977,7),(66978,9),(66979,9),(66980,2),(66981,4),(66982,2),(66983,1),(66984,1),(66985,4),(66986,8),(66987,2),(66988,2),(66989,8),(66990,3),(66991,8),(66992,7),(66993,2),(66994,2),(66995,1),(66996,5),(66997,6),(66998,5),(66999,6),(67000,3),(67001,1),(67002,1),(67003,2),(67004,8),(67005,6),(67006,5),(67007,7),(67008,5),(67009,5),(67010,3),(67011,6),(67012,4),(67013,7),(67014,7),(67015,8),(67016,1),(67017,2),(67018,8),(67019,6),(67020,2),(67021,7),(67022,1),(67023,4),(67024,4),(67025,3),(67026,9),(67027,4),(67028,6),(67029,9),(67030,4),(67031,1),(67032,9),(67033,4),(67034,5),(67035,6),(67036,8),(67037,9),(67038,1),(67039,3),(67040,1),(67041,7),(67042,3),(67043,5),(67044,4),(67045,8),(67046,4),(67047,9),(67048,6),(67049,9),(67050,4),(67051,4),(67052,4),(67053,9),(67054,9),(67055,8),(67056,1),(67057,5),(67058,5),(67059,4),(67060,6),(67061,7),(67062,8),(67063,6),(67064,7),(67065,5),(67066,4),(67067,3),(67068,5),(67069,9),(67070,9),(67071,8),(67072,7),(67073,2),(67074,4),(67075,4),(67076,5),(67077,6),(67078,8),(67079,8),(67080,5),(67081,6),(67082,3),(67083,1),(67084,1),(67085,8),(67086,2),(67087,1),(67088,1),(67089,3),(67090,1),(67091,1),(67092,6),(67093,6),(67094,9),(67095,9),(67096,9),(67097,5),(67098,6),(67099,8),(67100,6),(67101,3),(67102,2),(67103,4),(67104,2),(67105,9),(67106,2),(67107,9),(67108,2),(67109,7),(67110,4),(67111,5),(67112,8),(67113,3),(67114,3),(67115,4),(67116,2),(67117,7),(67118,6),(67119,1),(67120,9),(67121,9),(67122,3),(67123,1),(67124,3),(67125,6),(67126,4),(67127,4),(67128,9),(67129,1),(67130,3),(67131,5),(67132,2),(67133,7),(67134,6),(67135,4),(67136,6),(67137,3),(67138,8),(67139,6),(67140,9),(67141,2),(67142,6),(67143,3),(67144,6),(67145,7),(67146,9),(67147,9),(67148,1),(67149,1),(67150,6),(67151,8),(67152,5),(67153,2),(67154,8),(67155,1),(67156,9),(67157,3),(67158,9),(67159,6),(67160,6),(67161,9),(67162,9),(67163,5),(67164,7),(67165,5),(67166,6),(67167,9),(67168,3),(67169,4),(67170,8),(67171,1),(67172,1),(67173,1),(67174,2),(67175,2),(67176,1),(67177,2),(67178,2),(67179,9),(67180,6),(67181,8),(67182,4),(67183,8),(67184,6),(67185,8),(67186,4),(67187,8),(67188,2),(67189,5),(67190,9),(67191,2),(67192,4),(67193,2),(67194,2),(67195,1),(67196,7),(67197,5),(67198,8),(67199,7),(67200,2),(67201,8),(67202,7),(67203,2),(67204,4),(67205,7),(67206,3),(67207,5),(67208,8),(67209,7),(67210,4),(67211,9),(67212,3),(67213,2),(67214,1),(67215,7),(67216,7),(67217,4),(67218,6),(67219,8),(67220,8),(67221,1),(67222,6),(67223,3),(67224,9),(67225,4),(67226,2),(67227,5),(67228,9),(67229,9),(67230,6),(67231,3),(67232,8),(67233,7),(67234,9),(67235,8),(67236,7),(67237,6),(67238,1),(67239,4),(67240,9),(67241,7),(67242,9),(67243,5),(67244,9),(67245,6),(67246,2),(67247,1),(67248,8),(67249,3),(67250,5),(67251,7),(67252,8),(67253,4),(67254,8),(67255,3),(67256,1),(67257,4),(67258,3),(67259,9),(67260,4),(67261,4),(67262,4),(67263,2),(67264,4),(67265,8),(67266,8),(67267,8),(67268,8),(67269,5),(67270,4),(67271,4),(67272,4),(67273,6),(67274,2),(67275,8),(67276,5),(67277,9),(67278,3),(67279,2),(67280,2),(67281,5),(67282,6),(67283,2),(67284,8),(67285,3),(67286,2),(67287,6),(67288,5),(67289,7),(67290,7),(67291,1),(67292,1),(67293,1),(67294,6),(67295,7),(67296,7),(67297,6),(67298,5),(67299,1),(67300,6),(67301,7),(67302,3),(67303,1),(67304,5),(67305,4),(67306,4),(67307,2),(67308,1),(67309,8),(67310,5),(67311,4),(67312,8),(67313,7),(67314,1),(67315,6),(67316,7),(67317,6),(67318,1),(67319,7),(67320,9),(67321,4),(67322,1),(67323,3),(67324,7),(67325,1),(67326,3),(67327,3),(67328,2),(67329,5),(67330,7),(67331,2),(67332,3),(67333,4),(67334,6),(67335,9),(67336,6),(67337,7),(67338,7),(67339,8),(67340,4),(67341,9),(67342,8),(67343,4),(67344,4),(67345,4),(67346,5),(67347,7),(67348,8),(67349,4),(67350,3),(67351,9),(67352,9),(67353,7),(67354,6),(67355,2),(67356,6),(67357,7),(67358,3),(67359,5),(67360,7),(67361,6),(67362,6),(67363,9),(67364,3),(67365,5),(67366,4),(67367,3),(67368,4),(67369,6),(67370,7),(67371,5),(67372,3),(67373,9),(67374,4),(67375,1),(67376,6),(67377,6),(67378,2),(67379,3),(67380,8),(67381,5),(67382,8),(67383,2),(67384,7),(67385,4),(67386,4),(67387,8),(67388,7),(67389,1),(67390,7),(67391,4),(67392,5),(67393,6),(67394,9),(67395,8),(67396,2),(67397,7),(67398,7),(67399,8),(67400,7),(67401,7),(67402,6),(67403,1),(67404,8),(67405,8),(67406,9),(67407,2),(67408,2),(67409,7),(67410,4),(67411,5),(67412,8),(67413,5),(67414,9),(67415,2),(67416,4),(67417,2),(67418,3),(67419,9),(67420,4),(67421,4),(67422,5),(67423,2),(67424,1),(67425,1),(67426,5),(67427,7),(67428,6),(67429,6),(67430,5),(67431,6),(67432,1),(67433,1),(67434,6),(67435,1),(67436,5),(67437,9),(67438,6),(67439,4),(67440,4),(67441,6),(67442,1),(67443,6),(67444,8),(67445,7),(67446,6),(67447,8),(67448,7),(67449,1),(67450,2),(67451,6),(67452,2),(67453,8),(67454,7),(67455,7),(67456,9),(67457,7),(67458,5),(67459,9),(67460,1),(67461,5),(67462,3),(67463,3),(67464,9),(67465,6),(67466,6),(67467,5),(67468,5),(67469,2),(67470,9),(67471,4),(67472,2),(67473,5),(67474,2),(67475,9),(67476,5),(67477,2),(67478,8),(67479,3),(67480,3),(67481,3),(67482,9),(67483,4),(67484,9),(67485,7),(67486,7),(67487,8),(67488,3),(67489,2),(67490,8),(67491,2),(67492,2),(67493,2),(67494,5),(67495,3),(67496,8),(67497,1),(67498,1),(67499,5),(67500,1),(67501,7),(67502,1),(67503,6),(67504,9),(67505,1),(67506,9),(67507,7),(67508,6),(67509,7),(67510,3),(67511,3),(67512,3),(67513,9),(67514,1),(67515,4),(67516,7),(67517,7),(67518,1),(67519,9),(67520,9),(67521,2),(67522,1),(67523,5),(67524,9),(67525,3),(67526,1),(67527,8),(67528,3),(67529,9),(67530,2),(67531,6),(67532,8),(67533,8),(67534,8),(67535,7),(67536,4),(67537,8),(67538,8),(67539,5),(67540,7),(67541,1),(67542,5),(67543,6),(67544,2),(67545,4),(67546,6),(67547,3),(67548,1),(67549,8),(67550,2),(67551,5),(67552,8),(67553,6),(67554,4),(67555,5),(67556,4),(67557,6),(67558,6),(67559,6),(67560,7),(67561,3),(67562,8),(67563,8),(67564,5),(67565,4),(67566,1),(67567,5),(67568,1),(67569,6),(67570,5),(67571,2),(67572,3),(67573,3),(67574,1),(67575,2),(67576,6),(67577,4),(67578,6),(67579,3),(67580,2),(67581,6),(67582,4),(67583,5),(67584,5),(67585,2),(67586,5),(67587,6),(67588,5),(67589,4),(67590,8),(67591,7),(67592,6),(67593,8),(67594,6),(67595,3),(67596,4),(67597,6),(67598,6),(67599,5),(67600,3),(67601,8),(67602,2),(67603,4),(67604,9),(67605,6),(67606,1),(67607,7),(67608,5),(67609,2),(67610,4),(67611,9),(67612,1),(67613,3),(67614,4),(67615,3),(67616,9),(67617,3),(67618,4),(67619,4),(67620,5),(67621,5),(67622,2),(67623,3),(67624,9),(67625,9),(67626,4),(67627,8),(67628,2),(67629,9),(67630,1),(67631,8),(67632,1),(67633,1),(67634,6),(67635,6),(67636,9),(67637,1),(67638,8),(67639,1),(67640,4),(67641,1),(67642,9),(67643,9),(67644,1),(67645,5),(67646,6),(67647,2),(67648,1),(67649,6),(67650,4),(67651,9),(67652,3),(67653,8),(67654,4),(67655,1),(67656,1),(67657,2),(67658,5),(67659,4),(67660,9),(67661,6),(67662,6),(67663,5),(67664,7),(67665,7),(67666,3),(67667,2),(67668,1),(67669,3),(67670,9),(67671,5),(67672,8),(67673,8),(67674,5),(67675,2),(67676,5),(67677,4),(67678,3),(67679,2),(67680,4),(67681,7),(67682,7),(67683,3),(67684,4),(67685,4),(67686,3),(67687,9),(67688,7),(67689,6),(67690,1),(67691,7),(67692,9),(67693,9),(67694,2),(67695,2),(67696,4),(67697,1),(67698,5),(67699,9),(67700,7),(67701,4),(67702,3),(67703,7),(67704,3),(67705,7),(67706,3),(67707,4),(67708,1),(67709,3),(67710,1),(67711,3),(67712,6),(67713,8),(67714,8),(67715,9),(67716,3),(67717,4),(67718,1),(67719,8),(67720,3),(67721,9),(67722,2),(67723,3),(67724,6),(67725,9),(67726,1),(67727,4),(67728,9),(67729,7),(67730,4),(67731,4),(67732,4),(67733,3),(67734,1),(67735,3),(67736,5),(67737,9),(67738,2),(67739,3),(67740,3),(67741,3),(67742,2),(67743,1),(67744,6),(67745,8),(67746,1),(67747,2),(67748,3),(67749,1),(67750,6),(67751,3),(67752,2),(67753,3),(67754,9),(67755,4),(67756,7),(67757,4),(67758,3),(67759,1),(67760,8),(67761,3),(67762,2),(67763,8),(67764,1),(67765,3),(67766,2),(67767,2),(67768,2),(67769,9),(67770,7),(67771,6),(67772,8),(67773,4),(67774,2),(67775,8),(67776,3),(67777,8),(67778,3),(67779,9),(67780,2),(67781,3),(67782,1),(67783,7),(67784,4),(67785,8),(67786,5),(67787,6),(67788,9),(67789,5),(67790,7),(67791,9),(67792,6),(67793,8),(67794,4),(67795,2),(67796,8),(67797,3),(67798,6),(67799,1),(67800,5),(67801,5),(67802,9),(67803,4),(67804,7),(67805,9),(67806,3),(67807,2),(67808,6),(67809,2),(67810,5),(67811,5),(67812,2),(67813,5),(67814,6),(67815,3),(67816,1),(67817,6),(67818,7),(67819,2),(67820,9),(67821,2),(67822,6),(67823,7),(67824,8),(67825,2),(67826,7),(67827,3),(67828,1),(67829,3),(67830,6),(67831,3),(67832,8),(67833,1),(67834,9),(67835,7),(67836,9),(67837,6),(67838,3),(67839,9),(67840,7),(67841,9),(67842,9),(67843,6),(67844,7),(67845,1),(67846,8),(67847,9),(67848,6),(67849,6),(67850,7),(67851,4),(67852,2),(67853,5),(67854,8),(67855,1),(67856,1),(67857,8),(67858,6),(67859,4),(67860,9),(67861,9),(67862,8),(67863,7),(67864,8),(67865,1),(67866,7),(67867,6),(67868,7),(67869,3),(67870,6),(67871,7),(67872,6),(67873,7),(67874,3),(67875,2),(67876,9),(67877,1),(67878,3),(67879,5),(67880,2),(67881,2),(67882,5),(67883,4),(67884,4),(67885,7),(67886,9),(67887,4),(67888,6),(67889,6),(67890,5),(67891,9),(67892,6),(67893,8),(67894,9),(67895,3),(67896,3),(67897,5),(67898,5),(67899,7),(67900,8),(67901,1),(67902,7),(67903,3),(67904,8),(67905,1),(67906,2),(67907,3),(67908,9),(67909,9),(67910,7),(67911,4),(67912,6),(67913,4),(67914,3),(67915,7),(67916,9),(67917,3),(67918,2),(67919,7),(67920,3),(67921,5),(67922,2),(67923,2),(67924,1),(67925,6),(67926,1),(67927,7),(67928,8),(67929,8),(67930,6),(67931,7),(67932,1),(67933,5),(67934,1),(67935,1),(67936,9),(67937,4),(67938,5),(67939,6),(67940,3),(67941,2),(67942,1),(67943,7),(67944,2),(67945,8),(67946,5),(67947,8),(67948,5),(67949,3),(67950,1),(67951,2),(67952,6),(67953,3),(67954,4),(67955,5),(67956,1),(67957,5),(67958,6),(67959,8),(67960,4),(67961,8),(67962,4),(67963,3),(67964,2),(67965,1),(67966,5),(67967,9),(67968,8),(67969,6),(67970,6),(67971,8),(67972,8),(67973,1),(67974,6),(67975,6),(67976,2),(67977,1),(67978,7),(67979,3),(67980,5),(67981,2),(67982,3),(67983,7),(67984,1),(67985,3),(67986,1),(67987,5),(67988,8),(67989,7),(67990,6),(67991,3),(67992,7),(67993,6),(67994,7),(67995,1),(67996,3),(67997,3),(67998,2),(67999,4),(68000,1),(68001,2),(68002,3),(68003,2),(68004,2),(68005,2),(68006,4),(68007,7),(68008,6),(68009,8),(68010,8),(68011,4),(68012,9),(68013,1),(68014,2),(68015,3),(68016,3),(68017,7),(68018,1),(68019,3),(68020,4),(68021,8),(68022,3),(68023,6),(68024,2),(68025,7),(68026,2),(68027,6),(68028,4),(68029,6),(68030,7),(68031,7),(68032,2),(68033,5),(68034,7),(68035,5),(68036,7),(68037,4),(68038,7),(68039,5),(68040,4),(68041,1),(68042,6),(68043,7),(68044,2),(68045,1),(68046,7),(68047,3),(68048,1),(68049,4),(68050,3),(68051,2),(68052,9),(68053,7),(68054,7),(68055,6),(68056,6),(68057,5),(68058,4),(68059,3),(68060,4),(68061,9),(68062,8),(68063,9),(68064,9),(68065,7),(68066,2),(68067,3),(68068,2),(68069,8),(68070,6),(68071,3),(68072,9),(68073,1),(68074,7),(68075,8),(68076,7),(68077,7),(68078,8),(68079,3),(68080,5),(68081,2),(68082,7),(68083,8),(68084,4),(68085,5),(68086,4),(68087,9),(68088,1),(68089,8),(68090,5),(68091,3),(68092,3),(68093,9),(68094,5),(68095,6),(68096,7),(68097,4),(68098,6),(68099,8),(68100,5),(68101,9),(68102,2),(68103,9),(68104,6),(68105,3),(68106,6),(68107,8),(68108,6),(68109,6),(68110,7),(68111,3),(68112,5),(68113,7),(68114,5),(68115,3),(68116,4),(68117,6),(68118,2),(68119,6),(68120,9),(68121,3),(68122,5),(68123,8),(68124,3),(68125,5),(68126,5),(68127,9),(68128,5),(68129,7),(68130,2),(68131,9),(68132,7),(68133,1),(68134,1),(68135,3),(68136,5),(68137,7),(68138,4),(68139,1),(68140,7),(68141,9),(68142,6),(68143,2),(68144,9),(68145,2),(68146,7),(68147,7),(68148,7),(68149,6),(68150,1),(68151,3),(68152,8),(68153,5),(68154,2),(68155,7),(68156,8),(68157,2),(68158,3),(68159,1),(68160,4),(68161,3),(68162,6),(68163,6),(68164,2),(68165,8),(68166,9),(68167,3),(68168,7),(68169,7),(68170,4),(68171,8),(68172,1),(68173,5),(68174,3),(68175,2),(68176,8),(68177,7),(68178,2),(68179,3),(68180,2),(68181,4),(68182,3),(68183,9),(68184,2),(68185,3),(68186,1),(68187,9),(68188,5),(68189,7),(68190,8),(68191,8),(68192,2),(68193,1),(68194,5),(68195,2),(68196,5),(68197,4),(68198,3),(68199,1),(68200,3),(68201,4),(68202,5),(68203,7),(68204,4),(68205,9),(68206,7),(68207,8),(68208,6),(68209,6),(68210,8),(68211,6),(68212,3),(68213,9),(68214,6),(68215,6),(68216,3),(68217,1),(68218,7),(68219,4),(68220,3),(68221,1),(68222,3),(68223,1),(68224,1),(68225,5),(68226,7),(68227,3),(68228,7),(68229,8),(68230,3),(68231,6),(68232,1),(68233,2),(68234,1),(68235,5),(68236,8),(68237,6),(68238,2),(68239,9),(68240,8),(68241,9),(68242,7),(68243,7),(68244,5),(68245,5),(68246,5),(68247,3),(68248,5),(68249,2),(68250,8),(68251,8),(68252,2),(68253,1),(68254,5),(68255,8),(68256,6),(68257,2),(68258,4),(68259,2),(68260,2),(68261,6),(68262,3),(68263,7),(68264,7),(68265,1),(68266,9),(68267,3),(68268,6),(68269,7),(68270,6),(68271,7),(68272,6),(68273,4),(68274,8),(68275,2),(68276,4),(68277,5),(68278,9),(68279,5),(68280,6),(68281,6),(68282,1),(68283,5),(68284,9),(68285,1),(68286,5),(68287,4),(68288,5),(68289,3),(68290,5),(68291,4),(68292,2),(68293,1),(68294,2),(68295,1),(68296,1),(68297,7),(68298,3),(68299,6),(68300,3),(68301,5),(68302,6),(68303,7),(68304,3),(68305,6),(68306,7),(68307,3),(68308,5),(68309,6),(68310,9),(68311,3),(68312,6),(68313,9),(68314,6),(68315,8),(68316,4),(68317,6),(68318,1),(68319,1),(68320,6),(68321,5),(68322,6),(68323,4),(68324,7),(68325,7),(68326,8),(68327,7),(68328,7),(68329,6),(68330,7),(68331,7),(68332,3),(68333,2),(68334,4),(68335,6),(68336,7),(68337,5),(68338,3),(68339,2),(68340,6),(68341,9),(68342,4),(68343,1),(68344,1),(68345,5),(68346,5),(68347,2),(68348,1),(68349,9),(68350,5),(68351,6),(68352,3),(68353,8),(68354,6),(68355,9),(68356,5),(68357,3),(68358,3),(68359,8),(68360,7),(68361,1),(68362,3),(68363,7),(68364,7),(68365,8),(68366,1),(68367,4),(68368,6),(68369,1),(68370,3),(68371,1),(68372,7),(68373,1),(68374,9),(68375,6),(68376,7),(68377,3),(68378,2),(68379,6),(68380,9),(68381,1),(68382,9),(68383,8),(68384,1),(68385,8),(68386,7),(68387,5),(68388,3),(68389,8),(68390,4),(68391,4),(68392,4),(68393,6),(68394,1),(68395,7),(68396,2),(68397,9),(68398,2),(68399,5),(68400,2),(68401,3),(68402,1),(68403,3),(68404,1),(68405,8),(68406,4),(68407,9),(68408,2),(68409,7),(68410,3),(68411,1),(68412,1),(68413,1),(68414,2),(68415,9),(68416,6),(68417,4),(68418,2),(68419,4),(68420,8),(68421,2),(68422,6),(68423,9),(68424,3),(68425,4),(68426,1),(68427,9),(68428,9),(68429,1),(68430,2),(68431,6),(68432,8),(68433,1),(68434,4),(68435,1),(68436,8),(68437,3),(68438,7),(68439,2),(68440,4),(68441,3),(68442,4),(68443,6),(68444,7),(68445,9),(68446,1),(68447,5),(68448,3),(68449,3),(68450,8),(68451,1),(68452,1),(68453,6),(68454,9),(68455,3),(68456,8),(68457,9),(68458,2),(68459,7),(68460,8),(68461,2),(68462,6),(68463,6),(68464,2),(68465,1),(68466,4),(68467,3),(68468,2),(68469,3),(68470,8),(68471,2),(68472,3),(68473,5),(68474,6),(68475,6),(68476,8),(68477,3),(68478,1),(68479,5),(68480,1),(68481,7),(68482,1),(68483,7),(68484,3),(68485,8),(68486,8),(68487,2),(68488,6),(68489,1),(68490,6),(68491,7),(68492,5),(68493,5),(68494,1),(68495,4),(68496,6),(68497,2),(68498,6),(68499,9),(68500,8),(68501,8),(68502,1),(68503,1),(68504,8),(68505,9),(68506,5),(68507,1),(68508,6),(68509,2),(68510,5),(68511,4),(68512,8),(68513,8),(68514,9),(68515,8),(68516,5),(68517,8),(68518,5),(68519,8),(68520,9),(68521,7),(68522,8),(68523,2),(68524,4),(68525,2),(68526,4),(68527,6),(68528,4),(68529,1),(68530,3),(68531,3),(68532,1),(68533,4),(68534,8),(68535,5),(68536,7),(68537,2),(68538,8),(68539,5),(68540,2),(68541,6),(68542,2),(68543,7),(68544,9),(68545,1),(68546,3),(68547,2),(68548,8),(68549,2),(68550,1),(68551,6),(68552,2),(68553,8),(68554,7),(68555,9),(68556,8),(68557,6),(68558,3),(68559,8),(68560,2),(68561,4),(68562,5),(68563,6),(68564,5),(68565,5),(68566,2),(68567,6),(68568,3),(68569,9),(68570,4),(68571,6),(68572,6),(68573,9),(68574,2),(68575,4),(68576,6),(68577,8),(68578,2),(68579,3),(68580,3),(68581,1),(68582,1),(68583,1),(68584,2),(68585,3),(68586,4),(68587,5),(68588,4),(68589,8),(68590,6),(68591,2),(68592,2),(68593,6),(68594,9),(68595,6),(68596,2),(68597,4),(68598,7),(68599,7),(68600,9),(68601,5),(68602,7),(68603,7),(68604,7),(68605,5),(68606,5),(68607,2),(68608,7),(68609,2),(68610,3),(68611,6),(68612,7),(68613,6),(68614,5),(68615,1),(68616,1),(68617,7),(68618,7),(68619,7),(68620,5),(68621,6),(68622,1),(68623,5),(68624,2),(68625,5),(68626,3),(68627,6),(68628,9),(68629,5),(68630,9),(68631,9),(68632,2),(68633,8),(68634,5),(68635,2),(68636,9),(68637,3),(68638,6),(68639,3),(68640,2),(68641,7),(68642,6),(68643,3),(68644,7),(68645,3),(68646,3),(68647,9),(68648,8),(68649,5),(68650,9),(68651,6),(68652,8),(68653,8),(68654,8),(68655,7),(68656,3),(68657,8),(68658,2),(68659,1),(68660,9),(68661,7),(68662,4),(68663,8),(68664,7),(68665,9),(68666,3),(68667,9),(68668,2),(68669,7),(68670,1),(68671,3),(68672,5),(68673,7),(68674,9),(68675,6),(68676,1),(68677,1),(68678,9),(68679,7),(68680,9),(68681,9),(68682,6),(68683,6),(68684,2),(68685,9),(68686,6),(68687,3),(68688,6),(68689,6),(68690,6),(68691,5),(68692,7),(68693,3),(68694,4),(68695,2),(68696,7),(68697,6),(68698,3),(68699,7),(68700,2),(68701,6),(68702,8),(68703,6),(68704,5),(68705,2),(68706,9),(68707,5),(68708,5),(68709,3),(68710,7),(68711,2),(68712,2),(68713,2),(68714,4),(68715,5),(68716,2),(68717,7),(68718,8),(68719,9),(68720,1),(68721,2),(68722,8),(68723,8),(68724,9),(68725,8),(68726,5),(68727,9),(68728,3),(68729,1),(68730,2),(68731,1),(68732,9),(68733,1),(68734,7),(68735,6),(68736,1),(68737,5),(68738,5),(68739,5),(68740,3),(68741,1),(68742,8),(68743,2),(68744,2),(68745,4),(68746,7),(68747,3),(68748,8),(68749,7),(68750,1),(68751,3),(68752,2),(68753,8),(68754,2),(68755,2),(68756,7),(68757,8),(68758,5),(68759,5),(68760,1),(68761,5),(68762,3),(68763,8),(68764,6),(68765,3),(68766,9),(68767,2),(68768,5),(68769,5),(68770,9),(68771,8),(68772,9),(68773,4),(68774,2),(68775,8),(68776,5),(68777,7),(68778,9),(68779,3),(68780,2),(68781,1),(68782,5),(68783,9),(68784,6),(68785,4),(68786,4),(68787,1),(68788,1),(68789,3),(68790,5),(68791,7),(68792,8),(68793,9),(68794,9),(68795,9),(68796,9),(68797,2),(68798,5),(68799,4),(68800,4),(68801,1),(68802,6),(68803,6),(68804,1),(68805,1),(68806,3),(68807,4),(68808,5),(68809,9),(68810,7),(68811,7),(68812,2),(68813,8),(68814,1),(68815,9),(68816,7),(68817,1),(68818,1),(68819,2),(68820,4),(68821,1),(68822,8),(68823,1),(68824,5),(68825,1),(68826,6),(68827,2),(68828,2),(68829,6),(68830,5),(68831,3),(68832,6),(68833,5),(68834,8),(68835,6),(68836,4),(68837,7),(68838,9),(68839,9),(68840,2),(68841,4),(68842,7),(68843,1),(68844,1),(68845,8),(68846,8),(68847,6),(68848,3),(68849,1),(68850,6),(68851,9),(68852,9),(68853,5),(68854,3),(68855,8),(68856,1),(68857,4),(68858,5),(68859,7),(68860,8),(68861,4),(68862,3),(68863,9),(68864,8),(68865,2),(68866,7),(68867,6),(68868,7),(68869,4),(68870,2),(68871,8),(68872,2),(68873,4),(68874,8),(68875,8),(68876,8),(68877,4),(68878,9),(68879,5),(68880,1),(68881,4),(68882,7),(68883,1),(68884,1),(68885,4),(68886,8),(68887,4),(68888,5),(68889,9),(68890,6),(68891,4),(68892,7),(68893,7),(68894,9),(68895,7),(68896,6),(68897,5),(68898,9),(68899,3),(68900,8),(68901,5),(68902,9),(68903,6),(68904,1),(68905,6),(68906,6),(68907,3),(68908,9),(68909,2),(68910,8),(68911,2),(68912,6),(68913,4),(68914,5),(68915,2),(68916,6),(68917,6),(68918,3),(68919,8),(68920,1),(68921,7),(68922,7),(68923,5),(68924,4),(68925,9),(68926,7),(68927,2),(68928,3),(68929,6),(68930,1),(68931,8),(68932,2),(68933,5),(68934,9),(68935,1),(68936,6),(68937,1),(68938,7),(68939,9),(68940,7),(68941,3),(68942,1),(68943,2),(68944,3),(68945,7),(68946,5),(68947,3),(68948,8),(68949,9),(68950,8),(68951,8),(68952,7),(68953,3),(68954,6),(68955,3),(68956,6),(68957,5),(68958,4),(68959,2),(68960,6),(68961,2),(68962,2),(68963,4),(68964,1),(68965,8),(68966,6),(68967,6),(68968,3),(68969,9),(68970,5),(68971,5),(68972,3),(68973,4),(68974,2),(68975,2),(68976,1),(68977,5),(68978,7),(68979,7),(68980,6),(68981,5),(68982,9),(68983,1),(68984,7),(68985,2),(68986,4),(68987,7),(68988,1),(68989,3),(68990,8),(68991,5),(68992,7),(68993,5),(68994,3),(68995,5),(68996,4),(68997,3),(68998,8),(68999,7),(69000,6),(69001,2),(69002,6),(69003,3),(69004,5),(69005,3),(69006,1),(69007,9),(69008,4),(69009,7),(69010,3),(69011,2),(69012,7),(69013,5),(69014,3),(69015,3),(69016,4),(69017,3),(69018,6),(69019,6),(69020,5),(69021,9),(69022,5),(69023,6),(69024,3),(69025,5),(69026,7),(69027,8),(69028,6),(69029,3),(69030,6),(69031,9),(69032,9),(69033,8),(69034,9),(69035,1),(69036,4),(69037,6),(69038,5),(69039,2),(69040,5),(69041,1),(69042,5),(69043,6),(69044,2),(69045,3),(69046,7),(69047,2),(69048,3),(69049,6),(69050,7),(69051,6),(69052,5),(69053,2),(69054,5),(69055,6),(69056,6),(69057,4),(69058,7),(69059,8),(69060,6),(69061,5),(69062,9),(69063,2),(69064,7),(69065,4),(69066,7),(69067,6),(69068,4),(69069,3),(69070,4),(69071,2),(69072,8),(69073,8),(69074,8),(69075,6),(69076,9),(69077,9),(69078,8),(69079,4),(69080,6),(69081,9),(69082,8),(69083,7),(69084,7),(69085,4),(69086,3),(69087,1),(69088,2),(69089,3),(69090,5),(69091,6),(69092,5),(69093,7),(69094,3),(69095,1),(69096,7),(69097,1),(69098,4),(69099,5),(69100,5),(69101,9),(69102,9),(69103,1),(69104,7),(69105,9),(69106,4),(69107,6),(69108,5),(69109,3),(69110,2),(69111,4),(69112,1),(69113,2),(69114,7),(69115,1),(69116,2),(69117,8),(69118,4),(69119,6),(69120,1),(69121,4),(69122,7),(69123,8),(69124,5),(69125,1),(69126,5),(69127,7),(69128,5),(69129,1),(69130,2),(69131,3),(69132,4),(69133,2),(69134,9),(69135,3),(69136,6),(69137,5),(69138,1),(69139,1),(69140,7),(69141,7),(69142,4),(69143,4),(69144,1),(69145,7),(69146,8),(69147,2),(69148,9),(69149,9),(69150,2),(69151,4),(69152,6),(69153,5),(69154,5),(69155,6),(69156,3),(69157,6),(69158,3),(69159,6),(69160,1),(69161,9),(69162,6),(69163,9),(69164,8),(69165,5),(69166,2),(69167,4),(69168,2),(69169,9),(69170,4),(69171,8),(69172,9),(69173,5),(69174,6),(69175,2),(69176,3),(69177,8),(69178,1),(69179,6),(69180,9),(69181,4),(69182,8),(69183,2),(69184,1),(69185,1),(69186,8),(69187,4),(69188,1),(69189,3),(69190,4),(69191,6),(69192,4),(69193,3),(69194,4),(69195,1),(69196,6),(69197,6),(69198,9),(69199,4),(69200,4),(69201,2),(69202,9),(69203,5),(69204,2),(69205,1),(69206,7),(69207,7),(69208,6),(69209,5),(69210,7),(69211,2),(69212,8),(69213,9),(69214,4),(69215,6),(69216,8),(69217,9),(69218,4),(69219,8),(69220,1),(69221,9),(69222,2),(69223,3),(69224,8),(69225,9),(69226,3),(69227,2),(69228,9),(69229,2),(69230,8),(69231,9),(69232,7),(69233,3),(69234,4),(69235,6),(69236,5),(69237,1),(69238,2),(69239,9),(69240,4),(69241,6),(69242,3),(69243,9),(69244,7),(69245,2),(69246,9),(69247,2),(69248,3),(69249,8),(69250,6),(69251,5),(69252,5),(69253,7),(69254,9),(69255,4),(69256,5),(69257,5),(69258,6),(69259,3),(69260,2),(69261,8),(69262,5),(69263,9),(69264,5),(69265,3),(69266,1),(69267,6),(69268,9),(69269,9),(69270,8),(69271,9),(69272,7),(69273,6),(69274,8),(69275,8),(69276,8),(69277,2),(69278,3),(69279,1),(69280,9),(69281,2),(69282,6),(69283,3),(69284,8),(69285,9),(69286,5),(69287,6),(69288,2),(69289,5),(69290,3),(69291,1),(69292,4),(69293,3),(69294,8),(69295,6),(69296,9),(69297,9),(69298,1),(69299,1),(69300,6),(69301,2),(69302,2),(69303,1),(69304,9),(69305,6),(69306,9),(69307,2),(69308,1),(69309,7),(69310,3),(69311,9),(69312,5),(69313,1),(69314,6),(69315,4),(69316,3),(69317,3),(69318,1),(69319,5),(69320,1),(69321,9),(69322,7),(69323,7),(69324,8),(69325,1),(69326,5),(69327,3),(69328,6),(69329,1),(69330,4),(69331,8),(69332,8),(69333,6),(69334,9),(69335,3),(69336,3),(69337,4),(69338,6),(69339,5),(69340,1),(69341,1),(69342,6),(69343,9),(69344,4),(69345,4),(69346,1),(69347,6),(69348,1),(69349,3),(69350,6),(69351,8),(69352,9),(69353,6),(69354,1),(69355,7),(69356,3),(69357,3),(69358,1),(69359,7),(69360,6),(69361,2),(69362,6),(69363,9),(69364,6),(69365,4),(69366,5),(69367,5),(69368,5),(69369,4),(69370,1),(69371,8),(69372,1),(69373,7),(69374,2),(69375,9),(69376,9),(69377,5),(69378,8),(69379,3),(69380,7),(69381,7),(69382,1),(69383,5),(69384,1),(69385,4),(69386,6),(69387,9),(69388,4),(69389,1),(69390,6),(69391,5),(69392,5),(69393,8),(69394,6),(69395,6),(69396,5),(69397,2),(69398,5),(69399,1),(69400,6),(69401,3),(69402,2),(69403,4),(69404,4),(69405,4),(69406,7),(69407,8),(69408,7),(69409,3),(69410,2),(69411,2),(69412,9),(69413,8),(69414,4),(69415,2),(69416,3),(69417,1),(69418,1),(69419,4),(69420,1),(69421,6),(69422,7),(69423,6),(69424,2),(69425,3),(69426,6),(69427,1),(69428,2),(69429,9),(69430,2),(69431,5),(69432,7),(69433,5),(69434,7),(69435,7),(69436,8),(69437,8),(69438,6),(69439,7),(69440,7),(69441,2),(69442,4),(69443,6),(69444,2),(69445,4),(69446,2),(69447,4),(69448,5),(69449,2),(69450,6),(69451,3),(69452,3),(69453,6),(69454,9),(69455,9),(69456,7),(69457,8),(69458,1),(69459,6),(69460,7),(69461,8),(69462,4),(69463,2),(69464,8),(69465,2),(69466,3),(69467,1),(69468,6),(69469,6),(69470,2),(69471,8),(69472,7),(69473,7),(69474,1),(69475,1),(69476,6),(69477,5),(69478,2),(69479,5),(69480,7),(69481,1),(69482,5),(69483,1),(69484,4),(69485,6),(69486,5),(69487,5),(69488,9),(69489,5),(69490,7),(69491,5),(69492,4),(69493,8),(69494,5),(69495,8),(69496,1),(69497,8),(69498,8),(69499,1),(69500,9),(69501,7),(69502,3),(69503,6),(69504,5),(69505,9),(69506,4),(69507,8),(69508,2),(69509,3),(69510,4),(69511,5),(69512,5),(69513,8),(69514,3),(69515,3),(69516,9),(69517,8),(69518,3),(69519,3),(69520,8),(69521,8),(69522,9),(69523,2),(69524,6),(69525,7),(69526,1),(69527,4),(69528,2),(69529,7),(69530,2),(69531,2),(69532,9),(69533,6),(69534,6),(69535,9),(69536,8),(69537,6),(69538,4),(69539,9),(69540,9),(69541,4),(69542,1),(69543,5),(69544,8),(69545,1),(69546,8),(69547,1),(69548,1),(69549,2),(69550,1),(69551,4),(69552,6),(69553,5),(69554,4),(69555,5),(69556,8),(69557,7),(69558,9),(69559,6),(69560,5),(69561,9),(69562,5),(69563,9),(69564,4),(69565,9),(69566,4),(69567,6),(69568,6),(69569,1),(69570,1),(69571,2),(69572,6),(69573,5),(69574,7),(69575,5),(69576,6),(69577,6),(69578,1),(69579,7),(69580,3),(69581,1),(69582,2),(69583,2),(69584,2),(69585,3),(69586,2),(69587,3),(69588,8),(69589,5),(69590,6),(69591,9),(69592,8),(69593,7),(69594,4),(69595,3),(69596,1),(69597,5),(69598,4),(69599,9),(69600,9),(69601,8),(69602,3),(69603,1),(69604,2),(69605,4),(69606,8),(69607,4),(69608,5),(69609,6),(69610,7),(69611,6),(69612,6),(69613,6),(69614,1),(69615,5),(69616,7),(69617,7),(69618,8),(69619,7),(69620,6),(69621,4),(69622,2),(69623,4),(69624,4),(69625,7),(69626,4),(69627,3),(69628,1),(69629,5),(69630,9),(69631,1),(69632,9),(69633,4),(69634,5),(69635,3),(69636,9),(69637,1),(69638,3),(69639,3),(69640,2),(69641,9),(69642,8),(69643,4),(69644,6),(69645,9),(69646,7),(69647,9),(69648,1),(69649,8),(69650,6),(69651,8),(69652,7),(69653,6),(69654,3),(69655,1),(69656,4),(69657,7),(69658,7),(69659,7),(69660,7),(69661,4),(69662,5),(69663,1),(69664,3),(69665,2),(69666,6),(69667,6),(69668,3),(69669,3),(69670,5),(69671,2),(69672,5),(69673,6),(69674,4),(69675,4),(69676,5),(69677,9),(69678,6),(69679,2),(69680,7),(69681,2),(69682,5),(69683,8),(69684,9),(69685,5),(69686,9),(69687,1),(69688,7),(69689,7),(69690,3),(69691,8),(69692,5),(69693,4),(69694,3),(69695,4),(69696,4),(69697,4),(69698,1),(69699,7),(69700,8),(69701,9),(69702,3),(69703,4),(69704,3),(69705,5),(69706,1),(69707,4),(69708,6),(69709,6),(69710,5),(69711,1),(69712,8),(69713,5),(69714,2),(69715,3),(69716,6),(69717,6),(69718,8),(69719,9),(69720,6),(69721,8),(69722,6),(69723,1),(69724,1),(69725,9),(69726,3),(69727,6),(69728,9),(69729,7),(69730,1),(69731,3),(69732,3),(69733,3),(69734,4),(69735,1),(69736,1),(69737,7),(69738,6),(69739,6),(69740,5),(69741,4),(69742,5),(69743,9),(69744,3),(69745,4),(69746,4),(69747,7),(69748,1),(69749,4),(69750,3),(69751,3),(69752,1),(69753,2),(69754,3),(69755,2),(69756,6),(69757,8),(69758,9),(69759,6),(69760,1),(69761,5),(69762,2),(69763,6),(69764,3),(69765,8),(69766,4),(69767,7),(69768,6),(69769,4),(69770,3),(69771,3),(69772,7),(69773,8),(69774,1),(69775,3),(69776,8),(69777,6),(69778,3),(69779,3),(69780,2),(69781,5),(69782,5),(69783,6),(69784,6),(69785,9),(69786,6),(69787,6),(69788,3),(69789,1),(69790,1),(69791,4),(69792,6),(69793,3),(69794,8),(69795,1),(69796,8),(69797,8),(69798,5),(69799,3),(69800,8),(69801,8),(69802,8),(69803,7),(69804,1),(69805,9),(69806,1),(69807,5),(69808,6),(69809,4),(69810,2),(69811,8),(69812,1),(69813,5),(69814,6),(69815,4),(69816,6),(69817,5),(69818,9),(69819,9),(69820,9),(69821,9),(69822,9),(69823,3),(69824,4),(69825,8),(69826,2),(69827,9),(69828,6),(69829,7),(69830,3),(69831,6),(69832,5),(69833,9),(69834,2),(69835,8),(69836,3),(69837,1),(69838,1),(69839,2),(69840,7),(69841,8),(69842,3),(69843,6),(69844,9),(69845,6),(69846,2),(69847,7),(69848,3),(69849,2),(69850,6),(69851,2),(69852,6),(69853,9),(69854,5),(69855,9),(69856,2),(69857,8),(69858,9),(69859,1),(69860,7),(69861,6),(69862,8),(69863,6),(69864,1),(69865,2),(69866,2),(69867,4),(69868,6),(69869,1),(69870,8),(69871,6),(69872,2),(69873,2),(69874,8),(69875,8),(69876,2),(69877,4),(69878,2),(69879,4),(69880,8),(69881,4),(69882,1),(69883,2),(69884,6),(69885,4),(69886,2),(69887,8),(69888,9),(69889,6),(69890,2),(69891,7),(69892,6),(69893,2),(69894,4),(69895,6),(69896,2),(69897,5),(69898,7),(69899,8),(69900,9),(69901,5),(69902,5),(69903,3),(69904,5),(69905,9),(69906,1),(69907,1),(69908,2),(69909,3),(69910,3),(69911,5),(69912,7),(69913,3),(69914,6),(69915,7),(69916,8),(69917,2),(69918,8),(69919,9),(69920,8),(69921,4),(69922,5),(69923,7),(69924,1),(69925,9),(69926,9),(69927,2),(69928,2),(69929,6),(69930,7),(69931,9),(69932,4),(69933,1),(69934,4),(69935,7),(69936,9),(69937,5),(69938,9),(69939,6),(69940,1),(69941,1),(69942,1),(69943,2),(69944,8),(69945,6),(69946,9),(69947,2),(69948,8),(69949,4),(69950,7),(69951,5),(69952,7),(69953,1),(69954,3),(69955,3),(69956,1),(69957,7),(69958,7),(69959,4),(69960,8),(69961,6),(69962,6),(69963,4),(69964,5),(69965,9),(69966,1),(69967,5),(69968,6),(69969,5),(69970,4),(69971,6),(69972,4),(69973,2),(69974,3),(69975,6),(69976,1),(69977,6),(69978,9),(69979,6),(69980,5),(69981,3),(69982,8),(69983,7),(69984,1),(69985,9),(69986,3),(69987,6),(69988,7),(69989,8),(69990,3),(69991,7),(69992,1),(69993,1),(69994,4),(69995,8),(69996,5),(69997,6),(69998,8),(69999,9),(70000,7),(70001,2),(70002,9),(70003,8),(70004,1),(70005,8),(70006,6),(70007,7),(70008,8),(70009,4),(70010,7),(70011,1),(70012,9),(70013,9),(70014,2),(70015,5),(70016,2),(70017,3),(70018,3),(70019,5),(70020,9),(70021,9),(70022,6),(70023,6),(70024,4),(70025,6),(70026,2),(70027,9),(70028,3),(70029,8),(70030,7),(70031,3),(70032,9),(70033,3),(70034,7),(70035,9),(70036,5),(70037,4),(70038,3),(70039,4),(70040,7),(70041,3),(70042,8),(70043,1),(70044,5),(70045,5),(70046,8),(70047,7),(70048,3),(70049,2),(70050,7),(70051,7),(70052,6),(70053,6),(70054,8),(70055,2),(70056,2),(70057,6),(70058,4),(70059,3),(70060,3),(70061,1),(70062,5),(70063,9),(70064,2),(70065,8),(70066,7),(70067,5),(70068,5),(70069,5),(70070,6),(70071,6),(70072,1),(70073,5),(70074,6),(70075,6),(70076,6),(70077,7),(70078,5),(70079,9),(70080,8),(70081,9),(70082,4),(70083,8),(70084,7),(70085,6),(70086,8),(70087,2),(70088,5),(70089,2),(70090,8),(70091,4),(70092,6),(70093,6),(70094,8),(70095,6),(70096,8),(70097,5),(70098,4),(70099,2),(70100,7),(70101,3),(70102,3),(70103,7),(70104,6),(70105,6),(70106,5),(70107,2),(70108,3),(70109,5),(70110,5),(70111,3),(70112,6),(70113,8),(70114,1),(70115,3),(70116,9),(70117,3),(70118,8),(70119,3),(70120,8),(70121,5),(70122,6),(70123,5),(70124,9),(70125,8),(70126,1),(70127,5),(70128,7),(70129,7),(70130,3),(70131,1),(70132,9),(70133,3),(70134,3),(70135,3),(70136,4),(70137,9),(70138,6),(70139,4),(70140,1),(70141,3),(70142,4),(70143,3),(70144,9),(70145,4),(70146,2),(70147,6),(70148,3),(70149,5),(70150,5),(70151,3),(70152,1),(70153,6),(70154,2),(70155,9),(70156,1),(70157,5),(70158,7),(70159,2),(70160,5),(70161,5),(70162,2),(70163,3),(70164,2),(70165,8),(70166,2),(70167,6),(70168,1),(70169,4),(70170,8),(70171,2),(70172,7),(70173,7),(70174,8),(70175,1),(70176,5),(70177,3),(70178,6),(70179,1),(70180,8),(70181,3),(70182,3),(70183,3),(70184,1),(70185,9),(70186,7),(70187,2),(70188,9),(70189,9),(70190,7),(70191,3),(70192,5),(70193,9),(70194,1),(70195,8),(70196,8),(70197,8),(70198,1),(70199,2),(70200,9),(70201,8),(70202,1),(70203,3),(70204,2),(70205,7),(70206,8),(70207,6),(70208,5),(70209,5),(70210,4),(70211,7),(70212,1),(70213,2),(70214,9),(70215,1),(70216,8),(70217,3),(70218,8),(70219,6),(70220,7),(70221,7),(70222,8),(70223,8),(70224,1),(70225,2),(70226,2),(70227,2),(70228,4),(70229,2),(70230,3),(70231,1),(70232,1),(70233,9),(70234,9),(70235,1),(70236,9),(70237,2),(70238,5),(70239,2),(70240,8),(70241,2),(70242,4),(70243,3),(70244,4),(70245,8),(70246,9),(70247,3),(70248,7),(70249,9),(70250,8),(70251,8),(70252,3),(70253,1),(70254,6),(70255,9),(70256,3),(70257,9),(70258,9),(70259,1),(70260,2),(70261,2),(70262,9),(70263,3),(70264,3),(70265,8),(70266,3),(70267,2),(70268,9),(70269,8),(70270,4),(70271,2),(70272,5),(70273,2),(70274,7),(70275,9),(70276,1),(70277,7),(70278,4),(70279,7),(70280,7),(70281,4),(70282,6),(70283,2),(70284,1),(70285,1),(70286,4),(70287,3),(70288,4),(70289,1),(70290,3),(70291,3),(70292,8),(70293,5),(70294,2),(70295,5),(70296,9),(70297,6),(70298,3),(70299,9),(70300,1),(70301,2),(70302,3),(70303,3),(70304,1),(70305,9),(70306,4),(70307,6),(70308,8),(70309,5),(70310,7),(70311,3),(70312,9),(70313,5),(70314,3),(70315,9),(70316,4),(70317,5),(70318,1),(70319,2),(70320,9),(70321,9),(70322,5),(70323,6),(70324,4),(70325,9),(70326,8),(70327,7),(70328,3),(70329,3),(70330,7),(70331,7),(70332,9),(70333,5),(70334,4),(70335,9),(70336,3),(70337,8),(70338,3),(70339,2),(70340,4),(70341,6),(70342,2),(70343,9),(70344,2),(70345,5),(70346,3),(70347,9),(70348,8),(70349,6),(70350,3),(70351,9),(70352,4),(70353,2),(70354,4),(70355,8),(70356,1),(70357,8),(70358,9),(70359,6),(70360,2),(70361,2),(70362,5),(70363,4),(70364,2),(70365,3),(70366,8),(70367,2),(70368,3),(70369,8),(70370,9),(70371,3),(70372,5),(70373,4),(70374,8),(70375,8),(70376,7),(70377,7),(70378,2),(70379,6),(70380,9),(70381,1),(70382,4),(70383,7),(70384,4),(70385,9),(70386,3),(70387,8),(70388,2),(70389,2),(70390,1),(70391,3),(70392,3),(70393,5),(70394,7),(70395,4),(70396,1),(70397,8),(70398,5),(70399,7),(70400,4),(70401,2),(70402,8),(70403,6),(70404,7),(70405,9),(70406,2),(70407,1),(70408,4),(70409,1),(70410,4),(70411,5),(70412,4),(70413,8),(70414,2),(70415,9),(70416,1),(70417,7),(70418,7),(70419,3),(70420,2),(70421,4),(70422,9),(70423,3),(70424,9),(70425,9),(70426,4),(70427,8),(70428,5),(70429,1),(70430,9),(70431,4),(70432,4),(70433,1),(70434,1),(70435,2),(70436,2),(70437,4),(70438,1),(70439,9),(70440,2),(70441,1),(70442,6),(70443,6),(70444,9),(70445,8),(70446,5),(70447,1),(70448,2),(70449,2),(70450,6),(70451,7),(70452,4),(70453,1),(70454,4),(70455,5),(70456,6),(70457,4),(70458,3),(70459,6),(70460,4),(70461,4),(70462,6),(70463,3),(70464,7),(70465,2),(70466,7),(70467,2),(70468,5),(70469,2),(70470,5),(70471,1),(70472,4),(70473,6),(70474,4),(70475,1),(70476,5),(70477,4),(70478,1),(70479,2),(70480,1),(70481,8),(70482,6),(70483,3),(70484,1),(70485,5),(70486,9),(70487,7),(70488,3),(70489,7),(70490,7),(70491,8),(70492,2),(70493,6),(70494,9),(70495,3),(70496,2),(70497,6),(70498,9),(70499,2),(70500,8),(70501,6),(70502,2),(70503,4),(70504,8),(70505,5),(70506,8),(70507,5),(70508,7),(70509,4),(70510,5),(70511,8),(70512,6),(70513,7),(70514,5),(70515,9),(70516,1),(70517,6),(70518,1),(70519,2),(70520,5),(70521,5),(70522,5),(70523,3),(70524,6),(70525,3),(70526,8),(70527,8),(70528,7),(70529,4),(70530,2),(70531,2),(70532,7),(70533,9),(70534,4),(70535,6),(70536,9),(70537,2),(70538,4),(70539,3),(70540,3),(70541,8),(70542,1),(70543,6),(70544,4),(70545,4),(70546,7),(70547,6),(70548,2),(70549,3),(70550,2),(70551,7),(70552,9),(70553,3),(70554,9),(70555,4),(70556,6),(70557,4),(70558,4),(70559,9),(70560,8),(70561,5),(70562,1),(70563,5),(70564,6),(70565,8),(70566,1),(70567,7),(70568,6),(70569,1),(70570,6),(70571,3),(70572,4),(70573,4),(70574,7),(70575,7),(70576,2),(70577,2),(70578,7),(70579,5),(70580,4),(70581,7),(70582,6),(70583,8),(70584,2),(70585,2),(70586,1),(70587,7),(70588,9),(70589,1),(70590,9),(70591,9),(70592,5),(70593,4),(70594,2),(70595,6),(70596,1),(70597,9),(70598,6),(70599,8),(70600,5),(70601,7),(70602,9),(70603,4),(70604,3),(70605,3),(70606,2),(70607,2),(70608,5),(70609,2),(70610,2),(70611,7),(70612,1),(70613,3),(70614,5),(70615,5),(70616,1),(70617,7),(70618,8),(70619,8),(70620,2),(70621,4),(70622,4),(70623,1),(70624,5),(70625,5),(70626,2),(70627,4),(70628,4),(70629,2),(70630,2),(70631,9),(70632,3),(70633,2),(70634,2),(70635,1),(70636,6),(70637,6),(70638,2),(70639,3),(70640,8),(70641,7),(70642,8),(70643,3),(70644,2),(70645,3),(70646,1),(70647,8),(70648,4),(70649,1),(70650,8),(70651,3),(70652,9),(70653,8),(70654,2),(70655,8),(70656,3),(70657,7),(70658,1),(70659,7),(70660,8),(70661,5),(70662,1),(70663,6),(70664,6),(70665,8),(70666,2),(70667,9),(70668,7),(70669,9),(70670,2),(70671,7),(70672,7),(70673,1),(70674,9),(70675,3),(70676,3),(70677,5),(70678,7),(70679,9),(70680,9),(70681,9),(70682,8),(70683,7),(70684,9),(70685,3),(70686,8),(70687,6),(70688,4),(70689,5),(70690,8),(70691,5),(70692,4),(70693,4),(70694,6),(70695,5),(70696,3),(70697,2),(70698,7),(70699,6),(70700,6),(70701,3),(70702,4),(70703,4),(70704,6),(70705,1),(70706,8),(70707,8),(70708,4),(70709,3),(70710,3),(70711,4),(70712,2),(70713,6),(70714,5),(70715,4),(70716,6),(70717,7),(70718,3),(70719,4),(70720,8),(70721,7),(70722,5),(70723,8),(70724,3),(70725,3),(70726,6),(70727,7),(70728,8),(70729,1),(70730,7),(70731,1),(70732,8),(70733,5),(70734,9),(70735,7),(70736,7),(70737,3),(70738,5),(70739,3),(70740,5),(70741,5),(70742,7),(70743,1),(70744,5),(70745,2),(70746,1),(70747,5),(70748,6),(70749,7),(70750,5),(70751,8),(70752,4),(70753,4),(70754,1),(70755,1),(70756,8),(70757,2),(70758,3),(70759,4),(70760,9),(70761,3),(70762,3),(70763,1),(70764,7),(70765,2),(70766,6),(70767,4),(70768,3),(70769,9),(70770,8),(70771,8),(70772,4),(70773,9),(70774,7),(70775,6),(70776,4),(70777,9),(70778,3),(70779,6),(70780,3),(70781,8),(70782,9),(70783,9),(70784,7),(70785,4),(70786,3),(70787,9),(70788,9),(70789,4),(70790,3),(70791,2),(70792,1),(70793,3),(70794,3),(70795,1),(70796,5),(70797,4),(70798,4),(70799,8),(70800,2),(70801,8),(70802,7),(70803,5),(70804,9),(70805,1),(70806,2),(70807,9),(70808,4),(70809,3),(70810,7),(70811,2),(70812,6),(70813,4),(70814,6),(70815,5),(70816,6),(70817,4),(70818,6),(70819,8),(70820,8),(70821,1),(70822,6),(70823,5),(70824,1),(70825,9),(70826,5),(70827,4),(70828,8),(70829,6),(70830,3),(70831,7),(70832,7),(70833,9),(70834,3),(70835,4),(70836,4),(70837,3),(70838,7),(70839,9),(70840,2),(70841,5),(70842,3),(70843,8),(70844,8),(70845,2),(70846,7),(70847,7),(70848,1),(70849,4),(70850,6),(70851,5),(70852,8),(70853,8),(70854,8),(70855,9),(70856,4),(70857,9),(70858,7),(70859,2),(70860,5),(70861,9),(70862,2),(70863,2),(70864,4),(70865,2),(70866,1),(70867,1),(70868,8),(70869,4),(70870,3),(70871,7),(70872,5),(70873,3),(70874,1),(70875,9),(70876,6),(70877,1),(70878,5),(70879,2),(70880,6),(70881,7),(70882,7),(70883,1),(70884,9),(70885,8),(70886,4),(70887,1),(70888,4),(70889,7),(70890,3),(70891,8),(70892,4),(70893,9),(70894,7),(70895,6),(70896,3),(70897,2),(70898,4),(70899,1),(70900,8),(70901,1),(70902,2),(70903,8),(70904,2),(70905,3),(70906,9),(70907,3),(70908,7),(70909,3),(70910,4),(70911,4),(70912,4),(70913,8),(70914,3),(70915,6),(70916,5),(70917,9),(70918,3),(70919,2),(70920,3),(70921,6),(70922,1),(70923,3),(70924,1),(70925,5),(70926,6),(70927,9),(70928,6),(70929,4),(70930,4),(70931,5),(70932,6),(70933,3),(70934,2),(70935,6),(70936,1),(70937,6),(70938,4),(70939,1),(70940,7),(70941,5),(70942,9),(70943,1),(70944,3),(70945,2),(70946,6),(70947,2),(70948,7),(70949,2),(70950,5),(70951,1),(70952,4),(70953,2),(70954,9),(70955,1),(70956,2),(70957,7),(70958,9),(70959,5),(70960,4),(70961,8),(70962,8),(70963,3),(70964,1),(70965,4),(70966,9),(70967,6),(70968,5),(70969,4),(70970,4),(70971,4),(70972,3),(70973,8),(70974,9),(70975,8),(70976,4),(70977,5),(70978,6),(70979,7),(70980,5),(70981,7),(70982,6),(70983,2),(70984,7),(70985,7),(70986,4),(70987,3),(70988,4),(70989,2),(70990,2),(70991,3),(70992,1),(70993,9),(70994,4),(70995,3),(70996,6),(70997,7),(70998,3),(70999,9),(71000,7),(71001,7),(71002,5),(71003,6),(71004,6),(71005,8),(71006,6),(71007,5),(71008,8),(71009,1),(71010,8),(71011,9),(71012,4),(71013,1),(71014,1),(71015,5),(71016,5),(71017,3),(71018,2),(71019,4),(71020,8),(71021,8),(71022,3),(71023,3),(71024,4),(71025,5),(71026,1),(71027,5),(71028,4),(71029,1),(71030,9),(71031,1),(71032,7),(71033,1),(71034,4),(71035,5),(71036,9),(71037,9),(71038,7),(71039,8),(71040,9),(71041,3),(71042,8),(71043,4),(71044,1),(71045,1),(71046,1),(71047,2),(71048,5),(71049,9),(71050,5),(71051,4),(71052,6),(71053,3),(71054,8),(71055,8),(71056,9),(71057,9),(71058,3),(71059,5),(71060,1),(71061,4),(71062,2),(71063,9),(71064,7),(71065,7),(71066,4),(71067,5),(71068,5),(71069,1),(71070,2),(71071,6),(71072,3),(71073,2),(71074,1),(71075,3),(71076,6),(71077,4),(71078,9),(71079,6),(71080,7),(71081,2),(71082,1),(71083,3),(71084,2),(71085,4),(71086,1),(71087,3),(71088,9),(71089,9),(71090,8),(71091,9),(71092,3),(71093,3),(71094,9),(71095,5),(71096,2),(71097,6),(71098,1),(71099,5),(71100,9),(71101,8),(71102,2),(71103,6),(71104,7),(71105,6),(71106,5),(71107,7),(71108,5),(71109,3),(71110,3),(71111,9),(71112,8),(71113,9),(71114,4),(71115,1),(71116,1),(71117,4),(71118,4),(71119,9),(71120,1),(71121,1),(71122,6),(71123,8),(71124,2),(71125,5),(71126,7),(71127,5),(71128,6),(71129,8),(71130,9),(71131,1),(71132,3),(71133,2),(71134,9),(71135,7),(71136,8),(71137,9),(71138,8),(71139,5),(71140,8),(71141,5),(71142,1),(71143,7),(71144,3),(71145,1),(71146,7),(71147,8),(71148,7),(71149,4),(71150,9),(71151,5),(71152,4),(71153,6),(71154,9),(71155,3),(71156,7),(71157,4),(71158,3),(71159,6),(71160,7),(71161,7),(71162,3),(71163,6),(71164,5),(71165,2),(71166,9),(71167,5),(71168,7),(71169,1),(71170,4),(71171,7),(71172,9),(71173,6),(71174,9),(71175,6),(71176,4),(71177,4),(71178,5),(71179,3),(71180,2),(71181,1),(71182,4),(71183,3),(71184,4),(71185,2),(71186,4),(71187,9),(71188,6),(71189,6),(71190,6),(71191,2),(71192,5),(71193,8),(71194,4),(71195,7),(71196,3),(71197,1),(71198,8),(71199,9),(71200,1),(71201,9),(71202,5),(71203,8),(71204,2),(71205,1),(71206,8),(71207,8),(71208,7),(71209,6),(71210,9),(71211,1),(71212,9),(71213,4),(71214,4),(71215,1),(71216,7),(71217,3),(71218,1),(71219,2),(71220,5),(71221,6),(71222,6),(71223,3),(71224,2),(71225,9),(71226,2),(71227,4),(71228,1),(71229,3),(71230,7),(71231,2),(71232,3),(71233,4),(71234,4),(71235,8),(71236,2),(71237,7),(71238,2),(71239,8),(71240,6),(71241,4),(71242,1),(71243,5),(71244,9),(71245,8),(71246,3),(71247,4),(71248,9),(71249,3),(71250,2),(71251,4),(71252,1),(71253,7),(71254,2),(71255,3),(71256,8),(71257,8),(71258,6),(71259,1),(71260,9),(71261,5),(71262,8),(71263,7),(71264,1),(71265,5),(71266,4),(71267,5),(71268,8),(71269,9),(71270,3),(71271,7),(71272,9),(71273,3),(71274,2),(71275,6),(71276,2),(71277,7),(71278,3),(71279,5),(71280,9),(71281,4),(71282,4),(71283,3),(71284,6),(71285,7),(71286,5),(71287,6),(71288,1),(71289,2),(71290,8),(71291,9),(71292,2),(71293,3),(71294,9),(71295,9),(71296,5),(71297,5),(71298,2),(71299,8),(71300,4),(71301,2),(71302,8),(71303,1),(71304,8),(71305,9),(71306,3),(71307,5),(71308,9),(71309,6),(71310,7),(71311,1),(71312,3),(71313,2),(71314,8),(71315,9),(71316,6),(71317,9),(71318,6),(71319,7),(71320,5),(71321,3),(71322,6),(71323,7),(71324,3),(71325,6),(71326,8),(71327,6),(71328,2),(71329,7),(71330,1),(71331,3),(71332,3),(71333,4),(71334,4),(71335,5),(71336,2),(71337,6),(71338,7),(71339,7),(71340,5),(71341,3),(71342,4),(71343,5),(71344,1),(71345,5),(71346,8),(71347,5),(71348,2),(71349,9),(71350,5),(71351,5),(71352,3),(71353,2),(71354,3),(71355,6),(71356,5),(71357,9),(71358,8),(71359,3),(71360,3),(71361,5),(71362,3),(71363,8),(71364,1),(71365,4),(71366,1),(71367,4),(71368,7),(71369,8),(71370,7),(71371,9),(71372,8),(71373,4),(71374,8),(71375,3),(71376,4),(71377,1),(71378,6),(71379,1),(71380,8),(71381,7),(71382,1),(71383,3),(71384,4),(71385,2),(71386,1),(71387,3),(71388,7),(71389,9),(71390,1),(71391,9),(71392,4),(71393,4),(71394,6),(71395,8),(71396,2),(71397,9),(71398,3),(71399,2),(71400,2),(71401,8),(71402,2),(71403,7),(71404,7),(71405,5),(71406,9),(71407,9),(71408,2),(71409,6),(71410,8),(71411,8),(71412,9),(71413,5),(71414,4),(71415,7),(71416,1),(71417,5),(71418,6),(71419,9),(71420,8),(71421,6),(71422,7),(71423,5),(71424,9),(71425,5),(71426,5),(71427,6),(71428,2),(71429,1),(71430,2),(71431,6),(71432,1),(71433,1),(71434,1),(71435,3),(71436,5),(71437,7),(71438,6),(71439,6),(71440,2),(71441,7),(71442,1),(71443,1),(71444,1),(71445,6),(71446,7),(71447,7),(71448,7),(71449,2),(71450,8),(71451,8),(71452,6),(71453,6),(71454,8),(71455,1),(71456,2),(71457,1),(71458,8),(71459,8),(71460,9),(71461,1),(71462,1),(71463,6),(71464,2),(71465,5),(71466,1),(71467,2),(71468,7),(71469,4),(71470,3),(71471,8),(71472,4),(71473,6),(71474,5),(71475,3),(71476,3),(71477,6),(71478,3),(71479,3),(71480,1),(71481,3),(71482,6),(71483,9),(71484,1),(71485,9),(71486,5),(71487,1),(71488,6),(71489,7),(71490,8),(71491,2),(71492,3),(71493,1),(71494,4),(71495,3),(71496,6),(71497,9),(71498,3),(71499,2),(71500,2),(71501,7),(71502,7),(71503,2),(71504,2),(71505,9),(71506,1),(71507,8),(71508,4),(71509,4),(71510,9),(71511,1),(71512,5),(71513,9),(71514,7),(71515,5),(71516,1),(71517,8),(71518,7),(71519,8),(71520,3),(71521,7),(71522,4),(71523,7),(71524,2),(71525,9),(71526,6),(71527,7),(71528,6),(71529,3),(71530,7),(71531,4),(71532,6),(71533,5),(71534,4),(71535,5),(71536,5),(71537,7),(71538,3),(71539,3),(71540,3),(71541,9),(71542,6),(71543,8),(71544,1),(71545,7),(71546,9),(71547,9),(71548,1),(71549,7),(71550,2),(71551,9),(71552,5),(71553,7),(71554,5),(71555,5),(71556,6),(71557,1),(71558,8),(71559,1),(71560,5),(71561,6),(71562,4),(71563,2),(71564,6),(71565,5),(71566,4),(71567,8),(71568,4),(71569,5),(71570,7),(71571,3),(71572,1),(71573,8),(71574,1),(71575,9),(71576,8),(71577,8),(71578,1),(71579,2),(71580,7),(71581,5),(71582,8),(71583,3),(71584,7),(71585,8),(71586,2),(71587,7),(71588,3),(71589,8),(71590,3),(71591,5),(71592,2),(71593,8),(71594,8),(71595,6),(71596,4),(71597,7),(71598,3),(71599,1),(71600,8),(71601,5),(71602,5),(71603,1),(71604,7),(71605,5),(71606,6),(71607,4),(71608,4),(71609,3),(71610,6),(71611,9),(71612,4),(71613,4),(71614,1),(71615,2),(71616,4),(71617,9),(71618,5),(71619,3),(71620,5),(71621,3),(71622,9),(71623,2),(71624,1),(71625,2),(71626,2),(71627,1),(71628,9),(71629,4),(71630,7),(71631,1),(71632,2),(71633,2),(71634,3),(71635,2),(71636,5),(71637,5),(71638,2),(71639,4),(71640,1),(71641,9),(71642,7),(71643,3),(71644,9),(71645,1),(71646,6),(71647,1),(71648,7),(71649,1),(71650,6),(71651,8),(71652,2),(71653,4),(71654,6),(71655,8),(71656,9),(71657,2),(71658,2),(71659,2),(71660,4),(71661,3),(71662,6),(71663,1),(71664,1),(71665,7),(71666,7),(71667,7),(71668,2),(71669,2),(71670,7),(71671,9),(71672,8),(71673,2),(71674,1),(71675,6),(71676,8),(71677,6),(71678,7),(71679,7),(71680,8),(71681,3),(71682,6),(71683,7),(71684,6),(71685,5),(71686,8),(71687,6),(71688,5),(71689,6),(71690,6),(71691,3),(71692,6),(71693,9),(71694,4),(71695,7),(71696,8),(71697,2),(71698,4),(71699,4),(71700,6),(71701,6),(71702,9),(71703,9),(71704,5),(71705,3),(71706,3),(71707,4),(71708,5),(71709,6),(71710,4),(71711,5),(71712,5),(71713,2),(71714,3),(71715,6),(71716,2),(71717,8),(71718,2),(71719,1),(71720,7),(71721,9),(71722,7),(71723,9),(71724,6),(71725,9),(71726,5),(71727,5),(71728,5),(71729,9),(71730,8),(71731,7),(71732,1),(71733,7),(71734,5),(71735,9),(71736,3),(71737,1),(71738,6),(71739,8),(71740,7),(71741,5),(71742,5),(71743,2),(71744,6),(71745,7),(71746,3),(71747,9),(71748,2),(71749,1),(71750,8),(71751,6),(71752,4),(71753,5),(71754,9),(71755,9),(71756,2),(71757,7),(71758,1),(71759,9),(71760,6),(71761,6),(71762,3),(71763,1),(71764,1),(71765,5),(71766,2),(71767,4),(71768,9),(71769,9),(71770,9),(71771,6),(71772,5),(71773,6),(71774,3),(71775,5),(71776,8),(71777,9),(71778,8),(71779,2),(71780,6),(71781,1),(71782,2),(71783,1),(71784,9),(71785,5),(71786,4),(71787,6),(71788,8),(71789,6),(71790,6),(71791,8),(71792,7),(71793,8),(71794,7),(71795,8),(71796,8),(71797,7),(71798,7),(71799,4),(71800,7),(71801,7),(71802,1),(71803,3),(71804,1),(71805,4),(71806,6),(71807,3),(71808,3),(71809,7),(71810,9),(71811,2),(71812,1),(71813,6),(71814,4),(71815,5),(71816,3),(71817,3),(71818,1),(71819,5),(71820,9),(71821,9),(71822,5),(71823,5),(71824,2),(71825,5),(71826,1),(71827,2),(71828,4),(71829,9),(71830,4),(71831,2),(71832,5),(71833,1),(71834,6),(71835,8),(71836,5),(71837,2),(71838,6),(71839,2),(71840,5),(71841,4),(71842,4),(71843,3),(71844,1),(71845,8),(71846,6),(71847,5),(71848,7),(71849,7),(71850,2),(71851,1),(71852,4),(71853,3),(71854,6),(71855,9),(71856,2),(71857,8),(71858,8),(71859,8),(71860,7),(71861,1),(71862,6),(71863,6),(71864,6),(71865,7),(71866,5),(71867,8),(71868,8),(71869,1),(71870,2),(71871,1),(71872,5),(71873,9),(71874,9),(71875,1),(71876,1),(71877,3),(71878,5),(71879,9),(71880,1),(71881,3),(71882,6),(71883,4),(71884,4),(71885,8),(71886,2),(71887,9),(71888,6),(71889,6),(71890,3),(71891,5),(71892,8),(71893,3),(71894,6),(71895,8),(71896,7),(71897,5),(71898,4),(71899,8),(71900,9),(71901,5),(71902,6),(71903,1),(71904,7),(71905,3),(71906,4),(71907,1),(71908,1),(71909,9),(71910,5),(71911,8),(71912,9),(71913,1),(71914,2),(71915,4),(71916,9),(71917,7),(71918,7),(71919,2),(71920,9),(71921,5),(71922,2),(71923,3),(71924,3),(71925,9),(71926,5),(71927,6),(71928,6),(71929,2),(71930,2),(71931,8),(71932,4),(71933,5),(71934,8),(71935,3),(71936,6),(71937,2),(71938,5),(71939,6),(71940,5),(71941,4),(71942,5),(71943,9),(71944,4),(71945,1),(71946,5),(71947,1),(71948,7),(71949,6),(71950,8),(71951,1),(71952,7),(71953,1),(71954,1),(71955,4),(71956,8),(71957,1),(71958,1),(71959,6),(71960,9),(71961,4),(71962,4),(71963,4),(71964,3),(71965,1),(71966,7),(71967,3),(71968,4),(71969,1),(71970,8),(71971,3),(71972,6),(71973,4),(71974,6),(71975,7),(71976,6),(71977,7),(71978,4),(71979,3),(71980,5),(71981,6),(71982,1),(71983,9),(71984,6),(71985,4),(71986,6),(71987,2),(71988,7),(71989,7),(71990,3),(71991,4),(71992,2),(71993,8),(71994,9),(71995,8),(71996,7),(71997,5),(71998,7),(71999,6),(72000,2),(72001,4),(72002,7),(72003,1),(72004,2),(72005,7),(72006,5),(72007,7),(72008,9),(72009,8),(72010,7),(72011,1),(72012,3),(72013,7),(72014,2),(72015,6),(72016,3),(72017,4),(72018,3),(72019,1),(72020,3),(72021,2),(72022,6),(72023,3),(72024,5),(72025,7),(72026,8),(72027,3),(72028,1),(72029,8),(72030,5),(72031,5),(72032,2),(72033,5),(72034,3),(72035,6),(72036,4),(72037,6),(72038,5),(72039,2),(72040,4),(72041,2),(72042,2),(72043,6),(72044,8),(72045,1),(72046,1),(72047,6),(72048,3),(72049,5),(72050,5),(72051,5),(72052,8),(72053,1),(72054,9),(72055,4),(72056,3),(72057,6),(72058,9),(72059,1),(72060,5),(72061,6),(72062,9),(72063,1),(72064,2),(72065,1),(72066,6),(72067,2),(72068,4),(72069,1),(72070,9),(72071,4),(72072,5),(72073,3),(72074,4),(72075,1),(72076,1),(72077,7),(72078,6),(72079,3),(72080,6),(72081,1),(72082,7),(72083,5),(72084,9),(72085,6),(72086,9),(72087,6),(72088,7),(72089,7),(72090,3),(72091,1),(72092,3),(72093,8),(72094,3),(72095,8),(72096,5),(72097,1),(72098,8),(72099,7),(72100,3),(72101,4),(72102,2),(72103,7),(72104,8),(72105,6),(72106,4),(72107,4),(72108,9),(72109,3),(72110,5),(72111,6),(72112,4),(72113,7),(72114,3),(72115,8),(72116,8),(72117,7),(72118,9),(72119,9),(72120,4),(72121,5),(72122,7),(72123,9),(72124,2),(72125,3),(72126,4),(72127,4),(72128,7),(72129,7),(72130,6),(72131,4),(72132,2),(72133,8),(72134,3),(72135,3),(72136,2),(72137,7),(72138,2),(72139,7),(72140,4),(72141,8),(72142,4),(72143,7),(72144,5),(72145,2),(72146,8),(72147,2),(72148,1),(72149,7),(72150,2),(72151,9),(72152,4),(72153,2),(72154,7),(72155,8),(72156,9),(72157,9),(72158,7),(72159,6),(72160,6),(72161,3),(72162,8),(72163,2),(72164,7),(72165,8),(72166,2),(72167,8),(72168,1),(72169,1),(72170,1),(72171,5),(72172,9),(72173,2),(72174,4),(72175,8),(72176,5),(72177,6),(72178,2),(72179,3),(72180,3),(72181,2),(72182,9),(72183,5),(72184,9),(72185,7),(72186,5),(72187,3),(72188,8),(72189,6),(72190,2),(72191,8),(72192,3),(72193,1),(72194,9),(72195,9),(72196,6),(72197,6),(72198,5),(72199,7),(72200,9),(72201,1),(72202,4),(72203,9),(72204,9),(72205,4),(72206,3),(72207,2),(72208,1),(72209,4),(72210,2),(72211,6),(72212,7),(72213,2),(72214,7),(72215,7),(72216,1),(72217,1),(72218,4),(72219,7),(72220,1),(72221,8),(72222,6),(72223,7),(72224,2),(72225,4),(72226,9),(72227,4),(72228,7),(72229,7),(72230,7),(72231,4),(72232,7),(72233,1),(72234,1),(72235,2),(72236,5),(72237,3),(72238,6),(72239,9),(72240,6),(72241,7),(72242,4),(72243,6),(72244,7),(72245,1),(72246,1),(72247,4),(72248,8),(72249,5),(72250,4),(72251,8),(72252,6),(72253,2),(72254,5),(72255,4),(72256,1),(72257,3),(72258,3),(72259,4),(72260,1),(72261,1),(72262,7),(72263,8),(72264,5),(72265,3),(72266,1),(72267,5),(72268,2),(72269,8),(72270,1),(72271,4),(72272,4),(72273,9),(72274,8),(72275,9),(72276,2),(72277,4),(72278,1),(72279,9),(72280,5),(72281,5),(72282,3),(72283,9),(72284,6),(72285,5),(72286,3),(72287,6),(72288,5),(72289,8),(72290,6),(72291,1),(72292,3),(72293,2),(72294,4),(72295,5),(72296,1),(72297,4),(72298,4),(72299,2),(72300,9),(72301,2),(72302,9),(72303,9),(72304,2),(72305,4),(72306,5),(72307,8),(72308,3),(72309,6),(72310,8),(72311,2),(72312,6),(72313,5),(72314,4),(72315,6),(72316,3),(72317,8),(72318,2),(72319,8),(72320,6),(72321,3),(72322,5),(72323,1),(72324,1),(72325,1),(72326,7),(72327,1),(72328,2),(72329,3),(72330,6),(72331,7),(72332,7),(72333,1),(72334,8),(72335,7),(72336,9),(72337,6),(72338,7),(72339,1),(72340,5),(72341,1),(72342,3),(72343,3),(72344,1),(72345,8),(72346,1),(72347,5),(72348,5),(72349,2),(72350,4),(72351,7),(72352,6),(72353,1),(72354,6),(72355,9),(72356,2),(72357,9),(72358,2),(72359,9),(72360,7),(72361,8),(72362,4),(72363,1),(72364,1),(72365,3),(72366,6),(72367,8),(72368,6),(72369,6),(72370,4),(72371,8),(72372,6),(72373,1),(72374,7),(72375,8),(72376,7),(72377,4),(72378,2),(72379,9),(72380,1),(72381,3),(72382,5),(72383,5),(72384,5),(72385,9),(72386,7),(72387,9),(72388,6),(72389,5),(72390,9),(72391,5),(72392,3),(72393,9),(72394,5),(72395,6),(72396,8),(72397,8),(72398,9),(72399,3),(72400,6),(72401,3),(72402,4),(72403,8),(72404,7),(72405,9),(72406,6),(72407,1),(72408,4),(72409,9),(72410,9),(72411,7),(72412,1),(72413,7),(72414,7),(72415,9),(72416,7),(72417,3),(72418,8),(72419,3),(72420,4),(72421,7),(72422,9),(72423,1),(72424,4),(72425,6),(72426,2),(72427,6),(72428,9),(72429,9),(72430,3),(72431,2),(72432,4),(72433,8),(72434,9),(72435,2),(72436,4),(72437,5),(72438,9),(72439,1),(72440,9),(72441,8),(72442,1),(72443,5),(72444,9),(72445,6),(72446,5),(72447,9),(72448,4),(72449,3),(72450,4),(72451,8),(72452,9),(72453,5),(72454,5),(72455,3),(72456,8),(72457,6),(72458,6),(72459,2),(72460,3),(72461,4),(72462,4),(72463,9),(72464,1),(72465,4),(72466,8),(72467,9),(72468,3),(72469,4),(72470,3),(72471,5),(72472,1),(72473,3),(72474,4),(72475,2),(72476,9),(72477,6),(72478,6),(72479,7),(72480,2),(72481,6),(72482,3),(72483,8),(72484,4),(72485,2),(72486,3),(72487,9),(72488,4),(72489,7),(72490,4),(72491,8),(72492,6),(72493,3),(72494,2),(72495,5),(72496,3),(72497,4),(72498,8),(72499,4),(72500,9),(72501,6),(72502,7),(72503,5),(72504,6),(72505,6),(72506,6),(72507,7),(72508,7),(72509,1),(72510,3),(72511,5),(72512,6),(72513,5),(72514,9),(72515,6),(72516,1),(72517,4),(72518,7),(72519,2),(72520,2),(72521,9),(72522,6),(72523,8),(72524,3),(72525,6),(72526,5),(72527,3),(72528,9),(72529,7),(72530,7),(72531,9),(72532,9),(72533,1),(72534,9),(72535,8),(72536,9),(72537,4),(72538,9),(72539,3),(72540,6),(72541,6),(72542,4),(72543,3),(72544,6),(72545,6),(72546,5),(72547,7),(72548,8),(72549,2),(72550,8),(72551,9),(72552,4),(72553,6),(72554,5),(72555,2),(72556,2),(72557,7),(72558,7),(72559,8),(72560,4),(72561,5),(72562,1),(72563,6),(72564,6),(72565,5),(72566,7),(72567,7),(72568,5),(72569,8),(72570,7),(72571,8),(72572,5),(72573,5),(72574,3),(72575,7),(72576,4),(72577,4),(72578,4),(72579,6),(72580,3),(72581,2),(72582,7),(72583,2),(72584,6),(72585,8),(72586,6),(72587,7),(72588,8),(72589,1),(72590,4),(72591,6),(72592,9),(72593,5),(72594,2),(72595,7),(72596,1),(72597,2),(72598,7),(72599,4),(72600,8),(72601,5),(72602,8),(72603,6),(72604,5),(72605,8),(72606,7),(72607,9),(72608,3),(72609,3),(72610,7),(72611,9),(72612,7),(72613,4),(72614,9),(72615,8),(72616,3),(72617,6),(72618,4),(72619,6),(72620,1),(72621,2),(72622,2),(72623,1),(72624,9),(72625,8),(72626,1),(72627,6),(72628,9),(72629,7),(72630,4),(72631,4),(72632,8),(72633,8),(72634,6),(72635,4),(72636,9),(72637,2),(72638,7),(72639,8),(72640,7),(72641,7),(72642,1),(72643,3),(72644,8),(72645,9),(72646,8),(72647,2),(72648,4),(72649,8),(72650,7),(72651,3),(72652,4),(72653,7),(72654,5),(72655,2),(72656,5),(72657,5),(72658,8),(72659,7),(72660,5),(72661,2),(72662,6),(72663,5),(72664,5),(72665,4),(72666,9),(72667,8),(72668,8),(72669,4),(72670,8),(72671,1),(72672,1),(72673,7),(72674,1),(72675,4),(72676,8),(72677,2),(72678,5),(72679,6),(72680,2),(72681,4),(72682,1),(72683,6),(72684,7),(72685,9),(72686,5),(72687,7),(72688,9),(72689,6),(72690,3),(72691,4),(72692,4),(72693,7),(72694,2),(72695,3),(72696,9),(72697,7),(72698,1),(72699,2),(72700,5),(72701,1),(72702,4),(72703,3),(72704,8),(72705,7),(72706,3),(72707,1),(72708,4),(72709,7),(72710,6),(72711,4),(72712,8),(72713,6),(72714,7),(72715,8),(72716,4),(72717,3),(72718,7),(72719,6),(72720,1),(72721,4),(72722,9),(72723,5),(72724,5),(72725,4),(72726,9),(72727,1),(72728,6),(72729,8),(72730,6),(72731,9),(72732,4),(72733,9),(72734,7),(72735,3),(72736,5),(72737,5),(72738,2),(72739,9),(72740,3),(72741,8),(72742,8),(72743,9),(72744,4),(72745,9),(72746,8),(72747,4),(72748,3),(72749,4),(72750,6),(72751,7),(72752,5),(72753,5),(72754,9),(72755,6),(72756,1),(72757,9),(72758,5),(72759,8),(72760,3),(72761,8),(72762,3),(72763,5),(72764,5),(72765,7),(72766,9),(72767,9),(72768,3),(72769,1),(72770,7),(72771,9),(72772,2),(72773,1),(72774,3),(72775,9),(72776,7),(72777,7),(72778,4),(72779,8),(72780,4),(72781,3),(72782,4),(72783,5),(72784,1),(72785,1),(72786,1),(72787,5),(72788,9),(72789,1),(72790,7),(72791,9),(72792,6),(72793,1),(72794,8),(72795,2),(72796,5),(72797,6),(72798,1),(72799,9),(72800,9),(72801,6),(72802,9),(72803,9),(72804,8),(72805,6),(72806,5),(72807,2),(72808,5),(72809,3),(72810,1),(72811,7),(72812,6),(72813,4),(72814,9),(72815,7),(72816,1),(72817,7),(72818,9),(72819,4),(72820,6),(72821,8),(72822,2),(72823,5),(72824,9),(72825,2),(72826,9),(72827,7),(72828,7),(72829,6),(72830,4),(72831,6),(72832,5),(72833,7),(72834,2),(72835,3),(72836,5),(72837,5),(72838,2),(72839,9),(72840,2),(72841,6),(72842,2),(72843,1),(72844,5),(72845,2),(72846,5),(72847,5),(72848,7),(72849,8),(72850,9),(72851,1),(72852,1),(72853,9),(72854,8),(72855,2),(72856,9),(72857,7),(72858,5),(72859,6),(72860,9),(72861,2),(72862,2),(72863,3),(72864,7),(72865,9),(72866,6),(72867,8),(72868,9),(72869,9),(72870,5),(72871,3),(72872,9),(72873,2),(72874,2),(72875,2),(72876,5),(72877,3),(72878,1),(72879,9),(72880,2),(72881,3),(72882,5),(72883,2),(72884,8),(72885,9),(72886,5),(72887,9),(72888,3),(72889,9),(72890,8),(72891,2),(72892,9),(72893,6),(72894,1),(72895,8),(72896,5),(72897,5),(72898,1),(72899,2),(72900,9),(72901,5),(72902,1),(72903,3),(72904,9),(72905,8),(72906,5),(72907,5),(72908,6),(72909,2),(72910,4),(72911,4),(72912,3),(72913,8),(72914,3),(72915,9),(72916,7),(72917,5),(72918,7),(72919,5),(72920,8),(72921,3),(72922,4),(72923,9),(72924,7),(72925,5),(72926,3),(72927,1),(72928,4),(72929,8),(72930,4),(72931,5),(72932,4),(72933,8),(72934,8),(72935,5),(72936,8),(72937,1),(72938,5),(72939,7),(72940,9),(72941,7),(72942,8),(72943,1),(72944,8),(72945,1),(72946,1),(72947,9),(72948,8),(72949,9),(72950,1),(72951,1),(72952,7),(72953,6),(72954,1),(72955,9),(72956,1),(72957,4),(72958,2),(72959,8),(72960,9),(72961,8),(72962,7),(72963,2),(72964,8),(72965,2),(72966,3),(72967,5),(72968,5),(72969,8),(72970,9),(72971,2),(72972,2),(72973,5),(72974,1),(72975,6),(72976,7),(72977,6),(72978,3),(72979,4),(72980,6),(72981,2),(72982,7),(72983,4),(72984,2),(72985,8),(72986,5),(72987,7),(72988,1),(72989,3),(72990,6),(72991,4),(72992,8),(72993,4),(72994,9),(72995,9),(72996,5),(72997,8),(72998,3),(72999,2),(73000,1),(73001,8),(73002,3),(73003,2),(73004,8),(73005,1),(73006,6),(73007,2),(73008,4),(73009,9),(73010,9),(73011,6),(73012,7),(73013,7),(73014,4),(73015,8),(73016,2),(73017,1),(73018,7),(73019,4),(73020,2),(73021,2),(73022,9),(73023,6),(73024,5),(73025,2),(73026,4),(73027,7),(73028,3),(73029,5),(73030,3),(73031,2),(73032,2),(73033,4),(73034,9),(73035,4),(73036,1),(73037,9),(73038,9),(73039,4),(73040,1),(73041,6),(73042,5),(73043,6),(73044,6),(73045,1),(73046,8),(73047,7),(73048,2),(73049,3),(73050,1),(73051,7),(73052,6),(73053,2),(73054,7),(73055,6),(73056,3),(73057,3),(73058,5),(73059,2),(73060,6),(73061,3),(73062,1),(73063,1),(73064,1),(73065,6),(73066,4),(73067,3),(73068,1),(73069,5),(73070,6),(73071,6),(73072,7),(73073,8),(73074,2),(73075,5),(73076,4),(73077,4),(73078,1),(73079,3),(73080,5),(73081,8),(73082,3),(73083,7),(73084,2),(73085,4),(73086,4),(73087,8),(73088,1),(73089,2),(73090,8),(73091,1),(73092,3),(73093,3),(73094,9),(73095,8),(73096,4),(73097,4),(73098,7),(73099,3),(73100,8),(73101,4),(73102,1),(73103,7),(73104,7),(73105,6),(73106,3),(73107,5),(73108,6),(73109,3),(73110,9),(73111,3),(73112,6),(73113,5),(73114,4),(73115,7),(73116,1),(73117,4),(73118,3),(73119,1),(73120,6),(73121,4),(73122,8),(73123,2),(73124,6),(73125,4),(73126,5),(73127,5),(73128,1),(73129,9),(73130,8),(73131,2),(73132,7),(73133,8),(73134,4),(73135,9),(73136,9),(73137,9),(73138,2),(73139,6),(73140,1),(73141,2),(73142,3),(73143,5),(73144,9),(73145,8),(73146,5),(73147,6),(73148,2),(73149,8),(73150,3),(73151,4),(73152,2),(73153,2),(73154,2),(73155,5),(73156,2),(73157,5),(73158,6),(73159,2),(73160,7),(73161,7),(73162,4),(73163,3),(73164,4),(73165,5),(73166,3),(73167,3),(73168,5),(73169,6),(73170,4),(73171,6),(73172,8),(73173,1),(73174,6),(73175,4),(73176,8),(73177,2),(73178,4),(73179,9),(73180,2),(73181,7),(73182,8),(73183,2),(73184,7),(73185,8),(73186,7),(73187,2),(73188,1),(73189,3),(73190,4),(73191,3),(73192,9),(73193,9),(73194,1),(73195,2),(73196,6),(73197,9),(73198,9),(73199,4),(73200,4),(73201,9),(73202,7),(73203,2),(73204,2),(73205,2),(73206,8),(73207,3),(73208,5),(73209,2),(73210,2),(73211,8),(73212,4),(73213,3),(73214,3),(73215,8),(73216,8),(73217,3),(73218,9),(73219,4),(73220,2),(73221,5),(73222,3),(73223,9),(73224,8),(73225,3),(73226,4),(73227,2),(73228,5),(73229,5),(73230,8),(73231,3),(73232,5),(73233,6),(73234,7),(73235,8),(73236,7),(73237,1),(73238,9),(73239,7),(73240,8),(73241,2),(73242,3),(73243,3),(73244,7),(73245,4),(73246,7),(73247,2),(73248,4),(73249,2),(73250,2),(73251,1),(73252,6),(73253,1),(73254,5),(73255,2),(73256,4),(73257,6),(73258,6),(73259,4),(73260,5),(73261,8),(73262,1),(73263,9),(73264,4),(73265,4),(73266,4),(73267,8),(73268,2),(73269,9),(73270,9),(73271,3),(73272,8),(73273,8),(73274,1),(73275,4),(73276,3),(73277,6),(73278,6),(73279,4),(73280,1),(73281,1),(73282,1),(73283,6),(73284,3),(73285,8),(73286,6),(73287,8),(73288,6),(73289,1),(73290,6),(73291,7),(73292,2),(73293,5),(73294,9),(73295,8),(73296,5),(73297,6),(73298,7),(73299,2),(73300,9),(73301,4),(73302,8),(73303,5),(73304,9),(73305,4),(73306,7),(73307,6),(73308,8),(73309,4),(73310,5),(73311,1),(73312,1),(73313,6),(73314,1),(73315,6),(73316,1),(73317,2),(73318,3),(73319,4),(73320,1),(73321,8),(73322,2),(73323,7),(73324,1),(73325,9),(73326,9),(73327,1),(73328,1),(73329,8),(73330,6),(73331,3),(73332,8),(73333,4),(73334,4),(73335,3),(73336,5),(73337,7),(73338,8),(73339,6),(73340,7),(73341,7),(73342,5),(73343,9),(73344,4),(73345,2),(73346,2),(73347,7),(73348,7),(73349,4),(73350,2),(73351,4),(73352,3),(73353,4),(73354,3),(73355,3),(73356,6),(73357,3),(73358,4),(73359,3),(73360,4),(73361,7),(73362,2),(73363,1),(73364,8),(73365,3),(73366,4),(73367,6),(73368,6),(73369,1),(73370,9),(73371,1),(73372,6),(73373,5),(73374,1),(73375,7),(73376,4),(73377,7),(73378,8),(73379,9),(73380,8),(73381,9),(73382,5),(73383,7),(73384,3),(73385,3),(73386,1),(73387,9),(73388,9),(73389,9),(73390,3),(73391,9),(73392,9),(73393,1),(73394,6),(73395,1),(73396,8),(73397,3),(73398,1),(73399,7),(73400,4),(73401,9),(73402,1),(73403,3),(73404,4),(73405,7),(73406,2),(73407,1),(73408,4),(73409,1),(73410,2),(73411,6),(73412,5),(73413,9),(73414,1),(73415,3),(73416,8),(73417,1),(73418,5),(73419,6),(73420,2),(73421,5),(73422,9),(73423,3),(73424,1),(73425,6),(73426,6),(73427,6),(73428,5),(73429,8),(73430,4),(73431,9),(73432,9),(73433,9),(73434,9),(73435,5),(73436,8),(73437,1),(73438,9),(73439,6),(73440,6),(73441,6),(73442,6),(73443,8),(73444,3),(73445,4),(73446,9),(73447,6),(73448,4),(73449,5),(73450,6),(73451,4),(73452,2),(73453,7),(73454,8),(73455,5),(73456,2),(73457,5),(73458,4),(73459,9),(73460,6),(73461,2),(73462,4),(73463,1),(73464,8),(73465,2),(73466,8),(73467,2),(73468,4),(73469,2),(73470,3),(73471,3),(73472,5),(73473,7),(73474,1),(73475,6),(73476,4),(73477,9),(73478,4),(73479,2),(73480,3),(73481,8),(73482,8),(73483,7),(73484,8),(73485,7),(73486,6),(73487,4),(73488,5),(73489,8),(73490,3),(73491,3),(73492,4),(73493,3),(73494,9),(73495,7),(73496,8),(73497,4),(73498,7),(73499,2),(73500,3),(73501,6),(73502,5),(73503,6),(73504,9),(73505,5),(73506,3),(73507,5),(73508,6),(73509,1),(73510,8),(73511,9),(73512,6),(73513,3),(73514,8),(73515,7),(73516,6),(73517,7),(73518,8),(73519,9),(73520,2),(73521,1),(73522,1),(73523,2),(73524,2),(73525,9),(73526,6),(73527,7),(73528,8),(73529,6),(73530,2),(73531,2),(73532,9),(73533,7),(73534,5),(73535,7),(73536,5),(73537,6),(73538,8),(73539,3),(73540,2),(73541,5),(73542,2),(73543,8),(73544,7),(73545,6),(73546,3),(73547,2),(73548,3),(73549,4),(73550,2),(73551,8),(73552,9),(73553,2),(73554,4),(73555,2),(73556,5),(73557,2),(73558,7),(73559,7),(73560,7),(73561,1),(73562,9),(73563,3),(73564,8),(73565,3),(73566,6),(73567,5),(73568,5),(73569,5),(73570,9),(73571,9),(73572,7),(73573,9),(73574,9),(73575,3),(73576,3),(73577,6),(73578,8),(73579,4),(73580,6),(73581,4),(73582,1),(73583,9),(73584,3),(73585,3),(73586,5),(73587,4),(73588,6),(73589,3),(73590,1),(73591,8),(73592,5),(73593,3),(73594,1),(73595,7),(73596,8),(73597,5),(73598,6),(73599,4),(73600,3),(73601,9),(73602,5),(73603,6),(73604,8),(73605,4),(73606,3),(73607,5),(73608,2),(73609,6),(73610,5),(73611,5),(73612,6),(73613,1),(73614,3),(73615,5),(73616,1),(73617,8),(73618,4),(73619,6),(73620,1),(73621,5),(73622,8),(73623,3),(73624,9),(73625,3),(73626,2),(73627,5),(73628,6),(73629,9),(73630,4),(73631,9),(73632,3),(73633,1),(73634,2),(73635,7),(73636,7),(73637,9),(73638,5),(73639,9),(73640,9),(73641,2),(73642,7),(73643,1),(73644,2),(73645,2),(73646,6),(73647,5),(73648,7),(73649,8),(73650,1),(73651,4),(73652,7),(73653,7),(73654,1),(73655,7),(73656,6),(73657,5),(73658,5),(73659,4),(73660,2),(73661,3),(73662,4),(73663,1),(73664,2),(73665,9),(73666,3),(73667,1),(73668,7),(73669,3),(73670,7),(73671,4),(73672,4),(73673,9),(73674,9),(73675,9),(73676,3),(73677,6),(73678,9),(73679,8),(73680,8),(73681,5),(73682,5),(73683,8),(73684,9),(73685,7),(73686,4),(73687,6),(73688,2),(73689,9),(73690,3),(73691,8),(73692,6),(73693,7),(73694,9),(73695,9),(73696,1),(73697,8),(73698,1),(73699,6),(73700,7),(73701,1),(73702,8),(73703,1),(73704,7),(73705,1),(73706,4),(73707,9),(73708,9),(73709,2),(73710,8),(73711,8),(73712,2),(73713,3),(73714,7),(73715,2),(73716,7),(73717,1),(73718,4),(73719,5),(73720,8),(73721,5),(73722,5),(73723,1),(73724,3),(73725,5),(73726,5),(73727,5),(73728,5),(73729,2),(73730,1),(73731,1),(73732,7),(73733,1),(73734,7),(73735,8),(73736,4),(73737,4),(73738,9),(73739,5),(73740,8),(73741,2),(73742,2),(73743,8),(73744,5),(73745,6),(73746,8),(73747,8),(73748,5),(73749,3),(73750,6),(73751,9),(73752,2),(73753,1),(73754,8),(73755,8),(73756,2),(73757,5),(73758,3),(73759,6),(73760,7),(73761,9),(73762,6),(73763,9),(73764,1),(73765,7),(73766,3),(73767,9),(73768,6),(73769,5),(73770,5),(73771,7),(73772,3),(73773,5),(73774,5),(73775,8),(73776,8),(73777,3),(73778,5),(73779,3),(73780,2),(73781,4),(73782,1),(73783,2),(73784,2),(73785,3),(73786,5),(73787,6),(73788,4),(73789,8),(73790,6),(73791,8),(73792,7),(73793,7),(73794,3),(73795,7),(73796,5),(73797,9),(73798,5),(73799,1),(73800,8),(73801,6),(73802,2),(73803,5),(73804,7),(73805,5),(73806,2),(73807,1),(73808,1),(73809,2),(73810,3),(73811,8),(73812,7),(73813,9),(73814,2),(73815,2),(73816,2),(73817,2),(73818,4),(73819,1),(73820,1),(73821,3),(73822,6),(73823,8),(73824,6),(73825,5),(73826,6),(73827,9),(73828,6),(73829,8),(73830,1),(73831,9),(73832,1),(73833,1),(73834,1),(73835,5),(73836,8),(73837,3),(73838,9),(73839,6),(73840,7),(73841,5),(73842,7),(73843,6),(73844,5),(73845,4),(73846,1),(73847,8),(73848,3),(73849,8),(73850,9),(73851,5),(73852,3),(73853,1),(73854,1),(73855,4),(73856,8),(73857,2),(73858,8),(73859,4),(73860,7),(73861,6),(73862,5),(73863,7),(73864,3),(73865,4),(73866,8),(73867,8),(73868,2),(73869,6),(73870,3),(73871,5),(73872,9),(73873,1),(73874,6),(73875,4),(73876,7),(73877,4),(73878,5),(73879,1),(73880,7),(73881,7),(73882,8),(73883,1),(73884,9),(73885,7),(73886,2),(73887,7),(73888,6),(73889,3),(73890,3),(73891,8),(73892,5),(73893,5),(73894,3),(73895,1),(73896,6),(73897,4),(73898,6),(73899,9),(73900,2),(73901,4),(73902,7),(73903,1),(73904,5),(73905,2),(73906,7),(73907,8),(73908,9),(73909,8),(73910,8),(73911,2),(73912,8),(73913,1),(73914,6),(73915,4),(73916,8),(73917,2),(73918,4),(73919,8),(73920,8),(73921,2),(73922,9),(73923,7),(73924,4),(73925,1),(73926,8),(73927,8),(73928,3),(73929,7),(73930,4),(73931,9),(73932,4),(73933,8),(73934,8),(73935,9),(73936,1),(73937,7),(73938,3),(73939,3),(73940,1),(73941,5),(73942,2),(73943,6),(73944,1),(73945,3),(73946,3),(73947,5),(73948,2),(73949,5),(73950,6),(73951,8),(73952,1),(73953,1),(73954,8),(73955,2),(73956,9),(73957,6),(73958,5),(73959,7),(73960,2),(73961,9),(73962,3),(73963,3),(73964,2),(73965,4),(73966,8),(73967,2),(73968,1),(73969,9),(73970,2),(73971,1),(73972,5),(73973,9),(73974,8),(73975,4),(73976,9),(73977,3),(73978,9),(73979,9),(73980,3),(73981,1),(73982,4),(73983,3),(73984,2),(73985,8),(73986,2),(73987,7),(73988,1),(73989,1),(73990,8),(73991,7),(73992,8),(73993,1),(73994,5),(73995,9),(73996,3),(73997,9),(73998,2),(73999,8),(74000,4),(74001,6),(74002,8),(74003,3),(74004,9),(74005,9),(74006,4),(74007,2),(74008,3),(74009,9),(74010,2),(74011,2),(74012,6),(74013,3),(74014,2),(74015,6),(74016,8),(74017,2),(74018,2),(74019,8),(74020,3),(74021,2),(74022,1),(74023,3),(74024,2),(74025,7),(74026,9),(74027,3),(74028,8),(74029,5),(74030,3),(74031,7),(74032,8),(74033,4),(74034,7),(74035,8),(74036,6),(74037,5),(74038,5),(74039,9),(74040,2),(74041,3),(74042,6),(74043,5),(74044,1),(74045,1),(74046,7),(74047,8),(74048,4),(74049,5),(74050,9),(74051,7),(74052,5),(74053,9),(74054,9),(74055,9),(74056,2),(74057,5),(74058,7),(74059,2),(74060,8),(74061,2),(74062,4),(74063,9),(74064,8),(74065,7),(74066,7),(74067,8),(74068,5),(74069,4),(74070,8),(74071,5),(74072,2),(74073,2),(74074,7),(74075,5),(74076,9),(74077,3),(74078,5),(74079,6),(74080,8),(74081,4),(74082,4),(74083,7),(74084,9),(74085,2),(74086,2),(74087,9),(74088,5),(74089,6),(74090,9),(74091,9),(74092,9),(74093,1),(74094,3),(74095,9),(74096,4),(74097,7),(74098,8),(74099,5),(74100,8),(74101,4),(74102,8),(74103,4),(74104,6),(74105,1),(74106,4),(74107,1),(74108,2),(74109,3),(74110,3),(74111,5),(74112,2),(74113,2),(74114,3),(74115,4),(74116,5),(74117,9),(74118,5),(74119,7),(74120,2),(74121,9),(74122,3),(74123,5),(74124,7),(74125,3),(74126,3),(74127,3),(74128,8),(74129,9),(74130,8),(74131,2),(74132,5),(74133,2),(74134,4),(74135,4),(74136,7),(74137,1),(74138,6),(74139,8),(74140,8),(74141,9),(74142,2),(74143,8),(74144,4),(74145,7),(74146,8),(74147,1),(74148,8),(74149,6),(74150,7),(74151,5),(74152,4),(74153,5),(74154,4),(74155,7),(74156,9),(74157,1),(74158,2),(74159,2),(74160,6),(74161,2),(74162,1),(74163,9),(74164,2),(74165,4),(74166,9),(74167,2),(74168,4),(74169,6),(74170,6),(74171,4),(74172,9),(74173,1),(74174,2),(74175,7),(74176,2),(74177,6),(74178,4),(74179,9),(74180,2),(74181,7),(74182,3),(74183,8),(74184,7),(74185,9),(74186,9),(74187,8),(74188,8),(74189,5),(74190,6),(74191,7),(74192,6),(74193,8),(74194,2),(74195,6),(74196,9),(74197,8),(74198,2),(74199,7),(74200,3),(74201,9),(74202,3),(74203,7),(74204,1),(74205,3),(74206,8),(74207,6),(74208,9),(74209,8),(74210,4),(74211,4),(74212,2),(74213,4),(74214,7),(74215,1),(74216,8),(74217,4),(74218,7),(74219,5),(74220,4),(74221,4),(74222,2),(74223,2),(74224,9),(74225,8),(74226,6),(74227,1),(74228,3),(74229,5),(74230,7),(74231,5),(74232,1),(74233,8),(74234,7),(74235,2),(74236,6),(74237,9),(74238,9),(74239,4),(74240,7),(74241,5),(74242,2),(74243,3),(74244,4),(74245,1),(74246,2),(74247,8),(74248,2),(74249,4),(74250,9),(74251,4),(74252,5),(74253,1),(74254,7),(74255,2),(74256,7),(74257,3),(74258,1),(74259,2),(74260,6),(74261,7),(74262,2),(74263,4),(74264,2),(74265,1),(74266,6),(74267,3),(74268,9),(74269,3),(74270,3),(74271,9),(74272,1),(74273,7),(74274,9),(74275,3),(74276,3),(74277,4),(74278,9),(74279,2),(74280,7),(74281,9),(74282,7),(74283,5),(74284,2),(74285,9),(74286,5),(74287,4),(74288,2),(74289,6),(74290,4),(74291,4),(74292,6),(74293,9),(74294,2),(74295,5),(74296,7),(74297,1),(74298,7),(74299,4),(74300,3),(74301,5),(74302,1),(74303,9),(74304,6),(74305,6),(74306,3),(74307,6),(74308,1),(74309,4),(74310,1),(74311,1),(74312,3),(74313,5),(74314,7),(74315,6),(74316,1),(74317,7),(74318,9),(74319,1),(74320,6),(74321,3),(74322,3),(74323,8),(74324,2),(74325,4),(74326,5),(74327,4),(74328,9),(74329,3),(74330,8),(74331,3),(74332,9),(74333,8),(74334,7),(74335,4),(74336,5),(74337,5),(74338,3),(74339,3),(74340,1),(74341,4),(74342,6),(74343,2),(74344,9),(74345,9),(74346,8),(74347,6),(74348,2),(74349,2),(74350,2),(74351,5),(74352,6),(74353,7),(74354,7),(74355,5),(74356,2),(74357,8),(74358,9),(74359,2),(74360,4),(74361,1),(74362,5),(74363,4),(74364,8),(74365,5),(74366,8),(74367,4),(74368,1),(74369,8),(74370,6),(74371,2),(74372,8),(74373,4),(74374,3),(74375,5),(74376,2),(74377,2),(74378,4),(74379,8),(74380,8),(74381,2),(74382,1),(74383,1),(74384,4),(74385,8),(74386,7),(74387,6),(74388,3),(74389,9),(74390,4),(74391,1),(74392,8),(74393,8),(74394,2),(74395,8),(74396,6),(74397,8),(74398,7),(74399,7),(74400,6),(74401,3),(74402,1),(74403,5),(74404,9),(74405,7),(74406,3),(74407,1),(74408,2),(74409,4),(74410,8),(74411,1),(74412,2),(74413,4),(74414,4),(74415,7),(74416,4),(74417,7),(74418,8),(74419,7),(74420,8),(74421,7),(74422,5),(74423,8),(74424,4),(74425,4),(74426,3),(74427,7),(74428,7),(74429,7),(74430,8),(74431,2),(74432,5),(74433,1),(74434,9),(74435,5),(74436,4),(74437,2),(74438,5),(74439,5),(74440,3),(74441,5),(74442,7),(74443,5),(74444,2),(74445,9),(74446,8),(74447,9),(74448,6),(74449,1),(74450,7),(74451,7),(74452,9),(74453,3),(74454,5),(74455,3),(74456,7),(74457,1),(74458,8),(74459,9),(74460,8),(74461,1),(74462,8),(74463,1),(74464,8),(74465,7),(74466,2),(74467,1),(74468,4),(74469,2),(74470,8),(74471,1),(74472,3),(74473,6),(74474,9),(74475,7),(74476,6),(74477,4),(74478,7),(74479,9),(74480,1),(74481,7),(74482,2),(74483,6),(74484,7),(74485,6),(74486,1),(74487,8),(74488,9),(74489,4),(74490,4),(74491,2),(74492,8),(74493,5),(74494,2),(74495,8),(74496,1),(74497,3),(74498,9),(74499,9),(74500,6),(74501,9),(74502,2),(74503,9),(74504,7),(74505,2),(74506,7),(74507,9),(74508,2),(74509,3),(74510,2),(74511,5),(74512,3),(74513,2),(74514,3),(74515,8),(74516,3),(74517,3),(74518,9),(74519,8),(74520,5),(74521,1),(74522,2),(74523,3),(74524,7),(74525,7),(74526,9),(74527,7),(74528,5),(74529,9),(74530,3),(74531,2),(74532,1),(74533,7),(74534,3),(74535,7),(74536,5),(74537,6),(74538,3),(74539,8),(74540,4),(74541,3),(74542,1),(74543,2),(74544,5),(74545,3),(74546,7),(74547,8),(74548,1),(74549,3),(74550,9),(74551,4),(74552,8),(74553,2),(74554,1),(74555,7),(74556,1),(74557,9),(74558,4),(74559,2),(74560,5),(74561,8),(74562,7),(74563,2),(74564,9),(74565,6),(74566,2),(74567,3),(74568,4),(74569,7),(74570,8),(74571,1),(74572,7),(74573,1),(74574,5),(74575,3),(74576,6),(74577,1),(74578,7),(74579,3),(74580,6),(74581,6),(74582,5),(74583,9),(74584,4),(74585,3),(74586,8),(74587,6),(74588,6),(74589,8),(74590,8),(74591,8),(74592,1),(74593,9),(74594,7),(74595,4),(74596,1),(74597,7),(74598,4),(74599,8),(74600,4),(74601,1),(74602,5),(74603,8),(74604,4),(74605,5),(74606,6),(74607,1),(74608,5),(74609,5),(74610,1),(74611,8),(74612,5),(74613,2),(74614,1),(74615,6),(74616,2),(74617,4),(74618,3),(74619,2),(74620,6),(74621,1),(74622,9),(74623,8),(74624,9),(74625,9),(74626,1),(74627,9),(74628,5),(74629,2),(74630,7),(74631,5),(74632,4),(74633,6),(74634,5),(74635,6),(74636,6),(74637,9),(74638,4),(74639,2),(74640,2),(74641,5),(74642,2),(74643,7),(74644,8),(74645,4),(74646,4),(74647,7),(74648,2),(74649,9),(74650,6),(74651,3),(74652,3),(74653,5),(74654,8),(74655,6),(74656,9),(74657,2),(74658,7),(74659,6),(74660,5),(74661,2),(74662,5),(74663,2),(74664,8),(74665,9),(74666,6),(74667,3),(74668,8),(74669,7),(74670,7),(74671,5),(74672,1),(74673,7),(74674,2),(74675,4),(74676,2),(74677,6),(74678,4),(74679,9),(74680,6),(74681,2),(74682,4),(74683,2),(74684,6),(74685,3),(74686,1),(74687,1),(74688,9),(74689,7),(74690,1),(74691,7),(74692,3),(74693,3),(74694,9),(74695,3),(74696,7),(74697,6),(74698,1),(74699,8),(74700,4),(74701,3),(74702,1),(74703,8),(74704,5),(74705,4),(74706,1),(74707,2),(74708,9),(74709,7),(74710,1),(74711,1),(74712,8),(74713,6),(74714,3),(74715,5),(74716,1),(74717,9),(74718,5),(74719,8),(74720,6),(74721,9),(74722,1),(74723,7),(74724,9),(74725,1),(74726,4),(74727,9),(74728,1),(74729,3),(74730,2),(74731,3),(74732,8),(74733,4),(74734,5),(74735,5),(74736,7),(74737,1),(74738,9),(74739,1),(74740,4),(74741,4),(74742,9),(74743,6),(74744,1),(74745,4),(74746,1),(74747,1),(74748,7),(74749,6),(74750,1),(74751,9),(74752,9),(74753,9),(74754,9),(74755,4),(74756,8),(74757,2),(74758,2),(74759,6),(74760,1),(74761,5),(74762,2),(74763,2),(74764,2),(74765,7),(74766,7),(74767,7),(74768,9),(74769,4),(74770,8),(74771,8),(74772,3),(74773,7),(74774,6),(74775,7),(74776,9),(74777,9),(74778,7),(74779,6),(74780,5),(74781,2),(74782,5),(74783,5),(74784,4),(74785,9),(74786,6),(74787,2),(74788,1),(74789,4),(74790,9),(74791,9),(74792,6),(74793,5),(74794,9),(74795,4),(74796,8),(74797,1),(74798,8),(74799,7),(74800,9),(74801,3),(74802,4),(74803,3),(74804,1),(74805,9),(74806,7),(74807,4),(74808,7),(74809,5),(74810,5),(74811,4),(74812,8),(74813,4),(74814,3),(74815,8),(74816,3),(74817,4),(74818,2),(74819,5),(74820,8),(74821,7),(74822,8),(74823,9),(74824,8),(74825,4),(74826,5),(74827,6),(74828,8),(74829,7),(74830,1),(74831,1),(74832,1),(74833,1),(74834,6),(74835,4),(74836,4),(74837,3),(74838,8),(74839,2),(74840,3),(74841,3),(74842,3),(74843,6),(74844,9),(74845,5),(74846,9),(74847,3),(74848,9),(74849,1),(74850,4),(74851,4),(74852,6),(74853,3),(74854,2),(74855,8),(74856,4),(74857,3),(74858,4),(74859,1),(74860,8),(74861,8),(74862,9),(74863,4),(74864,1),(74865,3),(74866,4),(74867,1),(74868,2),(74869,5),(74870,8),(74871,6),(74872,2),(74873,5),(74874,8),(74875,5),(74876,8),(74877,6),(74878,7),(74879,4),(74880,4),(74881,5),(74882,6),(74883,7),(74884,4),(74885,3),(74886,6),(74887,6),(74888,5),(74889,5),(74890,8),(74891,3),(74892,2),(74893,1),(74894,2),(74895,7),(74896,6),(74897,5),(74898,3),(74899,4),(74900,2),(74901,2),(74902,4),(74903,1),(74904,3),(74905,1),(74906,4),(74907,5),(74908,2),(74909,2),(74910,9),(74911,4),(74912,1),(74913,9),(74914,9),(74915,1),(74916,4),(74917,3),(74918,5),(74919,2),(74920,7),(74921,9),(74922,7),(74923,4),(74924,8),(74925,9),(74926,1),(74927,5),(74928,9),(74929,4),(74930,4),(74931,6),(74932,6),(74933,4),(74934,3),(74935,3),(74936,1),(74937,8),(74938,5),(74939,7),(74940,1),(74941,7),(74942,6),(74943,1),(74944,1),(74945,3),(74946,9),(74947,9),(74948,6),(74949,7),(74950,6),(74951,4),(74952,3),(74953,5),(74954,5),(74955,1),(74956,6),(74957,7),(74958,8),(74959,5),(74960,6),(74961,3),(74962,2),(74963,1),(74964,8),(74965,5),(74966,9),(74967,8),(74968,2),(74969,5),(74970,9),(74971,5),(74972,7),(74973,9),(74974,8),(74975,3),(74976,5),(74977,7),(74978,8),(74979,9),(74980,2),(74981,9),(74982,5),(74983,7),(74984,2),(74985,6),(74986,4),(74987,2),(74988,4),(74989,6),(74990,4),(74991,2),(74992,7),(74993,5),(74994,5),(74995,9),(74996,3),(74997,1),(74998,6),(74999,8),(75000,7),(75001,1),(75002,7),(75003,6),(75004,3),(75005,8),(75006,4),(75007,6),(75008,1),(75009,1),(75010,9),(75011,7),(75012,5),(75013,4),(75014,3),(75015,8),(75016,6),(75017,2),(75018,8),(75019,5),(75020,3),(75021,1),(75022,2),(75023,6),(75024,2),(75025,3),(75026,8),(75027,1),(75028,9),(75029,4),(75030,3),(75031,5),(75032,4),(75033,9),(75034,8),(75035,2),(75036,4),(75037,2),(75038,4),(75039,6),(75040,9),(75041,3),(75042,2),(75043,8),(75044,4),(75045,1),(75046,1),(75047,4),(75048,3),(75049,1),(75050,1),(75051,6),(75052,4),(75053,9),(75054,8),(75055,2),(75056,5),(75057,5),(75058,7),(75059,1),(75060,5),(75061,4),(75062,8),(75063,4),(75064,2),(75065,9),(75066,5),(75067,7),(75068,3),(75069,9),(75070,5),(75071,2),(75072,9),(75073,5),(75074,6),(75075,5),(75076,2),(75077,8),(75078,7),(75079,5),(75080,2),(75081,8),(75082,2),(75083,6),(75084,6),(75085,4),(75086,6),(75087,4),(75088,9),(75089,1),(75090,5),(75091,5),(75092,3),(75093,3),(75094,1),(75095,4),(75096,2),(75097,7),(75098,3),(75099,1),(75100,9),(75101,8),(75102,8),(75103,8),(75104,3),(75105,2),(75106,1),(75107,8),(75108,3),(75109,8),(75110,6),(75111,8),(75112,9),(75113,6),(75114,5),(75115,9),(75116,2),(75117,7),(75118,4),(75119,9),(75120,4),(75121,6),(75122,9),(75123,9),(75124,5),(75125,4),(75126,7),(75127,9),(75128,3),(75129,8),(75130,2),(75131,9),(75132,3),(75133,3),(75134,6),(75135,5),(75136,2),(75137,5),(75138,1),(75139,1),(75140,4),(75141,6),(75142,2),(75143,9),(75144,2),(75145,7),(75146,9),(75147,3),(75148,5),(75149,8),(75150,6),(75151,8),(75152,3),(75153,2),(75154,4),(75155,9),(75156,6),(75157,7),(75158,6),(75159,9),(75160,9),(75161,2),(75162,7),(75163,6),(75164,6),(75165,8),(75166,2),(75167,1),(75168,8),(75169,7),(75170,4),(75171,2),(75172,2),(75173,8),(75174,6),(75175,3),(75176,5),(75177,9),(75178,7),(75179,7),(75180,7),(75181,2),(75182,6),(75183,1),(75184,4),(75185,3),(75186,9),(75187,6),(75188,7),(75189,2),(75190,4),(75191,7),(75192,3),(75193,6),(75194,2),(75195,2),(75196,2),(75197,9),(75198,2),(75199,2),(75200,5),(75201,2),(75202,5),(75203,6),(75204,2),(75205,6),(75206,2),(75207,2),(75208,2),(75209,5),(75210,3),(75211,5),(75212,5),(75213,4),(75214,1),(75215,9),(75216,7),(75217,6),(75218,5),(75219,7),(75220,9),(75221,9),(75222,4),(75223,7),(75224,2),(75225,9),(75226,6),(75227,6),(75228,7),(75229,4),(75230,8),(75231,3),(75232,2),(75233,8),(75234,1),(75235,4),(75236,1),(75237,3),(75238,3),(75239,4),(75240,4),(75241,4),(75242,6),(75243,5),(75244,7),(75245,9),(75246,3),(75247,7),(75248,1),(75249,3),(75250,3),(75251,2),(75252,6),(75253,5),(75254,7),(75255,1),(75256,1),(75257,9),(75258,4),(75259,6),(75260,8),(75261,1),(75262,2),(75263,3),(75264,9),(75265,4),(75266,6),(75267,4),(75268,9),(75269,7),(75270,7),(75271,2),(75272,6),(75273,9),(75274,4),(75275,2),(75276,5),(75277,9),(75278,6),(75279,6),(75280,3),(75281,9),(75282,7),(75283,7),(75284,7),(75285,8),(75286,5),(75287,5),(75288,3),(75289,9),(75290,7),(75291,8),(75292,4),(75293,7),(75294,9),(75295,6),(75296,9),(75297,3),(75298,3),(75299,2),(75300,3),(75301,4),(75302,5),(75303,5),(75304,4),(75305,6),(75306,8),(75307,1),(75308,2),(75309,7),(75310,2),(75311,6),(75312,5),(75313,3),(75314,1),(75315,6),(75316,3),(75317,8),(75318,8),(75319,2),(75320,4),(75321,8),(75322,3),(75323,3),(75324,7),(75325,4),(75326,8),(75327,4),(75328,8),(75329,5),(75330,4),(75331,4),(75332,5),(75333,3),(75334,6),(75335,1),(75336,9),(75337,4),(75338,1),(75339,8),(75340,5),(75341,4),(75342,1),(75343,8),(75344,6),(75345,4),(75346,4),(75347,3),(75348,9),(75349,9),(75350,2),(75351,9),(75352,2),(75353,7),(75354,6),(75355,9),(75356,8),(75357,1),(75358,1),(75359,4),(75360,6),(75361,6),(75362,6),(75363,9),(75364,2),(75365,6),(75366,6),(75367,3),(75368,6),(75369,3),(75370,6),(75371,9),(75372,2),(75373,6),(75374,2),(75375,5),(75376,2),(75377,6),(75378,8),(75379,7),(75380,3),(75381,7),(75382,4),(75383,1),(75384,6),(75385,2),(75386,3),(75387,2),(75388,1),(75389,5),(75390,3),(75391,6),(75392,4),(75393,8),(75394,9),(75395,1),(75396,1),(75397,9),(75398,8),(75399,9),(75400,8),(75401,1),(75402,8),(75403,8),(75404,4),(75405,3),(75406,6),(75407,9),(75408,7),(75409,8),(75410,4),(75411,8),(75412,6),(75413,9),(75414,5),(75415,4),(75416,6),(75417,2),(75418,4),(75419,6),(75420,3),(75421,7),(75422,6),(75423,6),(75424,6),(75425,9),(75426,3),(75427,7),(75428,8),(75429,3),(75430,6),(75431,2),(75432,3),(75433,9),(75434,5),(75435,7),(75436,6),(75437,7),(75438,7),(75439,1),(75440,7),(75441,8),(75442,9),(75443,3),(75444,6),(75445,8),(75446,1),(75447,9),(75448,1),(75449,6),(75450,2),(75451,3),(75452,9),(75453,8),(75454,7),(75455,7),(75456,6),(75457,4),(75458,8),(75459,1),(75460,3),(75461,2),(75462,2),(75463,4),(75464,4),(75465,5),(75466,4),(75467,1),(75468,5),(75469,7),(75470,9),(75471,8),(75472,1),(75473,9),(75474,9),(75475,1),(75476,8),(75477,9),(75478,1),(75479,6),(75480,8),(75481,1),(75482,3),(75483,2),(75484,7),(75485,5),(75486,6),(75487,6),(75488,4),(75489,1),(75490,9),(75491,4),(75492,9),(75493,2),(75494,9),(75495,8),(75496,2),(75497,1),(75498,4),(75499,3),(75500,2),(75501,5),(75502,4),(75503,2),(75504,5),(75505,4),(75506,3),(75507,8),(75508,8),(75509,5),(75510,7),(75511,9),(75512,6),(75513,5),(75514,5),(75515,7),(75516,3),(75517,4),(75518,2),(75519,7),(75520,8),(75521,6),(75522,7),(75523,5),(75524,2),(75525,1),(75526,4),(75527,6),(75528,3),(75529,5),(75530,9),(75531,6),(75532,8),(75533,3),(75534,3),(75535,9),(75536,6),(75537,2),(75538,8),(75539,2),(75540,3),(75541,7),(75542,1),(75543,8),(75544,2),(75545,1),(75546,8),(75547,5),(75548,1),(75549,5),(75550,5),(75551,4),(75552,7),(75553,8),(75554,3),(75555,5),(75556,5),(75557,2),(75558,2),(75559,8),(75560,2),(75561,1),(75562,2),(75563,6),(75564,1),(75565,8),(75566,2),(75567,6),(75568,7),(75569,9),(75570,9),(75571,5),(75572,1),(75573,9),(75574,9),(75575,7),(75576,8),(75577,2),(75578,9),(75579,9),(75580,8),(75581,9),(75582,3),(75583,4),(75584,3),(75585,9),(75586,1),(75587,5),(75588,9),(75589,5),(75590,2),(75591,8),(75592,5),(75593,9),(75594,3),(75595,3),(75596,6),(75597,6),(75598,5),(75599,4),(75600,1),(75601,5),(75602,1),(75603,2),(75604,4),(75605,1),(75606,5),(75607,7),(75608,7),(75609,9),(75610,2),(75611,1),(75612,8),(75613,4),(75614,7),(75615,8),(75616,4),(75617,6),(75618,9),(75619,6),(75620,8),(75621,3),(75622,1),(75623,6),(75624,5),(75625,8),(75626,9),(75627,3),(75628,6),(75629,1),(75630,6),(75631,2),(75632,4),(75633,8),(75634,6),(75635,3),(75636,1),(75637,4),(75638,6),(75639,9),(75640,7),(75641,1),(75642,4),(75643,5),(75644,1),(75645,7),(75646,7),(75647,2),(75648,1),(75649,9),(75650,2),(75651,4),(75652,7),(75653,6),(75654,6),(75655,6),(75656,9),(75657,2),(75658,4),(75659,1),(75660,8),(75661,2),(75662,6),(75663,2),(75664,7),(75665,5),(75666,8),(75667,4),(75668,9),(75669,9),(75670,6),(75671,9),(75672,9),(75673,1),(75674,1),(75675,4),(75676,7),(75677,5),(75678,8),(75679,2),(75680,6),(75681,4),(75682,8),(75683,9),(75684,6),(75685,7),(75686,5),(75687,2),(75688,7),(75689,4),(75690,6),(75691,5),(75692,6),(75693,7),(75694,6),(75695,7),(75696,5),(75697,4),(75698,7),(75699,7),(75700,2),(75701,7),(75702,3),(75703,8),(75704,8),(75705,2),(75706,3),(75707,2),(75708,1),(75709,2),(75710,7),(75711,5),(75712,6),(75713,5),(75714,8),(75715,7),(75716,9),(75717,7),(75718,6),(75719,4),(75720,8),(75721,9),(75722,6),(75723,3),(75724,2),(75725,3),(75726,4),(75727,5),(75728,7),(75729,6),(75730,5),(75731,9),(75732,9),(75733,3),(75734,9),(75735,2),(75736,4),(75737,8),(75738,9),(75739,9),(75740,6),(75741,9),(75742,1),(75743,8),(75744,7),(75745,6),(75746,5),(75747,8),(75748,7),(75749,5),(75750,9),(75751,8),(75752,1),(75753,5),(75754,3),(75755,5),(75756,6),(75757,9),(75758,6),(75759,6),(75760,4),(75761,4),(75762,7),(75763,7),(75764,9),(75765,3),(75766,5),(75767,2),(75768,9),(75769,9),(75770,9),(75771,8),(75772,6),(75773,8),(75774,9),(75775,2),(75776,7),(75777,7),(75778,2),(75779,2),(75780,2),(75781,8),(75782,3),(75783,1),(75784,2),(75785,6),(75786,8),(75787,3),(75788,9),(75789,9),(75790,4),(75791,9),(75792,3),(75793,7),(75794,1),(75795,9),(75796,4),(75797,5),(75798,4),(75799,5),(75800,1),(75801,7),(75802,7),(75803,6),(75804,2),(75805,4),(75806,1),(75807,1),(75808,7),(75809,7),(75810,4),(75811,1),(75812,4),(75813,3),(75814,6),(75815,9),(75816,9),(75817,2),(75818,7),(75819,5),(75820,2),(75821,8),(75822,9),(75823,1),(75824,2),(75825,1),(75826,1),(75827,9),(75828,4),(75829,3),(75830,7),(75831,8),(75832,6),(75833,1),(75834,7),(75835,7),(75836,7),(75837,3),(75838,6),(75839,3),(75840,7),(75841,9),(75842,3),(75843,1),(75844,3),(75845,9),(75846,9),(75847,4),(75848,2),(75849,9),(75850,7),(75851,2),(75852,1),(75853,1),(75854,6),(75855,5),(75856,9),(75857,5),(75858,8),(75859,2),(75860,5),(75861,8),(75862,6),(75863,6),(75864,4),(75865,9),(75866,9),(75867,1),(75868,8),(75869,2),(75870,1),(75871,5),(75872,7),(75873,4),(75874,4),(75875,2),(75876,4),(75877,7),(75878,7),(75879,5),(75880,4),(75881,7),(75882,7),(75883,8),(75884,4),(75885,4),(75886,3),(75887,6),(75888,8),(75889,6),(75890,7),(75891,4),(75892,8),(75893,9),(75894,7),(75895,5),(75896,2),(75897,2),(75898,7),(75899,4),(75900,1),(75901,1),(75902,5),(75903,8),(75904,8),(75905,3),(75906,5),(75907,1),(75908,8),(75909,9),(75910,3),(75911,8),(75912,4),(75913,4),(75914,2),(75915,6),(75916,3),(75917,7),(75918,6),(75919,5),(75920,9),(75921,3),(75922,8),(75923,7),(75924,7),(75925,7),(75926,9),(75927,2),(75928,7),(75929,8),(75930,4),(75931,7),(75932,5),(75933,5),(75934,4),(75935,8),(75936,2),(75937,6),(75938,5),(75939,7),(75940,9),(75941,1),(75942,7),(75943,5),(75944,4),(75945,4),(75946,8),(75947,9),(75948,9),(75949,5),(75950,3),(75951,6),(75952,2),(75953,4),(75954,8),(75955,2),(75956,6),(75957,1),(75958,9),(75959,5),(75960,8),(75961,8),(75962,8),(75963,9),(75964,1),(75965,3),(75966,8),(75967,8),(75968,8),(75969,6),(75970,3),(75971,7),(75972,9),(75973,7),(75974,1),(75975,2),(75976,6),(75977,7),(75978,2),(75979,5),(75980,9),(75981,8),(75982,8),(75983,7),(75984,5),(75985,3),(75986,7),(75987,4),(75988,5),(75989,3),(75990,4),(75991,4),(75992,6),(75993,1),(75994,1),(75995,6),(75996,5),(75997,3),(75998,6),(75999,1),(76000,8),(76001,2),(76002,2),(76003,6),(76004,4),(76005,8),(76006,4),(76007,9),(76008,8),(76009,8),(76010,8),(76011,6),(76012,7),(76013,8),(76014,7),(76015,2),(76016,7),(76017,6),(76018,2),(76019,5),(76020,3),(76021,8),(76022,3),(76023,5),(76024,1),(76025,1),(76026,9),(76027,6),(76028,4),(76029,8),(76030,5),(76031,4),(76032,6),(76033,9),(76034,3),(76035,7),(76036,6),(76037,6),(76038,3),(76039,3),(76040,3),(76041,1),(76042,1),(76043,6),(76044,4),(76045,2),(76046,8),(76047,4),(76048,8),(76049,4),(76050,5),(76051,9),(76052,5),(76053,8),(76054,8),(76055,5),(76056,4),(76057,3),(76058,6),(76059,3),(76060,2),(76061,5),(76062,4),(76063,5),(76064,7),(76065,7),(76066,4),(76067,7),(76068,2),(76069,1),(76070,6),(76071,6),(76072,3),(76073,5),(76074,3),(76075,1),(76076,7),(76077,5),(76078,6),(76079,7),(76080,8),(76081,5),(76082,7),(76083,8),(76084,7),(76085,7),(76086,9),(76087,1),(76088,8),(76089,6),(76090,9),(76091,6),(76092,8),(76093,5),(76094,1),(76095,9),(76096,9),(76097,2),(76098,2),(76099,8),(76100,6),(76101,2),(76102,5),(76103,8),(76104,2),(76105,1),(76106,7),(76107,9),(76108,8),(76109,4),(76110,8),(76111,4),(76112,7),(76113,2),(76114,7),(76115,8),(76116,3),(76117,1),(76118,7),(76119,7),(76120,7),(76121,4),(76122,8),(76123,8),(76124,1),(76125,2),(76126,3),(76127,7),(76128,5),(76129,2),(76130,2),(76131,7),(76132,7),(76133,7),(76134,8),(76135,2),(76136,3),(76137,5),(76138,5),(76139,9),(76140,2),(76141,9),(76142,9),(76143,3),(76144,2),(76145,9),(76146,2),(76147,5),(76148,1),(76149,7),(76150,3),(76151,7),(76152,2),(76153,6),(76154,7),(76155,5),(76156,6),(76157,3),(76158,6),(76159,4),(76160,9),(76161,1),(76162,7),(76163,8),(76164,4),(76165,1),(76166,2),(76167,4),(76168,1),(76169,8),(76170,9),(76171,1),(76172,6),(76173,7),(76174,3),(76175,5),(76176,7),(76177,6),(76178,4),(76179,7),(76180,1),(76181,2),(76182,7),(76183,6),(76184,3),(76185,6),(76186,5),(76187,7),(76188,2),(76189,9),(76190,8),(76191,6),(76192,7),(76193,1),(76194,2),(76195,2),(76196,2),(76197,4),(76198,5),(76199,9),(76200,1),(76201,2),(76202,6),(76203,2),(76204,5),(76205,7),(76206,7),(76207,1),(76208,5),(76209,8),(76210,2),(76211,9),(76212,5),(76213,8),(76214,8),(76215,9),(76216,1),(76217,5),(76218,4),(76219,6),(76220,5),(76221,7),(76222,3),(76223,9),(76224,4),(76225,6),(76226,8),(76227,3),(76228,2),(76229,1),(76230,7),(76231,4),(76232,6),(76233,8),(76234,9),(76235,6),(76236,7),(76237,8),(76238,3),(76239,5),(76240,7),(76241,3),(76242,7),(76243,9),(76244,6),(76245,6),(76246,5),(76247,7),(76248,7),(76249,2),(76250,8),(76251,7),(76252,5),(76253,8),(76254,8),(76255,9),(76256,5),(76257,7),(76258,1),(76259,8),(76260,5),(76261,9),(76262,5),(76263,7),(76264,6),(76265,1),(76266,3),(76267,3),(76268,4),(76269,1),(76270,7),(76271,2),(76272,4),(76273,2),(76274,7),(76275,8),(76276,4),(76277,1),(76278,4),(76279,2),(76280,2),(76281,3),(76282,5),(76283,5),(76284,6),(76285,1),(76286,5),(76287,2),(76288,7),(76289,1),(76290,7),(76291,3),(76292,2),(76293,5),(76294,2),(76295,3),(76296,3),(76297,4),(76298,6),(76299,8),(76300,9),(76301,2),(76302,7),(76303,7),(76304,8),(76305,7),(76306,4),(76307,5),(76308,9),(76309,9),(76310,5),(76311,6),(76312,5),(76313,2),(76314,1),(76315,1),(76316,3),(76317,9),(76318,3),(76319,9),(76320,4),(76321,8),(76322,3),(76323,9),(76324,2),(76325,6),(76326,1),(76327,9),(76328,4),(76329,8),(76330,6),(76331,8),(76332,1),(76333,8),(76334,5),(76335,5),(76336,3),(76337,1),(76338,3),(76339,3),(76340,3),(76341,9),(76342,4),(76343,4),(76344,6),(76345,6),(76346,9),(76347,3),(76348,4),(76349,6),(76350,7),(76351,9),(76352,1),(76353,6),(76354,3),(76355,3),(76356,4),(76357,9),(76358,6),(76359,9),(76360,1),(76361,1),(76362,6),(76363,1),(76364,4),(76365,2),(76366,8),(76367,5),(76368,8),(76369,1),(76370,6),(76371,7),(76372,9),(76373,2),(76374,7),(76375,2),(76376,7),(76377,1),(76378,5),(76379,9),(76380,9),(76381,2),(76382,9),(76383,6),(76384,1),(76385,7),(76386,6),(76387,1),(76388,6),(76389,5),(76390,1),(76391,3),(76392,7),(76393,9),(76394,2),(76395,5),(76396,2),(76397,8),(76398,7),(76399,8),(76400,2),(76401,2),(76402,6),(76403,4),(76404,2),(76405,1),(76406,9),(76407,6),(76408,2),(76409,2),(76410,2),(76411,2),(76412,8),(76413,4),(76414,8),(76415,1),(76416,4),(76417,6),(76418,6),(76419,7),(76420,9),(76421,8),(76422,1),(76423,2),(76424,4),(76425,9),(76426,2),(76427,5),(76428,8),(76429,4),(76430,5),(76431,6),(76432,9),(76433,5),(76434,6),(76435,8),(76436,9),(76437,8),(76438,9),(76439,4),(76440,3),(76441,8),(76442,7),(76443,5),(76444,2),(76445,1),(76446,9),(76447,9),(76448,8),(76449,9),(76450,7),(76451,7),(76452,9),(76453,2),(76454,6),(76455,4),(76456,4),(76457,9),(76458,5),(76459,1),(76460,8),(76461,7),(76462,3),(76463,2),(76464,1),(76465,9),(76466,5),(76467,4),(76468,3),(76469,6),(76470,7),(76471,5),(76472,6),(76473,6),(76474,6),(76475,3),(76476,9),(76477,7),(76478,6),(76479,2),(76480,8),(76481,2),(76482,7),(76483,7),(76484,4),(76485,8),(76486,7),(76487,7),(76488,1),(76489,8),(76490,2),(76491,7),(76492,4),(76493,9),(76494,1),(76495,1),(76496,5),(76497,4),(76498,2),(76499,2),(76500,8),(76501,2),(76502,6),(76503,1),(76504,3),(76505,3),(76506,1),(76507,6),(76508,8),(76509,4),(76510,2),(76511,6),(76512,6),(76513,5),(76514,2),(76515,8),(76516,3),(76517,6),(76518,8),(76519,1),(76520,2),(76521,6),(76522,6),(76523,6),(76524,2),(76525,9),(76526,5),(76527,4),(76528,9),(76529,4),(76530,1),(76531,7),(76532,6),(76533,8),(76534,7),(76535,9),(76536,5),(76537,8),(76538,3),(76539,1),(76540,8),(76541,3),(76542,9),(76543,9),(76544,3),(76545,8),(76546,7),(76547,3),(76548,7),(76549,8),(76550,8),(76551,9),(76552,9),(76553,5),(76554,6),(76555,2),(76556,6),(76557,9),(76558,6),(76559,7),(76560,8),(76561,8),(76562,9),(76563,6),(76564,3),(76565,1),(76566,8),(76567,8),(76568,6),(76569,7),(76570,6),(76571,8),(76572,8),(76573,7),(76574,4),(76575,1),(76576,3),(76577,2),(76578,4),(76579,9),(76580,4),(76581,5),(76582,7),(76583,4),(76584,1),(76585,2),(76586,9),(76587,4),(76588,7),(76589,2),(76590,1),(76591,5),(76592,5),(76593,8),(76594,3),(76595,5),(76596,4),(76597,9),(76598,3),(76599,3),(76600,3),(76601,2),(76602,3),(76603,4),(76604,6),(76605,7),(76606,4),(76607,1),(76608,2),(76609,8),(76610,8),(76611,4),(76612,6),(76613,5),(76614,5),(76615,6),(76616,1),(76617,3),(76618,3),(76619,4),(76620,1),(76621,8),(76622,2),(76623,1),(76624,4),(76625,6),(76626,4),(76627,8),(76628,3),(76629,3),(76630,9),(76631,4),(76632,2),(76633,1),(76634,9),(76635,4),(76636,3),(76637,7),(76638,7),(76639,3),(76640,8),(76641,7),(76642,1),(76643,2),(76644,7),(76645,2),(76646,6),(76647,5),(76648,8),(76649,6),(76650,5),(76651,9),(76652,9),(76653,7),(76654,8),(76655,9),(76656,2),(76657,5),(76658,7),(76659,9),(76660,7),(76661,6),(76662,8),(76663,6),(76664,3),(76665,8),(76666,7),(76667,1),(76668,5),(76669,1),(76670,9),(76671,3),(76672,8),(76673,6),(76674,8),(76675,5),(76676,1),(76677,5),(76678,7),(76679,5),(76680,9),(76681,1),(76682,2),(76683,7),(76684,8),(76685,9),(76686,3),(76687,2),(76688,1),(76689,9),(76690,2),(76691,2),(76692,4),(76693,7),(76694,3),(76695,4),(76696,8),(76697,7),(76698,1),(76699,5),(76700,6),(76701,7),(76702,6),(76703,2),(76704,7),(76705,8),(76706,6),(76707,9),(76708,5),(76709,7),(76710,5),(76711,8),(76712,7),(76713,2),(76714,1),(76715,3),(76716,7),(76717,2),(76718,5),(76719,4),(76720,2),(76721,6),(76722,9),(76723,5),(76724,2),(76725,1),(76726,6),(76727,1),(76728,7),(76729,8),(76730,3),(76731,3),(76732,3),(76733,8),(76734,4),(76735,4),(76736,1),(76737,5),(76738,8),(76739,2),(76740,3),(76741,9),(76742,5),(76743,5),(76744,3),(76745,6),(76746,7),(76747,3),(76748,9),(76749,2),(76750,7),(76751,7),(76752,4),(76753,3),(76754,7),(76755,9),(76756,3),(76757,7),(76758,2),(76759,9),(76760,8),(76761,2),(76762,7),(76763,7),(76764,9),(76765,4),(76766,3),(76767,8),(76768,5),(76769,2),(76770,5),(76771,4),(76772,9),(76773,9),(76774,5),(76775,3),(76776,5),(76777,7),(76778,2),(76779,2),(76780,1),(76781,2),(76782,3),(76783,5),(76784,7),(76785,3),(76786,1),(76787,1),(76788,8),(76789,1),(76790,5),(76791,3),(76792,1),(76793,9),(76794,5),(76795,3),(76796,7),(76797,8),(76798,7),(76799,1),(76800,2),(76801,5),(76802,4),(76803,5),(76804,4),(76805,8),(76806,6),(76807,4),(76808,5),(76809,3),(76810,9),(76811,4),(76812,5),(76813,6),(76814,7),(76815,4),(76816,6),(76817,4),(76818,4),(76819,9),(76820,3),(76821,6),(76822,9),(76823,2),(76824,8),(76825,2),(76826,1),(76827,4),(76828,9),(76829,4),(76830,3),(76831,1),(76832,3),(76833,2),(76834,3),(76835,7),(76836,6),(76837,3),(76838,8),(76839,8),(76840,9),(76841,8),(76842,8),(76843,5),(76844,5),(76845,4),(76846,2),(76847,7),(76848,7),(76849,1),(76850,3),(76851,3),(76852,6),(76853,3),(76854,3),(76855,7),(76856,7),(76857,7),(76858,1),(76859,6),(76860,3),(76861,9),(76862,9),(76863,7),(76864,2),(76865,8),(76866,8),(76867,8),(76868,6),(76869,5),(76870,8),(76871,5),(76872,4),(76873,6),(76874,5),(76875,4),(76876,3),(76877,5),(76878,2),(76879,8),(76880,5),(76881,8),(76882,8),(76883,4),(76884,4),(76885,9),(76886,3),(76887,8),(76888,4),(76889,7),(76890,2),(76891,7),(76892,8),(76893,2),(76894,8),(76895,8),(76896,3),(76897,5),(76898,6),(76899,1),(76900,5),(76901,5),(76902,4),(76903,3),(76904,1),(76905,9),(76906,8),(76907,4),(76908,5),(76909,4),(76910,2),(76911,5),(76912,2),(76913,9),(76914,8),(76915,1),(76916,6),(76917,9),(76918,6),(76919,2),(76920,5),(76921,6),(76922,3),(76923,3),(76924,8),(76925,2),(76926,9),(76927,7),(76928,2),(76929,5),(76930,7),(76931,2),(76932,6),(76933,7),(76934,7),(76935,9),(76936,3),(76937,6),(76938,1),(76939,1),(76940,2),(76941,8),(76942,3),(76943,6),(76944,3),(76945,4),(76946,9),(76947,3),(76948,4),(76949,2),(76950,9),(76951,4),(76952,3),(76953,8),(76954,5),(76955,7),(76956,4),(76957,2),(76958,7),(76959,5),(76960,2),(76961,1),(76962,5),(76963,6),(76964,9),(76965,8),(76966,5),(76967,7),(76968,4),(76969,8),(76970,7),(76971,8),(76972,9),(76973,9),(76974,1),(76975,9),(76976,1),(76977,7),(76978,8),(76979,6),(76980,7),(76981,8),(76982,3),(76983,9),(76984,9),(76985,7),(76986,4),(76987,2),(76988,5),(76989,1),(76990,8),(76991,7),(76992,5),(76993,1),(76994,7),(76995,1),(76996,3),(76997,1),(76998,7),(76999,2),(77000,8),(77001,9),(77002,4),(77003,1),(77004,8),(77005,6),(77006,1),(77007,9),(77008,6),(77009,7),(77010,9),(77011,2),(77012,8),(77013,7),(77014,5),(77015,6),(77016,4),(77017,1),(77018,6),(77019,2),(77020,6),(77021,5),(77022,8),(77023,3),(77024,7),(77025,6),(77026,6),(77027,2),(77028,7),(77029,1),(77030,1),(77031,6),(77032,2),(77033,8),(77034,9),(77035,9),(77036,5),(77037,4),(77038,8),(77039,4),(77040,9),(77041,8),(77042,8),(77043,7),(77044,1),(77045,7),(77046,8),(77047,1),(77048,9),(77049,2),(77050,9),(77051,4),(77052,5),(77053,1),(77054,3),(77055,5),(77056,4),(77057,4),(77058,9),(77059,7),(77060,7),(77061,8),(77062,7),(77063,7),(77064,9),(77065,6),(77066,3),(77067,1),(77068,8),(77069,3),(77070,3),(77071,8),(77072,1),(77073,7),(77074,8),(77075,4),(77076,4),(77077,2),(77078,1),(77079,8),(77080,6),(77081,3),(77082,9),(77083,1),(77084,8),(77085,8),(77086,7),(77087,3),(77088,2),(77089,5),(77090,3),(77091,7),(77092,1),(77093,7),(77094,1),(77095,5),(77096,8),(77097,3),(77098,2),(77099,1),(77100,7),(77101,2),(77102,7),(77103,4),(77104,9),(77105,8),(77106,3),(77107,5),(77108,4),(77109,2),(77110,2),(77111,1),(77112,8),(77113,6),(77114,5),(77115,6),(77116,3),(77117,8),(77118,5),(77119,5),(77120,2),(77121,7),(77122,5),(77123,5),(77124,3),(77125,5),(77126,4),(77127,8),(77128,7),(77129,1),(77130,2),(77131,6),(77132,4),(77133,1),(77134,1),(77135,3),(77136,2),(77137,3),(77138,4),(77139,4),(77140,1),(77141,2),(77142,4),(77143,5),(77144,7),(77145,1),(77146,9),(77147,3),(77148,6),(77149,4),(77150,1),(77151,9),(77152,6),(77153,5),(77154,5),(77155,2),(77156,3),(77157,2),(77158,1),(77159,3),(77160,1),(77161,4),(77162,9),(77163,9),(77164,1),(77165,1),(77166,2),(77167,2),(77168,6),(77169,3),(77170,2),(77171,9),(77172,1),(77173,2),(77174,4),(77175,3),(77176,7),(77177,3),(77178,9),(77179,1),(77180,7),(77181,9),(77182,4),(77183,2),(77184,8),(77185,4),(77186,7),(77187,3),(77188,4),(77189,1),(77190,5),(77191,7),(77192,1),(77193,3),(77194,4),(77195,3),(77196,1),(77197,9),(77198,7),(77199,7),(77200,6),(77201,2),(77202,8),(77203,2),(77204,9),(77205,3),(77206,7),(77207,1),(77208,3),(77209,8),(77210,4),(77211,1),(77212,7),(77213,5),(77214,5),(77215,5),(77216,4),(77217,1),(77218,7),(77219,7),(77220,1),(77221,6),(77222,5),(77223,4),(77224,8),(77225,4),(77226,7),(77227,1),(77228,3),(77229,4),(77230,1),(77231,7),(77232,1),(77233,3),(77234,9),(77235,4),(77236,7),(77237,1),(77238,4),(77239,4),(77240,6),(77241,6),(77242,4),(77243,2),(77244,4),(77245,5),(77246,2),(77247,3),(77248,1),(77249,3),(77250,9),(77251,6),(77252,1),(77253,2),(77254,6),(77255,1),(77256,6),(77257,5),(77258,9),(77259,6),(77260,1),(77261,2),(77262,2),(77263,9),(77264,3),(77265,9),(77266,1),(77267,6),(77268,7),(77269,4),(77270,9),(77271,5),(77272,7),(77273,1),(77274,8),(77275,3),(77276,4),(77277,6),(77278,5),(77279,5),(77280,4),(77281,8),(77282,1),(77283,9),(77284,2),(77285,1),(77286,4),(77287,4),(77288,6),(77289,1),(77290,3),(77291,8),(77292,4),(77293,4),(77294,5),(77295,8),(77296,9),(77297,3),(77298,1),(77299,1),(77300,5),(77301,5),(77302,5),(77303,5),(77304,7),(77305,9),(77306,4),(77307,6),(77308,5),(77309,6),(77310,5),(77311,2),(77312,6),(77313,5),(77314,1),(77315,2),(77316,9),(77317,7),(77318,5),(77319,1),(77320,6),(77321,5),(77322,6),(77323,3),(77324,3),(77325,1),(77326,3),(77327,5),(77328,3),(77329,8),(77330,1),(77331,3),(77332,2),(77333,1),(77334,4),(77335,1),(77336,2),(77337,8),(77338,7),(77339,9),(77340,5),(77341,7),(77342,1),(77343,1),(77344,8),(77345,4),(77346,8),(77347,8),(77348,3),(77349,4),(77350,3),(77351,2),(77352,1),(77353,2),(77354,3),(77355,6),(77356,9),(77357,1),(77358,5),(77359,9),(77360,7),(77361,5),(77362,3),(77363,3),(77364,8),(77365,1),(77366,6),(77367,3),(77368,1),(77369,4),(77370,6),(77371,6),(77372,9),(77373,8),(77374,1),(77375,3),(77376,1),(77377,1),(77378,4),(77379,6),(77380,2),(77381,5),(77382,6),(77383,9),(77384,6),(77385,4),(77386,4),(77387,7),(77388,7),(77389,6),(77390,3),(77391,1),(77392,3),(77393,5),(77394,6),(77395,6),(77396,1),(77397,8),(77398,6),(77399,3),(77400,2),(77401,1),(77402,2),(77403,9),(77404,7),(77405,8),(77406,9),(77407,8),(77408,7),(77409,8),(77410,8),(77411,1),(77412,7),(77413,2),(77414,1),(77415,6),(77416,1),(77417,9),(77418,6),(77419,3),(77420,1),(77421,9),(77422,5),(77423,6),(77424,9),(77425,1),(77426,7),(77427,5),(77428,4),(77429,5),(77430,9),(77431,8),(77432,8),(77433,7),(77434,5),(77435,4),(77436,8),(77437,9),(77438,7),(77439,5),(77440,6),(77441,7),(77442,2),(77443,3),(77444,7),(77445,2),(77446,9),(77447,8),(77448,4),(77449,5),(77450,3),(77451,5),(77452,7),(77453,8),(77454,6),(77455,8),(77456,2),(77457,6),(77458,6),(77459,5),(77460,7),(77461,2),(77462,5),(77463,7),(77464,7),(77465,2),(77466,8),(77467,1),(77468,3),(77469,8),(77470,5),(77471,7),(77472,2),(77473,4),(77474,3),(77475,1),(77476,9),(77477,3),(77478,6),(77479,4),(77480,3),(77481,7),(77482,4),(77483,5),(77484,4),(77485,3),(77486,6),(77487,6),(77488,3),(77489,9),(77490,3),(77491,9),(77492,2),(77493,5),(77494,6),(77495,3),(77496,8),(77497,6),(77498,6),(77499,8),(77500,5),(77501,3),(77502,5),(77503,8),(77504,7),(77505,1),(77506,6),(77507,7),(77508,8),(77509,8),(77510,7),(77511,4),(77512,9),(77513,4),(77514,7),(77515,6),(77516,6),(77517,9),(77518,3),(77519,9),(77520,5),(77521,3),(77522,4),(77523,7),(77524,8),(77525,6),(77526,7),(77527,9),(77528,2),(77529,5),(77530,3),(77531,8),(77532,1),(77533,2),(77534,2),(77535,1),(77536,4),(77537,7),(77538,6),(77539,4),(77540,7),(77541,6),(77542,1),(77543,1),(77544,8),(77545,1),(77546,3),(77547,2),(77548,2),(77549,1),(77550,7),(77551,1),(77552,4),(77553,4),(77554,7),(77555,4),(77556,5),(77557,2),(77558,5),(77559,1),(77560,5),(77561,3),(77562,2),(77563,4),(77564,5),(77565,5),(77566,7),(77567,3),(77568,4),(77569,1),(77570,1),(77571,3),(77572,4),(77573,8),(77574,2),(77575,5),(77576,8),(77577,2),(77578,3),(77579,3),(77580,4),(77581,6),(77582,7),(77583,7),(77584,9),(77585,2),(77586,5),(77587,7),(77588,8),(77589,9),(77590,5),(77591,1),(77592,1),(77593,5),(77594,2),(77595,7),(77596,2),(77597,6),(77598,5),(77599,3),(77600,6),(77601,3),(77602,6),(77603,3),(77604,5),(77605,2),(77606,2),(77607,4),(77608,4),(77609,3),(77610,7),(77611,5),(77612,2),(77613,2),(77614,7),(77615,4),(77616,1),(77617,9),(77618,4),(77619,8),(77620,8),(77621,7),(77622,9),(77623,3),(77624,7),(77625,3),(77626,6),(77627,3),(77628,5),(77629,2),(77630,9),(77631,8),(77632,7),(77633,5),(77634,9),(77635,4),(77636,8),(77637,4),(77638,9),(77639,8),(77640,3),(77641,1),(77642,2),(77643,5),(77644,8),(77645,8),(77646,4),(77647,6),(77648,2),(77649,7),(77650,3),(77651,5),(77652,4),(77653,4),(77654,7),(77655,3),(77656,8),(77657,7),(77658,5),(77659,7),(77660,8),(77661,4),(77662,5),(77663,2),(77664,9),(77665,7),(77666,3),(77667,6),(77668,6),(77669,2),(77670,6),(77671,1),(77672,6),(77673,6),(77674,3),(77675,9),(77676,5),(77677,7),(77678,7),(77679,6),(77680,6),(77681,9),(77682,3),(77683,1),(77684,4),(77685,8),(77686,6),(77687,2),(77688,2),(77689,1),(77690,3),(77691,2),(77692,2),(77693,4),(77694,3),(77695,7),(77696,2),(77697,5),(77698,7),(77699,7),(77700,7),(77701,1),(77702,3),(77703,6),(77704,9),(77705,8),(77706,1),(77707,7),(77708,4),(77709,4),(77710,4),(77711,6),(77712,3),(77713,2),(77714,7),(77715,2),(77716,7),(77717,8),(77718,1),(77719,1),(77720,9),(77721,4),(77722,6),(77723,5),(77724,2),(77725,3),(77726,2),(77727,3),(77728,9),(77729,1),(77730,4),(77731,4),(77732,1),(77733,3),(77734,1),(77735,7),(77736,8),(77737,1),(77738,2),(77739,7),(77740,9),(77741,2),(77742,1),(77743,8),(77744,9),(77745,2),(77746,9),(77747,7),(77748,7),(77749,4),(77750,2),(77751,9),(77752,4),(77753,5),(77754,9),(77755,5),(77756,3),(77757,3),(77758,3),(77759,1),(77760,2),(77761,2),(77762,1),(77763,2),(77764,4),(77765,2),(77766,6),(77767,3),(77768,9),(77769,6),(77770,6),(77771,4),(77772,7),(77773,9),(77774,1),(77775,8),(77776,8),(77777,2),(77778,9),(77779,6),(77780,7),(77781,3),(77782,5),(77783,1),(77784,9),(77785,8),(77786,9),(77787,1),(77788,9),(77789,9),(77790,4),(77791,7),(77792,1),(77793,3),(77794,2),(77795,6),(77796,8),(77797,8),(77798,6),(77799,3),(77800,5),(77801,2),(77802,3),(77803,7),(77804,2),(77805,8),(77806,5),(77807,6),(77808,5),(77809,4),(77810,4),(77811,9),(77812,4),(77813,7),(77814,6),(77815,6),(77816,3),(77817,8),(77818,1),(77819,4),(77820,1),(77821,2),(77822,5),(77823,4),(77824,6),(77825,8),(77826,1),(77827,3),(77828,4),(77829,4),(77830,2),(77831,6),(77832,2),(77833,5),(77834,9),(77835,5),(77836,7),(77837,5),(77838,2),(77839,7),(77840,5),(77841,5),(77842,8),(77843,7),(77844,7),(77845,2),(77846,1),(77847,1),(77848,6),(77849,4),(77850,7),(77851,4),(77852,3),(77853,4),(77854,1),(77855,2),(77856,1),(77857,5),(77858,2),(77859,9),(77860,2),(77861,4),(77862,8),(77863,9),(77864,1),(77865,4),(77866,9),(77867,9),(77868,5),(77869,7),(77870,1),(77871,1),(77872,1),(77873,4),(77874,5),(77875,7),(77876,5),(77877,3),(77878,2),(77879,9),(77880,7),(77881,1),(77882,6),(77883,3),(77884,2),(77885,7),(77886,4),(77887,8),(77888,2),(77889,9),(77890,3),(77891,4),(77892,9),(77893,3),(77894,2),(77895,7),(77896,6),(77897,6),(77898,6),(77899,1),(77900,2),(77901,5),(77902,2),(77903,7),(77904,7),(77905,9),(77906,4),(77907,8),(77908,7),(77909,3),(77910,1),(77911,9),(77912,6),(77913,1),(77914,3),(77915,4),(77916,5),(77917,5),(77918,9),(77919,2),(77920,6),(77921,6),(77922,3),(77923,1),(77924,4),(77925,6),(77926,3),(77927,2),(77928,7),(77929,1),(77930,6),(77931,3),(77932,1),(77933,6),(77934,7),(77935,6),(77936,1),(77937,3),(77938,3),(77939,7),(77940,6),(77941,7),(77942,8),(77943,8),(77944,5),(77945,2),(77946,1),(77947,9),(77948,1),(77949,9),(77950,8),(77951,3),(77952,2),(77953,9),(77954,4),(77955,4),(77956,7),(77957,6),(77958,9),(77959,1),(77960,2),(77961,4),(77962,5),(77963,7),(77964,3),(77965,5),(77966,3),(77967,2),(77968,5),(77969,5),(77970,6),(77971,7),(77972,9),(77973,6),(77974,6),(77975,9),(77976,8),(77977,9),(77978,8),(77979,9),(77980,8),(77981,5),(77982,5),(77983,6),(77984,5),(77985,3),(77986,6),(77987,3),(77988,2),(77989,9),(77990,3),(77991,6),(77992,8),(77993,1),(77994,1),(77995,1),(77996,3),(77997,1),(77998,6),(77999,3),(78000,7),(78001,9),(78002,2),(78003,6),(78004,5),(78005,3),(78006,7),(78007,3),(78008,5),(78009,7),(78010,9),(78011,3),(78012,5),(78013,6),(78014,4),(78015,4),(78016,3),(78017,9),(78018,3),(78019,3),(78020,9),(78021,2),(78022,7),(78023,8),(78024,3),(78025,5),(78026,1),(78027,3),(78028,6),(78029,7),(78030,3),(78031,7),(78032,5),(78033,7),(78034,2),(78035,1),(78036,7),(78037,4),(78038,5),(78039,9),(78040,8),(78041,1),(78042,7),(78043,9),(78044,2),(78045,4),(78046,5),(78047,7),(78048,3),(78049,1),(78050,1),(78051,8),(78052,7),(78053,4),(78054,3),(78055,8),(78056,5),(78057,6),(78058,3),(78059,6),(78060,3),(78061,6),(78062,5),(78063,8),(78064,8),(78065,3),(78066,5),(78067,7),(78068,3),(78069,5),(78070,9),(78071,4),(78072,9),(78073,1),(78074,7),(78075,3),(78076,1),(78077,2),(78078,1),(78079,7),(78080,8),(78081,6),(78082,4),(78083,7),(78084,1),(78085,9),(78086,3),(78087,6),(78088,6),(78089,1),(78090,1),(78091,4),(78092,4),(78093,8),(78094,1),(78095,8),(78096,7),(78097,3),(78098,9),(78099,5),(78100,4),(78101,2),(78102,9),(78103,8),(78104,9),(78105,7),(78106,1),(78107,1),(78108,7),(78109,1),(78110,1),(78111,6),(78112,3),(78113,7),(78114,6),(78115,3),(78116,5),(78117,8),(78118,3),(78119,5),(78120,6),(78121,9),(78122,1),(78123,6),(78124,8),(78125,7),(78126,7),(78127,2),(78128,5),(78129,4),(78130,1),(78131,5),(78132,7),(78133,3),(78134,7),(78135,7),(78136,5),(78137,8),(78138,8),(78139,6),(78140,4),(78141,4),(78142,6),(78143,7),(78144,8),(78145,4),(78146,6),(78147,4),(78148,7),(78149,4),(78150,5),(78151,5),(78152,2),(78153,4),(78154,6),(78155,4),(78156,2),(78157,4),(78158,3),(78159,6),(78160,2),(78161,9),(78162,2),(78163,2),(78164,9),(78165,1),(78166,4),(78167,6),(78168,4),(78169,4),(78170,6),(78171,4),(78172,4),(78173,2),(78174,2),(78175,2),(78176,4),(78177,4),(78178,8),(78179,9),(78180,1),(78181,2),(78182,3),(78183,6),(78184,7),(78185,5),(78186,7),(78187,9),(78188,9),(78189,3),(78190,4),(78191,4),(78192,9),(78193,5),(78194,6),(78195,6),(78196,8),(78197,9),(78198,9),(78199,7),(78200,7),(78201,4),(78202,4),(78203,3),(78204,7),(78205,6),(78206,7),(78207,1),(78208,8),(78209,2),(78210,1),(78211,8),(78212,7),(78213,8),(78214,9),(78215,7),(78216,4),(78217,4),(78218,8),(78219,2),(78220,9),(78221,3),(78222,3),(78223,3),(78224,3),(78225,1),(78226,2),(78227,5),(78228,2),(78229,3),(78230,5),(78231,4),(78232,1),(78233,1),(78234,3),(78235,4),(78236,9),(78237,1),(78238,3),(78239,4),(78240,1),(78241,4),(78242,4),(78243,5),(78244,3),(78245,8),(78246,2),(78247,3),(78248,2),(78249,8),(78250,5),(78251,3),(78252,3),(78253,6),(78254,9),(78255,5),(78256,5),(78257,2),(78258,2),(78259,1),(78260,8),(78261,2),(78262,6),(78263,4),(78264,4),(78265,1),(78266,3),(78267,4),(78268,9),(78269,8),(78270,1),(78271,3),(78272,8),(78273,7),(78274,7),(78275,9),(78276,2),(78277,7),(78278,7),(78279,4),(78280,2),(78281,3),(78282,7),(78283,5),(78284,1),(78285,2),(78286,9),(78287,8),(78288,3),(78289,9),(78290,8),(78291,3),(78292,5),(78293,9),(78294,1),(78295,1),(78296,7),(78297,9),(78298,3),(78299,5),(78300,5),(78301,4),(78302,1),(78303,6),(78304,9),(78305,1),(78306,5),(78307,3),(78308,6),(78309,7),(78310,8),(78311,9),(78312,4),(78313,2),(78314,3),(78315,6),(78316,2),(78317,2),(78318,8),(78319,9),(78320,8),(78321,4),(78322,4),(78323,1),(78324,6),(78325,2),(78326,4),(78327,6),(78328,6),(78329,9),(78330,8),(78331,5),(78332,8),(78333,1),(78334,2),(78335,4),(78336,5),(78337,1),(78338,9),(78339,1),(78340,4),(78341,1),(78342,1),(78343,4),(78344,9),(78345,6),(78346,1),(78347,7),(78348,1),(78349,7),(78350,9),(78351,3),(78352,3),(78353,4),(78354,5),(78355,6),(78356,4),(78357,2),(78358,5),(78359,7),(78360,5),(78361,7),(78362,8),(78363,2),(78364,4),(78365,5),(78366,1),(78367,8),(78368,4),(78369,9),(78370,6),(78371,6),(78372,7),(78373,5),(78374,8),(78375,8),(78376,2),(78377,7),(78378,3),(78379,8),(78380,1),(78381,3),(78382,8),(78383,3),(78384,7),(78385,3),(78386,9),(78387,5),(78388,4),(78389,6),(78390,9),(78391,1),(78392,3),(78393,7),(78394,3),(78395,2),(78396,9),(78397,2),(78398,4),(78399,3),(78400,3),(78401,3),(78402,4),(78403,3),(78404,2),(78405,3),(78406,2),(78407,4),(78408,8),(78409,1),(78410,4),(78411,7),(78412,9),(78413,6),(78414,3),(78415,6),(78416,7),(78417,4),(78418,8),(78419,1),(78420,8),(78421,2),(78422,5),(78423,3),(78424,2),(78425,5),(78426,2),(78427,4),(78428,7),(78429,1),(78430,9),(78431,2),(78432,5),(78433,8),(78434,5),(78435,9),(78436,1),(78437,1),(78438,2),(78439,7),(78440,1),(78441,6),(78442,9),(78443,2),(78444,3),(78445,9),(78446,3),(78447,9),(78448,6),(78449,7),(78450,4),(78451,4),(78452,9),(78453,3),(78454,9),(78455,5),(78456,4),(78457,9),(78458,4),(78459,9),(78460,5),(78461,1),(78462,5),(78463,4),(78464,1),(78465,7),(78466,2),(78467,6),(78468,2),(78469,7),(78470,8),(78471,5),(78472,9),(78473,9),(78474,6),(78475,5),(78476,9),(78477,4),(78478,6),(78479,7),(78480,1),(78481,5),(78482,8),(78483,2),(78484,2),(78485,5),(78486,4),(78487,7),(78488,9),(78489,6),(78490,8),(78491,7),(78492,3),(78493,6),(78494,8),(78495,7),(78496,7),(78497,6),(78498,9),(78499,8),(78500,2),(78501,4),(78502,4),(78503,2),(78504,9),(78505,4),(78506,5),(78507,2),(78508,8),(78509,1),(78510,5),(78511,1),(78512,2),(78513,4),(78514,8),(78515,9),(78516,7),(78517,9),(78518,6),(78519,7),(78520,2),(78521,5),(78522,5),(78523,1),(78524,6),(78525,7),(78526,5),(78527,1),(78528,7),(78529,8),(78530,8),(78531,4),(78532,8),(78533,1),(78534,6),(78535,7),(78536,9),(78537,9),(78538,3),(78539,4),(78540,6),(78541,6),(78542,5),(78543,1),(78544,2),(78545,9),(78546,3),(78547,5),(78548,3),(78549,2),(78550,7),(78551,5),(78552,7),(78553,4),(78554,6),(78555,8),(78556,8),(78557,4),(78558,2),(78559,5),(78560,1),(78561,8),(78562,3),(78563,6),(78564,5),(78565,1),(78566,4),(78567,3),(78568,7),(78569,2),(78570,3),(78571,3),(78572,7),(78573,1),(78574,1),(78575,9),(78576,5),(78577,8),(78578,8),(78579,1),(78580,2),(78581,2),(78582,5),(78583,3),(78584,5),(78585,4),(78586,7),(78587,2),(78588,4),(78589,7),(78590,8),(78591,1),(78592,4),(78593,5),(78594,4),(78595,5),(78596,6),(78597,1),(78598,7),(78599,2),(78600,6),(78601,7),(78602,2),(78603,1),(78604,1),(78605,1),(78606,9),(78607,5),(78608,2),(78609,7),(78610,4),(78611,6),(78612,8),(78613,6),(78614,3),(78615,9),(78616,7),(78617,5),(78618,2),(78619,6),(78620,1),(78621,2),(78622,8),(78623,3),(78624,4),(78625,2),(78626,9),(78627,9),(78628,7),(78629,5),(78630,5),(78631,8),(78632,1),(78633,8),(78634,3),(78635,4),(78636,4),(78637,3),(78638,9),(78639,4),(78640,3),(78641,2),(78642,4),(78643,8),(78644,4),(78645,1),(78646,8),(78647,2),(78648,7),(78649,1),(78650,5),(78651,4),(78652,4),(78653,4),(78654,3),(78655,3),(78656,5),(78657,6),(78658,4),(78659,3),(78660,2),(78661,1),(78662,2),(78663,6),(78664,5),(78665,8),(78666,5),(78667,1),(78668,2),(78669,6),(78670,7),(78671,9),(78672,6),(78673,7),(78674,5),(78675,6),(78676,6),(78677,7),(78678,8),(78679,2),(78680,8),(78681,2),(78682,2),(78683,5),(78684,7),(78685,6),(78686,5),(78687,5),(78688,6),(78689,7),(78690,4),(78691,4),(78692,2),(78693,4),(78694,9),(78695,9),(78696,8),(78697,3),(78698,5),(78699,4),(78700,9),(78701,7),(78702,1),(78703,7),(78704,9),(78705,3),(78706,8),(78707,3),(78708,3),(78709,1),(78710,1),(78711,6),(78712,1),(78713,6),(78714,5),(78715,3),(78716,2),(78717,3),(78718,7),(78719,8),(78720,7),(78721,8),(78722,5),(78723,5),(78724,8),(78725,6),(78726,3),(78727,2),(78728,8),(78729,3),(78730,3),(78731,4),(78732,8),(78733,9),(78734,1),(78735,2),(78736,7),(78737,6),(78738,8),(78739,3),(78740,8),(78741,5),(78742,9),(78743,8),(78744,2),(78745,6),(78746,1),(78747,8),(78748,2),(78749,6),(78750,4),(78751,8),(78752,1),(78753,4),(78754,7),(78755,4),(78756,9),(78757,2),(78758,5),(78759,3),(78760,9),(78761,7),(78762,9),(78763,9),(78764,4),(78765,2),(78766,4),(78767,1),(78768,3),(78769,3),(78770,5),(78771,2),(78772,1),(78773,8),(78774,6),(78775,3),(78776,2),(78777,4),(78778,1),(78779,4),(78780,2),(78781,6),(78782,4),(78783,6),(78784,5),(78785,5),(78786,5),(78787,3),(78788,4),(78789,4),(78790,3),(78791,7),(78792,4),(78793,2),(78794,2),(78795,6),(78796,4),(78797,6),(78798,3),(78799,1),(78800,6),(78801,4),(78802,8),(78803,2),(78804,9),(78805,9),(78806,1),(78807,1),(78808,8),(78809,7),(78810,8),(78811,6),(78812,5),(78813,5),(78814,9),(78815,6),(78816,6),(78817,7),(78818,6),(78819,6),(78820,8),(78821,9),(78822,2),(78823,2),(78824,1),(78825,3),(78826,9),(78827,5),(78828,1),(78829,6),(78830,5),(78831,4),(78832,9),(78833,8),(78834,9),(78835,9),(78836,1),(78837,4),(78838,7),(78839,9),(78840,5),(78841,9),(78842,9),(78843,4),(78844,2),(78845,3),(78846,9),(78847,8),(78848,4),(78849,9),(78850,1),(78851,4),(78852,4),(78853,7),(78854,9),(78855,2),(78856,3),(78857,3),(78858,9),(78859,1),(78860,9),(78861,3),(78862,9),(78863,3),(78864,3),(78865,4),(78866,9),(78867,8),(78868,1),(78869,3),(78870,2),(78871,1),(78872,2),(78873,8),(78874,9),(78875,7),(78876,3),(78877,3),(78878,3),(78879,7),(78880,4),(78881,7),(78882,8),(78883,4),(78884,9),(78885,2),(78886,9),(78887,6),(78888,9),(78889,9),(78890,9),(78891,9),(78892,8),(78893,8),(78894,1),(78895,1),(78896,3),(78897,2),(78898,6),(78899,6),(78900,6),(78901,7),(78902,9),(78903,7),(78904,6),(78905,3),(78906,9),(78907,4),(78908,6),(78909,5),(78910,5),(78911,8),(78912,7),(78913,7),(78914,4),(78915,1),(78916,4),(78917,8),(78918,3),(78919,4),(78920,2),(78921,5),(78922,7),(78923,6),(78924,3),(78925,8),(78926,4),(78927,4),(78928,9),(78929,3),(78930,8),(78931,3),(78932,9),(78933,2),(78934,5),(78935,5),(78936,7),(78937,4),(78938,7),(78939,8),(78940,7),(78941,5),(78942,7),(78943,8),(78944,6),(78945,5),(78946,5),(78947,5),(78948,1),(78949,4),(78950,7),(78951,9),(78952,3),(78953,9),(78954,4),(78955,4),(78956,2),(78957,5),(78958,2),(78959,6),(78960,1),(78961,2),(78962,8),(78963,3),(78964,1),(78965,2),(78966,3),(78967,1),(78968,3),(78969,7),(78970,9),(78971,6),(78972,7),(78973,4),(78974,3),(78975,4),(78976,2),(78977,3),(78978,1),(78979,5),(78980,8),(78981,4),(78982,9),(78983,4),(78984,2),(78985,4),(78986,6),(78987,2),(78988,4),(78989,3),(78990,1),(78991,1),(78992,5),(78993,9),(78994,9),(78995,9),(78996,1),(78997,1),(78998,3),(78999,6),(79000,8),(79001,2),(79002,2),(79003,6),(79004,6),(79005,9),(79006,2),(79007,7),(79008,9),(79009,2),(79010,2),(79011,5),(79012,6),(79013,6),(79014,9),(79015,7),(79016,7),(79017,2),(79018,2),(79019,8),(79020,4),(79021,7),(79022,5),(79023,1),(79024,8),(79025,6),(79026,9),(79027,5),(79028,1),(79029,6),(79030,7),(79031,6),(79032,1),(79033,5),(79034,6),(79035,1),(79036,2),(79037,2),(79038,8),(79039,5),(79040,9),(79041,8),(79042,4),(79043,8),(79044,8),(79045,3),(79046,3),(79047,5),(79048,3),(79049,8),(79050,3),(79051,5),(79052,6),(79053,5),(79054,3),(79055,7),(79056,3),(79057,2),(79058,2),(79059,4),(79060,5),(79061,2),(79062,1),(79063,4),(79064,9),(79065,4),(79066,6),(79067,1),(79068,8),(79069,3),(79070,9),(79071,9),(79072,3),(79073,6),(79074,6),(79075,4),(79076,9),(79077,9),(79078,9),(79079,8),(79080,8),(79081,7),(79082,6),(79083,9),(79084,7),(79085,2),(79086,2),(79087,8),(79088,1),(79089,3),(79090,3),(79091,6),(79092,6),(79093,5),(79094,2),(79095,2),(79096,7),(79097,7),(79098,8),(79099,5),(79100,7),(79101,1),(79102,2),(79103,4),(79104,8),(79105,5),(79106,4),(79107,1),(79108,3),(79109,2),(79110,1),(79111,9),(79112,3),(79113,4),(79114,5),(79115,9),(79116,5),(79117,1),(79118,6),(79119,6),(79120,5),(79121,6),(79122,3),(79123,2),(79124,9),(79125,9),(79126,3),(79127,5),(79128,5),(79129,5),(79130,7),(79131,2),(79132,6),(79133,1),(79134,4),(79135,3),(79136,4),(79137,3),(79138,2),(79139,1),(79140,8),(79141,5),(79142,5),(79143,2),(79144,9),(79145,1),(79146,5),(79147,9),(79148,9),(79149,4),(79150,5),(79151,2),(79152,8),(79153,4),(79154,7),(79155,3),(79156,3),(79157,9),(79158,9),(79159,1),(79160,1),(79161,3),(79162,9),(79163,9),(79164,7),(79165,4),(79166,8),(79167,4),(79168,4),(79169,1),(79170,3),(79171,5),(79172,9),(79173,2),(79174,5),(79175,8),(79176,6),(79177,7),(79178,5),(79179,9),(79180,7),(79181,6),(79182,5),(79183,2),(79184,5),(79185,6),(79186,8),(79187,5),(79188,6),(79189,1),(79190,8),(79191,6),(79192,7),(79193,7),(79194,4),(79195,2),(79196,7),(79197,5),(79198,5),(79199,1),(79200,3),(79201,8),(79202,5),(79203,4),(79204,2),(79205,4),(79206,1),(79207,2),(79208,7),(79209,3),(79210,3),(79211,6),(79212,4),(79213,1),(79214,5),(79215,4),(79216,8),(79217,7),(79218,1),(79219,4),(79220,4),(79221,8),(79222,8),(79223,3),(79224,8),(79225,6),(79226,5),(79227,1),(79228,1),(79229,9),(79230,6),(79231,1),(79232,9),(79233,6),(79234,6),(79235,8),(79236,8),(79237,2),(79238,8),(79239,7),(79240,6),(79241,9),(79242,7),(79243,8),(79244,6),(79245,3),(79246,5),(79247,4),(79248,6),(79249,5),(79250,1),(79251,1),(79252,2),(79253,4),(79254,7),(79255,1),(79256,6),(79257,6),(79258,4),(79259,3),(79260,1),(79261,9),(79262,9),(79263,6),(79264,4),(79265,9),(79266,7),(79267,2),(79268,6),(79269,2),(79270,1),(79271,9),(79272,6),(79273,1),(79274,7),(79275,5),(79276,8),(79277,6),(79278,6),(79279,3),(79280,3),(79281,8),(79282,3),(79283,8),(79284,9),(79285,3),(79286,5),(79287,7),(79288,2),(79289,3),(79290,9),(79291,9),(79292,1),(79293,7),(79294,5),(79295,6),(79296,6),(79297,4),(79298,4),(79299,8),(79300,8),(79301,5),(79302,6),(79303,3),(79304,1),(79305,5),(79306,2),(79307,8),(79308,7),(79309,5),(79310,5),(79311,3),(79312,9),(79313,5),(79314,3),(79315,7),(79316,3),(79317,1),(79318,1),(79319,4),(79320,2),(79321,5),(79322,2),(79323,4),(79324,4),(79325,8),(79326,7),(79327,3),(79328,7),(79329,9),(79330,7),(79331,4),(79332,5),(79333,4),(79334,8),(79335,6),(79336,4),(79337,2),(79338,9),(79339,3),(79340,7),(79341,2),(79342,4),(79343,4),(79344,5),(79345,3),(79346,5),(79347,3),(79348,7),(79349,7),(79350,9),(79351,7),(79352,8),(79353,4),(79354,7),(79355,2),(79356,9),(79357,2),(79358,7),(79359,9),(79360,5),(79361,5),(79362,2),(79363,7),(79364,9),(79365,6),(79366,5),(79367,1),(79368,6),(79369,2),(79370,6),(79371,8),(79372,4),(79373,3),(79374,8),(79375,8),(79376,8),(79377,2),(79378,2),(79379,3),(79380,8),(79381,6),(79382,4),(79383,8),(79384,6),(79385,1),(79386,6),(79387,4),(79388,8),(79389,6),(79390,6),(79391,4),(79392,6),(79393,3),(79394,7),(79395,1),(79396,3),(79397,2),(79398,9),(79399,3),(79400,5),(79401,6),(79402,8),(79403,5),(79404,6),(79405,7),(79406,4),(79407,4),(79408,8),(79409,3),(79410,8),(79411,1),(79412,6),(79413,6),(79414,2),(79415,4),(79416,1),(79417,7),(79418,5),(79419,8),(79420,2),(79421,5),(79422,9),(79423,1),(79424,2),(79425,2),(79426,3),(79427,9),(79428,6),(79429,6),(79430,2),(79431,9),(79432,5),(79433,1),(79434,8),(79435,4),(79436,9),(79437,3),(79438,2),(79439,8),(79440,1),(79441,2),(79442,6),(79443,1),(79444,8),(79445,9),(79446,4),(79447,1),(79448,9),(79449,7),(79450,3),(79451,9),(79452,8),(79453,3),(79454,2),(79455,1),(79456,1),(79457,2),(79458,8),(79459,9),(79460,1),(79461,9),(79462,7),(79463,3),(79464,6),(79465,7),(79466,2),(79467,6),(79468,5),(79469,3),(79470,2),(79471,5),(79472,6),(79473,8),(79474,2),(79475,6),(79476,2),(79477,5),(79478,1),(79479,8),(79480,8),(79481,4),(79482,1),(79483,1),(79484,8),(79485,6),(79486,6),(79487,2),(79488,1),(79489,2),(79490,8),(79491,9),(79492,1),(79493,2),(79494,5),(79495,7),(79496,3),(79497,1),(79498,7),(79499,9),(79500,9),(79501,5),(79502,8),(79503,1),(79504,5),(79505,3),(79506,7),(79507,8),(79508,5),(79509,2),(79510,4),(79511,7),(79512,4),(79513,1),(79514,6),(79515,9),(79516,8),(79517,3),(79518,5),(79519,8),(79520,1),(79521,5),(79522,6),(79523,5),(79524,8),(79525,3),(79526,6),(79527,7),(79528,7),(79529,4),(79530,4),(79531,9),(79532,4),(79533,3),(79534,7),(79535,1),(79536,7),(79537,5),(79538,5),(79539,7),(79540,7),(79541,6),(79542,3),(79543,8),(79544,5),(79545,5),(79546,7),(79547,9),(79548,1),(79549,6),(79550,5),(79551,1),(79552,5),(79553,1),(79554,8),(79555,2),(79556,6),(79557,3),(79558,6),(79559,2),(79560,3),(79561,9),(79562,3),(79563,4),(79564,5),(79565,3),(79566,1),(79567,9),(79568,4),(79569,2),(79570,6),(79571,3),(79572,2),(79573,9),(79574,3),(79575,4),(79576,3),(79577,2),(79578,3),(79579,6),(79580,3),(79581,2),(79582,6),(79583,8),(79584,1),(79585,3),(79586,9),(79587,5),(79588,2),(79589,2),(79590,7),(79591,4),(79592,4),(79593,9),(79594,5),(79595,8),(79596,6),(79597,6),(79598,8),(79599,9),(79600,8),(79601,4),(79602,3),(79603,2),(79604,6),(79605,7),(79606,4),(79607,4),(79608,4),(79609,1),(79610,7),(79611,3),(79612,6),(79613,2),(79614,9),(79615,8),(79616,1),(79617,8),(79618,3),(79619,6),(79620,2),(79621,6),(79622,2),(79623,1),(79624,6),(79625,6),(79626,7),(79627,9),(79628,8),(79629,5),(79630,1),(79631,5),(79632,2),(79633,6),(79634,4),(79635,4),(79636,7),(79637,8),(79638,8),(79639,7),(79640,2),(79641,5),(79642,3),(79643,2),(79644,9),(79645,3),(79646,7),(79647,4),(79648,8),(79649,9),(79650,3),(79651,8),(79652,9),(79653,6),(79654,1),(79655,8),(79656,8),(79657,5),(79658,1),(79659,8),(79660,4),(79661,8),(79662,9),(79663,7),(79664,9),(79665,5),(79666,4),(79667,5),(79668,7),(79669,4),(79670,1),(79671,8),(79672,3),(79673,6),(79674,6),(79675,8),(79676,1),(79677,1),(79678,5),(79679,9),(79680,9),(79681,1),(79682,1),(79683,3),(79684,4),(79685,2),(79686,9),(79687,5),(79688,4),(79689,4),(79690,3),(79691,7),(79692,6),(79693,3),(79694,1),(79695,3),(79696,8),(79697,2),(79698,5),(79699,7),(79700,2),(79701,2),(79702,7),(79703,9),(79704,6),(79705,5),(79706,8),(79707,6),(79708,6),(79709,8),(79710,2),(79711,7),(79712,6),(79713,3),(79714,1),(79715,9),(79716,8),(79717,2),(79718,6),(79719,2),(79720,1),(79721,7),(79722,3),(79723,5),(79724,4),(79725,8),(79726,8),(79727,1),(79728,9),(79729,6),(79730,5),(79731,2),(79732,7),(79733,8),(79734,8),(79735,3),(79736,1),(79737,5),(79738,5),(79739,3),(79740,3),(79741,6),(79742,1),(79743,9),(79744,5),(79745,7),(79746,2),(79747,8),(79748,6),(79749,6),(79750,5),(79751,9),(79752,9),(79753,4),(79754,6),(79755,9),(79756,2),(79757,9),(79758,1),(79759,9),(79760,5),(79761,2),(79762,5),(79763,2),(79764,1),(79765,2),(79766,8),(79767,9),(79768,6),(79769,4),(79770,7),(79771,1),(79772,1),(79773,4),(79774,9),(79775,5),(79776,8),(79777,8),(79778,6),(79779,7),(79780,1),(79781,2),(79782,1),(79783,3),(79784,2),(79785,3),(79786,3),(79787,6),(79788,3),(79789,5),(79790,8),(79791,5),(79792,9),(79793,9),(79794,4),(79795,3),(79796,7),(79797,6),(79798,9),(79799,9),(79800,9),(79801,6),(79802,5),(79803,8),(79804,1),(79805,5),(79806,3),(79807,7),(79808,5),(79809,1),(79810,9),(79811,1),(79812,7),(79813,1),(79814,4),(79815,1),(79816,6),(79817,2),(79818,5),(79819,5),(79820,5),(79821,5),(79822,5),(79823,7),(79824,4),(79825,5),(79826,4),(79827,2),(79828,7),(79829,3),(79830,4),(79831,1),(79832,7),(79833,7),(79834,6),(79835,2),(79836,8),(79837,4),(79838,7),(79839,6),(79840,3),(79841,9),(79842,1),(79843,7),(79844,1),(79845,8),(79846,3),(79847,1),(79848,4),(79849,2),(79850,5),(79851,4),(79852,9),(79853,1),(79854,5),(79855,5),(79856,8),(79857,8),(79858,7),(79859,5),(79860,5),(79861,8),(79862,4),(79863,5),(79864,1),(79865,6),(79866,2),(79867,6),(79868,2),(79869,3),(79870,8),(79871,2),(79872,2),(79873,3),(79874,7),(79875,2),(79876,9),(79877,7),(79878,4),(79879,1),(79880,7),(79881,3),(79882,5),(79883,2),(79884,4),(79885,9),(79886,9),(79887,4),(79888,1),(79889,4),(79890,2),(79891,4),(79892,3),(79893,9),(79894,9),(79895,5),(79896,1),(79897,7),(79898,4),(79899,6),(79900,6),(79901,9),(79902,2),(79903,6),(79904,2),(79905,3),(79906,1),(79907,6),(79908,2),(79909,3),(79910,2),(79911,9),(79912,4),(79913,1),(79914,9),(79915,3),(79916,2),(79917,9),(79918,2),(79919,2),(79920,9),(79921,3),(79922,9),(79923,8),(79924,1),(79925,8),(79926,1),(79927,2),(79928,4),(79929,4),(79930,6),(79931,9),(79932,8),(79933,3),(79934,9),(79935,7),(79936,3),(79937,1),(79938,7),(79939,8),(79940,1),(79941,6),(79942,4),(79943,1),(79944,2),(79945,4),(79946,3),(79947,4),(79948,1),(79949,5),(79950,7),(79951,7),(79952,7),(79953,8),(79954,1),(79955,5),(79956,9),(79957,3),(79958,3),(79959,9),(79960,9),(79961,4),(79962,4),(79963,8),(79964,6),(79965,9),(79966,4),(79967,9),(79968,1),(79969,2),(79970,3),(79971,8),(79972,1),(79973,1),(79974,4),(79975,6),(79976,9),(79977,4),(79978,7),(79979,2),(79980,4),(79981,1),(79982,9),(79983,6),(79984,2),(79985,5),(79986,6),(79987,7),(79988,9),(79989,5),(79990,7),(79991,3),(79992,4),(79993,7),(79994,5),(79995,2),(79996,6),(79997,4),(79998,7),(79999,9),(80000,9),(80001,3),(80002,8),(80003,7),(80004,1),(80005,6),(80006,9),(80007,5),(80008,9),(80009,1),(80010,7),(80011,8),(80012,9),(80013,1),(80014,3),(80015,4),(80016,5),(80017,3),(80018,5),(80019,3),(80020,3),(80021,6),(80022,4),(80023,3),(80024,3),(80025,6),(80026,4),(80027,6),(80028,7),(80029,6),(80030,2),(80031,1),(80032,1),(80033,5),(80034,6),(80035,3),(80036,1),(80037,9),(80038,1),(80039,8),(80040,9),(80041,5),(80042,9),(80043,7),(80044,1),(80045,2),(80046,2),(80047,9),(80048,5),(80049,7),(80050,3),(80051,6),(80052,8),(80053,5),(80054,2),(80055,8),(80056,9),(80057,3),(80058,9),(80059,9),(80060,3),(80061,3),(80062,8),(80063,9),(80064,4),(80065,7),(80066,4),(80067,4),(80068,3),(80069,2),(80070,2),(80071,2),(80072,4),(80073,5),(80074,9),(80075,7),(80076,7),(80077,5),(80078,9),(80079,6),(80080,5),(80081,5),(80082,5),(80083,5),(80084,1),(80085,1),(80086,4),(80087,6),(80088,1),(80089,9),(80090,4),(80091,6),(80092,2),(80093,1),(80094,6),(80095,9),(80096,3),(80097,4),(80098,3),(80099,7),(80100,7),(80101,3),(80102,5),(80103,9),(80104,6),(80105,3),(80106,2),(80107,1),(80108,5),(80109,1),(80110,4),(80111,2),(80112,2),(80113,9),(80114,9),(80115,7),(80116,1),(80117,6),(80118,9),(80119,1),(80120,2),(80121,8),(80122,5),(80123,5),(80124,7),(80125,5),(80126,2),(80127,2),(80128,2),(80129,7),(80130,1),(80131,1),(80132,9),(80133,8),(80134,8),(80135,9),(80136,9),(80137,9),(80138,4),(80139,2),(80140,7),(80141,2),(80142,6),(80143,4),(80144,7),(80145,6),(80146,2),(80147,8),(80148,2),(80149,5),(80150,6),(80151,5),(80152,5),(80153,8),(80154,1),(80155,5),(80156,6),(80157,5),(80158,6),(80159,7),(80160,4),(80161,1),(80162,1),(80163,4),(80164,8),(80165,8),(80166,9),(80167,6),(80168,1),(80169,7),(80170,8),(80171,4),(80172,9),(80173,4),(80174,2),(80175,8),(80176,4),(80177,2),(80178,9),(80179,6),(80180,2),(80181,8),(80182,7),(80183,6),(80184,4),(80185,7),(80186,1),(80187,1),(80188,6),(80189,2),(80190,3),(80191,7),(80192,6),(80193,9),(80194,4),(80195,9),(80196,7),(80197,7),(80198,6),(80199,8),(80200,9),(80201,9),(80202,4),(80203,3),(80204,2),(80205,5),(80206,6),(80207,9),(80208,4),(80209,9),(80210,6),(80211,2),(80212,3),(80213,4),(80214,1),(80215,5),(80216,9),(80217,6),(80218,2),(80219,2),(80220,4),(80221,5),(80222,6),(80223,8),(80224,7),(80225,4),(80226,3),(80227,7),(80228,6),(80229,5),(80230,4),(80231,9),(80232,2),(80233,3),(80234,4),(80235,4),(80236,4),(80237,9),(80238,2),(80239,9),(80240,2),(80241,3),(80242,6),(80243,1),(80244,4),(80245,4),(80246,2),(80247,7),(80248,1),(80249,2),(80250,8),(80251,3),(80252,6),(80253,3),(80254,6),(80255,3),(80256,6),(80257,4),(80258,4),(80259,5),(80260,1),(80261,2),(80262,7),(80263,2),(80264,5),(80265,7),(80266,3),(80267,5),(80268,5),(80269,4),(80270,2),(80271,3),(80272,1),(80273,9),(80274,6),(80275,8),(80276,1),(80277,9),(80278,7),(80279,8),(80280,9),(80281,2),(80282,9),(80283,9),(80284,6),(80285,2),(80286,2),(80287,2),(80288,3),(80289,3),(80290,9),(80291,1),(80292,8),(80293,1),(80294,2),(80295,1),(80296,1),(80297,6),(80298,6),(80299,7),(80300,6),(80301,9),(80302,7),(80303,7),(80304,5),(80305,4),(80306,3),(80307,8),(80308,7),(80309,2),(80310,4),(80311,3),(80312,3),(80313,7),(80314,9),(80315,2),(80316,8),(80317,8),(80318,5),(80319,8),(80320,7),(80321,8),(80322,6),(80323,9),(80324,9),(80325,6),(80326,8),(80327,3),(80328,8),(80329,6),(80330,5),(80331,7),(80332,6),(80333,4),(80334,8),(80335,4),(80336,1),(80337,9),(80338,7),(80339,2),(80340,6),(80341,5),(80342,9),(80343,6),(80344,2),(80345,3),(80346,2),(80347,7),(80348,4),(80349,1),(80350,5),(80351,6),(80352,2),(80353,3),(80354,6),(80355,4),(80356,7),(80357,5),(80358,1),(80359,7),(80360,2),(80361,2),(80362,3),(80363,8),(80364,7),(80365,4),(80366,9),(80367,8),(80368,3),(80369,8),(80370,2),(80371,8),(80372,1),(80373,8),(80374,8),(80375,4),(80376,2),(80377,1),(80378,3),(80379,9),(80380,6),(80381,4),(80382,3),(80383,5),(80384,9),(80385,3),(80386,8),(80387,4),(80388,1),(80389,4),(80390,6),(80391,6),(80392,6),(80393,7),(80394,1),(80395,6),(80396,5),(80397,7),(80398,2),(80399,6),(80400,9),(80401,5),(80402,8),(80403,4),(80404,6),(80405,7),(80406,7),(80407,1),(80408,7),(80409,5),(80410,6),(80411,6),(80412,3),(80413,2),(80414,9),(80415,5),(80416,4),(80417,6),(80418,8),(80419,7),(80420,6),(80421,6),(80422,4),(80423,8),(80424,3),(80425,7),(80426,2),(80427,1),(80428,8),(80429,1),(80430,5),(80431,4),(80432,9),(80433,6),(80434,4),(80435,8),(80436,6),(80437,7),(80438,2),(80439,8),(80440,3),(80441,9),(80442,6),(80443,9),(80444,4),(80445,2),(80446,3),(80447,7),(80448,3),(80449,1),(80450,3),(80451,7),(80452,1),(80453,2),(80454,3),(80455,8),(80456,7),(80457,2),(80458,5),(80459,3),(80460,6),(80461,3),(80462,1),(80463,6),(80464,8),(80465,6),(80466,4),(80467,7),(80468,4),(80469,7),(80470,3),(80471,5),(80472,2),(80473,6),(80474,7),(80475,1),(80476,8),(80477,7),(80478,1),(80479,7),(80480,9),(80481,8),(80482,3),(80483,4),(80484,8),(80485,1),(80486,6),(80487,8),(80488,9),(80489,8),(80490,2),(80491,4),(80492,6),(80493,3),(80494,4),(80495,4),(80496,5),(80497,7),(80498,1),(80499,6),(80500,6),(80501,7),(80502,4),(80503,2),(80504,9),(80505,1),(80506,7),(80507,2),(80508,6),(80509,4),(80510,1),(80511,6),(80512,1),(80513,4),(80514,9),(80515,8),(80516,5),(80517,3),(80518,4),(80519,6),(80520,2),(80521,7),(80522,3),(80523,4),(80524,2),(80525,5),(80526,8),(80527,3),(80528,9),(80529,6),(80530,3),(80531,2),(80532,2),(80533,8),(80534,1),(80535,5),(80536,1),(80537,2),(80538,5),(80539,1),(80540,9),(80541,2),(80542,7),(80543,5),(80544,1),(80545,5),(80546,9),(80547,7),(80548,5),(80549,3),(80550,9),(80551,4),(80552,6),(80553,8),(80554,7),(80555,5),(80556,2),(80557,3),(80558,9),(80559,5),(80560,1),(80561,4),(80562,3),(80563,9),(80564,1),(80565,9),(80566,3),(80567,3),(80568,3),(80569,4),(80570,8),(80571,7),(80572,1),(80573,7),(80574,3),(80575,4),(80576,4),(80577,6),(80578,7),(80579,1),(80580,2),(80581,6),(80582,9),(80583,7),(80584,2),(80585,8),(80586,8),(80587,9),(80588,3),(80589,5),(80590,3),(80591,4),(80592,2),(80593,5),(80594,5),(80595,8),(80596,8),(80597,6),(80598,6),(80599,8),(80600,2),(80601,7),(80602,8),(80603,3),(80604,9),(80605,3),(80606,7),(80607,1),(80608,5),(80609,7),(80610,3),(80611,2),(80612,9),(80613,7),(80614,5),(80615,4),(80616,2),(80617,8),(80618,5),(80619,1),(80620,2),(80621,1),(80622,9),(80623,9),(80624,4),(80625,1),(80626,6),(80627,2),(80628,1),(80629,8),(80630,2),(80631,3),(80632,1),(80633,1),(80634,7),(80635,1),(80636,9),(80637,1),(80638,1),(80639,2),(80640,4),(80641,1),(80642,5),(80643,5),(80644,2),(80645,5),(80646,2),(80647,5),(80648,4),(80649,6),(80650,9),(80651,4),(80652,1),(80653,7),(80654,8),(80655,5),(80656,8),(80657,5),(80658,8),(80659,8),(80660,9),(80661,8),(80662,9),(80663,3),(80664,5),(80665,4),(80666,6),(80667,5),(80668,9),(80669,3),(80670,3),(80671,6),(80672,8),(80673,1),(80674,1),(80675,3),(80676,6),(80677,8),(80678,6),(80679,8),(80680,3),(80681,1),(80682,1),(80683,6),(80684,8),(80685,4),(80686,1),(80687,2),(80688,2),(80689,2),(80690,7),(80691,9),(80692,8),(80693,5),(80694,3),(80695,5),(80696,3),(80697,9),(80698,1),(80699,7),(80700,8),(80701,3),(80702,3),(80703,7),(80704,4),(80705,1),(80706,5),(80707,8),(80708,1),(80709,9),(80710,7),(80711,3),(80712,9),(80713,8),(80714,3),(80715,7),(80716,8),(80717,7),(80718,4),(80719,5),(80720,4),(80721,9),(80722,5),(80723,7),(80724,7),(80725,8),(80726,3),(80727,7),(80728,7),(80729,4),(80730,8),(80731,9),(80732,1),(80733,2),(80734,5),(80735,9),(80736,4),(80737,7),(80738,1),(80739,9),(80740,7),(80741,5),(80742,8),(80743,4),(80744,1),(80745,1),(80746,9),(80747,3),(80748,7),(80749,1),(80750,4),(80751,4),(80752,5),(80753,5),(80754,7),(80755,6),(80756,8),(80757,6),(80758,7),(80759,4),(80760,9),(80761,5),(80762,6),(80763,8),(80764,4),(80765,5),(80766,2),(80767,4),(80768,9),(80769,9),(80770,3),(80771,3),(80772,2),(80773,2),(80774,3),(80775,1),(80776,7),(80777,6),(80778,3),(80779,9),(80780,9),(80781,4),(80782,9),(80783,1),(80784,6),(80785,8),(80786,6),(80787,3),(80788,8),(80789,6),(80790,7),(80791,2),(80792,2),(80793,6),(80794,1),(80795,5),(80796,5),(80797,5),(80798,1),(80799,7),(80800,5),(80801,4),(80802,6),(80803,9),(80804,2),(80805,4),(80806,6),(80807,5),(80808,5),(80809,1),(80810,6),(80811,5),(80812,5),(80813,2),(80814,1),(80815,5),(80816,4),(80817,4),(80818,6),(80819,6),(80820,4),(80821,5),(80822,2),(80823,5),(80824,4),(80825,8),(80826,8),(80827,2),(80828,5),(80829,2),(80830,5),(80831,4),(80832,6),(80833,7),(80834,3),(80835,9),(80836,6),(80837,5),(80838,3),(80839,4),(80840,2),(80841,4),(80842,3),(80843,6),(80844,8),(80845,8),(80846,3),(80847,6),(80848,2),(80849,1),(80850,3),(80851,3),(80852,1),(80853,9),(80854,9),(80855,4),(80856,5),(80857,1),(80858,2),(80859,4),(80860,6),(80861,4),(80862,6),(80863,6),(80864,8),(80865,4),(80866,4),(80867,7),(80868,1),(80869,6),(80870,6),(80871,9),(80872,8),(80873,6),(80874,3),(80875,6),(80876,3),(80877,6),(80878,7),(80879,3),(80880,6),(80881,3),(80882,2),(80883,2),(80884,6),(80885,7),(80886,3),(80887,5),(80888,1),(80889,6),(80890,9),(80891,2),(80892,7),(80893,6),(80894,2),(80895,7),(80896,5),(80897,4),(80898,1),(80899,5),(80900,6),(80901,8),(80902,3),(80903,4),(80904,3),(80905,3),(80906,2),(80907,1),(80908,4),(80909,8),(80910,7),(80911,1),(80912,8),(80913,7),(80914,9),(80915,8),(80916,3),(80917,8),(80918,9),(80919,8),(80920,3),(80921,7),(80922,2),(80923,2),(80924,4),(80925,9),(80926,9),(80927,5),(80928,6),(80929,9),(80930,9),(80931,2),(80932,4),(80933,4),(80934,5),(80935,9),(80936,8),(80937,4),(80938,5),(80939,1),(80940,4),(80941,5),(80942,5),(80943,7),(80944,1),(80945,7),(80946,8),(80947,4),(80948,4),(80949,3),(80950,6),(80951,6),(80952,9),(80953,7),(80954,2),(80955,3),(80956,8),(80957,9),(80958,8),(80959,4),(80960,3),(80961,6),(80962,5),(80963,9),(80964,3),(80965,8),(80966,2),(80967,8),(80968,9),(80969,8),(80970,4),(80971,7),(80972,5),(80973,6),(80974,9),(80975,5),(80976,3),(80977,3),(80978,8),(80979,7),(80980,9),(80981,7),(80982,7),(80983,4),(80984,8),(80985,9),(80986,7),(80987,9),(80988,7),(80989,2),(80990,8),(80991,7),(80992,1),(80993,2),(80994,6),(80995,9),(80996,7),(80997,8),(80998,1),(80999,9),(81000,8),(81001,5),(81002,3),(81003,4),(81004,7),(81005,3),(81006,2),(81007,3),(81008,9),(81009,3),(81010,3),(81011,8),(81012,1),(81013,8),(81014,7),(81015,2),(81016,6),(81017,7),(81018,1),(81019,5),(81020,4),(81021,5),(81022,2),(81023,2),(81024,9),(81025,8),(81026,8),(81027,4),(81028,9),(81029,9),(81030,2),(81031,9),(81032,5),(81033,4),(81034,9),(81035,4),(81036,6),(81037,2),(81038,5),(81039,4),(81040,8),(81041,9),(81042,5),(81043,2),(81044,4),(81045,9),(81046,1),(81047,8),(81048,7),(81049,3),(81050,6),(81051,4),(81052,9),(81053,1),(81054,7),(81055,1),(81056,7),(81057,4),(81058,6),(81059,4),(81060,1),(81061,8),(81062,8),(81063,8),(81064,5),(81065,6),(81066,9),(81067,9),(81068,5),(81069,3),(81070,6),(81071,6),(81072,5),(81073,6),(81074,6),(81075,4),(81076,4),(81077,3),(81078,6),(81079,3),(81080,3),(81081,5),(81082,3),(81083,1),(81084,8),(81085,7),(81086,2),(81087,6),(81088,2),(81089,9),(81090,6),(81091,6),(81092,9),(81093,6),(81094,1),(81095,5),(81096,5),(81097,3),(81098,2),(81099,4),(81100,4),(81101,6),(81102,6),(81103,3),(81104,6),(81105,5),(81106,5),(81107,6),(81108,7),(81109,9),(81110,8),(81111,3),(81112,9),(81113,2),(81114,7),(81115,1),(81116,4),(81117,6),(81118,6),(81119,9),(81120,8),(81121,3),(81122,3),(81123,1),(81124,7),(81125,5),(81126,7),(81127,5),(81128,8),(81129,8),(81130,8),(81131,3),(81132,1),(81133,2),(81134,4),(81135,2),(81136,6),(81137,3),(81138,1),(81139,2),(81140,6),(81141,8),(81142,7),(81143,9),(81144,6),(81145,3),(81146,6),(81147,1),(81148,1),(81149,4),(81150,8),(81151,4),(81152,3),(81153,5),(81154,1),(81155,9),(81156,8),(81157,4),(81158,1),(81159,4),(81160,3),(81161,2),(81162,2),(81163,7),(81164,5),(81165,9),(81166,8),(81167,1),(81168,6),(81169,4),(81170,5),(81171,7),(81172,9),(81173,4),(81174,9),(81175,4),(81176,9),(81177,7),(81178,8),(81179,9),(81180,3),(81181,1),(81182,9),(81183,3),(81184,7),(81185,5),(81186,8),(81187,4),(81188,9),(81189,7),(81190,8),(81191,7),(81192,6),(81193,3),(81194,8),(81195,4),(81196,2),(81197,7),(81198,2),(81199,7),(81200,1),(81201,4),(81202,2),(81203,4),(81204,4),(81205,1),(81206,1),(81207,1),(81208,5),(81209,7),(81210,7),(81211,5),(81212,3),(81213,8),(81214,4),(81215,2),(81216,4),(81217,6),(81218,1),(81219,4),(81220,5),(81221,9),(81222,5),(81223,7),(81224,3),(81225,1),(81226,8),(81227,6),(81228,6),(81229,6),(81230,5),(81231,7),(81232,7),(81233,4),(81234,4),(81235,8),(81236,9),(81237,4),(81238,4),(81239,8),(81240,9),(81241,9),(81242,9),(81243,2),(81244,2),(81245,9),(81246,5),(81247,4),(81248,2),(81249,1),(81250,3),(81251,7),(81252,2),(81253,4),(81254,6),(81255,3),(81256,5),(81257,9),(81258,1),(81259,3),(81260,6),(81261,5),(81262,6),(81263,7),(81264,3),(81265,1),(81266,6),(81267,8),(81268,7),(81269,2),(81270,9),(81271,5),(81272,1),(81273,1),(81274,6),(81275,9),(81276,1),(81277,2),(81278,8),(81279,3),(81280,6),(81281,9),(81282,4),(81283,4),(81284,8),(81285,3),(81286,1),(81287,3),(81288,9),(81289,4),(81290,5),(81291,4),(81292,8),(81293,4),(81294,6),(81295,9),(81296,9),(81297,8),(81298,4),(81299,5),(81300,5),(81301,6),(81302,3),(81303,2),(81304,5),(81305,5),(81306,7),(81307,1),(81308,1),(81309,4),(81310,3),(81311,4),(81312,6),(81313,6),(81314,6),(81315,9),(81316,1),(81317,2),(81318,8),(81319,2),(81320,5),(81321,7),(81322,9),(81323,3),(81324,5),(81325,3),(81326,9),(81327,9),(81328,9),(81329,4),(81330,1),(81331,8),(81332,7),(81333,2),(81334,8),(81335,1),(81336,5),(81337,1),(81338,9),(81339,2),(81340,1),(81341,5),(81342,8),(81343,9),(81344,7),(81345,6),(81346,4),(81347,2),(81348,9),(81349,9),(81350,1),(81351,6),(81352,8),(81353,1),(81354,4),(81355,9),(81356,8),(81357,3),(81358,1),(81359,4),(81360,2),(81361,5),(81362,3),(81363,3),(81364,3),(81365,1),(81366,7),(81367,6),(81368,5),(81369,1),(81370,7),(81371,3),(81372,6),(81373,2),(81374,4),(81375,6),(81376,7),(81377,2),(81378,8),(81379,1),(81380,5),(81381,6),(81382,5),(81383,8),(81384,1),(81385,6),(81386,1),(81387,6),(81388,7),(81389,5),(81390,4),(81391,8),(81392,8),(81393,2),(81394,9),(81395,3),(81396,6),(81397,4),(81398,3),(81399,4),(81400,9),(81401,5),(81402,1),(81403,8),(81404,1),(81405,4),(81406,2),(81407,7),(81408,8),(81409,3),(81410,1),(81411,1),(81412,3),(81413,4),(81414,2),(81415,9),(81416,2),(81417,9),(81418,8),(81419,3),(81420,5),(81421,2),(81422,4),(81423,2),(81424,6),(81425,5),(81426,8),(81427,8),(81428,2),(81429,4),(81430,7),(81431,7),(81432,9),(81433,6),(81434,6),(81435,6),(81436,1),(81437,3),(81438,7),(81439,3),(81440,4),(81441,8),(81442,2),(81443,3),(81444,9),(81445,6),(81446,3),(81447,1),(81448,7),(81449,6),(81450,4),(81451,6),(81452,7),(81453,2),(81454,4),(81455,4),(81456,1),(81457,8),(81458,6),(81459,5),(81460,5),(81461,1),(81462,9),(81463,3),(81464,8),(81465,9),(81466,9),(81467,9),(81468,7),(81469,7),(81470,7),(81471,1),(81472,3),(81473,8),(81474,7),(81475,1),(81476,4),(81477,4),(81478,6),(81479,7),(81480,8),(81481,5),(81482,4),(81483,6),(81484,1),(81485,9),(81486,1),(81487,4),(81488,5),(81489,2),(81490,9),(81491,3),(81492,2),(81493,9),(81494,6),(81495,1),(81496,5),(81497,7),(81498,1),(81499,1),(81500,9),(81501,5),(81502,4),(81503,7),(81504,8),(81505,2),(81506,2),(81507,5),(81508,4),(81509,6),(81510,1),(81511,9),(81512,8),(81513,4),(81514,4),(81515,9),(81516,9),(81517,8),(81518,8),(81519,4),(81520,9),(81521,7),(81522,5),(81523,6),(81524,9),(81525,6),(81526,2),(81527,2),(81528,1),(81529,7),(81530,8),(81531,5),(81532,6),(81533,9),(81534,1),(81535,6),(81536,1),(81537,1),(81538,5),(81539,6),(81540,8),(81541,1),(81542,6),(81543,5),(81544,8),(81545,8),(81546,8),(81547,8),(81548,9),(81549,6),(81550,8),(81551,5),(81552,6),(81553,7),(81554,1),(81555,3),(81556,3),(81557,9),(81558,3),(81559,6),(81560,2),(81561,3),(81562,6),(81563,3),(81564,8),(81565,3),(81566,7),(81567,1),(81568,5),(81569,3),(81570,5),(81571,4),(81572,8),(81573,5),(81574,5),(81575,2),(81576,3),(81577,2),(81578,7),(81579,6),(81580,8),(81581,8),(81582,5),(81583,3),(81584,8),(81585,4),(81586,3),(81587,6),(81588,4),(81589,5),(81590,1),(81591,7),(81592,2),(81593,2),(81594,7),(81595,8),(81596,7),(81597,7),(81598,9),(81599,2),(81600,2),(81601,1),(81602,6),(81603,4),(81604,3),(81605,7),(81606,4),(81607,7),(81608,4),(81609,9),(81610,8),(81611,1),(81612,4),(81613,2),(81614,8),(81615,6),(81616,6),(81617,8),(81618,7),(81619,6),(81620,9),(81621,5),(81622,8),(81623,4),(81624,8),(81625,5),(81626,7),(81627,3),(81628,9),(81629,8),(81630,9),(81631,7),(81632,2),(81633,5),(81634,3),(81635,2),(81636,7),(81637,8),(81638,9),(81639,1),(81640,7),(81641,2),(81642,1),(81643,3),(81644,2),(81645,5),(81646,1),(81647,3),(81648,3),(81649,7),(81650,4),(81651,8),(81652,1),(81653,5),(81654,5),(81655,4),(81656,6),(81657,7),(81658,9),(81659,9),(81660,4),(81661,1),(81662,7),(81663,8),(81664,3),(81665,7),(81666,5),(81667,4),(81668,5),(81669,3),(81670,9),(81671,7),(81672,6),(81673,9),(81674,4),(81675,4),(81676,8),(81677,9),(81678,1),(81679,9),(81680,2),(81681,7),(81682,1),(81683,6),(81684,6),(81685,3),(81686,7),(81687,3),(81688,8),(81689,2),(81690,3),(81691,3),(81692,9),(81693,3),(81694,4),(81695,6),(81696,4),(81697,2),(81698,8),(81699,6),(81700,8),(81701,8),(81702,8),(81703,6),(81704,8),(81705,9),(81706,7),(81707,5),(81708,4),(81709,9),(81710,3),(81711,2),(81712,1),(81713,6),(81714,6),(81715,1),(81716,5),(81717,8),(81718,4),(81719,4),(81720,6),(81721,2),(81722,1),(81723,4),(81724,4),(81725,4),(81726,5),(81727,8),(81728,1),(81729,7),(81730,1),(81731,8),(81732,4),(81733,6),(81734,9),(81735,8),(81736,3),(81737,4),(81738,1),(81739,5),(81740,7),(81741,7),(81742,2),(81743,4),(81744,8),(81745,9),(81746,4),(81747,8),(81748,5),(81749,5),(81750,2),(81751,2),(81752,1),(81753,5),(81754,2),(81755,1),(81756,1),(81757,4),(81758,8),(81759,2),(81760,1),(81761,3),(81762,1),(81763,1),(81764,2),(81765,4),(81766,3),(81767,3),(81768,3),(81769,9),(81770,9),(81771,1),(81772,6),(81773,2),(81774,1),(81775,5),(81776,4),(81777,4),(81778,9),(81779,4),(81780,2),(81781,8),(81782,3),(81783,1),(81784,1),(81785,8),(81786,7),(81787,5),(81788,3),(81789,6),(81790,1),(81791,8),(81792,1),(81793,4),(81794,5),(81795,4),(81796,1),(81797,4),(81798,1),(81799,2),(81800,2),(81801,7),(81802,5),(81803,2),(81804,2),(81805,6),(81806,9),(81807,3),(81808,1),(81809,2),(81810,5),(81811,9),(81812,1),(81813,9),(81814,8),(81815,1),(81816,9),(81817,6),(81818,6),(81819,4),(81820,8),(81821,2),(81822,6),(81823,5),(81824,8),(81825,2),(81826,7),(81827,2),(81828,6),(81829,5),(81830,2),(81831,7),(81832,1),(81833,2),(81834,5),(81835,9),(81836,2),(81837,7),(81838,5),(81839,3),(81840,7),(81841,3),(81842,1),(81843,3),(81844,2),(81845,6),(81846,7),(81847,1),(81848,8),(81849,5),(81850,5),(81851,6),(81852,2),(81853,1),(81854,4),(81855,6),(81856,6),(81857,9),(81858,9),(81859,8),(81860,1),(81861,4),(81862,2),(81863,8),(81864,7),(81865,8),(81866,2),(81867,6),(81868,2),(81869,3),(81870,7),(81871,4),(81872,3),(81873,4),(81874,2),(81875,4),(81876,5),(81877,8),(81878,4),(81879,8),(81880,4),(81881,7),(81882,4),(81883,7),(81884,5),(81885,5),(81886,8),(81887,3),(81888,6),(81889,2),(81890,6),(81891,7),(81892,3),(81893,2),(81894,6),(81895,1),(81896,9),(81897,6),(81898,3),(81899,4),(81900,1),(81901,4),(81902,2),(81903,8),(81904,7),(81905,7),(81906,3),(81907,4),(81908,4),(81909,3),(81910,6),(81911,2),(81912,4),(81913,3),(81914,4),(81915,1),(81916,8),(81917,7),(81918,4),(81919,1),(81920,8),(81921,1),(81922,3),(81923,9),(81924,8),(81925,5),(81926,7),(81927,4),(81928,1),(81929,4),(81930,5),(81931,9),(81932,2),(81933,5),(81934,6),(81935,5),(81936,4),(81937,9),(81938,1),(81939,5),(81940,9),(81941,5),(81942,5),(81943,2),(81944,8),(81945,1),(81946,2),(81947,8),(81948,9),(81949,5),(81950,4),(81951,4),(81952,4),(81953,5),(81954,7),(81955,8),(81956,7),(81957,5),(81958,9),(81959,5),(81960,6),(81961,3),(81962,9),(81963,2),(81964,6),(81965,2),(81966,1),(81967,7),(81968,7),(81969,5),(81970,2),(81971,4),(81972,3),(81973,4),(81974,6),(81975,7),(81976,9),(81977,8),(81978,8),(81979,6),(81980,5),(81981,4),(81982,7),(81983,9),(81984,1),(81985,7),(81986,1),(81987,3),(81988,3),(81989,2),(81990,6),(81991,4),(81992,6),(81993,5),(81994,8),(81995,5),(81996,8),(81997,2),(81998,2),(81999,6),(82000,7),(82001,3),(82002,7),(82003,3),(82004,1),(82005,1),(82006,4),(82007,7),(82008,9),(82009,2),(82010,6),(82011,3),(82012,7),(82013,7),(82014,8),(82015,6),(82016,8),(82017,3),(82018,2),(82019,3),(82020,2),(82021,4),(82022,2),(82023,7),(82024,8),(82025,5),(82026,3),(82027,8),(82028,7),(82029,3),(82030,6),(82031,4),(82032,1),(82033,9),(82034,6),(82035,8),(82036,1),(82037,2),(82038,5),(82039,5),(82040,5),(82041,2),(82042,7),(82043,8),(82044,9),(82045,4),(82046,4),(82047,4),(82048,9),(82049,7),(82050,9),(82051,2),(82052,6),(82053,4),(82054,7),(82055,7),(82056,5),(82057,4),(82058,6),(82059,3),(82060,9),(82061,7),(82062,4),(82063,4),(82064,1),(82065,8),(82066,2),(82067,4),(82068,8),(82069,3),(82070,5),(82071,1),(82072,9),(82073,7),(82074,7),(82075,9),(82076,8),(82077,6),(82078,8),(82079,3),(82080,4),(82081,4),(82082,7),(82083,4),(82084,7),(82085,5),(82086,4),(82087,4),(82088,7),(82089,2),(82090,7),(82091,4),(82092,5),(82093,9),(82094,5),(82095,5),(82096,1),(82097,1),(82098,4),(82099,9),(82100,4),(82101,6),(82102,1),(82103,8),(82104,8),(82105,5),(82106,2),(82107,9),(82108,5),(82109,9),(82110,4),(82111,2),(82112,8),(82113,4),(82114,4),(82115,2),(82116,5),(82117,7),(82118,5),(82119,1),(82120,1),(82121,5),(82122,1),(82123,3),(82124,9),(82125,6),(82126,5),(82127,4),(82128,8),(82129,2),(82130,7),(82131,5),(82132,3),(82133,8),(82134,7),(82135,8),(82136,3),(82137,2),(82138,4),(82139,3),(82140,3),(82141,3),(82142,9),(82143,2),(82144,8),(82145,5),(82146,8),(82147,2),(82148,9),(82149,4),(82150,9),(82151,5),(82152,6),(82153,4),(82154,8),(82155,3),(82156,1),(82157,2),(82158,6),(82159,6),(82160,8),(82161,2),(82162,1),(82163,6),(82164,4),(82165,1),(82166,3),(82167,6),(82168,2),(82169,8),(82170,3),(82171,4),(82172,8),(82173,3),(82174,7),(82175,3),(82176,6),(82177,2),(82178,3),(82179,6),(82180,5),(82181,6),(82182,9),(82183,5),(82184,4),(82185,3),(82186,3),(82187,5),(82188,1),(82189,5),(82190,6),(82191,6),(82192,6),(82193,3),(82194,4),(82195,6),(82196,3),(82197,4),(82198,6),(82199,9),(82200,1),(82201,6),(82202,5),(82203,8),(82204,2),(82205,3),(82206,4),(82207,5),(82208,4),(82209,8),(82210,9),(82211,6),(82212,4),(82213,6),(82214,9),(82215,6),(82216,5),(82217,4),(82218,4),(82219,3),(82220,4),(82221,9),(82222,3),(82223,9),(82224,3),(82225,2),(82226,9),(82227,2),(82228,6),(82229,6),(82230,6),(82231,1),(82232,6),(82233,2),(82234,6),(82235,2),(82236,4),(82237,8),(82238,5),(82239,6),(82240,5),(82241,3),(82242,2),(82243,3),(82244,5),(82245,8),(82246,8),(82247,3),(82248,4),(82249,9),(82250,6),(82251,7),(82252,5),(82253,5),(82254,2),(82255,1),(82256,9),(82257,5),(82258,4),(82259,6),(82260,1),(82261,2),(82262,2),(82263,9),(82264,8),(82265,3),(82266,5),(82267,5),(82268,2),(82269,4),(82270,1),(82271,5),(82272,3),(82273,7),(82274,5),(82275,3),(82276,6),(82277,1),(82278,3),(82279,3),(82280,4),(82281,9),(82282,8),(82283,4),(82284,5),(82285,3),(82286,6),(82287,4),(82288,4),(82289,2),(82290,9),(82291,6),(82292,2),(82293,7),(82294,2),(82295,1),(82296,9),(82297,5),(82298,3),(82299,7),(82300,7),(82301,3),(82302,4),(82303,4),(82304,3),(82305,8),(82306,1),(82307,5),(82308,4),(82309,3),(82310,3),(82311,6),(82312,3),(82313,1),(82314,3),(82315,6),(82316,5),(82317,8),(82318,3),(82319,6),(82320,2),(82321,2),(82322,1),(82323,7),(82324,4),(82325,4),(82326,1),(82327,9),(82328,8),(82329,8),(82330,8),(82331,1),(82332,9),(82333,5),(82334,4),(82335,8),(82336,8),(82337,8),(82338,7),(82339,1),(82340,4),(82341,6),(82342,9),(82343,7),(82344,2),(82345,4),(82346,6),(82347,1),(82348,1),(82349,3),(82350,8),(82351,8),(82352,6),(82353,7),(82354,9),(82355,3),(82356,5),(82357,5),(82358,2),(82359,3),(82360,8),(82361,7),(82362,9),(82363,9),(82364,8),(82365,8),(82366,8),(82367,4),(82368,1),(82369,7),(82370,6),(82371,6),(82372,1),(82373,4),(82374,6),(82375,1),(82376,9),(82377,4),(82378,1),(82379,4),(82380,8),(82381,6),(82382,8),(82383,9),(82384,3),(82385,7),(82386,8),(82387,6),(82388,7),(82389,3),(82390,2),(82391,3),(82392,6),(82393,6),(82394,8),(82395,1),(82396,2),(82397,5),(82398,5),(82399,2),(82400,1),(82401,3),(82402,2),(82403,9),(82404,8),(82405,8),(82406,9),(82407,5),(82408,9),(82409,4),(82410,3),(82411,3),(82412,1),(82413,6),(82414,8),(82415,9),(82416,2),(82417,4),(82418,8),(82419,8),(82420,8),(82421,9),(82422,7),(82423,5),(82424,8),(82425,6),(82426,1),(82427,5),(82428,2),(82429,6),(82430,8),(82431,5),(82432,2),(82433,7),(82434,6),(82435,6),(82436,2),(82437,6),(82438,3),(82439,9),(82440,8),(82441,1),(82442,9),(82443,3),(82444,5),(82445,1),(82446,9),(82447,9),(82448,6),(82449,6),(82450,4),(82451,5),(82452,3),(82453,3),(82454,1),(82455,6),(82456,8),(82457,8),(82458,6),(82459,4),(82460,4),(82461,4),(82462,7),(82463,2),(82464,6),(82465,2),(82466,5),(82467,1),(82468,6),(82469,6),(82470,2),(82471,3),(82472,3),(82473,2),(82474,3),(82475,9),(82476,2),(82477,3),(82478,3),(82479,2),(82480,7),(82481,3),(82482,6),(82483,4),(82484,9),(82485,3),(82486,8),(82487,8),(82488,4),(82489,7),(82490,2),(82491,2),(82492,8),(82493,2),(82494,3),(82495,8),(82496,8),(82497,6),(82498,6),(82499,3),(82500,4),(82501,1),(82502,1),(82503,1),(82504,1),(82505,2),(82506,5),(82507,3),(82508,7),(82509,3),(82510,6),(82511,6),(82512,1),(82513,2),(82514,6),(82515,5),(82516,5),(82517,6),(82518,2),(82519,9),(82520,6),(82521,5),(82522,7),(82523,5),(82524,1),(82525,2),(82526,5),(82527,7),(82528,7),(82529,5),(82530,7),(82531,4),(82532,9),(82533,7),(82534,6),(82535,4),(82536,6),(82537,3),(82538,8),(82539,6),(82540,2),(82541,7),(82542,2),(82543,6),(82544,9),(82545,3),(82546,2),(82547,3),(82548,7),(82549,1),(82550,5),(82551,9),(82552,1),(82553,1),(82554,9),(82555,3),(82556,8),(82557,9),(82558,3),(82559,6),(82560,6),(82561,4),(82562,7),(82563,2),(82564,4),(82565,6),(82566,6),(82567,1),(82568,4),(82569,4),(82570,1),(82571,2),(82572,4),(82573,9),(82574,2),(82575,1),(82576,6),(82577,4),(82578,3),(82579,3),(82580,3),(82581,3),(82582,3),(82583,6),(82584,5),(82585,2),(82586,2),(82587,6),(82588,1),(82589,2),(82590,7),(82591,5),(82592,3),(82593,3),(82594,6),(82595,1),(82596,4),(82597,1),(82598,1),(82599,4),(82600,6),(82601,8),(82602,2),(82603,1),(82604,9),(82605,3),(82606,9),(82607,4),(82608,6),(82609,1),(82610,9),(82611,6),(82612,8),(82613,9),(82614,4),(82615,8),(82616,2),(82617,6),(82618,3),(82619,8),(82620,6),(82621,3),(82622,5),(82623,9),(82624,2),(82625,3),(82626,1),(82627,9),(82628,8),(82629,3),(82630,8),(82631,4),(82632,8),(82633,7),(82634,4),(82635,4),(82636,8),(82637,7),(82638,5),(82639,6),(82640,1),(82641,5),(82642,7),(82643,4),(82644,8),(82645,9),(82646,1),(82647,6),(82648,8),(82649,4),(82650,8),(82651,6),(82652,8),(82653,3),(82654,2),(82655,1),(82656,8),(82657,1),(82658,5),(82659,9),(82660,5),(82661,7),(82662,8),(82663,4),(82664,6),(82665,7),(82666,4),(82667,1),(82668,6),(82669,5),(82670,1),(82671,6),(82672,9),(82673,2),(82674,8),(82675,2),(82676,3),(82677,8),(82678,5),(82679,1),(82680,7),(82681,4),(82682,2),(82683,1),(82684,4),(82685,8),(82686,5),(82687,8),(82688,9),(82689,7),(82690,9),(82691,6),(82692,3),(82693,8),(82694,8),(82695,4),(82696,3),(82697,9),(82698,1),(82699,7),(82700,3),(82701,2),(82702,9),(82703,3),(82704,1),(82705,5),(82706,9),(82707,2),(82708,2),(82709,6),(82710,2),(82711,3),(82712,9),(82713,9),(82714,3),(82715,2),(82716,9),(82717,7),(82718,9),(82719,6),(82720,8),(82721,9),(82722,8),(82723,7),(82724,7),(82725,4),(82726,1),(82727,6),(82728,3),(82729,7),(82730,9),(82731,8),(82732,6),(82733,4),(82734,6),(82735,2),(82736,1),(82737,9),(82738,9),(82739,2),(82740,2),(82741,2),(82742,6),(82743,8),(82744,3),(82745,2),(82746,4),(82747,7),(82748,4),(82749,6),(82750,1),(82751,8),(82752,6),(82753,9),(82754,1),(82755,7),(82756,7),(82757,8),(82758,8),(82759,2),(82760,9),(82761,6),(82762,9),(82763,7),(82764,4),(82765,8),(82766,3),(82767,3),(82768,3),(82769,9),(82770,3),(82771,9),(82772,7),(82773,6),(82774,7),(82775,5),(82776,3),(82777,9),(82778,6),(82779,9),(82780,8),(82781,8),(82782,2),(82783,1),(82784,1),(82785,7),(82786,2),(82787,1),(82788,1),(82789,2),(82790,6),(82791,7),(82792,9),(82793,8),(82794,3),(82795,1),(82796,7),(82797,9),(82798,4),(82799,2),(82800,4),(82801,9),(82802,6),(82803,8),(82804,8),(82805,8),(82806,8),(82807,3),(82808,9),(82809,6),(82810,5),(82811,6),(82812,7),(82813,3),(82814,1),(82815,8),(82816,6),(82817,7),(82818,7),(82819,4),(82820,5),(82821,9),(82822,1),(82823,2),(82824,4),(82825,6),(82826,3),(82827,3),(82828,1),(82829,2),(82830,9),(82831,4),(82832,3),(82833,9),(82834,3),(82835,7),(82836,4),(82837,8),(82838,2),(82839,8),(82840,7),(82841,7),(82842,6),(82843,4),(82844,4),(82845,2),(82846,3),(82847,4),(82848,8),(82849,3),(82850,3),(82851,4),(82852,7),(82853,6),(82854,4),(82855,2),(82856,6),(82857,4),(82858,9),(82859,3),(82860,7),(82861,8),(82862,6),(82863,3),(82864,2),(82865,6),(82866,8),(82867,6),(82868,6),(82869,9),(82870,5),(82871,7),(82872,2),(82873,8),(82874,4),(82875,4),(82876,3),(82877,9),(82878,4),(82879,2),(82880,6),(82881,2),(82882,5),(82883,5),(82884,6),(82885,7),(82886,4),(82887,4),(82888,5),(82889,9),(82890,4),(82891,4),(82892,2),(82893,7),(82894,6),(82895,6),(82896,3),(82897,5),(82898,3),(82899,4),(82900,1),(82901,9),(82902,4),(82903,1),(82904,1),(82905,9),(82906,5),(82907,8),(82908,2),(82909,6),(82910,6),(82911,7),(82912,6),(82913,8),(82914,5),(82915,8),(82916,9),(82917,7),(82918,4),(82919,9),(82920,6),(82921,5),(82922,1),(82923,1),(82924,6),(82925,2),(82926,2),(82927,5),(82928,1),(82929,3),(82930,8),(82931,9),(82932,8),(82933,7),(82934,8),(82935,1),(82936,4),(82937,7),(82938,4),(82939,3),(82940,7),(82941,5),(82942,6),(82943,1),(82944,6),(82945,9),(82946,9),(82947,7),(82948,3),(82949,9),(82950,2),(82951,5),(82952,9),(82953,1),(82954,8),(82955,2),(82956,5),(82957,4),(82958,1),(82959,1),(82960,8),(82961,3),(82962,7),(82963,7),(82964,8),(82965,3),(82966,6),(82967,4),(82968,6),(82969,9),(82970,2),(82971,2),(82972,6),(82973,8),(82974,9),(82975,6),(82976,8),(82977,9),(82978,6),(82979,4),(82980,9),(82981,7),(82982,7),(82983,8),(82984,5),(82985,4),(82986,5),(82987,8),(82988,2),(82989,4),(82990,3),(82991,3),(82992,8),(82993,1),(82994,4),(82995,1),(82996,8),(82997,3),(82998,7),(82999,9),(83000,4),(83001,7),(83002,2),(83003,5),(83004,2),(83005,6),(83006,1),(83007,3),(83008,9),(83009,3),(83010,3),(83011,3),(83012,2),(83013,4),(83014,9),(83015,1),(83016,5),(83017,7),(83018,7),(83019,7),(83020,3),(83021,7),(83022,9),(83023,6),(83024,8),(83025,3),(83026,3),(83027,9),(83028,6),(83029,6),(83030,1),(83031,3),(83032,1),(83033,4),(83034,6),(83035,9),(83036,4),(83037,8),(83038,3),(83039,6),(83040,2),(83041,7),(83042,4),(83043,8),(83044,8),(83045,6),(83046,6),(83047,5),(83048,5),(83049,7),(83050,6),(83051,7),(83052,8),(83053,7),(83054,2),(83055,3),(83056,5),(83057,3),(83058,3),(83059,7),(83060,8),(83061,1),(83062,5),(83063,1),(83064,4),(83065,1),(83066,9),(83067,7),(83068,2),(83069,2),(83070,7),(83071,3),(83072,9),(83073,6),(83074,1),(83075,1),(83076,3),(83077,8),(83078,8),(83079,5),(83080,1),(83081,5),(83082,8),(83083,6),(83084,5),(83085,6),(83086,3),(83087,4),(83088,7),(83089,1),(83090,5),(83091,9),(83092,9),(83093,3),(83094,4),(83095,7),(83096,6),(83097,9),(83098,5),(83099,7),(83100,7),(83101,3),(83102,2),(83103,3),(83104,5),(83105,8),(83106,7),(83107,9),(83108,7),(83109,9),(83110,1),(83111,3),(83112,5),(83113,5),(83114,7),(83115,2),(83116,9),(83117,3),(83118,7),(83119,6),(83120,3),(83121,1),(83122,7),(83123,3),(83124,6),(83125,7),(83126,3),(83127,4),(83128,5),(83129,2),(83130,7),(83131,9),(83132,9),(83133,9),(83134,2),(83135,5),(83136,7),(83137,6),(83138,7),(83139,2),(83140,7),(83141,1),(83142,1),(83143,3),(83144,7),(83145,1),(83146,4),(83147,4),(83148,2),(83149,3),(83150,6),(83151,4),(83152,2),(83153,1),(83154,3),(83155,4),(83156,4),(83157,5),(83158,4),(83159,3),(83160,7),(83161,2),(83162,8),(83163,2),(83164,8),(83165,5),(83166,7),(83167,8),(83168,8),(83169,9),(83170,5),(83171,7),(83172,3),(83173,8),(83174,4),(83175,4),(83176,5),(83177,7),(83178,9),(83179,5),(83180,2),(83181,8),(83182,8),(83183,5),(83184,5),(83185,3),(83186,9),(83187,9),(83188,7),(83189,8),(83190,7),(83191,4),(83192,1),(83193,9),(83194,2),(83195,8),(83196,2),(83197,8),(83198,3),(83199,6),(83200,2),(83201,8),(83202,5),(83203,9),(83204,9),(83205,6),(83206,9),(83207,2),(83208,1),(83209,4),(83210,2),(83211,5),(83212,4),(83213,6),(83214,7),(83215,3),(83216,3),(83217,8),(83218,8),(83219,5),(83220,3),(83221,6),(83222,9),(83223,2),(83224,8),(83225,6),(83226,1),(83227,5),(83228,9),(83229,6),(83230,8),(83231,3),(83232,1),(83233,4),(83234,7),(83235,5),(83236,1),(83237,5),(83238,7),(83239,6),(83240,8),(83241,5),(83242,1),(83243,4),(83244,2),(83245,3),(83246,4),(83247,1),(83248,6),(83249,9),(83250,4),(83251,3),(83252,8),(83253,2),(83254,4),(83255,4),(83256,9),(83257,2),(83258,3),(83259,8),(83260,6),(83261,2),(83262,2),(83263,2),(83264,7),(83265,3),(83266,1),(83267,1),(83268,8),(83269,3),(83270,9),(83271,7),(83272,5),(83273,6),(83274,2),(83275,4),(83276,6),(83277,2),(83278,3),(83279,4),(83280,6),(83281,3),(83282,9),(83283,4),(83284,3),(83285,7),(83286,6),(83287,3),(83288,5),(83289,1),(83290,2),(83291,8),(83292,1),(83293,3),(83294,4),(83295,9),(83296,7),(83297,4),(83298,4),(83299,5),(83300,6),(83301,8),(83302,4),(83303,3),(83304,3),(83305,7),(83306,1),(83307,2),(83308,2),(83309,3),(83310,5),(83311,8),(83312,6),(83313,1),(83314,9),(83315,7),(83316,2),(83317,4),(83318,8),(83319,6),(83320,8),(83321,7),(83322,4),(83323,2),(83324,4),(83325,2),(83326,4),(83327,3),(83328,3),(83329,7),(83330,7),(83331,2),(83332,3),(83333,1),(83334,8),(83335,8),(83336,9),(83337,4),(83338,8),(83339,5),(83340,3),(83341,2),(83342,1),(83343,1),(83344,8),(83345,3),(83346,1),(83347,9),(83348,1),(83349,1),(83350,5),(83351,2),(83352,6),(83353,1),(83354,4),(83355,8),(83356,5),(83357,8),(83358,6),(83359,2),(83360,5),(83361,8),(83362,3),(83363,5),(83364,3),(83365,1),(83366,4),(83367,7),(83368,6),(83369,2),(83370,4),(83371,7),(83372,4),(83373,3),(83374,8),(83375,4),(83376,8),(83377,9),(83378,3),(83379,1),(83380,9),(83381,5),(83382,8),(83383,4),(83384,7),(83385,5),(83386,8),(83387,2),(83388,4),(83389,1),(83390,8),(83391,3),(83392,2),(83393,3),(83394,1),(83395,1),(83396,4),(83397,9),(83398,3),(83399,2),(83400,5),(83401,8),(83402,5),(83403,7),(83404,6),(83405,7),(83406,7),(83407,8),(83408,9),(83409,8),(83410,5),(83411,6),(83412,8),(83413,7),(83414,6),(83415,1),(83416,8),(83417,2),(83418,6),(83419,7),(83420,4),(83421,7),(83422,8),(83423,1),(83424,9),(83425,5),(83426,1),(83427,6),(83428,7),(83429,5),(83430,9),(83431,5),(83432,1),(83433,4),(83434,5),(83435,9),(83436,7),(83437,3),(83438,9),(83439,9),(83440,7),(83441,9),(83442,3),(83443,8),(83444,7),(83445,6),(83446,2),(83447,1),(83448,7),(83449,4),(83450,7),(83451,8),(83452,2),(83453,7),(83454,9),(83455,6),(83456,2),(83457,6),(83458,5),(83459,1),(83460,4),(83461,7),(83462,9),(83463,6),(83464,4),(83465,1),(83466,6),(83467,6),(83468,2),(83469,7),(83470,2),(83471,2),(83472,6),(83473,2),(83474,3),(83475,8),(83476,3),(83477,8),(83478,8),(83479,9),(83480,9),(83481,2),(83482,5),(83483,7),(83484,9),(83485,9),(83486,2),(83487,9),(83488,2),(83489,1),(83490,1),(83491,6),(83492,5),(83493,1),(83494,1),(83495,2),(83496,1),(83497,5),(83498,1),(83499,1),(83500,3),(83501,3),(83502,1),(83503,1),(83504,5),(83505,8),(83506,4),(83507,9),(83508,7),(83509,2),(83510,3),(83511,9),(83512,1),(83513,7),(83514,7),(83515,9),(83516,5),(83517,2),(83518,9),(83519,5),(83520,7),(83521,8),(83522,9),(83523,3),(83524,3),(83525,6),(83526,8),(83527,3),(83528,4),(83529,3),(83530,8),(83531,2),(83532,6),(83533,4),(83534,9),(83535,3),(83536,7),(83537,4),(83538,2),(83539,5),(83540,1),(83541,4),(83542,1),(83543,1),(83544,8),(83545,1),(83546,3),(83547,4),(83548,1),(83549,5),(83550,4),(83551,7),(83552,4),(83553,9),(83554,1),(83555,2),(83556,5),(83557,7),(83558,1),(83559,5),(83560,4),(83561,2),(83562,1),(83563,5),(83564,7),(83565,8),(83566,1),(83567,8),(83568,9),(83569,8),(83570,7),(83571,7),(83572,9),(83573,6),(83574,9),(83575,6),(83576,3),(83577,5),(83578,4),(83579,5),(83580,3),(83581,6),(83582,7),(83583,2),(83584,9),(83585,9),(83586,1),(83587,3),(83588,2),(83589,5),(83590,9),(83591,8),(83592,2),(83593,7),(83594,5),(83595,2),(83596,3),(83597,4),(83598,9),(83599,4),(83600,2),(83601,4),(83602,6),(83603,6),(83604,4),(83605,3),(83606,8),(83607,4),(83608,2),(83609,4),(83610,6),(83611,3),(83612,3),(83613,8),(83614,3),(83615,1),(83616,5),(83617,1),(83618,9),(83619,8),(83620,2),(83621,6),(83622,8),(83623,2),(83624,2),(83625,5),(83626,2),(83627,5),(83628,9),(83629,8),(83630,9),(83631,6),(83632,3),(83633,2),(83634,1),(83635,1),(83636,2),(83637,9),(83638,8),(83639,4),(83640,7),(83641,3),(83642,6),(83643,4),(83644,4),(83645,8),(83646,4),(83647,5),(83648,5),(83649,9),(83650,3),(83651,2),(83652,8),(83653,7),(83654,3),(83655,9),(83656,4),(83657,4),(83658,1),(83659,5),(83660,9),(83661,2),(83662,3),(83663,7),(83664,2),(83665,5),(83666,6),(83667,6),(83668,1),(83669,4),(83670,1),(83671,1),(83672,1),(83673,6),(83674,3),(83675,7),(83676,7),(83677,7),(83678,3),(83679,4),(83680,3),(83681,1),(83682,8),(83683,7),(83684,8),(83685,8),(83686,2),(83687,2),(83688,5),(83689,3),(83690,5),(83691,8),(83692,6),(83693,3),(83694,5),(83695,3),(83696,9),(83697,2),(83698,6),(83699,2),(83700,5),(83701,8),(83702,1),(83703,8),(83704,6),(83705,1),(83706,1),(83707,6),(83708,6),(83709,5),(83710,5),(83711,4),(83712,7),(83713,8),(83714,9),(83715,9),(83716,6),(83717,4),(83718,9),(83719,1),(83720,6),(83721,2),(83722,5),(83723,1),(83724,6),(83725,8),(83726,7),(83727,2),(83728,3),(83729,2),(83730,5),(83731,1),(83732,4),(83733,4),(83734,1),(83735,9),(83736,6),(83737,6),(83738,6),(83739,2),(83740,9),(83741,4),(83742,3),(83743,3),(83744,2),(83745,8),(83746,9),(83747,1),(83748,1),(83749,5),(83750,1),(83751,5),(83752,5),(83753,6),(83754,8),(83755,8),(83756,5),(83757,5),(83758,7),(83759,8),(83760,7),(83761,4),(83762,7),(83763,5),(83764,8),(83765,3),(83766,5),(83767,1),(83768,4),(83769,1),(83770,9),(83771,5),(83772,5),(83773,1),(83774,7),(83775,9),(83776,2),(83777,9),(83778,8),(83779,4),(83780,1),(83781,1),(83782,9),(83783,2),(83784,4),(83785,9),(83786,3),(83787,3),(83788,2),(83789,7),(83790,7),(83791,1),(83792,8),(83793,8),(83794,9),(83795,8),(83796,5),(83797,6),(83798,9),(83799,2),(83800,2),(83801,5),(83802,8),(83803,5),(83804,8),(83805,2),(83806,3),(83807,3),(83808,9),(83809,3),(83810,6),(83811,8),(83812,2),(83813,7),(83814,8),(83815,8),(83816,7),(83817,5),(83818,3),(83819,6),(83820,2),(83821,7),(83822,2),(83823,3),(83824,5),(83825,3),(83826,3),(83827,6),(83828,9),(83829,5),(83830,9),(83831,4),(83832,1),(83833,1),(83834,7),(83835,6),(83836,1),(83837,5),(83838,8),(83839,9),(83840,7),(83841,3),(83842,5),(83843,7),(83844,7),(83845,3),(83846,1),(83847,4),(83848,3),(83849,6),(83850,2),(83851,2),(83852,6),(83853,5),(83854,8),(83855,7),(83856,3),(83857,2),(83858,9),(83859,8),(83860,1),(83861,3),(83862,2),(83863,9),(83864,7),(83865,5),(83866,3),(83867,4),(83868,9),(83869,1),(83870,8),(83871,7),(83872,8),(83873,8),(83874,3),(83875,9),(83876,3),(83877,1),(83878,8),(83879,7),(83880,5),(83881,8),(83882,5),(83883,5),(83884,3),(83885,7),(83886,7),(83887,9),(83888,3),(83889,2),(83890,3),(83891,5),(83892,3),(83893,5),(83894,1),(83895,8),(83896,2),(83897,3),(83898,6),(83899,1),(83900,5),(83901,2),(83902,8),(83903,1),(83904,3),(83905,9),(83906,4),(83907,6),(83908,6),(83909,7),(83910,1),(83911,5),(83912,9),(83913,8),(83914,3),(83915,4),(83916,1),(83917,1),(83918,8),(83919,4),(83920,5),(83921,7),(83922,7),(83923,1),(83924,7),(83925,6),(83926,7),(83927,9),(83928,9),(83929,1),(83930,3),(83931,3),(83932,1),(83933,8),(83934,3),(83935,5),(83936,9),(83937,6),(83938,1),(83939,3),(83940,4),(83941,6),(83942,2),(83943,8),(83944,2),(83945,5),(83946,2),(83947,4),(83948,6),(83949,5),(83950,5),(83951,6),(83952,2),(83953,6),(83954,1),(83955,8),(83956,4),(83957,5),(83958,5),(83959,7),(83960,7),(83961,2),(83962,9),(83963,6),(83964,4),(83965,4),(83966,5),(83967,4),(83968,4),(83969,4),(83970,2),(83971,6),(83972,3),(83973,2),(83974,3),(83975,3),(83976,1),(83977,4),(83978,9),(83979,8),(83980,1),(83981,6),(83982,9),(83983,8),(83984,2),(83985,7),(83986,3),(83987,1),(83988,7),(83989,6),(83990,9),(83991,1),(83992,8),(83993,7),(83994,8),(83995,8),(83996,3),(83997,1),(83998,4),(83999,8),(84000,1),(84001,2),(84002,9),(84003,3),(84004,9),(84005,4),(84006,1),(84007,6),(84008,1),(84009,1),(84010,2),(84011,4),(84012,8),(84013,1),(84014,9),(84015,2),(84016,5),(84017,4),(84018,8),(84019,7),(84020,6),(84021,1),(84022,2),(84023,9),(84024,3),(84025,1),(84026,5),(84027,7),(84028,1),(84029,5),(84030,7),(84031,6),(84032,6),(84033,3),(84034,3),(84035,9),(84036,3),(84037,5),(84038,5),(84039,8),(84040,6),(84041,4),(84042,9),(84043,6),(84044,8),(84045,8),(84046,7),(84047,1),(84048,4),(84049,8),(84050,6),(84051,8),(84052,5),(84053,8),(84054,9),(84055,8),(84056,6),(84057,2),(84058,9),(84059,3),(84060,5),(84061,3),(84062,5),(84063,2),(84064,8),(84065,8),(84066,4),(84067,7),(84068,9),(84069,6),(84070,8),(84071,9),(84072,8),(84073,4),(84074,8),(84075,2),(84076,7),(84077,6),(84078,9),(84079,9),(84080,2),(84081,5),(84082,7),(84083,7),(84084,8),(84085,9),(84086,3),(84087,1),(84088,1),(84089,8),(84090,8),(84091,9),(84092,6),(84093,5),(84094,3),(84095,3),(84096,9),(84097,9),(84098,8),(84099,4),(84100,7),(84101,6),(84102,3),(84103,8),(84104,4),(84105,6),(84106,3),(84107,5),(84108,2),(84109,3),(84110,7),(84111,6),(84112,5),(84113,3),(84114,3),(84115,9),(84116,7),(84117,3),(84118,3),(84119,5),(84120,2),(84121,3),(84122,7),(84123,3),(84124,9),(84125,3),(84126,9),(84127,4),(84128,3),(84129,3),(84130,5),(84131,3),(84132,1),(84133,5),(84134,3),(84135,6),(84136,4),(84137,1),(84138,8),(84139,8),(84140,5),(84141,8),(84142,9),(84143,7),(84144,9),(84145,8),(84146,6),(84147,4),(84148,7),(84149,4),(84150,3),(84151,7),(84152,4),(84153,4),(84154,1),(84155,6),(84156,5),(84157,3),(84158,2),(84159,5),(84160,1),(84161,6),(84162,4),(84163,1),(84164,7),(84165,2),(84166,5),(84167,7),(84168,1),(84169,8),(84170,6),(84171,7),(84172,1),(84173,9),(84174,6),(84175,4),(84176,4),(84177,4),(84178,2),(84179,1),(84180,5),(84181,1),(84182,2),(84183,1),(84184,7),(84185,6),(84186,3),(84187,4),(84188,8),(84189,2),(84190,6),(84191,4),(84192,6),(84193,2),(84194,1),(84195,8),(84196,3),(84197,6),(84198,4),(84199,6),(84200,4),(84201,5),(84202,4),(84203,9),(84204,5),(84205,6),(84206,6),(84207,9),(84208,3),(84209,4),(84210,3),(84211,6),(84212,4),(84213,5),(84214,9),(84215,4),(84216,2),(84217,7),(84218,6),(84219,7),(84220,9),(84221,5),(84222,5),(84223,5),(84224,1),(84225,8),(84226,4),(84227,2),(84228,8),(84229,2),(84230,7),(84231,8),(84232,4),(84233,1),(84234,3),(84235,7),(84236,2),(84237,6),(84238,9),(84239,6),(84240,4),(84241,9),(84242,7),(84243,1),(84244,3),(84245,4),(84246,9),(84247,2),(84248,5),(84249,6),(84250,9),(84251,6),(84252,3),(84253,9),(84254,1),(84255,4),(84256,1),(84257,6),(84258,4),(84259,6),(84260,2),(84261,8),(84262,6),(84263,8),(84264,1),(84265,4),(84266,8),(84267,1),(84268,2),(84269,3),(84270,5),(84271,6),(84272,1),(84273,2),(84274,9),(84275,1),(84276,9),(84277,8),(84278,9),(84279,7),(84280,9),(84281,9),(84282,3),(84283,5),(84284,6),(84285,9),(84286,7),(84287,6),(84288,6),(84289,3),(84290,7),(84291,1),(84292,3),(84293,2),(84294,7),(84295,9),(84296,7),(84297,7),(84298,1),(84299,8),(84300,4),(84301,4),(84302,2),(84303,4),(84304,2),(84305,9),(84306,5),(84307,5),(84308,3),(84309,8),(84310,8),(84311,8),(84312,9),(84313,1),(84314,1),(84315,5),(84316,2),(84317,6),(84318,2),(84319,6),(84320,4),(84321,8),(84322,2),(84323,6),(84324,8),(84325,6),(84326,4),(84327,4),(84328,1),(84329,5),(84330,1),(84331,2),(84332,1),(84333,8),(84334,5),(84335,7),(84336,4),(84337,6),(84338,1),(84339,2),(84340,6),(84341,9),(84342,2),(84343,5),(84344,5),(84345,5),(84346,3),(84347,8),(84348,5),(84349,7),(84350,6),(84351,6),(84352,5),(84353,4),(84354,3),(84355,6),(84356,1),(84357,3),(84358,1),(84359,5),(84360,8),(84361,8),(84362,7),(84363,3),(84364,8),(84365,1),(84366,7),(84367,8),(84368,8),(84369,6),(84370,6),(84371,6),(84372,1),(84373,4),(84374,1),(84375,3),(84376,9),(84377,9),(84378,2),(84379,6),(84380,8),(84381,3),(84382,3),(84383,3),(84384,2),(84385,3),(84386,1),(84387,2),(84388,2),(84389,8),(84390,4),(84391,8),(84392,6),(84393,3),(84394,4),(84395,9),(84396,6),(84397,9),(84398,1),(84399,4),(84400,6),(84401,4),(84402,5),(84403,4),(84404,4),(84405,7),(84406,2),(84407,4),(84408,9),(84409,9),(84410,6),(84411,3),(84412,7),(84413,8),(84414,8),(84415,9),(84416,7),(84417,3),(84418,6),(84419,9),(84420,2),(84421,4),(84422,6),(84423,3),(84424,9),(84425,1),(84426,3),(84427,6),(84428,4),(84429,6),(84430,1),(84431,8),(84432,4),(84433,9),(84434,8),(84435,8),(84436,9),(84437,9),(84438,7),(84439,6),(84440,2),(84441,8),(84442,2),(84443,5),(84444,7),(84445,6),(84446,9),(84447,6),(84448,6),(84449,5),(84450,9),(84451,2),(84452,5),(84453,4),(84454,8),(84455,8),(84456,4),(84457,9),(84458,6),(84459,8),(84460,7),(84461,7),(84462,3),(84463,9),(84464,5),(84465,1),(84466,3),(84467,6),(84468,9),(84469,7),(84470,1),(84471,1),(84472,7),(84473,3),(84474,9),(84475,7),(84476,5),(84477,8),(84478,5),(84479,9),(84480,1),(84481,7),(84482,4),(84483,2),(84484,4),(84485,3),(84486,8),(84487,1),(84488,7),(84489,2),(84490,7),(84491,2),(84492,6),(84493,1),(84494,9),(84495,3),(84496,5),(84497,7),(84498,3),(84499,9),(84500,3),(84501,5),(84502,8),(84503,3),(84504,5),(84505,5),(84506,3),(84507,7),(84508,5),(84509,8),(84510,6),(84511,2),(84512,8),(84513,3),(84514,1),(84515,6),(84516,9),(84517,1),(84518,5),(84519,7),(84520,2),(84521,2),(84522,3),(84523,4),(84524,7),(84525,6),(84526,4),(84527,4),(84528,3),(84529,1),(84530,4),(84531,3),(84532,5),(84533,8),(84534,9),(84535,3),(84536,7),(84537,3),(84538,9),(84539,5),(84540,6),(84541,2),(84542,1),(84543,1),(84544,3),(84545,3),(84546,8),(84547,7),(84548,4),(84549,2),(84550,6),(84551,5),(84552,5),(84553,7),(84554,7),(84555,3),(84556,8),(84557,3),(84558,8),(84559,2),(84560,4),(84561,8),(84562,4),(84563,2),(84564,7),(84565,7),(84566,7),(84567,4),(84568,9),(84569,4),(84570,9),(84571,7),(84572,6),(84573,1),(84574,8),(84575,2),(84576,7),(84577,5),(84578,6),(84579,1),(84580,2),(84581,5),(84582,1),(84583,7),(84584,5),(84585,4),(84586,7),(84587,9),(84588,1),(84589,9),(84590,3),(84591,9),(84592,1),(84593,7),(84594,7),(84595,6),(84596,7),(84597,4),(84598,8),(84599,1),(84600,6),(84601,2),(84602,1),(84603,1),(84604,2),(84605,9),(84606,3),(84607,4),(84608,4),(84609,2),(84610,7),(84611,8),(84612,3),(84613,9),(84614,9),(84615,7),(84616,7),(84617,6),(84618,7),(84619,7),(84620,2),(84621,1),(84622,1),(84623,6),(84624,1),(84625,6),(84626,5),(84627,7),(84628,6),(84629,3),(84630,3),(84631,6),(84632,9),(84633,8),(84634,9),(84635,2),(84636,5),(84637,9),(84638,7),(84639,5),(84640,9),(84641,6),(84642,5),(84643,8),(84644,9),(84645,2),(84646,8),(84647,7),(84648,7),(84649,8),(84650,9),(84651,1),(84652,1),(84653,5),(84654,2),(84655,1),(84656,5),(84657,7),(84658,4),(84659,8),(84660,9),(84661,1),(84662,8),(84663,5),(84664,7),(84665,2),(84666,7),(84667,9),(84668,3),(84669,8),(84670,5),(84671,6),(84672,5),(84673,7),(84674,7),(84675,9),(84676,1),(84677,9),(84678,7),(84679,7),(84680,2),(84681,1),(84682,5),(84683,5),(84684,9),(84685,6),(84686,8),(84687,9),(84688,4),(84689,4),(84690,4),(84691,3),(84692,8),(84693,5),(84694,9),(84695,3),(84696,3),(84697,9),(84698,9),(84699,7),(84700,2),(84701,3),(84702,3),(84703,3),(84704,6),(84705,1),(84706,2),(84707,8),(84708,5),(84709,9),(84710,6),(84711,5),(84712,4),(84713,9),(84714,7),(84715,1),(84716,4),(84717,3),(84718,9),(84719,4),(84720,1),(84721,1),(84722,5),(84723,3),(84724,1),(84725,1),(84726,5),(84727,9),(84728,9),(84729,7),(84730,3),(84731,8),(84732,8),(84733,1),(84734,9),(84735,4),(84736,1),(84737,5),(84738,2),(84739,9),(84740,3),(84741,8),(84742,8),(84743,6),(84744,8),(84745,2),(84746,8),(84747,3),(84748,3),(84749,8),(84750,2),(84751,4),(84752,2),(84753,5),(84754,4),(84755,6),(84756,3),(84757,9),(84758,2),(84759,3),(84760,4),(84761,1),(84762,1),(84763,8),(84764,4),(84765,1),(84766,5),(84767,1),(84768,1),(84769,8),(84770,7),(84771,6),(84772,6),(84773,5),(84774,7),(84775,7),(84776,3),(84777,2),(84778,7),(84779,2),(84780,7),(84781,7),(84782,5),(84783,7),(84784,6),(84785,6),(84786,6),(84787,8),(84788,2),(84789,3),(84790,2),(84791,2),(84792,1),(84793,3),(84794,8),(84795,5),(84796,8),(84797,7),(84798,2),(84799,3),(84800,8),(84801,5),(84802,5),(84803,1),(84804,6),(84805,9),(84806,3),(84807,2),(84808,5),(84809,8),(84810,1),(84811,2),(84812,5),(84813,6),(84814,2),(84815,8),(84816,1),(84817,2),(84818,2),(84819,8),(84820,8),(84821,8),(84822,8),(84823,8),(84824,7),(84825,7),(84826,4),(84827,7),(84828,7),(84829,8),(84830,9),(84831,9),(84832,3),(84833,5),(84834,1),(84835,5),(84836,4),(84837,8),(84838,2),(84839,5),(84840,1),(84841,4),(84842,6),(84843,9),(84844,3),(84845,7),(84846,2),(84847,8),(84848,3),(84849,1),(84850,7),(84851,4),(84852,4),(84853,4),(84854,7),(84855,8),(84856,9),(84857,3),(84858,9),(84859,7),(84860,4),(84861,8),(84862,7),(84863,7),(84864,3),(84865,8),(84866,8),(84867,7),(84868,8),(84869,3),(84870,8),(84871,4),(84872,1),(84873,9),(84874,6),(84875,2),(84876,6),(84877,1),(84878,6),(84879,2),(84880,4),(84881,2),(84882,6),(84883,2),(84884,7),(84885,1),(84886,1),(84887,1),(84888,8),(84889,7),(84890,2),(84891,1),(84892,3),(84893,6),(84894,3),(84895,7),(84896,3),(84897,4),(84898,3),(84899,4),(84900,3),(84901,2),(84902,5),(84903,3),(84904,5),(84905,9),(84906,9),(84907,9),(84908,6),(84909,6),(84910,1),(84911,3),(84912,2),(84913,8),(84914,7),(84915,2),(84916,6),(84917,1),(84918,7),(84919,8),(84920,4),(84921,5),(84922,6),(84923,3),(84924,8),(84925,9),(84926,1),(84927,3),(84928,3),(84929,3),(84930,7),(84931,3),(84932,5),(84933,2),(84934,1),(84935,2),(84936,5),(84937,7),(84938,1),(84939,4),(84940,4),(84941,4),(84942,3),(84943,1),(84944,1),(84945,2),(84946,7),(84947,3),(84948,8),(84949,8),(84950,9),(84951,7),(84952,2),(84953,9),(84954,5),(84955,3),(84956,8),(84957,5),(84958,9),(84959,9),(84960,3),(84961,8),(84962,7),(84963,7),(84964,7),(84965,3),(84966,8),(84967,3),(84968,1),(84969,4),(84970,9),(84971,3),(84972,8),(84973,2),(84974,4),(84975,3),(84976,9),(84977,7),(84978,7),(84979,4),(84980,9),(84981,1),(84982,2),(84983,4),(84984,4),(84985,9),(84986,4),(84987,2),(84988,8),(84989,7),(84990,6),(84991,6),(84992,1),(84993,6),(84994,8),(84995,5),(84996,4),(84997,6),(84998,4),(84999,5),(85000,8),(85001,7),(85002,1),(85003,8),(85004,7),(85005,4),(85006,5),(85007,9),(85008,2),(85009,6),(85010,3),(85011,9),(85012,9),(85013,4),(85014,9),(85015,6),(85016,2),(85017,8),(85018,6),(85019,6),(85020,3),(85021,9),(85022,5),(85023,5),(85024,9),(85025,1),(85026,6),(85027,8),(85028,1),(85029,3),(85030,4),(85031,1),(85032,6),(85033,9),(85034,1),(85035,1),(85036,9),(85037,8),(85038,2),(85039,3),(85040,4),(85041,5),(85042,1),(85043,6),(85044,7),(85045,2),(85046,9),(85047,1),(85048,9),(85049,9),(85050,2),(85051,1),(85052,3),(85053,7),(85054,1),(85055,9),(85056,6),(85057,9),(85058,4),(85059,3),(85060,9),(85061,4),(85062,2),(85063,3),(85064,4),(85065,2),(85066,6),(85067,1),(85068,7),(85069,4),(85070,5),(85071,3),(85072,3),(85073,3),(85074,8),(85075,2),(85076,2),(85077,9),(85078,5),(85079,7),(85080,7),(85081,7),(85082,2),(85083,1),(85084,8),(85085,9),(85086,5),(85087,8),(85088,5),(85089,3),(85090,6),(85091,2),(85092,4),(85093,9),(85094,5),(85095,8),(85096,4),(85097,1),(85098,9),(85099,5),(85100,1),(85101,8),(85102,9),(85103,9),(85104,6),(85105,3),(85106,8),(85107,5),(85108,7),(85109,3),(85110,8),(85111,2),(85112,4),(85113,9),(85114,8),(85115,3),(85116,5),(85117,7),(85118,3),(85119,2),(85120,4),(85121,9),(85122,2),(85123,6),(85124,9),(85125,9),(85126,1),(85127,9),(85128,7),(85129,1),(85130,1),(85131,2),(85132,3),(85133,6),(85134,2),(85135,1),(85136,8),(85137,3),(85138,7),(85139,9),(85140,1),(85141,7),(85142,7),(85143,3),(85144,5),(85145,5),(85146,2),(85147,5),(85148,3),(85149,2),(85150,5),(85151,5),(85152,5),(85153,4),(85154,4),(85155,6),(85156,7),(85157,9),(85158,2),(85159,7),(85160,2),(85161,1),(85162,3),(85163,4),(85164,1),(85165,9),(85166,8),(85167,9),(85168,6),(85169,7),(85170,6),(85171,6),(85172,2),(85173,3),(85174,1),(85175,7),(85176,9),(85177,6),(85178,5),(85179,1),(85180,5),(85181,4),(85182,3),(85183,9),(85184,7),(85185,7),(85186,4),(85187,3),(85188,7),(85189,6),(85190,5),(85191,1),(85192,4),(85193,5),(85194,2),(85195,4),(85196,3),(85197,8),(85198,9),(85199,1),(85200,5),(85201,5),(85202,8),(85203,4),(85204,9),(85205,1),(85206,7),(85207,8),(85208,5),(85209,7),(85210,5),(85211,4),(85212,5),(85213,7),(85214,9),(85215,9),(85216,7),(85217,4),(85218,8),(85219,2),(85220,2),(85221,2),(85222,4),(85223,9),(85224,5),(85225,7),(85226,6),(85227,3),(85228,2),(85229,6),(85230,7),(85231,6),(85232,6),(85233,2),(85234,2),(85235,5),(85236,6),(85237,6),(85238,1),(85239,2),(85240,3),(85241,3),(85242,7),(85243,1),(85244,1),(85245,2),(85246,2),(85247,5),(85248,7),(85249,3),(85250,3),(85251,8),(85252,3),(85253,3),(85254,7),(85255,7),(85256,7),(85257,6),(85258,8),(85259,6),(85260,4),(85261,5),(85262,4),(85263,8),(85264,5),(85265,5),(85266,7),(85267,8),(85268,4),(85269,3),(85270,3),(85271,5),(85272,3),(85273,5),(85274,3),(85275,6),(85276,8),(85277,7),(85278,4),(85279,2),(85280,6),(85281,9),(85282,3),(85283,6),(85284,8),(85285,1),(85286,5),(85287,5),(85288,6),(85289,5),(85290,3),(85291,9),(85292,7),(85293,6),(85294,2),(85295,8),(85296,5),(85297,7),(85298,1),(85299,9),(85300,5),(85301,7),(85302,4),(85303,5),(85304,4),(85305,3),(85306,7),(85307,6),(85308,6),(85309,3),(85310,5),(85311,9),(85312,7),(85313,5),(85314,3),(85315,3),(85316,3),(85317,2),(85318,7),(85319,5),(85320,2),(85321,1),(85322,3),(85323,5),(85324,3),(85325,6),(85326,3),(85327,9),(85328,8),(85329,3),(85330,5),(85331,6),(85332,3),(85333,2),(85334,5),(85335,3),(85336,9),(85337,2),(85338,5),(85339,7),(85340,8),(85341,9),(85342,2),(85343,1),(85344,9),(85345,2),(85346,5),(85347,4),(85348,1),(85349,3),(85350,2),(85351,9),(85352,4),(85353,7),(85354,2),(85355,2),(85356,5),(85357,4),(85358,6),(85359,5),(85360,3),(85361,1),(85362,3),(85363,9),(85364,1),(85365,3),(85366,5),(85367,8),(85368,6),(85369,6),(85370,2),(85371,6),(85372,1),(85373,8),(85374,3),(85375,3),(85376,1),(85377,8),(85378,3),(85379,2),(85380,4),(85381,9),(85382,2),(85383,9),(85384,6),(85385,5),(85386,2),(85387,5),(85388,8),(85389,7),(85390,4),(85391,9),(85392,2),(85393,2),(85394,5),(85395,9),(85396,3),(85397,9),(85398,7),(85399,9),(85400,8),(85401,1),(85402,9),(85403,1),(85404,8),(85405,8),(85406,3),(85407,3),(85408,4),(85409,4),(85410,6),(85411,3),(85412,6),(85413,4),(85414,5),(85415,4),(85416,1),(85417,7),(85418,9),(85419,7),(85420,9),(85421,2),(85422,1),(85423,9),(85424,2),(85425,7),(85426,1),(85427,4),(85428,2),(85429,3),(85430,2),(85431,6),(85432,9),(85433,8),(85434,1),(85435,7),(85436,8),(85437,9),(85438,4),(85439,4),(85440,6),(85441,5),(85442,7),(85443,3),(85444,8),(85445,7),(85446,7),(85447,9),(85448,5),(85449,7),(85450,3),(85451,1),(85452,5),(85453,6),(85454,4),(85455,2),(85456,3),(85457,7),(85458,4),(85459,2),(85460,1),(85461,1),(85462,5),(85463,2),(85464,9),(85465,4),(85466,4),(85467,8),(85468,6),(85469,4),(85470,9),(85471,6),(85472,5),(85473,1),(85474,1),(85475,9),(85476,8),(85477,1),(85478,4),(85479,2),(85480,2),(85481,2),(85482,3),(85483,4),(85484,4),(85485,9),(85486,5),(85487,8),(85488,7),(85489,6),(85490,1),(85491,6),(85492,5),(85493,3),(85494,9),(85495,3),(85496,2),(85497,3),(85498,1),(85499,8),(85500,7),(85501,7),(85502,7),(85503,9),(85504,9),(85505,4),(85506,5),(85507,2),(85508,9),(85509,6),(85510,6),(85511,9),(85512,6),(85513,8),(85514,2),(85515,2),(85516,5),(85517,9),(85518,4),(85519,2),(85520,6),(85521,9),(85522,7),(85523,1),(85524,9),(85525,9),(85526,6),(85527,5),(85528,3),(85529,7),(85530,8),(85531,2),(85532,1),(85533,2),(85534,7),(85535,8),(85536,6),(85537,8),(85538,5),(85539,2),(85540,3),(85541,6),(85542,7),(85543,4),(85544,3),(85545,5),(85546,3),(85547,5),(85548,6),(85549,2),(85550,4),(85551,5),(85552,5),(85553,4),(85554,6),(85555,7),(85556,3),(85557,2),(85558,5),(85559,6),(85560,8),(85561,9),(85562,1),(85563,8),(85564,1),(85565,7),(85566,7),(85567,8),(85568,4),(85569,6),(85570,4),(85571,6),(85572,6),(85573,2),(85574,7),(85575,6),(85576,6),(85577,9),(85578,4),(85579,2),(85580,1),(85581,9),(85582,6),(85583,4),(85584,1),(85585,5),(85586,3),(85587,4),(85588,6),(85589,3),(85590,2),(85591,2),(85592,9),(85593,1),(85594,6),(85595,9),(85596,5),(85597,5),(85598,1),(85599,5),(85600,7),(85601,6),(85602,1),(85603,1),(85604,2),(85605,3),(85606,2),(85607,4),(85608,6),(85609,1),(85610,9),(85611,7),(85612,8),(85613,4),(85614,4),(85615,6),(85616,8),(85617,1),(85618,8),(85619,5),(85620,7),(85621,2),(85622,4),(85623,8),(85624,2),(85625,8),(85626,1),(85627,5),(85628,3),(85629,9),(85630,9),(85631,2),(85632,8),(85633,4),(85634,3),(85635,3),(85636,2),(85637,8),(85638,9),(85639,3),(85640,1),(85641,5),(85642,9),(85643,3),(85644,4),(85645,3),(85646,4),(85647,8),(85648,5),(85649,4),(85650,4),(85651,4),(85652,3),(85653,1),(85654,2),(85655,2),(85656,5),(85657,9),(85658,2),(85659,7),(85660,2),(85661,4),(85662,5),(85663,7),(85664,9),(85665,7),(85666,1),(85667,7),(85668,1),(85669,1),(85670,1),(85671,3),(85672,7),(85673,1),(85674,3),(85675,2),(85676,5),(85677,8),(85678,1),(85679,9),(85680,7),(85681,9),(85682,7),(85683,2),(85684,8),(85685,1),(85686,7),(85687,5),(85688,2),(85689,7),(85690,8),(85691,6),(85692,2),(85693,9),(85694,9),(85695,6),(85696,3),(85697,1),(85698,1),(85699,3),(85700,3),(85701,8),(85702,8),(85703,8),(85704,3),(85705,3),(85706,5),(85707,9),(85708,8),(85709,7),(85710,8),(85711,9),(85712,8),(85713,3),(85714,3),(85715,1),(85716,2),(85717,9),(85718,8),(85719,3),(85720,8),(85721,9),(85722,9),(85723,2),(85724,5),(85725,3),(85726,3),(85727,6),(85728,5),(85729,5),(85730,7),(85731,7),(85732,8),(85733,4),(85734,5),(85735,9),(85736,5),(85737,3),(85738,3),(85739,5),(85740,2),(85741,2),(85742,7),(85743,5),(85744,6),(85745,6),(85746,7),(85747,3),(85748,7),(85749,6),(85750,4),(85751,1),(85752,2),(85753,8),(85754,2),(85755,3),(85756,6),(85757,8),(85758,4),(85759,7),(85760,2),(85761,5),(85762,8),(85763,9),(85764,9),(85765,8),(85766,9),(85767,3),(85768,7),(85769,6),(85770,7),(85771,3),(85772,5),(85773,9),(85774,8),(85775,3),(85776,4),(85777,7),(85778,3),(85779,7),(85780,2),(85781,2),(85782,8),(85783,8),(85784,3),(85785,2),(85786,1),(85787,2),(85788,2),(85789,5),(85790,6),(85791,7),(85792,7),(85793,7),(85794,4),(85795,5),(85796,2),(85797,9),(85798,9),(85799,7),(85800,7),(85801,4),(85802,5),(85803,1),(85804,9),(85805,7),(85806,9),(85807,3),(85808,1),(85809,6),(85810,6),(85811,3),(85812,5),(85813,1),(85814,4),(85815,8),(85816,4),(85817,2),(85818,1),(85819,5),(85820,5),(85821,4),(85822,7),(85823,6),(85824,4),(85825,4),(85826,7),(85827,7),(85828,5),(85829,8),(85830,6),(85831,2),(85832,6),(85833,4),(85834,6),(85835,2),(85836,1),(85837,4),(85838,1),(85839,4),(85840,1),(85841,3),(85842,5),(85843,8),(85844,7),(85845,1),(85846,9),(85847,7),(85848,9),(85849,1),(85850,1),(85851,3),(85852,6),(85853,5),(85854,5),(85855,9),(85856,9),(85857,6),(85858,7),(85859,2),(85860,5),(85861,3),(85862,1),(85863,8),(85864,3),(85865,3),(85866,7),(85867,8),(85868,3),(85869,6),(85870,1),(85871,2),(85872,9),(85873,7),(85874,7),(85875,4),(85876,2),(85877,7),(85878,3),(85879,6),(85880,5),(85881,4),(85882,3),(85883,5),(85884,7),(85885,9),(85886,7),(85887,6),(85888,7),(85889,3),(85890,3),(85891,5),(85892,5),(85893,9),(85894,1),(85895,8),(85896,4),(85897,2),(85898,6),(85899,3),(85900,3),(85901,2),(85902,1),(85903,9),(85904,3),(85905,6),(85906,7),(85907,9),(85908,3),(85909,3),(85910,7),(85911,5),(85912,7),(85913,4),(85914,3),(85915,6),(85916,1),(85917,1),(85918,4),(85919,7),(85920,2),(85921,1),(85922,6),(85923,5),(85924,1),(85925,9),(85926,3),(85927,2),(85928,3),(85929,4),(85930,9),(85931,1),(85932,1),(85933,9),(85934,3),(85935,7),(85936,6),(85937,3),(85938,7),(85939,6),(85940,8),(85941,9),(85942,2),(85943,3),(85944,5),(85945,1),(85946,5),(85947,3),(85948,9),(85949,9),(85950,1),(85951,9),(85952,2),(85953,7),(85954,4),(85955,2),(85956,2),(85957,4),(85958,7),(85959,8),(85960,3),(85961,7),(85962,8),(85963,4),(85964,1),(85965,5),(85966,1),(85967,8),(85968,2),(85969,6),(85970,7),(85971,8),(85972,3),(85973,1),(85974,1),(85975,6),(85976,8),(85977,2),(85978,3),(85979,2),(85980,1),(85981,6),(85982,3),(85983,4),(85984,9),(85985,3),(85986,8),(85987,4),(85988,5),(85989,2),(85990,8),(85991,1),(85992,1),(85993,4),(85994,9),(85995,3),(85996,8),(85997,7),(85998,3),(85999,3),(86000,4),(86001,5),(86002,9),(86003,9),(86004,6),(86005,1),(86006,9),(86007,7),(86008,3),(86009,1),(86010,2),(86011,2),(86012,2),(86013,3),(86014,7),(86015,7),(86016,8),(86017,3),(86018,9),(86019,5),(86020,7),(86021,8),(86022,1),(86023,1),(86024,7),(86025,8),(86026,1),(86027,4),(86028,4),(86029,9),(86030,9),(86031,1),(86032,1),(86033,2),(86034,8),(86035,3),(86036,1),(86037,6),(86038,2),(86039,2),(86040,6),(86041,4),(86042,5),(86043,7),(86044,5),(86045,8),(86046,9),(86047,6),(86048,3),(86049,4),(86050,7),(86051,9),(86052,7),(86053,7),(86054,1),(86055,8),(86056,7),(86057,6),(86058,2),(86059,6),(86060,5),(86061,8),(86062,7),(86063,5),(86064,7),(86065,2),(86066,7),(86067,1),(86068,5),(86069,1),(86070,2),(86071,1),(86072,8),(86073,6),(86074,1),(86075,7),(86076,9),(86077,3),(86078,4),(86079,6),(86080,3),(86081,6),(86082,3),(86083,3),(86084,2),(86085,9),(86086,6),(86087,8),(86088,9),(86089,5),(86090,7),(86091,6),(86092,8),(86093,5),(86094,7),(86095,8),(86096,1),(86097,7),(86098,7),(86099,7),(86100,5),(86101,5),(86102,8),(86103,9),(86104,8),(86105,9),(86106,1),(86107,4),(86108,1),(86109,8),(86110,2),(86111,7),(86112,5),(86113,3),(86114,8),(86115,7),(86116,2),(86117,6),(86118,7),(86119,8),(86120,8),(86121,3),(86122,3),(86123,6),(86124,8),(86125,7),(86126,4),(86127,4),(86128,8),(86129,1),(86130,9),(86131,4),(86132,1),(86133,1),(86134,8),(86135,3),(86136,7),(86137,7),(86138,7),(86139,8),(86140,9),(86141,8),(86142,1),(86143,3),(86144,2),(86145,3),(86146,5),(86147,2),(86148,6),(86149,8),(86150,5),(86151,7),(86152,9),(86153,8),(86154,5),(86155,5),(86156,7),(86157,5),(86158,9),(86159,2),(86160,8),(86161,8),(86162,4),(86163,5),(86164,1),(86165,8),(86166,4),(86167,8),(86168,1),(86169,7),(86170,9),(86171,2),(86172,7),(86173,8),(86174,8),(86175,2),(86176,5),(86177,1),(86178,8),(86179,3),(86180,8),(86181,7),(86182,9),(86183,2),(86184,5),(86185,8),(86186,5),(86187,3),(86188,3),(86189,4),(86190,3),(86191,1),(86192,2),(86193,5),(86194,1),(86195,5),(86196,4),(86197,4),(86198,1),(86199,7),(86200,7),(86201,9),(86202,3),(86203,8),(86204,2),(86205,7),(86206,7),(86207,2),(86208,6),(86209,3),(86210,3),(86211,9),(86212,1),(86213,1),(86214,2),(86215,3),(86216,1),(86217,3),(86218,8),(86219,8),(86220,6),(86221,6),(86222,7),(86223,4),(86224,8),(86225,1),(86226,6),(86227,3),(86228,2),(86229,1),(86230,2),(86231,7),(86232,7),(86233,2),(86234,5),(86235,2),(86236,3),(86237,5),(86238,8),(86239,6),(86240,5),(86241,2),(86242,8),(86243,9),(86244,9),(86245,6),(86246,9),(86247,3),(86248,5),(86249,4),(86250,5),(86251,8),(86252,1),(86253,9),(86254,5),(86255,2),(86256,4),(86257,9),(86258,8),(86259,5),(86260,1),(86261,9),(86262,5),(86263,9),(86264,8),(86265,7),(86266,4),(86267,6),(86268,2),(86269,9),(86270,6),(86271,4),(86272,4),(86273,7),(86274,6),(86275,6),(86276,1),(86277,7),(86278,8),(86279,3),(86280,7),(86281,4),(86282,3),(86283,2),(86284,4),(86285,4),(86286,9),(86287,2),(86288,8),(86289,6),(86290,9),(86291,6),(86292,8),(86293,5),(86294,7),(86295,1),(86296,6),(86297,6),(86298,2),(86299,3),(86300,5),(86301,8),(86302,6),(86303,1),(86304,4),(86305,6),(86306,3),(86307,8),(86308,9),(86309,6),(86310,8),(86311,1),(86312,9),(86313,3),(86314,4),(86315,2),(86316,7),(86317,2),(86318,7),(86319,4),(86320,5),(86321,4),(86322,9),(86323,8),(86324,8),(86325,6),(86326,1),(86327,7),(86328,4),(86329,6),(86330,7),(86331,9),(86332,8),(86333,1),(86334,4),(86335,5),(86336,6),(86337,5),(86338,4),(86339,3),(86340,8),(86341,8),(86342,3),(86343,1),(86344,3),(86345,5),(86346,8),(86347,9),(86348,4),(86349,8),(86350,7),(86351,5),(86352,8),(86353,4),(86354,6),(86355,2),(86356,3),(86357,1),(86358,9),(86359,3),(86360,1),(86361,8),(86362,2),(86363,4),(86364,6),(86365,7),(86366,5),(86367,1),(86368,8),(86369,1),(86370,3),(86371,8),(86372,9),(86373,8),(86374,3),(86375,9),(86376,3),(86377,6),(86378,1),(86379,2),(86380,6),(86381,6),(86382,8),(86383,6),(86384,5),(86385,9),(86386,7),(86387,7),(86388,9),(86389,4),(86390,5),(86391,9),(86392,5),(86393,1),(86394,6),(86395,9),(86396,2),(86397,4),(86398,3),(86399,7),(86400,4),(86401,4),(86402,7),(86403,9),(86404,5),(86405,8),(86406,6),(86407,3),(86408,3),(86409,7),(86410,3),(86411,6),(86412,2),(86413,1),(86414,2),(86415,5),(86416,1),(86417,5),(86418,7),(86419,6),(86420,9),(86421,4),(86422,1),(86423,2),(86424,7),(86425,3),(86426,2),(86427,1),(86428,7),(86429,5),(86430,5),(86431,2),(86432,8),(86433,9),(86434,4),(86435,8),(86436,1),(86437,5),(86438,7),(86439,7),(86440,8),(86441,7),(86442,2),(86443,3),(86444,2),(86445,7),(86446,9),(86447,9),(86448,4),(86449,1),(86450,3),(86451,4),(86452,9),(86453,3),(86454,6),(86455,4),(86456,1),(86457,8),(86458,6),(86459,9),(86460,1),(86461,1),(86462,6),(86463,1),(86464,4),(86465,7),(86466,3),(86467,2),(86468,2),(86469,5),(86470,7),(86471,9),(86472,2),(86473,6),(86474,5),(86475,8),(86476,2),(86477,4),(86478,2),(86479,2),(86480,3),(86481,2),(86482,4),(86483,1),(86484,5),(86485,9),(86486,7),(86487,3),(86488,4),(86489,3),(86490,9),(86491,7),(86492,3),(86493,6),(86494,7),(86495,3),(86496,8),(86497,6),(86498,8),(86499,5),(86500,5),(86501,5),(86502,7),(86503,1),(86504,2),(86505,4),(86506,4),(86507,8),(86508,6),(86509,8),(86510,6),(86511,8),(86512,1),(86513,3),(86514,8),(86515,8),(86516,6),(86517,6),(86518,1),(86519,2),(86520,9),(86521,2),(86522,7),(86523,3),(86524,6),(86525,8),(86526,7),(86527,4),(86528,1),(86529,1),(86530,5),(86531,7),(86532,8),(86533,5),(86534,4),(86535,4),(86536,8),(86537,1),(86538,5),(86539,2),(86540,2),(86541,4),(86542,7),(86543,1),(86544,2),(86545,3),(86546,8),(86547,4),(86548,2),(86549,7),(86550,3),(86551,3),(86552,1),(86553,8),(86554,1),(86555,9),(86556,3),(86557,8),(86558,5),(86559,4),(86560,3),(86561,5),(86562,6),(86563,6),(86564,6),(86565,6),(86566,7),(86567,5),(86568,1),(86569,6),(86570,2),(86571,4),(86572,4),(86573,5),(86574,2),(86575,4),(86576,7),(86577,8),(86578,6),(86579,6),(86580,9),(86581,7),(86582,4),(86583,3),(86584,1),(86585,1),(86586,2),(86587,1),(86588,9),(86589,3),(86590,6),(86591,6),(86592,9),(86593,5),(86594,5),(86595,6),(86596,8),(86597,2),(86598,5),(86599,2),(86600,1),(86601,2),(86602,5),(86603,2),(86604,6),(86605,9),(86606,3),(86607,5),(86608,6),(86609,5),(86610,1),(86611,1),(86612,7),(86613,6),(86614,3),(86615,8),(86616,1),(86617,3),(86618,2),(86619,9),(86620,3),(86621,6),(86622,9),(86623,7),(86624,6),(86625,6),(86626,5),(86627,2),(86628,1),(86629,5),(86630,9),(86631,7),(86632,1),(86633,5),(86634,9),(86635,3),(86636,3),(86637,4),(86638,7),(86639,5),(86640,4),(86641,4),(86642,1),(86643,6),(86644,4),(86645,5),(86646,1),(86647,7),(86648,6),(86649,6),(86650,4),(86651,4),(86652,4),(86653,2),(86654,1),(86655,6),(86656,9),(86657,1),(86658,7),(86659,5),(86660,1),(86661,9),(86662,2),(86663,2),(86664,2),(86665,4),(86666,1),(86667,1),(86668,8),(86669,9),(86670,8),(86671,2),(86672,5),(86673,6),(86674,1),(86675,4),(86676,5),(86677,6),(86678,1),(86679,5),(86680,3),(86681,9),(86682,5),(86683,6),(86684,1),(86685,2),(86686,4),(86687,8),(86688,8),(86689,1),(86690,2),(86691,8),(86692,8),(86693,3),(86694,1),(86695,9),(86696,9),(86697,8),(86698,6),(86699,3),(86700,8),(86701,2),(86702,7),(86703,7),(86704,7),(86705,2),(86706,8),(86707,8),(86708,7),(86709,2),(86710,5),(86711,2),(86712,8),(86713,4),(86714,7),(86715,2),(86716,4),(86717,9),(86718,6),(86719,3),(86720,1),(86721,7),(86722,6),(86723,3),(86724,8),(86725,2),(86726,4),(86727,1),(86728,6),(86729,2),(86730,6),(86731,9),(86732,8),(86733,9),(86734,1),(86735,8),(86736,4),(86737,3),(86738,1),(86739,7),(86740,4),(86741,8),(86742,6),(86743,5),(86744,5),(86745,6),(86746,6),(86747,4),(86748,2),(86749,9),(86750,2),(86751,5),(86752,8),(86753,2),(86754,4),(86755,6),(86756,3),(86757,1),(86758,1),(86759,6),(86760,9),(86761,3),(86762,2),(86763,4),(86764,5),(86765,7),(86766,9),(86767,8),(86768,5),(86769,8),(86770,2),(86771,2),(86772,1),(86773,7),(86774,9),(86775,1),(86776,6),(86777,8),(86778,3),(86779,8),(86780,8),(86781,3),(86782,4),(86783,3),(86784,4),(86785,6),(86786,3),(86787,2),(86788,8),(86789,9),(86790,7),(86791,4),(86792,1),(86793,8),(86794,1),(86795,4),(86796,7),(86797,3),(86798,5),(86799,8),(86800,4),(86801,2),(86802,7),(86803,7),(86804,8),(86805,3),(86806,6),(86807,3),(86808,6),(86809,6),(86810,5),(86811,3),(86812,2),(86813,2),(86814,6),(86815,3),(86816,7),(86817,3),(86818,7),(86819,7),(86820,3),(86821,7),(86822,2),(86823,3),(86824,8),(86825,7),(86826,9),(86827,1),(86828,1),(86829,3),(86830,5),(86831,8),(86832,5),(86833,3),(86834,3),(86835,1),(86836,5),(86837,1),(86838,7),(86839,6),(86840,1),(86841,8),(86842,9),(86843,5),(86844,3),(86845,8),(86846,5),(86847,1),(86848,9),(86849,4),(86850,5),(86851,2),(86852,2),(86853,3),(86854,5),(86855,7),(86856,6),(86857,2),(86858,5),(86859,5),(86860,6),(86861,2),(86862,5),(86863,3),(86864,4),(86865,2),(86866,1),(86867,4),(86868,8),(86869,8),(86870,4),(86871,1),(86872,8),(86873,6),(86874,3),(86875,8),(86876,9),(86877,8),(86878,6),(86879,1),(86880,5),(86881,5),(86882,8),(86883,9),(86884,8),(86885,6),(86886,5),(86887,8),(86888,8),(86889,8),(86890,2),(86891,5),(86892,2),(86893,3),(86894,2),(86895,7),(86896,5),(86897,5),(86898,6),(86899,7),(86900,2),(86901,9),(86902,7),(86903,1),(86904,7),(86905,6),(86906,7),(86907,1),(86908,2),(86909,9),(86910,2),(86911,7),(86912,4),(86913,1),(86914,4),(86915,4),(86916,6),(86917,9),(86918,8),(86919,2),(86920,2),(86921,2),(86922,1),(86923,2),(86924,8),(86925,1),(86926,1),(86927,4),(86928,7),(86929,2),(86930,3),(86931,7),(86932,4),(86933,1),(86934,2),(86935,1),(86936,9),(86937,4),(86938,9),(86939,8),(86940,5),(86941,8),(86942,3),(86943,7),(86944,6),(86945,8),(86946,4),(86947,2),(86948,3),(86949,7),(86950,8),(86951,3),(86952,4),(86953,8),(86954,9),(86955,6),(86956,4),(86957,8),(86958,7),(86959,4),(86960,4),(86961,9),(86962,9),(86963,5),(86964,7),(86965,2),(86966,9),(86967,8),(86968,3),(86969,8),(86970,6),(86971,9),(86972,6),(86973,6),(86974,5),(86975,4),(86976,2),(86977,2),(86978,6),(86979,9),(86980,6),(86981,2),(86982,7),(86983,3),(86984,2),(86985,6),(86986,5),(86987,5),(86988,3),(86989,1),(86990,3),(86991,3),(86992,3),(86993,2),(86994,8),(86995,1),(86996,4),(86997,7),(86998,9),(86999,2),(87000,6),(87001,9),(87002,2),(87003,9),(87004,9),(87005,7),(87006,8),(87007,3),(87008,4),(87009,7),(87010,5),(87011,7),(87012,1),(87013,3),(87014,9),(87015,3),(87016,5),(87017,2),(87018,7),(87019,3),(87020,3),(87021,5),(87022,8),(87023,9),(87024,4),(87025,6),(87026,7),(87027,4),(87028,2),(87029,7),(87030,1),(87031,6),(87032,4),(87033,2),(87034,9),(87035,1),(87036,2),(87037,5),(87038,7),(87039,9),(87040,9),(87041,5),(87042,8),(87043,9),(87044,5),(87045,8),(87046,5),(87047,5),(87048,8),(87049,5),(87050,9),(87051,1),(87052,3),(87053,8),(87054,2),(87055,2),(87056,2),(87057,9),(87058,1),(87059,1),(87060,2),(87061,1),(87062,5),(87063,5),(87064,3),(87065,7),(87066,3),(87067,1),(87068,9),(87069,8),(87070,7),(87071,3),(87072,1),(87073,5),(87074,9),(87075,4),(87076,5),(87077,4),(87078,2),(87079,6),(87080,8),(87081,5),(87082,6),(87083,2),(87084,3),(87085,3),(87086,3),(87087,2),(87088,5),(87089,8),(87090,7),(87091,9),(87092,4),(87093,9),(87094,1),(87095,8),(87096,3),(87097,8),(87098,1),(87099,4),(87100,7),(87101,6),(87102,3),(87103,7),(87104,2),(87105,3),(87106,1),(87107,1),(87108,8),(87109,2),(87110,6),(87111,2),(87112,6),(87113,1),(87114,1),(87115,9),(87116,9),(87117,6),(87118,8),(87119,6),(87120,6),(87121,7),(87122,7),(87123,8),(87124,2),(87125,2),(87126,8),(87127,7),(87128,4),(87129,1),(87130,6),(87131,7),(87132,1),(87133,3),(87134,4),(87135,1),(87136,3),(87137,3),(87138,9),(87139,1),(87140,3),(87141,2),(87142,5),(87143,5),(87144,3),(87145,6),(87146,2),(87147,3),(87148,1),(87149,7),(87150,5),(87151,6),(87152,6),(87153,3),(87154,5),(87155,5),(87156,5),(87157,3),(87158,3),(87159,6),(87160,7),(87161,1),(87162,1),(87163,2),(87164,6),(87165,1),(87166,4),(87167,3),(87168,7),(87169,6),(87170,6),(87171,6),(87172,9),(87173,6),(87174,4),(87175,2),(87176,6),(87177,6),(87178,4),(87179,9),(87180,8),(87181,6),(87182,5),(87183,3),(87184,5),(87185,1),(87186,5),(87187,5),(87188,7),(87189,2),(87190,5),(87191,9),(87192,7),(87193,9),(87194,9),(87195,6),(87196,3),(87197,3),(87198,5),(87199,2),(87200,5),(87201,3),(87202,8),(87203,3),(87204,8),(87205,2),(87206,7),(87207,3),(87208,5),(87209,8),(87210,5),(87211,6),(87212,3),(87213,1),(87214,8),(87215,3),(87216,9),(87217,2),(87218,8),(87219,4),(87220,7),(87221,7),(87222,4),(87223,5),(87224,3),(87225,6),(87226,4),(87227,8),(87228,4),(87229,4),(87230,4),(87231,9),(87232,8),(87233,5),(87234,9),(87235,7),(87236,4),(87237,1),(87238,5),(87239,8),(87240,6),(87241,9),(87242,7),(87243,8),(87244,5),(87245,7),(87246,6),(87247,2),(87248,1),(87249,7),(87250,2),(87251,3),(87252,5),(87253,9),(87254,1),(87255,8),(87256,3),(87257,6),(87258,9),(87259,6),(87260,9),(87261,4),(87262,7),(87263,2),(87264,9),(87265,5),(87266,1),(87267,9),(87268,9),(87269,8),(87270,9),(87271,2),(87272,7),(87273,8),(87274,8),(87275,4),(87276,3),(87277,1),(87278,1),(87279,6),(87280,6),(87281,5),(87282,2),(87283,3),(87284,8),(87285,5),(87286,5),(87287,7),(87288,2),(87289,2),(87290,5),(87291,2),(87292,7),(87293,4),(87294,4),(87295,8),(87296,9),(87297,4),(87298,3),(87299,3),(87300,7),(87301,3),(87302,9),(87303,5),(87304,7),(87305,6),(87306,1),(87307,6),(87308,7),(87309,4),(87310,9),(87311,6),(87312,9),(87313,6),(87314,7),(87315,4),(87316,2),(87317,7),(87318,1),(87319,1),(87320,2),(87321,4),(87322,5),(87323,3),(87324,6),(87325,2),(87326,6),(87327,3),(87328,7),(87329,7),(87330,6),(87331,1),(87332,1),(87333,5),(87334,6),(87335,1),(87336,9),(87337,6),(87338,8),(87339,5),(87340,5),(87341,8),(87342,3),(87343,9),(87344,1),(87345,5),(87346,9),(87347,4),(87348,5),(87349,2),(87350,1),(87351,3),(87352,4),(87353,3),(87354,5),(87355,5),(87356,1),(87357,2),(87358,4),(87359,6),(87360,6),(87361,9),(87362,1),(87363,7),(87364,7),(87365,6),(87366,1),(87367,4),(87368,7),(87369,2),(87370,6),(87371,2),(87372,5),(87373,5),(87374,8),(87375,4),(87376,4),(87377,4),(87378,7),(87379,4),(87380,1),(87381,9),(87382,2),(87383,5),(87384,9),(87385,4),(87386,1),(87387,6),(87388,8),(87389,2),(87390,8),(87391,8),(87392,6),(87393,4),(87394,7),(87395,3),(87396,4),(87397,2),(87398,8),(87399,1),(87400,1),(87401,1),(87402,4),(87403,1),(87404,3),(87405,2),(87406,1),(87407,6),(87408,1),(87409,9),(87410,1),(87411,1),(87412,7),(87413,4),(87414,1),(87415,4),(87416,2),(87417,1),(87418,3),(87419,6),(87420,9),(87421,8),(87422,2),(87423,6),(87424,1),(87425,1),(87426,3),(87427,3),(87428,7),(87429,1),(87430,6),(87431,3),(87432,7),(87433,1),(87434,4),(87435,6),(87436,9),(87437,1),(87438,9),(87439,8),(87440,1),(87441,6),(87442,1),(87443,3),(87444,6),(87445,2),(87446,2),(87447,1),(87448,3),(87449,2),(87450,6),(87451,6),(87452,8),(87453,9),(87454,2),(87455,3),(87456,8),(87457,7),(87458,3),(87459,8),(87460,8),(87461,8),(87462,1),(87463,5),(87464,9),(87465,9),(87466,9),(87467,2),(87468,2),(87469,2),(87470,7),(87471,5),(87472,6),(87473,2),(87474,1),(87475,1),(87476,4),(87477,1),(87478,5),(87479,5),(87480,4),(87481,4),(87482,7),(87483,1),(87484,9),(87485,9),(87486,2),(87487,6),(87488,1),(87489,7),(87490,6),(87491,3),(87492,9),(87493,5),(87494,6),(87495,6),(87496,3),(87497,6),(87498,6),(87499,9),(87500,5),(87501,5),(87502,9),(87503,5),(87504,1),(87505,8),(87506,2),(87507,4),(87508,6),(87509,8),(87510,3),(87511,4),(87512,5),(87513,8),(87514,9),(87515,8),(87516,9),(87517,9),(87518,5),(87519,1),(87520,9),(87521,1),(87522,9),(87523,5),(87524,2),(87525,3),(87526,2),(87527,4),(87528,2),(87529,4),(87530,1),(87531,1),(87532,6),(87533,6),(87534,5),(87535,6),(87536,1),(87537,4),(87538,4),(87539,3),(87540,4),(87541,2),(87542,6),(87543,3),(87544,3),(87545,6),(87546,3),(87547,9),(87548,6),(87549,9),(87550,4),(87551,8),(87552,3),(87553,2),(87554,6),(87555,3),(87556,2),(87557,9),(87558,4),(87559,4),(87560,3),(87561,7),(87562,3),(87563,3),(87564,8),(87565,7),(87566,2),(87567,3),(87568,2),(87569,5),(87570,4),(87571,4),(87572,8),(87573,1),(87574,6),(87575,8),(87576,1),(87577,2),(87578,3),(87579,6),(87580,6),(87581,6),(87582,2),(87583,6),(87584,6),(87585,6),(87586,1),(87587,5),(87588,8),(87589,2),(87590,6),(87591,6),(87592,2),(87593,4),(87594,9),(87595,5),(87596,2),(87597,8),(87598,5),(87599,2),(87600,6),(87601,2),(87602,2),(87603,5),(87604,5),(87605,3),(87606,5),(87607,8),(87608,6),(87609,1),(87610,5),(87611,1),(87612,6),(87613,8),(87614,5),(87615,3),(87616,8),(87617,4),(87618,2),(87619,7),(87620,1),(87621,6),(87622,7),(87623,5),(87624,5),(87625,4),(87626,5),(87627,3),(87628,3),(87629,5),(87630,7),(87631,7),(87632,8),(87633,2),(87634,6),(87635,7),(87636,8),(87637,6),(87638,7),(87639,5),(87640,4),(87641,3),(87642,2),(87643,5),(87644,1),(87645,7),(87646,4),(87647,9),(87648,1),(87649,3),(87650,1),(87651,3),(87652,3),(87653,5),(87654,7),(87655,3),(87656,5),(87657,6),(87658,1),(87659,8),(87660,5),(87661,1),(87662,6),(87663,5),(87664,6),(87665,9),(87666,1),(87667,3),(87668,3),(87669,2),(87670,9),(87671,3),(87672,8),(87673,8),(87674,7),(87675,8),(87676,1),(87677,5),(87678,4),(87679,5),(87680,4),(87681,7),(87682,6),(87683,7),(87684,6),(87685,3),(87686,8),(87687,1),(87688,7),(87689,4),(87690,2),(87691,3),(87692,5),(87693,2),(87694,8),(87695,2),(87696,8),(87697,6),(87698,7),(87699,9),(87700,1),(87701,1),(87702,2),(87703,1),(87704,2),(87705,7),(87706,9),(87707,1),(87708,7),(87709,3),(87710,3),(87711,4),(87712,9),(87713,7),(87714,9),(87715,6),(87716,4),(87717,6),(87718,9),(87719,3),(87720,1),(87721,4),(87722,2),(87723,4),(87724,6),(87725,5),(87726,8),(87727,7),(87728,2),(87729,7),(87730,9),(87731,5),(87732,3),(87733,3),(87734,3),(87735,6),(87736,2),(87737,8),(87738,6),(87739,5),(87740,7),(87741,5),(87742,7),(87743,9),(87744,3),(87745,6),(87746,5),(87747,6),(87748,6),(87749,6),(87750,9),(87751,9),(87752,3),(87753,5),(87754,8),(87755,6),(87756,8),(87757,8),(87758,8),(87759,3),(87760,8),(87761,9),(87762,1),(87763,1),(87764,3),(87765,3),(87766,4),(87767,3),(87768,4),(87769,8),(87770,8),(87771,5),(87772,2),(87773,6),(87774,3),(87775,1),(87776,5),(87777,8),(87778,6),(87779,2),(87780,5),(87781,8),(87782,7),(87783,9),(87784,5),(87785,5),(87786,4),(87787,4),(87788,5),(87789,5),(87790,1),(87791,7),(87792,2),(87793,7),(87794,2),(87795,7),(87796,3),(87797,9),(87798,7),(87799,9),(87800,6),(87801,1),(87802,1),(87803,6),(87804,6),(87805,6),(87806,3),(87807,8),(87808,1),(87809,7),(87810,9),(87811,4),(87812,9),(87813,7),(87814,2),(87815,4),(87816,8),(87817,2),(87818,8),(87819,9),(87820,6),(87821,9),(87822,2),(87823,6),(87824,3),(87825,4),(87826,6),(87827,6),(87828,8),(87829,8),(87830,9),(87831,2),(87832,2),(87833,2),(87834,8),(87835,1),(87836,2),(87837,6),(87838,9),(87839,7),(87840,2),(87841,4),(87842,8),(87843,4),(87844,1),(87845,4),(87846,2),(87847,9),(87848,3),(87849,2),(87850,2),(87851,4),(87852,5),(87853,9),(87854,8),(87855,8),(87856,1),(87857,1),(87858,8),(87859,6),(87860,2),(87861,5),(87862,9),(87863,7),(87864,4),(87865,6),(87866,6),(87867,4),(87868,7),(87869,3),(87870,1),(87871,4),(87872,4),(87873,2),(87874,9),(87875,5),(87876,8),(87877,1),(87878,8),(87879,5),(87880,1),(87881,1),(87882,7),(87883,7),(87884,1),(87885,7),(87886,1),(87887,6),(87888,1),(87889,7),(87890,9),(87891,6),(87892,7),(87893,4),(87894,5),(87895,7),(87896,5),(87897,4),(87898,7),(87899,6),(87900,2),(87901,5),(87902,8),(87903,6),(87904,8),(87905,8),(87906,7),(87907,2),(87908,3),(87909,6),(87910,6),(87911,4),(87912,3),(87913,6),(87914,5),(87915,8),(87916,2),(87917,2),(87918,3),(87919,1),(87920,8),(87921,9),(87922,8),(87923,3),(87924,2),(87925,8),(87926,5),(87927,3),(87928,3),(87929,3),(87930,6),(87931,3),(87932,7),(87933,7),(87934,4),(87935,9),(87936,5),(87937,9),(87938,9),(87939,9),(87940,8),(87941,1),(87942,2),(87943,2),(87944,4),(87945,3),(87946,8),(87947,7),(87948,5),(87949,6),(87950,2),(87951,7),(87952,2),(87953,9),(87954,4),(87955,2),(87956,4),(87957,3),(87958,9),(87959,6),(87960,5),(87961,8),(87962,1),(87963,9),(87964,3),(87965,2),(87966,3),(87967,3),(87968,8),(87969,7),(87970,3),(87971,6),(87972,9),(87973,6),(87974,3),(87975,6),(87976,4),(87977,8),(87978,3),(87979,5),(87980,4),(87981,2),(87982,7),(87983,3),(87984,9),(87985,8),(87986,5),(87987,7),(87988,4),(87989,3),(87990,4),(87991,3),(87992,3),(87993,1),(87994,6),(87995,2),(87996,1),(87997,2),(87998,2),(87999,9),(88000,7),(88001,1),(88002,3),(88003,4),(88004,2),(88005,5),(88006,3),(88007,1),(88008,5),(88009,8),(88010,8),(88011,3),(88012,3),(88013,6),(88014,9),(88015,2),(88016,1),(88017,9),(88018,6),(88019,3),(88020,6),(88021,9),(88022,8),(88023,9),(88024,7),(88025,7),(88026,1),(88027,5),(88028,7),(88029,3),(88030,3),(88031,5),(88032,2),(88033,9),(88034,1),(88035,8),(88036,6),(88037,1),(88038,9),(88039,5),(88040,6),(88041,4),(88042,1),(88043,9),(88044,8),(88045,9),(88046,4),(88047,1),(88048,5),(88049,8),(88050,1),(88051,2),(88052,3),(88053,6),(88054,6),(88055,2),(88056,2),(88057,3),(88058,4),(88059,4),(88060,5),(88061,2),(88062,3),(88063,5),(88064,7),(88065,6),(88066,4),(88067,3),(88068,5),(88069,8),(88070,4),(88071,8),(88072,8),(88073,4),(88074,7),(88075,9),(88076,2),(88077,4),(88078,9),(88079,4),(88080,2),(88081,4),(88082,6),(88083,2),(88084,8),(88085,2),(88086,1),(88087,3),(88088,6),(88089,2),(88090,8),(88091,2),(88092,9),(88093,8),(88094,4),(88095,4),(88096,5),(88097,7),(88098,6),(88099,9),(88100,4),(88101,4),(88102,8),(88103,4),(88104,3),(88105,7),(88106,2),(88107,6),(88108,2),(88109,3),(88110,6),(88111,5),(88112,6),(88113,9),(88114,2),(88115,8),(88116,5),(88117,4),(88118,1),(88119,9),(88120,9),(88121,4),(88122,8),(88123,4),(88124,2),(88125,2),(88126,7),(88127,6),(88128,6),(88129,6),(88130,8),(88131,9),(88132,8),(88133,3),(88134,8),(88135,6),(88136,9),(88137,4),(88138,2),(88139,3),(88140,8),(88141,4),(88142,9),(88143,6),(88144,5),(88145,6),(88146,3),(88147,4),(88148,6),(88149,8),(88150,1),(88151,1),(88152,4),(88153,2),(88154,1),(88155,5),(88156,3),(88157,2),(88158,4),(88159,7),(88160,6),(88161,6),(88162,7),(88163,8),(88164,9),(88165,5),(88166,9),(88167,5),(88168,8),(88169,4),(88170,6),(88171,9),(88172,2),(88173,3),(88174,4),(88175,5),(88176,6),(88177,2),(88178,6),(88179,1),(88180,9),(88181,2),(88182,7),(88183,7),(88184,4),(88185,4),(88186,4),(88187,5),(88188,8),(88189,5),(88190,8),(88191,5),(88192,2),(88193,2),(88194,9),(88195,5),(88196,6),(88197,1),(88198,9),(88199,9),(88200,8),(88201,8),(88202,3),(88203,1),(88204,3),(88205,7),(88206,4),(88207,3),(88208,9),(88209,4),(88210,7),(88211,7),(88212,1),(88213,6),(88214,1),(88215,5),(88216,4),(88217,7),(88218,2),(88219,4),(88220,3),(88221,7),(88222,6),(88223,8),(88224,8),(88225,6),(88226,2),(88227,6),(88228,6),(88229,8),(88230,5),(88231,8),(88232,8),(88233,1),(88234,8),(88235,9),(88236,7),(88237,8),(88238,2),(88239,7),(88240,8),(88241,7),(88242,1),(88243,2),(88244,3),(88245,7),(88246,2),(88247,1),(88248,1),(88249,2),(88250,7),(88251,7),(88252,7),(88253,7),(88254,7),(88255,5),(88256,1),(88257,7),(88258,1),(88259,1),(88260,2),(88261,6),(88262,3),(88263,2),(88264,8),(88265,9),(88266,2),(88267,9),(88268,1),(88269,1),(88270,9),(88271,9),(88272,5),(88273,7),(88274,4),(88275,9),(88276,1),(88277,1),(88278,9),(88279,6),(88280,4),(88281,6),(88282,7),(88283,9),(88284,1),(88285,1),(88286,4),(88287,9),(88288,5),(88289,5),(88290,4),(88291,2),(88292,4),(88293,9),(88294,4),(88295,9),(88296,8),(88297,7),(88298,4),(88299,8),(88300,3),(88301,1),(88302,3),(88303,4),(88304,3),(88305,6),(88306,7),(88307,2),(88308,4),(88309,4),(88310,5),(88311,6),(88312,6),(88313,6),(88314,3),(88315,8),(88316,2),(88317,3),(88318,7),(88319,7),(88320,7),(88321,7),(88322,4),(88323,4),(88324,8),(88325,6),(88326,9),(88327,3),(88328,8),(88329,1),(88330,9),(88331,8),(88332,1),(88333,2),(88334,1),(88335,6),(88336,2),(88337,3),(88338,9),(88339,4),(88340,1),(88341,3),(88342,7),(88343,4),(88344,2),(88345,3),(88346,5),(88347,5),(88348,9),(88349,4),(88350,5),(88351,4),(88352,6),(88353,9),(88354,6),(88355,1),(88356,3),(88357,3),(88358,3),(88359,1),(88360,3),(88361,7),(88362,5),(88363,9),(88364,7),(88365,5),(88366,5),(88367,5),(88368,2),(88369,9),(88370,9),(88371,7),(88372,5),(88373,2),(88374,7),(88375,7),(88376,8),(88377,2),(88378,2),(88379,9),(88380,1),(88381,4),(88382,9),(88383,5),(88384,5),(88385,8),(88386,3),(88387,1),(88388,1),(88389,1),(88390,4),(88391,8),(88392,1),(88393,2),(88394,7),(88395,1),(88396,3),(88397,9),(88398,6),(88399,6),(88400,9),(88401,1),(88402,1),(88403,9),(88404,6),(88405,3),(88406,1),(88407,6),(88408,8),(88409,4),(88410,8),(88411,7),(88412,9),(88413,4),(88414,2),(88415,5),(88416,4),(88417,8),(88418,7),(88419,5),(88420,5),(88421,8),(88422,6),(88423,9),(88424,7),(88425,8),(88426,5),(88427,6),(88428,4),(88429,1),(88430,8),(88431,8),(88432,3),(88433,8),(88434,5),(88435,4),(88436,8),(88437,7),(88438,6),(88439,8),(88440,5),(88441,5),(88442,3),(88443,5),(88444,4),(88445,3),(88446,7),(88447,2),(88448,9),(88449,4),(88450,5),(88451,2),(88452,5),(88453,2),(88454,3),(88455,9),(88456,9),(88457,2),(88458,1),(88459,9),(88460,7),(88461,5),(88462,5),(88463,5),(88464,3),(88465,5),(88466,2),(88467,6),(88468,5),(88469,4),(88470,2),(88471,6),(88472,3),(88473,2),(88474,3),(88475,4),(88476,5),(88477,8),(88478,1),(88479,5),(88480,2),(88481,2),(88482,9),(88483,3),(88484,6),(88485,9),(88486,3),(88487,4),(88488,3),(88489,8),(88490,9),(88491,2),(88492,2),(88493,4),(88494,4),(88495,1),(88496,7),(88497,4),(88498,6),(88499,8),(88500,4),(88501,4),(88502,8),(88503,4),(88504,1),(88505,6),(88506,1),(88507,5),(88508,4),(88509,2),(88510,5),(88511,3),(88512,3),(88513,1),(88514,1),(88515,6),(88516,7),(88517,2),(88518,6),(88519,4),(88520,8),(88521,4),(88522,4),(88523,3),(88524,2),(88525,9),(88526,5),(88527,4),(88528,4),(88529,9),(88530,3),(88531,5),(88532,7),(88533,8),(88534,4),(88535,5),(88536,4),(88537,6),(88538,8),(88539,6),(88540,4),(88541,1),(88542,5),(88543,3),(88544,7),(88545,5),(88546,5),(88547,7),(88548,4),(88549,2),(88550,4),(88551,1),(88552,9),(88553,7),(88554,3),(88555,1),(88556,7),(88557,7),(88558,4),(88559,7),(88560,8),(88561,3),(88562,9),(88563,7),(88564,2),(88565,4),(88566,8),(88567,8),(88568,8),(88569,4),(88570,8),(88571,2),(88572,3),(88573,9),(88574,8),(88575,8),(88576,2),(88577,4),(88578,1),(88579,9),(88580,8),(88581,1),(88582,7),(88583,6),(88584,7),(88585,8),(88586,3),(88587,6),(88588,8),(88589,3),(88590,1),(88591,5),(88592,6),(88593,5),(88594,7),(88595,1),(88596,5),(88597,1),(88598,9),(88599,4),(88600,8),(88601,3),(88602,6),(88603,6),(88604,4),(88605,5),(88606,1),(88607,5),(88608,8),(88609,5),(88610,5),(88611,2),(88612,6),(88613,8),(88614,8),(88615,2),(88616,6),(88617,7),(88618,9),(88619,7),(88620,1),(88621,7),(88622,2),(88623,6),(88624,7),(88625,9),(88626,4),(88627,6),(88628,1),(88629,6),(88630,3),(88631,8),(88632,2),(88633,3),(88634,5),(88635,7),(88636,7),(88637,2),(88638,2),(88639,9),(88640,4),(88641,4),(88642,5),(88643,3),(88644,9),(88645,2),(88646,9),(88647,8),(88648,6),(88649,2),(88650,6),(88651,2),(88652,5),(88653,1),(88654,1),(88655,5),(88656,5),(88657,8),(88658,9),(88659,9),(88660,5),(88661,3),(88662,6),(88663,3),(88664,4),(88665,1),(88666,2),(88667,9),(88668,7),(88669,2),(88670,4),(88671,9),(88672,1),(88673,7),(88674,2),(88675,2),(88676,2),(88677,6),(88678,1),(88679,2),(88680,9),(88681,1),(88682,7),(88683,7),(88684,8),(88685,9),(88686,1),(88687,3),(88688,6),(88689,9),(88690,6),(88691,6),(88692,3),(88693,8),(88694,9),(88695,2),(88696,3),(88697,1),(88698,4),(88699,9),(88700,7),(88701,3),(88702,9),(88703,7),(88704,3),(88705,3),(88706,2),(88707,8),(88708,9),(88709,6),(88710,4),(88711,5),(88712,9),(88713,6),(88714,8),(88715,7),(88716,6),(88717,4),(88718,1),(88719,5),(88720,8),(88721,6),(88722,6),(88723,7),(88724,3),(88725,7),(88726,6),(88727,7),(88728,1),(88729,1),(88730,3),(88731,7),(88732,9),(88733,8),(88734,8),(88735,8),(88736,1),(88737,6),(88738,9),(88739,2),(88740,6),(88741,7),(88742,2),(88743,7),(88744,5),(88745,8),(88746,8),(88747,2),(88748,1),(88749,8),(88750,2),(88751,9),(88752,1),(88753,8),(88754,8),(88755,4),(88756,1),(88757,3),(88758,9),(88759,9),(88760,7),(88761,4),(88762,9),(88763,6),(88764,1),(88765,3),(88766,2),(88767,6),(88768,7),(88769,1),(88770,1),(88771,1),(88772,4),(88773,9),(88774,2),(88775,4),(88776,9),(88777,7),(88778,3),(88779,6),(88780,9),(88781,9),(88782,3),(88783,4),(88784,4),(88785,1),(88786,8),(88787,5),(88788,9),(88789,4),(88790,9),(88791,8),(88792,9),(88793,5),(88794,2),(88795,3),(88796,2),(88797,7),(88798,2),(88799,1),(88800,8),(88801,9),(88802,9),(88803,7),(88804,5),(88805,2),(88806,8),(88807,2),(88808,3),(88809,5),(88810,5),(88811,4),(88812,4),(88813,6),(88814,1),(88815,9),(88816,2),(88817,3),(88818,5),(88819,2),(88820,5),(88821,7),(88822,2),(88823,2),(88824,3),(88825,2),(88826,8),(88827,8),(88828,5),(88829,2),(88830,7),(88831,5),(88832,9),(88833,5),(88834,1),(88835,5),(88836,6),(88837,9),(88838,7),(88839,5),(88840,7),(88841,1),(88842,8),(88843,7),(88844,1),(88845,3),(88846,4),(88847,2),(88848,3),(88849,8),(88850,1),(88851,8),(88852,7),(88853,4),(88854,3),(88855,4),(88856,1),(88857,3),(88858,7),(88859,4),(88860,5),(88861,9),(88862,8),(88863,3),(88864,1),(88865,7),(88866,9),(88867,8),(88868,7),(88869,8),(88870,4),(88871,2),(88872,5),(88873,5),(88874,4),(88875,6),(88876,3),(88877,6),(88878,8),(88879,5),(88880,1),(88881,5),(88882,8),(88883,7),(88884,3),(88885,8),(88886,7),(88887,2),(88888,6),(88889,9),(88890,9),(88891,9),(88892,4),(88893,6),(88894,9),(88895,2),(88896,5),(88897,8),(88898,9),(88899,3),(88900,4),(88901,7),(88902,7),(88903,2),(88904,9),(88905,1),(88906,2),(88907,4),(88908,4),(88909,6),(88910,6),(88911,4),(88912,5),(88913,3),(88914,4),(88915,3),(88916,4),(88917,2),(88918,7),(88919,9),(88920,5),(88921,4),(88922,1),(88923,4),(88924,6),(88925,8),(88926,9),(88927,4),(88928,5),(88929,8),(88930,3),(88931,9),(88932,8),(88933,8),(88934,3),(88935,3),(88936,2),(88937,1),(88938,1),(88939,8),(88940,1),(88941,4),(88942,1),(88943,8),(88944,7),(88945,5),(88946,6),(88947,7),(88948,1),(88949,8),(88950,9),(88951,1),(88952,7),(88953,6),(88954,5),(88955,8),(88956,2),(88957,8),(88958,5),(88959,2),(88960,6),(88961,2),(88962,2),(88963,8),(88964,6),(88965,9),(88966,4),(88967,4),(88968,6),(88969,9),(88970,5),(88971,8),(88972,6),(88973,4),(88974,8),(88975,2),(88976,6),(88977,9),(88978,8),(88979,9),(88980,5),(88981,5),(88982,1),(88983,9),(88984,6),(88985,8),(88986,2),(88987,4),(88988,9),(88989,3),(88990,3),(88991,8),(88992,6),(88993,2),(88994,5),(88995,7),(88996,4),(88997,7),(88998,9),(88999,3),(89000,2),(89001,1),(89002,7),(89003,7),(89004,8),(89005,8),(89006,2),(89007,2),(89008,7),(89009,6),(89010,4),(89011,4),(89012,1),(89013,5),(89014,9),(89015,5),(89016,6),(89017,5),(89018,3),(89019,3),(89020,8),(89021,6),(89022,9),(89023,7),(89024,9),(89025,9),(89026,2),(89027,1),(89028,5),(89029,7),(89030,3),(89031,6),(89032,1),(89033,8),(89034,8),(89035,2),(89036,8),(89037,4),(89038,1),(89039,6),(89040,8),(89041,5),(89042,2),(89043,4),(89044,8),(89045,1),(89046,8),(89047,4),(89048,7),(89049,6),(89050,6),(89051,9),(89052,2),(89053,7),(89054,5),(89055,7),(89056,7),(89057,2),(89058,1),(89059,2),(89060,4),(89061,4),(89062,5),(89063,9),(89064,8),(89065,5),(89066,7),(89067,1),(89068,6),(89069,2),(89070,9),(89071,2),(89072,9),(89073,4),(89074,1),(89075,7),(89076,4),(89077,8),(89078,5),(89079,7),(89080,1),(89081,4),(89082,9),(89083,1),(89084,9),(89085,6),(89086,4),(89087,4),(89088,2),(89089,6),(89090,4),(89091,2),(89092,8),(89093,6),(89094,9),(89095,8),(89096,2),(89097,1),(89098,9),(89099,3),(89100,4),(89101,8),(89102,3),(89103,8),(89104,8),(89105,3),(89106,8),(89107,9),(89108,8),(89109,1),(89110,5),(89111,3),(89112,3),(89113,5),(89114,2),(89115,8),(89116,1),(89117,6),(89118,8),(89119,3),(89120,2),(89121,1),(89122,6),(89123,4),(89124,6),(89125,1),(89126,1),(89127,8),(89128,9),(89129,2),(89130,9),(89131,4),(89132,9),(89133,6),(89134,4),(89135,3),(89136,8),(89137,1),(89138,9),(89139,2),(89140,8),(89141,3),(89142,8),(89143,3),(89144,2),(89145,1),(89146,4),(89147,7),(89148,3),(89149,9),(89150,7),(89151,8),(89152,2),(89153,1),(89154,6),(89155,2),(89156,7),(89157,6),(89158,2),(89159,9),(89160,3),(89161,2),(89162,7),(89163,6),(89164,6),(89165,2),(89166,5),(89167,6),(89168,5),(89169,4),(89170,8),(89171,9),(89172,2),(89173,8),(89174,3),(89175,9),(89176,9),(89177,5),(89178,8),(89179,6),(89180,4),(89181,3),(89182,6),(89183,4),(89184,9),(89185,3),(89186,4),(89187,8),(89188,2),(89189,5),(89190,3),(89191,2),(89192,8),(89193,8),(89194,1),(89195,4),(89196,7),(89197,6),(89198,2),(89199,8),(89200,5),(89201,3),(89202,9),(89203,5),(89204,6),(89205,7),(89206,5),(89207,9),(89208,3),(89209,8),(89210,9),(89211,3),(89212,9),(89213,8),(89214,4),(89215,2),(89216,3),(89217,2),(89218,9),(89219,8),(89220,8),(89221,6),(89222,5),(89223,8),(89224,2),(89225,4),(89226,2),(89227,3),(89228,8),(89229,2),(89230,4),(89231,7),(89232,2),(89233,7),(89234,8),(89235,6),(89236,2),(89237,5),(89238,7),(89239,4),(89240,8),(89241,3),(89242,6),(89243,7),(89244,6),(89245,9),(89246,4),(89247,8),(89248,8),(89249,1),(89250,2),(89251,2),(89252,2),(89253,9),(89254,1),(89255,7),(89256,9),(89257,6),(89258,2),(89259,9),(89260,4),(89261,5),(89262,1),(89263,1),(89264,7),(89265,5),(89266,3),(89267,4),(89268,1),(89269,9),(89270,1),(89271,7),(89272,1),(89273,5),(89274,3),(89275,9),(89276,1),(89277,4),(89278,6),(89279,9),(89280,5),(89281,6),(89282,4),(89283,2),(89284,5),(89285,8),(89286,2),(89287,5),(89288,8),(89289,3),(89290,5),(89291,8),(89292,2),(89293,8),(89294,2),(89295,5),(89296,9),(89297,8),(89298,2),(89299,2),(89300,5),(89301,3),(89302,1),(89303,9),(89304,8),(89305,8),(89306,4),(89307,8),(89308,9),(89309,3),(89310,7),(89311,9),(89312,3),(89313,6),(89314,8),(89315,9),(89316,1),(89317,3),(89318,6),(89319,9),(89320,7),(89321,1),(89322,5),(89323,9),(89324,2),(89325,2),(89326,9),(89327,2),(89328,7),(89329,8),(89330,7),(89331,8),(89332,5),(89333,8),(89334,7),(89335,7),(89336,9),(89337,5),(89338,7),(89339,1),(89340,3),(89341,4),(89342,9),(89343,3),(89344,1),(89345,2),(89346,2),(89347,4),(89348,2),(89349,8),(89350,8),(89351,9),(89352,1),(89353,2),(89354,4),(89355,1),(89356,2),(89357,6),(89358,5),(89359,4),(89360,4),(89361,2),(89362,5),(89363,5),(89364,3),(89365,7),(89366,1),(89367,7),(89368,3),(89369,1),(89370,1),(89371,7),(89372,1),(89373,2),(89374,1),(89375,5),(89376,1),(89377,3),(89378,3),(89379,4),(89380,3),(89381,2),(89382,8),(89383,7),(89384,9),(89385,8),(89386,5),(89387,9),(89388,8),(89389,2),(89390,4),(89391,8),(89392,4),(89393,5),(89394,5),(89395,4),(89396,2),(89397,9),(89398,7),(89399,1),(89400,6),(89401,3),(89402,1),(89403,6),(89404,3),(89405,2),(89406,4),(89407,3),(89408,6),(89409,7),(89410,8),(89411,5),(89412,4),(89413,6),(89414,9),(89415,6),(89416,1),(89417,9),(89418,5),(89419,8),(89420,4),(89421,9),(89422,7),(89423,6),(89424,5),(89425,8),(89426,1),(89427,6),(89428,3),(89429,9),(89430,1),(89431,4),(89432,9),(89433,5),(89434,2),(89435,2),(89436,7),(89437,6),(89438,1),(89439,9),(89440,3),(89441,4),(89442,6),(89443,5),(89444,9),(89445,9),(89446,7),(89447,1),(89448,9),(89449,5),(89450,1),(89451,4),(89452,6),(89453,6),(89454,5),(89455,7),(89456,2),(89457,5),(89458,2),(89459,1),(89460,1),(89461,6),(89462,9),(89463,4),(89464,7),(89465,4),(89466,5),(89467,4),(89468,6),(89469,6),(89470,7),(89471,8),(89472,5),(89473,6),(89474,1),(89475,1),(89476,7),(89477,3),(89478,3),(89479,8),(89480,5),(89481,9),(89482,1),(89483,5),(89484,1),(89485,7),(89486,2),(89487,1),(89488,9),(89489,9),(89490,4),(89491,3),(89492,6),(89493,5),(89494,2),(89495,1),(89496,9),(89497,9),(89498,9),(89499,3),(89500,8),(89501,3),(89502,1),(89503,2),(89504,8),(89505,7),(89506,2),(89507,6),(89508,3),(89509,6),(89510,1),(89511,5),(89512,4),(89513,2),(89514,9),(89515,2),(89516,4),(89517,2),(89518,9),(89519,2),(89520,5),(89521,9),(89522,8),(89523,3),(89524,9),(89525,5),(89526,6),(89527,7),(89528,1),(89529,4),(89530,9),(89531,6),(89532,3),(89533,5),(89534,1),(89535,5),(89536,1),(89537,9),(89538,9),(89539,5),(89540,7),(89541,4),(89542,4),(89543,8),(89544,5),(89545,3),(89546,2),(89547,5),(89548,6),(89549,9),(89550,3),(89551,9),(89552,3),(89553,2),(89554,6),(89555,9),(89556,3),(89557,1),(89558,2),(89559,4),(89560,9),(89561,5),(89562,9),(89563,5),(89564,4),(89565,8),(89566,7),(89567,1),(89568,1),(89569,2),(89570,2),(89571,4),(89572,3),(89573,4),(89574,5),(89575,4),(89576,8),(89577,7),(89578,7),(89579,2),(89580,8),(89581,7),(89582,3),(89583,8),(89584,6),(89585,4),(89586,6),(89587,6),(89588,3),(89589,8),(89590,4),(89591,3),(89592,2),(89593,6),(89594,8),(89595,5),(89596,2),(89597,1),(89598,1),(89599,6),(89600,7),(89601,9),(89602,1),(89603,7),(89604,9),(89605,3),(89606,5),(89607,2),(89608,2),(89609,4),(89610,4),(89611,1),(89612,2),(89613,5),(89614,9),(89615,3),(89616,9),(89617,7),(89618,2),(89619,6),(89620,1),(89621,1),(89622,4),(89623,7),(89624,8),(89625,6),(89626,6),(89627,5),(89628,2),(89629,8),(89630,8),(89631,7),(89632,5),(89633,3),(89634,4),(89635,1),(89636,3),(89637,8),(89638,7),(89639,9),(89640,3),(89641,4),(89642,1),(89643,3),(89644,2),(89645,6),(89646,2),(89647,7),(89648,4),(89649,4),(89650,8),(89651,1),(89652,3),(89653,5),(89654,3),(89655,3),(89656,1),(89657,3),(89658,7),(89659,9),(89660,8),(89661,4),(89662,2),(89663,4),(89664,4),(89665,5),(89666,3),(89667,5),(89668,8),(89669,4),(89670,2),(89671,5),(89672,4),(89673,7),(89674,3),(89675,2),(89676,8),(89677,8),(89678,6),(89679,4),(89680,7),(89681,6),(89682,3),(89683,1),(89684,9),(89685,4),(89686,7),(89687,1),(89688,7),(89689,8),(89690,3),(89691,3),(89692,5),(89693,8),(89694,4),(89695,4),(89696,9),(89697,4),(89698,8),(89699,4),(89700,8),(89701,9),(89702,7),(89703,2),(89704,8),(89705,3),(89706,4),(89707,1),(89708,5),(89709,7),(89710,7),(89711,4),(89712,6),(89713,6),(89714,1),(89715,6),(89716,1),(89717,6),(89718,2),(89719,1),(89720,7),(89721,1),(89722,4),(89723,6),(89724,1),(89725,3),(89726,6),(89727,9),(89728,5),(89729,5),(89730,3),(89731,8),(89732,8),(89733,8),(89734,1),(89735,8),(89736,3),(89737,7),(89738,4),(89739,3),(89740,6),(89741,3),(89742,4),(89743,5),(89744,3),(89745,8),(89746,3),(89747,6),(89748,6),(89749,4),(89750,5),(89751,9),(89752,5),(89753,7),(89754,4),(89755,2),(89756,1),(89757,5),(89758,7),(89759,1),(89760,1),(89761,8),(89762,7),(89763,8),(89764,2),(89765,3),(89766,7),(89767,7),(89768,8),(89769,8),(89770,2),(89771,2),(89772,9),(89773,2),(89774,5),(89775,2),(89776,2),(89777,1),(89778,3),(89779,4),(89780,6),(89781,6),(89782,2),(89783,9),(89784,2),(89785,1),(89786,7),(89787,4),(89788,8),(89789,8),(89790,3),(89791,9),(89792,7),(89793,4),(89794,4),(89795,3),(89796,3),(89797,5),(89798,8),(89799,2),(89800,9),(89801,7),(89802,8),(89803,6),(89804,7),(89805,5),(89806,7),(89807,4),(89808,3),(89809,1),(89810,5),(89811,7),(89812,1),(89813,4),(89814,5),(89815,1),(89816,7),(89817,7),(89818,6),(89819,4),(89820,6),(89821,8),(89822,8),(89823,1),(89824,9),(89825,8),(89826,3),(89827,2),(89828,3),(89829,4),(89830,3),(89831,2),(89832,6),(89833,1),(89834,6),(89835,3),(89836,8),(89837,5),(89838,2),(89839,7),(89840,7),(89841,7),(89842,5),(89843,3),(89844,1),(89845,3),(89846,8),(89847,7),(89848,8),(89849,4),(89850,9),(89851,9),(89852,6),(89853,2),(89854,4),(89855,2),(89856,1),(89857,7),(89858,3),(89859,5),(89860,9),(89861,1),(89862,1),(89863,6),(89864,4),(89865,3),(89866,5),(89867,6),(89868,1),(89869,7),(89870,6),(89871,5),(89872,8),(89873,3),(89874,7),(89875,8),(89876,1),(89877,9),(89878,5),(89879,4),(89880,8),(89881,9),(89882,4),(89883,6),(89884,9),(89885,7),(89886,3),(89887,5),(89888,3),(89889,5),(89890,7),(89891,1),(89892,3),(89893,6),(89894,4),(89895,4),(89896,6),(89897,2),(89898,4),(89899,8),(89900,1),(89901,3),(89902,1),(89903,1),(89904,4),(89905,5),(89906,5),(89907,6),(89908,9),(89909,2),(89910,3),(89911,9),(89912,3),(89913,6),(89914,3),(89915,8),(89916,3),(89917,3),(89918,5),(89919,2),(89920,7),(89921,7),(89922,3),(89923,7),(89924,6),(89925,3),(89926,5),(89927,4),(89928,1),(89929,7),(89930,8),(89931,4),(89932,7),(89933,3),(89934,5),(89935,9),(89936,3),(89937,5),(89938,4),(89939,3),(89940,4),(89941,2),(89942,6),(89943,6),(89944,3),(89945,6),(89946,4),(89947,7),(89948,7),(89949,5),(89950,8),(89951,1),(89952,4),(89953,3),(89954,8),(89955,6),(89956,6),(89957,9),(89958,5),(89959,8),(89960,3),(89961,2),(89962,4),(89963,7),(89964,9),(89965,2),(89966,6),(89967,2),(89968,3),(89969,7),(89970,9),(89971,2),(89972,3),(89973,2),(89974,8),(89975,4),(89976,5),(89977,8),(89978,8),(89979,9),(89980,6),(89981,4),(89982,9),(89983,4),(89984,8),(89985,3),(89986,8),(89987,7),(89988,4),(89989,3),(89990,2),(89991,8),(89992,5),(89993,6),(89994,1),(89995,4),(89996,7),(89997,8),(89998,8),(89999,8),(90000,5),(90001,2),(90002,2),(90003,5),(90004,5),(90005,7),(90006,9),(90007,1),(90008,3),(90009,1),(90010,8),(90011,6),(90012,8),(90013,9),(90014,9),(90015,1),(90016,3),(90017,5),(90018,3),(90019,5),(90020,9),(90021,5),(90022,3),(90023,6),(90024,5),(90025,7),(90026,5),(90027,1),(90028,5),(90029,6),(90030,7),(90031,5),(90032,2),(90033,9),(90034,7),(90035,6),(90036,1),(90037,6),(90038,1),(90039,1),(90040,8),(90041,6),(90042,3),(90043,4),(90044,6),(90045,3),(90046,4),(90047,4),(90048,1),(90049,4),(90050,6),(90051,1),(90052,8),(90053,9),(90054,3),(90055,1),(90056,4),(90057,1),(90058,9),(90059,9),(90060,4),(90061,5),(90062,8),(90063,6),(90064,7),(90065,3),(90066,6),(90067,4),(90068,3),(90069,8),(90070,6),(90071,3),(90072,3),(90073,6),(90074,6),(90075,4),(90076,4),(90077,6),(90078,9),(90079,6),(90080,3),(90081,3),(90082,6),(90083,2),(90084,5),(90085,3),(90086,2),(90087,2),(90088,4),(90089,6),(90090,7),(90091,7),(90092,6),(90093,8),(90094,8),(90095,9),(90096,7),(90097,9),(90098,1),(90099,1),(90100,7),(90101,7),(90102,9),(90103,3),(90104,4),(90105,9),(90106,6),(90107,5),(90108,8),(90109,7),(90110,3),(90111,5),(90112,9),(90113,9),(90114,2),(90115,2),(90116,2),(90117,3),(90118,3),(90119,8),(90120,4),(90121,1),(90122,9),(90123,6),(90124,6),(90125,5),(90126,3),(90127,9),(90128,8),(90129,3),(90130,4),(90131,4),(90132,7),(90133,3),(90134,3),(90135,9),(90136,7),(90137,6),(90138,5),(90139,5),(90140,3),(90141,6),(90142,9),(90143,1),(90144,3),(90145,6),(90146,9),(90147,5),(90148,8),(90149,7),(90150,7),(90151,3),(90152,4),(90153,6),(90154,3),(90155,2),(90156,1),(90157,3),(90158,6),(90159,8),(90160,7),(90161,6),(90162,8),(90163,7),(90164,1),(90165,7),(90166,7),(90167,6),(90168,1),(90169,3),(90170,6),(90171,8),(90172,3),(90173,4),(90174,8),(90175,6),(90176,6),(90177,4),(90178,6),(90179,4),(90180,4),(90181,2),(90182,8),(90183,3),(90184,7),(90185,4),(90186,5),(90187,5),(90188,4),(90189,2),(90190,7),(90191,1),(90192,5),(90193,3),(90194,6),(90195,5),(90196,3),(90197,5),(90198,5),(90199,3),(90200,2),(90201,7),(90202,2),(90203,1),(90204,4),(90205,1),(90206,9),(90207,9),(90208,2),(90209,9),(90210,9),(90211,5),(90212,5),(90213,6),(90214,6),(90215,9),(90216,3),(90217,2),(90218,7),(90219,4),(90220,3),(90221,1),(90222,3),(90223,8),(90224,1),(90225,7),(90226,1),(90227,4),(90228,7),(90229,7),(90230,1),(90231,2),(90232,2),(90233,7),(90234,2),(90235,8),(90236,9),(90237,9),(90238,1),(90239,8),(90240,4),(90241,8),(90242,9),(90243,3),(90244,1),(90245,3),(90246,9),(90247,8),(90248,3),(90249,6),(90250,3),(90251,6),(90252,2),(90253,6),(90254,9),(90255,3),(90256,2),(90257,8),(90258,2),(90259,9),(90260,2),(90261,5),(90262,3),(90263,4),(90264,3),(90265,3),(90266,2),(90267,4),(90268,9),(90269,7),(90270,5),(90271,8),(90272,1),(90273,2),(90274,6),(90275,9),(90276,5),(90277,4),(90278,2),(90279,8),(90280,5),(90281,5),(90282,7),(90283,2),(90284,7),(90285,8),(90286,6),(90287,5),(90288,3),(90289,2),(90290,5),(90291,5),(90292,2),(90293,1),(90294,8),(90295,2),(90296,1),(90297,8),(90298,9),(90299,2),(90300,1),(90301,1),(90302,4),(90303,8),(90304,6),(90305,1),(90306,6),(90307,4),(90308,1),(90309,9),(90310,8),(90311,9),(90312,9),(90313,2),(90314,1),(90315,3),(90316,3),(90317,5),(90318,2),(90319,2),(90320,2),(90321,2),(90322,7),(90323,8),(90324,8),(90325,7),(90326,5),(90327,1),(90328,5),(90329,6),(90330,5),(90331,4),(90332,2),(90333,2),(90334,3),(90335,4),(90336,8),(90337,4),(90338,5),(90339,1),(90340,2),(90341,5),(90342,2),(90343,9),(90344,7),(90345,3),(90346,5),(90347,3),(90348,6),(90349,1),(90350,3),(90351,2),(90352,8),(90353,2),(90354,3),(90355,8),(90356,6),(90357,6),(90358,3),(90359,3),(90360,4),(90361,4),(90362,8),(90363,6),(90364,6),(90365,1),(90366,5),(90367,5),(90368,5),(90369,3),(90370,5),(90371,9),(90372,6),(90373,1),(90374,6),(90375,2),(90376,1),(90377,5),(90378,7),(90379,1),(90380,1),(90381,5),(90382,2),(90383,8),(90384,1),(90385,1),(90386,5),(90387,8),(90388,4),(90389,9),(90390,5),(90391,4),(90392,8),(90393,9),(90394,9),(90395,9),(90396,5),(90397,9),(90398,2),(90399,2),(90400,7),(90401,4),(90402,9),(90403,4),(90404,8),(90405,4),(90406,3),(90407,4),(90408,4),(90409,1),(90410,9),(90411,9),(90412,5),(90413,6),(90414,5),(90415,8),(90416,8),(90417,7),(90418,2),(90419,9),(90420,1),(90421,4),(90422,3),(90423,3),(90424,8),(90425,1),(90426,5),(90427,1),(90428,4),(90429,5),(90430,7),(90431,3),(90432,9),(90433,9),(90434,3),(90435,3),(90436,4),(90437,3),(90438,3),(90439,1),(90440,2),(90441,9),(90442,4),(90443,7),(90444,3),(90445,5),(90446,2),(90447,5),(90448,8),(90449,1),(90450,7),(90451,7),(90452,8),(90453,8),(90454,6),(90455,5),(90456,1),(90457,4),(90458,7),(90459,3),(90460,6),(90461,8),(90462,9),(90463,2),(90464,5),(90465,6),(90466,1),(90467,1),(90468,6),(90469,5),(90470,3),(90471,4),(90472,4),(90473,4),(90474,5),(90475,8),(90476,7),(90477,9),(90478,5),(90479,1),(90480,5),(90481,1),(90482,9),(90483,4),(90484,5),(90485,4),(90486,1),(90487,8),(90488,8),(90489,7),(90490,4),(90491,1),(90492,4),(90493,1),(90494,6),(90495,4),(90496,4),(90497,9),(90498,3),(90499,9),(90500,8),(90501,5),(90502,3),(90503,6),(90504,8),(90505,4),(90506,5),(90507,9),(90508,8),(90509,4),(90510,3),(90511,7),(90512,6),(90513,9),(90514,3),(90515,2),(90516,8),(90517,7),(90518,6),(90519,1),(90520,7),(90521,2),(90522,9),(90523,3),(90524,5),(90525,6),(90526,3),(90527,9),(90528,7),(90529,6),(90530,9),(90531,3),(90532,5),(90533,2),(90534,4),(90535,6),(90536,8),(90537,5),(90538,3),(90539,7),(90540,5),(90541,3),(90542,5),(90543,6),(90544,6),(90545,3),(90546,8),(90547,4),(90548,5),(90549,9),(90550,3),(90551,3),(90552,3),(90553,8),(90554,2),(90555,5),(90556,3),(90557,1),(90558,6),(90559,7),(90560,6),(90561,4),(90562,8),(90563,5),(90564,7),(90565,8),(90566,4),(90567,3),(90568,1),(90569,4),(90570,2),(90571,9),(90572,7),(90573,7),(90574,9),(90575,1),(90576,4),(90577,7),(90578,7),(90579,9),(90580,9),(90581,6),(90582,7),(90583,7),(90584,6),(90585,4),(90586,3),(90587,9),(90588,2),(90589,2),(90590,7),(90591,5),(90592,6),(90593,2),(90594,8),(90595,4),(90596,9),(90597,5),(90598,5),(90599,6),(90600,5),(90601,6),(90602,6),(90603,9),(90604,2),(90605,8),(90606,7),(90607,7),(90608,3),(90609,9),(90610,5),(90611,3),(90612,4),(90613,7),(90614,3),(90615,6),(90616,9),(90617,5),(90618,5),(90619,4),(90620,3),(90621,3),(90622,6),(90623,4),(90624,8),(90625,9),(90626,2),(90627,6),(90628,4),(90629,7),(90630,9),(90631,3),(90632,3),(90633,3),(90634,4),(90635,6),(90636,7),(90637,5),(90638,7),(90639,8),(90640,8),(90641,8),(90642,1),(90643,9),(90644,6),(90645,7),(90646,5),(90647,7),(90648,8),(90649,7),(90650,6),(90651,6),(90652,9),(90653,3),(90654,9),(90655,2),(90656,5),(90657,7),(90658,6),(90659,9),(90660,1),(90661,7),(90662,1),(90663,8),(90664,2),(90665,4),(90666,3),(90667,6),(90668,5),(90669,5),(90670,9),(90671,3),(90672,8),(90673,7),(90674,5),(90675,2),(90676,9),(90677,7),(90678,5),(90679,4),(90680,5),(90681,8),(90682,6),(90683,6),(90684,6),(90685,3),(90686,2),(90687,8),(90688,1),(90689,3),(90690,9),(90691,5),(90692,7),(90693,3),(90694,4),(90695,5),(90696,7),(90697,1),(90698,1),(90699,4),(90700,9),(90701,6),(90702,9),(90703,9),(90704,3),(90705,4),(90706,9),(90707,2),(90708,6),(90709,6),(90710,8),(90711,2),(90712,7),(90713,6),(90714,3),(90715,1),(90716,3),(90717,4),(90718,1),(90719,5),(90720,7),(90721,3),(90722,2),(90723,2),(90724,7),(90725,9),(90726,5),(90727,4),(90728,3),(90729,9),(90730,1),(90731,6),(90732,2),(90733,1),(90734,6),(90735,6),(90736,1),(90737,9),(90738,5),(90739,3),(90740,1),(90741,4),(90742,8),(90743,6),(90744,6),(90745,5),(90746,4),(90747,1),(90748,6),(90749,7),(90750,5),(90751,4),(90752,4),(90753,1),(90754,1),(90755,2),(90756,7),(90757,8),(90758,7),(90759,4),(90760,8),(90761,2),(90762,9),(90763,2),(90764,6),(90765,7),(90766,7),(90767,3),(90768,1),(90769,7),(90770,7),(90771,9),(90772,1),(90773,2),(90774,2),(90775,2),(90776,1),(90777,9),(90778,2),(90779,7),(90780,3),(90781,9),(90782,7),(90783,2),(90784,3),(90785,3),(90786,8),(90787,1),(90788,1),(90789,4),(90790,7),(90791,3),(90792,2),(90793,5),(90794,9),(90795,9),(90796,8),(90797,6),(90798,8),(90799,6),(90800,4),(90801,8),(90802,2),(90803,3),(90804,6),(90805,9),(90806,2),(90807,2),(90808,4),(90809,4),(90810,8),(90811,8),(90812,6),(90813,7),(90814,7),(90815,6),(90816,7),(90817,8),(90818,8),(90819,8),(90820,4),(90821,8),(90822,2),(90823,7),(90824,3),(90825,5),(90826,1),(90827,2),(90828,9),(90829,5),(90830,2),(90831,2),(90832,4),(90833,3),(90834,3),(90835,5),(90836,2),(90837,4),(90838,3),(90839,1),(90840,2),(90841,8),(90842,8),(90843,1),(90844,1),(90845,6),(90846,6),(90847,2),(90848,5),(90849,3),(90850,2),(90851,8),(90852,9),(90853,8),(90854,6),(90855,5),(90856,1),(90857,8),(90858,4),(90859,8),(90860,5),(90861,6),(90862,8),(90863,1),(90864,1),(90865,8),(90866,5),(90867,2),(90868,8),(90869,3),(90870,7),(90871,3),(90872,2),(90873,8),(90874,8),(90875,8),(90876,4),(90877,7),(90878,6),(90879,1),(90880,8),(90881,4),(90882,1),(90883,2),(90884,8),(90885,2),(90886,7),(90887,3),(90888,1),(90889,3),(90890,7),(90891,7),(90892,9),(90893,3),(90894,9),(90895,9),(90896,4),(90897,2),(90898,7),(90899,4),(90900,9),(90901,3),(90902,6),(90903,7),(90904,2),(90905,1),(90906,4),(90907,6),(90908,7),(90909,6),(90910,9),(90911,2),(90912,7),(90913,4),(90914,5),(90915,3),(90916,1),(90917,2),(90918,5),(90919,4),(90920,7),(90921,5),(90922,3),(90923,4),(90924,2),(90925,4),(90926,1),(90927,4),(90928,2),(90929,7),(90930,5),(90931,6),(90932,9),(90933,4),(90934,4),(90935,1),(90936,1),(90937,1),(90938,1),(90939,3),(90940,9),(90941,5),(90942,5),(90943,9),(90944,5),(90945,5),(90946,8),(90947,9),(90948,5),(90949,1),(90950,7),(90951,7),(90952,1),(90953,7),(90954,1),(90955,8),(90956,6),(90957,3),(90958,8),(90959,9),(90960,6),(90961,9),(90962,8),(90963,1),(90964,7),(90965,7),(90966,7),(90967,6),(90968,9),(90969,3),(90970,4),(90971,1),(90972,1),(90973,6),(90974,9),(90975,4),(90976,3),(90977,1),(90978,5),(90979,5),(90980,6),(90981,3),(90982,9),(90983,3),(90984,5),(90985,4),(90986,6),(90987,9),(90988,5),(90989,9),(90990,5),(90991,3),(90992,3),(90993,5),(90994,3),(90995,1),(90996,6),(90997,8),(90998,2),(90999,5),(91000,6),(91001,7),(91002,5),(91003,3),(91004,1),(91005,9),(91006,1),(91007,5),(91008,7),(91009,7),(91010,9),(91011,9),(91012,3),(91013,4),(91014,5),(91015,5),(91016,4),(91017,7),(91018,1),(91019,6),(91020,8),(91021,4),(91022,7),(91023,9),(91024,3),(91025,5),(91026,1),(91027,9),(91028,4),(91029,3),(91030,9),(91031,9),(91032,7),(91033,5),(91034,1),(91035,1),(91036,4),(91037,3),(91038,5),(91039,3),(91040,1),(91041,1),(91042,3),(91043,9),(91044,3),(91045,7),(91046,6),(91047,4),(91048,3),(91049,6),(91050,1),(91051,8),(91052,4),(91053,8),(91054,1),(91055,1),(91056,3),(91057,7),(91058,4),(91059,1),(91060,9),(91061,1),(91062,4),(91063,6),(91064,5),(91065,8),(91066,3),(91067,2),(91068,1),(91069,7),(91070,2),(91071,4),(91072,6),(91073,3),(91074,6),(91075,6),(91076,4),(91077,9),(91078,4),(91079,3),(91080,9),(91081,8),(91082,1),(91083,5),(91084,7),(91085,8),(91086,3),(91087,5),(91088,9),(91089,3),(91090,4),(91091,7),(91092,9),(91093,9),(91094,9),(91095,2),(91096,1),(91097,2),(91098,1),(91099,7),(91100,3),(91101,2),(91102,8),(91103,7),(91104,2),(91105,9),(91106,3),(91107,5),(91108,9),(91109,4),(91110,7),(91111,3),(91112,6),(91113,8),(91114,1),(91115,3),(91116,2),(91117,2),(91118,9),(91119,5),(91120,2),(91121,7),(91122,8),(91123,8),(91124,2),(91125,9),(91126,8),(91127,3),(91128,1),(91129,5),(91130,2),(91131,3),(91132,5),(91133,6),(91134,4),(91135,8),(91136,3),(91137,9),(91138,8),(91139,8),(91140,3),(91141,3),(91142,8),(91143,9),(91144,8),(91145,2),(91146,8),(91147,4),(91148,4),(91149,2),(91150,6),(91151,8),(91152,8),(91153,7),(91154,3),(91155,1),(91156,5),(91157,7),(91158,3),(91159,8),(91160,6),(91161,1),(91162,4),(91163,5),(91164,7),(91165,7),(91166,4),(91167,3),(91168,1),(91169,1),(91170,4),(91171,8),(91172,5),(91173,7),(91174,3),(91175,5),(91176,5),(91177,4),(91178,3),(91179,7),(91180,8),(91181,4),(91182,7),(91183,9),(91184,1),(91185,9),(91186,5),(91187,4),(91188,4),(91189,8),(91190,7),(91191,9),(91192,3),(91193,8),(91194,5),(91195,5),(91196,9),(91197,1),(91198,2),(91199,3),(91200,4),(91201,3),(91202,8),(91203,3),(91204,3),(91205,4),(91206,1),(91207,5),(91208,4),(91209,3),(91210,3),(91211,3),(91212,3),(91213,3),(91214,2),(91215,5),(91216,8),(91217,4),(91218,4),(91219,8),(91220,2),(91221,9),(91222,6),(91223,6),(91224,5),(91225,5),(91226,2),(91227,9),(91228,5),(91229,4),(91230,9),(91231,1),(91232,3),(91233,9),(91234,4),(91235,5),(91236,3),(91237,8),(91238,3),(91239,4),(91240,5),(91241,5),(91242,2),(91243,6),(91244,1),(91245,1),(91246,4),(91247,5),(91248,6),(91249,1),(91250,3),(91251,7),(91252,4),(91253,8),(91254,4),(91255,4),(91256,1),(91257,8),(91258,4),(91259,7),(91260,4),(91261,6),(91262,2),(91263,2),(91264,5),(91265,5),(91266,1),(91267,2),(91268,6),(91269,1),(91270,5),(91271,7),(91272,4),(91273,5),(91274,8),(91275,7),(91276,7),(91277,9),(91278,4),(91279,9),(91280,7),(91281,6),(91282,6),(91283,7),(91284,6),(91285,7),(91286,4),(91287,4),(91288,1),(91289,3),(91290,3),(91291,5),(91292,1),(91293,3),(91294,1),(91295,6),(91296,7),(91297,9),(91298,4),(91299,8),(91300,9),(91301,3),(91302,6),(91303,6),(91304,1),(91305,9),(91306,7),(91307,1),(91308,3),(91309,4),(91310,8),(91311,6),(91312,2),(91313,4),(91314,1),(91315,5),(91316,1),(91317,4),(91318,2),(91319,7),(91320,8),(91321,3),(91322,3),(91323,2),(91324,5),(91325,8),(91326,8),(91327,8),(91328,4),(91329,1),(91330,8),(91331,6),(91332,5),(91333,4),(91334,1),(91335,9),(91336,8),(91337,9),(91338,3),(91339,9),(91340,1),(91341,7),(91342,9),(91343,9),(91344,7),(91345,3),(91346,6),(91347,7),(91348,3),(91349,6),(91350,4),(91351,5),(91352,8),(91353,3),(91354,3),(91355,4),(91356,3),(91357,8),(91358,5),(91359,3),(91360,9),(91361,5),(91362,8),(91363,4),(91364,6),(91365,4),(91366,4),(91367,7),(91368,3),(91369,2),(91370,7),(91371,5),(91372,8),(91373,9),(91374,4),(91375,2),(91376,9),(91377,2),(91378,2),(91379,3),(91380,8),(91381,1),(91382,4),(91383,2),(91384,5),(91385,4),(91386,1),(91387,7),(91388,9),(91389,6),(91390,7),(91391,7),(91392,7),(91393,3),(91394,4),(91395,8),(91396,7),(91397,1),(91398,2),(91399,3),(91400,2),(91401,7),(91402,9),(91403,7),(91404,8),(91405,7),(91406,9),(91407,3),(91408,9),(91409,4),(91410,5),(91411,3),(91412,2),(91413,7),(91414,7),(91415,3),(91416,2),(91417,8),(91418,7),(91419,8),(91420,1),(91421,4),(91422,7),(91423,6),(91424,9),(91425,5),(91426,8),(91427,6),(91428,8),(91429,2),(91430,7),(91431,6),(91432,4),(91433,5),(91434,9),(91435,4),(91436,3),(91437,3),(91438,9),(91439,5),(91440,3),(91441,4),(91442,5),(91443,3),(91444,4),(91445,4),(91446,6),(91447,2),(91448,9),(91449,5),(91450,7),(91451,4),(91452,6),(91453,1),(91454,6),(91455,4),(91456,4),(91457,5),(91458,9),(91459,8),(91460,5),(91461,2),(91462,5),(91463,4),(91464,1),(91465,1),(91466,3),(91467,1),(91468,8),(91469,5),(91470,7),(91471,2),(91472,2),(91473,3),(91474,3),(91475,1),(91476,4),(91477,8),(91478,6),(91479,3),(91480,7),(91481,1),(91482,3),(91483,6),(91484,4),(91485,4),(91486,4),(91487,5),(91488,2),(91489,9),(91490,4),(91491,2),(91492,7),(91493,2),(91494,7),(91495,4),(91496,5),(91497,1),(91498,1),(91499,9),(91500,2),(91501,1),(91502,1),(91503,2),(91504,4),(91505,2),(91506,3),(91507,5),(91508,2),(91509,3),(91510,6),(91511,5),(91512,2),(91513,4),(91514,4),(91515,6),(91516,9),(91517,7),(91518,6),(91519,5),(91520,5),(91521,5),(91522,3),(91523,3),(91524,2),(91525,3),(91526,3),(91527,1),(91528,8),(91529,4),(91530,8),(91531,6),(91532,4),(91533,9),(91534,5),(91535,6),(91536,4),(91537,6),(91538,7),(91539,1),(91540,4),(91541,7),(91542,5),(91543,5),(91544,9),(91545,6),(91546,6),(91547,1),(91548,8),(91549,3),(91550,2),(91551,8),(91552,7),(91553,4),(91554,2),(91555,1),(91556,7),(91557,1),(91558,1),(91559,1),(91560,3),(91561,2),(91562,9),(91563,9),(91564,5),(91565,5),(91566,4),(91567,7),(91568,4),(91569,7),(91570,9),(91571,4),(91572,9),(91573,7),(91574,8),(91575,2),(91576,7),(91577,4),(91578,4),(91579,1),(91580,1),(91581,5),(91582,1),(91583,4),(91584,5),(91585,7),(91586,7),(91587,3),(91588,9),(91589,3),(91590,1),(91591,1),(91592,7),(91593,6),(91594,1),(91595,8),(91596,8),(91597,5),(91598,7),(91599,5),(91600,7),(91601,4),(91602,2),(91603,2),(91604,3),(91605,5),(91606,5),(91607,4),(91608,8),(91609,2),(91610,1),(91611,4),(91612,2),(91613,7),(91614,9),(91615,4),(91616,2),(91617,2),(91618,9),(91619,8),(91620,4),(91621,3),(91622,3),(91623,7),(91624,2),(91625,8),(91626,9),(91627,1),(91628,2),(91629,4),(91630,4),(91631,6),(91632,5),(91633,4),(91634,1),(91635,8),(91636,2),(91637,9),(91638,1),(91639,2),(91640,3),(91641,6),(91642,5),(91643,6),(91644,9),(91645,1),(91646,9),(91647,2),(91648,1),(91649,1),(91650,8),(91651,1),(91652,6),(91653,3),(91654,5),(91655,7),(91656,6),(91657,3),(91658,4),(91659,6),(91660,1),(91661,7),(91662,1),(91663,8),(91664,6),(91665,7),(91666,7),(91667,6),(91668,2),(91669,8),(91670,9),(91671,9),(91672,9),(91673,8),(91674,4),(91675,7),(91676,9),(91677,2),(91678,6),(91679,8),(91680,1),(91681,5),(91682,4),(91683,2),(91684,5),(91685,9),(91686,9),(91687,6),(91688,1),(91689,5),(91690,4),(91691,7),(91692,9),(91693,6),(91694,2),(91695,6),(91696,7),(91697,3),(91698,5),(91699,5),(91700,3),(91701,9),(91702,8),(91703,7),(91704,2),(91705,9),(91706,5),(91707,7),(91708,6),(91709,8),(91710,2),(91711,3),(91712,9),(91713,3),(91714,4),(91715,6),(91716,5),(91717,7),(91718,5),(91719,1),(91720,8),(91721,9),(91722,7),(91723,7),(91724,4),(91725,7),(91726,2),(91727,3),(91728,4),(91729,4),(91730,5),(91731,8),(91732,9),(91733,2),(91734,8),(91735,7),(91736,1),(91737,5),(91738,6),(91739,5),(91740,9),(91741,6),(91742,9),(91743,2),(91744,6),(91745,3),(91746,7),(91747,8),(91748,4),(91749,6),(91750,6),(91751,4),(91752,6),(91753,9),(91754,9),(91755,5),(91756,9),(91757,9),(91758,5),(91759,8),(91760,4),(91761,5),(91762,3),(91763,3),(91764,7),(91765,4),(91766,5),(91767,2),(91768,9),(91769,7),(91770,9),(91771,5),(91772,9),(91773,9),(91774,8),(91775,3),(91776,1),(91777,2),(91778,1),(91779,9),(91780,3),(91781,2),(91782,3),(91783,8),(91784,1),(91785,6),(91786,4),(91787,2),(91788,3),(91789,8),(91790,4),(91791,3),(91792,5),(91793,5),(91794,8),(91795,7),(91796,1),(91797,5),(91798,7),(91799,8),(91800,1),(91801,4),(91802,1),(91803,7),(91804,3),(91805,3),(91806,7),(91807,6),(91808,4),(91809,9),(91810,4),(91811,1),(91812,1),(91813,9),(91814,6),(91815,2),(91816,1),(91817,1),(91818,3),(91819,4),(91820,8),(91821,2),(91822,9),(91823,9),(91824,8),(91825,5),(91826,5),(91827,5),(91828,4),(91829,3),(91830,5),(91831,1),(91832,5),(91833,1),(91834,7),(91835,9),(91836,2),(91837,5),(91838,9),(91839,4),(91840,1),(91841,5),(91842,8),(91843,2),(91844,2),(91845,8),(91846,3),(91847,4),(91848,1),(91849,7),(91850,3),(91851,9),(91852,3),(91853,9),(91854,3),(91855,5),(91856,8),(91857,1),(91858,8),(91859,3),(91860,3),(91861,6),(91862,5),(91863,1),(91864,3),(91865,6),(91866,9),(91867,4),(91868,2),(91869,7),(91870,7),(91871,2),(91872,8),(91873,2),(91874,1),(91875,3),(91876,3),(91877,5),(91878,8),(91879,1),(91880,1),(91881,9),(91882,4),(91883,3),(91884,2),(91885,7),(91886,9),(91887,5),(91888,1),(91889,8),(91890,6),(91891,2),(91892,9),(91893,1),(91894,8),(91895,7),(91896,3),(91897,5),(91898,6),(91899,5),(91900,7),(91901,3),(91902,6),(91903,5),(91904,1),(91905,6),(91906,3),(91907,3),(91908,7),(91909,5),(91910,7),(91911,4),(91912,4),(91913,7),(91914,7),(91915,2),(91916,6),(91917,1),(91918,5),(91919,2),(91920,4),(91921,3),(91922,7),(91923,5),(91924,2),(91925,9),(91926,7),(91927,6),(91928,8),(91929,8),(91930,7),(91931,2),(91932,3),(91933,7),(91934,2),(91935,1),(91936,5),(91937,2),(91938,9),(91939,7),(91940,7),(91941,3),(91942,9),(91943,7),(91944,2),(91945,4),(91946,1),(91947,5),(91948,2),(91949,5),(91950,9),(91951,9),(91952,3),(91953,7),(91954,9),(91955,2),(91956,3),(91957,1),(91958,6),(91959,8),(91960,8),(91961,1),(91962,5),(91963,9),(91964,1),(91965,9),(91966,3),(91967,5),(91968,7),(91969,2),(91970,8),(91971,6),(91972,8),(91973,9),(91974,8),(91975,1),(91976,1),(91977,1),(91978,5),(91979,4),(91980,9),(91981,7),(91982,6),(91983,5),(91984,3),(91985,6),(91986,2),(91987,8),(91988,4),(91989,5),(91990,1),(91991,1),(91992,3),(91993,9),(91994,8),(91995,4),(91996,1),(91997,4),(91998,6),(91999,2),(92000,1),(92001,2),(92002,6),(92003,3),(92004,5),(92005,9),(92006,9),(92007,1),(92008,3),(92009,3),(92010,9),(92011,9),(92012,3),(92013,3),(92014,2),(92015,6),(92016,2),(92017,1),(92018,9),(92019,7),(92020,3),(92021,5),(92022,2),(92023,8),(92024,4),(92025,5),(92026,6),(92027,1),(92028,5),(92029,5),(92030,3),(92031,5),(92032,7),(92033,9),(92034,6),(92035,3),(92036,2),(92037,2),(92038,2),(92039,6),(92040,3),(92041,3),(92042,2),(92043,7),(92044,2),(92045,7),(92046,9),(92047,5),(92048,4),(92049,9),(92050,1),(92051,1),(92052,5),(92053,1),(92054,3),(92055,3),(92056,6),(92057,1),(92058,7),(92059,3),(92060,8),(92061,7),(92062,3),(92063,9),(92064,5),(92065,8),(92066,1),(92067,2),(92068,1),(92069,3),(92070,8),(92071,7),(92072,9),(92073,1),(92074,7),(92075,4),(92076,1),(92077,8),(92078,8),(92079,7),(92080,9),(92081,6),(92082,5),(92083,2),(92084,4),(92085,8),(92086,5),(92087,2),(92088,5),(92089,3),(92090,2),(92091,6),(92092,6),(92093,8),(92094,1),(92095,5),(92096,7),(92097,9),(92098,4),(92099,3),(92100,9),(92101,4),(92102,3),(92103,1),(92104,1),(92105,4),(92106,1),(92107,9),(92108,2),(92109,5),(92110,2),(92111,3),(92112,8),(92113,7),(92114,4),(92115,2),(92116,7),(92117,1),(92118,4),(92119,5),(92120,3),(92121,8),(92122,9),(92123,5),(92124,7),(92125,2),(92126,1),(92127,8),(92128,9),(92129,5),(92130,5),(92131,2),(92132,2),(92133,4),(92134,4),(92135,8),(92136,5),(92137,8),(92138,9),(92139,8),(92140,4),(92141,2),(92142,8),(92143,1),(92144,4),(92145,6),(92146,3),(92147,5),(92148,4),(92149,6),(92150,2),(92151,8),(92152,7),(92153,6),(92154,5),(92155,2),(92156,4),(92157,9),(92158,1),(92159,3),(92160,7),(92161,9),(92162,5),(92163,8),(92164,7),(92165,1),(92166,3),(92167,8),(92168,5),(92169,6),(92170,3),(92171,2),(92172,2),(92173,3),(92174,9),(92175,1),(92176,2),(92177,1),(92178,6),(92179,5),(92180,9),(92181,4),(92182,1),(92183,7),(92184,1),(92185,7),(92186,2),(92187,3),(92188,6),(92189,8),(92190,2),(92191,1),(92192,5),(92193,5),(92194,2),(92195,1),(92196,9),(92197,3),(92198,4),(92199,7),(92200,1),(92201,6),(92202,1),(92203,1),(92204,1),(92205,4),(92206,3),(92207,7),(92208,3),(92209,4),(92210,3),(92211,1),(92212,8),(92213,6),(92214,4),(92215,5),(92216,5),(92217,8),(92218,7),(92219,8),(92220,2),(92221,7),(92222,3),(92223,5),(92224,5),(92225,1),(92226,8),(92227,2),(92228,4),(92229,1),(92230,7),(92231,6),(92232,8),(92233,6),(92234,5),(92235,7),(92236,7),(92237,5),(92238,2),(92239,7),(92240,3),(92241,6),(92242,9),(92243,8),(92244,1),(92245,2),(92246,4),(92247,2),(92248,9),(92249,6),(92250,6),(92251,8),(92252,4),(92253,7),(92254,9),(92255,7),(92256,4),(92257,2),(92258,1),(92259,4),(92260,2),(92261,1),(92262,4),(92263,8),(92264,4),(92265,1),(92266,2),(92267,1),(92268,7),(92269,3),(92270,5),(92271,9),(92272,4),(92273,4),(92274,2),(92275,9),(92276,7),(92277,2),(92278,1),(92279,9),(92280,2),(92281,8),(92282,8),(92283,1),(92284,3),(92285,1),(92286,2),(92287,5),(92288,6),(92289,8),(92290,2),(92291,1),(92292,3),(92293,9),(92294,7),(92295,2),(92296,6),(92297,2),(92298,8),(92299,7),(92300,4),(92301,1),(92302,9),(92303,6),(92304,6),(92305,6),(92306,5),(92307,3),(92308,8),(92309,4),(92310,4),(92311,6),(92312,3),(92313,3),(92314,5),(92315,9),(92316,1),(92317,1),(92318,3),(92319,5),(92320,8),(92321,7),(92322,8),(92323,7),(92324,6),(92325,4),(92326,8),(92327,4),(92328,7),(92329,9),(92330,6),(92331,4),(92332,5),(92333,1),(92334,3),(92335,4),(92336,8),(92337,5),(92338,5),(92339,3),(92340,7),(92341,3),(92342,2),(92343,4),(92344,8),(92345,8),(92346,9),(92347,1),(92348,8),(92349,1),(92350,6),(92351,1),(92352,6),(92353,3),(92354,2),(92355,8),(92356,7),(92357,5),(92358,4),(92359,3),(92360,3),(92361,3),(92362,3),(92363,1),(92364,5),(92365,3),(92366,3),(92367,1),(92368,5),(92369,1),(92370,6),(92371,6),(92372,2),(92373,7),(92374,7),(92375,3),(92376,4),(92377,3),(92378,7),(92379,9),(92380,2),(92381,1),(92382,3),(92383,7),(92384,4),(92385,6),(92386,5),(92387,2),(92388,1),(92389,8),(92390,5),(92391,7),(92392,2),(92393,5),(92394,8),(92395,8),(92396,6),(92397,5),(92398,3),(92399,5),(92400,1),(92401,1),(92402,3),(92403,3),(92404,2),(92405,1),(92406,6),(92407,3),(92408,2),(92409,7),(92410,3),(92411,9),(92412,7),(92413,5),(92414,9),(92415,8),(92416,6),(92417,4),(92418,3),(92419,9),(92420,5),(92421,5),(92422,1),(92423,2),(92424,4),(92425,3),(92426,6),(92427,5),(92428,4),(92429,9),(92430,2),(92431,9),(92432,1),(92433,8),(92434,7),(92435,1),(92436,4),(92437,5),(92438,3),(92439,9),(92440,4),(92441,9),(92442,8),(92443,2),(92444,3),(92445,3),(92446,5),(92447,2),(92448,8),(92449,9),(92450,3),(92451,1),(92452,4),(92453,1),(92454,1),(92455,7),(92456,4),(92457,5),(92458,8),(92459,1),(92460,5),(92461,6),(92462,1),(92463,7),(92464,2),(92465,9),(92466,4),(92467,5),(92468,6),(92469,6),(92470,1),(92471,2),(92472,8),(92473,3),(92474,6),(92475,2),(92476,9),(92477,9),(92478,6),(92479,7),(92480,6),(92481,1),(92482,3),(92483,2),(92484,4),(92485,9),(92486,2),(92487,8),(92488,2),(92489,9),(92490,2),(92491,9),(92492,7),(92493,1),(92494,5),(92495,9),(92496,8),(92497,9),(92498,9),(92499,7),(92500,9),(92501,8),(92502,3),(92503,7),(92504,5),(92505,7),(92506,1),(92507,3),(92508,6),(92509,6),(92510,7),(92511,4),(92512,8),(92513,1),(92514,6),(92515,4),(92516,3),(92517,2),(92518,9),(92519,3),(92520,5),(92521,5),(92522,7),(92523,8),(92524,3),(92525,1),(92526,3),(92527,1),(92528,4),(92529,7),(92530,9),(92531,5),(92532,7),(92533,7),(92534,1),(92535,3),(92536,4),(92537,9),(92538,8),(92539,3),(92540,6),(92541,2),(92542,4),(92543,9),(92544,5),(92545,9),(92546,7),(92547,4),(92548,1),(92549,5),(92550,7),(92551,6),(92552,9),(92553,2),(92554,3),(92555,6),(92556,9),(92557,8),(92558,3),(92559,7),(92560,6),(92561,4),(92562,4),(92563,7),(92564,6),(92565,9),(92566,6),(92567,1),(92568,4),(92569,9),(92570,3),(92571,1),(92572,7),(92573,9),(92574,4),(92575,3),(92576,9),(92577,2),(92578,3),(92579,1),(92580,1),(92581,2),(92582,1),(92583,4),(92584,3),(92585,3),(92586,5),(92587,7),(92588,3),(92589,8),(92590,5),(92591,2),(92592,5),(92593,2),(92594,1),(92595,5),(92596,5),(92597,8),(92598,3),(92599,4),(92600,1),(92601,4),(92602,5),(92603,3),(92604,6),(92605,9),(92606,9),(92607,8),(92608,5),(92609,1),(92610,2),(92611,5),(92612,1),(92613,8),(92614,3),(92615,4),(92616,5),(92617,9),(92618,3),(92619,7),(92620,5),(92621,8),(92622,8),(92623,3),(92624,3),(92625,4),(92626,1),(92627,9),(92628,4),(92629,6),(92630,1),(92631,6),(92632,2),(92633,1),(92634,9),(92635,1),(92636,7),(92637,7),(92638,6),(92639,3),(92640,9),(92641,1),(92642,7),(92643,7),(92644,4),(92645,2),(92646,6),(92647,8),(92648,2),(92649,6),(92650,7),(92651,6),(92652,3),(92653,8),(92654,4),(92655,4),(92656,9),(92657,8),(92658,4),(92659,2),(92660,3),(92661,4),(92662,1),(92663,7),(92664,5),(92665,4),(92666,9),(92667,6),(92668,6),(92669,6),(92670,3),(92671,7),(92672,2),(92673,2),(92674,6),(92675,7),(92676,1),(92677,8),(92678,6),(92679,4),(92680,6),(92681,7),(92682,8),(92683,5),(92684,3),(92685,8),(92686,9),(92687,3),(92688,2),(92689,7),(92690,8),(92691,6),(92692,6),(92693,6),(92694,1),(92695,1),(92696,3),(92697,4),(92698,1),(92699,4),(92700,7),(92701,5),(92702,3),(92703,4),(92704,9),(92705,4),(92706,8),(92707,5),(92708,8),(92709,5),(92710,2),(92711,2),(92712,9),(92713,5),(92714,9),(92715,2),(92716,1),(92717,3),(92718,1),(92719,9),(92720,5),(92721,7),(92722,2),(92723,7),(92724,2),(92725,9),(92726,7),(92727,6),(92728,1),(92729,8),(92730,9),(92731,9),(92732,4),(92733,5),(92734,2),(92735,7),(92736,8),(92737,8),(92738,7),(92739,8),(92740,9),(92741,9),(92742,7),(92743,6),(92744,9),(92745,9),(92746,6),(92747,3),(92748,1),(92749,2),(92750,9),(92751,1),(92752,8),(92753,7),(92754,3),(92755,8),(92756,3),(92757,2),(92758,5),(92759,7),(92760,1),(92761,6),(92762,3),(92763,4),(92764,4),(92765,2),(92766,5),(92767,2),(92768,7),(92769,6),(92770,1),(92771,1),(92772,2),(92773,5),(92774,3),(92775,1),(92776,7),(92777,4),(92778,7),(92779,3),(92780,4),(92781,8),(92782,7),(92783,2),(92784,7),(92785,2),(92786,1),(92787,9),(92788,3),(92789,8),(92790,9),(92791,7),(92792,8),(92793,6),(92794,7),(92795,1),(92796,4),(92797,7),(92798,9),(92799,3),(92800,3),(92801,8),(92802,5),(92803,3),(92804,4),(92805,4),(92806,7),(92807,7),(92808,8),(92809,5),(92810,2),(92811,5),(92812,2),(92813,2),(92814,6),(92815,3),(92816,1),(92817,8),(92818,3),(92819,6),(92820,6),(92821,8),(92822,3),(92823,3),(92824,8),(92825,1),(92826,3),(92827,2),(92828,7),(92829,2),(92830,4),(92831,9),(92832,2),(92833,1),(92834,1),(92835,3),(92836,2),(92837,3),(92838,7),(92839,3),(92840,7),(92841,2),(92842,9),(92843,8),(92844,3),(92845,6),(92846,1),(92847,7),(92848,3),(92849,8),(92850,9),(92851,1),(92852,4),(92853,4),(92854,4),(92855,2),(92856,3),(92857,8),(92858,4),(92859,6),(92860,9),(92861,2),(92862,3),(92863,2),(92864,5),(92865,2),(92866,8),(92867,2),(92868,7),(92869,7),(92870,2),(92871,4),(92872,2),(92873,3),(92874,2),(92875,5),(92876,6),(92877,2),(92878,9),(92879,4),(92880,1),(92881,5),(92882,7),(92883,1),(92884,7),(92885,6),(92886,8),(92887,4),(92888,7),(92889,3),(92890,2),(92891,2),(92892,8),(92893,1),(92894,7),(92895,5),(92896,2),(92897,2),(92898,9),(92899,4),(92900,6),(92901,9),(92902,9),(92903,5),(92904,1),(92905,9),(92906,4),(92907,5),(92908,5),(92909,8),(92910,1),(92911,5),(92912,4),(92913,8),(92914,3),(92915,3),(92916,4),(92917,7),(92918,4),(92919,2),(92920,3),(92921,2),(92922,5),(92923,3),(92924,3),(92925,9),(92926,9),(92927,8),(92928,6),(92929,6),(92930,3),(92931,1),(92932,7),(92933,8),(92934,9),(92935,9),(92936,4),(92937,7),(92938,9),(92939,3),(92940,4),(92941,2),(92942,9),(92943,1),(92944,3),(92945,8),(92946,7),(92947,4),(92948,9),(92949,8),(92950,3),(92951,3),(92952,3),(92953,9),(92954,4),(92955,5),(92956,9),(92957,7),(92958,1),(92959,4),(92960,6),(92961,8),(92962,2),(92963,8),(92964,2),(92965,9),(92966,7),(92967,1),(92968,8),(92969,9),(92970,6),(92971,3),(92972,5),(92973,3),(92974,4),(92975,3),(92976,1),(92977,8),(92978,3),(92979,4),(92980,9),(92981,6),(92982,9),(92983,5),(92984,3),(92985,7),(92986,9),(92987,2),(92988,1),(92989,6),(92990,9),(92991,3),(92992,9),(92993,7),(92994,4),(92995,1),(92996,1),(92997,8),(92998,9),(92999,4),(93000,6),(93001,2),(93002,4),(93003,2),(93004,1),(93005,7),(93006,2),(93007,6),(93008,6),(93009,9),(93010,3),(93011,1),(93012,1),(93013,4),(93014,6),(93015,1),(93016,7),(93017,6),(93018,3),(93019,8),(93020,7),(93021,4),(93022,6),(93023,1),(93024,7),(93025,7),(93026,6),(93027,5),(93028,8),(93029,9),(93030,3),(93031,4),(93032,7),(93033,5),(93034,1),(93035,5),(93036,1),(93037,3),(93038,9),(93039,9),(93040,9),(93041,9),(93042,8),(93043,1),(93044,2),(93045,3),(93046,7),(93047,5),(93048,2),(93049,1),(93050,8),(93051,6),(93052,6),(93053,8),(93054,4),(93055,8),(93056,2),(93057,2),(93058,8),(93059,2),(93060,2),(93061,1),(93062,9),(93063,5),(93064,6),(93065,3),(93066,7),(93067,7),(93068,8),(93069,3),(93070,6),(93071,8),(93072,4),(93073,7),(93074,7),(93075,4),(93076,4),(93077,7),(93078,9),(93079,8),(93080,4),(93081,1),(93082,5),(93083,6),(93084,5),(93085,5),(93086,7),(93087,6),(93088,7),(93089,1),(93090,6),(93091,8),(93092,3),(93093,1),(93094,4),(93095,7),(93096,9),(93097,1),(93098,3),(93099,7),(93100,8),(93101,8),(93102,5),(93103,7),(93104,1),(93105,3),(93106,9),(93107,2),(93108,1),(93109,6),(93110,1),(93111,5),(93112,7),(93113,1),(93114,6),(93115,4),(93116,6),(93117,3),(93118,7),(93119,2),(93120,4),(93121,7),(93122,9),(93123,2),(93124,3),(93125,9),(93126,2),(93127,5),(93128,8),(93129,2),(93130,7),(93131,8),(93132,2),(93133,1),(93134,5),(93135,1),(93136,8),(93137,6),(93138,7),(93139,8),(93140,9),(93141,7),(93142,3),(93143,3),(93144,3),(93145,4),(93146,9),(93147,1),(93148,2),(93149,7),(93150,9),(93151,2),(93152,2),(93153,4),(93154,1),(93155,7),(93156,7),(93157,5),(93158,6),(93159,7),(93160,1),(93161,2),(93162,5),(93163,9),(93164,1),(93165,8),(93166,6),(93167,1),(93168,5),(93169,5),(93170,9),(93171,9),(93172,4),(93173,3),(93174,9),(93175,2),(93176,5),(93177,6),(93178,2),(93179,5),(93180,2),(93181,9),(93182,4),(93183,8),(93184,9),(93185,4),(93186,2),(93187,7),(93188,8),(93189,9),(93190,5),(93191,6),(93192,6),(93193,4),(93194,2),(93195,9),(93196,9),(93197,9),(93198,7),(93199,5),(93200,8),(93201,6),(93202,1),(93203,1),(93204,5),(93205,1),(93206,5),(93207,3),(93208,6),(93209,4),(93210,7),(93211,3),(93212,1),(93213,2),(93214,5),(93215,1),(93216,6),(93217,1),(93218,2),(93219,7),(93220,1),(93221,6),(93222,8),(93223,3),(93224,8),(93225,6),(93226,9),(93227,7),(93228,3),(93229,5),(93230,8),(93231,7),(93232,4),(93233,1),(93234,3),(93235,8),(93236,2),(93237,8),(93238,2),(93239,9),(93240,3),(93241,2),(93242,9),(93243,3),(93244,4),(93245,4),(93246,2),(93247,4),(93248,9),(93249,2),(93250,2),(93251,9),(93252,5),(93253,5),(93254,4),(93255,2),(93256,9),(93257,8),(93258,2),(93259,7),(93260,6),(93261,4),(93262,7),(93263,2),(93264,4),(93265,1),(93266,5),(93267,8),(93268,1),(93269,9),(93270,2),(93271,4),(93272,4),(93273,1),(93274,4),(93275,8),(93276,5),(93277,5),(93278,1),(93279,6),(93280,5),(93281,8),(93282,8),(93283,5),(93284,1),(93285,4),(93286,7),(93287,7),(93288,7),(93289,4),(93290,6),(93291,3),(93292,2),(93293,7),(93294,9),(93295,9),(93296,3),(93297,7),(93298,1),(93299,2),(93300,2),(93301,5),(93302,2),(93303,6),(93304,6),(93305,9),(93306,7),(93307,6),(93308,7),(93309,4),(93310,1),(93311,7),(93312,9),(93313,6),(93314,9),(93315,5),(93316,1),(93317,7),(93318,9),(93319,9),(93320,6),(93321,7),(93322,6),(93323,5),(93324,1),(93325,2),(93326,1),(93327,7),(93328,2),(93329,7),(93330,9),(93331,1),(93332,9),(93333,9),(93334,7),(93335,6),(93336,9),(93337,2),(93338,3),(93339,9),(93340,3),(93341,5),(93342,3),(93343,8),(93344,1),(93345,9),(93346,9),(93347,4),(93348,2),(93349,6),(93350,2),(93351,8),(93352,7),(93353,9),(93354,2),(93355,2),(93356,5),(93357,9),(93358,2),(93359,7),(93360,3),(93361,8),(93362,6),(93363,7),(93364,1),(93365,3),(93366,8),(93367,1),(93368,9),(93369,8),(93370,8),(93371,4),(93372,8),(93373,2),(93374,2),(93375,4),(93376,9),(93377,3),(93378,2),(93379,8),(93380,5),(93381,1),(93382,6),(93383,6),(93384,1),(93385,6),(93386,1),(93387,5),(93388,3),(93389,6),(93390,2),(93391,5),(93392,3),(93393,9),(93394,7),(93395,7),(93396,2),(93397,2),(93398,7),(93399,4),(93400,1),(93401,1),(93402,8),(93403,9),(93404,4),(93405,6),(93406,4),(93407,1),(93408,3),(93409,2),(93410,5),(93411,2),(93412,6),(93413,3),(93414,8),(93415,4),(93416,7),(93417,9),(93418,1),(93419,9),(93420,7),(93421,4),(93422,2),(93423,7),(93424,4),(93425,6),(93426,3),(93427,7),(93428,7),(93429,8),(93430,4),(93431,1),(93432,2),(93433,7),(93434,8),(93435,9),(93436,8),(93437,2),(93438,3),(93439,4),(93440,2),(93441,9),(93442,8),(93443,9),(93444,6),(93445,1),(93446,8),(93447,2),(93448,9),(93449,3),(93450,3),(93451,4),(93452,1),(93453,6),(93454,2),(93455,9),(93456,1),(93457,7),(93458,9),(93459,6),(93460,7),(93461,6),(93462,9),(93463,9),(93464,4),(93465,7),(93466,9),(93467,6),(93468,3),(93469,1),(93470,5),(93471,9),(93472,9),(93473,2),(93474,3),(93475,3),(93476,2),(93477,6),(93478,4),(93479,8),(93480,9),(93481,3),(93482,3),(93483,9),(93484,7),(93485,7),(93486,4),(93487,4),(93488,1),(93489,3),(93490,6),(93491,5),(93492,1),(93493,2),(93494,6),(93495,6),(93496,2),(93497,8),(93498,6),(93499,5),(93500,4),(93501,4),(93502,9),(93503,4),(93504,7),(93505,1),(93506,2),(93507,9),(93508,3),(93509,7),(93510,5),(93511,9),(93512,5),(93513,7),(93514,5),(93515,6),(93516,9),(93517,2),(93518,3),(93519,5),(93520,9),(93521,1),(93522,1),(93523,8),(93524,4),(93525,5),(93526,9),(93527,5),(93528,6),(93529,6),(93530,3),(93531,6),(93532,2),(93533,2),(93534,1),(93535,4),(93536,3),(93537,2),(93538,2),(93539,9),(93540,8),(93541,4),(93542,5),(93543,4),(93544,4),(93545,3),(93546,5),(93547,5),(93548,9),(93549,9),(93550,7),(93551,6),(93552,1),(93553,4),(93554,3),(93555,3),(93556,7),(93557,1),(93558,5),(93559,3),(93560,3),(93561,9),(93562,3),(93563,1),(93564,3),(93565,5),(93566,7),(93567,5),(93568,7),(93569,1),(93570,8),(93571,2),(93572,3),(93573,3),(93574,9),(93575,1),(93576,8),(93577,8),(93578,9),(93579,1),(93580,7),(93581,1),(93582,2),(93583,5),(93584,3),(93585,7),(93586,2),(93587,4),(93588,9),(93589,2),(93590,4),(93591,9),(93592,1),(93593,6),(93594,2),(93595,1),(93596,9),(93597,6),(93598,3),(93599,8),(93600,9),(93601,6),(93602,3),(93603,1),(93604,1),(93605,4),(93606,5),(93607,1),(93608,2),(93609,4),(93610,5),(93611,6),(93612,4),(93613,8),(93614,2),(93615,3),(93616,1),(93617,1),(93618,8),(93619,4),(93620,4),(93621,1),(93622,1),(93623,5),(93624,1),(93625,1),(93626,8),(93627,4),(93628,4),(93629,3),(93630,3),(93631,8),(93632,5),(93633,9),(93634,9),(93635,7),(93636,4),(93637,3),(93638,2),(93639,3),(93640,8),(93641,7),(93642,7),(93643,4),(93644,3),(93645,7),(93646,6),(93647,2),(93648,3),(93649,8),(93650,2),(93651,9),(93652,5),(93653,1),(93654,8),(93655,3),(93656,4),(93657,8),(93658,8),(93659,9),(93660,4),(93661,1),(93662,7),(93663,4),(93664,6),(93665,9),(93666,6),(93667,8),(93668,9),(93669,6),(93670,5),(93671,8),(93672,2),(93673,5),(93674,3),(93675,6),(93676,4),(93677,6),(93678,7),(93679,6),(93680,2),(93681,7),(93682,9),(93683,2),(93684,5),(93685,3),(93686,3),(93687,5),(93688,2),(93689,8),(93690,5),(93691,3),(93692,3),(93693,6),(93694,2),(93695,3),(93696,6),(93697,2),(93698,8),(93699,1),(93700,6),(93701,6),(93702,7),(93703,5),(93704,9),(93705,1),(93706,5),(93707,9),(93708,2),(93709,2),(93710,4),(93711,5),(93712,7),(93713,2),(93714,5),(93715,5),(93716,5),(93717,3),(93718,6),(93719,9),(93720,3),(93721,9),(93722,8),(93723,1),(93724,6),(93725,3),(93726,6),(93727,5),(93728,4),(93729,1),(93730,8),(93731,8),(93732,4),(93733,2),(93734,8),(93735,8),(93736,7),(93737,2),(93738,2),(93739,3),(93740,6),(93741,8),(93742,3),(93743,7),(93744,5),(93745,4),(93746,5),(93747,8),(93748,3),(93749,3),(93750,8),(93751,4),(93752,8),(93753,7),(93754,8),(93755,5),(93756,7),(93757,6),(93758,7),(93759,5),(93760,9),(93761,5),(93762,5),(93763,2),(93764,3),(93765,6),(93766,8),(93767,1),(93768,2),(93769,7),(93770,9),(93771,2),(93772,3),(93773,3),(93774,7),(93775,6),(93776,6),(93777,7),(93778,5),(93779,5),(93780,5),(93781,2),(93782,3),(93783,3),(93784,1),(93785,3),(93786,5),(93787,3),(93788,4),(93789,3),(93790,5),(93791,8),(93792,6),(93793,4),(93794,3),(93795,7),(93796,9),(93797,6),(93798,2),(93799,9),(93800,5),(93801,5),(93802,6),(93803,9),(93804,6),(93805,3),(93806,4),(93807,5),(93808,1),(93809,3),(93810,7),(93811,1),(93812,2),(93813,4),(93814,5),(93815,2),(93816,3),(93817,8),(93818,1),(93819,8),(93820,3),(93821,4),(93822,8),(93823,4),(93824,9),(93825,7),(93826,5),(93827,8),(93828,4),(93829,2),(93830,2),(93831,9),(93832,1),(93833,6),(93834,1),(93835,9),(93836,4),(93837,5),(93838,2),(93839,1),(93840,2),(93841,6),(93842,9),(93843,7),(93844,7),(93845,9),(93846,5),(93847,4),(93848,8),(93849,2),(93850,6),(93851,9),(93852,3),(93853,1),(93854,3),(93855,6),(93856,7),(93857,6),(93858,5),(93859,8),(93860,5),(93861,2),(93862,3),(93863,2),(93864,7),(93865,6),(93866,6),(93867,6),(93868,9),(93869,9),(93870,6),(93871,6),(93872,9),(93873,2),(93874,8),(93875,7),(93876,1),(93877,5),(93878,4),(93879,4),(93880,2),(93881,4),(93882,8),(93883,3),(93884,7),(93885,7),(93886,3),(93887,9),(93888,4),(93889,9),(93890,7),(93891,3),(93892,2),(93893,3),(93894,5),(93895,8),(93896,8),(93897,8),(93898,6),(93899,3),(93900,4),(93901,1),(93902,7),(93903,9),(93904,3),(93905,3),(93906,1),(93907,8),(93908,1),(93909,2),(93910,5),(93911,8),(93912,3),(93913,7),(93914,3),(93915,2),(93916,4),(93917,7),(93918,3),(93919,4),(93920,6),(93921,5),(93922,3),(93923,8),(93924,9),(93925,2),(93926,8),(93927,3),(93928,7),(93929,6),(93930,3),(93931,9),(93932,1),(93933,9),(93934,6),(93935,7),(93936,4),(93937,9),(93938,8),(93939,8),(93940,6),(93941,9),(93942,5),(93943,2),(93944,6),(93945,6),(93946,6),(93947,6),(93948,4),(93949,3),(93950,9),(93951,2),(93952,8),(93953,1),(93954,9),(93955,4),(93956,7),(93957,3),(93958,3),(93959,3),(93960,2),(93961,8),(93962,9),(93963,5),(93964,9),(93965,7),(93966,5),(93967,4),(93968,4),(93969,1),(93970,7),(93971,3),(93972,6),(93973,3),(93974,1),(93975,5),(93976,2),(93977,8),(93978,8),(93979,3),(93980,7),(93981,2),(93982,6),(93983,2),(93984,2),(93985,3),(93986,3),(93987,2),(93988,4),(93989,5),(93990,6),(93991,1),(93992,3),(93993,9),(93994,5),(93995,2),(93996,3),(93997,7),(93998,1),(93999,8),(94000,5),(94001,1),(94002,5),(94003,8),(94004,4),(94005,7),(94006,3),(94007,3),(94008,5),(94009,5),(94010,6),(94011,8),(94012,9),(94013,9),(94014,1),(94015,5),(94016,3),(94017,8),(94018,7),(94019,3),(94020,7),(94021,5),(94022,5),(94023,1),(94024,3),(94025,4),(94026,3),(94027,2),(94028,7),(94029,6),(94030,7),(94031,8),(94032,5),(94033,4),(94034,1),(94035,8),(94036,3),(94037,6),(94038,9),(94039,3),(94040,3),(94041,7),(94042,9),(94043,2),(94044,2),(94045,3),(94046,5),(94047,6),(94048,9),(94049,5),(94050,5),(94051,2),(94052,2),(94053,3),(94054,8),(94055,4),(94056,7),(94057,8),(94058,6),(94059,9),(94060,5),(94061,1),(94062,6),(94063,9),(94064,6),(94065,5),(94066,6),(94067,8),(94068,8),(94069,1),(94070,2),(94071,6),(94072,9),(94073,1),(94074,7),(94075,9),(94076,4),(94077,7),(94078,1),(94079,7),(94080,3),(94081,4),(94082,4),(94083,7),(94084,4),(94085,1),(94086,5),(94087,3),(94088,3),(94089,7),(94090,6),(94091,1),(94092,7),(94093,1),(94094,1),(94095,1),(94096,8),(94097,5),(94098,7),(94099,2),(94100,7),(94101,8),(94102,8),(94103,7),(94104,5),(94105,9),(94106,9),(94107,1),(94108,4),(94109,9),(94110,1),(94111,4),(94112,9),(94113,5),(94114,1),(94115,2),(94116,9),(94117,2),(94118,1),(94119,3),(94120,1),(94121,1),(94122,3),(94123,9),(94124,5),(94125,4),(94126,7),(94127,8),(94128,8),(94129,6),(94130,2),(94131,7),(94132,5),(94133,5),(94134,7),(94135,3),(94136,9),(94137,1),(94138,6),(94139,6),(94140,6),(94141,4),(94142,1),(94143,3),(94144,9),(94145,9),(94146,5),(94147,5),(94148,9),(94149,1),(94150,2),(94151,1),(94152,3),(94153,2),(94154,2),(94155,2),(94156,3),(94157,5),(94158,5),(94159,1),(94160,6),(94161,6),(94162,1),(94163,5),(94164,6),(94165,9),(94166,1),(94167,6),(94168,4),(94169,2),(94170,8),(94171,7),(94172,3),(94173,4),(94174,2),(94175,3),(94176,1),(94177,2),(94178,2),(94179,1),(94180,8),(94181,4),(94182,9),(94183,3),(94184,1),(94185,6),(94186,1),(94187,3),(94188,1),(94189,8),(94190,2),(94191,6),(94192,3),(94193,8),(94194,2),(94195,4),(94196,7),(94197,6),(94198,6),(94199,7),(94200,4),(94201,9),(94202,3),(94203,2),(94204,8),(94205,7),(94206,9),(94207,7),(94208,4),(94209,5),(94210,2),(94211,4),(94212,9),(94213,7),(94214,8),(94215,1),(94216,4),(94217,8),(94218,3),(94219,6),(94220,7),(94221,6),(94222,6),(94223,3),(94224,8),(94225,6),(94226,5),(94227,1),(94228,1),(94229,9),(94230,8),(94231,3),(94232,1),(94233,6),(94234,2),(94235,6),(94236,9),(94237,1),(94238,2),(94239,2),(94240,4),(94241,2),(94242,7),(94243,2),(94244,3),(94245,1),(94246,5),(94247,2),(94248,2),(94249,5),(94250,3),(94251,8),(94252,6),(94253,7),(94254,8),(94255,8),(94256,3),(94257,6),(94258,5),(94259,9),(94260,1),(94261,8),(94262,6),(94263,1),(94264,3),(94265,8),(94266,7),(94267,6),(94268,8),(94269,3),(94270,6),(94271,1),(94272,1),(94273,1),(94274,6),(94275,8),(94276,9),(94277,7),(94278,4),(94279,6),(94280,1),(94281,3),(94282,8),(94283,9),(94284,2),(94285,1),(94286,3),(94287,2),(94288,4),(94289,9),(94290,6),(94291,1),(94292,1),(94293,8),(94294,9),(94295,1),(94296,9),(94297,3),(94298,3),(94299,7),(94300,1),(94301,8),(94302,6),(94303,5),(94304,8),(94305,4),(94306,5),(94307,9),(94308,9),(94309,3),(94310,4),(94311,8),(94312,4),(94313,9),(94314,6),(94315,1),(94316,5),(94317,4),(94318,8),(94319,1),(94320,2),(94321,1),(94322,6),(94323,2),(94324,7),(94325,3),(94326,8),(94327,7),(94328,8),(94329,9),(94330,1),(94331,7),(94332,7),(94333,4),(94334,7),(94335,1),(94336,9),(94337,6),(94338,7),(94339,5),(94340,9),(94341,9),(94342,4),(94343,8),(94344,7),(94345,3),(94346,6),(94347,3),(94348,7),(94349,1),(94350,5),(94351,9),(94352,3),(94353,8),(94354,8),(94355,4),(94356,9),(94357,3),(94358,4),(94359,4),(94360,7),(94361,5),(94362,8),(94363,2),(94364,5),(94365,4),(94366,4),(94367,7),(94368,1),(94369,4),(94370,8),(94371,4),(94372,6),(94373,4),(94374,3),(94375,7),(94376,2),(94377,8),(94378,5),(94379,6),(94380,1),(94381,5),(94382,5),(94383,6),(94384,3),(94385,2),(94386,7),(94387,2),(94388,1),(94389,5),(94390,9),(94391,4),(94392,5),(94393,8),(94394,1),(94395,1),(94396,4),(94397,8),(94398,7),(94399,3),(94400,4),(94401,8),(94402,2),(94403,5),(94404,6),(94405,3),(94406,8),(94407,5),(94408,3),(94409,7),(94410,1),(94411,5),(94412,8),(94413,2),(94414,5),(94415,5),(94416,8),(94417,5),(94418,1),(94419,4),(94420,7),(94421,9),(94422,5),(94423,4),(94424,3),(94425,3),(94426,5),(94427,3),(94428,8),(94429,7),(94430,1),(94431,2),(94432,6),(94433,4),(94434,2),(94435,6),(94436,4),(94437,5),(94438,2),(94439,7),(94440,3),(94441,2),(94442,9),(94443,4),(94444,3),(94445,3),(94446,6),(94447,7),(94448,8),(94449,7),(94450,5),(94451,7),(94452,2),(94453,6),(94454,1),(94455,7),(94456,3),(94457,9),(94458,7),(94459,2),(94460,8),(94461,2),(94462,9),(94463,1),(94464,5),(94465,2),(94466,1),(94467,1),(94468,2),(94469,3),(94470,7),(94471,9),(94472,7),(94473,9),(94474,5),(94475,9),(94476,3),(94477,1),(94478,4),(94479,3),(94480,7),(94481,4),(94482,3),(94483,4),(94484,1),(94485,3),(94486,9),(94487,7),(94488,4),(94489,9),(94490,2),(94491,4),(94492,6),(94493,7),(94494,1),(94495,6),(94496,8),(94497,2),(94498,9),(94499,4),(94500,3),(94501,2),(94502,1),(94503,4),(94504,3),(94505,6),(94506,5),(94507,8),(94508,9),(94509,4),(94510,4),(94511,4),(94512,4),(94513,2),(94514,3),(94515,4),(94516,2),(94517,5),(94518,4),(94519,9),(94520,4),(94521,2),(94522,2),(94523,6),(94524,7),(94525,4),(94526,4),(94527,8),(94528,7),(94529,3),(94530,7),(94531,2),(94532,4),(94533,5),(94534,5),(94535,4),(94536,8),(94537,4),(94538,3),(94539,4),(94540,5),(94541,8),(94542,5),(94543,9),(94544,6),(94545,5),(94546,4),(94547,8),(94548,9),(94549,8),(94550,9),(94551,4),(94552,4),(94553,3),(94554,6),(94555,5),(94556,4),(94557,3),(94558,8),(94559,7),(94560,4),(94561,9),(94562,9),(94563,8),(94564,6),(94565,9),(94566,7),(94567,9),(94568,5),(94569,9),(94570,9),(94571,1),(94572,9),(94573,5),(94574,6),(94575,3),(94576,9),(94577,6),(94578,1),(94579,7),(94580,2),(94581,3),(94582,4),(94583,7),(94584,8),(94585,6),(94586,5),(94587,5),(94588,9),(94589,1),(94590,8),(94591,6),(94592,3),(94593,2),(94594,4),(94595,6),(94596,3),(94597,8),(94598,3),(94599,5),(94600,6),(94601,5),(94602,3),(94603,2),(94604,7),(94605,4),(94606,7),(94607,1),(94608,7),(94609,4),(94610,1),(94611,5),(94612,1),(94613,9),(94614,7),(94615,9),(94616,6),(94617,1),(94618,4),(94619,1),(94620,3),(94621,1),(94622,7),(94623,8),(94624,8),(94625,6),(94626,3),(94627,7),(94628,6),(94629,8),(94630,5),(94631,3),(94632,2),(94633,1),(94634,8),(94635,8),(94636,7),(94637,1),(94638,6),(94639,2),(94640,8),(94641,2),(94642,8),(94643,6),(94644,5),(94645,9),(94646,3),(94647,8),(94648,2),(94649,9),(94650,8),(94651,8),(94652,9),(94653,1),(94654,4),(94655,5),(94656,8),(94657,1),(94658,2),(94659,1),(94660,6),(94661,8),(94662,6),(94663,5),(94664,1),(94665,8),(94666,5),(94667,3),(94668,9),(94669,5),(94670,3),(94671,8),(94672,3),(94673,5),(94674,3),(94675,4),(94676,5),(94677,3),(94678,3),(94679,9),(94680,9),(94681,7),(94682,7),(94683,6),(94684,3),(94685,2),(94686,7),(94687,5),(94688,3),(94689,7),(94690,3),(94691,3),(94692,4),(94693,6),(94694,9),(94695,4),(94696,3),(94697,3),(94698,9),(94699,4),(94700,4),(94701,8),(94702,4),(94703,8),(94704,1),(94705,3),(94706,7),(94707,2),(94708,8),(94709,4),(94710,2),(94711,1),(94712,2),(94713,2),(94714,1),(94715,5),(94716,8),(94717,3),(94718,9),(94719,3),(94720,6),(94721,9),(94722,9),(94723,6),(94724,1),(94725,8),(94726,6),(94727,9),(94728,4),(94729,5),(94730,8),(94731,8),(94732,6),(94733,6),(94734,8),(94735,9),(94736,8),(94737,5),(94738,9),(94739,1),(94740,2),(94741,2),(94742,1),(94743,7),(94744,5),(94745,8),(94746,6),(94747,1),(94748,6),(94749,6),(94750,9),(94751,3),(94752,5),(94753,5),(94754,5),(94755,2),(94756,5),(94757,1),(94758,4),(94759,9),(94760,5),(94761,4),(94762,8),(94763,3),(94764,8),(94765,7),(94766,5),(94767,5),(94768,1),(94769,8),(94770,4),(94771,7),(94772,1),(94773,8),(94774,7),(94775,7),(94776,7),(94777,2),(94778,7),(94779,4),(94780,7),(94781,2),(94782,7),(94783,9),(94784,4),(94785,2),(94786,3),(94787,5),(94788,3),(94789,4),(94790,7),(94791,2),(94792,1),(94793,8),(94794,5),(94795,1),(94796,6),(94797,4),(94798,8),(94799,1),(94800,5),(94801,2),(94802,7),(94803,5),(94804,8),(94805,5),(94806,2),(94807,4),(94808,5),(94809,2),(94810,2),(94811,2),(94812,3),(94813,1),(94814,1),(94815,4),(94816,4),(94817,9),(94818,7),(94819,1),(94820,3),(94821,2),(94822,3),(94823,7),(94824,2),(94825,6),(94826,2),(94827,2),(94828,9),(94829,2),(94830,2),(94831,6),(94832,1),(94833,3),(94834,5),(94835,3),(94836,9),(94837,1),(94838,4),(94839,1),(94840,8),(94841,2),(94842,8),(94843,6),(94844,4),(94845,7),(94846,3),(94847,8),(94848,5),(94849,3),(94850,1),(94851,1),(94852,4),(94853,7),(94854,5),(94855,4),(94856,4),(94857,9),(94858,8),(94859,1),(94860,7),(94861,1),(94862,4),(94863,8),(94864,6),(94865,6),(94866,2),(94867,2),(94868,8),(94869,7),(94870,5),(94871,1),(94872,2),(94873,9),(94874,1),(94875,1),(94876,2),(94877,6),(94878,4),(94879,4),(94880,3),(94881,7),(94882,7),(94883,1),(94884,5),(94885,4),(94886,6),(94887,4),(94888,9),(94889,9),(94890,7),(94891,1),(94892,1),(94893,9),(94894,1),(94895,1),(94896,2),(94897,8),(94898,8),(94899,9),(94900,3),(94901,2),(94902,5),(94903,3),(94904,7),(94905,4),(94906,9),(94907,2),(94908,7),(94909,4),(94910,1),(94911,5),(94912,7),(94913,1),(94914,5),(94915,5),(94916,1),(94917,6),(94918,4),(94919,6),(94920,8),(94921,1),(94922,2),(94923,9),(94924,7),(94925,8),(94926,3),(94927,7),(94928,9),(94929,1),(94930,6),(94931,1),(94932,1),(94933,8),(94934,6),(94935,9),(94936,4),(94937,9),(94938,2),(94939,5),(94940,5),(94941,5),(94942,6),(94943,4),(94944,9),(94945,4),(94946,2),(94947,3),(94948,3),(94949,4),(94950,6),(94951,8),(94952,8),(94953,2),(94954,9),(94955,6),(94956,2),(94957,1),(94958,7),(94959,9),(94960,7),(94961,5),(94962,6),(94963,9),(94964,9),(94965,5),(94966,7),(94967,8),(94968,9),(94969,1),(94970,9),(94971,7),(94972,9),(94973,8),(94974,3),(94975,1),(94976,8),(94977,2),(94978,3),(94979,3),(94980,2),(94981,5),(94982,9),(94983,3),(94984,4),(94985,1),(94986,2),(94987,1),(94988,5),(94989,7),(94990,2),(94991,3),(94992,1),(94993,5),(94994,6),(94995,1),(94996,4),(94997,7),(94998,7),(94999,4),(95000,4),(95001,9),(95002,2),(95003,2),(95004,4),(95005,5),(95006,8),(95007,5),(95008,7),(95009,4),(95010,9),(95011,5),(95012,5),(95013,8),(95014,4),(95015,2),(95016,3),(95017,6),(95018,6),(95019,2),(95020,8),(95021,5),(95022,6),(95023,1),(95024,8),(95025,5),(95026,8),(95027,5),(95028,1),(95029,5),(95030,4),(95031,2),(95032,5),(95033,9),(95034,4),(95035,6),(95036,9),(95037,8),(95038,9),(95039,2),(95040,2),(95041,7),(95042,6),(95043,6),(95044,6),(95045,8),(95046,2),(95047,7),(95048,7),(95049,4),(95050,9),(95051,2),(95052,7),(95053,7),(95054,6),(95055,4),(95056,9),(95057,1),(95058,1),(95059,3),(95060,1),(95061,4),(95062,9),(95063,1),(95064,3),(95065,1),(95066,8),(95067,3),(95068,5),(95069,2),(95070,4),(95071,3),(95072,7),(95073,1),(95074,2),(95075,6),(95076,9),(95077,2),(95078,1),(95079,1),(95080,9),(95081,9),(95082,8),(95083,5),(95084,6),(95085,9),(95086,9),(95087,7),(95088,9),(95089,9),(95090,5),(95091,7),(95092,6),(95093,9),(95094,2),(95095,6),(95096,7),(95097,5),(95098,2),(95099,5),(95100,6),(95101,1),(95102,4),(95103,4),(95104,7),(95105,3),(95106,1),(95107,5),(95108,9),(95109,7),(95110,6),(95111,7),(95112,5),(95113,8),(95114,5),(95115,5),(95116,5),(95117,6),(95118,6),(95119,3),(95120,8),(95121,5),(95122,8),(95123,7),(95124,4),(95125,7),(95126,3),(95127,2),(95128,9),(95129,3),(95130,5),(95131,4),(95132,2),(95133,9),(95134,1),(95135,7),(95136,8),(95137,5),(95138,9),(95139,6),(95140,1),(95141,4),(95142,8),(95143,4),(95144,6),(95145,5),(95146,9),(95147,8),(95148,8),(95149,1),(95150,6),(95151,5),(95152,9),(95153,6),(95154,3),(95155,3),(95156,8),(95157,5),(95158,6),(95159,7),(95160,5),(95161,3),(95162,7),(95163,6),(95164,8),(95165,1),(95166,5),(95167,4),(95168,9),(95169,7),(95170,7),(95171,3),(95172,4),(95173,4),(95174,4),(95175,5),(95176,3),(95177,4),(95178,7),(95179,3),(95180,9),(95181,5),(95182,1),(95183,7),(95184,7),(95185,2),(95186,5),(95187,5),(95188,1),(95189,5),(95190,3),(95191,4),(95192,6),(95193,7),(95194,2),(95195,8),(95196,1),(95197,5),(95198,9),(95199,8),(95200,3),(95201,5),(95202,6),(95203,2),(95204,1),(95205,7),(95206,7),(95207,2),(95208,5),(95209,3),(95210,2),(95211,7),(95212,4),(95213,6),(95214,8),(95215,8),(95216,3),(95217,4),(95218,9),(95219,8),(95220,5),(95221,5),(95222,4),(95223,2),(95224,8),(95225,2),(95226,5),(95227,6),(95228,7),(95229,5),(95230,9),(95231,1),(95232,7),(95233,6),(95234,5),(95235,2),(95236,7),(95237,5),(95238,9),(95239,4),(95240,5),(95241,8),(95242,6),(95243,1),(95244,8),(95245,1),(95246,3),(95247,7),(95248,3),(95249,7),(95250,3),(95251,4),(95252,1),(95253,4),(95254,2),(95255,1),(95256,5),(95257,7),(95258,2),(95259,2),(95260,8),(95261,8),(95262,8),(95263,8),(95264,2),(95265,3),(95266,1),(95267,3),(95268,7),(95269,1),(95270,7),(95271,4),(95272,5),(95273,3),(95274,1),(95275,4),(95276,6),(95277,7),(95278,3),(95279,5),(95280,1),(95281,8),(95282,9),(95283,6),(95284,1),(95285,2),(95286,8),(95287,4),(95288,3),(95289,1),(95290,9),(95291,1),(95292,8),(95293,4),(95294,9),(95295,2),(95296,7),(95297,5),(95298,2),(95299,2),(95300,1),(95301,4),(95302,6),(95303,1),(95304,2),(95305,2),(95306,6),(95307,5),(95308,9),(95309,6),(95310,5),(95311,6),(95312,8),(95313,9),(95314,5),(95315,6),(95316,7),(95317,8),(95318,7),(95319,4),(95320,6),(95321,7),(95322,6),(95323,7),(95324,8),(95325,8),(95326,6),(95327,6),(95328,6),(95329,7),(95330,8),(95331,6),(95332,7),(95333,7),(95334,4),(95335,9),(95336,1),(95337,8),(95338,6),(95339,1),(95340,2),(95341,6),(95342,3),(95343,3),(95344,9),(95345,6),(95346,7),(95347,8),(95348,1),(95349,9),(95350,2),(95351,3),(95352,7),(95353,7),(95354,3),(95355,4),(95356,8),(95357,7),(95358,7),(95359,7),(95360,7),(95361,3),(95362,2),(95363,7),(95364,1),(95365,5),(95366,2),(95367,2),(95368,5),(95369,5),(95370,4),(95371,4),(95372,3),(95373,3),(95374,1),(95375,8),(95376,3),(95377,4),(95378,7),(95379,8),(95380,5),(95381,3),(95382,6),(95383,3),(95384,4),(95385,1),(95386,9),(95387,8),(95388,4),(95389,5),(95390,4),(95391,1),(95392,2),(95393,4),(95394,4),(95395,6),(95396,5),(95397,2),(95398,3),(95399,8),(95400,6),(95401,9),(95402,7),(95403,8),(95404,4),(95405,3),(95406,8),(95407,6),(95408,4),(95409,3),(95410,5),(95411,9),(95412,2),(95413,1),(95414,5),(95415,4),(95416,2),(95417,9),(95418,9),(95419,1),(95420,6),(95421,5),(95422,5),(95423,2),(95424,1),(95425,1),(95426,3),(95427,8),(95428,6),(95429,5),(95430,4),(95431,1),(95432,2),(95433,5),(95434,4),(95435,4),(95436,8),(95437,6),(95438,2),(95439,9),(95440,6),(95441,5),(95442,5),(95443,6),(95444,1),(95445,3),(95446,8),(95447,6),(95448,7),(95449,5),(95450,5),(95451,7),(95452,3),(95453,9),(95454,3),(95455,9),(95456,9),(95457,7),(95458,9),(95459,9),(95460,8),(95461,2),(95462,2),(95463,6),(95464,9),(95465,7),(95466,6),(95467,6),(95468,4),(95469,4),(95470,4),(95471,8),(95472,5),(95473,3),(95474,8),(95475,3),(95476,2),(95477,4),(95478,9),(95479,6),(95480,7),(95481,1),(95482,2),(95483,7),(95484,3),(95485,1),(95486,7),(95487,3),(95488,5),(95489,3),(95490,1),(95491,4),(95492,6),(95493,9),(95494,4),(95495,8),(95496,5),(95497,4),(95498,3),(95499,8),(95500,4),(95501,6),(95502,2),(95503,3),(95504,6),(95505,6),(95506,8),(95507,4),(95508,4),(95509,3),(95510,1),(95511,6),(95512,7),(95513,7),(95514,1),(95515,5),(95516,1),(95517,6),(95518,7),(95519,6),(95520,7),(95521,1),(95522,6),(95523,7),(95524,4),(95525,5),(95526,5),(95527,7),(95528,8),(95529,1),(95530,2),(95531,9),(95532,7),(95533,4),(95534,3),(95535,1),(95536,6),(95537,6),(95538,8),(95539,5),(95540,6),(95541,8),(95542,4),(95543,8),(95544,6),(95545,2),(95546,9),(95547,7),(95548,5),(95549,4),(95550,1),(95551,8),(95552,6),(95553,8),(95554,3),(95555,6),(95556,8),(95557,1),(95558,3),(95559,9),(95560,4),(95561,3),(95562,5),(95563,6),(95564,1),(95565,8),(95566,5),(95567,5),(95568,3),(95569,5),(95570,9),(95571,7),(95572,1),(95573,4),(95574,3),(95575,8),(95576,4),(95577,3),(95578,7),(95579,2),(95580,2),(95581,2),(95582,5),(95583,5),(95584,6),(95585,6),(95586,1),(95587,5),(95588,9),(95589,4),(95590,8),(95591,2),(95592,1),(95593,5),(95594,6),(95595,7),(95596,8),(95597,5),(95598,4),(95599,1),(95600,7),(95601,5),(95602,6),(95603,7),(95604,9),(95605,3),(95606,4),(95607,4),(95608,9),(95609,1),(95610,8),(95611,3),(95612,6),(95613,3),(95614,2),(95615,2),(95616,2),(95617,6),(95618,6),(95619,2),(95620,9),(95621,2),(95622,1),(95623,3),(95624,4),(95625,5),(95626,9),(95627,9),(95628,5),(95629,2),(95630,7),(95631,7),(95632,8),(95633,3),(95634,7),(95635,4),(95636,7),(95637,4),(95638,7),(95639,1),(95640,7),(95641,2),(95642,1),(95643,9),(95644,5),(95645,4),(95646,3),(95647,1),(95648,9),(95649,6),(95650,8),(95651,7),(95652,4),(95653,2),(95654,9),(95655,2),(95656,7),(95657,2),(95658,7),(95659,4),(95660,4),(95661,4),(95662,2),(95663,6),(95664,9),(95665,4),(95666,4),(95667,9),(95668,9),(95669,5),(95670,9),(95671,4),(95672,8),(95673,3),(95674,8),(95675,1),(95676,3),(95677,5),(95678,1),(95679,7),(95680,2),(95681,9),(95682,1),(95683,6),(95684,5),(95685,5),(95686,4),(95687,3),(95688,2),(95689,6),(95690,1),(95691,4),(95692,1),(95693,9),(95694,3),(95695,8),(95696,2),(95697,3),(95698,7),(95699,5),(95700,2),(95701,3),(95702,5),(95703,6),(95704,6),(95705,5),(95706,3),(95707,4),(95708,1),(95709,1),(95710,5),(95711,2),(95712,5),(95713,5),(95714,2),(95715,5),(95716,5),(95717,4),(95718,9),(95719,9),(95720,3),(95721,2),(95722,3),(95723,6),(95724,7),(95725,5),(95726,1),(95727,8),(95728,7),(95729,4),(95730,7),(95731,9),(95732,5),(95733,7),(95734,8),(95735,3),(95736,2),(95737,9),(95738,5),(95739,8),(95740,4),(95741,5),(95742,7),(95743,8),(95744,8),(95745,2),(95746,3),(95747,6),(95748,7),(95749,6),(95750,4),(95751,8),(95752,1),(95753,3),(95754,5),(95755,8),(95756,9),(95757,6),(95758,3),(95759,5),(95760,7),(95761,1),(95762,3),(95763,6),(95764,1),(95765,4),(95766,1),(95767,3),(95768,3),(95769,2),(95770,6),(95771,6),(95772,3),(95773,8),(95774,6),(95775,8),(95776,9),(95777,4),(95778,3),(95779,4),(95780,2),(95781,4),(95782,8),(95783,1),(95784,6),(95785,4),(95786,1),(95787,2),(95788,1),(95789,3),(95790,1),(95791,8),(95792,7),(95793,2),(95794,7),(95795,4),(95796,9),(95797,1),(95798,8),(95799,9),(95800,4),(95801,5),(95802,9),(95803,9),(95804,2),(95805,8),(95806,4),(95807,9),(95808,9),(95809,6),(95810,8),(95811,9),(95812,9),(95813,7),(95814,4),(95815,9),(95816,1),(95817,8),(95818,9),(95819,3),(95820,3),(95821,2),(95822,9),(95823,8),(95824,2),(95825,8),(95826,8),(95827,3),(95828,2),(95829,3),(95830,9),(95831,9),(95832,3),(95833,7),(95834,6),(95835,7),(95836,9),(95837,6),(95838,1),(95839,2),(95840,5),(95841,1),(95842,4),(95843,6),(95844,7),(95845,2),(95846,4),(95847,4),(95848,5),(95849,9),(95850,3),(95851,8),(95852,8),(95853,6),(95854,4),(95855,5),(95856,7),(95857,7),(95858,8),(95859,9),(95860,3),(95861,2),(95862,5),(95863,5),(95864,9),(95865,7),(95866,2),(95867,9),(95868,2),(95869,7),(95870,8),(95871,4),(95872,9),(95873,5),(95874,5),(95875,1),(95876,8),(95877,9),(95878,9),(95879,7),(95880,6),(95881,6),(95882,6),(95883,9),(95884,1),(95885,6),(95886,1),(95887,2),(95888,5),(95889,1),(95890,3),(95891,6),(95892,7),(95893,2),(95894,5),(95895,3),(95896,6),(95897,1),(95898,2),(95899,9),(95900,4),(95901,7),(95902,3),(95903,3),(95904,9),(95905,8),(95906,4),(95907,6),(95908,8),(95909,8),(95910,8),(95911,4),(95912,3),(95913,4),(95914,2),(95915,6),(95916,8),(95917,4),(95918,3),(95919,2),(95920,1),(95921,6),(95922,4),(95923,7),(95924,3),(95925,8),(95926,8),(95927,5),(95928,3),(95929,6),(95930,6),(95931,8),(95932,2),(95933,5),(95934,7),(95935,9),(95936,3),(95937,1),(95938,7),(95939,6),(95940,2),(95941,2),(95942,7),(95943,1),(95944,8),(95945,5),(95946,9),(95947,9),(95948,3),(95949,5),(95950,9),(95951,7),(95952,3),(95953,6),(95954,7),(95955,5),(95956,9),(95957,9),(95958,4),(95959,4),(95960,1),(95961,5),(95962,6),(95963,2),(95964,3),(95965,4),(95966,5),(95967,3),(95968,6),(95969,1),(95970,9),(95971,8),(95972,2),(95973,4),(95974,5),(95975,3),(95976,4),(95977,4),(95978,7),(95979,4),(95980,6),(95981,9),(95982,4),(95983,7),(95984,8),(95985,7),(95986,3),(95987,4),(95988,7),(95989,9),(95990,3),(95991,6),(95992,3),(95993,2),(95994,6),(95995,1),(95996,4),(95997,4),(95998,5),(95999,8),(96000,7),(96001,4),(96002,1),(96003,3),(96004,9),(96005,8),(96006,7),(96007,5),(96008,6),(96009,7),(96010,1),(96011,1),(96012,5),(96013,9),(96014,8),(96015,1),(96016,9),(96017,6),(96018,5),(96019,9),(96020,4),(96021,2),(96022,3),(96023,6),(96024,3),(96025,2),(96026,5),(96027,1),(96028,2),(96029,7),(96030,7),(96031,5),(96032,7),(96033,3),(96034,5),(96035,6),(96036,7),(96037,6),(96038,4),(96039,1),(96040,7),(96041,5),(96042,2),(96043,6),(96044,2),(96045,9),(96046,8),(96047,8),(96048,1),(96049,4),(96050,6),(96051,8),(96052,4),(96053,6),(96054,2),(96055,6),(96056,2),(96057,4),(96058,8),(96059,6),(96060,3),(96061,8),(96062,4),(96063,2),(96064,1),(96065,3),(96066,2),(96067,8),(96068,1),(96069,9),(96070,2),(96071,7),(96072,5),(96073,3),(96074,1),(96075,6),(96076,2),(96077,5),(96078,6),(96079,5),(96080,7),(96081,4),(96082,9),(96083,4),(96084,7),(96085,2),(96086,5),(96087,5),(96088,6),(96089,7),(96090,8),(96091,4),(96092,9),(96093,7),(96094,4),(96095,2),(96096,2),(96097,5),(96098,5),(96099,5),(96100,7),(96101,5),(96102,6),(96103,8),(96104,2),(96105,9),(96106,6),(96107,2),(96108,4),(96109,6),(96110,1),(96111,5),(96112,6),(96113,3),(96114,1),(96115,7),(96116,9),(96117,1),(96118,7),(96119,9),(96120,9),(96121,3),(96122,4),(96123,4),(96124,2),(96125,3),(96126,6),(96127,9),(96128,1),(96129,1),(96130,6),(96131,4),(96132,5),(96133,1),(96134,5),(96135,7),(96136,6),(96137,5),(96138,9),(96139,4),(96140,7),(96141,9),(96142,2),(96143,8),(96144,3),(96145,8),(96146,9),(96147,9),(96148,1),(96149,5),(96150,8),(96151,7),(96152,2),(96153,7),(96154,5),(96155,2),(96156,8),(96157,3),(96158,2),(96159,2),(96160,7),(96161,6),(96162,8),(96163,5),(96164,9),(96165,3),(96166,4),(96167,2),(96168,9),(96169,3),(96170,1),(96171,9),(96172,2),(96173,5),(96174,2),(96175,5),(96176,8),(96177,3),(96178,3),(96179,5),(96180,6),(96181,2),(96182,4),(96183,5),(96184,5),(96185,9),(96186,3),(96187,8),(96188,4),(96189,4),(96190,1),(96191,6),(96192,8),(96193,4),(96194,2),(96195,4),(96196,4),(96197,9),(96198,1),(96199,3),(96200,9),(96201,1),(96202,3),(96203,4),(96204,6),(96205,6),(96206,8),(96207,5),(96208,6),(96209,8),(96210,6),(96211,8),(96212,6),(96213,4),(96214,6),(96215,3),(96216,7),(96217,2),(96218,6),(96219,7),(96220,3),(96221,3),(96222,2),(96223,1),(96224,3),(96225,5),(96226,5),(96227,2),(96228,4),(96229,6),(96230,3),(96231,6),(96232,3),(96233,7),(96234,9),(96235,3),(96236,1),(96237,8),(96238,5),(96239,9),(96240,8),(96241,3),(96242,5),(96243,9),(96244,9),(96245,3),(96246,8),(96247,3),(96248,2),(96249,7),(96250,3),(96251,1),(96252,4),(96253,1),(96254,7),(96255,7),(96256,4),(96257,6),(96258,6),(96259,9),(96260,5),(96261,6),(96262,8),(96263,6),(96264,2),(96265,7),(96266,3),(96267,4),(96268,9),(96269,7),(96270,2),(96271,3),(96272,3),(96273,7),(96274,8),(96275,7),(96276,4),(96277,8),(96278,2),(96279,1),(96280,6),(96281,1),(96282,6),(96283,5),(96284,4),(96285,2),(96286,5),(96287,9),(96288,5),(96289,6),(96290,9),(96291,5),(96292,9),(96293,9),(96294,8),(96295,8),(96296,4),(96297,2),(96298,7),(96299,9),(96300,5),(96301,4),(96302,1),(96303,8),(96304,4),(96305,3),(96306,5),(96307,2),(96308,5),(96309,2),(96310,7),(96311,3),(96312,9),(96313,8),(96314,1),(96315,3),(96316,7),(96317,2),(96318,1),(96319,9),(96320,5),(96321,4),(96322,6),(96323,6),(96324,6),(96325,5),(96326,1),(96327,4),(96328,9),(96329,6),(96330,9),(96331,5),(96332,1),(96333,4),(96334,4),(96335,8),(96336,4),(96337,5),(96338,6),(96339,1),(96340,2),(96341,1),(96342,1),(96343,3),(96344,4),(96345,2),(96346,9),(96347,2),(96348,8),(96349,1),(96350,2),(96351,7),(96352,1),(96353,1),(96354,8),(96355,5),(96356,2),(96357,2),(96358,3),(96359,9),(96360,1),(96361,1),(96362,1),(96363,9),(96364,1),(96365,3),(96366,4),(96367,3),(96368,8),(96369,4),(96370,9),(96371,2),(96372,4),(96373,9),(96374,5),(96375,3),(96376,4),(96377,9),(96378,8),(96379,5),(96380,7),(96381,7),(96382,8),(96383,2),(96384,3),(96385,1),(96386,2),(96387,6),(96388,6),(96389,3),(96390,4),(96391,4),(96392,8),(96393,4),(96394,1),(96395,2),(96396,1),(96397,8),(96398,3),(96399,5),(96400,5),(96401,8),(96402,5),(96403,5),(96404,3),(96405,9),(96406,2),(96407,6),(96408,3),(96409,3),(96410,2),(96411,8),(96412,1),(96413,8),(96414,4),(96415,6),(96416,4),(96417,7),(96418,5),(96419,3),(96420,8),(96421,5),(96422,8),(96423,3),(96424,5),(96425,9),(96426,2),(96427,9),(96428,2),(96429,9),(96430,4),(96431,5),(96432,4),(96433,1),(96434,1),(96435,8),(96436,8),(96437,3),(96438,4),(96439,6),(96440,9),(96441,7),(96442,2),(96443,9),(96444,7),(96445,3),(96446,7),(96447,9),(96448,9),(96449,7),(96450,7),(96451,2),(96452,2),(96453,2),(96454,2),(96455,9),(96456,1),(96457,6),(96458,4),(96459,7),(96460,9),(96461,7),(96462,7),(96463,6),(96464,4),(96465,6),(96466,7),(96467,3),(96468,9),(96469,9),(96470,4),(96471,7),(96472,9),(96473,4),(96474,1),(96475,5),(96476,5),(96477,5),(96478,4),(96479,8),(96480,3),(96481,7),(96482,1),(96483,4),(96484,9),(96485,4),(96486,9),(96487,5),(96488,8),(96489,2),(96490,7),(96491,7),(96492,9),(96493,3),(96494,3),(96495,5),(96496,2),(96497,1),(96498,7),(96499,3),(96500,7),(96501,7),(96502,9),(96503,1),(96504,7),(96505,7),(96506,2),(96507,5),(96508,6),(96509,3),(96510,7),(96511,5),(96512,6),(96513,1),(96514,9),(96515,5),(96516,4),(96517,2),(96518,3),(96519,4),(96520,8),(96521,5),(96522,6),(96523,9),(96524,5),(96525,1),(96526,8),(96527,2),(96528,2),(96529,3),(96530,5),(96531,9),(96532,9),(96533,9),(96534,5),(96535,8),(96536,5),(96537,3),(96538,8),(96539,9),(96540,6),(96541,3),(96542,1),(96543,8),(96544,3),(96545,5),(96546,3),(96547,5),(96548,1),(96549,5),(96550,1),(96551,2),(96552,4),(96553,7),(96554,1),(96555,2),(96556,3),(96557,7),(96558,6),(96559,3),(96560,7),(96561,7),(96562,6),(96563,9),(96564,8),(96565,9),(96566,7),(96567,4),(96568,4),(96569,3),(96570,6),(96571,2),(96572,1),(96573,5),(96574,3),(96575,2),(96576,8),(96577,8),(96578,5),(96579,5),(96580,4),(96581,3),(96582,2),(96583,3),(96584,7),(96585,1),(96586,8),(96587,4),(96588,6),(96589,5),(96590,8),(96591,5),(96592,1),(96593,4),(96594,1),(96595,9),(96596,2),(96597,8),(96598,6),(96599,3),(96600,5),(96601,3),(96602,1),(96603,9),(96604,4),(96605,6),(96606,7),(96607,4),(96608,8),(96609,8),(96610,8),(96611,2),(96612,6),(96613,9),(96614,5),(96615,4),(96616,8),(96617,9),(96618,6),(96619,5),(96620,9),(96621,8),(96622,1),(96623,5),(96624,7),(96625,4),(96626,2),(96627,1),(96628,5),(96629,6),(96630,2),(96631,4),(96632,7),(96633,4),(96634,4),(96635,3),(96636,3),(96637,7),(96638,1),(96639,4),(96640,1),(96641,7),(96642,5),(96643,2),(96644,7),(96645,4),(96646,8),(96647,5),(96648,5),(96649,7),(96650,4),(96651,7),(96652,5),(96653,9),(96654,4),(96655,1),(96656,8),(96657,2),(96658,1),(96659,5),(96660,3),(96661,3),(96662,6),(96663,6),(96664,9),(96665,3),(96666,8),(96667,9),(96668,3),(96669,5),(96670,4),(96671,7),(96672,7),(96673,4),(96674,1),(96675,1),(96676,1),(96677,7),(96678,2),(96679,6),(96680,3),(96681,9),(96682,7),(96683,3),(96684,3),(96685,1),(96686,6),(96687,2),(96688,4),(96689,2),(96690,3),(96691,5),(96692,9),(96693,4),(96694,2),(96695,8),(96696,4),(96697,4),(96698,2),(96699,7),(96700,3),(96701,4),(96702,8),(96703,5),(96704,6),(96705,7),(96706,5),(96707,5),(96708,6),(96709,8),(96710,2),(96711,2),(96712,5),(96713,5),(96714,5),(96715,6),(96716,7),(96717,5),(96718,8),(96719,8),(96720,6),(96721,2),(96722,8),(96723,4),(96724,3),(96725,1),(96726,1),(96727,4),(96728,6),(96729,1),(96730,9),(96731,6),(96732,5),(96733,4),(96734,8),(96735,2),(96736,9),(96737,2),(96738,8),(96739,3),(96740,7),(96741,7),(96742,8),(96743,9),(96744,4),(96745,1),(96746,8),(96747,5),(96748,3),(96749,2),(96750,8),(96751,4),(96752,7),(96753,7),(96754,6),(96755,7),(96756,2),(96757,6),(96758,3),(96759,6),(96760,3),(96761,4),(96762,5),(96763,8),(96764,8),(96765,9),(96766,4),(96767,5),(96768,7),(96769,6),(96770,4),(96771,3),(96772,1),(96773,6),(96774,5),(96775,5),(96776,6),(96777,2),(96778,4),(96779,4),(96780,9),(96781,1),(96782,2),(96783,5),(96784,6),(96785,6),(96786,7),(96787,7),(96788,6),(96789,8),(96790,1),(96791,6),(96792,5),(96793,7),(96794,3),(96795,3),(96796,6),(96797,8),(96798,6),(96799,7),(96800,6),(96801,9),(96802,2),(96803,1),(96804,7),(96805,2),(96806,8),(96807,8),(96808,5),(96809,2),(96810,5),(96811,3),(96812,8),(96813,9),(96814,2),(96815,6),(96816,7),(96817,9),(96818,4),(96819,8),(96820,7),(96821,3),(96822,3),(96823,2),(96824,9),(96825,1),(96826,1),(96827,8),(96828,1),(96829,7),(96830,8),(96831,5),(96832,2),(96833,7),(96834,6),(96835,1),(96836,6),(96837,7),(96838,9),(96839,9),(96840,5),(96841,2),(96842,2),(96843,6),(96844,9),(96845,9),(96846,4),(96847,8),(96848,8),(96849,6),(96850,2),(96851,4),(96852,4),(96853,3),(96854,8),(96855,9),(96856,3),(96857,6),(96858,2),(96859,2),(96860,2),(96861,5),(96862,3),(96863,8),(96864,4),(96865,7),(96866,3),(96867,4),(96868,6),(96869,8),(96870,9),(96871,1),(96872,2),(96873,9),(96874,8),(96875,8),(96876,6),(96877,4),(96878,4),(96879,5),(96880,3),(96881,5),(96882,1),(96883,3),(96884,5),(96885,5),(96886,5),(96887,9),(96888,6),(96889,2),(96890,3),(96891,5),(96892,8),(96893,3),(96894,8),(96895,7),(96896,5),(96897,4),(96898,2),(96899,6),(96900,4),(96901,2),(96902,5),(96903,5),(96904,4),(96905,1),(96906,8),(96907,4),(96908,8),(96909,3),(96910,8),(96911,8),(96912,5),(96913,2),(96914,8),(96915,7),(96916,8),(96917,4),(96918,9),(96919,6),(96920,5),(96921,1),(96922,6),(96923,5),(96924,6),(96925,9),(96926,3),(96927,2),(96928,3),(96929,2),(96930,9),(96931,9),(96932,3),(96933,6),(96934,8),(96935,7),(96936,1),(96937,3),(96938,3),(96939,4),(96940,5),(96941,3),(96942,8),(96943,9),(96944,2),(96945,3),(96946,5),(96947,7),(96948,8),(96949,1),(96950,2),(96951,3),(96952,4),(96953,8),(96954,7),(96955,7),(96956,7),(96957,9),(96958,9),(96959,4),(96960,3),(96961,1),(96962,2),(96963,6),(96964,5),(96965,9),(96966,4),(96967,3),(96968,9),(96969,9),(96970,7),(96971,2),(96972,1),(96973,5),(96974,7),(96975,9),(96976,9),(96977,5),(96978,4),(96979,1),(96980,5),(96981,3),(96982,8),(96983,1),(96984,7),(96985,7),(96986,1),(96987,5),(96988,2),(96989,1),(96990,7),(96991,6),(96992,2),(96993,1),(96994,9),(96995,1),(96996,5),(96997,3),(96998,7),(96999,6),(97000,2),(97001,4),(97002,9),(97003,2),(97004,2),(97005,5),(97006,5),(97007,6),(97008,1),(97009,5),(97010,3),(97011,7),(97012,9),(97013,8),(97014,9),(97015,3),(97016,2),(97017,3),(97018,1),(97019,1),(97020,2),(97021,6),(97022,2),(97023,1),(97024,3),(97025,4),(97026,5),(97027,3),(97028,4),(97029,4),(97030,6),(97031,4),(97032,8),(97033,8),(97034,8),(97035,7),(97036,5),(97037,6),(97038,3),(97039,2),(97040,3),(97041,8),(97042,9),(97043,8),(97044,4),(97045,7),(97046,2),(97047,1),(97048,9),(97049,6),(97050,6),(97051,1),(97052,2),(97053,5),(97054,5),(97055,3),(97056,8),(97057,1),(97058,6),(97059,4),(97060,9),(97061,8),(97062,1),(97063,8),(97064,4),(97065,2),(97066,7),(97067,6),(97068,3),(97069,9),(97070,1),(97071,4),(97072,6),(97073,8),(97074,5),(97075,3),(97076,6),(97077,7),(97078,1),(97079,2),(97080,7),(97081,9),(97082,6),(97083,7),(97084,1),(97085,8),(97086,6),(97087,2),(97088,9),(97089,5),(97090,6),(97091,1),(97092,7),(97093,4),(97094,3),(97095,5),(97096,6),(97097,8),(97098,1),(97099,7),(97100,5),(97101,2),(97102,2),(97103,6),(97104,3),(97105,9),(97106,7),(97107,3),(97108,8),(97109,8),(97110,9),(97111,3),(97112,4),(97113,4),(97114,6),(97115,5),(97116,6),(97117,5),(97118,6),(97119,1),(97120,7),(97121,4),(97122,5),(97123,1),(97124,2),(97125,3),(97126,9),(97127,5),(97128,5),(97129,8),(97130,8),(97131,9),(97132,5),(97133,6),(97134,5),(97135,9),(97136,1),(97137,3),(97138,4),(97139,5),(97140,8),(97141,7),(97142,2),(97143,8),(97144,9),(97145,3),(97146,1),(97147,6),(97148,9),(97149,2),(97150,6),(97151,6),(97152,4),(97153,6),(97154,6),(97155,3),(97156,4),(97157,3),(97158,3),(97159,3),(97160,1),(97161,9),(97162,9),(97163,2),(97164,7),(97165,3),(97166,2),(97167,6),(97168,4),(97169,4),(97170,6),(97171,2),(97172,6),(97173,3),(97174,6),(97175,6),(97176,3),(97177,8),(97178,1),(97179,8),(97180,9),(97181,6),(97182,9),(97183,8),(97184,5),(97185,8),(97186,1),(97187,3),(97188,2),(97189,2),(97190,1),(97191,7),(97192,6),(97193,8),(97194,6),(97195,6),(97196,4),(97197,3),(97198,8),(97199,8),(97200,1),(97201,1),(97202,9),(97203,7),(97204,9),(97205,8),(97206,5),(97207,7),(97208,9),(97209,2),(97210,6),(97211,5),(97212,8),(97213,3),(97214,6),(97215,9),(97216,6),(97217,1),(97218,4),(97219,3),(97220,6),(97221,9),(97222,3),(97223,5),(97224,3),(97225,7),(97226,2),(97227,4),(97228,4),(97229,1),(97230,6),(97231,4),(97232,4),(97233,3),(97234,6),(97235,7),(97236,2),(97237,6),(97238,7),(97239,5),(97240,6),(97241,4),(97242,7),(97243,9),(97244,4),(97245,8),(97246,3),(97247,6),(97248,3),(97249,2),(97250,3),(97251,2),(97252,7),(97253,7),(97254,7),(97255,4),(97256,7),(97257,2),(97258,9),(97259,8),(97260,3),(97261,2),(97262,3),(97263,9),(97264,2),(97265,4),(97266,2),(97267,4),(97268,8),(97269,9),(97270,1),(97271,2),(97272,1),(97273,8),(97274,7),(97275,4),(97276,9),(97277,3),(97278,6),(97279,6),(97280,9),(97281,8),(97282,3),(97283,7),(97284,5),(97285,9),(97286,4),(97287,4),(97288,1),(97289,7),(97290,7),(97291,2),(97292,9),(97293,8),(97294,4),(97295,3),(97296,9),(97297,1),(97298,8),(97299,9),(97300,1),(97301,7),(97302,7),(97303,3),(97304,3),(97305,8),(97306,7),(97307,2),(97308,6),(97309,1),(97310,5),(97311,6),(97312,7),(97313,1),(97314,7),(97315,1),(97316,4),(97317,5),(97318,5),(97319,9),(97320,4),(97321,6),(97322,9),(97323,6),(97324,6),(97325,7),(97326,3),(97327,5),(97328,6),(97329,4),(97330,5),(97331,5),(97332,8),(97333,2),(97334,4),(97335,3),(97336,9),(97337,4),(97338,6),(97339,5),(97340,9),(97341,3),(97342,4),(97343,5),(97344,5),(97345,5),(97346,8),(97347,4),(97348,9),(97349,6),(97350,9),(97351,4),(97352,4),(97353,1),(97354,7),(97355,7),(97356,7),(97357,8),(97358,5),(97359,8),(97360,3),(97361,8),(97362,2),(97363,3),(97364,3),(97365,8),(97366,8),(97367,4),(97368,3),(97369,9),(97370,4),(97371,9),(97372,7),(97373,1),(97374,9),(97375,8),(97376,3),(97377,9),(97378,2),(97379,3),(97380,7),(97381,7),(97382,2),(97383,5),(97384,9),(97385,2),(97386,6),(97387,2),(97388,8),(97389,7),(97390,9),(97391,7),(97392,8),(97393,9),(97394,5),(97395,4),(97396,8),(97397,6),(97398,5),(97399,9),(97400,9),(97401,7),(97402,6),(97403,8),(97404,1),(97405,8),(97406,3),(97407,3),(97408,6),(97409,6),(97410,6),(97411,3),(97412,6),(97413,4),(97414,6),(97415,6),(97416,2),(97417,6),(97418,1),(97419,6),(97420,1),(97421,2),(97422,3),(97423,1),(97424,2),(97425,3),(97426,5),(97427,2),(97428,3),(97429,7),(97430,7),(97431,3),(97432,4),(97433,2),(97434,8),(97435,5),(97436,5),(97437,5),(97438,8),(97439,4),(97440,9),(97441,8),(97442,4),(97443,5),(97444,7),(97445,6),(97446,3),(97447,6),(97448,6),(97449,8),(97450,7),(97451,7),(97452,7),(97453,8),(97454,8),(97455,3),(97456,2),(97457,8),(97458,3),(97459,9),(97460,9),(97461,9),(97462,6),(97463,9),(97464,8),(97465,9),(97466,6),(97467,6),(97468,6),(97469,3),(97470,3),(97471,7),(97472,4),(97473,8),(97474,3),(97475,2),(97476,3),(97477,9),(97478,5),(97479,9),(97480,2),(97481,6),(97482,2),(97483,1),(97484,2),(97485,6),(97486,6),(97487,5),(97488,3),(97489,8),(97490,5),(97491,1),(97492,6),(97493,3),(97494,2),(97495,8),(97496,1),(97497,1),(97498,3),(97499,2),(97500,1),(97501,4),(97502,1),(97503,2),(97504,9),(97505,7),(97506,9),(97507,4),(97508,3),(97509,5),(97510,8),(97511,5),(97512,1),(97513,1),(97514,9),(97515,3),(97516,9),(97517,1),(97518,8),(97519,7),(97520,7),(97521,9),(97522,2),(97523,2),(97524,1),(97525,7),(97526,6),(97527,8),(97528,4),(97529,5),(97530,1),(97531,8),(97532,1),(97533,1),(97534,6),(97535,6),(97536,1),(97537,7),(97538,5),(97539,3),(97540,5),(97541,1),(97542,8),(97543,7),(97544,3),(97545,9),(97546,4),(97547,8),(97548,1),(97549,1),(97550,8),(97551,4),(97552,7),(97553,3),(97554,2),(97555,6),(97556,8),(97557,2),(97558,8),(97559,1),(97560,8),(97561,1),(97562,1),(97563,8),(97564,7),(97565,3),(97566,8),(97567,1),(97568,7),(97569,8),(97570,6),(97571,9),(97572,5),(97573,9),(97574,8),(97575,6),(97576,9),(97577,5),(97578,3),(97579,8),(97580,8),(97581,1),(97582,9),(97583,6),(97584,2),(97585,8),(97586,8),(97587,5),(97588,8),(97589,4),(97590,6),(97591,4),(97592,5),(97593,8),(97594,7),(97595,3),(97596,9),(97597,2),(97598,8),(97599,1),(97600,3),(97601,6),(97602,6),(97603,6),(97604,4),(97605,7),(97606,7),(97607,5),(97608,7),(97609,6),(97610,1),(97611,6),(97612,3),(97613,9),(97614,6),(97615,4),(97616,6),(97617,8),(97618,2),(97619,9),(97620,8),(97621,2),(97622,4),(97623,9),(97624,5),(97625,1),(97626,2),(97627,5),(97628,4),(97629,4),(97630,4),(97631,1),(97632,4),(97633,6),(97634,4),(97635,7),(97636,7),(97637,8),(97638,9),(97639,3),(97640,7),(97641,4),(97642,9),(97643,8),(97644,1),(97645,9),(97646,4),(97647,7),(97648,1),(97649,5),(97650,7),(97651,7),(97652,9),(97653,3),(97654,6),(97655,6),(97656,6),(97657,2),(97658,8),(97659,4),(97660,6),(97661,8),(97662,4),(97663,6),(97664,2),(97665,3),(97666,4),(97667,6),(97668,8),(97669,9),(97670,3),(97671,5),(97672,3),(97673,9),(97674,7),(97675,5),(97676,5),(97677,4),(97678,8),(97679,4),(97680,9),(97681,2),(97682,1),(97683,2),(97684,9),(97685,3),(97686,7),(97687,6),(97688,6),(97689,1),(97690,2),(97691,4),(97692,2),(97693,5),(97694,8),(97695,2),(97696,5),(97697,1),(97698,1),(97699,8),(97700,6),(97701,5),(97702,8),(97703,1),(97704,3),(97705,9),(97706,6),(97707,5),(97708,3),(97709,6),(97710,7),(97711,8),(97712,5),(97713,8),(97714,4),(97715,5),(97716,8),(97717,2),(97718,4),(97719,3),(97720,9),(97721,5),(97722,1),(97723,2),(97724,6),(97725,4),(97726,7),(97727,8),(97728,6),(97729,7),(97730,1),(97731,4),(97732,1),(97733,1),(97734,6),(97735,6),(97736,7),(97737,2),(97738,3),(97739,7),(97740,8),(97741,2),(97742,1),(97743,6),(97744,7),(97745,2),(97746,7),(97747,1),(97748,3),(97749,2),(97750,3),(97751,8),(97752,7),(97753,5),(97754,3),(97755,6),(97756,2),(97757,5),(97758,1),(97759,1),(97760,4),(97761,7),(97762,8),(97763,4),(97764,6),(97765,2),(97766,8),(97767,2),(97768,5),(97769,9),(97770,2),(97771,3),(97772,9),(97773,4),(97774,2),(97775,5),(97776,9),(97777,5),(97778,4),(97779,9),(97780,6),(97781,1),(97782,7),(97783,2),(97784,5),(97785,3),(97786,9),(97787,4),(97788,6),(97789,4),(97790,2),(97791,6),(97792,4),(97793,8),(97794,8),(97795,9),(97796,6),(97797,6),(97798,4),(97799,2),(97800,8),(97801,5),(97802,3),(97803,9),(97804,1),(97805,1),(97806,1),(97807,9),(97808,7),(97809,9),(97810,2),(97811,7),(97812,9),(97813,6),(97814,9),(97815,4),(97816,7),(97817,5),(97818,4),(97819,9),(97820,5),(97821,1),(97822,7),(97823,9),(97824,3),(97825,8),(97826,6),(97827,8),(97828,4),(97829,9),(97830,5),(97831,6),(97832,5),(97833,3),(97834,2),(97835,1),(97836,5),(97837,6),(97838,8),(97839,7),(97840,5),(97841,6),(97842,6),(97843,6),(97844,2),(97845,6),(97846,6),(97847,4),(97848,2),(97849,4),(97850,3),(97851,8),(97852,9),(97853,6),(97854,7),(97855,4),(97856,3),(97857,3),(97858,1),(97859,6),(97860,3),(97861,9),(97862,2),(97863,7),(97864,9),(97865,2),(97866,8),(97867,2),(97868,5),(97869,9),(97870,3),(97871,4),(97872,5),(97873,4),(97874,4),(97875,2),(97876,6),(97877,8),(97878,2),(97879,9),(97880,9),(97881,2),(97882,8),(97883,7),(97884,5),(97885,5),(97886,1),(97887,4),(97888,1),(97889,6),(97890,2),(97891,3),(97892,1),(97893,1),(97894,1),(97895,3),(97896,5),(97897,8),(97898,8),(97899,4),(97900,8),(97901,1),(97902,3),(97903,5),(97904,7),(97905,8),(97906,2),(97907,2),(97908,5),(97909,7),(97910,8),(97911,1),(97912,9),(97913,2),(97914,5),(97915,3),(97916,1),(97917,9),(97918,2),(97919,6),(97920,6),(97921,8),(97922,2),(97923,6),(97924,7),(97925,1),(97926,7),(97927,6),(97928,3),(97929,6),(97930,6),(97931,3),(97932,8),(97933,8),(97934,2),(97935,9),(97936,3),(97937,2),(97938,1),(97939,8),(97940,6),(97941,9),(97942,8),(97943,7),(97944,8),(97945,1),(97946,9),(97947,7),(97948,5),(97949,9),(97950,9),(97951,6),(97952,8),(97953,3),(97954,7),(97955,4),(97956,9),(97957,4),(97958,1),(97959,7),(97960,3),(97961,3),(97962,5),(97963,9),(97964,3),(97965,7),(97966,2),(97967,1),(97968,7),(97969,9),(97970,1),(97971,6),(97972,2),(97973,6),(97974,7),(97975,3),(97976,4),(97977,8),(97978,9),(97979,6),(97980,9),(97981,3),(97982,8),(97983,1),(97984,5),(97985,2),(97986,6),(97987,8),(97988,3),(97989,1),(97990,5),(97991,1),(97992,4),(97993,7),(97994,1),(97995,4),(97996,2),(97997,7),(97998,6),(97999,8),(98000,6),(98001,5),(98002,1),(98003,8),(98004,2),(98005,6),(98006,1),(98007,8),(98008,9),(98009,6),(98010,6),(98011,3),(98012,5),(98013,1),(98014,8),(98015,2),(98016,1),(98017,1),(98018,4),(98019,8),(98020,5),(98021,8),(98022,5),(98023,8),(98024,5),(98025,1),(98026,5),(98027,8),(98028,5),(98029,3),(98030,4),(98031,8),(98032,2),(98033,2),(98034,8),(98035,3),(98036,3),(98037,6),(98038,3),(98039,1),(98040,1),(98041,8),(98042,5),(98043,6),(98044,6),(98045,9),(98046,5),(98047,7),(98048,3),(98049,6),(98050,3),(98051,1),(98052,3),(98053,9),(98054,7),(98055,2),(98056,8),(98057,3),(98058,2),(98059,3),(98060,2),(98061,7),(98062,2),(98063,9),(98064,1),(98065,5),(98066,8),(98067,4),(98068,8),(98069,2),(98070,5),(98071,1),(98072,9),(98073,8),(98074,8),(98075,6),(98076,2),(98077,3),(98078,5),(98079,1),(98080,8),(98081,3),(98082,2),(98083,8),(98084,9),(98085,6),(98086,3),(98087,2),(98088,1),(98089,5),(98090,3),(98091,5),(98092,5),(98093,6),(98094,2),(98095,6),(98096,4),(98097,3),(98098,2),(98099,9),(98100,9),(98101,1),(98102,8),(98103,3),(98104,7),(98105,4),(98106,9),(98107,5),(98108,5),(98109,7),(98110,5),(98111,2),(98112,6),(98113,4),(98114,6),(98115,1),(98116,7),(98117,3),(98118,8),(98119,6),(98120,4),(98121,9),(98122,3),(98123,4),(98124,1),(98125,3),(98126,8),(98127,7),(98128,8),(98129,4),(98130,9),(98131,2),(98132,1),(98133,3),(98134,5),(98135,8),(98136,6),(98137,2),(98138,5),(98139,8),(98140,8),(98141,5),(98142,7),(98143,1),(98144,7),(98145,2),(98146,5),(98147,3),(98148,1),(98149,5),(98150,2),(98151,3),(98152,8),(98153,3),(98154,3),(98155,2),(98156,9),(98157,5),(98158,6),(98159,7),(98160,6),(98161,4),(98162,8),(98163,9),(98164,6),(98165,6),(98166,7),(98167,9),(98168,5),(98169,6),(98170,1),(98171,1),(98172,5),(98173,8),(98174,9),(98175,5),(98176,8),(98177,9),(98178,3),(98179,2),(98180,5),(98181,4),(98182,3),(98183,8),(98184,7),(98185,8),(98186,3),(98187,9),(98188,4),(98189,5),(98190,5),(98191,6),(98192,7),(98193,8),(98194,7),(98195,1),(98196,4),(98197,8),(98198,7),(98199,7),(98200,3),(98201,2),(98202,8),(98203,6),(98204,1),(98205,3),(98206,8),(98207,3),(98208,5),(98209,1),(98210,1),(98211,1),(98212,6),(98213,9),(98214,7),(98215,6),(98216,3),(98217,7),(98218,2),(98219,6),(98220,2),(98221,4),(98222,3),(98223,7),(98224,6),(98225,5),(98226,7),(98227,8),(98228,1),(98229,2),(98230,5),(98231,7),(98232,3),(98233,8),(98234,5),(98235,9),(98236,6),(98237,5),(98238,6),(98239,5),(98240,6),(98241,8),(98242,3),(98243,2),(98244,5),(98245,5),(98246,9),(98247,8),(98248,7),(98249,3),(98250,8),(98251,2),(98252,7),(98253,4),(98254,5),(98255,9),(98256,5),(98257,5),(98258,8),(98259,8),(98260,8),(98261,1),(98262,8),(98263,7),(98264,4),(98265,8),(98266,3),(98267,2),(98268,6),(98269,4),(98270,6),(98271,1),(98272,4),(98273,7),(98274,5),(98275,5),(98276,2),(98277,5),(98278,4),(98279,9),(98280,7),(98281,5),(98282,2),(98283,3),(98284,6),(98285,4),(98286,1),(98287,4),(98288,4),(98289,5),(98290,5),(98291,7),(98292,5),(98293,4),(98294,3),(98295,5),(98296,9),(98297,3),(98298,1),(98299,5),(98300,5),(98301,3),(98302,8),(98303,9),(98304,7),(98305,4),(98306,9),(98307,4),(98308,3),(98309,2),(98310,3),(98311,5),(98312,7),(98313,3),(98314,2),(98315,8),(98316,9),(98317,1),(98318,4),(98319,7),(98320,6),(98321,5),(98322,6),(98323,1),(98324,9),(98325,5),(98326,7),(98327,8),(98328,9),(98329,9),(98330,4),(98331,6),(98332,4),(98333,6),(98334,9),(98335,9),(98336,4),(98337,6),(98338,7),(98339,2),(98340,1),(98341,1),(98342,5),(98343,4),(98344,9),(98345,4),(98346,7),(98347,1),(98348,2),(98349,9),(98350,2),(98351,5),(98352,6),(98353,7),(98354,5),(98355,3),(98356,2),(98357,5),(98358,2),(98359,4),(98360,7),(98361,4),(98362,4),(98363,9),(98364,2),(98365,5),(98366,5),(98367,7),(98368,6),(98369,7),(98370,5),(98371,9),(98372,7),(98373,2),(98374,9),(98375,8),(98376,5),(98377,8),(98378,5),(98379,5),(98380,3),(98381,7),(98382,8),(98383,2),(98384,8),(98385,2),(98386,8),(98387,7),(98388,4),(98389,7),(98390,9),(98391,5),(98392,8),(98393,3),(98394,8),(98395,2),(98396,4),(98397,9),(98398,6),(98399,2),(98400,4),(98401,7),(98402,8),(98403,8),(98404,4),(98405,3),(98406,6),(98407,4),(98408,2),(98409,5),(98410,9),(98411,4),(98412,8),(98413,6),(98414,4),(98415,2),(98416,9),(98417,7),(98418,3),(98419,7),(98420,2),(98421,6),(98422,2),(98423,5),(98424,1),(98425,7),(98426,8),(98427,2),(98428,2),(98429,4),(98430,8),(98431,6),(98432,9),(98433,2),(98434,6),(98435,7),(98436,1),(98437,3),(98438,5),(98439,1),(98440,1),(98441,5),(98442,3),(98443,1),(98444,9),(98445,2),(98446,2),(98447,1),(98448,7),(98449,9),(98450,5),(98451,3),(98452,2),(98453,7),(98454,7),(98455,5),(98456,7),(98457,9),(98458,1),(98459,5),(98460,1),(98461,5),(98462,4),(98463,3),(98464,9),(98465,2),(98466,7),(98467,4),(98468,4),(98469,1),(98470,8),(98471,4),(98472,6),(98473,1),(98474,3),(98475,7),(98476,9),(98477,9),(98478,4),(98479,6),(98480,9),(98481,6),(98482,4),(98483,2),(98484,8),(98485,8),(98486,1),(98487,8),(98488,1),(98489,5),(98490,9),(98491,1),(98492,4),(98493,1),(98494,9),(98495,2),(98496,8),(98497,7),(98498,1),(98499,9),(98500,9),(98501,1),(98502,3),(98503,3),(98504,7),(98505,4),(98506,1),(98507,2),(98508,1),(98509,7),(98510,8),(98511,9),(98512,2),(98513,2),(98514,7),(98515,6),(98516,9),(98517,1),(98518,8),(98519,6),(98520,2),(98521,9),(98522,8),(98523,7),(98524,2),(98525,2),(98526,6),(98527,4),(98528,9),(98529,4),(98530,6),(98531,3),(98532,2),(98533,6),(98534,4),(98535,3),(98536,9),(98537,7),(98538,4),(98539,5),(98540,7),(98541,3),(98542,1),(98543,4),(98544,2),(98545,2),(98546,5),(98547,9),(98548,6),(98549,8),(98550,3),(98551,8),(98552,6),(98553,9),(98554,7),(98555,5),(98556,4),(98557,3),(98558,8),(98559,1),(98560,5),(98561,8),(98562,5),(98563,7),(98564,1),(98565,6),(98566,3),(98567,6),(98568,1),(98569,5),(98570,6),(98571,6),(98572,9),(98573,1),(98574,4),(98575,8),(98576,6),(98577,6),(98578,5),(98579,8),(98580,7),(98581,6),(98582,4),(98583,4),(98584,9),(98585,7),(98586,6),(98587,6),(98588,2),(98589,8),(98590,5),(98591,1),(98592,5),(98593,5),(98594,8),(98595,9),(98596,1),(98597,2),(98598,9),(98599,3),(98600,6),(98601,5),(98602,3),(98603,2),(98604,3),(98605,1),(98606,1),(98607,3),(98608,4),(98609,2),(98610,8),(98611,2),(98612,2),(98613,3),(98614,4),(98615,1),(98616,3),(98617,6),(98618,8),(98619,2),(98620,5),(98621,4),(98622,8),(98623,6),(98624,3),(98625,7),(98626,2),(98627,4),(98628,5),(98629,7),(98630,5),(98631,8),(98632,9),(98633,4),(98634,1),(98635,3),(98636,4),(98637,8),(98638,9),(98639,1),(98640,2),(98641,1),(98642,9),(98643,5),(98644,4),(98645,8),(98646,2),(98647,2),(98648,5),(98649,7),(98650,6),(98651,3),(98652,4),(98653,1),(98654,4),(98655,1),(98656,9),(98657,9),(98658,8),(98659,8),(98660,2),(98661,3),(98662,5),(98663,6),(98664,9),(98665,8),(98666,3),(98667,6),(98668,7),(98669,6),(98670,4),(98671,3),(98672,2),(98673,7),(98674,1),(98675,8),(98676,9),(98677,8),(98678,3),(98679,1),(98680,8),(98681,9),(98682,4),(98683,4),(98684,4),(98685,3),(98686,1),(98687,1),(98688,6),(98689,6),(98690,8),(98691,8),(98692,9),(98693,1),(98694,8),(98695,3),(98696,8),(98697,4),(98698,4),(98699,6),(98700,9),(98701,3),(98702,8),(98703,5),(98704,2),(98705,2),(98706,8),(98707,7),(98708,3),(98709,5),(98710,7),(98711,6),(98712,5),(98713,2),(98714,4),(98715,1),(98716,7),(98717,5),(98718,3),(98719,7),(98720,3),(98721,4),(98722,1),(98723,4),(98724,4),(98725,6),(98726,6),(98727,2),(98728,1),(98729,2),(98730,4),(98731,9),(98732,6),(98733,5),(98734,2),(98735,3),(98736,7),(98737,7),(98738,7),(98739,6),(98740,4),(98741,7),(98742,6),(98743,3),(98744,2),(98745,1),(98746,2),(98747,3),(98748,5),(98749,2),(98750,3),(98751,7),(98752,7),(98753,8),(98754,4),(98755,3),(98756,2),(98757,3),(98758,8),(98759,4),(98760,1),(98761,1),(98762,9),(98763,6),(98764,2),(98765,3),(98766,6),(98767,7),(98768,4),(98769,6),(98770,4),(98771,9),(98772,7),(98773,3),(98774,3),(98775,3),(98776,4),(98777,6),(98778,8),(98779,1),(98780,7),(98781,8),(98782,9),(98783,2),(98784,7),(98785,3),(98786,4),(98787,2),(98788,4),(98789,5),(98790,2),(98791,8),(98792,8),(98793,8),(98794,9),(98795,9),(98796,3),(98797,8),(98798,6),(98799,1),(98800,1),(98801,9),(98802,7),(98803,2),(98804,8),(98805,7),(98806,3),(98807,6),(98808,5),(98809,7),(98810,2),(98811,8),(98812,1),(98813,2),(98814,7),(98815,5),(98816,8),(98817,8),(98818,2),(98819,3),(98820,4),(98821,2),(98822,8),(98823,5),(98824,4),(98825,8),(98826,3),(98827,9),(98828,1),(98829,8),(98830,6),(98831,7),(98832,4),(98833,8),(98834,5),(98835,2),(98836,9),(98837,5),(98838,9),(98839,7),(98840,3),(98841,5),(98842,2),(98843,1),(98844,3),(98845,8),(98846,8),(98847,2),(98848,4),(98849,8),(98850,5),(98851,8),(98852,9),(98853,2),(98854,6),(98855,9),(98856,8),(98857,9),(98858,4),(98859,1),(98860,4),(98861,2),(98862,7),(98863,9),(98864,5),(98865,2),(98866,6),(98867,6),(98868,2),(98869,6),(98870,4),(98871,8),(98872,6),(98873,7),(98874,1),(98875,5),(98876,3),(98877,4),(98878,2),(98879,9),(98880,7),(98881,8),(98882,5),(98883,8),(98884,5),(98885,9),(98886,4),(98887,9),(98888,1),(98889,5),(98890,9),(98891,7),(98892,3),(98893,6),(98894,5),(98895,6),(98896,4),(98897,7),(98898,3),(98899,4),(98900,1),(98901,3),(98902,9),(98903,8),(98904,4),(98905,4),(98906,2),(98907,4),(98908,2),(98909,1),(98910,3),(98911,9),(98912,4),(98913,9),(98914,7),(98915,9),(98916,7),(98917,1),(98918,4),(98919,5),(98920,7),(98921,2),(98922,9),(98923,1),(98924,3),(98925,3),(98926,1),(98927,4),(98928,5),(98929,1),(98930,4),(98931,3),(98932,4),(98933,4),(98934,7),(98935,4),(98936,7),(98937,2),(98938,7),(98939,5),(98940,4),(98941,2),(98942,3),(98943,4),(98944,1),(98945,7),(98946,4),(98947,6),(98948,5),(98949,3),(98950,7),(98951,9),(98952,2),(98953,9),(98954,9),(98955,1),(98956,8),(98957,9),(98958,3),(98959,2),(98960,9),(98961,6),(98962,4),(98963,2),(98964,3),(98965,2),(98966,1),(98967,5),(98968,6),(98969,5),(98970,4),(98971,9),(98972,4),(98973,2),(98974,7),(98975,5),(98976,5),(98977,1),(98978,2),(98979,8),(98980,5),(98981,7),(98982,6),(98983,9),(98984,4),(98985,9),(98986,8),(98987,8),(98988,1),(98989,5),(98990,8),(98991,2),(98992,9),(98993,9),(98994,9),(98995,8),(98996,7),(98997,5),(98998,7),(98999,8),(99000,2),(99001,9),(99002,7),(99003,8),(99004,5),(99005,1),(99006,2),(99007,2),(99008,4),(99009,2),(99010,5),(99011,2),(99012,6),(99013,5),(99014,9),(99015,6),(99016,2),(99017,3),(99018,3),(99019,7),(99020,5),(99021,9),(99022,8),(99023,2),(99024,7),(99025,8),(99026,1),(99027,8),(99028,9),(99029,3),(99030,2),(99031,5),(99032,3),(99033,5),(99034,6),(99035,1),(99036,6),(99037,5),(99038,1),(99039,6),(99040,3),(99041,8),(99042,6),(99043,3),(99044,5),(99045,8),(99046,2),(99047,9),(99048,1),(99049,4),(99050,6),(99051,4),(99052,5),(99053,9),(99054,7),(99055,1),(99056,5),(99057,3),(99058,6),(99059,9),(99060,5),(99061,4),(99062,8),(99063,1),(99064,7),(99065,6),(99066,9),(99067,6),(99068,7),(99069,6),(99070,4),(99071,6),(99072,5),(99073,1),(99074,1),(99075,8),(99076,5),(99077,7),(99078,5),(99079,2),(99080,3),(99081,9),(99082,3),(99083,5),(99084,2),(99085,8),(99086,3),(99087,2),(99088,7),(99089,8),(99090,8),(99091,7),(99092,7),(99093,9),(99094,6),(99095,7),(99096,9),(99097,3),(99098,1),(99099,7),(99100,8),(99101,5),(99102,3),(99103,6),(99104,1),(99105,6),(99106,7),(99107,7),(99108,3),(99109,5),(99110,3),(99111,6),(99112,2),(99113,5),(99114,5),(99115,7),(99116,7),(99117,3),(99118,2),(99119,9),(99120,5),(99121,2),(99122,9),(99123,8),(99124,6),(99125,5),(99126,1),(99127,6),(99128,3),(99129,8),(99130,6),(99131,3),(99132,4),(99133,6),(99134,8),(99135,3),(99136,1),(99137,5),(99138,7),(99139,8),(99140,8),(99141,9),(99142,8),(99143,2),(99144,1),(99145,1),(99146,3),(99147,4),(99148,4),(99149,2),(99150,6),(99151,3),(99152,4),(99153,7),(99154,7),(99155,7),(99156,1),(99157,9),(99158,8),(99159,2),(99160,1),(99161,6),(99162,6),(99163,9),(99164,8),(99165,8),(99166,4),(99167,1),(99168,5),(99169,7),(99170,9),(99171,6),(99172,8),(99173,8),(99174,9),(99175,4),(99176,8),(99177,6),(99178,5),(99179,3),(99180,9),(99181,8),(99182,1),(99183,7),(99184,3),(99185,8),(99186,5),(99187,4),(99188,3),(99189,8),(99190,6),(99191,4),(99192,1),(99193,4),(99194,4),(99195,4),(99196,8),(99197,2),(99198,4),(99199,6),(99200,8),(99201,6),(99202,7),(99203,2),(99204,1),(99205,7),(99206,1),(99207,8),(99208,4),(99209,1),(99210,7),(99211,4),(99212,2),(99213,8),(99214,3),(99215,6),(99216,3),(99217,5),(99218,2),(99219,6),(99220,8),(99221,9),(99222,1),(99223,8),(99224,5),(99225,7),(99226,9),(99227,3),(99228,6),(99229,4),(99230,8),(99231,5),(99232,4),(99233,9),(99234,3),(99235,7),(99236,9),(99237,2),(99238,8),(99239,1),(99240,9),(99241,9),(99242,8),(99243,6),(99244,6),(99245,9),(99246,4),(99247,3),(99248,6),(99249,3),(99250,4),(99251,3),(99252,4),(99253,1),(99254,7),(99255,2),(99256,8),(99257,5),(99258,3),(99259,8),(99260,9),(99261,5),(99262,6),(99263,9),(99264,6),(99265,7),(99266,1),(99267,4),(99268,5),(99269,2),(99270,7),(99271,7),(99272,5),(99273,3),(99274,4),(99275,2),(99276,7),(99277,7),(99278,6),(99279,7),(99280,5),(99281,5),(99282,3),(99283,4),(99284,8),(99285,6),(99286,8),(99287,4),(99288,4),(99289,1),(99290,8),(99291,1),(99292,1),(99293,6),(99294,9),(99295,5),(99296,7),(99297,3),(99298,2),(99299,7),(99300,2),(99301,6),(99302,2),(99303,4),(99304,9),(99305,9),(99306,4),(99307,2),(99308,8),(99309,7),(99310,4),(99311,9),(99312,9),(99313,8),(99314,4),(99315,7),(99316,1),(99317,3),(99318,1),(99319,7),(99320,8),(99321,3),(99322,7),(99323,6),(99324,6),(99325,4),(99326,9),(99327,2),(99328,8),(99329,1),(99330,1),(99331,2),(99332,3),(99333,4),(99334,7),(99335,4),(99336,2),(99337,2),(99338,1),(99339,7),(99340,7),(99341,3),(99342,2),(99343,2),(99344,5),(99345,6),(99346,8),(99347,6),(99348,3),(99349,2),(99350,1),(99351,5),(99352,9),(99353,7),(99354,1),(99355,8),(99356,9),(99357,2),(99358,8),(99359,7),(99360,8),(99361,8),(99362,7),(99363,5),(99364,5),(99365,7),(99366,7),(99367,6),(99368,1),(99369,3),(99370,4),(99371,7),(99372,2),(99373,6),(99374,4),(99375,3),(99376,6),(99377,4),(99378,3),(99379,8),(99380,3),(99381,4),(99382,5),(99383,6),(99384,3),(99385,3),(99386,4),(99387,1),(99388,5),(99389,6),(99390,3),(99391,6),(99392,5),(99393,4),(99394,9),(99395,7),(99396,5),(99397,2),(99398,1),(99399,7),(99400,5),(99401,3),(99402,9),(99403,6),(99404,3),(99405,4),(99406,2),(99407,4),(99408,3),(99409,2),(99410,3),(99411,1),(99412,7),(99413,3),(99414,3),(99415,7),(99416,6),(99417,3),(99418,6),(99419,8),(99420,5),(99421,4),(99422,7),(99423,6),(99424,1),(99425,8),(99426,1),(99427,5),(99428,9),(99429,6),(99430,9),(99431,7),(99432,8),(99433,9),(99434,5),(99435,9),(99436,2),(99437,2),(99438,1),(99439,6),(99440,2),(99441,6),(99442,1),(99443,3),(99444,5),(99445,6),(99446,1),(99447,8),(99448,7),(99449,9),(99450,3),(99451,1),(99452,8),(99453,3),(99454,9),(99455,8),(99456,1),(99457,7),(99458,9),(99459,5),(99460,7),(99461,6),(99462,8),(99463,9),(99464,5),(99465,1),(99466,3),(99467,4),(99468,3),(99469,2),(99470,2),(99471,6),(99472,1),(99473,7),(99474,9),(99475,2),(99476,3),(99477,6),(99478,4),(99479,7),(99480,3),(99481,6),(99482,7),(99483,7),(99484,1),(99485,5),(99486,8),(99487,7),(99488,3),(99489,4),(99490,4),(99491,1),(99492,1),(99493,4),(99494,8),(99495,3),(99496,6),(99497,9),(99498,5),(99499,1),(99500,8),(99501,6),(99502,1),(99503,3),(99504,7),(99505,1),(99506,5),(99507,3),(99508,4),(99509,9),(99510,8),(99511,8),(99512,1),(99513,8),(99514,4),(99515,5),(99516,7),(99517,6),(99518,8),(99519,7),(99520,1),(99521,9),(99522,6),(99523,9),(99524,8),(99525,2),(99526,8),(99527,3),(99528,4),(99529,3),(99530,2),(99531,5),(99532,1),(99533,8),(99534,8),(99535,4),(99536,2),(99537,6),(99538,9),(99539,8),(99540,4),(99541,6),(99542,5),(99543,5),(99544,4),(99545,9),(99546,8),(99547,9),(99548,7),(99549,8),(99550,4),(99551,3),(99552,3),(99553,9),(99554,2),(99555,4),(99556,7),(99557,4),(99558,3),(99559,2),(99560,2),(99561,5),(99562,5),(99563,6),(99564,9),(99565,4),(99566,2),(99567,3),(99568,3),(99569,2),(99570,8),(99571,6),(99572,3),(99573,9),(99574,1),(99575,6),(99576,2),(99577,1),(99578,7),(99579,2),(99580,4),(99581,8),(99582,5),(99583,1),(99584,8),(99585,7),(99586,6),(99587,6),(99588,7),(99589,3),(99590,8),(99591,1),(99592,3),(99593,1),(99594,4),(99595,1),(99596,3),(99597,3),(99598,4),(99599,5),(99600,4),(99601,6),(99602,9),(99603,5),(99604,4),(99605,1),(99606,1),(99607,8),(99608,2),(99609,8),(99610,5),(99611,8),(99612,5),(99613,6),(99614,7),(99615,8),(99616,3),(99617,6),(99618,2),(99619,4),(99620,1),(99621,1),(99622,4),(99623,4),(99624,3),(99625,8),(99626,6),(99627,9),(99628,5),(99629,7),(99630,6),(99631,2),(99632,6),(99633,3),(99634,9),(99635,7),(99636,2),(99637,5),(99638,6),(99639,2),(99640,9),(99641,2),(99642,2),(99643,8),(99644,1),(99645,4),(99646,7),(99647,7),(99648,7),(99649,9),(99650,6),(99651,4),(99652,9),(99653,5),(99654,5),(99655,2),(99656,2),(99657,9),(99658,1),(99659,4),(99660,1),(99661,5),(99662,7),(99663,1),(99664,8),(99665,8),(99666,4),(99667,7),(99668,5),(99669,7),(99670,4),(99671,2),(99672,5),(99673,6),(99674,9),(99675,7),(99676,9),(99677,2),(99678,4),(99679,8),(99680,3),(99681,8),(99682,8),(99683,1),(99684,1),(99685,7),(99686,2),(99687,7),(99688,4),(99689,4),(99690,5),(99691,9),(99692,6),(99693,8),(99694,6),(99695,6),(99696,5),(99697,9),(99698,2),(99699,4),(99700,5),(99701,8),(99702,4),(99703,5),(99704,1),(99705,6),(99706,7),(99707,6),(99708,5),(99709,4),(99710,5),(99711,1),(99712,3),(99713,7),(99714,5),(99715,7),(99716,4),(99717,9),(99718,7),(99719,5),(99720,2),(99721,4),(99722,8),(99723,8),(99724,6),(99725,4),(99726,5),(99727,9),(99728,9),(99729,2),(99730,1),(99731,4),(99732,1),(99733,5),(99734,9),(99735,4),(99736,9),(99737,7),(99738,2),(99739,9),(99740,7),(99741,4),(99742,4),(99743,1),(99744,8),(99745,2),(99746,8),(99747,3),(99748,3),(99749,6),(99750,3),(99751,2),(99752,4),(99753,1),(99754,8),(99755,8),(99756,2),(99757,7),(99758,5),(99759,6),(99760,5),(99761,6),(99762,2),(99763,1),(99764,5),(99765,8),(99766,4),(99767,8),(99768,7),(99769,3),(99770,1),(99771,6),(99772,1),(99773,4),(99774,1),(99775,5),(99776,7),(99777,9),(99778,2),(99779,2),(99780,1),(99781,2),(99782,8),(99783,6),(99784,3),(99785,8),(99786,2),(99787,6),(99788,1),(99789,5),(99790,7),(99791,8),(99792,1),(99793,5),(99794,6),(99795,2),(99796,4),(99797,8),(99798,8),(99799,2),(99800,6),(99801,6),(99802,4),(99803,8),(99804,2),(99805,6),(99806,7),(99807,2),(99808,1),(99809,7),(99810,7),(99811,6),(99812,8),(99813,3),(99814,3),(99815,7),(99816,1),(99817,7),(99818,6),(99819,3),(99820,1),(99821,1),(99822,3),(99823,1),(99824,6),(99825,8),(99826,8),(99827,5),(99828,5),(99829,6),(99830,1),(99831,6),(99832,9),(99833,1),(99834,3),(99835,6),(99836,1),(99837,6),(99838,7),(99839,9),(99840,9),(99841,2),(99842,4),(99843,2),(99844,9),(99845,8),(99846,9),(99847,1),(99848,9),(99849,6),(99850,7),(99851,1),(99852,7),(99853,3),(99854,1),(99855,4),(99856,6),(99857,5),(99858,5),(99859,1),(99860,5),(99861,1),(99862,1),(99863,8),(99864,5),(99865,1),(99866,9),(99867,3),(99868,4),(99869,5),(99870,8),(99871,6),(99872,6),(99873,7),(99874,6),(99875,5),(99876,6),(99877,7),(99878,1),(99879,8),(99880,4),(99881,6),(99882,2),(99883,1),(99884,9),(99885,6),(99886,8),(99887,9),(99888,8),(99889,6),(99890,9),(99891,4),(99892,8),(99893,4),(99894,6),(99895,3),(99896,6),(99897,9),(99898,9),(99899,8),(99900,6),(99901,6),(99902,8),(99903,3),(99904,8),(99905,9),(99906,5),(99907,7),(99908,3),(99909,2),(99910,1),(99911,9),(99912,2),(99913,9),(99914,8),(99915,3),(99916,1),(99917,5),(99918,5),(99919,2),(99920,8),(99921,7),(99922,6),(99923,1),(99924,6),(99925,7),(99926,2),(99927,8),(99928,2),(99929,6),(99930,1),(99931,9),(99932,2),(99933,1),(99934,8),(99935,3),(99936,4),(99937,1),(99938,4),(99939,1),(99940,1),(99941,7),(99942,9),(99943,8),(99944,6),(99945,6),(99946,9),(99947,5),(99948,6),(99949,8),(99950,8),(99951,9),(99952,5),(99953,2),(99954,6),(99955,5),(99956,7),(99957,3),(99958,1),(99959,7),(99960,4),(99961,2),(99962,6),(99963,9),(99964,5),(99965,5),(99966,1),(99967,4),(99968,5),(99969,3),(99970,1),(99971,2),(99972,7),(99973,3),(99974,6),(99975,9),(99976,3),(99977,4),(99978,1),(99979,8),(99980,4),(99981,3),(99982,3),(99983,4),(99984,5),(99985,8),(99986,2),(99987,5),(99988,3),(99989,2),(99990,9),(99991,9),(99992,1),(99993,6),(99994,1),(99995,9),(99996,3),(99997,5),(99998,6),(99999,9)]
[1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,999999937]
[1,11,111,1111,11111,111111,1111111,11111111,111111111,111111104,111111034]
[550785567,805864124,731371968,523922641,603176609,211091003,971772448,546740589,193237401,447887085,173352059,945898639,23154060,630887307,591737631,388592662,75978163,821716718,166290563,300747895,714193092,655532221,949612236,478481234,25978131,826827827,567912798,852021335,880432566,583277460,353599678,931009204,192523151,56404545,220092683,609461473,378398086,755289109,892951801,306453956,745163075,62622982,630258979,945922599,566489143,218547644,783771986,240479293,87998793,91238443,276439408,643729494,368158371,117599963,262531182,276894890,877037126,124109954,519403341,164793686,687942815,626358633,81209270,536784927,583248390,696953710,798913972,115007287,605589559,644377152,645549570,218603396,105274650,187600495,632420272,942774146,432528474,568693352,54204275,821699762,987893201,198951436,564446230,844885385,811826039,997487495,105727527,313290460,401436031,784143363,961341820,268338889,391810880,31880904,73116182,449522463,909990600,84312467,184495249,422019469,720831295,701306498,305294223,825095074,171095900,245903442,55458779,957160161,654788715,499135755,229412312,560858518,378188615,101776402,392682974,7251539,323487505,102902170,58754338,433446574,461985963,675541558,303913661,436916335,951871231,219912966,812179653,426031407,733667469,626939916,141355575,643681321,402755656,967080718,307689463,583512778,528719490,99483969,118998525,945331063,871775082,602527145,56678977,212860455,936141541,285098977,186288045,439340200,593977880,902766286,66891480,115767595,945291159,74602976,351128833,914728150,230555352,156810827,596163926,407374718,461250635,94186597,732963927,551678949,481923358,258676869,773642940,898046709,939558700,934426038,441074158,463352867,481719703,844946039,695165170,519152069,191200627,654904189,66261568,957267585,445070907,780878487,684731695,977841527,434397597,652504114,298823844,508546628,780427001,416695964,571132146,894668610,807950692,8563259,921468166,841195089,217532112,98809164,923370376,770161505,698190712,24494573,992134416,538992893,894623709,139636440,858634268,475499541,986841006,34524484,504786221,106746244,716280775,970619471,129905750,684358537,25045357,811529508,114332548,286159157,18804849,546699753,945792555,848734926,169360076,404731769,561360698,207941176,81775100,960917267,866419166,332846188,438257249,736481934,143140167,952163685,316642918,188859703,33770002,895147253,450147124,794268610,914895721,489108047,268025458,160878995,199782314,999852301,941655794,653801094,804665152,216246821,422357664,192495489,164776696,14679061,26411751,295009555,796114670,88678489,742468004,553178234,987562063,864128473,183065392,727761915,10259830,718792308,192472362,968108477,828353125,241187966,150575252,22552001,120129889,833689806,843067030,24217074,544455356,17711914,777364914,976603600,429261316,901865605,522511168,318427094,836532399,773480015,818545640,836760833,75668651,970422480,68528260,64642879,227294746,773963976,132671290,908945986,590613040,399175616,983990595,382059260,217737843,260022874,551423102,52280350,319538366,717987060,275060824,203057180,118746613,439213538,260240023,632140614,267310068,10620989,482891856,409516656,196156276,114591652,704149338,940246550,135270687,668917321,663724144,177626423,573232655,454953287,264725448,161703654,511411382,746481205,870978676,593333301,164617560,412233981,41875551,53639015,342808430,751656040,591847458,168933181,157307594,562803443,969937079,876490927,125551160,734505722,35886512,370877985,552911045,56453464,160198873,4485073,328030298,251550846,755563167,622567024,675293672,940828957,70008663,209188473,485724834,839562254,136783807,784884129,433475775,436151107,214580310,74039943,976153048,728035709,19937499,116262966,697248385,768875610,411325160,728438418,888832750,591702234,230289710,77153756,91893153,293897016,419396622,684938774,641414885,636281459,427957744,829021666,488090961,143626943,405471090,294560971,612524634,34867722,482569294,982012051,478682289,495608975,369898260,583293363,964294605,999012021,168656675,547350326,902511517,810945872,30971670,844797935,344417347,876747188,453659126,248139891,95483690,59175304,645116812,199434384,512100391,15709461,689495103,391120964,403756544,829750041,19648745,211632220,460766596,985040306,31070359,971700262,526032153,784154389,36857055,431031803,759494061,282788095,939595621,250057545,428915506,624918972,625696005,537540573,246393681,993965529,435588027,648403455,956216763,452315722,355101937,377143753,896979881,725282920,771307502,807852737,630935025,407520910,827956078,897765359,882403927,257444180,60712210,698679074,138876320,46901684,477760620,121410476,291415115,664812101,466116994,185899442,154397292,116443129,664608239,239029971,792524392,508396268,285207817,615132602,670561357,400466994,517085193,265023354,302580600,133970618,993452572,642830225,342062595,654931900,615679486,106360801,501494535,801663904,738240778,597497842,39417320,143547023,853337539,118091993,782321524,926285282,316089697,509150576,369261020,563315638,263156819,737498155,28504427,793326497,227023069,142536421,255524707,681193038,567454865,893031000,795088112,880288818,38758824,654105243,10634015,296228245,824201175,871133503,417177083,785284948,457130773,274665765,159923369,983490190,116257413,633639615,126432586,186259431,797717591,913618120,772755298,834140278,594991391,218202667,851785471,427760465,311525134,861573306,933295135,407637431,226772828,825698055,955707408,769876640,162976540,219116340,393028413,193400537,803246936,462323395,709149262,443014038,708222431,752962404,39627732,390207625,744399189,771154070,387186802,882362545,367604776,373375606,946418758,128383717,593186716,405732007,747636466,688326185,47387890,133221437,541078549,974601808,245329579,146156861,273784641,661997930,755324343,409707819,25654536,392332929,579837954,606960303,993391005,269218714,868647931,547055264,799540139,171230019,572812981,657110985,906937862,245891294,719494132,763929326,539121946,224132228,667543480,860986811,71353186,402610302,737940772,793521382,19555066,946914726,87213531,976871875,622122273,749492981,990686724,399372800,385908468,441232636,613471062,497754984,556784180,468695132,919966561,865897009,468523109,509116299,316481411,730275869,702234752,105225013,803467813,452729776,312032831,741731734,322387565,357312588,229399483,402552110,179306733,851375820,762518926,392995218,149662685,961527830,904698268,118854551,338662628,244567901,174403089,159833219,82842344,819804387,440111841,668255117,552194731,951841569,704334988,104871698,297799092,645829046,768004165,953942908,809749080,567452684,64452925,926451795,135640071,486442853,220362643,182149761,662279867,749806786,453698557,75478544,451564669,128254513,286735839,410707375,704338557,946041941,893614922,822398651,455541335,621498741,864525845,953142174,905139988,131701579,67975888,497784820,302580692,301210084,882571074,755687639,392803966,754562331,271205459,627542726,609905966,75437423,594941940,276406062,939689208,157384806,192827260,133100439,794417102,633442171,646278721,936902807,59369499,305659068,970717004,641512541,551489556,471461874,353205275,938841319,772021919,501509949,936158473,396620499,712638481,843958048,754267685,617075458,421124336,179210242,131829030,495192887,112549026,184482203,193651144,914324276,583953915,826540167,7031648,187409415,728733366,715727467,743043941,831946226,202542820,556666182,162715512,829690418,160087584,930124112,977095820,281473540,208716853,269496595,356128672,70332900,697163551,13948847,686649743,364143442,734128936,593488697,503036801,530112896,394033348,392553828,513690224,938647338,909577764,391017954,182633482,196510136,345048812,31412773,415150129,804533437,953567468,769427864,960583848,875398875,723874670,778665183,583573563,558357702,798769128,452140372,510778537,949652756,623644170,692083259,9326632,145045660,798564460,263385263,304556616,355566472,29594659,586269519,534657376,356699878,10941301,796737200,379034296,574439103,865730543,612369259,962128873,548062229,216229540,978786051,712439443,659782215,794290823,805484982,84037375,886222442,609739162,15072988,485427954,30679244,967362349,382610346,439932059,703633357,909694737,727213363,878090121,184426734,127549817,346756343,817619160,254127050,91993964,817941918,112149282,57695759,113507812,831663071,329219080,836379556,661144314,984107912,21275463,673704205,626066895,492501329,991126435,360805531,695939345,511111741,509219142,374931494,420518858,815238881,856323722,576560591,9868143,966037594,890041425,866310679,502626312,953144980,467067856,307170272,378281806,56405875,34347461,333433412,76259908,379721589,401858048,621974605,723015357,923410391,646359467,847750123,358846653,219530985,701346218,806995705,292240283,587561073,85056446,814438966,683706989,733931516,271931208,955503608,321585100,635435821,139246581,813884578,23917531,470612423,172197840,611515687,247040489,526523173,513773457,905518647,874894754,73848244,13902442,809496356,704940632,53333914,976661838,753880517,880461274,281708226,507721729,489211137,676240659,983749412,2558268,985019039,589063891,7456156,29173219,930123291,408001888,133625687,184547476,273233741,618043225,811932726,125407186,997609787,193381525,798473545,714131160,757181062,676327453,516656105,384829109,13047803,189883635,747706833,804885263,824564208,466143119,526411201,893539914,641271806,126235219,276633834,810696422,654329908,740965544,972351976,622719285,160042697,236641880,572970210,893287139,92159766,580456432,513380091,647612390,370434939,736710408,13270063,840247169,116156216,875860547,972965185,794017695,889543422,933300747,779723999,584841529,770105344,336152328,567963085,243204725,731334560,486204215,22257913,181530640,154131470,718127133,541882458,697815595,348984939,469862203,839553217,252555165,554183872,87631836,873827606,280956856,506766560,180315298,257347873,861828139,90046203,490568445,707624993,99373869,938981019,27264288,279318227,36779716,635086839,20527244,715168264,345602105,618342912,642591200,214758099,169395521,539066587,518106905,536743055,745927852,740058137,971589222,815922878,212161727,569840490,886157120,723276299,61863386,444473834,570252241,358003696,588515002,328927718,676584866,47509314,946189144,651930909,281242930,531552603,530368259,468096713,640338448,942251507,119331642,5928006,483471153,320060538,692070197,912778342,269920930,156352970,652173993,873534251,213451817,525259026,634594245,727072743,151770344,948737663,873409923,315632437,557407609,957114314,252376831,634821603,602251251,490845928,298222524,664131482,152435331,918395292,866286991,874033199,604378198,173116496,687028339,408799614,584777673,940384782,656038498,628533943,135084218,678746589,363186217,232364114,126621252,789440460,189657271,169027901,560454453,934491973,320844345,148965827,426640433,603032452,406917226,49761437,338603220,713060997,106242733,802920540,346184598,636473816,625130836,220277520,942602042,42932970,833950895,222900943,860278556,8842344,371959057,990874043,78798641,847922169,128145138,389273655,646448686,682787966,792639663,765802515,784895626,704573193,774223515,958014196,444649736,75878044,464648440,960001105,74292587,33283956,804805303,538179482,373737366,779497828,442120578,628849919,552193497,191234298,322202836,605944259,440764073,288702784,618063963,396673134,531264601,12029232,333160578,295822515,497576739,372632449,908940910,150600612,355055200,778386820,849581566,345316875,481048787,756205778,99559452,992274623,365344104,840630745,967956301,978657770,259417046,184384315,445794458,261069613,633938553,584639664,413851950,938194943,504846845,3688093,975332835,690103407,237641466,253005320,660642185,262410636,532635159,760134370,487651862,908079344,826879388,386332356,618007321,898471482,199484520,459252096,981891556,782484,168941471,748456297,633397012,391783418,266545419,943255235,103262321,142624138,280171396,230036875,886130964,862815737,71237856,399616543,407819134,862286621,344205613,57119983,675636149,409735008,405617341,729930046,509606009,60020545,939531432,172176784,942384018,288831665,817745721,13329992,59817134,733752993,794017980,628758489,199372652,127835218,34692973,665493743,129723716,187645716,308427936,470406351,485606112,177145281,346491150,665345246,916425727,833484473,944697335,550888484,762206257,390324595,23002061,884926159,557682017,990592117,690228234,123642936,101495347,144389994,499773517,146252425,820305905,981767096,638471636,9726320,802694136,640414332,408420511,527562739,562893053,600586995,345965491,936594381,156567625,487668561,811814744,854590236,362476518,749352512,948913740,177606132,587838122,502488794,630228601,905749972,260775989,371017438,429430044,109155910,15974573,495117211,27639154,926968183,777669365,770422291,46525656,242416769,44813625,53130773,934737116,930643970,807696858,170024177,152477255,212926021,41005474,344159198,377932335,315887294,955459252,77181017,66998952,342438327,634558062,809527993,984604552,877907855,725194664,589488141,271565456,696252885,603518570,742214570,235778471,682077911,696138319,991849004,464466490,42192450,304607188,977270065,408750335,994038234,773965697,65945189,535010647,580592243,771900906,758536793,332250588,540124062,865932339,848722441,749094197,960058839,590429949,646213546,479256758,137209612,649490252,165571820,365715056,71080152,95124408,832606299,957129091,877327395,746807479,308358029,10538528,741011041,516602868,419607828,664366104,433419712,456102895,16149429,349936273,961136841,400475689,726597532,681089271,195333994,434713993,638207241,54109030,251223895,326182225,886146493,66827225,631738416,856660669,663464220,187257844,370769929,200448346,196688286,329033263,569477583,865620224,316216555,171096897,654792030,785232497,518986073,899456746,108456933,638888211,387243887,515204959,459256099,766211548,222410417,723063589,723461718,526829651,640447660,284621606,777160481,607629134,502823669,113819823,89686470,134943450,616172301,131326679,353157085,278489788,402519690,129888986,452288996,981159780,800354652,845352092,480631357,251954518,7039191,862071249,342810296,143242654,246870434,493078647,976153805,209004650,477723086,158928418,70383859,194878486,440818770,600320996,165353182,812676071,85605010,394864463,345455972,837170769,752898674,910035728,381392053,384953920,849572451,238657710,903800346,432655656,8951686,200686307,260909933,877433936,144102692,320933182,840252361,208545539,908987511,15158190,587040148,856877200,410349449,930582149,631460128,390095039,951429680,562274599,370473670,522439380,249093966,536339597,410865861,656335509,861052673,483226366,562463530,540585185,740376740,280149773,532065887,336645583,310984414,947226916,798937309,764969791,970187469,676853518,808962958,436602239,243649563,467188267,717881838,726348185,461164718,874345376,912653458,286384424,122759142,696412839,553940418,841315285,786273841,142980391,700758039,577605689,775989320,602816327,555385480,349506919,617564316,430822565,576673499,36509668,735004085,229961471,630536696,681389051,294422608,235209206,624120293,511335645,383299623,802920460,69126900,238191163,779533766,178029752,761496658,456016375,687198638,427619757,874690819,49687387,870081729,381067948,921634462,670369991,892032343,782086551,49971704,865557598,635089910,891780391,414821914,440850851,80701584,517165079,785595614,560280505,716167388,615940002,247756526,429330831,131414770,240888272,44486692,951357253,7151427,363802099,310179680,111942581,863370319,251027513,114937482,652770984,620979346,162050303,458658641,513331874,868923190,605722222,991801153,854399294,780561599,672202742,751615989,562048633,368005103,597732820,12026270,866662447,984194321,116630063,636699249,956962245,871549299,488615554,206397700,938931142,19736700,603339468,16921815,410500800,472066170,700297422,343867679,415696050,197592331,622916417,336793371,821626547,204564630,587406142,471167298,114313470,26328675,994536084,161415635,478691759,316301031,758878571,391302418,136205760,327305684,312511559,471990976,997527205,445963661,549635681,148286613,390989037,43632565,892629806,514858347,550369403,486802522,109265970,959713708,526772348,303616909,182688347,784465321,783341277,370211460,298724381,689834705,511536027,719609072,499445487,567720251,277458944,377545001,578675476,10007199,165327169,302727129,535146748,45184921,964150892,435668954,579035454,555519028,974636631,331240813,813825500,231326614,665503226,33185854,812603838,117042784,512458212,801715058,527793755,371931769,871647026,974633072,715076874,390573245,72642809,986049061,929382575,243644820,874360033,30321384,574815884,918248941,742428295,423206726,74889544,476107600,76727114,441766183,828041240,264380218,785128885,508351401,392150168,395295205,443261311,124573939,457865401,542796514,167309287,389957210,114188439,406275952,732128584,131152629,235442897,489750549,353967548,28251595,774303498,735143616,193576909,862913093,964775208,824246382,103043130,559419164,690020323,852715990,265341053,270158565,306190369,465294076,936209705,833353818,423593738,387872845,336851905,857261311,364417211,866282437,627965279,119096774,717842070,474038017,312871806,228897137,241919196,757416663,850918985,679794966,557940064,98329577,678118596,293598128,230152413,473871163,998876239,257708716,146911713,669029512,353216245,741384478,77696864,186283780,146699233,738308400,653145491,901390955,293833028,9252544,942547605,353408133,69804451,394546753,358047660,564664525,187993937,577004164,782678016,870973683,457086060,88525428,379950693,191906477,801234650,243493365,500978259,459316951,181052849,12246745,785569212,664932176,473175658,57071872,846180185,332277870,852756221,323489837,657421051,359392667,215374797,58822701,421664414,342917784,184735115,365836800,853146477,493872494,277895616,855803148,308646053,704451907,49248091,835883750,736107661,641733515,588330735,143336803,302300902,652832222,34234427,935865430,760936286,292520944,336455166,648606146,757396801,44031426,230250536,824428908,39411309,216555248,90726612,442713462,123609255,648669943,870887061,190219248,993257274,984609088,894224389,689987120,417575414,670454472,96944640,651616325,327310130,997145907,986793400,312397303,611349280,205160316,3699832,575137923,248123082,673835127,800541591,454564824,933493042,716644773,747549057,76530586,568339796,206631246,61565709,58112343,968298889,364636301,757457668,228616027,794494130,138704563,49351883,802679389,700639825,116712731,521088689,789212928,392891765,21923807,71468618,642839165,264136836,567872799,114308327,829571236,807291035,166998098,822319685,981360601,132352253,798327088,873681217,268783080,183957810,932120727,473391402,592062341,549368138,899485755,378367861,964959558,310653542,915571138,879544826,510761483,722076058,725136591,644733400,129600640,7162990,285675492,621089394,130257277,937439036,880806858,901640111,268688138,755040006,900145808,279362529,564345656,963458496,709515025,45573144,893703668,923763777,679240356,479493711,206576028,549854095,189880226,910866115,852797409,345317595,477840216,23798486,305454427,304221138,710108983,310809475,271996630,779286407,841725964,865075712,638468607,826387116,250971143,151351348,220607395,919713264,211426440,558623706,973602890,617695353,708050074,676540284,267936684,172550142,217749672,769651467,798660028,239744697,865691337,746667683,118582146,993941926,463161171,726915811,921618409,224359992,87347432,400779000,303450373,106999680,120176321,149711086,934835575,135058088,372181044,766900367,616442546,2099240,747689718,492496793,669457797,511956847,744236262,747759286,351062412,540900990,454967485,897200517,849687613,127574252,181742261,750952508,345807951,784637714,721962843,950116892,617147639,926004162,478424270,249010870,379515436,127024940,246366384,504205456,389038621,468014526,880837998,371379128,813021111,883063975,948854917,943300563,21410640,615876841,241875343,269994043,927994411,145679376,86297214,868852417,932042074,687702406,556682119,577716896,821188430,59216124,919824361,273939790,189897437,886954249,411270350,609806198,690702145,209215354,565302855,343273376,444688156,691006906,77411480,433778975,146686069,690680250,172114340,390604510,115921116,323128689,790608557,904947620,692292282,830134322,434994250,906237515,560934525,602131089,163519367,292344443,232089420,394688618,697195531,689916134,413887312,233275625,785126423,139431125,466057869,210683252,404772898,820452927,124731541,482265568,689080598,420378360,899670750,9226085,36442645,201774559,644410322,49699580,200485369,618132568,985583463,779190279,527168241,588138858,355964120,350028666,722255320,287679950,526242094,170295096,736668303,712984649,107406538,314751315,914511659,564746313,232356001,824979221,142864006,160877167,724925306,703798309,26367501,605443389,731540621,826046772,354461656,296945867,887621519,310961347,496018004,841750397,248590882,411947433,355008097,416564258,795220818,558095885,684477522,98056974,448827847,678034185,242247309,411593557,157777521,224889329,756534623,859040248,862701763,297177436,681720261,631127089,335593231,801294461,800410707,525783563,952933185,941771479,201888625,940233563,737400232,250438667,34960223,545589519,118423812,393420911,898057299,319887681,375738196,17998005,648971591,579544953,647362333,401744502,153187045,988374582,572326099,435048918,764597882,30319570,884559715,746663425,499670765,142941203,386965312,508338356,290181983,865429592,193586769,732726703,649882816,374019631,170645367,592428501,855812389,694206507,398603222,74615943,797947736,527586069,173601461,268718611,583386427,866414199,810326862,60816987,46854639,55344795,355057720,873668089,111919851,299652337,157498664,434014094,368973589,935549069,723001880,709699810,787896092,990980606,763937900,67722068,862984924,791355540,472635914,125197095,634784675,129058010,11631152,731346561,417898996,32363205,751899311,604749718,299002736,958107836,920816279,985066461,71284845,577840410,107833187,754204711,552564276,369624376,723571835,781381045,11306600,675745555,656653393,399383606,920050941,936060773,977092744,75505810,128445870,564727403,18230792,362333532,384267789,161701044,391842680,138839929,653370531,503132323,871195837,538875507,814376688,629258923,984068333,752761111,661748777,173831427,336878561,271571949,48928038,165531165,465866651,582651913,861847569,764938413,306960287,578290404,676702690,599336656,919527435,530820311,484687609,7454440,933532175,264150394,877316729,239678441,586365449,325542487,944543588,157277619,286890292,483244245,436806484,71431147,527578033,700036885,385724393,638709397,308170407,716741632,673849963,532072886,243016085,765319495,329640695,406981440,123801754,986346207,81224799,476954198,678942503,823294974,779266617,290227741,194963484,821833372,848483453,190779381,121318219,677464559,364003713,441902855,942145031,116691826,779372346,297898747,472334917,715613819,398294541,350090955,980554020,896434517,316364478,241776627,368509373,923097953,397709823,536701172,765901915,41838050,999592330,396974346,552778478,129018177,993235042,645585613,970109548,95450689,636872346,879889898,192945498,11789555,769058944,898635662,50091115,450214536,40005598,896771941,60320874,855398825,422137132,151116116,647065567,627176001,730341939,392207469,873883412,176944865,756189654,603500523,782095527,538594183,100635620,820755512,931924931,634616166,20628238,516658975,40557304,35899727,564959871,713124866,180531161,153169784,509413582,734837295,755372985,737359741,734890288,627962056,150456370,234577207,461703339,71556417,503946405,861232175,37428436,59724963,8723617,271313501,774472660,893790249,895738734,296100840,437809669,768706724,469058126,511710255,542145351,6887686,70350212,446579384,583031470,784968361,388078858,77558014,538187015,201060732,235456300,519977817,259249549,741372549,871543082,804142459,893225640,560366382,509404719,227551180,131792118,46479135,180577075,620279245,927173194,887099890,375465572,648032302,912590572,312062348,182169059,170775069,185589059,346604348,258044765,102577694,920919876,741642925,412603554,568582881,373013440,541782775,941922489,614564236,808106194,690238206,706229579,85610428,101365674,81112804,860803578,555933208,697051725,327219102,350791120,558701122,35020106,337931883,821021825,797318430,574824202,751335911,56598381,863237675,505032010,580515531,401104749,113572341,788905826,397306380,566818524,470490609,828066534,35911260,877567132,570446646,426873892,483909571,503542678,544801379,641881150,281128127,440442851,210274571,726260240,467883737,242295408,922229807,315155512,3770779,365859291,734337970,393884090,586821251,575940441,273107099,825371180,406071696,818882863,307575098,230555543,463965806,998429004,763097003,151780611,812817099,700601968,206192666,924873886,677963454,65486889,626384060,603922008,416158116,142204870,363040997,767439111,431023906,128832246,413111706,586525891,553729689,649073868,944846273,336803360,799797582,484082098,32361510,185699086,386129179,357135529,863869578,310877083,718918880,293133489,884659280,984855116,605307263,571678139,811571841,668127337,179444153,587188535,594089945,256049804,134942993,549804352,161010856,619335221,137204765,609362835,860289763,522493649,59825992,824678806,812359827,623085330,823731904,839536783,98519482,898439921,18653588,232891255,176478003,992466502,590363533,413135080,925230687,174624728,781408996,260536010,192934624,831033617,443434784,790587612,284429977,325085074,141859181,150622578,322358780,448131012,946694349,756411785,535994567,900063246,97574089,728364988,201842171,353170863,808113458,751704944,927036366,154292224,774245028,608512440,714660514,752488641,928404649,267328186,314539950,252455221,278187699,200170453,186463796,226043807,339508573,645922693,627240518,632136434,900267362,203493795,997949897,118730027,444153308,310148286,231274294,168652001,515040840,376190381,327411918,873599907,738877019,231987871,647130402,46959076,370086200,33841449,614642370,516976379,249748958,948418020,672202914,983761308,206716164,247001873,730932673,578348009,753312118,973034271,117263887,454260920,813701310,107052188,210455719,661480495,313427168,447063818,144847296,558823799,142202967,120356093,516323499,737441147,174761969,670584668,541073066,337183198,807407150,160558894,957167611,549763845,438377125,720775026,384380523,604398169,362970877,304537600,55788795,101859159,615918639,761848988,21686021,500109762,772352476,843580131,790736729,785790718,88679404,252801194,607542573,326308685,531105061,80782327,527726374,392183947,676261402,180986100,494628134,957687957,420950101,336837973,424043339,588929658,467076102,871468880,677689463,416124588,468098785,154603042,836321868,235177699,181902813,44970632,15230499,751787343,20751543,900733182,819583468,319989726,955242685,170891259,413688959,650297134,297241984,494776822,442933819,621784657,80021107,429358456,799429205,487806395,970345293,755610935,504255038,280294851,369652874,596129087,894180802,178026886,446820674,477791825,221806660,105385360,185515402,511250122,721040731,814191150,845219768,665458388,818839846,147753935,516404827,310864715,466258710,741278161,63580598,843815816,1889015,18193172,924791958,265135471,796006223,217457259,43242014,362217014,758079738,237318221,681764218,591430269,934611399,491074733,468173310,580405603,836853179,514741384,504964703,28332015,624118585,118195581,612586714,211860120,870130424,719387038,338608548,643489213,603562395,295420871,423118319,621004058,791952562,120646698,369509018,554324293,672096240,576777622,896287643,918657450,725082479,47605474,898662747,271818140,189630386,186378679,335724193,647365583,645598087,116104986,69992199,233746152,33773851,150299674,627182781,227176303,110227799,529054395,76151485,83005533,205134325,831781072,938784382,392871059,672143228,338705432,491711550,970511128,253380710,931563969,798345249,774652932,768579251,30927385,386717274,17846986,336467219,23401833,342821228,382022479,158535717,462118188,451787884,243869344,154222408,256706900,781447201,678839712,817763784,723504389,132560431,658285895,359056996,511119678,746181654,168244910,296021863,264505819,18416823,364434027,905296761,821993134,539763775,472550895,75930166,837273716,923464244,632645024,609180395,363006860,400118803,121122956,366152980,919952054,68292634,912733488,93245462,771975614,846638122,521999298,368484690,542625983,554967637,305477048,473280464,617585542,507263404,648704742,787584384,448827419,388502455,317977285,665998039,51532795,697413127,235269671,721740474,197238999,913303344,170054644,947178492,139377991,503469148,888590306,14222814,397990054,148406635,943846889,27376809,975588824,969000182,554242887,871782881,293694086,637457308,87554613,689774217,122094862,286313818,712604616,453922689,514944450,89946154,536441637,571044277,474035458,159643751,181296351,714379318,976864649,794883509,694388678,161372027,178398720,983384971,796719355,906410402,100955578,56170866,9300096,580690038,798599183,928091595,418055800,637201897,260613250,337921847,395327316,197813951,645523513,764903422,822930936,89628910,425250988,148335971,115872243,464903610,922584123,296125903,511217417,110099906,143721561,384417784,881827968,464974567,57345063,557140503,12703909,214098913,592625032,514343804,745177292,754876732,622007588,470329802,871253320,672258607,161488501,1705177,98663719,637728313,785322134,436955123,70854514,421605400,530289931,977252806,882893281,982899214,187318649,551949069,30296841,796978963,462120563,313368629,345832504,322469572,654040088,226265205,474168405,405765587,866993935,193803030,433346594,325927473,301450796,261655480,684199471,691689066,844789988,783619694,212698804,507568151,956669424,297722900,393261785,517151037,72893586,762004116,166277864,60332235,286007639,471274833,916798080,131315645,252419864,561054899,57164509,659236577,844054809,508646873,736208514,69989001,13610327,310405234,264412447,603090399,469730476,684117315,282784293,614933964,70978633,544880163,875240912,37982921,551316528,473243907,471376837,530592051,930532781,910718912,10658103,639857869,94836260,660918290,923368360,8032016,700684943,511815793,911584472,438117247,756329634,343741939,358393864,418965998,816092625,666499395,758481159,637090197,919059728,588342930,366133763,552537989,857429826,650433132,454874701,986731258,454040872,342011457,243204755,957286491,468318672,515662004,882797472,143522336,109708049,607458887,268556600,447892692,998089497,875741097,89825459,674425974,864806768,3052257,408950967,370282414,473831325,258343870,478371681,616140011,787572326,881270367,356188257,959160947,574267177,83867438,215723877,337873638,139729776,616327027,328103087,940444070,513311890,586935924,557670839,688469450,738800497,16345453,869218519,405691461,271195147,576309442,292460111,420467596,497192515,444106707,231215130,234096025,976084645,467288756,286461697,668904302,212401640,819282188,5278333,676958916,374936604,252830695,21583331,8090879,703064482,835790276,281347184,148746200,563919362,289769250,705679982,580528455,587308,368333293,162508857,515936088,991375534,639886674,614409770,908581901,605197305,46840774,10824444,205416042,806807502,686269608,67445427,237859137,577861775,441474685,723962452,613475967,715074712,351708511,880111166,80344137,174294550,22960737,300538826,555411319,952045396,603177052,882972730,657777398,703508885,290592228,174402534,613803290,367940586,645326542,892787382,114755889,909177032,810862007,523459122,219005026,231421561,161282657,640463200,650325554,70754785,907227711,135174964,600969357,177545432,935169435,110595728,124777348,92585410,153265219,98323223,282729260,100172215,571940041,719352095,536446006,241682465,747476813,750763231,878161709,761599909,456927258,796295306,128585211,545345256,922331774,913135537,543267026,116791325,479255286,266616963,656505960,707023124,627357482,372217338,74967541,427884757,489598409,159989074,269221163,2074585,594662082,746942337,192385405,39080176,745254307,730918208,579949482,869501461,244945149,247374465,96466863,169870778,562157918,450854089,634398288,899498515,293466587,307443932,554647041,337421078,796235763,147490006,236343225,82506482,339902172,93435363,46724921,421416270,552509311,201857667,729183051,205821030,692539278,731755566,241121824,846504781,351506339,346639157,392479058,560329238,209776141,601339710,206684821,529106906,680224829,984093760,602052017,339561509,470449138,354904687,357018112,993908159,324384159,925301768,964093572,554973182,384065467,567017946,885745687,621943369,38812233,212990118,55317875,188650349,492980571,833383321,967120853,377467165,688227429,216559754,641956011,310125846,33244947,268578051,722323285,869817015,905758447,521273176,902030537,832165124,645767098,633012461,790588654,494862827,450455803,497670689,218948056,256634597,615991292,707807346,75792788,629743,373497550,114625417,27149087,402510294,181134786,969880972,357592897,884737206,121182755,182138549,361346511,510391122,536533722,651529371,86842814,368512982,378068212,192905867,813210970,363454807,100612492,395661291,938496457,326082794,497869680,45330872,702902063,496909849,958817319,830074945,267869506,418336986,500263959,277258900,642980850,559777576,553702567,275548248,172264654,607254682,703937528,445444239,437979193,421075516,357813425,35769985,846393360,855732828,739438084,755521710,234261071,653445031,408463631,514967552,535638545,737911654,60199043,313028614,244319869,797531984,953683052,577596714,22973656,197367146,513364439,630543588,798055695,272748812,699637228,736517079,382115156,665775910,685151426,797183385,209330643,759986036,9458199,978471716,416035997,466421765,137753731,967820849,280166709,504792833,261170803,575962197,798977284,636638254,773998978,123681305,318112132,832181143,529847290,862206391,221367134,516531587,238531792,635569434,323649381,676219231,549094741,912567556,210767446,759113576,999209557,575832819,459631815,909378421,768020112,590554597,439511215,691438583,986948365,119669770,564646245,426187199,382774372,182763866,6070595,721479080,623797997,821810587,919418815,307249318,126729213,415645660,414221858,710925015,609050681,483416759,916388492,515036883,728413932,584873717,421740507,917635315,689306048,987285665,125209035,120255518,32301620,548920777,754728125,916763173,947509800,996015684,255178477,824216859,712341678,313363977,695564408,654766432,660506449,659278596,541137263,249137659,618083014,136430672,502796702,684745919,56066966,424460372,973912699,54987753,24393540,534316934,515137390,11500603,43948634,575310532,509617633,14757460,982362653,350035199,195922771,671714712,331325707,917604847,179413117,137397560,551232165,272977201,248767482,982504289,317455702,966728223,889429221,59436784,853812236,106996671,269784072,360752371,416744785,691299866,108313747,645598911,455165143,394498939,172204048,287691869,376413743,957016848,232386289,33014592,843991026,34224642,244607794,579243995,448686450,295419055,377975921,565067657,572137312,956449095,930928421,488857832,749465590,423674511,572576881,402281883,933400050,367988492,526213634,89699108,322677287,412271402,584193781,531015682,521994508,684058751,429928766,201151692,344633245,122573991,936293995,176925225,693580707,71169799,668164198,620218489,238972434,936333019,860920930,101898251,211181336,573963163,28776502,459609443,56208771,151029075,312114809,644260410,537845223,230906241,837237735,68124756,393752235,751702726,741375183,179116507,310631463,401191182,484329383,933465492,686601959,644144187,62184220,326846368,181894006,53213013,798487359,654439192,554278374,86702282,64344603,6108135,840277497,723624461,511259448,383025866,900231712,452244298,610365607,955378230,381884386,444583982,851343740,496917669,810454624,831603916,131674806,41241552,27794798,182415838,757535089,111618440,712741088,29996430,933152795,237776666,11321452,619499935,88557779,917863568,124794125,185487024,891554742,562145743,229047161,794160507,34903836,101298171,31137615,56121670,878621185,660882172,539218646,328156052,518087394,47456524,104153430,347423045,247749233,597774128,732699355,645419245,628964914,850056283,399533422,928161194,117824506,804796251,53547504,878963478,766913498,809792740,754923060,157860050,182393371,727242921,205690013,793156137,48116847,935753957,645927988,531048617,960592948,113870025,32424234,356544670,911606845,693614338,36827857,921276957,510999278,182745653,777661744,814567844,592403363,611636021,628050345,574602358,118363366,163797566,78921971,676244272,494075063,756843770,492976898,165152802,917996331,149540009,235287688,169795556,22577348,1165589,632125036,926227167,965699227,70264895,586906149,500417103,910236497,935901393,985297450,358532722,378812957,710408055,639238286,288828526,820859747,244784795,494396605,591550817,723196544,855664167,161941419,422874093,552016826,695425749,114713125,306106743,419894892,677761574,568426895,906279967,827930648,398749459,842368802,852105321,806824822,39755261,637633252,143270471,852328436,8176604,373185203,203923852,429375624,275699854,498122819,398270518,467339322,64786535,29934611,280482967,45873267,425766962,997302957,889922773,433846928,434861109,601180180,979988607,539634620,813250960,17129953,802691506,632984136,133378160,57065206,985910355,743559246,66967915,775746632,511002948,328313045,647888722,958292941,73799850,130015477,482286393,184006991,419114140,391975728,482770622,226937455,652227596,903491157,715962966,870664692,820680303,861136253,319725730,711023539,504541900,727779556,388961501,243661514,214949708,870260460,917610815,240538645,354759422,85461425,351330900,805910577,31295804,653106982,308014601,500770405,592696391,528393040,87003211,393269322,627946849,591923746,893412885,274476266,421727322,727899594,72988460,352213785,327300677,196452964,799804184,24499170,790567373,403161175,124290403,295101822,599167914,899424006,27944418,325744553,705005480,137740679,329105306,729152825,878268114,284285002,735940328,91642192,932575747,570302722,570411646,733784802,583744741,204966978,429351660,474414693,805166645,500698302,994816113,989874310,345844288,446082915,2523055,422329877,505938607,930579958,835848843,954423241,846755766,140739874,717646893,550423630,184561668,256579140,749817565,159508147,104144645,735282697,565140478,915566033,125006326,889927794,6194262,915564195,83933974,75098874,817494585,24526308,373151063,187229334,660795135,329731417,912422095,728661616,989990119,913168458,175941181,906767401,25339437,592090852,697708062,197690461,341895518,198384180,4714619,492163407,209065689,262329973,883396958,602909177,448915627,174068560,652106755,255139553,367732650,801890124,874287485,871343355,769210281,940610372,473884349,488551460,803415302,368872970,265131607,551886179,951848701,104715569,748708481,500169971,345938129,636735046,628015728,649153702,671366556,674578406,684805237,484884378,155456883,528160067,421889691,775855722,157182981,854622317,717432297,634373773,132672702,448550446,940616709,694608187,317855870,858666019,997600801,260031939,271651704,626580189,699738098,383704489,818607155,727157657,768615071,78784442,770037729,341526500,22309833,326732747,520620823,374467464,404430474,853210234,355922765,584539608,490857171,416047722,454154729,813844948,708609127,586037125,53295730,295179681,970948965,354334732,350761743,631288785,868184880,480308380,325859663,253804129,880491961,682094552,751592908,851923707,95766409,758246959,205457756,859806304,621515790,760433073,501788132,50556961,51767105,315220729,774892172,254120088,734650640,508781260,746969991,78545531,89269803,266009406,140355111,194507139,467096914,666101596,803459098,391765175,996299085,513785450,535863865,741369488,894897852,40028690,852321857,811351942,85262637,292730624,14246576,394089728,908989586,329634962,163253445,162154755,317439503,486914138,543323193,443580010,279764813,824974521,95407724,281573423,191413761,694635487,67334541,28373308,162165800,952431198,400319167,333722300,313205975,672587963,922862343,91251572,741708470,742933859,404853392,89015308,437131149,968939204,492084680,344045969,625709521,18550082,304576243,500599885,594412497,745896232,682069333,585933923,678793188,212807164,613489093,426362567,935702745,867165031,865593950,218263741,381799758,580843724,627651751,801368857,709103588,303507270,699249758,701845174,532316389,317480255,517164102,648807076,578717258,139167125,669800634,768749168,37495844,752888795,409610866,927110865,797138744,266920332,641686531,257043520,297382940,89454086,149033256,958711727,776885056,430757224,716692817,50770111,839015242,166213706,382673116,241714672,801574993,297122635,42293536,672972013,197653680,666260081,574503027,379150389,897845816,232022224,588508571,754844239,678348129,739401757,32539500,932177133,825379414,547084831,743107282,701228604,482231508,112239529,294317663,303298780,111929927,70123408,539246424,519195371,747556726,574057447,293353386,931741672,860167374,898878688,161437249,374567455,464623955,161064392,905056333,422934442,109511439,326061020,526634775,835880109,558684205,649760263,446824343,306095507,887670196,202303344,298523503,255713949,927117303,551100682,381929486,849317040,539102495,438548061,933162831,29326400,705963749,743837351,849723385,681298718,974323562,902299131,181827536,477088910,979700360,760814596,247456945,581430471,667920708,107498568,360744759,178953405,289614554,889083508,633058751,547739773,342042855,749822978,174099104,151507897,599060581,941933867,157401345,490749647,42099987,177390154,892470493,279491696,473325557,744026334,184270299,760033614,634999085,496387039,21439909,363085977,888658370,955293437,2735213,515262155,44342447,175526492,471405044,728594356,430327837,860646709,905133803,724134579,51555331,839504202,170366982,624132245,976298587,479413353,308706184,781449023,26858826,32755054,446897151,523836074,986777100,785542506,490132096,707721570,785645,143143381,487892427,27500029,432787801,386586664,614667416,364484130,409552209,414923088,724100889,541425777,987229363,872520660,168159180,168816984,679822283,140317959,380319031,743834164,275335908,979988430,965477105,614260204,381480852,981626316,75874804,927639143,736210411,551015897,71980046,718912502,931966111,736875094,653402228,805417304,624242425,342361083,276534426,993566540,101417491,73680050,985680947,124627377,515985493,529756001,877480020,675722078,890242863,758660716,315160254,567387767,658386090,425241633,79484309,20479816,670291767,992396921,395847003,448587722,877818897,660313014,934272441,818768515,178219441,24177763,508905899,758701717,396911326,793032589,255647702,531939123,559867339,765650901,216136643,860259120,815410346,918315260,802503657,429901559,182431996,955591528,411972304,348258653,548370004,333208284,959963582,105353760,447039327,652673347,387891368,207959379,355428281,424796169,577942933,855357353,504096210,578944273,786170846,904311157,590301716,600666074,619355528,597754654,560896374,210228620,905342614,76661650,211869984,206155106,413226507,210362519,354364856,911652440,196254658,13449529,582515520,212887114,710574256,506842757,651467494,215908822,272141530,875650550,914858902,107354233,612348785,920298390,25594824,481139271,876841716,917891939,36796740,796685075,852652398,758034026,346421150,83749501,542378741,437205679,516328524,920642317,25088747,575683967,32249210,92962987,149606884,560996466,59387315,881745352,589170613,511807738,523017443,213598335,477255663,49613760,366773246,197725931,673188581,644408626,378268434,319032468,786889409,271480442,697992977,21178509,158839899,226034392,867037382,273973039,543020233,653461213,499867910,738134583,398221263,726830086,485692491,221593976,295336587,4235464,890371538,931446944,660172472,479224917,422929094,935288843,466418091,818463786,342996026,188725990,906066399,605474512,952156073,454231696,178513963,791689257,60477409,462062509,249283832,798634116,359850618,778787042,248828386,277309577,794928260,94395726,701398507,232659078,591388104,883290669,972777532,684692277,185544356,732235646,752965554,15646332,147992335,322006174,247199933,617643069,633924957,27928887,891086741,14977065,103111552,769379539,310551671,410122255,674613013,846399068,816947455,247700108,627753559,735540731,844137713,233180048,453910695,194247873,950922749,53001757,827324936,845909975,559295692,545906415,797289001,549642377,997028911,563279492,435023859,473391391,389159093,900045361,744228928,559596700,250627640,314672383,370493341,470240271,421863299,433508956,499507063,54442279,693289890,290715494,385866517,849466239,836672376,143854637,859189390,876888079,640310087,833173697,17674129,988264948,906731713,612655231,324016016,202836444,867561993,2469556,700310464,213596013,899939194,18719715,132059864,458014836,36819879,556795877,829748376,366592599,515766788,785581862,161539898,788901038,749290467,21862562,214451345,987025945,597440566,590053671,405031407,743693451,149202330,106180008,866145681,684821245,893478788,282244388,900119454,951891973,156919344,775923333,122836197,707652189,667380798,975823766,731369110,753934136,426295549,194580816,81900613,75545302,424036866,750156951,195478221,267103005,345192045,62266558,226630121,269627581,539538364,322639792,462053450,687029958,419879014,696677994,759498615,817187905,337029106,129735979,616234210,437159433,242005969,650030775,166234746,571870087,852583030,382148393,450045652,906242600,45934478,500625565,853313630,460771975,643413226,580631500,563894822,857636103,541159696,151006726,526938164,313998627,887377887,891447908,59175858,649158195,340251799,430314889,648858487,366085720,391537197,831369881,48228476,198667661,1244817,56834923,15717832,844845116,60147711,805576703,519106867,680332558,295181857,543934116,741482614,87970168,89946013,263414490,913470255,805564959,865665717,180588659,601209667,134558868,700764830,286095799,831732661,157333952,500270183,338324795,759740162,77980721,70795051,679979225,639925009,426193259,307556814,823060480,348283911,737536938,43769044,847460345,358510314,916423744,40299369,133529818,251281716,947345434,459837036,239938536,506472098,818359556,301889296,773652254,654928352,584053995,86946892,37039543,730082426,879722845,998048189,843493736,64168423,247537270,778887923,62160630,191864373,318599457,268920054,540423006,732282206,398557160,636075022,768730456,671032469,651627374,53333898,829974933,772342803,413617262,148121451,125339317,360735576,61019907,498495417,216713702,433242895,1969439,229578374,459702056,956342298,142285021,523666345,989674965,314980668,134559698,987002212,577092509,484562029,959913891,253498138,543347226,777238744,449693971,807600273,149998664,850316165,281124476,531970963,534712149,511551642,374889336,817760565,727422251,572134059,694061645,280818443,585134549,271970395,4696356,318392735,54000176,769938977,965313375,822655984,486441946,633337577,153197472,656886819,124289286,141364897,546426099,20468596,203236655,875151542,378723792,692888672,362381682,710096231,852520140,243287060,947609092,70494635,607316658,6333499,99581617,242370758,291292955,542618003,632078774,984307511,352356955,417427650,206592215,512083644,108382486,125509392,902192302,729562731,509321170,757510991,184469721,148563115,158947663,899738208,871338112,643706603,73028470,436810877,581691292,181201066,791369402,554559774,952614219,709773710,559030143,379360633,715442163,289535098,151792243,686496483,224752120,926429855,975119289,565204836,276379454,369157567,695041884,793695351,364211043,327766096,489156440,955643853,605776346,705627141,563987667,233578193,238082002,913979949,636045355,353008031,972265675,309805153,599696290,90057267,552812039,136274220,166487509,188179542,477055787,873013811,383313579,641383251,137587145,591176843,276228861,241664570,507513215,727148803,279619580,439938874,306692951,700589848,712194402,235503499,309320859,531567091,102436656,45973062,104821199,655650976,60183544,95132750,243587157,608027454,40420018,743144665,308270979,13322137,69212537,928654419,953126967,940857824,692466931,95988068,219942486,668360961,573433109,766243340,508554509,13087101,666555149,362049790,333077642,744964309,833991765,521282398,373890357,497940119,298234745,357160721,352018447,441155505,946582062,862253194,905105080,622237991,422428525,487220020,841423582,754088038,717795490,838576302,494755040,501379507,812107885,543840012,423606137,977511883,892193752,776574892,694142544,377194692,858453760,636118161,609269562,260434309,664046880,789369070,651510611,833817997,12981035,140220393,846174861,449075578,632418386,481280013,671439651,343190351,837712811,160638915,627670160,521759592,385031620,709989682,528794055,473760175,99113614,670217258,613010580,864119498,57526224,859825303,69639207,86460620,146542981,436553412,5576381,662697974,830603046,269322669,532485832,851714135,912756812,110059539,841774467,634792454,712559215,404985505,220724294,967259789,191529440,310117481,983587035,467041439,376461406,878148675,335770085,356059099,903356729,410773736,788387918,494874117,452770568,21038522,502648440,398640620,866551734,496461769,790642040,831952719,255010301,786581245,532390154,733489214,18780790,799126705,895328811,286624161,42505132,885607608,845061583,92444258,31555353,669194741,770241420,453173485,649740687,352137344,49776398,93534206,437849010,671670700,688954951,329704194,783987326,131497677,787069144,960830560,260249382,410618120,229923535,754539506,933855361,720329515,184402628,85066951,717703508,106668361,402576869,602287923,123461045,487598561,844214324,181895987,235865070,543271139,894103334,630102410,812860905,422722611,499567376,165837786,718324190,432166417,889486533,994577444,298675520,364975227,630504184,146046921,887499649,460629406,307787258,590951816,203755976,9913462,639299926,989945683,802081343,554005766,336306793,285622756,91412956,180578027,975355042,413437763,643296277,326784525,500157341,767734522,996891218,243796647,708384842,653820144,38128502,474207662,494298785,361139968,96144801,652852453,940594866,390085565,842199256,659056799,457204307,201636606,122255334,176072192,399003727,96795355,421559288,103883356,170592535,462031170,838852187,253305795,562466265,270533376,712850753,372189114,189189209,181551818,587414076,294260242,127544283,436866943,727741747,156254585,693359491,889606163,734592633,972709322,832701392,180504617,233325165,19009465,801600368,20084126,944179246,59056123,95217530,245570856,927978036,669937179,481317365,34298109,508023471,139668844,45561778,263435044,758062084,535921887,897678879,173564663,298254144,981732109,260170022,388915035,510801740,113112437,874563806,262911875,623776054,180156160,538731088,203957724,664171849,147107837,64547230,847749119,140648744,715733127,331185722,372172580,770687248,354698506,354697576,770676925,272069247,220152388,894399795,656215415,576305791,207402970,861394132,235607636,61172912,125168704,345960923,811966531,897830922,999055661,235561122,123041593,450088894,565786140,607281018,510682037,793537460,846976193,203851967,454858599,33149783,322884143,670909974,596236484,494008411,436178370,254323031,175414160,860289911,556443816,302722530,843983656,764442274,19813194,578600924,966986035,30887896,887911656,479949701,2510227,788333531,2588311,280738348,775798920,897760628,234513297,713753597,217327916,24188275,869903598,704767939,891182479,939104978,536707673,924572425,644403693,26834766,169557378,628624675,22481727,841370707,718292290,756311313,363381856,456775346,792979045,395242889,841904048,50917870,15296372,846505423,977338278,967541059,437756290,796727382,352120148,702616029,387231631,251353354,294367162,464684897,641880202,761235037,289523555,5882784,912822502,956554359,391306396,538570154,191182056,935298539,898263060,480088244,93558108,407778577,267935424,441299123,632115624,85998569,879399858,738869871,626115728,527828877,947885834,188747915,801398037,148302135,539383456,842400670,311793188,249640445,52505222,23592226,728706195,179270224,224852992,834674917,448293546,236019804,78436392,299117684,85582127,808191731,120084231,447588933,843493898,14629311,347192081,534940617,298638048,424233584,129051054,22111986,637209939,56638284,77766661,771734923,159685939,484022989,371876150,614856038,781099729,917181111,525359367,631878400,199542364,526429401,160324482,835777796,823961136,29159556,13480314,249921547,753657229,4946345,139230792,144214576,860266353,987405467,355458733,45657649,748613457,758268150,252824742,538191666,725840984,935732162,467983725,633833369,576663195,33394795,603554171,105432221,504241192,730333719,515059256,14694666,176286805,608731987,214836154,704043093,338928970,62069416,830902066,872971329,629038236,23244747,848663648,491187972,855264777,389916152,825818273,393778283,594272298,551301822,716806005,531368716,192947926,960335264,649368109,241212530,129808363,512781863,492218352,201553393,986400844,904025000,487181533,459438389,796076103,23860129,87841135,706265264,188367914,339180592,980285980,904637676,699484426,703084919,44603142,490336751,950727946,654945375,507150236,10201908,538818972,174799603,669586945,430958429,326023095,704804746,335434725,526015892,720255685,591496414,396787993,858992228,221963384,525767875,931222055,722504754,509005850,761384236,723904819,192984322,968166762,328429840,691904541,702735913,848658072,611640494,471840814,296881631,569593576,998943386,62664487,876897872,536933893,989064353,895545943,498879549,786067409,83331161,98507248,854521974,675094565,806863027,717151891,479300961,166717718,147477914,465739138,499417282,321305311,788696276,187456955,947548899,25716790,655120620,933931363,220516017,536210334,338138253,321915934,56142591,288054166,396134399,355833171,240710538,18273179,586778505,751119616,542459502,470651255,54048075,918164239,862340611,834405814,708087993,760212807,212991241,433928651,212618037,956443448,390390655,829432083,429803261,554510763,613685344,786641108,274319728,926918068,30482626,923886396,843699845,440411919,247390444,201161483,227270454,237200020,511379667,170664514,355261849,60410068,197809768,880398512,437145076,77696662,90521139,479496770,95326136,26227131,212497818,62930747,666032659,306928995,276880106,32489989,694198718,921846951,659385362,480875099,840383045,849923536,286774547,289429307,879391372,335353423,950608120,608718459,840378216,422031401,465068844,418093827,608713,30984108,255260708,490078959,337466678,861264405,204233686,744425751,357396281,908206604,958420295,614768249,893668920,754217720,66859936,463997568,562445403,659630901,142756586,325140545,984092834,757126947,905819221,434577060,826338997,154376686,275795459,274087364,635416835,986552564,471693930,120486034,888144945,692707784,251133563,286671122,387174684,766723097,599658479,932757441,864121550,137800091,570589300,968081737,449966113,19505910,89973511,932156482,67736823,194915364,43838271,290781104,35980790,415554808,104052673,78307116,229779126,785391977,945609725,608196119,840100977,119753625,212340565,867816004,695530951,199976490,667161524,681284792,956744769,624767247,596334323,841139314,42102624,727027127,543801242,508295318,532911372,617039440,42116863,251270810,838648237,462006260,170544894,403427094,46998659,714189297,409243124,562096166,810858052,370500039,574122256,971064646,776560540,215126692,139148971,233207839,859180124,587441289,716906795,496247228,238120110,251695802,46937405,65301918,555541897,788601139,52259486,282149604,940381432,958632732,484739034,80161415,167821187,857762499,138509925,384117673,184008478,417297878,973629999,59294977,868179208,652244898,662424157,281168978,120312437,176916561,709474753,431708329,293709277,777685287,803842005,184048844,197981244,958491645,325714237,574152067,716151537,901908347,636052644,665153254,224925111,649520291,378159717,412822762,534280087,226336014,894643579,452494006,218475788,697041376,364571995,828065689,641821343,97259767,583432236,338335709,476688339,119146415,569620382,376949337,480497833,919008682,544419728,522560473,176370948,201716025,703890827,150511211,859202335,370362246,424386263,358868916,743119702,889569961,284466779,626474428,985854839,973589318,790327147,251644750,94214747,942854127,671541805,682647998,166132863,438223845,102857873,43570599,980135112,598723898,9906153,944258188,470031413,245988989,657387297,636552601,814723869,235088355,402598439,474085786,928597906,447682936,135929654,68136494,695178867,196099946,828360515,13271129,948607830,910597824,391360068,985068779,200764465,885582247,986546106,621463295,133163068,666413622,340544401,816014745,744134404,842672625,609788989,959126064,220314126,808976536,493278766,716068907,981947085,44526518,410700684,246480294,221680203,435419676,718988431,869293366,603804444,372061415,996945763,140020655,260192782,230856358,14386350,257375710,928038240,458740384,848169549,750701940,76849929,668412278,617043967,806661686,73168940,275274541,750033841,342997135,557167138,227320854,881703412,420813480,711442648,707687153,879127489,814430365,189549078,42945246,787127841,949975830,150557912,313589010,359621001,361513010,634590312,790779035,195207822,923749896,677595999,562899587,250619727,211289574,26334888,997622732,792584571,50411317,959499670,983465220,316428922,955396814,476008768,795221652,298659797,464172216,932409491,996093518,71064908,664591990,984244082,19203104,352637207,785362598,522454914,634361937,127530540,996626450,281326468,787700800,17381489,30782174,436448400,720276571,881274856,723529353,869301501,99345682,877019823,201484401,200902551,870561288,534696332,272801566,763529405,281775305,925331098,6998652,888285230,307612041,261526301,376733516,86412117,738958798,320001624,635987522,846402242,655605002,518138172,320520436,262048145,169095744,588748794,920196972,448170496,149254944,202234363,336242042,936740176,667763607,50602145,686247994,23432477,793349963,432332027,816133421,853545407,47605066,170195694,814301368,997178004,400126341,87027950,821785887,455939385,626131810,210921787,747108164,477800552,821607319,463363249,501291403,42609820,271997712,447496986,790651753,981015604,260535716,193325048,634977192,962874485,932984980,803203690,522302173,914978163,161907144,863213923,999483356,774497844,965874758,923767086,907102689,880899952,732916706,64488664,61348732,298063458,892022110,54289723,99234026,490903867,101824928,480457836,293729115,329136141,73475819,55899559,134039655,140830879,931282151,308048714,322939778,896572960,75376988,807664556,624964906,47410887,96814985,773350391,756953846,414813339,75590785,191583519,502332678,824906431,872152157,226760231,461056100,772836284,487520251,194048154,615296029,663371632,827687348,639200464,771167235,992518497,496199454,162025892,883191984,901143022,961282418,750739274,764114139,609743416,937224262,599151503,557135817,270850146,721380578,958023580,297587450,390539584,789792259,229292111,568987986,60416440,384147991,862408179,969104496,468477102,505444142,379438633,769815964,538632486,213302044,758648083,891973479,893213934,272417130,201128998,701915673,331149184,785621003,46552824,827492458,254050876,281351310,930527274,259904026,237433309,781102316,194629961,227590214,246961118,209646994,13403439,568657675,572968973,661258851,148675311,883291721,815500946,896197719,879025895,824893701,495330367,420872910,98415929,216057901,126698788,6529781,982181938,856437660,10768305,95252157,194208406,409182664,81466404,556557948,482698766,861629495,62689007,14459408,26280944,393908058,895120351,689737362,814156899,176177197,208162716,469196155,373648351,347582100,479860771,541941590,336679186,401448102,460876552,996334981,645036624,661464818,978687933,666213176,292995037,535966616,663197684,305259882,162857039,982526140,103586838,6630854,106314719,710077736,608400300,777695192,989251026,756670042,396046285,86327345,318789829,776379842,265576455,748872276,840963418,687788127,348626555,676269994,624630274,775425670,550098877,23502885,530210198,274550010,585674822,383695586,832580510,368297442,630153569,639183498,768529656,665895913,399948957,616518464,969817426,721567410,660943306,496889873,800574317,831840612,343945744,784941320,926891472,319592420,643921889,826948552,451188366,272983851,348878446,793618367,909596944,536240643,949363456,595260134,205693794,625177110,451524908,878154370,760764106,348492986,301944966,244081084,306203900,191508218,570959025,418107829,294859955,402907632,517437036,366136331,223469817,133838739,771231375,498528029,906831625,503401257,420450975,586083499,141922258,790261237,82646112,787394430,212967508,306507324,25686375,795855000,355379002,536402835,905219533,49244319,235078024,467973641,534385653,372251353,668282925,220336077,800041378,803011722,53306894,878317846,360633222,507007611,803073552,346965144,844204320,522428365,275252068,200547438,693206979,443772936,331829581,950635749,912521356,808759825,98882757,432885953,716195274,943616204,957258262,467622115,608655008,622723361,723780834,830392952,406117861,314327354,911518332,634937672,244282049,475240944,698581389,223360971,600294342,582541777,526307503,176093902,995170836,418061406,770179278,303679183,739910390,512345640,777710479,985460084,318366238,172968836,971548933,82605251,905694040,407834423,656363545,64367269,636675807,608988272,257035634,130001549,698909939,571918721,120399039,287041501,821650038,954553764,962272854,907331937,444709586,127164788,782584703,219870590,781038182,411544928,318495500,148189534,321148718,38342427,309039727,325888727,225366327,193241094,869298647,829605117,752642918,715018243,911971228,438821034,663051126,800925231,469223589,581162925,243451848,820630663,487847726,649561276,615651054,711444266,112865918,371431436,181521492,204865555,730550536,716624744,650289268,794226758,314330869,23444933,365392888,609953145,638063771,877420838,166816567,50356414,484713146,388176260,778796992,220603239,92225643,153805682,204141667,150955073,763434497,802663230,686394010,472846162,832282134,76133267,179593795,580693985,528345348,698523932,269676252,768136135,331428592,322222559,565949168,336793933,278599468,419990610,306235598,615918846,457474639,647504915,925254897,940499421,616719130,631293690,102277030,744634246,961458740,309028898,102663046,270797794,775324591,602910457,557000922,765728756,719789399,147074060,108588533,392600050,199601877,866308833,993047214,306397897,344501464,315996800,189996128,545894016,866463333,648315525,524453364,791593355,313569402,118387520,225074476,697794608,765580953,477502902,800128265,446722455,554698439,798661679,154714398,706883671,27740561,616225933,639071254,981323629,915227271,305401683,612259647,121350642,356311766,20328101,891931992,731114891,535258296,217923798,608701987,172896161,180479163,92873305,600471147,214815170,912091996,540243861,587300903,834425158,783323074,220067772,182291345,464004735,347086380,384497615,379269440,789053641,633102216,148208633,306734904,92743808,572907487,936551708,829194638,381244017,264299845,131114333,502884845,790952503,928665320,931497106,22385322,37524582,99542885,810788486,632350702,318883498,531302544,190202093,832668522,962679859,533327926,966862100,574909154,982650259,992788334,187441783,343303601,322854497,160456730,640688402,53426017,141844302,122131355,934612313,760382877,988184635,63211803,93184509,520881666,710650217,899615416,918395363,819107628,297521561,228790055,856187917,661637783,269283583,501056325,634315201,948457101,988031394,173589847,8155986,451715546,97100928,471933757,912359922,485831328,937466400,325509182,93106253,57793900,833542070,703910884,418887748,469785280,668873485,128766806,174601183,77635062,352442872,224967853,362662363,880851926,76871961,938484818,344754568,486466235,411484307,912455177,47242850,907627548,62725252,468827433,115361720,39255865,124052446,756603767,760575484,68138504,70553338,587380140,204915967,725201052,862544545,829428733,957615543,285418122,668037411,504689618,372257633,698042388,620900374,715981286,153440500,176697690,974136095,505006736,669361845,98477786,868193728,613208741,368144452,847980139,839384831,672736536,498184075,201852523,983456334,873986319,486735367,284970792,134399547,315394558,994015405,567090899,376532575,78818017,662459329,254951092,655476622,108292677,681209348,714851626,81721960,453470103,941255986,596145227,322740704,806465801,865493768,877951137,244742592,336878964,300664855,542765987,424201511,784599184,643180130,54450020,249695005,310399446,428269313,458050521,240970852,718685006,560677594,87088590,661847098,540496988,740102383,377466965,915243879,509426085,72889481,269687604,793885237,991483173,663024681,747996001,934664818,635048535,322255280,962659712,143537677,730000758,172399860,354167754,547624366,719768242,464964765,819305793,252953622,478455711,622378962,550501699,580618098,256670986,554688781,388615598,313258668,718226865,783762556,740704836,240286173,129115431,106709604,91581494,961193417,859401887,961695525,696652789,717427537,792295225,127684116,40244274,421712983,661986760,607283184,614503295,442129990,193939509,159588972,160839030,807815157,241023932,369456478,433416405,850979121,204402592,956416987,698338846,639735250,105917070,772957090,43879416,213154946,651915459,14121076,33637343,768546022,471607359,637618211,11266461,519102983,674603566,837322926,325287865,291014426,156887751,336481783,684508170,919980625,450226016,170232043,712047545,864378049,661100629,455668197,184078065,246450182,47998688,181266497,25722850,421464221,273995685,188822113,76037576,122087332,899974406,510584040,599854303,990874319,50906184,666208078,620725292,346047265,717282000,241430819,364099193,878900943,955730209,416904040,597930507,865123978,82751545,813596563,577503619,662119889,752837153,384465241,173191691,407700762,687515913,979139851,244726450,835527220,537028349,231389005,642930524,405139177,691905075,426031968,553947711,211769809,227857281,132518646,653510971,510872050,849226639,709246883,757096771,980360393,587473069,596047504,575536618,159802233,481395862,445225874,158315369,796689281,931176251,651120729,288073005,101346537,978456951,823998536,886858148,76198633,325677979,856078869,963648477,119700618,188257695,624632024,263455637,279199828,499392542,507594747,870244307,524802630,773192161,327368078,476155343,924730792,606555529,844409951,964914858,844159989,204030910,559482128,389668478,319099409,476165467,733101712,671091711,87854458,159168245,362674739,146776526,662698101,589404183,733214046,358987567,135490292,752394311,506622131,407419115,451240839,793043266,101426026,774289531,761828119,563104357,168455784,281228986,214886888,832058506,731833901,602393783,795273206,972795483,472891043,246333957,258011841,402515554,950325165,38698479,83459408,747171472,205902339,975372080,988285539,649241736,111985887,724745655,50875109,432022881,355485892,901314543,190720863,467896100,877959652,142426258,503475484,85606027,604075321,58484604,129549111,292891341,871583350,853030371,786953279,738127633,111065699,26565855,179366,518175676,776324861,365635302,659521604,438462788,711882464,894479988,265295289,427932352,799751374,792486408,147291228,638084925,140296402,521838664,273204001,280451663,2287708,685584125,765041842,784268366,698998540,618546779,191253821,356046737,647748134,329139306,219488770,230627190,452775768,285337969,72067633,885475058,814160327,580474128,991558268,377194246,361033530,612174319,464856985,925811138,828765383,887649115,979420559,647428403,2536203,821117188,233677270,881953165,516979570,682470397,618901330,911362934,728794179,92388160,547256170,777829055,151747166,297747249,498429963,179325276,855685252,206025642,968103661,614751202,983813380,664693806,272523953,530728039,730759141,892869174,430149392,194569593,977933424,825487858,302423823,671922674,626925074,802950470,825804557,780605439,701240263,744851109,464685824,91405617,701440840,336076751,735864262,839082182,481795656,569983850,617971127,914454430,960948493,234055220,745939155,142860126,239878045,122838044,143716124,471624733,62623578,103803335,828720035,109198892,17118703,506629942,842773612,748313419,358121806,411646735,642440126,619928430,961766915,936847285,343320537,773620057,713171922,172346242,770455051,652179655,659489359,651592764,64527447,243064383,833352741,216728176,898531764,1372509,758260519,299988612,14554377,89940528,836774886,904415699,940753553,40125057,707439462,847943396,399718716,732145549,637881215,553384617,194233314,551301779,16844547,861758085,529841985,332575865,672104167,698606112,126747451,624473074,323360486,184397748,481986692,426597742,569580410,669094297,431201880,28974596,404371474,198107195,439441118,183177999,53586593,800976524,179206175,851935773,868275010,260571705,606429133,307292430,840154329,821196172,196856888,109988320,256955070,828187806,650671649,386525742,996168260,17703547,425567504,423458147,94289685,371797601,703795995,579471836,691799448,350632477,92518481,626734112,980425944,418497791,289331655,346681840,555084841,302604950,844155073,666291165,728315588,632626162,404138542,192103020,879031886,229048900,777291930,964529477,207385657,372995584,702799652,468210788,969059216,862217165,582264031,61579444,182618285,625795157,380842691,263645932,24911137,230886484,449972269,956763340,556267335,504466645,381775681,394397643,44570419,698693524,155164056,411393369,642838878,24209187,844603850,849219575,575443738,905692081,614976155,148496979,527773261,224942853,187079474,807489759,611496971,411559544,688184334,682032119,843269961,877924369,666696045,698635580,732453204,842071670,115400540,666403717,858206892,744415772,403322292,72069285,167507416,162685537,718546433,537563321,753773012,818473987,755744140,157471711,877650072,449723889,307491114,798866280,103988191,294344380,211819959,487967127,959577928,146699813,965020117,842933238,491535468,64504891,202893862,727653037,389331695,47526991,133620845,144973466,873541089,320721405,208675017,29826185,935499388,361647501,760070289,957992304,58581850,976614321,848152660,932657429,214617245,77906668,515170032,868240556,796989462,924282897,781197674,108743493,760041539,210605930,710008280,303407582,97338213,122638296,684238504,931100484,862806260,126172619,54467120,766875226,233902541,638470362,957578009,675997401,912925637,787481409,683566480,459469930,300009718,513558138,829857378,810931261,403478240,607128875,571453292,907479275,437017259,149324948,14094639,635960841,452039744,72570477,523852006,761264683,607851177,620962102,406795947,730606874,115263363,876483026,280145071,995912115,621497157,524139068,615237332,432687879,397840153,28427572,632208260,699805745,278759652,858596662,135996507,757897991,561703084,58233054,169380693,95441865,637512073,786359964,447653446,277869747,601760917,42845405,673907610,106551340,745190857,662806199,592081646,860148325,938346317,860079353,191385026,615839337,271522168,69464476,972998974,900755030,467556706,364497607,456799036,792102563,986366735,13131327,389189607,160613608,175937757,859287663,945797517,936197135,352723420,969239326,979523644,66879347,938887700,758816293,168086744,81789746,200919618,890428319,435336276,49397975,906513208,49315293,34501185,142076605,243402448,259218036,917629636,551771159,298188970,802867357,53701212,482444820,161921368,95890920,149506850,757058191,539710761,736950398,846418147,54802763,150019693,903326063,416503414,446288329,733938616,509421578,354149224,210415495,613977198,933684100,159162082,416782857,293274678,488221307,880690427,649681882,424026475,475915424,525649211,876071510,665602917,89447842,980750223,259059274,778678369,248522132,474325086,85091136,928025322,30894482,126938882,994118155,756584350,990313671,288513595,766603561,497112253,697160100,887134648,205829719,834675442,967322125,778207894,35507487,823347664,423233795,294243574,691556220,33404132,388755449,535955810,367328130,516988215,697182743,967487381,117369673,660876250,900410343,876198092,692120266,657146487,187989143,684473784,868125965,926528343,932740177,737077321,554670654,8026181,569323712,485073204,472845552,33596772,609411781,164392105,893878409,506709698,166819443,621096603,549186139,568613301,236738097,65371397,666442945,508632235,313672530,2390230,53398726,79866830,96186183,334543545,125633530,277285034,817875231,26184674,589519915,770896362,939463228,660612115,575649028,96372963,840647832,137100013,986992233,274451404,927896872,840236876,101425454,327090141,245114880,491500066,261965686,697283283,223525357,803252748,832257279,245475649,289976697,926218909,707764156,765128959,662968216,473779915,965138834,417052177,490018065,375060181,341019673,512168429,474811360,626356212,594316275,219168060,962211057,742093485,375863029,697053022,407302380,759630928,207899874,483087724,814216042,483424180,411298081,713616348,739156922,494798451,301237336,90628556,157041007,738415540,643885831,807761249,157432663,225238574,260406852,147800546,775308590,25746090,827656859,976518065,878105471,935277074,711122852,989993625,130742627,573436840,3899348,408876512,868683331,407755006,792572143,40153516,155908303,977450271,759269302,434099566,168066221,306299190,268485510,748334380,632621612,384073795,89453626,62337755,383087629,449777205,2592043,19332363,635594757,643104573,302691322,157007694,426016312,888686965,392651908,20027215,652552900,913686966,118615328,227257777,419618138,953815326,756846526,233264472,342054563,664416527,611482250,854484096,561736998,761989486,677286696,621536036,143157160,167281206,89312941,777709429,408482171,390890408,482440859,124692168,719879968,89025390,522206404,328189187,35434296,572627137,991029685,279702548,776895973,9876657,565788202,447514077,197033880,885458037,989022170,446595750,864524817,528034778,411556343,71614192,54676925,323552680,556135055,136341270,163841698,461389803,939125218,966704773,267522860,78206032,265287992,344132602,953381203,727947419,41817615,537340429,28250611,790920680,302978134,412088391,902044525,541491185,409946345,441896808,996141325,462060441,713599039,388219739,850350239,843247554,809379939,974419716,575189064,977919734,444730118,456784367,411721893,144536658,991028283,307778864,260468161,365879479,77844484,563279741,654210796,587179191,319228929,279962906,51326335,81363007,13369961,96603530,305255618,929408128,24696342,62954862,354077693,956159750,646065652,312033229,148399875,29735431,194857909,581259371,718791634,821466022,320945068,363009081,388376560,902524087,970046595,737876396,25434890,861945933,123148904,524787929,820139079,401546648,178411975,243344222,22294582,724760992,40721317,929454249,989696470,409409968,88274116,25088531,208049978,19146163,428256202,49171378,11304646,607935481,171773601,169907813,987225237,43996943,900073828,989678594,238609840,763210716,12748270,708476751,185796797,411000824,108241429,325167537,418880606,448456490,453459848,74417877,541090642,133527501,850467049,99119566,693570502,648872391,902970543,914059971,371965039,485716837,776704919,1932724,385745532,637027057,291157634,446594964,362381406,756387150,620058693,949135548,909140216,776110512,672505842,759128386,537620742,413771009,284396356,1562100,74310787,991906781,986877569,618486538,202766360,772383624,741238125,557051326,427910167,7771265,493509546,519605049,397431349,137381483,433051556,779369139,81506627,286777726,357878319,970723210,789355972,744701994,875064057,336374858,465251925,205599486,154232804,495081759,489022862,186979048,342395446,814144870,223397618,385100995,509052340,99257537,736378716,881097380,505634699,868742987,511599346,841340314,128867701,503153397,195911506,18482734,133694039,974756988,654281407,876415120,540441182,324970719,384692994,703358431,762157048,937357642,448085009,231230856,430276557,357492274,323325321,951023385,124940734,453807960,801449567,883762550,467482065,680736215,250883594,996118009,452838162,320477335,626912837,254272209,584166395,488738275,195020084,623894498,49244234,16402197,359347888,555941381,298589956,2747088,672085570,128247053,66139592,282692755,631987149,743307343,318346900,814926266,455338265,626920119,519484830,962806569,847791389,242816339,247583556,800707497,82492040,375392040,51897469,791702332,687225964,292209794,407022873,261651129,878583451,654971601,779559615,61510391,884625272,616134729,981265391,337575588,371177964,554251759,869694702,972594611,996440744,234386772,113795575,757878465,383706802,860490150,650173590,49193000,189605643,308753914,71738799,58737884,664443761,695073991,398733437,575063634,552339163,446491811,158031,598034240,382917684,412364279,424891441,921969185,729927201,493225434,394579586,34958291,1429084,122405389,877795273,186256739,646327719,984583116,840891624,651352169,380695176,736599022,801884833,805367676,875258580,377673859,582177310,845246870,297745954,304917183,224847507,208972556,428705229,763880164,429414310,916134279,466471780,138160604,71880245,430759800,621723640,191578855,156152718,328493520,504561746,310510014,774519313,955064932,614566373,694985334,547715390,179870003,711901567,253265707,89011992,388685341,879639862,238607138,473222155,383866529,46759695,931336327,602667077,398531048,365426417,535205675,883080802,126840298,340936138,259544605,123394288,929667634,409178684,345966985,928017780,369942463,251331009,811430649,587048425,960688345,958833733,166462229,365364708,466651231,390742628,422779221,922257414,34950529,73672864,852075329,175217831,960554695,369314455,612451216,359372719,660143160,651003088,857917924,156897820,69679984,689799950,240229395,579446862,355113805,850132484,374154159,571754436,943495544,100480427,314286701,116745163,307769372,734655409,755180145,735593943,117248564,591546485,700300829,124421774,699289020,281327212,885045743,100564663,573587287,935596833,318870597,527926115,856113066,661745730,170448698,2716043,299913270,369337896,973329393,904218844,302210807,391040225,490225374,703165956,154680667,102038706,418840191,171177126,852978709,86837707,267012064,752914057,580349795,951548774,173222691,840930336,863103581,919345714,565218006,332286046,333800972,782033686,107669135,148354507,633641311,294352623,782250101,649303279,418642910,921920024,35679201,481369844,969086127,549329908,522075846,266566036,713171038,879391336,711611334,450813027,84530143,845871351,501700377,464232361,229976372,601458918,787688595,197125772,946211631,402541569,762388130,640508428,649676888,864158036,621249154,553388316,510902737,849659232,813585386,910483052,125223312,97202328,799450131,20173870,747235896,69838558,901063477,273832429,507573977,95594636,861774,56039213,8064204,168339179,335091425,59014122,3881136,523115286,822513152,527197429,145110781,981351390,109468121,167206563,22248085,900429032,815015011,374152461,6854755,538010501,469981201,251729532,815416994,126911983,909323968,189961,135524576,911538184,213940951,292195345,580161949,210370233,987507331,806383678,99897698,145513002,112713544,135823717,502035923,377669004,455350928,164305271,247062233,773953202,312794987,628206085,875016366,752389090,67043327,167678445,469438890,916584249,430991897,679363822,173512592,816043286,611454475,202576806,977501193,113115107,407891320,349517130,465161605,191544982,212372635,796348554,973677643,480725511,924579928,800461636,703012481,342894311,803149977,11850333,759468327,901709653,790729046,627583597,790795181,402377613,716148623,273653364,190680271,695147297,73237312,787479490,223235414,610128116,481988450,600885134,729881300,113845880,762892021,634293414,786401357,551290175,624559312,499688770,765227170,572035531,55261589,629036453,740936478,797351863,755247223,273574974,150789932,992333268,814705942,979126633,517402922,989572787,720212096,827499275,480460462,768081299,920090544,667763071,867246369,734355135,392670382,974545638,393170429,639405609,707756115,351861040,188970301,599668924,10615721,550479796,92160111,423267256,725769081,949930351,911457339,898718652,908530926,820373579,20172101,426294579,928333054,92799135,851868146,53999011,736451803,827094084,760128328,793131917,493433917,433480549,527649535,738709656,476247876,614323798,671352379,809265123,945155248,679732756,463075480,340259497,216475351,889071472,506076389,865229964,375676123,372028791,424744576,460821333,672480793,774164568,89511225,972828741,778988927,137889305,456622983,916932729,447327452,344004444,170047343,816403647,318559368,343975886,698526994,854076643,370576978,831680751,72328482,641766853,852446625,810873940,680310053,503187487,644813470,352358451,956936802,55633115,447887596,10961504,805753533,570079057,194974840,742096753,743132250,106468856,875133130,75305627,128383635,64299009,163966284,734690384,399336477,541537945,913126669,323971284,501913217,988282112,222665980,603574212,616363455,464626578,19294885,573181697,12770145,398726704,157299469,832927861,298201802,921840261,55314702,379768165,623273673,358225824,137737060,375848408,601261770,39825360,143904299,56537981,470059240,33990241,916172132,962278165,645767208,502900531,476458058,252255757,314255006,464649717,621637040,156814278,905117098,927798286,8575462,901743823,541967021,615052992,412998092,299157645,451424038,203155041,643371800,637830030,141641394,935677981,351636082,358776362,14935082,534997902,131473622,535815609,923193929,431372946,976602739,75244583,226297483,653289915,214860546,59731520,731357739,969911530,407678584,290572079,170029328,369654057,806406559,417982068,358142237,442184437,350850481,144335331,149866286,912244085,906728846,788647138,1537129,869807807,26451591,440283200,763338634,412366886,944496828,69980944,905240645,915879444,488071615,856573776,706253401,319515463,963782695,257619623,81105417,804475021,87022170,417378829,771433910,717033546,13534790,762597773,131632595,409821366,550493108,93088920,732634917,549453625,659776597,357219895,791074258,575559992,765011562,893986671,307183690,551498517,505881229,200831796,65449831,503141428,959208494,327794230,694443148,629011453,101502419,39092907,536265874,520122317,959899432,917791819,952727819,347689025,401861249,354039497,416867582,599252989,278517500,556703680,687119566,926133829,309761979,845392080,571627906,470979670,528196666,406736556,122772456,376195177,919728743,355994998,618750653,336316489,420975800,258468996,732490980,482619786,684898765,277787628,63686194,508372863,513809621,724034212,541865807,991740343,917641528,219368964,440914933,676801765,237712781,767027247,752192297,73044836,528490481,307638918,521592507,203375300,875427949,281376857,209408225,676576138,566940657,292454395,229778648,971239873,22673933,700696791,97293538,224897873,617104899,650791500,298819142,110211749,457249451,550937609,750150300,368510305,814733696,403229903,700818237,917964181,613549866,821819365,529755601,571642108,186759585,157559623,847522534,545347846,203420610,852130241,446024699,295649126,82961387,785190815,690395725,30735895,462966751,688158193,930360890,51416666,131877371,323474705,978147065,398740518,992062083,64016384,797433334,132990165,388697262,535782089,665631737,430028345,520584456,370804560,567471512,103587605,321693228,88443907,814520165,981139640,437920069,84782964,561317799,227456699,378924782,342613507,324401550,276772060,813926175,786812188,75806805,821766479,866964512,677504972,718765599,224957464,696234712,549943014,1119626,4295143,485191252,639066403,412309310,868187540,699314721,237821031,745607616,835745776,238354600,914565610,341687931,579412410,853307308,981921282,807027513,611986484,516965872,352298724,184181151,550860825,222443076,238744163,631802890,485394917,513615676,245053310,304352674,971838615,354147204,747978063,643361117,992899116,927849826,921314005,220351498,247166048,218955503,407214452,636840370,367803176,620901621,946233092,678982481,954419862,703587998,94748806,796304877,190860328,74314359,202644626,515326284,145080739,592919108,786332147,591965460,535448897,58998297,303363835,847906352,3420193,629567538,298141829,24594849,593196081,9615458,446849982,246499261,85722471,662227627,845706452,622337418,382831365,87189277,740710265,236914280,995053889,456059864,754080648,103084562,30003357,442879276,986007237,758723687,920031892,276528295,715833810,296323070,619959116,508193894,655729117,357600078,898961587,964841827,88870735,775682533,188452726,670619927,827738427,932468069,233118942,164963167,675938970,4950314,516989140,559569898,77596725,67086954,742911442,179248490,410428233,409006569,363468021,304950353,159460457,548530188,323624337,963005534,545661425,391104760,747426563,600833411,363920784,217696418,777742961,680437370,437604367,982296648,426521645,168501875,118277215,869027926,201834709,812432563,446664055,541804301,68489281,192867368,822401059,756313207,59292215,685468101,906865494,616803264,465777369,730478070,254981022,587760174,824326632,480868689,675377034,483369244,349582234,190341230,915794115,902109205,38438729,129051893,707915317,263822692,699623794,945307517,90911997,215833585,931937134,339661337,741572288,93148653,642159041,435587550,100205119,219414080,458807008,357466603,594535595,490272801,400149598,494168048,533877589,540925501,972399874,423243095,145285294,187068299,387034447,964909527,601481645,952984989,666596616,322570725,434297622,806765165,556960425,661465029,766766261,125804089,146784966,899653995,782650257,248043484,865518856,36626833,947342098,474458224,987615875,343391980,823573042,717625624,567375650,355798339,669117488,345218178,760516026,878923570,459541908,705379610,7722037,615542903,652191175,814517859,217369080,723839775,936342535,576149702,625699356,286343686,809301793,330534301,572024564,589843692,128326619,349185088,341372679,741608884,291806932,948571051,331690551,444433431,200017005,418668242,771462147,616029326,993363945,259876385,474317466,73659921,312577667,326304427,226026957,199497757,31830307,364918276,196774187,865430938,487008161,96281391,528363819,883123081,434109174,644309487,316346535,393720432,403159736,221122808,773110548,530223608,525077795,615992023,139371529,434590348,192920888,456840544,564098510,583484305,172022865,996876561,939360269,133592028,352849144,573114237,678534547,523014578,546842593,443025510,270644963,733418536,679812136,675613930,486818448,184182297,616352677,283909631,294064513,129071863,452491230,784019465,309035247,580166448,493575773,847878765,912929634,515640414,437968451,950770851,207747012,890403899,428262240,777974637,672211477,254291171,939059274,373137365,672558028,362628606,532920806,562801434,294303574,552594581,329831590,121634390,241605675,161512843,832603966,790717092,896568550,607555140,582668262,20324200,965536098,674520257,90048388,177898392,449655293,806549973,139429312,344616007,584122270,897948818,428090666,968696822,98677102,770871844,830058405,455647927,14915562,437929185,251099108,41101722,906958220,462106170,103244002,323588179,807926520,179399550,346938861,367612856,908880898,755014088,659691279,550797723,346295622,689717974,762785805,857348544,39364365,383161479,473496480,742082874,164470430,261998395,324643275,859828598,302555439,838911257,413378133,779137799,98843516,762111647,841414002,479099653,440422399,612096484,884681986,866121453,306074567,468161592,165287413,644171206,883771660,624852437,670167851,186772747,459166819,93742025,330557563,687819274,759346994,124515248,441186941,374402759,983210839,198956580,369180545,372696833,837987381,133905590,857389011,568653296,428939178,706562311,750270052,614095101,495020364,528540479,486168374,524690002,556130547,335158420,171899407,643955516,874981197,436284450,874421660,738304193,25380574,660969543,93341695,124711506,709174443,480880253,590646018,427574424,870785575,210289757,496070896,342956192,710716558,778210932,892143742,975370742,702030625,958068465,817390745,140507940,944669382,143582684,648445658,348648350,215832589,474190720,916423588,724617393,845141973,254246412,465676710,792018264,676637639,684951783,684305261,269461242,780183205,453319009,441268693,446424696,610550643,163066690,379352852,411327023,217979986,333200756,690277563,81532515,976130775,620318179,932012733,235940295,293914169,375522726,41795270,389539434,35482917,211767960,446303398,238826262,708771770,262698499,587412991,713102606,157853215,724144795,998939102,108070001,135497839,903388101,31651849,59225509,209455720,399207182,565466726,854936650,412323316,852458755,40439983,998915014,191531520,278483264,764079364,581648195,953497307,291604475,834637813,581167314,178081955,60390354,574790552,487924115,196172911,536352210,563914308,102112196,10348799,645340609,150521238,817853825,952732275,647672026,131685080,25277208,66544651,689753698,842897587,66441807,71094596,194543540,236725077,439309656,743232355,910267017,693394393,535946244,862592575,19168637,573940598,720561298,646658400,153618433,347817700,702270249,388041701,259880841,279684710,907864649,532678117,715114237,932905567,950161866,206659151,180025483,54528147,613638734,286152956,819436042,733080948,527611421,638724307,166433970,385188716,266901968,253451077,535883828,101905481,536291461,357568171,118076976,377939214,842038996,669584524,63694586,516660729,797508677,781106792,834599809,291281158,50269803,659373786,152335321,922142887,404237707,403587865,514929638,740131381,3327192,36403194,507274999,730004196,408697266,940768104,235990453,885665398,652159941,744079902,605976956,919217253,121047170,646289097,649402600,255607054,75158563,946424366,26657398,265745291,700299958,750214173,319793074,622625792,711657319,208043016,932507070,553208261,697826269,137766942,436549774,414315679,390968491,577395990,783660906,880509046,652410337,951765255,803348612,904985613,779935957,215297436,937498074,396362980,408697936,274416080,705834391,897441158,301251179,788125671,701747980,642458818,730015977,973632440,446601537,779972995,274055593,430918414,221150292,545629457,532637121,876935368,267339970,166128248,353485258,347002767,394172600,977070405,317168357,469259919,65286725,33065933,711609132,897116187,592194233,526975465,573187865,105151866,31775909,858714750,984172943,524361845,154811593,482165171,757986537,416428736,990873610,934324595,288734673,424825522,744933007,341927732,451467001,260818881,225733614,162020538,353603743,852307179,897628644,356672001,747688483,637911562,438148187,30315031,910963564,313346834,396769377,936953785,909393725,90852711,51148587,668677950,45428592,533080765,181617029,944181156,897542518,63928150,91061730,198725249,558993206,990036031,483300575,734229685,775349131,139726420,978817644,889261653,445654929,254783037,370583663,931041872,775869117,148166093,163538349,146501153,759053223,962866284,108826114,279207399,354098530,640117666,654019789,608412096,33872273,176627795,592998379,455585726,551347360,455952508,996702880,953676450,978359142,670680757,38446394,860557761,696116867,413152486,19653148,728274246,878846622,891006516,663249068,750738966,462144374,59849115,985261624,34223149,3322116,542260157,716435367,936666940,86830597,183252022,506944747,179819820,652165361,449980215,735564719,622153333,991113843,831026352,145182192,378243716,218009246,366579589,127374510,262832888,470167575,328789521,893536504,838859045,421869731,464955148,217107166,270757149,160469953,792919303,290944885,988553958,636379958,381813513,662866436,856067383,426344010,792937030,925249877,795016604,247347706,246125147,481446197,859411347,441538284,743055232,806249446,942994058,660920414,875232020,521852865,238411818,829036420,477785901,39531083,364407971,683919334,686107192,988693199,942623990,874738977,135169554,633403450,605135182,221391782,373851738,497440681,693229043,947102545,715436535,121736346,57030487,697201505,827634601,704837847,534157544,833083251,922913173,931269674,625840410,732648365,616837964,640344968,793576108,317703604,558160210,662644415,977478276,752816044,768893658,955939790,229028091,400173853,255657730,524899139,688753474,574440838,56028885,834380837,614147445,211438252,264308822,201010765,608829827,191100378,264213914,620390071,44655692,573562354,891253980,771032721,939106391,756871703,148227694,883157938,714597354,477205227,348105343,481588650,858869927,435927489,186927619,94971384,915213291,191612723,463005138,427669073,299382405,439023133,577681144,538486318,803960570,924445323,975867070,274741954,941956590,581949475,778663009,925476802,311582564,364437012,112161165,611320684,205107633,903196336,460105232,486796415,299468461,580764958,509187510,904958798,573826224,33615961,808624920,476425608,946203630,423160925,170651621,343350371,340117036,634761606,613905077,808609569,195981449,813732994,165651666,402278760,240293715,867617684,665574769,497617376,903290635,468547911,871973176,881311045,872198259,570821250,236026264,955973941,462240408,655584089,802088784,588442512,884110488,284003291,27252668,934178593,850880992,402649306,758806912,4230385,126849913,719883663,586904968,150786409,578967691,739717166,435105571,697779011,655392329,564613405,890132963,868659399,526256846,989464652,210266005,977151928,601898335,944951157,185038220,266864791,553226086,863648577,412554418,246080954,215793135,776359632,368369028,887097467,834245265,381709590,363951506,837130534,233996763,969166699,197516762,768682526,109106629,976224362,493689293,452967403,524211383,284497464,492142921,729075941,914453972,249839049,251850344,436779343,602550926,191914902,78719506,146082036,939638985,187201579,594026891,855399916,588442139,730795588,735523188,640918499,380683545,46915214,236090048,280524187,840134159,847760698,665178772,613474793,973846536,765305092,498664780,614139091,747069935,774197140,415251063,862768509,941640757,890733013,497692552,878891670,722043192,156674456,403298741,959572738,231315780,719646566,580044422,881731997,568378624,1822002,192953532,689938593,218356142,258388363,834296244,310933577,549062802,977530624,466926369,381355610,727695204,111295833,839322643,808792739,972413907,255517591,651243686,864973530,427918844,599936705,474371771,234148085,733453810,516665280,827795423,286998370,413818033,335493669,617597938,845175400,261603479,439949659,824817984,33641855,357894688,524024403,377681681,333490485,833502133,527810936,40318220,222333019,848175193,787166308,45134399,311621057,345168188,117507551,884588008,759761204,931930042,395662093,507187010,69856606,741294645,260149189,529142085,927115771,877657077,180150583,384793738,649196080,515016561,595401089,141464331,876318585,552283251,744672153,411835379,57795082,914824885,24866123,779252898,788518028,127709066,44273466,862382875,508723445,118653821,732610078,223637848,469062110,856819368,127743381,476318711,726005503,299266754,439518630,482801314,579704545,215144485,436184676,733250649,612576765,296704572,127069327,229625556,735078709,837599291,767604012,658131117,122450160,921545432,928088576,995079064,265139839,325763231,67998704,503953611,64862663,594089219,578368342,990360936,967206983,221359463,711453520,307250973,834711227,366262296,407467876,292093158,485602936,155426395,927133583,651552664,796478220,735807242,378104811,125981259,537235833,743030553,410302637,643955992,836582776,348459924,825792374,134972929,180364137,929634780,551877011,687252934,532307512,431982838,773649061,424802560,859786707,501973057,453071073,516974686,311303155,470117095,279809406,898887826,341887508,497105921,721812197,36127152,386001974,5422689,311697120,485648135,436278945,763699118,220012028,401352288,776575990,784995095,994804357,505458780,453259226,615389309,405102688,419077749,470512484,476028243,780302676,947958670,137009761,478769847,941495598,973265567,131416498,296970993,310920444,986255409,293189052,717883938,900368610,718768900,702127171,415645416,38821437,219381030,519856885,874103410,651517433,149152555,697853302,642095682,530242980,56288314,181198923,216750728,950913353,830404008,379097009,641405697,342030421,856031472,46817319,259753385,419621785,821356552,619009270,773566973,636947042,402528045,271516121,382714694,736832199,702220402,98523748,235799383,725979940,439527895,556181708,120837251,707204458,964857663,480787809,534029115,755836154,242845923,139837588,112443639,638773094,482094500,573311261,351279132,717537887,138783410,27104480,477901771,842633310,375624537,194104425,427760078,69202265,114112728,26266211,194105934,77133640,927873763,737321237,762000621,1814917,499259980,383640779,18441795,645551287,744556094,17395145,274064807,993589324,904117234,280924615,776151300,901133399,968225909,520878154,435573350,221342586,342916689,885045887,838976646,131548116,32589253,640533273,879726696,787636235,918329165,330418205,261824621,356940384,486203168,496641515,372806035,111629347,997580302,706861569,784651438,161047836,384861633,168984563,764812380,898550359,953476125,574488377,91786380,695483994,75531842,810317546,651605251,813825385,410961018,279810806,958058043,839505299,163875356,358565724,600568367,950104680,338418771,510854824,964144855,69938078,685159670,193104473,708125434,101892293,763916659,256595842,570631267,749709852,744368125,611338098,373076560,499665070,16470545,509617371,173594798,186620012,454197245,243702064,150123519,915475406,639107953,982444818,226514576,848282327,584066803,493722282,145458146,518334920,432654444,994404875,453764660,931548103,397801051,129172422,649770340,776437903,635182365,481833878,174269705,121220065,892982881,940836908,552399764,781330612,81969297,289489220,184801737,819938249,739504457,891986657,512490655,127098860,114137757,268622411,641878511,257280439,599583844,941446282,651953477,886213733,741735104,748240707,58425920,184791018,750893285,242161041,737863153,653186689,502252299,62491431,171841085,516033450,383026658,295465705,444106878,132943665,741554068,299682303,728167112,797735415,171890460,281288157,912049844,73345136,371665964,823411011,987715129,795441664,189175560,458161418,381184664,534733599,662554586,699997612,150351182,561479255,363519188,52994453,614654721,197948118,327551194,253248852,973192133,18921555,60845509,238548014,491419350,67717319,835455507,613313178,301937486,979185351,630764427,634465259,420264582,353136927,389348292,322210730,207909993,220610119,663182130,820459285,466386529,532974565,759586479,781778759,779308873,532170743,38545530,200069043,425081724,236186273,403329553,280372118,371358755,313281216,335711440,420334240,252594289,773798000,905695395,216655363,725453698,53356868,756380606,129017131,589622348,769098479,821202176,67973377,108258864,168371074,735218908,200269778,230435773,570061449,170114755,991027506,382192920,212050898,702451073,325634824,729390567,284139786,683351192,360637140,302013834,832632501,150504301,730390870,569373370,363210065,941978202,893699648,27318117,625143273,729558832,486330817,425312324,952253566,735378564,617999820,849349516,503360170,577518106,872502600,577688031,5076409,116513635,14641227,274292690,98644854,864950267,880282719,668835074,17881418,454697185,417490052,504882248,624750555,648028252,663264684,193874946,837802198,210857128,234784718,103398440,152469452,179472947,903137238,885143031,79737250,263133127,820837251,70252983,331647811,322319818,866712267,674403955,787697573,724271417,770373629,699432122,36820690,15386780,461515721,688851905,338818407,976143924,663165094,864753422,813774348,297297374,331859047,297408912,414900879,536019873,441829737,169390375,111942973,404163579,613039082,530461043,187547351,406697126,463023528,212770409,328887524,251923494,358469683,811550217,81117385,850665308,453532100,72938807,526079783,683396900,719158798,523036848,506443269,234970069,509684349,555771756,646540286,517215025,420261368,670354701,393251001,344410319,728223135,853573232,635796388,510900182,267225351,231005780,408862946,441439881,92609755,336848574,452490753,676237937,620442301,633159199,417395502,325465279,512733730,196075292,210556641,973476706,164487954,830781561,269335687,132438796,611226080,383874503,708836313,218302143,938945258,207974830,504530451,930712628,838596966,82046607,233003697,514220651,3554774,664612505,551961414,53127673,427558017,508138203,147567732,725225819,820142926,101147612,944377891,479998955,746541463,502999706,876685474,494453457,360224346,686742351,618803288,506100753,935744223,387845770,324427966,431806600,379748599,46584157,333681319,966527079,71172044,895240504,113686915,95927267,98108407,137897569,937586968,274660675,679415772,330368509,300236083,144945842,906646850,355117213,122966914,29778543,620726304,382487017,485322479,162199921,195826647,58579132,138752515,185751192,480264446,207849612,361946557,690740525,457462633,372561974,448343215,998634406,180794150,170316435,382331766,234164308,925657668,57908006,202143127,226667495,930128495,10560171,219459170,548907365,167435111,185117180,45178326,814113847,420301405,273860252,88617055,464101933,41742367,200425906,525489204,249944951,41884718,116020631,172853579,272730438,524653761,69202444,317220855,977658107,800055895,945836320,95820807,264883763,22435112,704640804,237366891,735694719,836079657,951639700,118411183,687243182,565674842,769002623,644181535,580160775,58372187,252328246,33073011,124639096,768711786,182279821,115244330,324617838,106325743,192202093,277845316,156965512,50436277,595370818,905738880,895521747,381960641,5210637,913596732,965046229,476300053,288514212,180623403,978712085,547298522,291932888,344153563,626948011,30951237,928589422,90731791,30731598,162587279,254329841,449074032,24247783,238758510,730143087,378616552,836814003,516134756,919076939,409472200,559522193,684631848,298189360,670010607,711847661,562580658,913146887,903132777,451424037,899179908,573222908,833301365,686050759,738741194,918165190,877657102,689101420,425197131,648319513,565759842,808784792,345896437,927699140,366794747,19857716,376698119,427723193,386236036,16190677,20219734,330958568,265391712,92427638,611057362,822181612,435906799,223406965,663433470,820200973,63526235,664343937,889277419,960287874,952559984,803497840,505698084,446982712,751757215,988695047,476992629,471860413,731727448,861516700,312521099,937876321,202959611,154945674,504921621,987692601,513703517,443642825,810018924,880478190,425740672,162432505,57757551,463848691,670044131,346526921,872807688,411760602,28904300,223102761,267363503,920198539,669571613,285404644,355945209,952571881,307960657,400760673,182652046,986954919,428522501,384052251,493335144,741562607,239377070,19075719,596217627,245652204,27799551,78053192,503467617,249899637,263448635,253861492,43482349,828240168,264673222,587889296,215938560,936020086,780794180,292931016,720739002,729462791,689765076,780094369,832117937,867226678,869801392,660697261,846170840,228558100,805195896,446850328,650922326,670395057,362997640,338811019,701923566,293546883,705829872,578264711,177573605,58158622,152758406,27631199,769246639,384689734,259049585,74640990,837754347,629607791,564214238,11885908,498763370,368554027,466562214,486654238,391575492,211188139,384354633,113723560,107183249,611757183,514494191,627564049,466832597,330375085,712885677,112700136,968315631,710217605,47812067,15614204,252821325,380811094,736300635,898755207,584056832,743148697,164674891,962997633,4531066,625696075,157929179,612318561,69418176,631734951,354034718,886945617,847045890,11147749,908476317,407392922,949122110,521670259,962677413,644301483,987697464,474372772,546397441,87171278,276962397,953078850,692063858,979696011,245795721,545770695,109418193,2282981,956569853,102002398,16584297,308428934,241477847,373427239,173067174,517481143,496422269,139313674,53575763,844731466,21141915,211731812,860279308,420019073,824843242,653827551,821744919,288726010,437317701,171112673,733850223,683704464,314494753,935622461,178221971,907349377,228936606,947840271,387179999,605607633,172386986,678430853,122694514,703713670,327743437,849424962,994378559,836728356,999507722,1229502,755840191,675686309,711521423,953609955,762868996,294296790,552458502,28463974,877957574,981837399,681530028,844545779,491312219,760637540,534056819,276266232,999162046,358200297,861590872,86797383,457992630,881858085,291703902,807281247,104766569,893791035,765452758,780211709,757615389,514633606,983113938,357747035,473061031,463099281,247171610,376263899,196023677,846505164,496608355,12169123,69229721,729980990,646508162,542681340,177503270,593031613,255045913,425862028,989090479,206881675,943344368,263826309,364231274,557839469,912877263,105150758,92075323,267739931,655027897,590971719,956716365,914793441,325627264,516971843,338718249,547012386,729036749,459188665,751698676,675897848,17799477,746806809,167879173,391702765,631248662,726838615,552751237,98878776,988854335,731479874,542022282,485875075,208245877,860338208,424099898,366000671,315436789,462840812,102185313,12160776,563568459,322810553,139748039,731574569,892084994,421413746,907123754,883466045,858813181,833476965,402234046,772016813,838065650,35376129,162163188,545401993,789326840,769728975,827865695,434644425,404972906,198511832,342926519,907975924,970560189,537611857,702249471,598037689,980861088,251589167,803119424,2846891,268564113,152580563,715429500,416187271,530991847,189760281,428516915,981190469,124436687,518550002,855848234,268447037,98396758,668290149,294263633,746702464,390361136,738874923,515205471,507630237,854789827,368676892,611776697,53197638,868449384,861071016,371297756,431966233,434491103,399323813,41609314,163860190,956308531,537785841,518258366,239553555,744162462,19417191,494881105,821811871,848348674,889439619,777921357,210495970,691017866,311714362,200227105,553509321,433146933,264204608,178249524,679045509,323040003,26588434,88433112,609515926,610607633,551059,37887998,325047651,288023187,826916456,606762897,544318701,933785886,429848619,50615073,524293552,987679703,894201319,686683498,984231906,796988624,208283079,949600402,125610847,561999085,393509806,955379869,898756743,564993113,250603597,209033135,703560989,539862740,91982583,832091282,55069238,667037959,324944034,757826702,72035536,512662146,648782038,982966333,722107796,853252299,538670303,30247660,109760996,621268327,407978997,742249454,231670371,640551217,480826811,258729477,375270825,374435764,549460302,918043187,965705763,278514890,190224545,485682937,958103023,634087466,989110283,798856263,522267858,418979005,552350001,202685901,537707523,671089980,583231166,762474696,660693149,553456002,672142372,978111849,849717175,446961499,307523872,401959523,195197216,112462279,583601730,124845085,520263558,72746746,757408511,620009097,747613266,473814775,880845870,765658389,495233745,79132337,546932791,487818748,322966466,317072472,622395416,512051122,292250817,682612048,545060756,365431487,388727174,703642881,760995813,425344715,377915717,634533938,973806952,943846150,901969040,508971031,281568276,877798477,827126218,419106206,948776376,706465063,629450652,393916416,892035063,58567591,742427544,582880486,687595264,504761570,753426498,47775941,772040444,892762426,787789937,306845821,354282772,14340084,933482015,256758134,802705063,293492880,504502944,944916758,982086186,517083592,983388001,458065086,185999274,563457506,47851429,562771862,379074271,308808185,582818313,20586668,568036971,759516635,946010930,138123628,391967643,263679472,14124939,521912347,500119663,972226155,162294369,309876900,310392233,268014566,939484804,363711823,176934521,466256763,975188691,426078884,471137948,275344293,752769331,370555832,732774487,273396370,371458769,121267104,996268913,383978781,924846692,699902681,187100275,32740019,786503852,653878766,360601577,231127073,416711780,320591810,164195413,780711788,663923527,167845725,874248225,504991221,269093010,555778099,987195690,757828240,9799418,284075819,502296268,732046390,234302155,477335298,529714257,115708595,481872482,494133374,651804499,732021959,384547173,594834401,666210173,576818238,102583926,2209342,662660364,833590224,899530781,294600539,718864584,108861642,123567929,782104369,418616077,688847920,881677806,759027799,427432850,900973898,615333394,456823278,941511623,495373985,904695534,784980784,166540267,140005838,190448620,126455143,529678251,266225088,102125054,908167889,713300497,539097021,774509318,226376972,254828021,390315957,930293056,548573780,953232027,321999562,41893464,244054356,965985452,255328575,455763078,290808415,324331829,627872972,760115082,792219243,684229157,361425133,409094599,413360224,908773574,908182749,906802070,593448035,929952985,642006987,797247481,453122453,222219200,134221386,676346726,239810432,488668559,338671914,74847683,860219618,556300333,201343644,620200396,605610248,439393004,975189003,852945797,882493430,403167723,632430485,827310070,66331099,485563965,680794849,33393896,199413435,823611720,461994814,985465812,234139753,822275620,413773886,899770542,416838461,353227824,293692472,355996058,244797623,559389854,547969799,618035016,237113755,619743832,765228842,851997359,482874363,467963613,686488034,608495420,802245606,37115079,215546627,382835772,394024578,539742375,900303311,596250941,164761089,710765986,556905255,756906991,130785236,106953820,292378272,588996642,399417706,988052102,322838390,615545556,437101618,742110695,901146289,2396696,665990282,467035039,693993519,185229389,819753238,37208189,198979406,515413732,749629188,998770955,180887324,971120949,270364126,302486644,927680896,610020277,476453799,845093000,401915378,157182227,428555040,514153582,507326039,252769312,788573934,854757304,987404719,760960230,41223488,598326936,544808458,847168392,754522181,816435525,334406502,304000060,78924016,36062429,928236452,82055602,643455064,559770434,153156216,530037275,43150156,448709235,331743019,544825171,213921104,758707904,591958609,863003947,367311132,589768401,632279614,939185597,96424785,877634668,710615236,842509108,741656636,191152801,231916578,94134553,161772334,682695945,576386598,81738590,592103094,41432549,469295586,241382769,611600302,678710175,86302353,635873524,478950129,844452686,592951878,87291177,531618942,24990031,763710309,331413969,226500692,699172942,578075909,782323639,966322731,20465812,983311913,353914373,34153167,233962546,871798468,514131855,163863169,783816080,95609116,724765926,767456622,769475843,447179277,989964766,94394724,106351878,922689174,355738648,613201087,80522221,243003276,916740787,259008542,442175409,849892996,684673729,708241560,811495918,430797093,982484634,635227579,76243807,377764804,882110624,674482374,73091243,506669114,187196705,226947529,747903259,969805273,490059869,622729311,842436068,828804857,771422871,5496022,27016887,510304469,769988150,609505730,728949621,795815331,351715104,899437137,975529856,496344280,380477277,589406129,215454519,229614434,246581182,3785419,434581485,228417481,915364997,259698858,650523392,53517288,832931154,502017243,680372906,912679000,880614871,24461072,109371892,823124966,747120143,165718363,369565250,909820574,962552423,254888769,254754065,161057203,814853612,811894158,328207265,345929134,308606899,413930460,215020652,500708047,85060520,701333138,941334062,549070761,647210527,230685452,425642460,411233299,370743767,576208659,91893582,94846448,808985473,518836707,674195172,33464417,906725379,767391783,286861514,272839426,11746602,588731190,277368308,155618637,537309851,314140754,778441682,291050114,304094387,23233106,473489918,701944968,559084147,187734814,479967399,302865816,121907256,471327397,881429358,374038993,339294384,195764196,180853916,173790276,117357792,754453352,245550943,168541092,199644008,790793312,530298323,8149649,194943067,203705246,405409838,833864027,259546711,830487678,71308711,932660241,391489591,64314538,201017173,408888829,571689907,608109129,213142189,187556901,724112435,968908580,404794093,562441672,18796688,570334814,884514830,706194846,790983007,525663408,461147316,674854390,697811914,515975831,556473882,847340278,944592807,935976949,151704250,939165909,976801303,369457122,497645544,799692776,122181372,177269010,11165548,878432962,603937241,264263068,8049662,559968454,790561620,767633792,705469566,900538717,632901352,234694832,480446373,60743434,275992242,469708125,310989722,414217982,615541804,945684135,778797833,363103863,331481096,527785120,342078514,70137782,109243013,476146576,242767304,118733112,699367056,487804039,870383645,146000649,247152838,293172931,756823682,93676137,432235234,414829630,100473934,742887035,245615000,80754384,712934210,462811021,4387005,424427666,825262328,853651728,739550006,158733218,806585426,530709463,996510056,76971967,23836743,606709071,146854763,319453962,822560168,931333616,126839225,192672486,362082804,607293745,614513915,442226691,894905574,739249482,314444081,479565653,972098920,681563309,554620394,63032567,324938465,61775838,241927429,24621109,649675707,780033422,971591742,775973045,708665900,724482436,151536589,448967041,425960428,796163191,658217683,294765299,961841758,362766324,845028032,914946679,38863298,420502568,151142541,148967020,696354287,127141162,330701378,155872665,86542461,761136122,343862251,754802530,622573186,76116541,189133809,477064851,672151089,954591041,12148293,611036659,802251856,34636965,390511427,152458352,892247857,102174873,582648294,925502793,207859786,716810973,474860926,622214286,352433255,780291505,371440826,514190751,864815662,963377315,708225093,632626016,224227561,675002274,736225296,303803101,375115941,527797813,398571869,140707971,65508562,263858434,742391539,877225996,660520899,436964977,995755280,963093221,774416127,101439545,93053207,81327771,771287211,751602942,562832390,275934095,67031885,244017873,840478552,987745382,878679679,529849255,315727698,601930411,806699349,188662893,541725797,525697554,910749402,415801279,931773430,338040234,625362851,21054450,930217034,517067462,35094233,280314225,639009355,16610148,471683077,990318834,673467015,654627912,681204790,568470358,3275721,507544362,865852236,780493100,360057958,799022192,452996061,819167934,963529955,755414485,509086231,429286351,869635824,496965347,392644085,311669820,98151009,322585299,802890425,629537874,698371999,66949202,720744877,455503939,522774814,967451586,791416076,568780667,196198558,355754692,139853739,699698000,270025945,870493967,764892998,797855201,336374414,742456298,105364077,564650812,340539018,817723186,461395039,485296615,283030674,516243110,273954635,93628619,314624345,927007181,91078051,35811065,113543635,953909578,463872970,74137324,427843934,390016313,954250740,590846031,56224069,619947001,248170530,229505271,112762624,52327156,958671586,173185727,33434182,907429447,374533102,618284798,813073253,36684935,400374527,250027692,867835084,658036532,521263783,49657575,823207661,307669676,827185987,289838669,743114491,258547572,611145908,856955994,187039507,275072952,334127223,542541913,588475997,643995554,58808988,892905162,702463021,244901239,413969414,79119746,928069955,137316666,1758299,523372089,927229700,184577751,979935516,255700825,445572739,887513746,61245967,974000460,119088542,971723750,38251196,957543271,675865709,511630283,934530055,770053146,385936605,970836480,762441713,172754706,525310745,975813720,673337697,67826910,354644027,757007674,434063363,69962198,215484767,349363867,556020201,309370059,211547309,470187683,980278195,273551953,225526450,347195111,324074081,968883024,604574330,480247607,488856405,300131985,385406559,235404168,935105461,252090856,153942105,145654327,560096523,954250454,220762931,318385073,437856219,746892646,648689391,847800099,557021488,721046832,468481402,753545236,685255367,410463861,503359539,316397383,135183942,791890360,205838571,330009131,170183562,131774767,403671510,288237389,150456033,674298471,702888413,867804392,804865826,804270336,861194453,336723517,782642987,810900535,250382297,960890590,797542532,837218870,1297932,918820186,821715818,323439457,687952616,167811850,349876995,208875708,702697579,531299726,206359553,995861686,394773340,334278960,324374068,884829043,55329137,916925180,548545051,666309738,124113191,630163422,983467265,145785821,531899458,169328600,521249328,38219508,807697640,462456533,306043249,271510196,979139651,660730147,937164731,847563511,666156612,623548164,774609741,242940102,422015211,62343432,950583388,481478654,55280921,119788579,797513655,778029217,303511320,630365034,206105413,894229564,968543059,530985204,537337405,739052488,870022612,791105773,563075580,238887483,292617918,659483405,211094360,815499557,268381042,638078889,819145630,978221858,3825003,503340613,522845087,20324663,125363943,688781088,774254934,274123628,937323632,935774928,456933015,522178432,559999049,776741863,728023652,319226909,139098043,528593252,942623703,434836019,92149996,38808868,242749501,455891009,4679590,934302790,774708459,533182532,353365015,878734035,364778612,548459861,217595880,992188453,246437359,139758794,308056385,814540610,261733653,271899205,327378233,477550861,538815366,507414235,428998309,468398593,744757386,596580891,323639509,315108064,1881848,646828538,474016274,283665733,833937549,782033391,107529582,46945316,909548044,282419797,185821824,737310550,603944615,205459956,14130861,980191678,828734954,532961240,897103475,370713731,890035125,461570905,614760924,890444324,521656624,521217482,485569845,225967854,939635405,107279603,586818519,462517332,827536442,638530612,364552633,486380894,690824300,833874427,974237296,548852134,712099161,686279281,262251466,505390446,385121938,327271037,163245447,564437903,980507272,81615410,186738302,547371362,84642348,250446283,887795030,59213390,53190142,220936973,621203205,896145292,172794117,92005215,599388484,104748363,901499916,543330660,929069655,683202729,614207801,563225957,317304262,384477004,708843389,417771111,553574742,916263684,843618342,347211450,6147215,557805358,570616796,748354181,30690314,704547929,728173655,492935874,393408576,23420650,186069922,598815484,4896356,993567653,473066803,227336963,265966443,901854031,885689145,886536214,211256492,990084284,931524645,261244504,849974770,666430550,223903676,137926498,112083877,237050585,125056947,268954505,434313469,760541439,890084951,272246441,902534027,86277101,11794624,175778533,206498479,552786026,919570283,177803703,319177044,188814352,330777833,594971674,821365971,743754515,533484518,587369019,41872467,78472830,93633042,610150823,511820162,302162714,682953167,838594163,229777757,725091108,36572315,487219210,227271604,951153915,222312804,437135330,535683934,116202300,980889229,433708778,342499338,968464452,181921493,311872554,110921213,251361624,570761107,756255454,210348861,411197966,485680502,237105005,752009971,401125584,442288338,8916532,390698571,980068945,350927640,907230138,755026628,661468693,368737063,505705556,281818952,83595774,705428297,284159909,807516705,714688692,153768971,881307846,290370145,894360541,785601194,183141401,107056880,241063013,770609471,585022526,681047941,336491567,960446804,506951022,902688426,153131952,386874218,697227559,298054014,456047900,650959681,161574767,223875391,142496599,858270187,768962166,451177575,630861250,263450941,72923171,516003017,381637198,281462592,204064896,322522778,996345078,683492377,149857820,173001531,640387567,537842786,334754471,886107288,557859012,491198634,546177095,868119927,464764044,968926828,264326786,243703631,240009804,323325307,268505708,331512260,422698030,280667748,354976141,347521186,697917751,744377988,763229816,507173039,2147778,457449456,161021627,411798902,741077191,116010609,73559888,569874190,25099322,426558898,226075450,199733066,334158437,418197059,532561766,503606677,796795576,86958519,724415401,272566913,471440340,831910426,473784841,996246378,531233444,512141310,984323692,172457845,600430472,634819816,354179562,685323675,410519443,903852612,461321811,798427589,245726717,926342178,53259148,554505154,690172804,559170056,500374661,537543923,371748860,560049475,127680732,472455847,887053227,729711622,225964042,295455124,901062628,748207293,98760916,792207893,345468681,739955702,871013796,600213516,734072615,656849783,343040085,650784991,272818213,547608880,600961373,965030886,688780447,234581519,323422816,574918836,26187320,32503029,945023208,455161239,295035213,967624332,220900406,806399696,466666402,649860872,839858299,475637827,207013658,558130042,173029660,532399450,547134683,436590747,105361766,170493017,859547631,553867931,777448375,141290537,892515981,916050746,902526432,942396097,858604024,872434428,895913580,519222607,591164655,294470303,825915325,890204360,508078588,184319281,396476074,963018977,572945463,266660098,63251443,815109410,512283475,201883589,169670695,354720353,855934783,733150833,991818522,27146105,125287075,81183275,537593932,91445332,128933850,553716479,106532481,565191510,944831668,920538211,395534138,17286492,521989367,497736012,248074255,850743886,887368872,854611601,787138180,438413901,683772130,810614503,946364235,590594144,161566516,584157595,581355088,230458689,389207592,443467898,32748080,230217643,735380034,340050583,142060767,337693089,911569346,412087177,493441053,14597357,896922192,787246655,897198911,317392221,351392438,174601312,155010735,233937034,350683226,850893462,986270620,453369670,935692959,640059088,471833725,968391443,751849720,968220620,370108412,512804256,352144473,486784834,707312254,799998821,415605720,740548863,506867681,421744618,695682870,947582260,217827826,795408710,158730022,550694441,446213728,898994121,676556769,577159139,795680435,302143135,98895144,839627751,424275016,988479824,702301075,947690928,812307172,999541396,825990799,985895560,474484227,49325037,266628579,286553525,470491939,108344959,266722075,428477914,203834760,973183088,568244296,309014201,595729051,750779110,330069844,725856232,744007986,331554312,347620480,522342448,870968147,517365713,797355460,878854317,322003018,316306081,915618317,174368790,188436388,671768652,339356884,898665794,880097511,33248942,198646739,616013043,466014887,333667220,246953947,403497563,271301345,179575937,785345544,895343940,600558127,413223040,915924489,480544171,980501548,365451331,753486812,987695357,465166163,153412795,927232996,754570336,236857283,80618142,320315880,497502158,647385818,984024499,934191494,594239466,610557012,315316249,217067017,119990541,37767371,304389837,279499894,661489010,744468998,800577758,284296239,713744177,167449832,720429055,951813511,935817281,542870902,290108730,730157190,427408773,29601323,314494523,589723272,384640418,238074859,662845579,99595375,185997638,721910692,848230238,788144593,554960036,359881670,422774743,353073140,486193883,414977,760927324,827880878,543599425,505403216,103902956,86946567,17187296,629575057,584450670,616306608,583175966,816700548,608429450,671366795,15305067,726144321,361682457,169778406,896009371,922846116,967666279,493513174,159746682,862858243,998051450,560391272,404830298,471324647,598478541,616238513,68460332,818140776,737691384,775472092,837506632,426274771,510798465,575719627,546899665,790896891,484088816,641330057,236274650,87973827,895190935,796384490,491222298,107890622,341402913,783208712,311934958,310264280,164664182,95773880,145581932,117533555,884436903,258209036,266404281,475404119,178107221,366408737,765550934,508585579,14093314,776686831,873373561,87316010,351448073,905239440,134400141,495131915,709362102,412355202,198355346,133963713,597608082,644807809,557880682,732716980,185490700,483669016,242496261,8473137,86012355,703181578,959051471,26168147,548176753,953346957,323557382,57512516,800248964,167931896,438793113,706808451,742902131,839432961,778300657,264333558,834398202,906018162,59315107,935994358,337157776,12229093,229285997,546489395,133186787,41627079,930176646,896086917,363231092,515477027,86016778,296222361,948758985,129173254,498820812,651846848,27762241,671481724,897133061,432492067,713966727,21501759,146130974,597351003,330044048,679023798,471026200,421270727,26738047,91713480,242498027,600446511,864941630,478393829,609765950,23172157,867202775,578505744,118635136,162639057,766949265,426478400,883412487,738917595,422585110,872121928,328776237,691447984,797778291,409042637,576482254,556358025,885663700,731775222,248195929,417933582,715863157,55214187,84730064,943489391,487442653,422611310,123861483,271319595,459396342,111513360,9818520,330583625,172006001,449606909,11953680,14055192,872933695,645505001,689596711,362351669,613085060,172737328,74491876,122560547,406299574,123995054,988980403,307636880,461082004,492221264,653282666,648863555,743169134,74581,300514072,778047461,600695166,831903615,644461226,220084660,921323766,628215248,366580134,217174016,369807348,460810108,227304645,677896729,262382204,115093449,542991559,12051190,921655400,639598220,881216520,603618509,858260321,107740608,172849750,980971793,177895223,258699886,977903546,161055793,91689890,107942022,741454461,423677916,80622397,633538226,861043578,5931786,741797402,229151854,715566248,940997139,431434728,359423523,641672767,364401314,181710415,313803800,330637877,268568669,24835594,125200762,982622031,842211619,166645200,183834827,933016478,182561468,853784279,83589622,733400839,966688738,973085289,504402553,564310402,938062408,853049793,120670379,8650963,409634281,171585178,266305940,861034735,273074757,139950229,783352484,914839742,199458783,542623893,723972435,612427588,404476099,115710919,407134111,39273505,832458226,911484456,916464658,287738464,132623746,594691298,816688259,296789997,423820629,626728263,349064719,541755313,565593841,213672377,835427092,967071132,674921214,992563026,892895220,368608573,272981280,731432274,257414570,211384802,620501852,798613797,688427381,197432640,648572209,996076564,554730956,149635991,999522484,88470959,536964137,577796722,41712649,486430968,814170030,79616212,732883647,565438506,520975163,139340539,529294209,849460872,793190478,104692837,507137108,960321856,735043509,106547471,384015879,414942814,949836453,621335232,68579284,214245468,38229859,814806043,634241053,33958484,851669574,710834089,970684618,36010420,735950564,540020159,361182942,850857470,575407382,703686989,174761093,504329977,161901572,873805829,306467173,664442538,347332349,486544101,609692974,814284833,57513717,9533641,81705988,758626768,523354250,870181062,8404349,857632805,496616855,1127332,257699134,744563839,905325526,942153852,353358252,369694408,323485178,840435806,707846341,351742127,87679053,976746242,520387857,522101018,695762327,748028375,702254148,287668408,146126689,831141079,891328088,114202484,405046932,719701437,106867465,202589889,582220335,520765389,320439994,858608468,294435407,358119061,365497019,976330745,338373372,184170227,764675846,81985696,606309618,984671341,381800794,14446589,407039690,439584185,875690487,647819610,10217465,298306723,445610350,545287717,304725489,175369636,9437755,762881626,238596546,189873409,322054806,605810045,639556543,296640931,399446777,980701428,448567513,992760366,121242048,174714249,286301788,659863726,921251737,887708694,187535948,949334311,443670461,574667255,203398709,122589627,277686449,324973422,747475028,167454242,686742745,611577370,833118590,145850266,182899024,844359801,388064841,118025003,246917616,918772839,675617930,247898145,671083257,772972641,178870299,676547307,897187392,127975225,238292310,621707025,883878537,548396075,497851722,222836218,695724003,246906097,40957495,9694532,799887214,212096205,185214379,301498944,2854866,270265137,969752936,67169381,751587750,866796778,945989589,330627943,836282555,958755743,290080320,313985408,824102217,252376860,67833988,375676349,369427044,498466706,208016586,145430733,703763744,105512964,504847124,136372885,715448944,232591332,376653431,614538231,873112598,146828883,52789047,629270424,445772125,715957947,28333023,13135519,747265654,677177469,735156676,290834844,345205166,738667246,658263904,52728074,17219575,964119570,63317945,518321611,214660222,392676553,194302869,212712345,797021738,780137090,425292755,358249644,335958560,377861724,623374763,361153274,167203215,170529120,898070823,342916063,8311326,283958264,2597051,785201889,570871907,223534269,329754131,149912364,327290670,498653315,552037713,519857485,541452787,191745561,438107303,676068105,233110445,521277312,774720307,546327672,486119081,406404949,261500811,277683159,186029009,244139753,722712416,598185534,461891374,209847247,900495746,428089659,66139717,482851415,653589476,661332185,868795487,356432110,74098736,934895058,311271217,451874152,995587626,146490735,326898727,398116319,337006002,748574216,766523465,836242668,622457363,893506597,644889143,62803639,632357546,866937468,66640755,649064094,631836484,875414291,252777730,20570701,997916288,1313668,958281703,120261396,799288331,995480629,897995894,217207776,838732571,296921066,703100116,347319991,847761710,558003157,31000073,198027514,112007736,476180547,940345693,464240823,191416525,311996002,702673010,127931283,32362875,41863684,533390265,188307887,611449319,630260128,697107869,53459235,685760341,915650098,505235523,630158590,202296127,655962218,365852163,482074541,546030604,175764456,772120329,265580746,453175126,854417933,619375875,244208299,490057866,248306047,260763127,628331454,228314448,620574394,182416821,264765422,234643856,648067444,453767218,877911367,656067465,591299924,458991664,187445786,977140702,424605170,654301427,426769133,98996722,316027688,35812836,588611890,252097144,100499182,505874523,451763399,699865714,759810202,717147213,926306541,681478726,499558484,506991866,163989262,892229609,490459661,104342870,906333259,692552918,31381101,667326140,51542797,96186042,662866156,141692019,411153164,153884841,186013654,867782989,221524407,612543447,208094298,432138886,699438357,875118410,482187461,37904849,543581449,95197679,60845037,762267127,880982829,778589325,825699241,603902891,316649854,737190552,871904608,11975863,691981549,619967668,512621793,442340,834775781,473722923,392755647,736039023,484168370,496991419,178374862,47524609,944553624,635396862,215884576,87967276,215514839,731662519,817206489,165052899,492757719,454729963,542944813,471942547,466604816,783696001,491654676,724946133,273231152,777618424,723644813,974124079,757938257,923982207,817211910,672787968,920876462,370994171,869094582,149790980,986724249,459053800,992649043,9631398,47558014,613634475,993080078,359404180,979832059,179829481,879375630,44794252,315976251,189495793,40861178,166132035,480002298,624821077,73620470,461675603,32233019,506807824,229455900,153626685,165103541,556849003,902001288,496293880,453496805,926953759,551666033,87803073,778074938,713683682,173060137,277153627,869121414,643902530,977224037,468990113,202506010,919250514,224854050,694705317,34599535,497679923,434897586,437715602,728959902,667709295,857833872,739342692,352457204,963404986,920863026,880241455,812505550,668994484,87268628,155348589,124682042,846869964,571634470,269568081,193933065,532085798,123063390,53784367,663088649,286340874,371884096,12618402,498491700,365077666,731722640,368250882,730541183,453144951,889152732,270227515,683075092,371760801,114638908,729022100,591414186,787191078,302145583,707409230,185617524,310257687,190915026,160913996,977246261,752203108,562935018,876370476,831336668,463059752,588496735,323687166,223673555,778345662,380547511,108114109,354334918,413598472,565939557,545320951,984731951,443401622,236554339,588727123,152519495,794649706,416372414,553641586,718337504,844497094,954013028,733964363,901956930,718730507,600151081,385725307,538604431,97109342,185129852,515632085,865684108,170707280,201389346,406255035,744716416,658310652,647151063,320844976,136313108,998847345,794974943,473329464,128582547,68284186,104017659,625224098,153675619,569829582,344533053,352884166,762526937,591567781,255237547,229261362,803232131,926313043,995459481,170757583,172122034,710604885,847917192,596288634,317527908,553673153,717500836,236015176,209182362,619656602,792279212,125293319,116113238,990380315,729657810,722093457,806415996,965637988,889457557,260813214,887685829,347743531,667453751,436469243,183815509,62997319,95387341,943344756,975324566,450363232,316273985,586933932,354688622,738351065,945587022,555007730,2920949,117423790,525989256,737997595,770716341,89167331,172803633,99079282,570827044,809203759,245060801,708840255,757155662,681361818,67528588,943606858,405830545,998211562,419036097,476982929,41421386,484303004,992968858,487612329,574845572,61257842,786788568,828236576,121330728,340133707,556949624,427987392,508652943,152337231,72883014,726711142,9829400,715495738,159607435,739469285,151962224,938279109,967586649,477275918,795830032,303537285,112826462,578939910,77396520,545694875,277051612,995456328,719987168,219343957,738316723,680584830,478519951,195396578,437915410,570478968,266852062,867656780,839411293,53327157,942122932,205044322,871754649,242607505,421511074,157584246,713019738,986844996,797044593,506235278,258861617,351196972,31157708,906425816,666672905,669900419,742251220,169766787,215323254,147927996,821679433,593964155,20288427,853878897,846818309,341915903,49462224,300582491,29350845,838790980,785367930,436354997,864747451,340524133,17476205,678915474,982499972,987264116,531797471,426820244,922016904,28480355,208564618,20952203,445982566,26401613,263603659,278925257,796471355,608365309,990948166,943141039,177706200,194621507,30900939,760407912,392148852,943225408,77357636,381016650,113840434,911701665,937276256,97718392,792609439,550566821,811045356,183921153,489488216,302839728,512122953,312531996,187380120,922937142,877214887,179863093,382332279,324622832,639288239,775118275,32336219,194407472,674109170,957025036,534773565,287117872,108046857,47085309,10444692,801336016,625978948,463981254,203161621,630881042,911666797,819883484,512086274,495117787,731533279,536298217,928008617,79518684,18060023,545817482,237626439,497139473,226412137,32553029,745303391,537941102,430831640,156388367,391620792,541911540,424615660,89636531,523643234,342090029,574395973,902239197,781149793,430303597,807846448,671875409,621025076,143407751,870323140,989785840,469443714,894525582,308194537,461169160,692543884,676453958,82570980,500442873,414831936,232289587,174222811,570290728,528643437,11937883,34859115,183069108,757068799,106255641,359043106,63009636,820284152,964790179,567026528,705107656,97490683,722478176,742468780,119386386,6263646,486806373,353410620,425570801,987784380,893981307,284356697,220951251,990180862,522805321,333082783,284260700,880880206,155559252,433198168,162672147,452720442,152734218,32825083,621729054,389568252,55840199,817347693,642301378,612826120,890172332,120844306,873285093,142265004,706521379,636530810,65369693,466633023,90553738,390889661,900361748,645693868,564076214,194405790,742352191,346281221,798018058,656631046,376885399,792841398,573742602,744888783,392563991,262937436,806034033,320936175,278351250,833341369,781326456,600985722,31559230,60692434,724364285,98316725,111564567,271415327,872660154,685382104,192628986,803100582,661616772,622158709,265116082,798443641,842094574,849641439,382213839,653648249,862563369,701171657,462200257,209980843,101536177,58464470,831884903,786502928,54724551,809144975,960569577,135537622,151290334,535424676,799428793,981736018,59034856,157445962,274099282,353886701,343086308,54214919,847414309,147599474,786270310,136660534,736931015,149272598,713652155,901544055,234872674,613599877,205415974,604031385,738230909,495030682,4508880,893438946,562154346,327249848,685999035,444270293,244060830,363674009,71976568,306219258,963767854,570765936,343897999,545533768,108922953,997517991,8938617,335691980,724480293,424488864,705787144,846891180,190743651,122549619,689937429,488748300,589350306,6619683,920438433,732738361,523148902,293995450,789135062,419198556,987700267,799504010,430220118,488649091,548065604,189743406,911272724,157040975,517771053,515376559,330462093,265220493,791194806,268776926,466382067,684611855,291127556,798706381,818736774,613464919,20188801,633371909,19797366,109511422,829197925,108317494,407738696,552773242,918200949,363986215,600989738,648940034,96234495,165958295,422874207,348001100,434866815,887083640,867607826,418685281,404043422,405083189,330226694,73136331,451380180,828733392,661756959,497941787,610384994,809876549,212298030,677263480,970993009,772695783,276164284,159493403,777649013,137691506,155965125,280486179,319875197,193183222,374205267,829219886,543845460,6549158,465230973,135213568,843355994,525611847,708253565,470679047,288534714,586451482,377555148,169785422,80207536,183240619,413452637,235560919,608642566,454658890,326342128,784326519,238285593,65287890,764052029,294567482,954009461,383857942,665885668,284517193,650667901,330158496,226862822,704085928,827334939,294926835,994356017,990998806,557661795,484315225,176851879,944818681,408746667,426452567,141354164,144154414,457535342,219882441,806207236,465740521,940701936,578278904,42844891,897384433,463667753,228589778,788018928,673331276,555556852,680722830,662673622,755210646,507883788,317345515,540235829,781966258,300553258,196551564,827547463,604607690,621920104,819715257,900133875,114566754,399920272,667557901,385344417,467350622,77826766,861629649,267562561,883682141,700556938,134872821,704588485,824400765,464789122,612899275,568423450,471107468,132691879,512010438,981543447,644508246,70919730,414710960,460590871,280186740,712225122,656216879,558495249,627515036,322336507,871013603,917830761,442006958,489369424,643554128,953457164,129293097,595333048,826500583,195252718,88481792,441343310,712015544,892943574,449644429,291395066,36375651,118928940,507736569,652140307,321810422,341074870,465975677,608209372,419868874,775396166,954562288,808612817,455357047,33423262,625147835,123499759,265129659,197239711,769921346,121895762,204155779,583007527,927150141,824138772,139581336,128562649,801831347,212863832,91023278,649401206,10858788,403202490,404416266,224331703,304263854,991663140,54463723,1350396,502105211,112842131,680530243,203443208,317176081,42965120,459701564,742950580,387029178,108974027,956538427,794993955,915830406,997823024,305112005,926738149,697873172,864710782,778635606,542438724,842925410,314037794,471786227,693933003,979866995,45653513,924163427,531326969,85168860,671808450,43026369,405687812,797350440,990481516,749442743,21820073,913869935,51196137,846140988,437757716,118141850,98404895,718677519,803167933,836248489,285871685,893985452,486311253,460688109,809568555,558884177,78091530,572770209,349817474,103316189,336605963,739333950,473596816,586923798,397263439,68366843,736171609,9896287,606710829,760812979,720430145,358461373,342959635,948360856,778414882,656559339,495764335,193590346,2428080,173863195,596520112,593919830,745000069,573510753,490388435,222342342,498199141,852398885,953959478,725521717,616739754,646479695,755635060,328364295,403774235,592685387,825278071,785553012,851737237,59922958,696414576,516794145,366136190,524111286,470317698,169027366,779788626,249767635,585794410,9685797,754962079,258361080,197414748,678457798,597938900,703654990,851906390,243529426,150670733,721174904,276125680,410624383,314110494,904821524,967516774,10027762,876693565,687507118,10058215,257010790,928680683,565593979,426748405,587494820,849879175,839214728,569119459,551821708,947209694,157926070,990773546,391816609,609504119,407104886,45185136,592194922,678913470,607761016,2402684,559436031,690831125,260888219,587069808,611446737,831472133,229351684,627909800,455467187,215238693,161373532,157563902,172951800,932179204,384988029,599129803,109152873,946244148,390842889,644198945,958496350,379544060,217828568,763454400,835990756,222982114,559058520,766438836,724903609,198017501,318003075,856743472,78035865,774348701,785815897,405321742,50863605,951330605,400505372,836703567,293130531,166844713,834930997,508888233,747770062,786519280,539004550,356573,907526778,108593752,932200053,749556654,781252042,884018857,390268290,400620784,798931539,311517639,990326536,233710239,13076799,541295366,996936297,770691103,229973728,494973473,212188248,591057755,600424972,216164356,125764944,196991503,306779156,444407886,724670399,517693030,846959109,679523850,359161667,190938898,512251126,525727374,940525255,816507575,149131133,132646795,33531419,848950472,283798221,60341477,568580629,325252769,359402252,47639884,264690508,568664163,921747437,983914827,258722185,472109164,652510275,961174508,998282130,464404875,535137016,483408886,890222639,150769640,975480658,644514873,977049458,166614520,48687120,668055325,541601550,145050228,866335683,47870041,660081669,261884702,727883743,532670987,895023130,849992503,132831028,434530810,598860058,556885671,68615115,979056927,62789710,998049084,160435900,965283439,231856699,19399142,707004571,164276907,195122115,649386377,606610183,920306370,31414024,539905211,464558503,595065575,388533699,972054699,72148626,299576358,896502506,298028824,256518534,435738287,387368069,119609117,63613938,465821587,884113995,306659636,756078249,972660565,910723331,268574953,244813614,346972466,802538206,301593293,686483973,74824719,712175624,261078966,467651853,905134655,517138036,860889415,20774929,991867310,340014765,285211732,283553643,21609975,777637041,875454021,107378446,751998218,430733437,841339407,309724450,629807457,294260756,885156099,288745716,574105553,952650268,990592028,995259089,704454643,562662697,221368494,816089017,264060454,993851493,216769489,838450274,394508154,289011992,267442880,755091015,201906252,27092052,814653409,843837258,651032778,674523695,4586429,14729173,587108152,657993056,601551606,960608064,243519709,141870918,132306486,737354518,257904027,110406073,300127237,163808932,97272898,761577268,537587390,10985269,216293762,916511649,683403765,828796272,430368462,260855102,947197990,648774467,848354024,62531051,826139529,924408071,553311863,106971644,670031673,103278138,316007451,131327027,253325447,670189906,58522489,563817168,578960803,726616841,802799180,724584761,558436795,758556770,445916466,288129443,907120828,816720794,484689074,221568757,996085297,81822605,673252950,60962074,85393929,444446537,646445999,727587946,245122141,791075602,487671319,777334627,606338297,589612070,691673508,339220249,377380921,515256963,269644304,351080425,119197897,95748260,190789455,674155158,561107529,635960785,705026294,627734674,778023810,573235691,54586565,821018552,980630690,426281287,567740220,650824833,448520485,722161974,988245342,2045846,575347644,951895255,881724305,796450106,705351651,370531458,979945991,569852919,418498391,699910740,993529974,477671866,373885779,941504416,678238694,51636283,286217698,782092383,55845248,724874559,908317684,592063925,914457860,986890338,996064428,16290252,911397060,531749924,602207076,93471436,884784362,585780493,474528516,749887425,942264364,909912527,490782035,889915935,340298782,290031678,531951082,825604151,849580725,598091052,934068801,878933713,386091578,963521141,388401814,102267091,687425736,383662728,130497726,477294232,433103918,839985249,693676976,709082101,510982133,894767348,469097956,386051914,572956286,943736474,101711970,426484356,748709932,878415844,266219968,753335756,885401053,632144757,742190890,206913116,890561509,430687997,702317172,405645327,637630542,777353041,256565054,956883929,50892494,700060199,662645402,735588255,609725861,465572837,335489697,165803014,482050669,345838643,453849538,180971593,816893478,12582409,953118795,456847287,903968715,516166608,252243928,974426988,532398518,345727946,502383650,71276817,460442134,722118640,175886014,197260026,359370169,75308588,344176500,743803974,311173520,741978497,425739183,917157,826454042,89198540,417381145,969280933,815286149,908039058,298838211,153156790,590975294,958623576,634052695,288238538,220086455,777564580,976245687,325446728,253696182,979814632,385361467,155266096,725756030,517799691,546950752,749332805,864240466,522425780,755189817,347921255,601744774,872630859,854756781,803342511,301932462,989105277,930960705,256527717,902899162,605683692,957436028,7350058,59729495,438847771,415562895,601267377,900167510,833354351,559641317,61952848,9012378,972002107,51138765,387429356,404827637,944259689,775125094,27433643,944884641,558831099,342239359,540716341,161925581,137661951,271390048,546307450,589245095,247997904,58463653,785414925,717156970,800800363,813856581,462080987,96091292,251370991,485685634,796983816,106780786,824432057,462912866,393917796,58586780,540738615,245803126,484802878,593635844,653849043,453169382,666091623,717285902,321425874,672045343,909161982,253420548,593315476,281995652,997770531,838416579,113166796,847497995,289492827,319309476,478462794,656094647,391023031,336167876,547202430,533506565,684143778,319275481,583468497,816686236,207992365,126966573,517299949,740692812,706627339,39173198,631951898,286470860,604333707,60229471,46913881,456530658,506975667,906853483,95174382,797337711,866374,354342605,420923845,739918138,995179237,554322025,446403117,197279361,589048353,195038896,923774424,278012655,727083314,208458699,21279467,249393850,840528337,482872230,379411091,392109699,223826776,411470659,574956787,638522787,117053252,286644987,20991028,868294333,191711606,610922815,821538720,29548134,619827372,973638217,456848489,283461429,49041858,154791267,757279864,636665242,415968974,707551306,273229102,794992546,299125491,269104830,761763211,467633483,404264873,58371640,528218624,419566359,352331509,781911796,87907509,748883980,818750573,963426692,654788889,292870980,646137928,176051981,174917004,733539684,376763687,314703466,344671233,609405900,153258248,881432335,592138209,742093476,445935784,904787853,135351402,205191236,480010002,385839685,259900725,82087553,12113487,283188598,791021269,349056098,677375237,735363686,292727877,464117790,737791707,230508334,733272391,218472697,716231774,158398103,326518993,582373639,198384654,564241291,543382281,966849650,564729054,879843699,964622185,705770243,606587161,463689979,719611534,947316404,991214022,806875091,201154279,867713055,405677450,572559102,120099374,783374507,34913023,12176959,731004198,313895322,182268469,169946136,77117425,451869786,29697313,291003009,552362992,30793104,901577297,318067465,153834015,78586009,282814604,920771409,659906499,387214124,393886064,733965033,462090654,76080476,849252088,444295487,881062242,197363030,455234287,643433173,486370652,11840313,76146443,200168688,888487229,416482197,560912872,991667711,497860877,279657051,369605255,296285933,65812581,411351066,631763092,712386057,806265974,573830163,432348571,835820314,152366476,246011021,375274753,987193897,838313476,22702089,33907558,262694177,862233548,388794532,807521140,110098859,947407271,501644446,662131540,528813999,321819750,64495388,272513599,330821876,611717262,590452364,494781511,449770800,390833474,640577198,21926114,723806492,31449335,436761728,322774020,166185786,898632346,452930780,18898437,980873373,330852494,503666734,899111423,20288509,948732460,904839207,433073407,712132115,602390842,114945283,1486443,342997725,305720488,687709120,983071515,84243048,810713207,346890219,335807919,687699677,852888709,569406163,341043436,418062454,24317253,270471735,550377186,831267743,288356896,624066827,257647947,221107356,518466269,658331861,173615416,638113768,214263529,168877796,34332131,220806658,138745031,223448079,761010488,405687731,379365505,268833778,278785569,189830383,81431219,275554857,944602755,107862835,987741815,711259363,638907643,184637723,668863286,113811351,523561290,517087576,241953127,169568925,313622938,940952665,32928845,234558606,879042996,186705525,849612736,937312987,860178309,393417813,556271515,67854383,571987687,952151153,487668829,616233927,979223731,316855624,363947989,1948972,398666564,167513228,236146962,960501010,807843109,841644277,935693972,351794713,60362542,796890,290615980,277354420,853593581,386870623,496729624,773028483,753787939,483159587,369053794,387213643,984733913,1528742,773636324,955128013,316086478,180275331,547624289,993659888,431270447,605101538,623184982,431996674,882911336,28337691,446229281,521507950,163930912,877124190,37953277,749133847,771228461,83203491,112056729,691499400,215017095,323103182,791254958,611501775,227842864,832641076,724761882,230383819,245044611,287496669,301601660,101610009,367589359,253972424,340462041,227624100,301471288,760165825,219133425,296011690,113514556,393415253,302909405,508899653,279906989,961090857,670040536,349248449,500298713,146698451,24285566,641515700,797952895,260738420,178435066,84385667,916790103,618124244,469194658,63671704,316819484,279134995,345373881,252071113,643474280,589949006,857940580,418180729,8614690,11757573,553066731,617146306,223040852,378496221,642700890,455712659,602926873,76778650,515467425,972372244,448422108,499620956,140679447,164171384,660381456,48611207,73521667,936887562,131972575,238965375,124507628,961491598,529487379,29260830,108976937,314336159,708748183,286950374,332380512,813022712,622078759,112902647,761167908,517823105,311775354,774037888,448937196,303157698,555885470,654215447,294620435,164380862,108556193,374966614,821536519,565482107,132762659,418350677,335509083,413220974,980952665,337330809,69018420,702685166,571031642,807664319,229307859,151274978,241499342,30798291,112493328,48314245,218410476,700561483,300190387,574291344,643082084,63767594,143900547,632557856,787863691,367795305,769798805,250102506,299166426,314408310,219287417,143324520,571220161,668929002,927892653,145716664,686775585,633646632,455985292,714734725,605765318,346424882,636055905,920669653,105637461,189198634,948198667,630537772,163162724,160335665,299157415,704084142,555022306,444571048,878075188,366918225,670728800,750372546,450963800,147291739,679612692,459726337,206553216,169391065,347226463,780526124,679017272,820478217,850742603,214951951,363202026,996318425,542543933,926305204,956068503,172916547,33318547,406530710,415571529,433671640,307441940,14421866,381148841,878111338,430705547,714944598,733164781,732949579,312555853,866794456,984998031,124615525,116548701,95456279,490489645,701419037,836772519,392913284,274581560,723290391,73581271,62810377,803733469,697827539,887254568,206373472,940047428,231035418,336340217,408930685,636789610,365574267,298440398,591603669,319686552,380160421,562863610,647691938,921754859,304962010,501291361,801010639,231845972,283563600,975076307,807636970,524986974,637661371,958322769,684328468,896324653,811480405,142557318,571278437,870284793,661527850,154076383,337573545,98346330,998654321,30992173,757296567,860633037,178026983,380369418,606634048,689564362,100895895,172414107,883416511,793022529,769040918,917220631,537817330,857664307,367522047,97238279,257514499,146588075,65954981,562487164,758095272,837204970,40604802,315833466,692243118,618751914,700081110,794997188,272320370,298368468,684131073,54285254,7079924,160151910,953384293,911959320,600334716,694351211,455542404,49556973,487912957,121293790,80084248,630487045,130764794,833167306,827154875,364026812,592445841,662606078,42805435,612658752,887977854,498847449,793311288,456526441,860535676,777813765,838313238,632079820,888622842,85940757,222308736,702307397,113925857,691273691,910868311,551426125,501465453,956304856,700143464,258074020,249334057,503129874,975207574,489396492,710626903,130865113,54040665,257875533,993432138,718718928,208558923,830656121,223997774,574651321,622910464,859674262,802729462,990823191,247514635,352004545,150661178,112603276,529561837,478901175,150269932,781755067,988386128,143874693,907678205,866605051,887962692,844748018,586922171,126095805,529575389,865545524,355364279,366563608,289858071,603932826,352793364,102210061,722458183,637547472,459701178,948364335,961708479,407821175,215297,837283264,599275545,58329635,832783705,195715659,786874379,394645448,141974555,882227487,11452933,676377077,62885428,901695683,487170841,61659714,278522202,494344441,757286555,997179652,57157796,123044022,928516755,97905070,403254385,817894127,100406174,339138162,67819170,688765388,831641137,953739979,444062523,974221416,938503650,847595326,165139021,863238717,796501897,424360326,32467302,646489360,840005125,680492283,475896825,968995558,253888178,538204963,624911847,16334582,282997367,84868736,117106794,240839808,258305183,810972460,275446540,313967513,338555254,248370463,612916342,685014485,148659844,959379871,584006721,982017914,477304079,481683191,430626053,310569850,49059344,327859456,805251075,648106282,483552267,478701519,994262982,306284465,942140037,452259778,568613630,633667783,274360870,480306923,19668951,761279420,12183068,304699504,208211833,241169929,870534371,594157093,573382167,439932691,912867922,522963194,511990241,691068143,910727895,350213470,969358071,483232915,754224279,777362189,740063716,240211228,628999610,455614724,115639006,255269164,605509468,803306358,450814629,392851302,259913429,875204252,322579389,25777491,980703208,822254777,566999923,347374344,84410862,248105291,464382494,585087802,187934200,655977544,580368884,348678081,984209651,634769262,169889789,724047535,985920202,976676378,821441090,662808515,715854806,110254911,440649726,883237228,422976151,431751807,180647004,535712858,172982757,454342913,858810570,562573721,866113915,28106694,560693633,77828891,268308097,875012807,812251130,671653490,314379010,846504430,578245610,336706129,465416207,606927466,207481092,231561485,974219829,250988653,3695486,329265690,664817895,228324937,884193894,844963268,592864994,285903068,237685909,757654534,557554767,116578510,962818117,850814341,673336609,592815303,757027850,396095866,786470310,890184149,847319474,810672421,383401860,404616277,946152449,794453330,420756068,398112866,143113785,890266292,591505637,326870539,352816721,279508253,913146554,86201811,421668,860986973,138476630,880556923,198078163,562962450,830772480,170769475,736929147,515144793,908963168,608313078,177928815,31697876,685149667,131243644,783341069,423431032,236242262,705545736,432699557,907649701,777492298,887952397,433756788,435921071,11975932,427965778,253408328,74388251,540842938,331055318,745745690,543906035,590635165,264439026,623128918,972092941,237939654,574027489,202667878,415848002,740326850,404383067,586872038,465954412,862197431,285169516,560944601,423300850,57323889,798600364,151469663,174173159,250609164,499909315,641404819,621209250,975738504,376679509,471654451,429960349,513874981,803106862,340434205,478208524,632401791,951979461,25520633,748708873,979368869,785846576,500611434,413258811,716232467,63618989,569249257,928728404,953837499,347960208,503490518,680223926,909701027,750686323,115160720,755366882,256974668,783007188,594327812,962633614,271201558,719432045,837991984,887216876,665828342,580579272,940952206,465967880,108253287,870320251,724911123,894211983,749559783,119271710,798014421,983603824,279314070,180398202,285637692,447472402,976763476,960768577,969929028,778444480,235290104,740915495,90886276,719965827,423698460,902318531,732648578,440361995,557937480,537736451,916130578,658112261,773733154,299522477,494373782,436582622,658040608,152557407,125719128,60135709,124581461,241066971,353124863,768424058,350888004,918474700,268636336,337682214,284883936,82575453,992058073,380140948,790295418,544772655,554838299,702024065,378534645,964105765,201863448,17644983,419280814,360021142,959862635,177521338,776032809,303339912,30630217,248955212,226747339,684122833,125823159,229621001,236278868,99725482,513878429,733376551,936154625,564715035,610397130,943225876,459114089,336756330,285054756,85226619,218664024,266209941,512986297,157881556,624547346,692976531,417445506,66152986,793629587,192435719,792901103,258795299,463861338,369134117,507323155,597759650,872979208,162260225,608778994,129337504,840459728,302235623,655049984,456699105,800540885,471693714,106495530,946841072,199529163,511333401,7868083,11064171,146809975,314646499,674049579,136184135,544340114,504580913,994857013,986404789,610761228,125213509,296825141,915650332,694173085,938427721,826876772,155957556,291224471,828339518,17934535,195729222,701860529,535992007,954588646,648283189,236001456,278261437,817368976,520095099,78521424,415901215,965010756,873637292,601655773,646015914,66034848,963865988,611941498,159673037,243686101,344486500,578557461,541873752,637297335,737759226,357000733,310878090,125797888,902610509,633498125,338650448,729801316,575272729,723383147,973826946,655198879,286611625,82508449,189653638,775923218,590100745,27024201,725773623,746219276,353970950,171817231,424313007,356674044,321024748,828605827,290823981,151646298,183733552,446992499,973820595,231525377,607515638,847312462,693270108,97645517,535879546,857667797,369495080,217162423,266775312,220198143,400155852,564305870,642263333,365483685,892051801,687169380,391288828,207777692,450195783,782129622,192243279,802457424,55506579,401088959,638421814,189901252,22510753,480387287,72330743,693083151,970738971,154310324,730725233,668944414,168543238,976272220,34736047,617491794,344860962,608533837,44260682,581428987,71101977,379630913,206100150,44910521,290426043,331322426,598860373,160097233,461051607,739453902,750362690,182139151,132172659,795734633,347677012,458733103,728457234,41614843,134782614,462619483,980604070,784411494,84881902,815825652,897887063,695763562,872254807,356939865,575767745,301244254,609729138,799949935,312695086,901200354,932358365,358549006,231916509,626737656,641063709,490935698,260316743,581193326,152665742,703660597,197236171,331354654,292375745,464570286,942714050,399771489,737907903,496028216,814906985,577462213,460391265,915419472,528275275,263090707,371870784,635734122,791973742,106130552,22874762,867834480,85183356,535447350,665764777,431706788,637403691,49000380,200430080,318273347,257060636,820968997,277656110,326287633,460778896,870509123,774293124,92781312,905728063,498001995,967021995,111850021,205593148,907570697,203800761,193746913,195972980,128510104,244908995,188000661,696827605,692888037,544271459,447183599,615212798,709395556,92612203,668917628,606385728,398508120,761476196,835331345,518300269,42431272,653185514,697672309,36234693,111228024,230098274,355694461,405345692,481226936,997976268,541263238,411712338,559961285,86826535,159916648,471261533,42754734,103491212,745436436,968346677,277794871,880311444,756280589,401052391,337278470,348390068,124391126,450890232,172530118,234593883,639798020,570296010,463121579,750161845,956442943,352841750,950188651,286993493,391375548,608829451,800731803,921491644,649263677,879001391,271580247,106889022,550928804,600421795,356261220,340746439,728207728,957081502,681245315,766426074,202587915,122641790,379024090,48431424,253063224,650437056,859280934,171230253,313074548,933752598,60756559,322818583,642641042,910785835,399225765,964324307,583379605,770739605,44020286,216795218,88541332,420402164,300450428,557077075,168957924,292327882,526483599,668086368,164118606,532441480,556470240,430837842,537921872,745102966,530547970,956361436,671632405,670055749,738860553,235365721,681263153,88322009,853719073,977170506,558632909,307951775,394609934,820538469,535758482,333552100,176047640,787458990,120218036,969673108,616410222,999000035,316419998,139771861,138205722,999035860,294986327,223255961,2828796,348244813,957373728,264159707,953569238,309819464,318537266,450336836,772794684,497819355,98110703,936028679,998708827,393860343,422210550,213396117,976020157,887337338,929016838,438662600,844405334,232761149,149412192,19231912,787760055,780074524,233922520,925472854,256283174,805917128,826409700,883750726,642402511,647444531,939717148,786628538,948160974,932727175,315313367,494867750,25780806,308448325,932477192,852501187,920714680,789646958,997649484,429542699,983661690,848370240,927807618,465416576,315829706,267393368,327773227,286046136,104222660,109532656,544987093,837766882,659388295,664984792,799887998,356813869,446861993,599422166,150231776,460848699,147269984,169508064,707691387,221104828,468397299,152637792,816174329,733652810,936648943,169431385,617537975,910632057,822775677,642332164,807709076,58459382,525660618,193642755,273061130,907204577,132634967,675338522,431213992,422852705,682528237,713612379,167886677,224972984,247270379,915387765,841075921,622408919,88184054,411179958,7663424,809150563,607687140,671419449,816579188,518960231,467849048,149245056,582455945,576489883,683021772,64959901,16003159,739601940,796906319,952081768,762049412,487547180,505107011,656963534,273154572,844827565,102533708,133692816,790693661,895243042,994190943,589015353,397794021,471634169,8640986,158569724,735843151,316375983,902484197,41644276,61052925,417920196,702870961,724006399,252523555,669411429,151461764,3282312,624619523,748304762,676188460,424128575,450440056,668245897,541773394,946595286,561768866,270200160,510182669,525574697,41051668,831977087,604846787,519905359,289127239,43209669,790220353,380945774,200261875,484629086,237421793,356260943,803743644,904479744,474431646,430209787,113617107,960252926,127867310,674136838,623844642,369623940,452287064,341405310,338836479,723773042,714201132,232588278,577870399,246832645,758069238,352596540,146085728,65799236,61416483,997437176,555628859,257344200,386477480,989008260,945435816,102823353,536009983,753807374,220374377,714903759,643083475,623169233,93855670,667702967,892874187,593256198,41943308,773301150,111328184,494043440,221440458,685435109,344384029,435773498,999858210,5724286,600887020,406164507,744304412,854239941,926448874,645823562,339298996,324026211,976295652,279489740,189480641,677194658,593115293,756199700,387431561,199788976,173367017,794147821,890455857,442386211,620574784,968349004,302680025,931649171,149906470,925336109,838918103,990666616,709744590,520683634,692090017,712355428,445629694,931434392,704787538,129849630,949623658,404279183,576526003,861563346,668193670,230122612,398974633,242451087,292711264,856862597,604530842,991828808,355869986,145387964,255478375,277873539,193974283,124196639,703341699,622484407,826680709,369920633,352447597,432730008,961055393,716859332,22153747,749823452,293992998,162435744,489537941,824827363,284148303,488000417,887585813,919546172,142760397,765263770,929333564,763935102,529340853,25337412,469496944,859511626,754500357,3871863,727535400,687165561,255766655,739007577,451139756,360433865,32172189,607435179,745853012,668610129,650039184,39715519,394017493,382791066,15102180,112670885,965803688,584876231,984376148,300252731,91106352,362851353,16622219,447962994,650733924,267379528,992729232,502115581,121568039,368651541,644742435,986176947,558574599,298356403,897754991,811898881,345353589,319102282,620509374,90972285,141240634,478488043,134418499,522068725,981405525,233056944,515399534,115408246,193153678,778373825,511351835,229209610,146595145,94331277,49080678,344313501,471415592,159913879,786644514,928125595,430353869,61378389,832497795,189779214,227202191,147892832,9445334,90434973,346877820,755960921,331257364,732668373,511623088,377654718,245619473,546031879,912232405,510445285,86194875,203052882,707569155,786325471,277247984,156809085,149453697,595603180,209068312,258916693,848920207,558107274,930893164,986843558,979156646,445568438,464014487,483907785,266384043,649500969,936505637,52135834,732996225,194055919,869898485,434848653,965002823,754609730,999485341,383122082,612977602,550881592,693856378,399997714,489050444,682341674,545530353,270444790,528891945,914293756,248404862,337525272,903530300,131060628,363111973,979300212,270750034,898205056,344050903,19638977,97232697,205341188,919643225,925985258,375737755,711895983,257341558,830183676,670443448,884225044,403159372,930614528,938977235,395985419,703405411,751339121,928049600,964891716,360286603,116932887,63665481,569018402,426350273,180049261,435077187,457160232,925171064,29997383,820732445,102330185,55732353,903496514,212512307,485807712,437075485,771584595,198858805,79819258,550245631,520591511,750658533,503989557,582565897,622855900,51208584,37280730,668256722,455042049,570597880,650926437,246689024,983562630,30223402,64623666,165405552,348902331,401437901,748550379,801850813,793072717,451113512,506103662,403463375,411806334,898710509,308099679,856026170,680694515,861918326,567610456,413877179,255478959,809390228,862292225,742691125,481818025,966600836,823780290,696509977,453900368,830813649,580247366,572614647,446090466,475828966,902711997,884492080,373587888,831675505,869264593,390826762,821015618,844360861,749958960,73154519,631831617,551274703,378972782,19280303,258688212,336400553,581887286,83590928,205311017,232980262,890719551,806217078,195002818,106241307,120964308,58428127,712089707,376607797,334578954,145569549,778603419,361254862,613000602,572981112,917038530,32037911,449474309,150582510,414338968,977170976,998017761,145738278,416868777,307566274,832480508,43416731,648958413,953993132,729302093,854887899,547995566,222797217,945186251,366513786,299532901,701698431,830551141,729797975,383338294,284848705,336563542,857372984,465833472,590474991,540893833,315482621,688410556,180393880,476497558,575161358,275562053,650945297,541915337,65329504,260842585,412110520,244403572,799295479,471410645,804881944,800826872,26399343,908736433,594768501,141355323,275850188,587661492,402460775,320122244,973703807,757216076,217108446,978509156,208763894,272936098,490820612,427281984,967657337,588986989,624041152,456758540,332150007,140886442,833732986,822746595,318937504,541452113,592658736,987331020,722314436,850974676,415459670,688097903,977259042,925148294,509668603,665434502,954149761,14407952,934300497,664956937,24694457,827387018,274844299,591470323,141935855,685011742,519612626,106005680,893974675,766068411,886246165,27947729,38955833,808436118,69178833,333200029,939071374,294350717,276800786,44267135,13227207,332257588,285504341,594266173,159513898,959754127,776932654,30195561,570972450,79556075,75473837,925659611,316618102,15113134,978954490,215257078,138071921,222199248,49070400,616341725,18910910,917588406,791661862,821126287,744643520,42703149,329588220,629067785,866926303,569817753,331162901,817857464,72127361,953558820,901746591,197011624,231000736,679025730,970089028,61803320,997054444,151376426,74777386,146805100,750884050,780053689,770588095,845815958,715082962,119451845,334310602,15143,108772276,641514772,113456808,447328919,47495174,175302270,65987672,234103146,841384023,706805364,440280043,182952976,950474942,159773804,806170410,325477214,624079369,620654306,187459014,415611660,353148657,394119687,870390093,839750130,954016104,938742396,70211967,13328403,507334837,353683348,7796887,967995150,111883991,204963090,301173137,79815505,347893393,876837677,751097021,752172124,988771321,277348086,355374268,254861930,561661144,560845521,145808514,54750395,250100405,314193611,966184983,887204588,937511237,824588782,133765341,569371093,59812590,377665999,397543907,880457373,938005438,536327425,321831456,257100194,417810421,5714961,682840623,333905216,232531972,757597623,862133905,792884698,88931426,648252639,101350114,518313444,276545567,517726701,995424016,78985725,645261743,881087771,296654619,758053802,102618661,321324605,985689765,477071888,775666213,800086748,248139823,149055384,400249480,236394269,630262558,72187455,941760674,582525221,984673961,405611653,554933647,442148079,553691858,93069582,129240849,855192921,551137528,654226014,199475103,803402453,357819550,153504914,335510006,778076060,865988084,111333464,401409834,85835763,908461306,632553299,123256907,855271394,657914048,732590386,284178736,680544768,532253309,338143553,325926489,596643900,43106792,581664635,674635916,775088009,796682861,314338769,21068620,241384226,959841983,895949673,532179592,221994107,952890814,545132983,995882220,856207309,294741480,463611558,330665158,819036454,84532903,477675800,82922575,202772137,208005927,141017644,359202202,229854504,105258206,376183304,837123075,921689634,614872104,431448513,185687783,886928022,515215112,59674510,430427372,30571848,821278230,607268152,55059999,591767773,364724400,434878579,670479155,179890774,289347587,985449773,106624984,234392497,503669154,995595862,294778918,924601133,486622396,533214973,341778730,261680112,44120316,726865014,440146208,661541596,784353804,403361707,532529348,918114610,83358083,366731962,363564641,348200822,896193576,246284167,834206436,722130715,302243673,773460302,252635257,21085712,703260370,424773909,229886018,840004796,797092300,553557318,736766514,30714356,116378416,687637573,271690956,599371003,224886066,214908184,88616510,23048493,587103203,349623749,587026576,122274561,690876421,898507180,726975974,586880047,443442398,834818082,731150110,892727920,628331759,96352739,987760840,222961608,207081324,11489682,651894400,915573649,238329327,734482479,822873597,819470734,596710699,850237226,533615162,282205811,359593446,892617907,898777291,227962607,646574965,145374427,64636673,950385904,677190826,432171331,730669527,190520775,36520223,621263411,281170117,461484689,22755142,511272181,184023782,90297939,370915330,998876806,260670275,476822894,698170858,517632660,872848913,741071239,254900487,76353598,459200783,4504209,229221663,753564507,624709741,598933773,867451265,5253877,428542832,65958627,480569233,230720525,692637992,507853081,479608029,979117919,52412818,493181480,271650028,193413719,324758455,929576592,806894997,462992761,912261799,393781281,107859049,338525042,54173783,651560100,869513118,73452266,415284703,563853140,622561909,366952034,226583545,764471693,937510439,347313613,13286965,629814670,690771093,789903261,330181725,387862077,830155164,139634955,423087811,176481839,2308684,989765808,937255844,619448092,62099779,650689611,552795181,975471620,642398051,555678591,12885614,717396049,875744367,370551934,9760077,970954783,239813095,294087399,373399549,120177953,283327703,184361760,921655999,767293702,570940278,942133008,887532977,264879936,330684297,317961375,723655506,533889121,711554519,295741407,518363610,282660952,79441920,862632373,76074918,848654236,38262737,780729347,90033544,271539379,295444098,655375927,566782655,912058790,987941001,109075188,56648328,406002855,886910416,94722218,12713916,576618268,754060486,582322526,670326926,730909319,354787082,595370124,801381067,741508536,230785032,332350209,768881993,876287805,924554718,404644721,205286874,811682631,35637574,691186805,788279044,413361422,129601226,438540888,242591645,854564649,31441182,205921225,891293113,239069087,766234591,542830164,859279969,778827402,749806678,737149934,838337545,572989151,991782783,886946828,909310061,340014663,967767955,277371549,476614611,579365925,217911126,164466368,386129114,878367594,628313461,510528258,470951847,489015301,511032596,215343818,606869889,556971954,161476743,516873077,301871232,274956281,518117123,400956560,874474045,274161168,837483675,27353823,881719878,820946819,52772873,154989132,255547282,168968331,493962785,662985699,845122668,815683129,36206814,692935631,5372941,404261011,120593173,256659963,914602373,423753875,208241673,122416942,771099370,8616572,58857943,28778579,874735640,148981255,472904965,470288793,719941750,144052766,277921114,805880403,304400834,411497938,794658249,257480256,348822257,508554451,830507601,922502201,529694504,570342193,673691544,376872291,175648505,240107532,992367490,125733980,620475641,183999883,680853104,835546357,1094978,118442858,138107811,319375957,330519266,561798543,786575917,625548102,274389807,388718867,894600661,689677684,214073837,715397995,854375800,256727462,481501488,549367469,710039849,264964892,709035482,639223363,190050376,823215362,867354660,279996581,3540725,598694678,986205418,304909911,136314600,414797475,896069806,178437437,149078233,770182643,72696339,606980316,600734745,303370503,906237255,692555646,631504662,428571334,839995722,798315338,165919073,320397226,613022823,314063178,501945191,798513154,705967547,574688961,141320855,695581604,26983228,519878936,766723925,66962587,152528136,16501507,257067017,822805283,496196219,831706436,446968663,125606966,364591621,599698316,235291263,219673360,326339592,819286434,91383267,346614495,252353041,245081136,765896353,933401914,804392854,333895794,710884583,288968379,850625966,845283756,229669848,417311632,728107543,379504437,347817182,876379016,46540751,636612507,626175460,30689530,26718726,782099537,115416474,526536782,945534925,866295834,946982881,741161139,181674509,736681330,601736808,283790326,807475405,714641145,253330047,86922248,567514588,587904986,913255670,978907158,916636500,622051369,9012220,811901993,634127787,835718553,249559476,227762075,893767404,942218581,665570139,422969716,149353899,728434592,950765367,117225484,376141953,124738147,126643257,397288674,28902254,37554023,793323312,717941308,400813787,573207852,131515412,498027738,841494644,143998042,355815509,92668506,123066329,793231345,731500136,137849914,803713927,222590625,287381308,622890502,746742656,462140209,563803362,975203648,228683350,677428113,56270476,433833629,968379084,489724988,920773204,953014248,647600575,430681454,845212021,148889833,101505219,519242807,385777029,20035093,259507344,743918999,897004432,58755637,939357441,471684385,667584756,813851543,995245713,681060029,526390473,78413647,508517294,200540919,159875909,57135683,860124423,73050860,220619196,698132940,173453382,796676147,115905579,16900129,697715659,672957913,542089154,945072446,546072422,313188917,860065558,316403093,778535601,589736359,820731525,542581924,802275811,603333649,934323944,976268061,968913347,52686613,6151378,952372242,355738132,383512806,60671115,72195385,511432203,536199764,47115310,282594800,150022082,975558157,946045173,22427961,323407171,286914376,117357940,241330744,463012492,178025326,877973228,632434151,552541593,391165837,641163272,827513104,859648961,897871284,351780883,98045547,881409074,947115976,227392155,192474712,459532358,391732006,39890809,654095100,909399592,273770652,598613915,615159784,757429800,377811080,401392020,19178227,35238005,179655553,222213000,407625666,437736133,456439183,615229521,800308875,310819997,581903013,9330326,55263214,691758067,174423146,612845635,858247662,798385631,248377093,153152928,241397403,727890762,853229180,232653833,939504460,599271083,556063377,259898922,811845657,182672090,376072378,558588837,508604773,21249269,348942779,146002706,668614479,249933418,798642966,359290417,73120157,622153101,253556052,681692946,174472588,23410116,604899518,29004904,830979951,406822476,820856970,226762798,412377213,381176959,80439980,774196772,481877297,335693832,651560321,287995299,900122120,146167983,19104435,889716747,209964579,873855429,258905126,284016264,752589058,260063103,316978202,684346652,337852870,70897247,621139257,445539139,521735954,966923900,587125306,505971590,866117658,184746630,342753231,319990913,332084903,476996520,828509854,33882881,556637182,331082551,830226500,397134976,723766671,955838290,273129928,745703906,801409408,291460996,685276572,372762268,22552244,997945335,899625506,631202154,618446146,158033813,420625292,833211544,137741178,500904284,64321987,391677717,134552859,610236087,271761510,477485083,993767734,702498899,744401039,458881481,933231829,609689864,367565694,245653556,656465142,127574265,474964864,812500765,574222743,430078838,712503430,109135689,32696957,464033509,296971384,678307387,796863115,212939955,196760353,217269530,340591819,865637756,945279395,524614007,596251980,840460889,535332878,509331081,651840943,517192335,414731542,414526147,14912447,979019507,116114436,736666231,367144379,614421911,881446818,231120825,295803437,999423807,41306876,960705582,404749368,70192944,447129298,388742868,422103578,817433179,476901409,642200959,652258170,288536449,904889886,393781271,115230861,812980356,638800613,81835727,430670162,10862810,21974152,954006061,656416932,418734846,115734919,393117764,997684408,626424624,472134191,185060608,339907873,690938822,381504116,705182663,183770665,993830983,296852127,247305418,143862511,248635867,610289664,58219629,620658524,353361353,391221054,740901203,534810981,703619608,514676948,437547469,547482396,634954630,208489258,413716799,612980319,420314316,175124179,991369820,180640866,376032854,760220870,645127817,998499979,82651836,379213499,390334411,606093962,474144499,825695385,708308770,671153083,513267260,855776148,73001709,524471048,167085771,206025163,356698295,239557525,905762630,251574908,578073864,729901015,636856275,545277257,113373918,542729245,211121351,632526324,320324411,645680144,343974933,271396592,140060561,186144998,682933842,454416693,349604663,519520316,440480428,872261916,912294802,84845457,187574246,352584348,316457578,786567106,170800071,981443542,484709569,557053012,884455753,818879971,429161836,58584479,805471337,319605901,465478180,724653622,596453289,942454497,165267000,69672129,181351431,804907248,891141655,38553341,541177027,670264529,871424609,774053901,989449680,562317737,932889368,802794754,318267530,754637218,246498253,177925057,793474748,779099779,718362906,19295457,719451149,890091034,413398170,628160395,773951714,331681799,218964370,222788257,274126944,688823795,525923273,65931161,182911384,924403742,896496283,573138594,35133413,224638811,276648495,412440904,31934539,553027875,396576893,895328657,889172419,728242654,609008276,965670833,587197008,907948850,926016254,587745191,53140071,991899464,107974377,341571676,884829464,738135786,113271860,748839933,892941348,212797556,799243895,702495664,438892201,773245476,913816992,199236016,641396697,521800514,771718398,215485187,647611916,868325057,365401036,365155320,665597608,300310409,10467437,48340637,720702929,873688832,846484154,818731006,965628892,677050676,415512828,462558796,799260918,552906357,28023185,573057748,702789965,368050786,557452887,505153270,887525045,301779558,103378407,985272285,690801538,934753144,893135092,828841165,321090555,257103356,818583261,53517455,564872971,694629448,393814342,25825314,9951261,117612353,620863431,196038189,2052199,467618956,263829156,739985440,552953672,587776548,326519358,652998884,411699260,848093554,296975511,194289024,808273556,512203770,707914426,180661818,59699859,65236686,142120597,613111269,693233113,831473064,847574716,271961446,442165809,836843132,752879704,910171768,382785027,198886916,168902745,349960731,408630548,720137713,307690238,330463607,272922104,568979561,516701358,592634057,711832515,439804232,473120136,881639048,374364123,342368507,326487709,598087268,657123593,481790913,651894534,245273770,168300462,197490818,769286723,15234962,127516329,915609889,763073422,534361560,976908239,975341526,416971045,78995937,623817851,264494247,290503962,412525684,18935350,121651284,352672543,883271313,11297589,873764278,756651493,211345686,920869863,532369801,498995030,850409907,333074907,756576572,51278350,104264696,544725007,640387772,666121384,230368096,203526306,368177515,357996504,390517086,129155971,956888152,278344230,197318490,57502438,326386064,381926719,174003705,218440624,175176515,393772100,144851600,412158986,560884065,95699965,248615511,458246613,822605186,392995644,289580729,174699633,917815491,138166694,620598050,472803502,897647228,536363375,362552761,168349421,380706315,519714269,511337702,387726422,147629068,46257088,262497451,647897084,424192987,879381996,495044,268547887,954768533,817544167,545357437,933495851,925880533,860827410,111406185,107304988,915304124,280196533,357610779,974602249,128801801,369225872,343309414,241129120,435024617,395549416,102954391,687219864,980896125,62760865,495918548,888946372,225369682,130217338,32755355,43541677,649945515,363837912,767747311,433339811,651914690,493928449,979692552,143896192,216588916,586581780,50816953,369599379,325066682,656504024,448553850,216819766,284255707,897092793,219311373,760882001,508526719,18167761,717897605,75527930,387864421,884832632,291875035,906035144,2009788,57193652,318576026,703354124,928230516,214703959,883209398,648640835,510992930,855317663,570645344,51130208,888699694,67666570,137662596,865655577,848388608,645999245,519133661,640180634,89620632,7917678,933277853,861118508,706948959,921995871,648139213,67140072,772905450,82134850,399586468,896618386,199189102,858121473,910767653,783561700,346135401,755335767,525685729,197019996,7146151,918086067,508452995,60219084,242689685,233876650,462394399,79236680,680826002,540035827,16465748,569198165,575365613,684924425,185300967,429545267,396036134,713349597,51724679,451999596,56401140,460581851,638405458,930243170,99980429,722489098,140089342,435343185,99806728,515634698,51033617,242734766,943517440,629721248,359597060,345138970,469236449,37079065,748192044,662590462,686901516,818044742,318280258,339515780,453759032,986380351,551612381,627834600,132446970,52809723,843861166,13117925,131559813,758566113,972887813,510530669,826401851,879057908,995012901,213502260,504289851,922755138,758466917,980690614,289438153,385564651,647694732,899082036,975963710,301081305,907887393,311511235,81305996,52609252,192977378,839392189,927813610,874455149,547113274,794318822,218436708,354821852,108193905,580866518,701487822,247090371,837054849,850093483,191819207,330210433,586236079,233703858,717102810,351964407,80667612,205708403,439917178,180384997,624901217,374047185,995905267,927525881,415036006,807267693,181297571,66767698,435986109,979621910,801125052,854671002,573981948,885476575,212261333,701292815,713725986,50269529,436926192,105614911,672714340,31729807,890686650,307135228,154309069,894316297,121215400,672889176,217895163,970781897,829931866,954459835,653042341,684197705,100284367,571604334,815849303,111403504,452256019,99312188,493727010,230260511,874834075,448493520,997880389,273028274,902635103,286516137,234107799,720902554,189937879,840399952,41031509,216948224,293075471,786043950,988898308,144758828,416095785,900738509,324293028,317550990,225901883,406987948,827606301,994765574,362455865,508968578,721056675,616633727,749873865,800022197,573280208,933037806,393331504,182540295,293255398,722269141,44592808,671048157,975923468,128708737,566964708,540564709,535668753,312619595,464719072,123972933,230337478,145365511,280784107,933483888,90333029,621809640,532874226,303149942,271870103,885668018,616306753,781960086,824420001,587611806,653389139,654548391,479499,993224491,74017721,797284429,621484891,522642866,200137955,341680402,993764020,38266063,835653157,644760699,319359796,123703154,72971984,756243816,108020436,877692522,499603909,811236866,236818316,123558046,554047876,15255394,742961542,231586060,938987590,595118469,714638847,865663776,571495169,549367331,20044770,996014786,582634433,331522886,308676629,429040981,67567182,996317493,438169361,472122963,773202471,380151876,609261390,116318054,708480887,282268788,85363788,522835401,238203658,825951468,46836043,90022500,205321133,426650863,546782489,738782176,457847374,28406205,671985233,201574533,806847477,190514861,160282543,871268750,982461709,694524383,475164451,147566475,858186876,63050844,921556587,487600554,146138912,731332386,783248072,922403028,475952385,727645969,516201788,428921992,558840239,858294322,852862293,198544715,995369258,797614658,3468669,880348841,930984500,865524486,353742687,950206571,286273548,884086187,885926817,306704541,254718964,408886913,317968763,245527506,704788968,815770959,177427597,219177696,579197053,73642431,207521431,65253939,94473281,931856130,660203502,479129134,321930655,615300397,135533245,596515307,132201246,281647205,555365440,670473637,459348184,111872925,513498288,17389679,305067405,906721027,95744837,303231759,609825843,298939147,652389460,633124290,85095760,569272819,307489605,379302107,766391587,604182805,178784638,144471962,23312100,433910181,402110631,670337102,111223986,995955091,990852301,54583017,803366110,402344571,303243967,903349414,963514990,171081855,607341675,805998957,776177674,176325433,447639126,887759646,61663170,77968304,868746632,439302552,311139051,746131780,567721811,30788407,986171039,572468952,538695277,111283243,28195404,316420269,810579227,113359800,677284686,270145414,194113913,133335027,395499785,704142710,59271470,237429070,681692056,190590581,286202736,242986966,710895541,979987887,429911987,605053093,124054144,790823693,306195033,744676060,557963057,133680713,235142071,284184121,678047468,507025194,585836895,252857340,310952158,830689372,821940379,113838335,170756734,753734603,884892641,226610946,946807841,379078116,424811044,54443332,867996545,555251646,282974979,945725563,711783078,186213413,611902320,336929910,134019683,459598815,350858250,426999422,704765820,34065244,782223083,309317772,84816329,190257079,479710090,997744735,440441600,793645337,818306187,714177035,237811754,830651605,994699337,458741568,581520409,57544456,542608531,465731603,604210565,479724998,183941817,621017279,731262594,907664810,779081864,103991899,914166251,172017104,966136431,628890717,628589708,662795229,708571998,436711839,345147483,492207652,369079703,678427261,525965522,376754412,22183947,90233385,732103171,346938524,914905839,536540322,247081314,101910867,25148368,95017580,277459116,250249405,92989790,31877400,571901883,187261510,662369294,645598249,501102914,558471086,682384954,476546839,773668027,580430117,331606052,511720923,279705169,956231205,221159868,220413385,847945243,786763447,341295455,503250564,884465145,272777274,13515240,206656583,516646168,954399616,665719825,612300511,561445232,801226233,973869606,577786659,504705550,862669301,251184265,517221698,915684787,974124527,165902805,544423733,775706797,533144800,951985588,24839506,841823364,620506346,968220630,501451887,339373333,369148689,31958333,396560408,916231697,100309601,139825204,454854884,597139028,519179194,789500735,297708110,560281095,204060844,643663354,439868921,841942658,6681799,868473454,907829962,43539035,374844228,685317577,789793190,634523526,161824315,842831985,193708607,356554871,450425500,535672584,102797495,345512045,229804068,918438965,889359352,807020370,604476269,941119847,143764055,353827038,372818938,354574145,51309835,6585118,958129794,813455670,600702357,496568033,857564682,907765135,153793055,488474650,122730808,694036441,929967135,541561496,82733874,436980563,773699718,320316470,804426548,747321546,286450952,888762991,732985132,257316729,508843752,624935067,45930315,681891051,884099189,890440637,352281121,710528602,566987646,558976522,821605127,982165144,241192696,996811013,269528399,368355738,393794464,751898259,843307838,708440786,854873993,368716421,912091776,386340388,932876059,678637680,264294400,333665679,748658872,970718815,898531033,547374496,172881276,741656319,960777432,705125617,403921190,717408314,984832671,272331531,808645716,437920079,257276989,803507431,901077946,840309702,328979924,625317448,929656196,307140003,615387754,51206202,644724822,203444387,652993412,134718961,750598025,289250972,913766714,82722708,864662574,793299165,990588880,554578393,53582788,929537703,777677883,367938800,281433909,117473595,747979330,780047522,873430529,684530700,383259432,929319478,945797170,966161816,355367043,65975231,353912721,551473161,258896101,106307376,357738324,649779607,447965597,117602827,982752888,751131209,246602209,382481023,59386029,860247805,472046675,750353521,149453769,402059474,54276822,889066364,68223323,242919132,128189825,894728030,251493148,588282688,633091896,348875354,33479090,332193388,264604038,283237312,339022728,83822150,850510920,849268019,370025951,930924003,475236350,211893037,907813249,599950650,494618214,538623215,788406159,67208870,233333361,332387993,566715281,434366241,863313663,728031633,932735722,435529032,209037409,318678720,352547575,84981696,48697482,149792801,507139732,715248393,159798922,641650648,263802511,65684630,742542185,276921319,697293058,708668455,303188225,196462533,124013278,999001505,808831789,813129450,746705540,71526388,918640916,749676735,496023995,103095516,88170644,930357920,651374218,591451577,565216607,360166051,115390418,748207101,484431184,287477761,462024119,21895741,802052803,521767447,710728316,199518430,647337753,781522767,488972077,400025115,394211493,24440870,195571227,193758441,804318951,972792846,563818665,564705572,882637513,792863187,368210559,568993373,821552407,971615821,34697253,821756375,107972008,211690836,573035356,118896152,370745708,568565408,314694808,552782069,911333989,294621092,807268962,601725304,413086505,413378305,604964284,839690860,218843279,13556179,561004064,795514764,616624935,275326974,307107420,169387880,746640094,514606952,193820022,185905192,426752339,767223339,965133271,23552566,815677587,457720939,450233804,232570385,741657007,501095269,962335117,461419282,440929539,634898969,614479941,614278331,632661098,718528654,767408197,275224019,655284316,886077465,137027954,640834802,78333433,593262805,756550792,790830081,273762908,917105213,431929614,588313799,152969649,599609584,46017039,508092445,928646557,114167650,567376641,659266320,434143082,468508716,840724856,565742208,816201347,920821280,827023458,375045527,203866276,226933781,131094829,740053920,686379647,435310405,553185352,894791551,527139188,372244150,575456639,82797797,503731043,447815636,562136787,472695810,555020799,775944160,624945101,578931256,765190484,292422515,31206833,465696432,415257031,771329491,418100710,794417592,348446849,367825497,609520582,531262275,599158297,763166422,851752452,582463223,474055999,848432274,238039844,698700075,661760801,28013904,764109568,632422614,766288730,450023443,221877950,133873771,173177061,658144469,117011962,266606276,118641339,574601176,227760431,768709101,579131371,123447642,410619742,766741660,676400908,7837399,45686757,696528779,632183797,931457468,718466504,467984112,751102935,961085419,598789669,729620138,713303613,917676245,398156335,946632654,305763339,784506991,660687152,631363138,659010437,267572166,586398360,997981168,436141304,549975913,561545316,664561678,93457520,622289207,434593361,810033649,389676373,568627631,396392596,977867502,222999040,617352728,955193408,973030567,115345188,134885762,989930937,106346564,227099291,230286192,841721170,614027502,102886494,568056019,277409191,276706727,760258670,744835724,905512032,143765672,289451184,922621204,171952845,657032460,807004892,236646829,226058002,789468913,190507897,377590772,366088808,262836098,231485698,18099368,894247856,556733849,371693919,840304647,358312892,521585477,152630323,462910712,265697769,863566676,999255537,471844117,9299949,265015303,110284524,991788321,949707386,143186149,139402647,507710511,31403410,152393863,950704533,892651791,108008431,241163293,770670748,485541143,576224702,77258241,247013463,860507655,287043726,581563898,529681539,411149546,165858782,6954074,47307297,713779558,104796120,687591187,82804752,891666744,65959231,817451427,433230058,501102068,570830731,307218211,575003117,743243168,874682768,33982663,911472069,814815106,861090387,125127679,45629099,978656156,381727941,919725965,750434179,302589129,948645945,121664782,23098282,854557802,350865391,732112564,186401388,93471378,700589460,325412052,329002180,340439878,52370497,431432074,448023354,236533705,783896989,323755763,928966137,301732090,461457891,401922512,340889388,983990223,40341728,366391167,903138970,98242300,432038193,708273355,564452580,335627601,868316107,677294956,515292841,570092641,285572729,957121843,824287756,911114378,320897336,872878636,38106759,154929565,369611770,921079224,76218261,891655150,272428624,2803870,98820396,538212057,580051277,563235738,51559572,700445875,865873653,487807898,3916019,194673829,605219575,760973773,523545417,769764843,694009382,982659809,873784561,885494139,712636122,55060580,186405669,470566598,509246873,115756718,602825909,615714856,158824029,631337765,60617285,823826750,602962767,509027094,681140786,913424737,787378934,182032379,694078022,571085530,416815729,281683240,771114914,649507274,931838450,104990941,171499985,470088830,919327103,258044781,729855109,756421706,452934007,61141669,807526785,937808740,7271359,778561928,799133995,135621302,313571084,174376557,690562067,43230203,188992917,108528177,150071596,950124870,789119461,62911568,789217313,351113171,799955631,771368584,133796950,922910544,330529413,858366447,581901578,961769393,574899162,587642044,503215379,137763184,31122704,319506058,138818391,125489615,971556650,30162413,776013662,550505453,227021312,485339720,17839758,637771773,866585041,157667016,268781748,499958555,623729559,442639884,989863180,897908104,221938546,886601138,675662822,680523258,140551972,481981588,670391969,931907192,484800543,407508198,573962166,932439578,786607446,555225512,564100126,685115660,698497931,412643332,212129630,72795850,866038388,617121743,809821115,405001399,923622929,566520056,341159536,422121171,965194201,369270127,7363993,148036136,30730901,205275895,885485561,781058146,546131599,377800904,412587442,532262168,906190357,863190314,954961697,24852695,138980459,21779862,823926083,742803454,821318692,295445215,5607895,604124461,138979050,142493870,643138963,796139548,340800353,88873930,899756273,441594298,503276046,184423666,902332908,872068579,548489619,310606473,31565671,51136735,327845282,3030521,745692918,471397832,758355093,630918492,356851570,316212277,79822339,132923275,105632661,976896532,503952178,55950368,4076469,628151904,483187651,294973274,638972334,301577189,49887189,845213355,329697570,827662021,72618717,148716953,872352435,504972514,370799860,583035984,660793475,933908008,714607280,626555411,656532267,247350376,384636451,680407689,130411094,779674292,487229135,984269880,796826523,506607887,562843040,521036715,542557683,401725782,257802623,645010630,599734631,455239039,641109570,362897509,667085185,217592747,773531485,438005132,393250256,76752360,724878513,687450506,761301490,344624427,962335141,417890365,101287454,748042852,196875231,283326905,507656425,686932889,73295640,396283008,872092650,754782634,894141843,718979858,310484611,459844630,676876057,619533436,123341539,269146036,137963338,67213601,583823963,272338317,409722957,108793453,132020845,67547004,693133827,176034532,827744875,27118579,89082708,815546702,890868862,925158684,596163722,839024809,520916728,365164046,710170050,150483343,252641641,444127148,175972456,876124585,515815726,876544154,480210105,816507815,609448707,581854023,710206824,734164789,347787431,821418181,991466079,835319089,88186599,698295496,507527796,970665150,639120089,127377642,390324024,957824911,326637445,184143199,176138786,137788460,558454586,45532751,944356137,735394102,226054180,890683042,512774417,531268474,995967074,670928842,523344124,757776714,273130570,343771962,941896161,212309132,945356001,378716346,422609007,132564529,559222664,658514274,234701393,154899715,172715651,632458284,358042907,226704988,874607395,449759575,510894221,753201960,439375459,327420083,310497292,551532481,302910662,250795120,573049969,179939460,587268503,194402312,119124770,351687791,475851829,97345582,250268478,373295962,262950646,825435483,516877610,737958283,379430933,537224053,489461901,449271050,391105609,143825508,4461945,744170073,954585677,140075134,603103108,894196152,171207900,177933564,768851021,630391630,941034340,216985074,393444832,499737637,896835206,101227815,968495662,423508237,551867443,593282836,983219100,680159944,29326224,758964857,879148715,963367045,693788313,486824808,166072150,533433833,664539462,921344627,883971147,249693834,780866501,679987708,29939238,565328533,122808837,917970653,591624629,700368000,825022062,375284706,508283382,501307353,997850789,219915481,266225493,911891918,886812753,487846765,883369482,177114876,448420693,794864029,222635879,96688270,96845574,24381952,892342077,231202895,285737085,497671579,383675763,820383540,245127868,598337850,141014308,768836591,667165143,412461245,341623340,380864401,548037020,497239399,117010810,27499708,103666171,62458543,970095047,978431301,954990968,609907350,548003165,767854518,150257348,692674627,88686268,145986610,728708419,856898308,868894373,361864737,28869382,672645957,7784667,648909119,189127321,304206747,126290735,814259606,640661164,799348047,675683994,167990182,763946773,990802110,586084408,871580313,659806631,835396556,320628463,845880840,565697898,810597832,364270085,711459942,564405216,531962639,451347338,969575384,484293909,564723004,362338328,37824018,962614191,727509179,28158403,999820632,812959846,754003698,745407392,517540848,424685075,614708318,726798832,468889772,751917773,568409620,331949287,27208090,285782355,702123611,848596005,711625920,681755678,117036316,43241041,362628129,262232969,928854779,762130171,811589837,677857066,577696422,899806697,753281094,851262242,587397430,424381699,341787637,270603346,934236078,108110909,800614038,921020756,44625469,172626416,241831253,712799159,600370139,993869145,280638092,583505506,155697411,31968269,810112041,193093220,483059407,928736695,740111086,89315159,804901955,883124467,357585038,671414333,866629617,324474675,253494516,778749857,854808923,297750143,595397441,758693907,310340903,818679133,401248218,176857778,327945263,578319291,556009472,780306277,568013809,599563094,630503337,11450500,828076653,795053573,644894319,361308942,747255910,528905633,37620882,593995211,4660638,396007170,337941684,160133749,922339109,798421124,284644126,619414469,614371904,728671658,688141730,564489706,556134200,395395612,180291389,68477338,454259655,362475079,849668557,462107223,260544301,212320134,26818970,401481396,571073036,909286167,855647127,975679699,641647705,347892016,414991570,186452746,11111085,768699149,395680199,870600775,240317502,299535917,27925171,25438241,271930994,863994716,997345516,752124867,842045531,795464878,135079618,511769194,176719138,216024023,448053414,452245362,862554650,602486480,565488696,651879249,661421612,771408926,672738426,566179069,688600071,431611537,913606364,938742615,410623921,251488897,372343857,752113970,566937124,116880879,256489682,216594824,74047958,474219482,458498711,199547402,299859971,871968222,249948944,795446037,26985906,20041548,118363659,818361336,690015713,593727257,549559480,299753389,120879663,364061134,699067701,739452535,612332790,788038542,89786364,261733666,96653576,257397379,145989866,760030195,373244984,152674054,311692886,538354008,68612490,497562074,99694354,652280833,931271951,796495747,356264977,44710432,838240322,164446693,265601204,661055385,253988072,647154064,425197864,790274273,999502178,247627592,244466423,664413200,809036788,449788240,76754341,368360535,486616971,589400775,309260751,577062727,762002689,762094318,878079811,149441648,574210764,793016965,278190463,459636631,407069413,94694346,92273409,480197013,200646321,589260753,193817176,911222652,752461482,431568203,49307274,209365196,608211126,476497069,847339178,24558503,843631643,939050969,283713016,469380413,899959061,663135978,740644212,560300450,261320231,121963800,313444075,886751273,85673653,421482556,714230069,435171027,923927215,739423718,487182225,24046656,298618935,834934503,577149423,437204568,781546623,899346209,944779967,885861334,145349382,325097353,581063796,86576879,936292617,612908422,997012346,999846144,244363577,711155909,581240990,502307988,434999591,934117791,42519966,38263800,686874347,142096988,691235162,582308035,33005886,293981348,879135645,428218540,788801521,581606704,228356086,267719685,318542648,892490976,238546081,559754366,957902915,957994949,360775942,428771980,312750961,772942643,936899618,632673373,896031348,360173116,284647037,757691876,910970796,986043042,790993801,45924230,15770855,956291342,385701565,782224380,857694557,123420522,131782644,350514107,651339748,170947236,618157263,515371012,330019859,460759478,266580771,274636226,50175025,75061456,250875608,401712101,849346522,919617651,481721628,888700701,537085327,778791006,871633719,667639435,714454469,191280588,160409393,871784208,587540982,805309611,589015971,186681592,39398030,554168444,700633151,565156270,350375074,116561888,769829925,501650235,139767350,252929926,957754823,863323657,4743989,827520574,496143684,326460538,744037666,731249774,784514941,235281012,334753202,888656243,83604723,398681393,386007252,242921760,410432443,345375820,420793251,947565925,992552465,920143845,143830243,975471543,151362205,396216657,93355935,389608216,384616953,937952922,831637432,204515021,276894204,735046357,390003885,46922790,426846227,507154007,938339148,913001262,25903471,391553733,371719138,305739470,59179421,334902613,766266883,847322790,134623173,955301191,556848724,811800825,485269489,732350921,954404702,650066442,354196256,470245657,638214784,118653551,603116012,715748064,768869324,192761991,220956709,681830691,708463159,116577101,511895492,796497269,175656804,120566376,584993521,830798082,548996987,957001391,159646930,998362535,766744540,88687203,571926144,830696748,761040892,598746148,229225098,659357265,273213166,643025632,964275611,139087907,683442182,506608018,376228702,36231780,332642209,966384445,270770552,511328052,636572674,60985845,822314297,487318431,142531759,595182263,311738989,196311440,13936474,87376879,511499932,821702335,630623532,290525232,46611226,723178085,100417313,733966710,655576342,630284238,653224357,210211658,412843312,702435701,724687157,859834475,802570921,289061709,759882261,428679009,212705637,962577850,852260518,588183263,531320337,21082038,624538184,429683510,58195172,901017663,485013095,840544505,847416286,261289862,534541242,880506583,801505124,357625052,553437816,775026789,917262639,132255737,661450237,791321547,573827271,47263786,446466902,204981825,466779453,952420556,695598034,216049477,729431609,794139660,634308841,655309530,327247303,92818143,53145868,386885054,997323088,629008002,98587626,909656955,931877493,945235602,357931960,12807106,314349745,5055227,979637987,132218304,498696815,747549429,694482304,409651731,485930089,141172068,882837728,718418859,16122634,587349683,359039056,581874696,60825266,575390425,593547921,462373473,519354062,526032454,936503627,175584048,779825188,643580232,463265049,678326670,730764209,345321727,999915152,496751174,160201609,764215005,401299822,31843105,763245475,519866073,930331768,819414658,288686159,739245469,820622964,691976350,511268062,214760977,900747731,925720981,491964052,786045852,190028933,576176298,572281572,946797480,333302846,962491185,230787989,11397425,727255940,676817453,551530227,136567737,70733842,320773996,712013431,913491546,57181055,506967046,606116009,257734538,939932748,178516084,6009625,725111065,160542012,639293185,139249044,910052091,95206943,494467967,141849421,981141116,310605715,998906528,721280085,128952218,524067247,407056874,730137091,10257627,616394881,258260560,334966694,267832960,713076121,977165751,199227832,777965281,701151388,246593626,332374155,953315255,139039787,693916526,412447011,514728195,629237660,183502062,967063095,426765064,486193962,226723853,246646873,707339484,40411798,643749613,904389185,333511029,107002122,490140332,586345132,174875395,22826280,398599966,545963283,558559091,138413432,582346501,786216124,501366234,420512743,188742376,28715175,944210828,450744055,451234036,649649615,953156970,320165652,23446030,259569184,741132646,768800426,566681542,697613049,122140139,178932283,128005839,756856619,159175892,593749819,480627173,703514534,767799510,394190401,256453450,538919363,629562015,662586883,505495395,285846508,324484252,734374352,835626590,48384084,795982597,233970022,310044547,140409814,251024499,37867540,474367588,696175001,599929811,406045986,44064554,181935941,836418374,408819512,35588605,793555335,822250159,154101150,77101382,367552737,878111173,944299988,602248580,481340568,202221059,204022049,501331557,102356574,675399772,462111010,334851334,62817374,442534075,249706685,922433366,609800183,679478381,295861354,451651212,8745788,579611184,988257067,644715062,266294953,487793883,103353164,699003005,799507074,518948325,284800910,700470785,632883906,234586558,679370253,69982882,770386791,753853589,486464344,302366189,210364079,465240930,831499219,575831061,27324393,143075242,160665473,922575962,900281616,713198238,245950476,313831490,266677485,222541024,123916775,871948333,125691259,40463311,325918113,694239543,128831156,149885060,727937876,745217373,241687476,238756055,12678595,732227691,425750966,110786972,436127380,637029471,40800166,317982140,513749360,213816294,788725134,895237442,996102910,508331819,780978369,22479587,688995399,579303829,804903174,693148111,238822636,261890433,849200657,557966079,429186641,819748905,693207180,524573504,747915114,172299030,335235015,56504530,578390671,828171143,229067751,528343066,650127115,880870690,589596731,116986189,234893706,798370162,571574810,317465317,877754810,890788141,162135289,389708206,316847498,753381440,635234930,5421244,562449573,118249335,474798640,20146827,971614252,536086984,585794190,723364233,163114448,867021622,336733807,776919747,753085521,872173904,198800785,978643954,828433019,31459417,732237032,107064486,892044211,945511920,556051,103034133,483018619,418383819,385587860,818983479,529075157,767605511,266670386,468695308,410082127,916064086,385095013,416325458,762722022,30096844,684186041,923112059,282175627,169791692,175650384,747207111,414071319,77843118,315074103,547335235,55941665,860605518,579103941,31274182,479695233,256577570,454668143,778500580,751117599,450717056,344054573,467164044,517232175,599810825,383787052,19368308,754762796,146665810,69491811,598131412,714565344,761908452,723639908,489784507,466113517,460891919,831824772,683468158,14133512,202210249,671119924,719030873,34021778,567519022,440850238,827998291,964862383,360041648,614488178,789218845,199552037,469186654,682163072,163590260,313028480,340927300,473267162,182000937,607872227,200438446,959486005,333300071,449774629,852353589,801926499,890033937,430346141,499391997,856442933,593611504,281963154,397146269,372144070,704438750,85617189,803224794,169883106,455524504,573844288,283232700,629735901,120029789,225494896,700398581,891460661,346283970,948937355,80913182,611215719,735295473,258198443,315438721,970662556,31182959,987215272,682621154,50188273,267210337,891566049,380536630,294783826,139709926,659216354,661305139,662895443,476868727,396408604,669788084,511380934,638089253,376250413,604969831,776874776,784395292,888447560,531854941,526217247,25869151,777991116,374770999,650125888,134430358,650550658,379061176,720897133,344929752,505823277,6815243,5940611,96114859,607749393,485083902,34527918,806578007,354839829,420234180,232455294,70494207,722466129,869343582,800833929,862008987,148386716,179626772,408773603,391916524,692513200,945396687,98923208,996657651,10248928,49786459,135524236,861938252,312981982,42109681,155255727,768903087,853595335,695339677,412265293,911469695,636508500,860196053,494401513,576189134,468038637,393931004,653594414,350302467,127390414,79270639,316172968,57006247,502520059,661376249,820309949,266684115,716129535,809154076,999256518,226266623,728966301,179222899,724114907,377267545,929217213,450756177,866350086,842309570,983906455,938075499,133585957,654072599,115477179,155176837,694738800,204614927,614801888,947814037,201049755,925718418,91636134,142736467,592932108,788807719,16955733,825375125,162262903,256410122,170409244,607653167,209817633,954434853,872904253,304827980,548788264,380863383,740861817,344770852,484253703,989121454,648802851,606717237,721971140,28121161,604982524,225132221,711782832,706804269,69870171,41814389,995385093,454504914,738044449,642673907,995891909,58764239,240556840,713789764,111649659,56801720,804977646,616402383,863616321,149052334,784742184,919773607,747901123,76957620,372300772,426210085,775350995,247764845,570003862,252204055,820187016,574614685,826351204,914462358,352648486,190217264,711475805,838618254,901498443,709445898,206835015,222517676,583523433,113998889,210795274,157963296,927563943,653362399,314326180,864261938,357649268,690925585,463629028,934657507,219341662,23623201,62182599,247350977,678992187,853400002,683277713,490634791,315063579,334437271,105682768,675888616,263722139,630634909,748620335,773360362,805249208,302586520,593804563,137769458,740596893,785189046,732742357,858438650,280417885,816711911,11302291,340371166,969376399,93260329,615482859,766046440,464516069,568495764,420221044,818666691,891242417,425811597,652384624,306202995,283195541,597001886,289453400,669407373,914490959,209881185,48238932,20261957,399336766,555969286,758882922,851678113,285995897,279810365,383018705,431608464,119156685,614803984,233293443,184389710,971972554,775462954,3133164,399111941,70827343,759174157,839761526,265347134,983174452,407644697,376966899,42650890,396737023,407322948,660154661,303169017,644782329,852062399,603977780,591043077,608487195,397607487,650278335,13133584,625300802,45334403,275506602,480212192,317566438,670138748,393764805,149815691,162303598,432380572,947670087,382017176,453633304,342609098,949648502,991770645,910164886,743824582,345393279,387577450,912068878,767248092,580066738,34355857,9857350,408133311,155218994,302508453,343046294,305189027,982292797,858898092,435507812,282660717,662295348,349452186,410101644,935504329,681421951,989787272,58359362,342572220,744549972,920312384,693534982,827320828,605335262,29495212,435496315,211947471,748103066,886823381,251742957,898710410,168162054,942656267,595596112,815794365,486856855,944389779,694409785,912078944,660517425,602076943,863389598,61087871,796527837,226773159,136810990,497947766,435391346,442434735,876129386,949401942,455760101,696704988,523890166,137515588,807947203,465681040,238361206,484697061,700009013,28323855,428991859,947423828,82918671,932984687,583156537,199826234,578018351,681089007,543910510,155337042,767923543,43620620,15574652,856613301,679149563,445727177,65624829,860013531,663441709,483677623,664632189,872037379,785875218,8232204,440199981,480717507,657976744,307777497,693505894,839561922,528999398,446261900,321175697,40542551,131233999,927850767,482988617,193264169,111909411,979950813,228523664,471068118,472194230,641023510,345073112,587144836,128019624,848783298,387621560,409124370,87464482,217196827,349153389,952182316,810817874,380008094,170193786,881879072,479714714,106169443,35526587,495579018,912751397,966139968,788192154,137530670,943797546,937754416,70451927,16739979,741551796,15863039,61594833,49174701,477999578,721550939,452594792,592586368,475457420,552463479,747353618,938737951,776829562,650170512,532822503,174266667,470200759,217690899,371407242,276452153,863689423,889740897,365623513,245986497,361770025,250820664,314448599,568040100,765686309,808321507,641290795,511645417,769257821,300788457,511635513,309660123,58861642,27772390,564569430,17308744,753178823,32727246,120296296,725195271,247105823,213503461,952209057,646737884,722773468,596204031,341817141,899079010,81810730,270139296,189526073,87003961,732143864,450578948,761633420,584848478,88266103,749569096,25311645,349008455,342603659,754218415,117932213,879826870,111249044,386718406,337536763,465332813,805254554,810668065,225422783,909031970,298729984,251070786,780014875,470009332,710009286,244014342,497465490,123317005,590966190,188371405,154514923,815159244,221523317,665156183,939484023,266562320,95725328,643193423,843458136,418663629,27974424,6807985,883716161,961655116,371930382,537771657,302493251,560340095,199871603,901293022,646117792,367426571,107820485,564490257,836461008,826695805,356096503,212808788,736202179,865763106,550935070,41610999,512265955,975205048,280234897,98097330,53478062,184961025,657558213,899306818,368370523,264165377,542629703,659324522,859477863,464331772,573202942,67947836,656000136,100583423,802822370,350852391,783716696,107616117,546136018,351287560,344798250,474104677,686588892,203373019,10408521,944682981,573819455,693823416,976726939,814048540,588093199,768622670,517925652,205356316,99103060,138514516,842823479,16932494,471124649,384356361,453804507,441999064,153315943,549421887,638775013,345135636,390024824,737044997,297059529,906186167,98350627,330085098,178438772,215076421,36762997,399159781,37680694,124345160,561135348,486051750,690917232,235142180,26948705,879969677,103674902,910076769,731030337,716259525,346120753,222489993,343958096,794416690,22580350,776574785,663754859,570279184,238994796,386498176,207566688,652855296,929201694,875011689,551346244,836515279,540387953,64332945,952304728,496874675,909059398,627555119,72177197,344364503,848834196,771790755,789182317,441880530,16740941,770132912,504531350,668563628,190891181,302367224,5947692,500634401,93389654,585531036,363403702,827776269,640066494,779825217,479098081,101995304,693984421,950177237,145735542,264681666,70479198,390088164,12341162,477487508,753212571,172889341,35899697,432627531,376568269,13641893,204144784,191150343,169403600,862755943,987361302,852523080,966051690,247528859,176919707,782290107,967140257,228756358,286228882,405085265,648062203,583272877,485923752,67486919,838624065,245546011,684320570,9021630,749727833,6159361,355411651,626428224,114443301,572379047,909514971,656652035,565600477,298842680,795640510,80056348,955858542,317044792,989223779,317045241,255863072,10101701,889094046,512678035,131884009,462280384,680077773,849435015,742145759,289167037,421371233,409612322,458643127,465613165,86979741,455812150,859652879,869611807,166356248,753516228,387087536,698997799,315720120,832705332,837533613,69314037,105468093,438843629,969782467,598889157,321927916,195512708,595680358,763788803,561516437,150457108,901030284,92878629,679973804,917786681,632601549,114418857,765958839,264695296,450393571,327209674,997354054,888996140,324436837,630745832,789025960,681346248,35501033,120144119,820884497,413719177,600609102,395362647,635483544,165951037,283551855,540852614,321989443,154170673,678064281,737208454,910670994,603498461,227593358,638124378,160392748,924772307,422737422,87805563,907028698,16114154,398654196,553223132,931829338,801183056,703049413,742545907,39594131,700284754,176211767,322384018,22796724,50792826,33140746,826858643,761061426,402791645,150064097,355785660,786300981,628784130,907348630,878366910,307087038,166142090,713877997,286955563,627303109,691735731,402157663,812986578,751936656,324503533,968478947,700063701,145094322,508318880,331856264,986359304,773302575,666926591,5585883,832420768,344793748,592926003,86688774,425560546,754402647,436836072,400571588,551866876,716213759,324821976,107418112,503030884,116123713,112748544,165566506,102403087,111634598,968036283,108461724,270357061,665074509,89825366,785091622,582529896,641390227,138441287,999796704,102435285,877729611,805563661,301393247,481438052,304060979,232507750,387197215,521114030,218984386,233558189,782883244,816492458,406620463,733304131,42681142,440705339,51372682,821088685,84552910,375825639,354215951,244685376,660036267,664610811,95462813,742493534,546651763,221619171,734631788,141091769,333325007,468420713,840654100,365115574,989943115,476239754,963008311,293074055,839969567,433548448,481799667,675558093,784266964,388468126,682191022,244591083,231108836,632538081,200455671,434994120,535914846,520675724,865839870,567236840,206182112,258132413,843885179,908037774,470226214,984176898,412890323,628945277,182386865,56091982,127072082,970265975,515544132,979659666,921948366,874948709,557963474,903412282,309430447,464765151,427627481,897202317,877045797,203890109,825174232,873299514,138080735,364245839,183732146,34378756,706423224,243425689,395106156,290076393,977595333,26566334,433654579,996274821,671650981,830329983,157611725,604478369,590549695,203003445,302715022,597348192,473431611,227240982,564632229,118474424,774889385,550838245,631506791,870310240,501556510,538340416,478611591,338566556,483840538,491152780,819732445,631074795,397052879,22089190,168977873,127517247,361876247,770362759,61717498,795913908,919942854,638438793,971218854,313801501,241106223,564301271,501266510,841420385,840009259,285603010,387511061,671188616,934423853,209422170,523669990,422574627,987263654,691718147,242019521,795608939,436560642,356583453,607862146,325754114,825184323,451537426,278273586,901955713,274408986,412504966,434821077,222117816,351498785,170949821,418024331,94025825,374566431,732025038,961816341,25249874,436137325,222667010,155729395,193129802,537811527,481696518,270253207,490790791,729663685,721742315,402863584,490109794,690175239,123590006,101013749,539578787,591661897,679136270,610544321,530291268,688327388,364745239,638529440,427331996,220453626,342179547,478489710,833496429,582754102,795249902,192199788,88897880,48598726,944879187,737610932,247921113,209322229,509163321,976157216,892954432,785612427,284660964,232393227,305440547,95486209,301900092,696634635,577039609,774395316,787282968,120092542,168581635,425511894,272018398,264803842,145430321,246972324,491920069,364350273,630947601,51150386,428601232,20651958,722913481,323704082,289427662,342445219,812198964,3694193,668042326,286463185,68165758,344940901,458667252,30528245,692597959,607641027,687506311,379102603,584359892,265862200,443778247,459227999,837354450,340981823,49491875,1816044,111780101,170092900,949088115,258626928,605973781,904638156,73801466,383686585,644362951,167309109,688388978,728349457,910870428,414371740,617214058,762420141,126159248,454718194,609424415,543398292,621828235,579996776,779069102,31531034,682324280,202874078,309633831,967357532,203607108,32004182,862565066,222832856,930976707,422961754,483866919,107024028,540005694,489963378,351554326,603665228,688394372,92047816,784218504,971488957,270749831,806014260,212924072,87448789,313238625,919191239,613522761,320318543,64624436,875318195,619019207,619705693,82938184,360899897,805080687,13344918,272632922,483177509,250389819,688689584,848304869,522119472,168031699,817930616,635997401,648573030,257520093,395309829,378039087,665814861,389620898,212286118,697398817,74371817,296686467,165091411,413666708,955872249,883572879,611143708,231908467,974061734,749044915,434221795,479525123,851911853,567714470,224934192,447050791,333208700,261286991,348719826,803713165,611713021,417518243,48151139,711738196,683334526,732870409,361586491,962083067,598382355,924508620,82084577,147475540,750348303,873972205,919700848,357936234,838385033,552682477,986637889,55290067,814721727,416329252,133133626,471250298,569424286,822864890,84440980,372918941,724970234,92210305,49283776,948485767,773352340,205302751,343135369,903294390,123067840,682620727,14331386,5056206,579666229,492502600,737539936,499580639,951154425,950008927,886865614,150263650,973727184,827310777,625041547,728538745,576129665,933300773,293138013,470323078,400054977,813162101,855812125,673470242,689167213,730048501,727252536,158131998,812810574,194184675,991384573,261729376,195012045,550822201,411222081,645450727,350760152,640156723,557752642,736074862,619533351,564141879,721229527,963206234,150083305,395565076,388053869,166708908,238636025,86444860,977386994,928093648,339288725,341652390,454330326,790013809,167739024,47080258,250701512,227934928,994371184,958143899,325812068,275487904,599545680,122853355,484203135,610528210,25061677,885524667,161667329,390245284,922739950,272358081,871006592,267738371,876080879,223608379,25293670,374787621,802991212,478353500,371309043,714797747,91078085,48020841,436862340,707218698,648976398,790372817,576718937,277418344,368136255,283687740,840039838,143644498,553699522,191650568,324901138,32780835,849115232,286212881,84564783,10821354,167660824,825482893,612646273,805174363,962544678,859456759,360898467,28547669,570362925,575047768,180549427,491431370,125837308,722455371,213891821,480781945,484935725,259998779,783981864,801147930,650542113,212257303,936186574,386156963,406928665,566752462,60201095,884208534,13234967,492394572,702880111,649624438,801256608,385997184,240244861,83405829,245083940,734871884,320051971,540582940,482765621,378279735,180789611,490625260,117455413,138604338,225378324,280646652,352082776,818319299,555872023,238918032,600130022,565325084,252583223,428695388,20170098,717952539,874080432,853189704,886065461,139001327,760777874,687785083,628781356,205836505,293097267,997375810,123328277,491169720,180415793,773959716,179507217,281993101,711553020,247622285,632361981,182163612,950420429,60012586,198636624,89147234,844680371,485054388,997298857,830593937,634629790,922096840,21478164,437762555,242853543,457988149,25756662,545084073,922522374,915321780,665157481,845698674,19329002,92454182,657388165,390096172,25513080,210515869,743627118,243047904,854086637,626157006,13029016,48365990,818397416,760377790,204348147,546468420,657912793,541380681,852961988,16465272,56267195,394763327,173772312,103266946,412153770,402416036,195178100,911812700,357060040,37423616,563848416,200375278,402871815,711559962,526813688,552188189,693216921,492232602,21262260,65446157,882673858,792489683,564401825,750898651,62604432,624336048,186119541,298401240,170662895,268223922,281328632,316125176,454465559,916906877,49223768,523183117,477855611,346088457,260567716,828575395,950973654,919188386,875758923,368906614,993127796,204613990,416403429,643990550,430831017,950332633,610458447,458227579,660570008,156459390,262599757,738728074,341483673,153186936,748634308,350949456,338885111,114720075,662717576,121657328,508951367,261681376,676960451,618549068,513315031,608862648,579127609,883256103,784688909,685031764,277061797,356222304,463713384,470212778,228365576,379209460,944579882,903977221,228519925,247003944,409149827,128339213,330006151,247652822,914217273,428871506,960314851,313238357,446322473,637548526,535847532,517441448,633240995,721222496,194036100,581472040,21761395,481247986,381773163,817590873,318824532,145466815,993320229,529997363,802583043,19021249,32461507,551769904,683344420,692938629,958265626,528474065,222252332,459204410,758642114,346010824,878997126,74790020,219312009,783191192,433848910,941612711,119369339,906947548,983730770,371663099,412996444,942530896,649495477,860303319,682497924,175855603,536573593,686467585,239678903,177219255,393165495,636682153,480254142,956814589,826503079,33796388,457770377,832614324,94564171,165413734,719044467,339865266,256524633,693963447,995436072,102870746,586488397,63591954,198720270,286412692,436977834,269993335,132884765,915072721,152279585,465881017,796048591,617139634,579991609,883705517,588363989,701700672,241742685,582830369,287773935,166616290,737980520,629916846,167109517,300819201,914094330,274463402,600915952,537717607,72961776,742126265,265443381,981781807,893482739,685323736,571216887,326896720,73369897,657069172,305958627,676042879,165004337,233430850,535577167,418828434,837519927,283052705,864242316,988724565,964805664,898742517,355423634,833966104,210563892,35659127,392523223,371755331,405135530,63043427,474533015,572669926,852363137,279127634,109755884,972336726,253774913,33719815,929725155,199434117,327489352,851138253,711936881,382354134,292769783,17550587,127421078,212332224,160064302,147247148,270061816,123307107,218269890,424148701,108561893,115256345,898457121,2090445,965586317,993261226,609281937,403416235,308151945,551848325,108446032,286386527,26987802,729120209,980056195,12377227,387883737,148178421,151648239,26398714,257908704,721409114,171253230,351178435,218578872,599398094,978271774,424076692,47832723,501963744,164930988,106769158,856367438,485471840,389828051,494721385,449787839,691065696,72905576,588210556,410950932,305323765,515749010,246671134,118559361,993708343,360824767,893551722,406977498,159850917,450446689,32590542,621647721,288981329,939993623,647884134,746566027,135362622,363526384,679183767,739159553,229257603,19272157,208321115,927701027,404389127,399559067,874087361,471653154,32539398,799924703,489629980,488268000,784806725,281209803,498342205,594976369,153849015,801828612,687549846,685354725,77462764,239949123,788953298,671409068,935208184,917123466,870668701,919560296,959820167,17553260,560397699,285393393,765005490,784091940,497252988,181093141,374717660,946485137,427712093,816336915,660220629,494821331,380404717,590196222,323507019,320154584,52984190,557915668,524893952,486443148,331111745,700715392,489043601,281554881,397590614,877040231,503445594,350690172,781455058,484935795,959326380,547190513,10227700,899039197,312998059,905171120,172160123,276576049,264187886,934651520,518722336,847373980,382684739,660671798,233030309,335864244,302128466,258563176,852289532,92490970,424799198,140910832,741330134,489453404,345079150,338775923,519487585,750978587,308326027,606044204,955650330,388953999,615714974,972697135,51455956,89937955,699847319,621449853,19726088,520713573,682410898,314566385,337639506,638522539,754368031,23524456,26158909,883610460,241236607,795809196,339366151,674718846,18224079,152274287,762676145,393684658,156468810,529580249,835221605,749087842,473495486,576146473,788513790,730772690,935220270,57881907,892316930,297448956,654847446,859440141,68427853,274611108,648074254,413868747,774930002,155854153,242126870,632557153,589630267,565638441,166247883,556395104,596272564,608887689,196422988,317914413,457442496,845184703,521852882,168459306,722516036,671882543,506427540,785965516,974754057,301980329,718177187,194539143,689598084,913331395,377978879,547185197,391521508,350111943,587539029,226962143,147708535,107823983,384243620,115966484,929947800,619436166,869287376,703296210,576934236,666669473,599357333,829769489,424244385,298028708,528775482,785533561,448043366,282634342,149493403,670178955,462243930,341414643,428973877,234151419,578885376,155520771,34804335,38932942,101348308,927614899,910492044,411284621,286412538,424411929,643077852,813604270,917255159,93602708,971062129,357054660,978119856,64885750,20156152,881621321,927149065,325514109,3473350,52496659,169672834,804128889,594958824,347885130,261610901,337314887,388199369,226428647,141659884,347266106,908657700,173106534,982648225,594570405,865442767,389331418,9734464,851916607,837553143,50300015,513406945,978040031,407727236,682934966,32845806,191737609,546633966,872195347,505468915,75970596,804764039,695076077,458434229,578039543,822695054,874110385,848749715,541191617,860215521,189915020,400856107,101661565,468855629,276710188,268847186,981576311,688003423,410188153,897826835,500792754,303109884,703546992,545644622,550393591,56260543,460767827,840424414,170448630,224036675,935251710,564935466,313526396,144611047,389975104,937067414,217335646,800952538,815214869,75647518,891755000,274007852,618654227,217329731,619305980,380590558,167588565,154983871,440678456,838798441,74115673,352699790,831082118,984159483,551858531,632541583,279741349,835775963,604525755,112864057,778331153,191210466,695824481,879546681,230526872,191704648,648619996,902287204,607410640,575490158,147969851,961935268,510506223,637107490,267209317,304636530,152549548,179043828,598723038,810988751,635193229,247392755,706403519,530212673,91674377,638628467,601403030,778472034,404094396,845811279,781529401,90565553,576112618,671101784,344945290,155775557,471317761,647463732,810995826,86523989,705826398,985252519,888153916,528031911,487898288,342670700,316005694,991916727,945283118,498372639,731210443,329782720,942524948,132649122,140161113,725908046,734440037,934866218,650638639,279513929,815381965,798773798,195163276,715305217,272349299,678352624,721942093,56192400,188531080,190901427,982503258,675311346,381071229,816437981,907882261,396102730,435685224,147247936,594448857,99615410,754596717,764741315,812220452,181615130,365022287,748039880,533110385,479304910,650799111,136696000,72760415,441114121,425422110,198579095,423156672,818233200,183928525,882374832,470987151,917525303,238948280,838782251,275682330,288539201,681493517,837475211,819935996,986808234,289757036,482667750,928117144,34245273,860690054,801654148,178946722,748637673,825223660,929051177,801123104,305222056,824549582,765658602,651532185,657746361,34635950,35006667,561861319,282722548,236566332,849527327,586589547,317956995,467706018,348803689,698141155,545351864,952842575,921288017,595096273,532114239,422187441,774908825,247321572,465968974,601894969,256100106,527646022,816054617,957435493,296973733,484929130,943740385,889778632,785953678,991283404,368938571,777926080,831044721,658555484,963295564,213659581,237596128,128991228,8145198,896205209,686457285,879943264,343899557,836372180,446389338,615090043,208949988,438234759,860150985,92220063,514201585,944145847,264601339,371257598,428030310,294778438,492161830,18985943,142526128,363457873,971328302,189887843,389468839,386677338,458902184,391164624,634790429,663148602,805940345,319778763,866755081,477377430,297686867,772189845,344360448,648780596,751253464,81809273,517950127,392416907,688390545,403257485,227439962,636816053,647332065,744167698,811691573,896847074,389393750,378959713,881029264,662365729,451794492,643688548,992389738,322377673,706554679,456754471,949595388,77088815,671931580,52350027,99733625,797889515,801880357,544031974,835772484,40199990,913177355,25821162,90546317,131626565,81811912,437603675,180915107,632568831,250959975,745056839,917043985,360017283,162060486,819723553,560077277,79986842,990719763,369212628,681257696,54419987,111314105,912782403,550718036,192399660,735448456,778559631,170933699,590800657,39082827,46865828,377191966,305702935,553337593,725936653,221552487,754673391,443578644,868400824,470199554,23544575,610530590,485744275,138416489,555192192,211954544,728478627,388609472,939406955,942330647,821062456,893330044,344500864,729058600,361920880,269272200,700658259,450306102,590363279,155292909,621025030,459989785,867801707,547737332,407275247,808672574,903247633,757058397,985972067,444189349,143270265,845770257,641939207,880745631,296521541,157051850,632632070,575461948,122463500,4349328,864394650,68966507,75097003,132443150,605508738,926124999,391283624,168769514,456218392,181966146,924569610,499116785,959439827,434155337,668458988,260210330,302595264,938931754,323545320,671805897,704624130,787827707,495365594,358294696,666340749,14676755,324824413,708979729,478800736,669837611,329489024,800931449,402848490,610768212,508840345,371449174,385726223,967315591,427091114,489234571,557107956,680485684,458727342,695590378,509665364,594959702,242357520,195781169,377962208,564567041,367094802,886020374,724640851,475782110,423688365,646400285,947884408,870162110,183682780,327963894,271682460,758958871,436732019,294964428,485338620,949885539,751435196,182539826,635146974,375374501,199065396,178115919,242835307,517450600,326345651,821570392,714445188,337255895,534769267,306843599,207280997,29624389,734855267,635343691,725045908,630549868,586437654,435400334,954035630,543289399,176117200,578424247,908897592,344371305,412182504,961601896,842926517,794885809,828350040,914379479,49812570,931657418,302857219,770130415,318389853,888537020,998763926,741908504,637441854,839184118,781247619,694346720,574584144,251883031,12364386,415927202,931430262,734448317,729427630,975700637,368078673,184823873,941572371,367986942,518025658,807002106,175625491,9745277,165731739,307075208,878657778,510298224,418284188,657301984,363395740,355924902,974375685,328199383,783368003,26747325,329709916,846252740,560372635,656440775,912609087,803840880,549113685,585137240,703702337,765186254,167608711,970591658,578296902,613136953,57316215,808686755,953349891,863077019,406657880,587097481,565956574,271993813,624110857,274455733,590821966,235776016,333445716,674955629,126536023,45988130,680874023,273769387,327126704,173140234,564519584,671437461,259928661,996771939,450397788,495175629,193805965,305194540,231588801,76782267,786842028,813252097,669934035,796011551,412712512,115314728,694896171,946066488,803305232,910246242,133111685,277111706,208646459,473147451,613072699,361816702,784205906,101592827,484811579,437934021,981251943,915640474,409646720,564721310,636968409,511589514,673015586,828797797,940772047,915929754,453048344,802788431,698044691,290392837,477852881,578851164,511473772,329963834,964090869,50283808,486705529,508371935,490780916,991445223,965745707,5516287,332898731,399690806,246908316,637013106,729853947,977441649,785236580,296377693,651108039,922743394,811530116,816640663,879470465,908940914,443762642,315991678,690683222,402838751,420918073,291363692,264785131,425896048,979694863,911951939,873949600,257868898,673456193,986968543,737855962,208306560,708970220,295222546,815707415,786352226,669379953,417315191,588433386,68791900,449294737,712014848,684985116,749264716,425518401,591401044,690562040,726205451,687042904,355857769,550050477,442581946,462957084,376214506,879739340,852082705,569225861,940028394,67990787,989608494,69984864,860168571,660647578,755301862,710831115,267022287,229023902,789049045,583301333,545224317,166394166,678286687,927231263,129678940,725455964,340356179,355071358,188794446,94682467,10428396,553574267,823601598,707731754,467419007,256130121,162425132,127293634,266170496,103958289,426738151,249026939,731363854,280677869,746412544,401018708,246806316,634655004,306139114,600279965,599618427,698796045,301151515,185764172,317996544,168930833,831134796,768460485,773245990,384253898,50648289,770223756,271541525,815275569,605671601,344937497,121127030,221375432,857694755,284271467,256376980,648065950,632019006,278255903,621295534,139758880,133199080,548481754,549396532,743353120,301399864,443715424,323055822,562078293,796864836,29186429,140848032,136308616,778798917,972490329,686283278,901900674,565843405,656047618,3167425,218873311,250382933,752924232,97081690,570530770,8208978,455309845,433350358,864458680,640612187,848654306,473726182,678910040,726195113,98590486,812498730,450576564,881254477,693023530,461213067,208158351,684116202,444345176,346699982,800254557,978800927,328564675,182632206,58950526,955698041,636529556,16180367,769822090,101952619,902829297,259553150,61587437,605409896,595982405,256942289,642064635,70840412,816353462,917259434,590896697,293727103,818676963,417840101,444437967,313913270,69015972,126077976,747301513,864597190,328059983,891738558,621429327,627627542,460538741,66743645,56502003,946856519,149678704,707828323,442317243,202505737,845920626,884222464,227656136,958034437,691421547,268253078,960864464,579407877,134084991,817780463,568427563,366267822,873807354,602116329,850497469,630837987,763896097,327442476,86202824,686135978,786700442,2468366,781159996,430177472,306562379,309032470,157595480,625611804,304013630,787855778,596259609,877296173,707361616,809986041,516427280,748859392,789982466,772893400,359170758,797661172,440136959,290652021,538378370,489899414,552535615,933640199,520160267,562908402,908144494,752280863,132822107,832152350,614846505,220727245,457428592,142231435,822038831,203290633,674126489,248316792,576803032,320323725,501396506,286710885,237313348,53083846,841763431,491656682,866898965,106952738,156253619,114138735,839477534,507514234,429346133,271811615,158881094,475817359,289804132,194134289,313882108,919004918,910997438,224999080,704423196,432605085,507818071,739287335,801913900,702972939,941042677,44487968,451215737,755720880,524495035,384608875,202984511,708464610,295437934,418388441,973215230,754015252,385268702,880128553,946959561,727092888,339608496,245882835,986738060,63101434,793516362,694343702,962284922,767663883,234050181,639172869,864525689,735466469,206615534,494280349,428545891,876963060,771710892,660246836,439712044,923774719,533342490,805914335,449322174,875169533,832819987,779242219,680456311,136296411,739067371,371213918,953123117,498259433,522227062,519163794,864257161,252763407,931583175,999156534,302827687,302333023,193665758,596621056,375136800,535190536,573217513,697236244,611798441,524857906,232196309,463254736,989606431,574700085,657794329,711952531,575856123,547124210,293028296,955391500,699355724,251031202,578989338,539691007,114819730,962918199,253583945,441209568,145562594,171902556,133583142,920217107,403539508,98461833,33854932,986402916,471744384,921145273,274752744,996787366,335729517,637010674,241008180,140101863,616950563,534028715,619669360,67561712,805633867,312270221,391225282,382035035,310258480,94505525,487177252,568914621,301790316,22097484,64324204,770506908,660725448,845750012,624279553,902403372,232924377,693062761,809939398,430255040,878566418,386195656,564939621,362624412,840496855,969323704,92602424,108890710,350123673,870288300,782718034,178093726,558958526,10317279,188175927,133189502,899967972,699416888,107072485,224945140,507803348,846798577,287792156,602832119,443742139,521893392,570311021,281177816,812514841,968151960,308749825,993151195,565007111,756350529,717063118,428916851,657926987,459075608,921666563,292686549,677397503,991958123,784309410,272496802,710838212,649899026,396071843,793356501,659758699,513136252,265847347,414851871,967086460,695651245,901921009,56680818,613485190,482449492,2184580,882544706,454446822,450298104,236493932,681220531,686763320,598018892,96157383,816100610,489388655,969654714,447053825,388518827,719916239,525565073,31220897,32695919,941937820,823805933,821431988,415587027,618926896,378504515,46898614,238101418,300855624,943470302,971124299,507814990,500737005,392558662,207035389,341428688,184324269,163176350,806686792,727290129,181873397,352561106,921923687,201798002,859166062,218709097,592725743,210750799,178787248,537930329,897238975,367113192,553534179,866511916,741166051,662195088,889934233,769070543,320608136,12001544,943537397,760656035,582018444,260660146,593578951,777417155,101264195,88281144,933305291,381032163,358049468,178197373,884673926,299939151,187641416,138169071,250796125,237801707,393931034,883831647,775698477,193652854,323125273,512842316,399512018,465158975,141523531,7158612,673708386,340225972,505503846,308292772,351183066,781586108,485766506,667585509,899777028,363092348,710385603,254732127,105338798,752119663,933999683,124207006,863421012,339275088,506187293,216146470,19821973,426985391,335660379,606114351,829024462,509962595,164527649,794696588,804837771,377094781,46749427,338004364,510024560,156173590,410258625,830368431,19392403,808424780,488627752,869645423,737720898,524265535,400290907,761602537,534824600,983055828,336969130,763262304,514910023,880258834,518634076,900875240,923135725,265725456,303621301,843779601,261482544,940124018,176699905,687474952,509726997,703697622,340548872,478775900,838017623,428131970,829045186,488154287,344243017,231630096,538150873,646623620,335677580,86649850,882415838,768679988,824181929,198487374,323470473,511494316,385552018,325510975,745038745,42310230,25224511,255387262,297116750,88421825,438873612,87131557,684085046,365057293,445923526,681700226,982178649,881234001,961214643,269963764,908349298,847294020,992250188,117362746,736043481,359606294,38909999,676314631,834797663,198071643,608655858,892282418,346326438,548544522,936903135,757107015,552807604,969179689,878837127,150005170,979145023,182289426,404908107,150212359,755166647,719900659,158759895,726504210,521862510,887237046,982161533,475524308,763563887,479400834,221314440,98804929,419545271,181532211,456859984,575683531,400473575,312029485,593954139,329837212,480331617,764442024,383462708,51461236,679225710,151648319,495352240,194339203,910403637,243667400,893567029,424289465,234686476,488973863,146879439,637438399,934178284,940692145,409742254,340634531,73596419,45619229,30087722,1196692,724928803,763514103,429493522,317300377,18170197,109148545,927160037,498097698,46556615,815054050,528419167,764909441,240096069,302990777,63040690,676650125,614055460,868239919,798097601,235475733,23137222,741140145,305308123,785401817,870180112,746347194,810856437,686232703,563023755,843237124,96601073,575363647,957501659,738332981,542591338,684769435,216509843,944909906,870010079,485121771,72649711,291570241,915139640,294269993,499917209,397823718,461032252,1531928,497370158,964836570,590409069,641224927,128892584,803520103,429590334,678272181,463888583,449932413,523358694,978920300,706666206,701338273,819780243,21372059,39007488,315533500,490810774,784585221,476429840,370286068,206389356,257176348,334021675,959372485,198570290,389117370,74445052,105707584,136131471,312150197,259515430,651885565,167458664,182376866,217477603,457076844,541928425,859330150,480235967,233983021,925922469,760763788,700721678,259455048,862704230,796787552,927779932,316719634,414018289,507794992,457641031,157309324,274113066,154162556,825858677,429939958,459464808,153584505,934668622,29498443,806195593,556006924,952404243,506205801,203204250,889087050,119504825,160841612,247925378,286134622,384964219,244933897,331798059,749156413,677611597,337650607,975589452,258732724,780540985,467661105,785766084,611506226,933376698,758528298,670689000,358360493,391681892,340556524,190868911,630149401,216569928,500136795,677741603,787983287,523819479,145523351,988896297,85259111,915150662,900692448,124772937,602444148,902842853,959198545,627992325,226453832,402121300,177901203,837610777,524897521,506784088,536551670,255317677,285086786,166988775,244429764,444681759,889785909,185085794,122510535,895200539,561944781,823371652,497038784,339649970,276355825,294473778,640759249,820124530,985428388,75632056,321385312,913289510,245768609,211903362,637385269,868617748,78583860,268009171,671238684,654431427,181448619,821129553,554889744,926186765,642526456,106260333,873632841,760361236,348945528,706918513,233861338,598010924,948978891,29605743,792969054,122311578,385307814,912227254,971117327,138987618,375587545,497376495,490844956,3087460,883268330,260852543,194272274,844227349,975353830,349776204,700315748,666342739,672675809,770612825,953443611,902097521,200671226,667611789,185137729,845209202,94405084,251212078,385766820,987962716,135586476,924390626,743688718,529795314,750173857,289890525,20650361,961608059,334520900,759982950,684236779,793738411,375451054,141247145,894075040,231840629,90445234,824586166,780804921,104473418,217306531,133252462,871473264,811557380,668186158,880052711,263276098,721965802,771508389,713198813,874729514,264499154,939641866,768813564,968305020,353997008,549994677,443879127,176114410,677806340,12659508,392984628,899415144,834038202,267300576,408627536,402767444,802253559,342923381,704202506,312451815,294490741,704834586,367268463,447506803,595480153,9772634,646153389,159306481,5771993,341920582,190555793,25622847,311164894,260072493,758497205,243679158,645592214,419732093,36631831,993179338,937409350,817584974,463128770,202945508,529550784,288447307,626696935,884121631,345861413,52008553,622354906,776705890,565304467,175799124,353196610,734416549,707340421,452651592,607370566,224721017,905241631,961149331,845296487,819275071,472311612,694002118,480039668,97328431,545907416,959266370,485612791,988352729,139679637,665341537,823199777,891906094,327981648,363638467,587696780,915028909,297025073,527854248,977232734,485126234,65472133,619072243,630087413,187740520,609021765,806309201,577631047,270694271,199311007,985276825,594914792,766292475,987569093,651085235,431321675,548193591,148363490,293207584,955963026,904948850,526950236,960178440,513781878,171948430,565827191,585836095,194047263,816971188,291610,528904013,784568820,738170953,113887690,755024649,154791144,951295837,696226679,723523514,754290702,637742463,129838066,216551931,100266354,939068176,927252095,269107857,33667179,713860586,719254625,393541014,398439527,873628120,768134362,627458823,12129642,237980497,634403296,712422685,403995710,710863898,718659548,490527425,78597346,846235704,611313140,670956908,108281519,65616362,297373666,480787578,501510774,727401143,288170655,26052388,917888401,287550330,329299851,81308075,334841636,843522362,927664100,868814925,690296523,546109849,468342852,927082864,38123943,900898901,103884825,991267768,850849499,245242051,669025140,854841754,107806451,276933332,432150117,330712754,50978609,827101132,45672697,877123047,56199947,933426357,614336128,214298431,593007949,418011747,871840607,630508260,839222717,88571058,998274906,536935357,667702104,349785783,308064217,4592720,81252188,758984309,227419212,280879654,752395211,361241859,539077479,726370579,440195255,562531405,84301830,631847011,340282870,147939888,96839922,573073253,134129825,624567909,816935949,269415055,747086029,919083724,678589459,577599705,998097463,946114542,300589284,232767144,193288788,662379538,439674434,921262156,408003213,642500208,24178776,144635364,579568325,551934613,437901165,713797062,514379048,424361225,614599233,226020920,11141978,829442995,209162145,126024592,806616163,463728532,619971918,740917735,706227093,834905796,269251325,727462509,721049902,298071388,232401033,492108965,580829415,217198021,655800521,449317130,225232397,68459998,409143513,506819389,352662216,597998906,230056627,968502952,294753054,151432811,277648261,695744542,492301500,619430513,206876573,912952801,56876585,504430644,180802816,864607725,394665080,464439495,139103721,983438018,736550128,398648163,732726231,44816652,462851890,972917342,106543130,446098204,541978634,170815896,726191843,606651603,843919246,459862660,143623525,833664872,19321555,204412770,388177341,759108284,421746210,843458349,740112994,774612780,426405968,475017406,914199739,401329830,482161456,11430775,476219308,741314138,953983374,36847808,361109424,753287285,90022035,998865205,841446402,242673335,452484204,470347029,940950696,576184872,621446412,443353783,299356702,323078822,706669315,657211147,174093160,444059695,153839661,152650805,230863392,921999376,624260177,625958309,340848637,59542836,803463941,98372843,633031707,538177288,745488804,134189515,452755227,681568182,174013298,18896051,59766748,527678034,412711292,383635923,904941443,199202522,849933958,328060328,406405271,819562819,514109080,715868794,859095629,603926938,183496340,592316022,541825376,423050175,573911300,716383853,104495500,681950630,126135747,834950347,549792634,860885160,488077359,711626073,142275863,168290070,900383770,268515877,54556506,825434768,225264525,292666857,973600649,183629563,323987864,231577774,157877571,405915617,184800065,303494962,623428966,536067487,33782550,148066201,504616004,91485336,962315824,770834355,666041049,599110133,827901193,205621794,391808851,794577511,676353892,779526692,939795584,855338582,442053974,752336466,699474218,255283024,21814242,707970756,671620279,718323955,426381554,731059651,250803,714403400,558153421,965876055,40124601,482312353,274160063,729634203,538075272,447855945,828199681,959890715,709626414,350265956,370989655,239659468,992500895,627529438,288476324,429011352,787468239,167347741,945673876,926888278,358827606,240200456,610126920,265011327,309417401,903034340,154159303,96904547,67506547,827841510,636622581,644976454,20569494,705705374,249984666,362069673,849848944,364334537,72859791,414479283,556310873,647190433,423242392,370487634,461612622,34729749,532087778,282286704,461937850,726215486,415768444,615975709,448516110,256966907,389779569,322736647,112790477,59377096,29848120,585018849,521772148,627809748,762036202,811685779,78920045,828336612,30209609,119710374,321795093,573349978,411969580,930472692,728734482,172675463,458217621,498252412,317061641,747000079,870569043,488677133,507999906,185051817,603953371,957807126,612828473,674690350,544473953,267426474,299463352,500083296,294307837,715355776,473715386,612099529,351419750,280169858,421225732,717139943,264817577,200447503,202632123,289066859,359873067,588581029,227725219,354373604,494378092,381775026,904479584,896398648,92076635,876505302,503556788,152348159,678089546,239286141,781630402,398110799,882218582,255226752,438501535,16568653,171771794,861256391,569847630,237134570,168141446,4023955,715430436,764753334,151508120,108408604,86348705,606643246,583677972,31434165,576737031,836539744,15244259,960357214,827293471,438236725,441827360,367149516,809312665,649838281,796983869,42628675,476495685,612907645,556801424,153716634,138666504,389744981,840687714,244130806,167963347,695228924,996778675,215165560,519323407,272930748,180207064,690090523,232637103,102474137,45281606,897800018,965428450,195957197,256669165,239331285,3506729,439016613,873490968,326172038,363776532,90900843,997251916,524273373,740839057,201130986,833513829,860288566,398330566,705780064,872977970,454227310,57647766,670945061,761827239,666439939,612146038,459164940,368349761,304097556,245965468,123083587,240108686,844944062,36756213,969223630,95332313,436562665,156880505,990860365,693739048,958833915,833413367,701570975,95383368,204730972,715329371,63025557,164158687,837907107,541632970,975515795,154006426,122879035,930001757,513068580,594920806,38561453,237479803,802914477,114886291,400366993,371750244,497240382,393307515,318095428,762386224,524935317,782390382,120137421,473927501,709460242,434550830,22433046,334952869,3520838,643537532,239138122,514687422,702134741,619803351,600809000,791297447,634225098,557305938,937494778,854321194,834079164,712808245,208213998,333083058,98854797,908280324,217706344,433483675,3408675,443873879,122647403,237794818,222010175,847437872,80042205,803918335,882462859,751886420,54519867,41694169,9521168,997399565,907144305,7687789,813432306,750908380,113672216,940110936,924378109,39037837,712833984,303515284,495600302,444977667,241604039,638153048,146671634,986160387,56478137,827198736,841158975,511436792,67282525,11046640,387218472,642789835,947888756,473816472,580587519,33047363,196120781,990702449,452903819,226556030,178242003,16618120,332530942,84874302,267629437,861112930,772541033,384481388,53650895,322581,992537111,67232101,729437047,543011957,997913623,978845506,431355859,20778577,21437701,238672134,532080770,478273541,341411897,212916530,151974975,164960640,857057415,334249125,361788663,762746284,484878688,77458367,540380751,423317114,878052011,487938072,793052424,664821293,364572527,260291141,307297914,986347708,597743804,193794609,2511668,774503175,662900280,263719544,143597032,929540408,187690956,509068175,796827513,981819591,162480224,802160603,382271744,201713922,397968790,160700762,968038835,459421338,615046588,695479096,952222174,64894730,46144532,144094972,152144607,635495484,409289671,541260103,500367268,455379206,641892619,670666139,774765278,97393050,551834460,819064894,863650852,646738591,711338813,980713312,936795511,523851224,497031755,339099403,370802128,348931999,796340976,237041737,840710493,697064120,542567010,125792579,370867966,162903784,417390177,295666908,511775510,216195641,714730388,945511166,377862260,213827572,524726139,728836332,579450701,166545644,245590228,256845575,191479995,520032297,303776102,291036248,578619919,195954827,643453759,945858032,652642237,888758459,966748078,818327003,741284537,911576711,508570119,867911398,200264875,997693769,519372057,490893911,481586347,616058098,683530338,230528204,787734447,968519594,137243321,460567879,157422157,372325832,345998654,265190484,475355152,278826452,83721928,509694951,107126973,15217403,489498731,971649683,767092938,718918879,136917626,206879071,995490915,690509037,221580249,190381399,344201802,28986709,591493894,88031510,640554290,724496710,19792365,318336113,638332289,771749899,799271577,543822912,436269735,705431320,31516481,655815076,135145672,452086140,773854247,606771638,297469192,140597116,665491607,823798005,497798124,346892951,48750591,188417949,497200615,676238164,475734731,171612522,481663,276182208,731888554,258822070,225144272,758064999,74242097,234710113,739259964,374745406,588598550,913029847,875932781,976821123,432890432,138302148,906891193,464228772,524749312,578669180,662739304,257927680,285260183,66130081,425583566,775193842,146804118,650457680,765748341,126530446,55139091,473304304,868164283,738084832,329422407,832011397,316822579,10826565,635455664,550205531,964550102,934680372,218651528,216629984,112241228,859936349,216045769,965055846,73948140,124750301,228959824,330673839,753775864,425392270,885615975,362258951,816129347,123577330,774931619,346161901,764233498,315526310,765512152,159076305,684088458,693147009,959626226,542007745,357581900,412499357,51591510,451504827,751537147,381950241,149090197,366790674,698425521,730236977,919897837,803661053,640008683,103356537,646822273,872478312,908138558,242650998,485566445,504499998,552813437,321845613,140757167,342731699,963762907,634203531,484622652,3415155,392800350,306798285,548792244,378933276,821363757,159770546,335248685,69171081,406309164,177481379,29182685,960193676,211703307,420939650,382717063,887432599,223282059,10646118,827173670,686737826,651808265,739455545,659622627,165662878,956502371,537940937,719630997,973262023,553245306,157445467,279883836,212311190,207389102,625248662,850552278,908259227,565795791,849208165,854136556,320500929,25852741,983541693,350848222,302955264,851929862,44466215,440108846,943563036,632807689,90724516,826439857,499247916,758894001,208511376,890000824,923426822,179539951,932856614,385241719,601014662,427936261,764071484,432115610,943226089,737397761,547421186,334486117,73818507,654010736,74619812,842579301,478361003,431796735,725715929,540864034,879940718,289467092,786606833,98191799,848060272,210146821,317352544,138043784,219819599,725064087,346257563,215067212,568851200,873259806,794002719,789097542,918812342,233836985,285871129,296391332,450611239,897712089,259210732,463246226,962506057,500994819,740471522,720697440,881502513,625407819,78046352,905790272,813365268,252128816,276065694,679064611,625416766,180574618,141316799,889654980,187128369,643271475,152843416,443376954,468193723,728309554,30662655,424313198,197830547,816705252,793822378,143830647,901797089,607249824,374356030,516675991,887001382,184967840,324103728,31409722,736064400,745770602,539148567,942559829,623635578,299089404,540097320,498823426,40949182,657693248,544682511,886530016,952200529,373625199,464343895,159178042,886284258,735222838,482396294,279909635,187620935,457991731,481025451,443295227,239186246,515415778,909443014,812888539,943661116,261018604,835556709,821034036,999816940,620046928,205586928,399310968,770383758,324494869,149944333,632872821,285001048,188567680,962462446,75232889,440319668,314925660,83359410,869934314,845907037,916656643,855254935,564348081,887590586,943246716,182131117,139207491,266794466,98346529,369435405,475880970,779892297,643961113,167044836,586121658,695713805,283517660,510744480,217931486,233293449,781262270,385355,65559752,404698069,664820652,52920403,312605352,847323567,488292551,127361101,840984500,709512226,868018875,900408292,969034754,29772592,74598361,766600785,510999448,337423542,639908241,168579581,105675451,941672405,248145706,107529146,380828596,281769580,807974081,921698520,844110848,546750926,221003404,828313379,787891603,572321696,535487426,379031206,835657668,4041115,48087530,824572871,323028342,180943298,447428891,381018404,543786900,454159184,186150762,168893434,662602846,66325196,550211568,433741536,373507852,81617677,693760618,868294453,518943235,215962122,405204119,519529387,84972587,581623674,932356417,78106007,99444186,469210199,282508724,527057831,83705265,161295275,388306935,603534677,950323200,337659513,902967801,825245152,174938114,84559724,822045030,561024956,387236925,192997895,404971737,140146553,453438375,282510936,942851999,883224126,520641552,118185450,15961419,685954817,155112116,423607482,866253360,668481331,928337979,350662129,256279438,180690111,611620607,239607910,151349203,731948967,484265247,402059932,319469974,967516723,895378799,718739026,906815256,983024938,964666492,503036504,258932102,855107648,320585017,625730942,742227391,913695596,29028000,722417144,410315037,664694641,346030726,373145605,265669793,753049224,483057252,868758929,934337810,910982829,909518642,18085328,216073108,107182979,509404908,980736494,538963550,805725266,141791515,469298965,441057933,428316064,27864217,96042460,285094555,626342461,83894190,563918791,654615495,890627603,783653173,467199329,577989957,613429134,760574193,511300100,746486722,771145679,685014522,890430887,551267313,120298873,106681231,111484,37374689,20302803,610613555,989823997,629538684,511446608,479001959,969403085,154899066,138007409,881905693,212169961,303940837,100562404,854669375,374528157,170994922,95450477,35984821,310926146,647299167,469725331,139856579,585756045,619209370,11188483,936724249,92656297,242034283,794819881,828576397,816731612,163342764,975960236,236785484,558503077,647025491,19384271,591685584,99570017,656901520,878065226,754487141,785184787,418809091,487716942,250061924,180838408,519335920,407384282,338175236,551115515,71021360,509130154,214123092,396442997,32881082,678585867,63766058,908381256,653814499,338075077,3673690,41959125,263043402,357709150,692748925,481984880,518228268,695050529,144711961,809470208,973867021,69516572,471180292,432334278,838325825,877686435,869237049,544537639,273523005,60974627,585250660,192986930,706847259,589100272,985995389,12383022,882003076,438777917,792583797,809248316,923754080,863597769,441513266,138616124,101439511,928852868,222904323,765410721,550673841,839324976,469438295,744931712,797301883,750747191,828174635,456746503,227894951,887922426,283051423,413826866,439529830,368354322,23778730,214740784,288033106,237323500,451864163,769434452,62353682,603267672,773579699,852817174,982803641,116429468,136063916,800746011,994400677,485630696,453399259,736631727,229511067,824359975,939454561,707060966,744791088,758258911,956553802,645864362,309606148,424087649,616609014,946593289,586913077,224158686,220019572,740968913,706696334,539593950,86132459,973273821,786863001,16972371,427487884,443585161,95652145,365431433,38135234,162664362,347704744,492083463,65268131,210054591,99213155,634928204,456491595,818566814,953963109,459390459,328810434,4524835,559820336,192590451,428273143,575898199,31228560,82440190,144347285,218397311,104395473,278926893,155696059,936533231,346219442,303213048,659162259,997255661,456049785,451777076,649828589,754421566,512759113,867375381,290662110,411241849,505810472,440373819,584895007,709995649,228990934,745742709,945940313,251184323,33951269,734653429,28978243,956759,623614958,240484205,648205435,149320576,402862310,262518660,591506075,554622592,753112005,894738546,826677188,397630934,332325156,501783055,578613601,385144211,354272840,535941385,901665050,913805497,570700346,393197897,643528325,949368080,288019153,402555285,620719134,9637858,419553169,870779056,918245175,246427085,413598306,473845712,115173286,232334404,374334112,291370035,411433157,107034755,512547798,12627900,957923932,405333679,778876140,804245219,986930458,106682274,233490441,294501097,983900557,885824398,905855744,406248492,940183940,432539172,171391605,141445961,300142525,732923457,345314274,897680628,664189943,253567688,839773629,871075844,101022271,192179024,982915796,278200380,169837961,480092950,22030732,485347379,522907696,338950250,243419741,162519051,440952598,234032091,965701445,362482370,38300404,167281642,394174102,556806696,772503427,488407800,503345258,538309208,876507645,157347880,55635869,47504325,267087743,93011792,415261285,944057095,962645248,721589784,468341460,351588867,325636008,880264730,907967642,33138327,669659400,73351497,314120652,842197003,634998956,114222345,361576658,480631810,835734528,903216804,429685068,379532292,146520989,743259625,203331104,453314450,718074746,342170370,80775903,916596184,319775424,456065516,829416194,63967919,459589723,20818182,493603851,7510609,225183235,109769980,226423489,820037180,398881906,751599984,335207815,476928863,924703607,105507437,383851439,414322004,943730712,860288060,88108571,72538438,587459583,303733242,223176076,493275046,301831788,498155929,372472995,106751229,348644346,957486579,964899974,930933034,580453545,774577672,985710829,824031573,779937943,496271536,775334477,577536565,900714731,562612093,224597307,948750633,800713957,381390216,594257138,563536773,540394168,837374226,460015393,251711149,725197133,515709779,126401535,603875654,115672460,907346125,891453276,639261841,608021214,644682317,146200078,774868401,722900654,669358094,180545985,997086284,32955345,178692637,14770207,213416386,683665212,434532142,448039330,433594996,474200036,898755274,746158107,880371497,388523889,686649696,89567926,760916291,638616495,532040203,177919454,407876207,184560141,499111141,899392286,127680819,33113914,349699644,641782401,175232495,970995728,574754225,676951846,805389312,200410085,61682469,65512780,942926542,200975160,429852500,483464995,296073851,549810817,499945298,442566595,812907220,110726204,448357372,160613154,316765408,981647383,40803024,573393098,693397161,472848117,325298725,655598921,339180266,313051679,465571606,932151448,892087893,520866149,11590112,339123918,356491369,904368823,220563614,466253603,931527682,685105858,930971379,360634942,454371450,571446608,260169186,599192091,834600829,473206161,987711307,745607909,185858460,474492463,49445315,867835155,558619624,917152951,747555056,176083000,373813170,942359929,786951985,848785007,28706462,184080195,673433430,960527339,670822566,357710470,284983093,963548689,89788531,986245412,614219996,760306447,307805002,91453988,558810207,795459000,818255577,711852211,414381643,916332296,383504418,899992242,449347099,281343365,235150803,536609665,27536708,684441023,328247509,273788732,179948599,186622039,347863916,869733426,979373565,864869454,898737803,655312234,862845657,302358778,133907917,293041109,468737198,384134493,853951094,383701432,764363284,479297619,719472575,630305276,189540605,126984757,335935366,808892353,276807277,229791063,487012379,331963865,708752573,269367007,254784116,846882485,141658856,126801888,81970136,244026413,825626555,937731673,88393213,397969712,674030786,952671119,590877388,958120402,829068545,258401783,223719383,444093905,104558959,254881509,112674196,426057798,133439466,464610736,102058867,809113753,512919916,914307305,564513738,730211351,853550796,433581567,768552942,71733027,198880563,379890579,280944192,200575675,587800048,679134705,114390360,819137864,301831942,972294672,261274111,709503773,347643881,844629342,926042353,951328301,725303362,117165542,200998541,955849646,996012755,946809053,9688551,193975250,292391393,202107732,491826622,508271051,684640896,949531891,948561078,573864871,890404022,162145624,890196712,571771040,227620690,70127848,423600505,51167154,236117682,76551349,179980871,784185372,483221266,639279321,16429765,369591242,459371687,512992701,764784496,754260594,996177393,750060946,122368047,728786261,281303071,155304673,730204053,662686147,205855922,159388587,646898732,117218493,979937981,823084983,776150232,758962247,132298346,120180975,924459431,259789146,242340864,330783498,41502375,931320426,907763799,880023823,423406691,439313666,556591242,925187779,430735198,368167630,630687777,244708808,783801107,914612256,996712557,395114439,636873191,80234679,816427002,908607921,403442875,9095025,531346814,500437693,966003791,299130464,198143813,145051967,509810979,646968821,67504002,777751535,630716382,335413817,999893088,706436239,778042819,794726119,891620869,853574537,972411838,910714901,268738537,46474241,243581228,356626078,301272069,329151733,466090347,621290676,351875373,375580504,584417628,469967434,305183359,255314406,816422062,733478300,934638659,349302028,536241740,409669444,744349555,951190949,505608902,898388869,211048547,476131381,640808304,138962379,405641652,700948214,816865199,192320175,968498498,532444522,152121075,846908265,244582275,466302635,308004240,987470108,608373718,100034339,44903034,496416236,511830849,316005239,322751979,586719663,46046509,521280013,661811521,205946238,361175406,984855276,128792746,858881393,988839201,171324405,584467219,374724400,543179133,554314742,798329662,251744724,887221975,552127097,932191609,505938026,720712360,116186694,595703181,943345330,275014522,577231264,697951141,515005149,146530764,107885492,686042634,964075001,94044744,128706845,48824313,807348650,448326929,363683240,567803707,614064098,577173578,158318935,864777595,418864648,308685259,341786382,886287114,752643345,558340558,829526193,262803869,467722805,304126363,46883374,312325646,650535564,401013440,742630092,842480376,309351584,424900540,325073775,701274503,200728590,669014182,299244535,196285537,926169314,300954403,556400076,861616264,288854066,598739723,201347028,377795183,57314226,744008434,600100840,659939948,8222523,866037475,581685848,951919492,775630894,24882420,818611488,186023483,503155617,138778146,441433585,162630964,344069076,855396617,538366632,325036267,987429583,90932385,773917442,468563659,601505421,649570989,602091461,474482663,633113341,962891977,335025496,963795453,842238450,885742776,646693466,188791123,703026803,354709472,622468779,575155089,829527520,146002740,988030087,76031001,822812961,277309780,320945736,507172067,44422038,884420454,31154416,973169089,440783248,421671625,661030073,697662004,528286057,880957076,912310289,976306722,691317476,548929678,795802174,631602162,326309556,207054267,7868459,515347104,340067188,862261411,411702938,238868172,743795521,316396472,194738761,693394938,751480001,939482961,780227780,283747501,128551897,257556584,615699519,603938451,527008732,461779643,579895568,338095489,477798785,330602141,904212756,344876566,121970474,29955146,723506435,120389728,435359748,219673629,426273826,628621920,265737457,298256314,889581232,429444002,190733096,39890188,155087733,969425842,379043137,101839753,92468295,675019956,268163146,576357739,195979911,445969286,851239784,294482408,65962453,814668301,205117262,999945974,37266937,619380029,861401249,723702465,290923535,57555154,433313452,61840612,934206665,216576571,296146626,317434265,752869366,829476217,867770309,577933783,412290798,529133186,474884280,610127947,930337882,529214534,557658815,946069399,640571987,766637567,345397323,164805308,262066211,524993340,383296421,389230422,290860749,191393057,885139052,491441241,121347385,577097277,950265010,363509194,864107767,606909129,908604336,112924536,774863412,456125805,674937127,603669068,365050355,926269433,433200789,91988443,938812419,32946854,536880745,232478565,654082684,516686433,7380188,500783403,493462081,526113518,763214353,625281332,295056994,497724225,574887580,651570231,48901642,585266289,505217770,860363093,627379347,719098209,278442450,436100455,969102054,494760159,670905459,924314870,7604598,95421507,199082548,858242151,512093052,56827575,904795392,824535757,665945637,144445067,35879465,60867459,221811799,822361632,826970564,672970947,212965891,520914476,591200216,993137605,282419461,902228875,673022050,238223721,775967456,141977463,100934847,120394417,357978690,838120264,249965852,429464763,530558160,272102551,260607522,102963336,322252099,794712778,647276840,85713197,461356382,316916162,482426769,198524105,365596614,636931607,310342507,740457632,911209463,905687822,979167419,626832982,94775593,773330441,758791743,333396048,551438258,179060253,700000224,33871892,385035821,897919810,26884130,716539843,653098169,522681557,868915461,296294474,266588644,539180748,122066806,236623920,610764705,775029495,59963075,673527499,385594551,263907376,822799867,289301157,342071737,408553298,727246482,679566057,379300584,294299752,336056826,642804104,299194514,521990405,815838478,660908104,2263262,104880778,999962526,537670599,73440424,347007615,274266396,966012905,325393811,363394503,787820582,336523255,453994209,891748163,995592115,6662065,914624685,73977120,175474160,41241815,83998101,850068936,44628024,743604045,308702711,417223253,348182050,442345364,262436030,551188458,247497291,991464105,609220036,704588158,450050248,783849256,9757116,857627557,895211086,726934290,789755134,392522446,717651484,998687432,112021445,975659099,385065320,256430545,47813100,569411698,646174945,799885141,475594861,46552858,937518942,165318322,475126039,276384572,59288053,765354697,913724270,806190307,471727714,101189508,493216247,123224484,894280973,351943214,803275406,304068265,110743986,357375921,541682726,656549511,132397224,823592383,628815722,270376303,544914858,176193658,177571011,660203477,733413997,990207783,710614482,929928379,324592018,291380919,261285178,290529295,515990617,163905834,282388231,731145216,645108336,327378870,4348163,159467510,949203614,570418860,154956770,337574443,697475017,949853119,538971357,736687491,944502191,845714513,40144268,502672531,79778191,346017129,57924719,881952468,792725082,867500747,211962339,916248805,885080465,865993772,604386512,981239900,649066348,517260110,918190668,699395511,188633882,948736626,936535912,253205958,563774187,683843228,285972304,347406960,565767904,509778767,825927547,75019334,74697658,622356942,954037350,356350163,88029209,175674776,229215949,782336230,15309851,415223203,621374405,703588182,227796120,940082556,809967567,483519754,216511852,446179873,732834771,998381203,793745250,361375706,399079294,812255074,947626836,301705841,142532075,980798046,306458054,257358217,535789856,697049228,447337235,663986754,401858870,737717745,892020242,14616572,998537078,13537776,681124401,908748563,940165963,29857534,504325069,706755563,76836002,812217993,569495605,782617519,977871223,536811704,586856891,433372791,833138208,924252991,544746876,120620356,216448647,308440897,141734324,266005700,887853165,544241140,951912254,213002494,342342860,587590304,735249107,81355560,429371982,998231366,195694679,621214820,421504894,778914520,788461642,927477951,621995538,297606878,326763846,545637880,527108640,121089282,438823037,553953296,699035152,249231626,361134191,441153613,537447206,529993067,58412668,2904810,313855846,709969148,799762437,610561349,9837081,531723107,603496197,806518380,885269325,977631683,431740544,525877722,622554349,404851096,9371627,932732276,954154232,447155340,905044614,836725137,788809153,573177193,443210395,746177705,936114313,151506727,837033562,45462122,365063806,184612225,342449589,917058538,862771519,439863683,22781585,633160262,115066948,471945843,94515965,325595333,636926811,150295347,123986119,744894383,842377034,906043543,751592628,627971888,533853336,306876705,408531300,162219330,572813859,266130539,758034506,932947857,907668726,777436154,87366312,847893533,919288249,79847654,30102988,167122455,500763730,233521116,400729462,556776358,165641649,759134225,344543904,863689123,821646116,977866534,197735746,562194428,423357872,456649987,431736901,946822623,574101462,594532044,573602079,841778854,71294222,621222724,345985180,216157506,380135551,666141469,990823179,984102511,991542057,273402134,912749421,988296893,511979069,825621611,869729084,101572013,599078181,992047511,463531548,632551033,368163777,328833026,495979699,323491834,914217742,653037233,124388203,46213544,485298523,298231437,769768909,119364423,878741697,998856593,652639763,35734905,551212714,674443403,703595548,374801520,424829716,458908518,153076218,30091207,393774905,789965242,327803919,163784254,469346971,619550056,331038487,966868581,477264049,496428221,579590886,900369627,757072223,188989710,494653774,949943311,142703535,334292322,976578832,272083747,14396931,916255194,382710397,192049727,799921771,930090042,336917526,15706884,964651941,770207588,757374586,422205616,49832042,824027944,415780068,318280652,541784432,896672012,257532762,447338806,803519085,511133833,801862534,730607643,20204545,316388198,118246164,20827983,535046398,326070532,501195890,78937855,139006375,167956455,400283743,317839255,652822648,218599378,497960993,253736550,407708081,907044978,696376071,169283228,956314462,232422704,534084773,604763402,316955481,639416873,584084828,202769785,306819923,339041350,460427624,454207556,669998598,255708172,655583861,408618713,914395053,269701193,252516916,823649579,709273711,382944791,201398588,594110871,842051105,753535170,111583996,916393124,286916425,824392691,82379629,650571497,731322381,778714440,476623347,278111269,975230391,614645548,175619539,802041724,67931749,526998876,797686798,472567665,818176527,33945134,667599265,551737330,247877666,494757017,992098110,868363764,921305789,79754577,127145371,247343594,513954846,486530250,742930584,159998531,915984510,434374890,814131791,831286081,624787509,121997653,50318713,829151282,67039108,790873646,463714595,735573672,708509379,63300942,673760071,784605664,393687018,134563127,208330490,312504741,990897311,738487968,410761054,553128588,118767580,989353903,316636704,351606725,77521127,674286590,75703316,633246836,863019620,426181203,884340443,948587149,339319634,621471072,680468087,494186497,553745437,341572314,39064845,895912557,252581850,998094054,971097964,952925258,596377016,613412503,42019156,353910907,775410916,20669223,876278177,72670234,621118,876532995,695292005,988846150,634983980,767421946,658907560,230474301,711812804,101764902,58942635,336485641,382492249,169615981,373559083,46260663,536603547,616365059,331613442,475860620,817508725,623907383,926885742,480568484,69785850,567198534,801849240,874408674,172608243,311864507,220153189,554612623,824364202,514395697,613962242,429552841,767451362,64635795,728300104,434125138,599293699,261671115,886514485,535055057,760471495,988636930,567691368,687975789,23793987,795273419,651397424,926770460,51914092,340491805,229983047,225266888,988142445,597901673,493594351,430331175,695680425,438971005,580856634,570610895,25243300,27276368,193177947,166750815,333935207,448924687,443134036,569658983,753351591,82121968,19010216,652811148,517312267,814972653,156841406,312055475,837848807,393147352,875869363,896063092,917297746,911574021,332529741,489906280,958453592,933404872,211865488,149366480,639665886,854188861,30571485,297513074,117240473,329545630,554100302,9797314,687782508,879735905,40480006,72042090,30075029,874645638,746775789,310719717,634423271,139885209,421347268,58652100,513968875,975363439,980131731,966896919,428457023,803448926,229307008,455481778,313988852,458735542,62170023,612111624,263087269,687999714,828639732,424191459,98623911,614839973,554189708,925405980,135340560,784463609,430671770,908251180,85595018,899188439,639138088,499036145,244056878,908868246,478442278,866328671,314407174,452113704,394871140,879014722,226107425,247600193,717584444,142932574,868964485,476538598,887005264,625144444,569883517,373608975,46497039,738941054,559737489,557337485,912301011,699832601,198938148,252372617,592955202,479404817,491963354,632354962,637751656,351866656,459031483,727281228,829438808,592980614,302595290,806161734,982568106,660706008,633492470,80497830,522465546,739334084,87738585,989755561,951722449,265571046,273475036,39456731,167967878,599948760,234444489,410870500,258277466,740661827,465336870,302170465,429514742,778858337,679884345,930903442,465170292,510246415,531248401,898292338,484434087,237421845,756456470,745718386,318229114,611325583,299089166,952404914,463130334,868141370,648027380,19865059,195539651,998015340,227345146,841100562,10700403,709903449,802254318,335795044,732205544,202410833,755073796,966764392,752176436,173147497,239543209,889168835,583991898,952079237,274938265,667727162,212035958,416765937,240229910,352486073,762809340,694818145,97783812,35728285,106001796,577819782,472907896,741479874,158968714,7034062,655005248,551448831,957557848,62815301,719806630,550161546,379754884,428292693,388931221,542842549,736708424,40842416,218729912,911259617,227922089,33683403,555210215,416869663,98103287,816903468,95551614,291097765,687465728,595235976,867347529,807903946,835412211,672689267,201679276,907201348,903984213,665969081,865233401,115818144,447459785,246455586,584671554,801657006,54994085,596713189,614739017,855080780,364506738,769367190,749031765,638783524,845611724,44824764,750048331,573593261,86173501,339689030,687615614,748158561,911715741,503100298,112527171,676354060,61578719,588520937,125412635,521076606,680390985,193802230,619941464,210536446,49406561,331399751,340660834,252204583,649535374,451032584,48823628,985015996,442767796,29868650,201835502,751599842,132252782,327083185,14217295,659441431,689071047,543106034,939229800,286044816,492752762,433687981,930425756,506542026,728578613,295031850,594172991,749045255,814113972,216435742,114816944,86145317,998180690,338409515,262685327,557642206,912430853,100839280,448975808,376746283,799091563,137008381,627623016,744913973,338937996,221289700,239017893,635720939,824693484,836613132,368029029,523409975,761341620,509070271,423198020,108159636,212144231,77427014,712798542,864768147,264289619,447486926,798258240,957851182,618968571,336661281,824240284,131095463,942753826,933648051,530021364,562497629,794134589,101191599,870830496,237126282,267074874,603259863,268779634,254344358,243028298,143171368,145932442,73676218,541127290,734639309,521659617,777052727,569502809,617855544,813768082,344131964,804894672,528234103,973199674,444012473,954256216,736905180,831415993,103326227,455108832,236202877,173470144,658775502,223092313,37386779,797444090,359728407,78742732,178503115,567068652,291820164,523244922,735883449,552107799,483335221,372507836,821923836,471852786,486719209,86941125,234316083,722581233,506684255,237859644,38628067,395213765,795960868,586920883,574869949,862195502,876234501,30702833,876794053,267846973,271390294,616124914,94401227,580257411,809128520,934870525,475993656,415595307,964448856,868268010,147987922,369339931,625275291,988870404,505245658,57040644,213794778,45216530,585822108,814516656,183725996,584045831,758066793,515358663,889985609,116425860,628845510,577843682,950305579,663172538,690666950,655493548,872747780,502188907,442290085,807870860,60135478,742427405,281311193,541745564,333248900,166998238,296363227,69200266,945489394,623172482,91482568,243731385,213134336,451855329,993534394,725771919,979691881,212045947,404902109,520395261,894019930,852135909,355482630,81168566,7249814,134984487,599023430,258082047,250535163,715253019,616450215,353824047,200102571,710141844,115259936,996913444,96495710,320623160,484728118,518060734,890615199,120082648,265149476,100856973,196435878,826075318,89854708,24387163,599385572,772337008,144148090,26488627,366316975,516242729,490664488,382398502,114490290,116883353,508961502,766557718,176201331,56005649,32385652,14019365,952139871,645523200,910574347,794207581,153852103,202628586,435626536,740129334,182609620,447157754,476613599,9569496,162968245,479339701,721292638,748645831,882960144,312181499,913002917,152077832,365913115,386574538,481419628,418693607,990315714,726424973,789506405,90519598,67671465,435892128,277768930,712503984,61451191,951082983,987416808,964756652,499555250,423681278,722555567,117059832,202678665,772924607,846789749,422581737,664215706,828926786,250874711,747837719,945216137,41775134,619642655,59545569,624697527,492829344,495808751,557768944,280587480,619094523,415197094,717326037,72725763,460134103,17558576,260137449,252759573,735664158,120378304,623086644,315726690,908682844,4899903,583736117,133764769,410217978,952366718,151615741,621882197,372324339,781523541,563993307,157738757,272098064,733381607,377986050,427207410,279738696,941083340,568132908,739988933,348685200,124661499,553325868,406859663,998886641,724825279,964778570,362368148,638069641,125065115,468017950,944846085,917857382,68443346,316350347,369625070,759792772,47211807,959976418,591479882,756900291,96142939,857073328,503227548,168454809,841095951,369544171,934230093,509109639,850707168,25962632,154445351,576865337,914824450,5791478,86599415,711792543,545435154,940032416,491822119,670300893,721146792,356211593,319520210,213872440,183521353,82623145,493902341,948720402,831103592,188355757,314219479,628190895,873438455,36467374,637811961,448363321,933587491,23800206,849724531,601347432,966814433,606408212,900838409,134989591,505486391,13352854,772307373,229881491,592425610,96547061,425629637,445242177,314246255,571574914,601590273,947416742,710248694,369024957,259833283,698221121,835129928,679521033,470962397,320129081,805271238,756040304,973665722,820913361,360489106,362956523,748301689,837820422,456614453,216915459,377161604,735346652,792769468,214554856,917164505,891736518,32304201,477465850,133030782,609074977,261556376,575574341,594674364,573566632,941278520,276276290,192041928,606277106,474286735,26948819,440826272,168326429,902200589,586829392,767706171,209932817,595545206,348003656,462221633,763364743,690692156,755555925,783352574,299234955,81850387,770383886,241956740,16309107,165695173,100142060,188669559,448350407,582599456,978833998,246553791,554289215,194697175,255082175,224562708,955931099,73271257,27038529,842747821,527644338,429389895,652123510,499987447,640679609,613806497,801695908,426252055,346379756,615113394,9195413,920690218,232705656,972566835,433149244,545170440,416002098,599380659,280672451,278341013,973501700,896956027,328684049,65682782,77641978,661431126,145742280,153495828,347495506,899138696,276735195,738816696,728243320,959370727,204330892,847301211,396341214,298674961,663205809,42633596,310323445,934563114,271693875,652474946,861232972,788907951,149667215,565660850,906437268,532285431,512575488,587656900,765689100,488732894,313443033,119971652,641200581,399084105,232478788,891881577,18455009,937443956,992658818,31339973,766804850,56318889,444945864,580564241,461682866,625362612,597409409,51402312,664683878,604834744,587076933,767572178,108331946,869510411,716653080,711615588,413594247,708616218,686359443,666544048,988665337,561905725,529512387,29099281,807320289,767765517,190041316,694581702,568163761,86802180,651468190,835956430,134621630,866651966,161493098,707358254,125755150,905698694,164731528,701019669,558497015,782730084,490006716,709267654,816526479,180579663,450258044,509956485,543232356,519620210,47861663,406712520,402864694,805150800,72088263,365870590,966134608,335018818,360485370,648813331,235459162,472254127,777237425,220773746,995507337,76780220,122902818,107468165,805455578,970563054,140161136,987994354,981511708,868203771,830276261,560516347,73868741,228487868,176788642,300007338,796215388,684697962,862163922,766087530,218250015,281167544,764472097,682930519,776056038,98165346,758343891,604037835,185368137,511110274,119775527,941552481,432834399,73004856,847444581,529115287,739549722,683266792,904374771,493848270,426422661,855950516,761607429,479214403,521387947,29733759,421852954,373910980,697577856,214555251,512360103,403211688,503007855,520097549,392907290,791195992,341102109,296865223,100166556,257746920,846007255,129856229,108470586,508626617,271588143,677343547,812511572,271953210,277145768,470148963,914288664,907096419,890315047,328015432,165570731,387178875,587865815,393195751,426341180,255780072,899967469,476821237,158856929,770563674,766766061,16703424,544868460,829397920,174980409,580834139,334374288,739276086,675244066,623618873,66236443,488299135,708514722,410629444,581772573,908203442,334012064,608248322,552225882,712162987,883550177,454623677,951078872,894202803,523299316,934050195,753537527,919608718,477440399,545469219,674728613,712219664,661619883,413071046,53327588,68467523,81124321,793818050,279367861,70727263,877907429,439067642,299605663,29879467,245106886,988630002,482986000,232458503,307774800,218996889,547023700,648872379,649517221,954181449,630645286,958265839,690769560,361436608,902670097,998461248,124718375,104124269,569866670,994458996,17099054,321171388,169661874,535343464,380237009,947980241,237293293,891611945,610917225,121581922,359990116,57248156,761146194,773258286,591692380,545764650,263460483,558116148,316442507,880883091,623406587,658453335,869901991,170486649,494943092,571368481,318808462,391526900,978543140,834688684,594742451,215139967,821101141,120911432,143034251,366664427,803206373,188649818,45086712,9655902,795367834,166489097,129101971,180370734,835572367,501840049,875942035,188104378,966842113,19930827,477389179,444629781,56301512,866945426,242777162,328033832,813294456,429170052,264252977,482714934,754097760,476602326,602515639,251735521,982943047,918919123,741069973,8817489,990916608,942370119,169951466,317069615,875381561,567214026,396410001,479456894,589034532,212721773,2385295,654299643,48970984,983237234,24654941,308707608,36221809,700062598,977340319,814004496,787034976,677978647,303479249,30091682,743376675,320942616,41073660,436831283,813852204,926005860,881736859,622466295,248102615,726300039,730457665,494252265,104420113,3320803,372049931,797313410,23745387,685444938,842178375,663486530,201965469,19294628,935840211,475621371,910865546,267050515,629274578,31552611,732336731,407978254,531173545,799804452,289781300,469916597,699306234,736006256,277286837,307520716,371602308,388592504,696111893,85067500,505999790,368460277,458378919,904096712,415927745,139703421,38006731,287094493,304577561,832068790,442247095,477556778,324006265,637836414,261071406,541914707,455197032,798505224,752635613,246044352,475342264,697842418,515796046,54627546,578872103,234910586,336654736,708232161,859419979,614839506,893388931,451318572,407858554,810982734,925996942,284516253,390547133,102939696,192073724,979934841,748198038,519795231,544663698,924238021,833070189,132700767,750137490,786617766,737631832,406393624,509873681,786260457,674286818,966966300,435002682,169490696,819783275,953250262,550974244,754519506,612602652,175697173,604868722,676406813,669769981,131199884,798278779,574345663,445542316,468561635,129860099,485955293,221218259,391279044,873629996,975313794,119969192,979304981,813940984,384428840,411720212,516875209,451649299,687712618,437178031,770715405,189977440,490986665,611917778,632312788,717371276,156066985,701835202,675398442,862618956,579982892,738138154,18142346,988029482,703885288,64141815,786876980,226245560,841133102,12128643,724296133,746192185,655174823,314003419,159189623,736741700,624831431,616985649,249653517,147444791,282468796,248419962,969502742,286487598,866951921,512656679,953810444,263758674,853082088,295300289,772380752,248675186,282168547,844157057,486747605,914923662,496911254,246809907,238798725,7987131,884801236,471435224,19624430,69701452,427290164,388859108,443116736,629549832,658266461,61871313,409563734,217652304,931654461,234987620,784650427,932911576,180686362,634950609,875244682,947950559,341985836,49036298,96210704,65621737,809498772,853245740,151213079,316936286,592773323,113004168,491498704,994062646,91463885,772652529,355256537,58368406,777194298,734223885,481396828,70813980,576754303,197334372,159252776,954048593,919567884,476516911,936182827,221859511,347528158,231104794,129560179,720382942,889237422,3844893,592525938,923596976,278733391,934540197,403052468,79219639,39995814,467668014,826381031,921710281,525822682,132028708,750597199,91932881,220854830,481630821,686546365,295417353,740098820,522510613,980188277,620320854,427982245,545229729,721767918,687556131,265478894,136710616,658228255,354324647,163380591,338749246,800916707,993439378,175750878,724574420,485380648,120700027,976619557,986087368,925792734,507349121,241363291,973350042,332401999,26840062,681612563,300376709,995122119,393286558,920002033,341663846,73732725,245966606,953459916,926908417,651244972,393595694,467001448,266048833,663021685,273400073,541248972,936144445,756739796,249857380,109749661,901544127,238775891,553022296,889679198,375667478,847492246,726934085,337471900,24462017,152524404,658964388,445945803,288018128,405967206,355180559,824286354,113041492,60362644,639551144,542033800,177920134,397889478,783693503,960344787,158718715,485644164,889217245,338379884,671349501,485179965,71898047,483920242,558626298,101135263,905769792,790069509,716862135,293167942,987064001,719108336,818860085,394308403,606584698,675126942,955127310,314588759,865149077,666346795,707883447,726205910,969726135,910957927,473878804,18147897,952344895,443465409,169585643,712279512,767367315,881060257,374271157,142008340,402943003,370645896,883510460,895739627,406389649,851725742,938970225,474803404,999474066,162814527,887882589,447729494,777115211,444064019,350861288,42564899,721974127,492303667,493222814,632176658,834691327,41135621,623708383,701248939,101835787,570222442,400340771,516149255,655696606,649316358,845328505,731431423,985058759,860591915,549849463,135817560,164837819,171974333,15032864,122787525,68051061,607458122,810205865,418550995,260089093,651278764,460756313,445289903,479601613,841616294,163652832,554207238,376770167,494101360,956583474,310321596,720594566,510613406,979530741,425576946,861726327,520788833,841170792,717966046,953216165,752447094,789429374,363719466,427067146,492588615,391007767,699519743,117071522,225832558,106767230,195446391,910171243,440213034,678910311,459710996,507100655,504935521,635678010,258342271,16508844,51326985,344823634,574321629,98754712,166030891,621087211,149879829,535628990,602902868,496619872,155887740,420776228,36882065,794662565,832139722,352878507,974863117,736168844,603372097,600819233,907832055,411214396,788363258,494184391,245828994,131618366,626446430,538420468,754530199,725264428,513570412,204726634,697098516,378898263,572703853,848340551,38465587,783091817,113691641,408123688,951287517,442810103,964024436,836766572,230247821,531666344,282512150,664636290,773244270,488060721,199098915,365768243,938090252,851873175,508758696,829519561,912318752,127829707,621691221,194181514,482471995,521715537,29784826,322041140,565760600,735070818,801384550,701843021,330159851,675701391,537354087,994504792,250074178,474174329,182016445,207121688,852842527,649517711,750216250,270596298,925736283,522270031,392120933,881081305,349730121,694122834,803840392,167595005,731799088,166505665,792838058,784088602,869386709,639647038,533978270,96463387,683231871,847108399,515492838,302299167,780658667,825283253,997632073,693730555,851976427,154161234,847981968,353386517,964151772,127476246,866288247,864964925,712787376,877117465,989028901,155004303,19444486,584314940,225066299,331784601,168888081,416914941,84882726,983330526,389685451,995422446,207011118,38319769,822948484,416389795,225518354,4275498,760594113,120654921,500950520,281875229,988919214,849138701,630311548,459937829,657990432,928695428,664763265,628343443,124435401,671384038,599473271,426225895,548338177,354919590,379279594,618734220,212865919,174141483,988892986,356607540,955773087,539630508,437424946,421291353,260547625,53169575,119395012,895649975,769599609,520235962,227713508,722600392,813480338,436480903,37906688,889306583,387019671,62522004,387382501,892971166,174556147,112975844,109429802,735195085,158970437,113336254,128655653,629015768,167333492,803982430,295818928,126718659,626969456,748602739,576848094,220492907,893060192,542344905,427553250,118872825,615992212,845578410,267279606,396875531,784093167,765395339,589329643,629763954,914216189,246749427,820882949,687098237,361739135,809396942,556099859,450141534,133259538,838709730,680638612,778670145,26859733,935543099,65055432,464446700,968786143,763223215,582698216,664958666,676314203,608744676,14936917,785048125,756979026,403369923,759987109,915429764,628783383,878212303,684090755,874034217,386584713,473401297,637698291,10281331,509073090,474286776,824153254,992590972,943945436,84187803,349281308,386483317,797130105,507460624,471152101,294105499,142243353,585482293,214057698,519430380,375119038,212201813,211049193,362324956,991362776,193368946,504593506,445955364,142485574,136078858,174840815,472743296,142796374,112430006,535676614,440833692,659673583,664799388,997730131,455204803,42768285,819684812,978978196,610924839,834292578,758360080,168074114,82118396,204251613,423752815,918581727,96852497,302558425,801917511,839738318,622369382,189122334,430696116,703838344,821001048,531202122,287070285,211137672,588350124,874128477,483277370,349902865,893671482,419108976,882259089,134637695,320511560,445458973,621553973,275166046,700553012,543349262,530204435,654645433,524644330,987192205,288926807,173898464,610377604,133845226,284389106,281414658,500828856,319886687,972956601,549904851,624012297,995549246,973964959,484426712,661674740,541418053,249577494,122244554,128022426,713711876,623397407,825531832,457403976,337178232,691026082,385115083,641566169,737633117,51458196,325024597,474220145,307528769,274750336,10379538,773012935,639980986,233724916,263570586,971267923,989165307,262231547,902303243,293961078,9633561,846267826,80601353,410735773,510759860,90868711,449944052,196496115,377596632,360159776,802947019,392534995,4586339,296716964,135184908,11580530,324708378,210903997,48351910,620380227,460418273,472774236,857531417,431222952,240750306,543285059,889358690,782167587,253463822,520746937,249010139,637185388,129492168,613615439,710953659,209946403,852434938,342576345,450516062,950565789,793128279,702959715,149694730,151886984,527293733,616709618,644403304,34693642,448932416,42453659,622779475,90548926,834694612,82796528,944480258,399383945,932227502,759043698,677043736,622027928,548368232,659421116,654714932,696129591,419123826,79950958,331310780,609217832,564719217,337376157,85709880,871223564,856577992,523144035,270106663,647863181,316241354,689104412,386643094,358920748,181386370,816011515,903259812,49842459,243078959,48184941,286518876,388585620,981125798,463714807,945323664,226984068,290145346,246413840,541564357,466316063,611157785,549307460,279777459,919374797,248837860,936817515,55948908,571196393,156064553,447985519,11519089,311287215,975411698,483300802,648856310,413077820,866159584,478063854,105215245,427540050,555869165,29668411,786711724,59049877,52621966,15361907,345463227,716746597,136607286,205916919,586083517,956456500,417057003,698749143,83239226,684896974,977150101,227248914,460993855,271718923,726297187,306812549,15439472,592056054,107256563,934165166,870741485,703253713,675050908,57690346,450551521,535809919,604058561,608111443,980796912,40867234,574892090,108472766,63612774,676946183,216473559,152366684,465359874,690697947,753619281,963786680,323556057,547059414,344673921,977077105,366734706,269873339,1915932,492407510,314329817,925253560,373661009,491652545,434959597,144369289,666100150,926172117,931168108,421555648,269473846,843060117,488363212,832338232,661182811,888538055,155981418,629804197,447970862,637631417,235036340,79165536,107465501,49165948,332040504,447373053,629357237,152064931,949428497,680092758,862438254,173463483,332472851,227442222,707623513,362485144,96406352,354148940,823427854,105402261,284064913,206583273,245356064,414442891,983447045,361302130,8634380,68835041,729529465,142342436,251059066,936284051,248339717,814877016,524848023,929017922,601162862,885656885,186901550,344978696,840313193,585114431,112272456,91767302,557507223,981985549,3476687,296058929,629648410,406319903,917112523,299446450,450226541,290771517,729495699,720064929,186089970,502373694,30814236,351780024,665093917,608598428,424680101,723600502,626614856,148139436,412523375,861276560,629299758,437580891,833197151,20640209,18198895,6098560,386326494,38728933,447765663,926634169,554169316,213405822,344159408,205534108,674665006,151512338,798539538,856666877,96725796,663193597,844459424,8776461,287112770,233992428,19140669,602258264,206597687,727308300,482146027,385296477,652278302,945644267,141658664,628038171,244456752,583904946,195913095,237747236,748263909,962648131,17412082,956143840,982570572,710748810,538922300,75296318,164500442,329088068,102218954,846253299,87869238,984155942,595035642,768633943,611097067,646376331,960233772,794914639,711333968,332488326,189728038,526694781,172819146,761708521,563366798,871226041,278946091,989059402,453483735,434056230,273414093,770356029,150111679,388701857,18706981,843168589,140225640,916040308,54711338,579474143,240907398,796620500,147889529,339993671,328976458,925598471,62497967,948560935,360897343,139432142,790297220,185499657,326179241,151840587,450340613,839529510,371837315,758957287,536561167,903240404,729096789,103567051,359860357,773952466,999989435,168870694,848534506,944257695,531398087,665792888,136039970,51140735,223411383,648244153,766784454,239208715,492153490,74471432,2937902,698131314,191118252,975092960,250507,270367100,73387115,313772691,138646974,229491671,222148820,357141330,727908525,837664660,75434418,867152899,325739734,565748332,131248313,202789556,459856123,884687192,218414389,964228065,363218934,847213086,736563113,35004240,959909651,703013103,583452581,232787861,810634739,597552882,967579270,517927615,106419543,999839703,434891321,435492549,606513331,733221990,141958652,443490324,480223524,549697172,814647814,821175632,222155949,65529374,582620660,161869183,495188015,682459670,740584543,240374099,330123778,36805968,984546436,450042900,903816766,221436308,275619868,505254275,670378211,308495545,288356709,246837130,547628223,727137821,839393658,693668006,709583095,316051141,525463346,534058553,311457938,554596537,532896983,270592890,543021125,56850367,274097514,854464442,98923223,587590044,978666118,239867615,286926716,201022130,86326716,213807629,716060258,961330865,836311352,228343670,812889641,24771579,80233242,528514094,400689004,661374757,522125932,355027057,306577255,584333134,738117295,713581433,911985070,840397651,618961087,654039225,829764980,69516950,215286148,47803061,310454699,730719313,512740247,690887086,8149207,634349844,541714107,79892534,408130418,985154597,784860881,984870190,505257908,61164583,555434314,691651885,273179612,810392118,854710661,865115440,225885160,759254602,185516200,457388944,577042038,313665535,433909781,111753156,237727022,32219681,130621687,529989283,665199970,531460305,545479012,720807617,977607810,495961134,174529547,509717216,516544234,850309451,114511096,849182553,905162567,535889250,850248763,494553134,287667794,553821503,748859285,852587163,305200939,872872242,253738578,632817319,780646237,494639558,158143201,145536696,854707356,29937471,490591039,567961923,688754282,131386212,381176388,661425216,842148186,387201341,111515268,682032796,319945857,792350278,625721832,270370119,747946291,326817302,295838374,804080193,268301453,348694402,996441922,458298876,175306632,55228029,25426389,844508435,347038678,603512129,391363718,292191332,302698650,107994945,630980224,407835207,731085278,919055989,194310083,486405776,261318154,295837497,969570484,639754260,834877440,135437761,575973877,924828294,907721768,186091437,214731671,25628357,287044667,116452691,932057443,740257354,687471722,946136932,611441164,372348721,192210828,511910565,821015780,123278690,767028922,366643302,678998343,934169854,899047058,89135306,544149467,649704208,960792929,697234247,324202856,120144512,632186644,407870482,230235132,660434273,883080917,501612865,26138921,805320175,950524727,37909437,675290526,325454761,654732477,530273147,943956212,746614467,839779795,578091343,441872668,827752513,361357591,864889073,816951924,529255242,271455921,255379477,550806715,150698239,614175427,295403464,512329477,122054151,763347379,230684256,109493527,118130292,826552351,272978328,873458685,391884264,227502292,648818807,568497549,735936338,807389353,861626012,637963248,524732688,604766803,26341914,804216467,339174279,264373665,173929653,935245757,514982362,9006000,918908178,214896465,94476041,782241480,149092784,866525570,945745350,28432335,184351170,176444401,640667204,437224249,418227618,729804602,695728749,939985656,341056248,447612365,22758540,125178822,984477491,860973705,554286810,80252974,399198159,594578339,248972958,862978460,810039365,161349007,62515531,512987787,361591015,982011380,899653793,547421807,872236362,5095322,922156333,751613512,412070025,253223649,788418751,752735618,757140879,537317146,212692195,453803946,913657566,317067342,31652503,445552872,211361405,532127241,206053625,391944294,895513655,495673495,953718553,579813761,945330336,510952504,358219858,49997971,189689580,208796706,462087071,501212614,743090234,146928632,483818878,682571938,353087584,26542571,957922321,691402739,668175236,600097037,635734735,663753681,111107332,201360301,965561632,293742048,944162976,785233881,29629104,656950008,548495865,725788130,124894132,278572532,431618356,623702770,210709512,247393223,730891960,477545457,335247060,251379761,246618443,682396433,88515415,54539188,405260314,181519887,671020470,938716751,852948590,18993885,181819585,660313846,30280145,488445555,745949862,788577938,161617193,286685638,676837667,792304689,968369578,931157923,879255322,692250709,755406732,680287171,158423584,62720952,217987960,481887363,92004305,290286047,82814681,589072162,609744049,212272626,77139394,709765185,934418862,470795194,963542508,203914004,238918857,452096370,670184385,159695806,485673183,188533241,461442475,314965658,662640587,620634161,648694335,774108517,412731570,737410252,778041862,863742441,988686674,264922835,529963882,830642274,2452961,237062570,734808915,27437352,285238276,396399149,361323036,795893428,620130468,410354194,667376802,73081393,513675201,157968033,524731859,784753643,844209820,84695416,554143816,55087018,945165003,934009383,931259643,914642889,949563415,518877476,834028999,547745293,141128359,520581061,159670253,535018421,286945695,206063014,937220671,302795631,163945119,995979999,538382736,984615541,449164096,94871735,351970357,702958782,490843228,197487723,946712701,407240425,9345500,30079058,237382916,910418314,100771924,250308050,770269300,872341764,183312392,722043324,252255063,268662732,204168445,636368485,66083141,74001170,24258602,913940646,749471794,798654363,759867157,118933806,984294218,765367663,188849063,584937800,61952608,983713478,816483387,505698614,434002518,820656727,97560301,207632244,142455281,274096018,568844417,714162491,687126631,268746371,70141633,882614056,387190204,170936915,182202560,12238860,284339859,502523630,134078702,594601189,514323200,942993036,552836335,483583849,974290447,599679535,925402758,689818195,884690906,788489834,221986300,796501722,565610972,659098996,634218780,89440573,712060941,145304813,198447597,101945835,674135266,249750237,91272046,215027355,923434162,854587554,850830016,281725486,537527313,590230274,566728351,176655967,460426841,516585030,100011860,836464689,991211378,117700096,740489526,904174002,134597767,698193377,160085224,61597310,804977540,411605721,395170152,322542722,605441255,635343848,754461505,827647240,947705503,187108211,985017359,404496980,443332051,116086638,672072923,114779769,130132672,942490147,631947682,183111335,60406724,569926509,338780910,194690594,770524014,730531830,950777360,215249376,766171265,366010281,973462490,808890738,139263845,440604026,853766724,325369762,175397787,689077812,527218001,678753901,371126288,12551517,998573973,515975474,355708218,19607437,85256828,784416456,380279256,599333943,115923460,914422936,662678065,621555415,457961521,46785850,357505497,806949581,835615153,75693342,671817537,952593672,692308423,482651292,925399534,6813870,486350493,348256008,973965104,631721411,449351043,349654029,725084564,116629950,795807864,63959352,593111527,169396961,160727703,896882766,440718105,397300003,14941831,796542428,973066573,474359830,160897615,993636011,917755964,418629101,353327866,692912259,288015836,758977605,220587855,311889653,372427553,892558545,485343625,852341976,666240211,919614051,664791579,437710790,99017305,405293920,337381192,745186034,331927634,750212987,488153418,123066437,997747528,897113463,506028326,756702536,679597173,550158803,319936636,224131134,86717735,494647919,552156147,325059063,173870302,173960909,226064800,452223490,684322354,602362175,242465508,789469379,374105099,631922035,851237349,608505069,937593748,804121660,526964902,261153751,153617900,633316965,85813334,376327640,58025735,52662213,916792550,549872412,379848712,29529487,161329039,242823728,234120530,464723544,602517168,563629748,33073182,513339326,694583910,844888056,381715334,153366728,110218542,702770475,830693143,130160147,726854274,353997903,291454459,232622047,300958134,949985024,436820477,704831705,524909631,639685471,978843522,989563974,158682484,756059046,20443759,93352855,765350006,179612084,191661967,999103708,842215351,550201219,357746861,105971987,955500140,887509297,251273636,193284347,943828194,482310281,970435554,462018683,138883050,283630048,668710351,513274386,58290847,318393101,200409383,148671587,544103571,389704376,934840540,395114948,998750351,735193465,269633533,431035138,26751263,282082552,565212427,669492858,139595327,983349877,35168293,814779823,637037797,862231824,214433501,346476460,627908657,238330866,322163010,358445447,541065916,649250204,159291034,102519164,19082447,333143483,788596644,774612504,177919529,665304667,784587498,201958944,398127761,862061352,51621767,902248434,204017285,1256067,51598924,662822997,885843236,827123565,311034651,357256327,540184163,541533618,872235281,310972595,111517844,958287561,610116390,546817876,455674057,298420004,701297901,827618685,500580698,171176267,471229524,731171829,556535835,732770006,387371111,222608125,703900874,29720585,439206971,449199725,940640160,394195761,83666936,993770227,196342219,632216113,631970414,893614965,236470606,37668076,686906896,443021459,430539747,148359890,410825068,943903206,665527184,920851249,278000303,329881731,96735090,990072611,945928149,206731566,684990595,554603331,959432951,178599342,587350332,496568905,270925510,582708665,457361901,79576438,289290053,285183010,933988267,391028356,558328042,991014769,93850990,299810163,377161569,152451591,205529424,66325509,107288145,860214685,423810047,663196701,317406522,285539086,109468160,163019256,79956246,187468756,356408110,755183067,513870750,777841413,785257406,696188273,689174043,707399453,898490324,510282695,98294797,725424687,471424425,878891914,548313782,402007185,354888695,25298543,343556523,887552252,363651095,628253723,424641399,303554314,784187090,959665179,551361090,952011735,906887307,450479942,385890015,289939118,485424993,55783210,420915361,238391839,629772134,265236604,192047484,817372909,706348776,859679621,19345271,378637554,947823935,37314056,971977972,522593327,549144535,866696378,147418757,865163000,933657420,907706819,877111331,994047506,705698351,176435728,19232425,860741701,717188630,725793353,56254120,185303192,558238041,495830918,392584133,912198738,763552995,642616399,369802528,35319043,429849740,649093236,668921836,649947200,238474775,601577950,180392411,263315325,322022287,232039685,864508454,642425576,166919756,586393887,998588400,842278823,951357597,9362776,686136382,663544569,658593658,931181272,489267062,753345962,862457041,400027,384513171,926112910,312157090,569603618,383769347,549396698,108067198,485011932,533483216,446098449,615041026,308745806,46221528,101021557,217026123,533872205,18013042,390989455,773910362,168435081,970213887,873655047,96631964,245257721,423400935,874021631,447147413,85097146,955263696,105996048,58226319,125019702,947402600,786676428,940959211,759941478,677379605,924522427,903226784,340997967,783782601,618136185,302322762,178253626,40968781,278460993,214417161,930082257,422343504,478517044,553608544,255859147,273498759,149408233,678454321,745910298,798169577,558532313,285936683,772358105,357810058,784453397,808099135,220277747,659636035,284976094,361552432,109633377,988674608,818910031,325246587,709010416,378688500,458673346,796842201,632362766,132951628,653378607,709102193,951483434,43810359,133931127,551823949,82420651,323554557,428410286,546319238,32343913,223284217,465756597,723787317,87425188,102137012,687088562,580387351,217753579,261853718,369898889,117054968,755286218,454265715,675727412,113511033,913663955,957424786,299256255,907993312,614406069,940437885,726946443,844651081,846959357,952568308,716910428,231156903,60704212,124885567,443569940,698100732,350177340,181620314,627117756,695198914,537321165,574674754,409823747,807475002,488603653,570351799,914879417,912860189,947938371,704247233,607888574,578357261,276449658,156714201,349293696,914082042,625864801,450082344,62896777,428105036,803893993,134154171,593993065,708105680,900804194,532946555,324885913,191331079,250487906,881526692,395861556,659604937,509078198,425014765,626500837,145573579,486722239,413250935,530042113,383104305,182241276,462503,265359938,622602787,265858101,105493950,142560720,677299248,641091573,240655531,832459214,310112406,842606007,443138141,676019127,627584932,405518580,811082638,729345945,398241294,435821035,846481068,56567626,267781889,290959367,913837636,481730628,894571616,96372565,921721227,455941697,926219824,41808394,638974894,554767925,807111050,939983564,829652822,182439818,955919270,815274679,921284874,632632424,611232505,383745771,307529692,465234033,834263947,203761708,166659227,722426410,472777398,995555219,225260179,922502517,334945112,203373029,362052402,196286139,263367523,906655763,336785554,637808250,448007662,629999044,57912572,697847869,633280791,741218016,395951056,800817563,135236208,507998068,938474181,13521028,141018139,53692097,644201973,895677722,145072892,312488416,553990023,725740715,618921086,68292146,613759523,573608928,122620545,507788506,548973265,879771372,79647465,767597961,716021823,907152343,889146719,716159398,286993089,825400722,792484083,621618401,528791663,162107294,251421931,420184126,535367648,929959021,900148339,804469082,967919276,514445477,470909946,784674884,597236265,90341287,558140666,89809332,91863516,380942107,998581676,247662685,345741365,87255010,878464169,428162969,88911725,312775383,513049556,411955032,390626175,376299244,552926100,551184264,156964863,477090779,304581905,442116377,403723407,878419945,311247911,308113873,243632119,795500450,133852303,999337744,102388773,477718797,965500981,316770979,876815828,481998758,934301537,197376635,902132406,457090537,957411929,855699818,628086114,630899830,86932060,590043909,515441314,758843266,691805558,171322758,981484228,684597812,675883567,384756105,53083002,894312151,22399591,374853656,306552241,764253895,255341979,457630014,509651066,232775652,584312941,711714948,546937922,555287965,904400426,122086209,971600220,34005876,914789069,848293593,95906098,63287927,786231897,120584109,74597532,375780893,163719393,720714903,558431012,662368219,774417893,602182385,150554090,261343850,831948714,284268037,282088378,507754497,89161939,35711015,114449242,863156258,546358838,597997908,436349928,752066274,302449322,45601793,601058721,68021178,28885107,466648335,527192978,800930645,405136417,533877078,929951973,301567720,458811918,275362554,465279795,266893277,473272221,556086058,86126860,656725161,589727155,142448999,491937663,269051296,768410347,734823092,396232769,910057789,438280772,259507916,725679100,412780878,386337677,732159571,51403872,529949472,44015689,557538922,330057317,18969891,904468520,459092031,775290903,814275974,591826317,406099725,352710814,299209407,912234115,757285028,679274556,646317880,191465923,730417869,828684440,982224859,734716508,381341760,459765180,605216463,95850988,305808446,535744230,448138175,833381246,511942288,280165765,160661854,485448885,585301786,969029053,644821520,886598197,552750146,239108177,105172360,166062585,414989671,68262995,117396508,60371659,135287176,848958746,982126037,313444097,426589261,38037342,700517829,680122617,411650493,920477275,728099858,376261179,715067964,988855147,515298890,558593547,369425832,915537271,920430480,723740454,532277995,495197197,712143599,340383039,368655009,25962459,536495762,135574631,875737942,452308456,235507370,269245900,826806139,724425983,932826181,740048320,884591742,937258154,724645489,24591171,566655276,241557009,516000436,512977294,808000137,890753973,631544868,430779089,362253838,170914584,506913385,791840506,33605604,690506033,383435214,325119539,543202044,304151002,271652991,482474124,744265565,877537970,461797809,429549808,819585161,891190200,524365736,947833640,391683898,951103646,757392798,641493502,464621466,594113211,578851861,295220481,445804914,350339054,235549442,771640232,300946781,310852173,281590079,176137539,140328986,784115147,22163875,282669927,75732299,125156221,231275457,453655813,793578160,904413487,583927935,836188558,804506382,32255780,864206936,239164145,394280851,786002360,887272869,818383496,921330326,29982668,324424558,189635277,833821665,74893413,365531740,959907073,772459568,784864452,897601284,423838392,126096383,292665003,272750060,805040522,601089092,8889201,531621776,903420636,135856519,111660134,134840759,893161460,229019857,662869021,508887144,619821037,994235227,664884625,564029380,374742011,263794841,332515800,437544651,129615078,814497567,339740225,459808621,347256750,390414466,138859263,454994017,699510213,52989019,478608814,923889906,395609108,14691994,895709970,374908573,333796530,339366292,836732934,254566217,977315783,59253055,464070009,270783936,813777665,791300361,221285863,886616782,476473508,868695558,240281502,301077534,943531509,871520579,501756218,139147125,746559674,544035465,591128424,569291514,301645764,620260620,305916389,112424823,272504250,982798021,696685630,396656733,752477286,746293741,828019387,859631951,897193200,544949246,149724084,110193927,206164504,114997481,998239985,810156234,327267861,538179079,751270737,292585248,146770184,332723535,56667428,182547418,729991417,433295777,889225842,290815100,390936587,900574340,47794117,825076181,328405186,34746111,65460466,169334523,87748136,259851578,479682718,527873776,394772319,102256553,80948793,158256183,960368582,284396361,954964588,303675845,955091369,985676854,143174725,303317798,863264951,458588082,511404585,549528128,981759410,709171783,623805490,934193564,954479382,448978067,823129006,407554772,36104099,600026563,467094079,760553542,957426582,652384809,274589882,863902921,493759495,965997887,505749033,584997252,145653106,429029046,730470165,791649508,208119747,553289862,123037753,132321370,556338010,829622429,465778402,617669339,415611815,422939901,899011095,500002032,893939336,71715133,273313441,731680538,59589874,13107121,115721979,798614795,793217331,255810130,133394901,134408294,367058793,15815421,835606897,666744115,741438559,464715217,195115037,748876582,111468321,419883391,172283831,363113226,38089658,964522257,946515007,838209190,862327696,414230418,264329435,98426791,772711085,548885048,713957802,405018639,19660359,436480922,131726854,36890228,183794379,462362921,529001026,423477341,791050028,509057823,793363890,846847350,102724222,933597228,269537648,731662940,463187930,289465058,403339072,527189477,164204543,574206334,778209327,528637752,303961869,184307039,200469146,383361256,214409446,325104069,712071565,709748625,299319435,156307584,422317088,52024907,346064405,286155492,287035979,255837810,639855821,249635871,924396400,429697639,58479661,203876868,943606629,969479957,91070806,493265118,833836788,871416322,710397944,446532802,542513264,175781061,275805376,152783150,610234365,853513831,53185203,126586653,668269919,265869415,859941095,262465518,733890560,492759022,985905470,807816095,15966970,696380242,760403361,26623586,51424792,235696742,72042217,734859582,92969441,247061703,845283679,933233334,723302870,715055544,641688014,908923294,681367131,15814618,421290448,182148809,61342444,580339807,43019497,97087045,780489587,28787660,853195719,231418974,627065843,544875932,619110971,751074771,9674098,289563556,457847731,377628430,699129324,826507632,391527639,770851436,937001750,35796109,67468886,188569567,80013659,262498317,814149261,3339094,362505527,900896640,79480407,144785403,825782090,538543583,56437997,274410119,358034119,984664397,830006160,741327703,100333525,114970829,703801776,536356994,856333767,355543929,377589830,801043266,255877035,626244710,412124427,779141914,600138787,525189732,447207407,234534983,364525841,490105921,628473864,409995,218597022,950349849,22866318,223529900,577715591,654327465,873921700,515211582,72645179,861434661,670774772,656320430,300991462,126623251,20833297,326722981,321998721,968394018,401710728,31814244,62543068,542800673,862673628,113132844,422898028,101067141,640810027,614044022,303964489,98927231,738130475,199120447,515915965,854560701,158076990,84946824,842815864,570423278,861389146,672536975,774164196,689451290,532223724,828938226,382982237,282112279,109281695,664562770,945732173,330262048,332844428,974396591,551491009,238592500,201223160,136691335,22289246,631359984,497376482,135072385,709784536,576681314,257626632,768277591,544906919,378212191,317966120,176175533,904336690,300554906,674197781,551772571,941635089,601671700,478178979,870865895,160496434,893078020,202521438,95318427,3124600,279169966,359421970,693921843,92118529,879405235,632804218,454847262,704083036,199321287,551991888,318726677,910077468,815985624,474307217,217447172,464839142,220358063,203707214,980014723,137371352,150365861,424253768,77527098,301699852,712571322,638200387,976182484,364172570,44890385,932150255,212757057,459625946,972394904,504492453,565908777,454116092,763593660,601109758,250544791,972322555,412842881,240320453,457323614,521577952,553543602,812142329,292023800,480227970,901208602,364908783,227300019,573751330,910518312,365413494,923087895,800704119,806953593,792457055,39792543,52377563,932150777,605275154,324058175,510642329,476359248,243515978,926082053,552842628,600558392,255727025,825214483,521869131,488593643,855856569,798487583,651797904,927601144,859903526,300354347,416605297,150289057,344244104,469506304,540699470,334488241,880561681,602114612,943725801,972445853,320907185,111646631,849653719,112785803,732412825,127513610,898404569,589302409,696479662,188072064,345978109,949236751,284242944,64546901,410610687,325550942,620383742,683254746,823419085,476207893,429210540,201748466,151378887,570108218,549644010,324226181,767970335,275204083,454520823,758386135,48109021,770444915,576314501,93261441,408555984,176083901,412821340,336341538,927158110,370885243,261712757,515343521,986186708,388072097,176271383,835198798,202166351,249611271,361837403,847876412,944644238,635960266,21484341,623961516,823456863,135882678,491888115,675117185,169725341,82038683,101795284,89023610,140273103,770664657,886369816,724600363,875023742,856069311,814206181,410342999,973188023,861785904,873779490,306316822,962950334,562411420,60334906,589901065,740595745,733045847,906097200,761465750,127636759,170595444,738307150,629236655,459912960,358814146,707039828,725218005,460591910,269690191,306208936,365949976,932815735,898418821,184144232,704367851,972900952,864861637,5131458,129896026,849748332,195492000,467650794,670710923,749459420,241759103,135237440,467068967,825089031,909260128,301368136,677487966,84190206,715763049,787946475,85426229,717788373,607166223,857520378,996719476,752276201,644200043,197074125,189178542,456559071,464997978,182850409,24721074,209762370,436808782,944936236,649977073,62762093,426850000,591352812,288743295,167884383,849818900,758216384,951096468,790787817,278790367,267924808,370180110,813824215,692374342,922086533,63629512,463501474,760665279,862147730,289956671,109344564,957353357,802854211,194404056,703556682,654448319,549301233,336424033,291511413,50771151,264207143,60650906,891296942,684378081,63851565,803452662,793950201,258374250,158559643,786008071,823051756,69744543,324298062,948595798,199449365,908772718,922084961,447215263,37719101,976677595,669654475,629762497,933876642,545321460,916800009,357288503,134743784,146553640,688377906,348993096,379382277,725697813,393095519,887496843,13552466,792313005,831738765,451178402,468093003,719490834,941694310,134551567,660206449,176463454,265004361,543010509,862331680,509469336,826238520,178469593,419234296,598726703,70835296,659639721,634455775,591293501,380538481,295075067,842649614,358615910,122300989,519554007,368124379,841432135,973270065,831525395,268066305,718874208,935493084,872535816,420048536,912884311,843012880,944475661,739121171,563578055,795947086,18417392,132998509,967797477,884685878,910459772,53887692,376735853,194074329,226344791,134937977,379458702,440524821,112771893,141401225,158310402,200463757,109303462,646431138,362580920,358566066,801866260,83213037,281515346,303021871,821935468,941456237,929702402,191467896,547053275,176700076,780547420,49758743,164945818,559123942,225135890,57678466,900346551,78751567,137974208,257717857,707906066,435063295,529163122,652414138,3149560,722326358,235276537,896896591,866308907,95753246,643728812,148837642,602461301,978951394,427877647,585542752,229034042,470630994,667268901,311714795,323980444,103417600,63467242,280531473,212830548,811986985,831167881,625738495,331720813,167571629,3682561,912552175,56024273,96222916,458757106,80153754,493725741,949406133,538206073,929405110,191715408,949850441,444703914,684589001,512574885,335347239,517362143,332940304,988264845,491464497,218456479,357875862,139019635,889152381,884349288,985705309,714204205,70687049,642664925,263158581,58166660,667254618,624034870,978427467,501012416,624727841,851668674,120055642,103823239,571489000,11145552,284011011,900295576,351904178,596866538,619377751,701778643,911516435,347467224,740832445,977870358,78588038,758798763,28209346,69045566,212080798,15900410,291443276,470606591,504613196,168916588,144374266,832193426,803709215,128199526,34035925,58493246,99675787,191162128,773991629,269083204,86678649,249301079,74192163,942969701,492731685,876550226,903355476,790269960,421301004,607800091,760409811,115268882,146735826,909692888,984092217,272568373,211778270,209322073,345304587,521184167,161585397,353758268,354303019,867632138,351711449,327583411,999810919,413436736,718830028,789676435,99831846,761555144,734804991,702905154,507466954,565440985,46416889,546299529,114138247,849426698,408001277,514316111,829521347,106779370,591880223,314140774,723871512,739891384,891961356,811848190,650635247,2497695,217521409,837398457,483132883,485173567,660050048,124261806,137924120,611701732,783193267,541480148,628686130,151179656,441158323,747449312,851009615,690677680,467764844,176677148,259604274,588255937,924710587,994250868,60153047,856224846,130647769,106247549,585382404,949044628,942898213,17157194,373319385,596298503,92225387,578107838,689593672,129718136,163489429,164455018,440436176,826880266,453984389,401291970,941994420,455781542,404329062,370871892,84406955,324568283,636662616,648654031,957672993,466773069,399664911,612772442,532266647,6050590,871774252,541799228,543327853,388741986,925896119,605738688,134994525,600635944,74358399,793313821,981041075,958130910,39010986,978809990,189899776,482107675,522317643,236230418,806539502,652748432,529149555,534591975,713159294,811246784,623363107,727650494,868836772,790530783,558454021,892784732,201601645,986321812,503178522,838711168,910734156,902633686,748795951,703135308,295800548,227380143,443668816,796604805,444969595,540518013,457192235,920053469,478277674,53480942,804809776,618027674,580199628,184918464,430406783,605119950,24234603,82579474,952748016,83105352,629545975,118238883,7596670,301417417,279649153,965968948,419567089,914588565,660707291,801484970,777220790,391374893,618595542,599369975,277971100,551068054,430746142,542397888,990402429,103596510,398852255,767741174,498263485,107649926,131930695,67780016,95577394,40481588,256216575,390235735,528094257,186446158,297941862,565696563,858523323,548318877,922427239,411126109,872876376,947855167,943390687,823320648,315077739,1894430,46985937,715593466,723437955,434059767,903495603,134175694,594608838,814303465,472786039,603765436,168174757,337729535,85823455,372017290,14481079,417171543,641881411,108760597,699530551,999427857,637620674,583470847,498364778,392943313,913292596,374241778,809479278,744428811,752181602,595535256,805654383,984503897,380764846,404150961,744089770,454085600,185104695,258401742,167682814,578124604,814305583,89291662,830470139,941386621,720464608,278235808,32646969,694428514,124010905,401011556,469135717,580189090,733703990,173151093,458051976,996103771,645525979,166638510,380452898,618865669,513020252,305568777,816154314,80519670,340024286,896655532,459126460,83451619,26664820,528792996,857074339,770587707,168791385,777135211,723204128,470156370,368305114,392655192,340442233,488741274,738774538,915811448,453850961,711013168,670311924,202067154,513496256,527174931,853900450,440149491,634539319,611627524,685828570,658170924,104627652,141498290,667435003,42525125,604998696,610891597,807936331,592195228,116165367,824004911,249214109,335987511,187189662,297557997,61076019,962239730,475117,285488891,925892599,708956231,277495223,536675441,185856627,583406417,949478082,749252084,760897856,478746147,317368133,169601909,38541069,862592823,116576314,457757880,849708179,767224607,142190235,511826696,570189294,390015070,711892825,643032350,125663801,669101971,675195995,993307473,800139353,531029877,806192309,254442323,206605073,275198834,715833068,897645041,393311721,117733251,838724045,196309477,386931598,654629572,967756973,562645726,257894759,685021261,703749866,965782278,993581016,612315855,33739014,871378125,610109922,33661981,772806024,914608744,607672166,765810032,869939044,163504188,724383185,995695868,275074949,425491038,965314444,467114715,595474086,90103446,857500653,13583020,622617789,917786542,389956158,963700570,686349469,611358960,831305925,627760763,952007680,330446675,228433653,419663140,353093966,689515830,953945808,888266705,860477793,245488882,361889837,652528383,671576723,573326411,161949924,205297746,454487231,427953190,210769893,143752649,884061790,128201300,753701273,927111442,353054164,781665532,284697589,736710038,99003676,806157024,186112142,816505539,703523681,332013528,592742868,597619334,586142302,65347810,416800512,887267269,187528777,249703304,477404511,615012160,77148196,707114554,207638682,132966056,678248411,760272784,143436590,31366701,216297021,196163128,707880495,796359759,978282957,327227976,869649521,499162061,214817198,613421562,723670472,438580092,448918365,938425303,472107066,372785970,635961143,493351466,889818570,836745968,504245588,199064373,949234506,931134009,98148857,303099379,606084785,661286844,215842229,161649590,759748556,54740704,936062493,842420346,115312880,665169675,445830725,680650556,971669783,576144123,290315758,298974949,372261141,503792485,558972859,784763291,410066262,99835863,41205881,359273466,130386032,700555386,488153252,972722367,579272524,20860022,374343634,902940592,488286218,971680119,968612856,354239598,552137000,565274000,500060298,428264912,568345221,354951716,559597024,439908123,326404924,999711527,13611361,180693157,54319443,810863151,178328257,233182170,519741579,659137678,80478857,396628710,268401019,957151503,841759032,287544600,405371347,49635909,738881269,55994787,69596012,389854863,310868010,92841950,969765618,644720659,184842931,265122868,435827952,879669355,291762407,310060874,982782338,558970607,905750697,832041309,140796403,32932288,134749636,870968963,104966761,232125254,382428222,373329696,931131621,74029544,959496712,359817113,117586042,570731840,989735440,768525974,915306787,719002451,389547857,458360816,782826291,491114605,20361121,757462655,472941575,862177161,277977626,488326782,397052773,964836138,290722088,914386874,87515208,912446664,271125967,68855521,467244726,193246111,527470919,777140071,364573680,247984009,782994732,403192664,432181085,804766203,138887443,40926898,217404157,397785006,343154310,411003437,50910308,46120604,557837724,730970305,667892244,157671249,567517299,217183364,768964602,292288996,726084178,984091090,556165701,676112393,715499360,893361034,450376959,298376159,206152161,826690591,186352683,498401434,990431704,647888645,396173505,196393664,730332426,722893724,713824076,29659329,228665082,22787914,144422781,478812098,634509311,972661839,832305135,276549905,803778828,784546139,763067062,665361074,100009675,187666573,238352632,962624932,227089047,573904368,512274965,443002680,304982008,580245517,798427611,526803236,65214972,874797917,13173859,901188001,131754819,72465599,243077659,25548671,57893849,202109132,726338306,676837644,252651788,817875338,950819007,28326502,78208599,404510276,550275095,996198085,354255430,924711677,228262377,623668256,613716901,617802340,969016631,212195501,217087853,423321734,201391564,753662987,653534488,789965237,568044289,590211982,136026623,226586837,395430349,410189595,590414469,195926435,231372447,383865198,588595962,303883912,223561464,97016792,499238064,88217551,434689132,45072583,463473890,978943611,466786449,378529431,399290714,797236691,695729747,472563644,220092961,793305186,335219296,135339617,274640761,681461986,151055183,287125289,391840150,13390131,786330111,971473872,768485869,433163291,649393280,468638728,26787775,644847736,29104244,792035067,213379809,6030925,690462470,310569906,989223501,723517322,61231338,837849129,43974737,849225654,676134244,122660100,905662699,667463032,578643818,119769425,473957304,810129249,351277990,80708362,206806395,850966150,730881597,773867870,428113774,693011158,514228810,843629728,949361324,887849520,360848705,599652316,238569579,452830353,777946892,147363136,253350709,54408939,939109510,773526982,616442895,295476152,110796155,666494943,63732654,120134794,292558690,177637887,744513894,484882325,995727497,814895264,377644552,742244626,661956056,486441432,994032315,396214816,550667240,508454206,127650140,123742134,265075338,496448696,291986391,495543770,55935584,212335560,431583491,189587602,226181211,137772546,708251431,58496789,525496073,691943447,706062632,182219023,577279427,891233087,667104628,789453551,349306119,381468165,346452256,660629534,468835927,317543233,181280639,156321142,140492817,505586235,808858058,606810032,62853159,670936809,356538498,873031937,704013942,980438771,241347513,900101037,92602830,378117479,369313615,194879941,641903713,731277452,486928439,829629689,535261299,219439331,724005868,35949817,882017223,315354006,845988158,172056264,34710033,621445003,684814389,938110219,433028695,278409509,21837260,285076750,200367827,981568228,656401143,91013208,205762188,930114814,331327302,159220851,319733217,313014552,584643673,34816437,9932273,508429454,268135109,842665068,185711952,775955576,194369244,330103713,582608170,897168702,221725593,785189714,851620401,859106218,768282282,643474717,973742257,434251948,355132327,395514466,182493686,990601690,165513246,224012022,839938098,202292642,946147515,196727126,583726385,541839257,131780008,732068754,405044290,701808487,926151319,295249707,298800640,65566669,6352645,841524982,235979546,84798353,63413746,98610409,575481313,156680744,149924126,900482856,487882591,70061216,762665625,475791477,285758197,653296231,355463625,779816297,763610858,875583257,322709914,526716792,740059586,490814912,960100933,649134382,339086219,418566344,31363759,541137557,677055464,440052519,410404885,547966728,66988963,571551732,448613424,102373754,728291423,696299503,747263449,493991218,184977755,217214030,351813867,579035938,439379002,601621890,979931985,138621025,263070297,761318893,869180407,260333094,903113767,104045822,890678971,934741660,893141672,828919107,721871192,204909819,990647908,743563919,162277560,238369363,688182926,255208075,732348554,284442203,583447616,151308611,987699286,367384042,465809453,780221339,57355950,142003689,19811230,401019667,273417311,403425091,844106018,64975565,655077125,394233285,169608962,61747153,896967217,240551608,475533947,805271161,700634661,314068804,614390177,134201874,883978682,536912687,781769361,401887741,320226733,275332175,303558150,133535052,788075804,968960451,41354619,91651136,427251782,966521770,677547965,719642571,633771891,724383424,825430581,655395326,336992104,891154842,406601673,658451968,186693092,970078190,954026497,908519306,764948372,560389138,837911824,45450160,964064732,434533499,67653515,91696932,601415427,225528771,719355084,182887460,470738188,514498141,768622939,891523429,878693573,426211536,968972854,503344158,57733044,222689518,134361004,277286547,909163039,548190019,270486053,626649036,601599103,892431803,854891985,584907126,595599887,673581630,550504467,129443384,899803643,401503281,198309405,444351632,32571979,527555291,338666356,435904818,6902208,576737420,161075625,893056322,601723100,527276886,266703348,109356845,680730716,308953272,182627246,78511833,53272194,602467258,974577007,483690382,653625759,760859677,273986862,749337551,337252285,499840443,154066088,999156976,480349234,995300198,515112633,650267301,95516996,857384293,6994234,356187409,233428504,144370399,867642454,761748262,568944879,627524916,311986665,366470316,932293440,392623298,976131786,9237605,960097968,630681739,52717489,544694835,291630239,43700493,592674674,85243604,411215658,10964444,842455165,340762596,142176968,38154704,386115474,4541487,902683484,255491570,20711292,696622415,858104987,213167830,637820022,971744286,719727138,240429696,251542712,43081610,526511482,17614252,394322399,607971885,589123534,485105705,153373988,6901497,159261064,744565174,503777076,886513200,792936121,165071504,17215994,151739967,758287598,449894654,928578318,871676232,618281505,215896863,5206731,879621058,821895829,64456694,972046719,396145033,471948027,613459944,866927304,285435702,758903208,322416580,840434169,808898406,872369617,244964602,344702785,79463435,300807838,901625645,648541050,991568858,309234283,574627320,837431547,126361181,481746312,482206471,431468948,818559813,278915041,41412018,82276271,832508250,668986931,967189649,742558396,75580036,563729902,361021868,25520874,39668891,418064856,725716061,954597249,558646026,230657513,213924775,772912637,835422742,407786937,526155233,349310815,844813914,326239592,193135880,967362722,320157478,209157722,535265436,739953081,981190571,213001554,313055049,591784355,506896831,570803541,301148829,113729546,390449513,272740441,407158858,782493934,638959758,613929517,804658261,556048801,854364532,815962852,129790153,937847627,585400749,617629838,595590510,740764211,929057910,985650557,268942585,573599474,667341999,809484609,151382431,762407875,391866987,438378605,878686832,179288271,975054636,211693417,405978801,931622383,446337138,519312620,141650222,654284551,509553632,235137033,308260321,921222126,539013023,965739312,957883901,751817963,78407410,383026811,833093291,74145303,358704203,991697060,365966,554929138,547348223,416217813,99381594,730466218,221257089,147160302,7991883,376487650,137463287,254821474,579163518,537659953,294131906,976002218,506420363,581773354,512420409,236602677,120196547,220312373,547888340,656289759,723568119,294678129,895610905,593921885,945930035,802901342,906303406,893692937,362925134,914780834,19291158,222989799,875835733,65880975,632492051,365218629,699146016,239086018,658552689,55226027,142160116,923521072,928332584,595567902,829833127,28676557,702730038,11826708,359649650,963564669,15283372,933727331,458292539,337957220,298005295,514826175,744668974,149260345,605790440,312152990,889884678,618612132,101027749,44698061,393352598,871093088,347617465,482773224,671322001,340508875,610747552,570971294,298992414,591782005,520935731,712598781,719241846,94673749,879892954,935174962,308304035,21625707,153045538,467064150,907232282,438911771,568706515,147953925,768558057,857412334,34236392,231305161,344875651,294868824,776229389,187977884,265277164,634251390,483591766,792955353,968187184,128665074,474259995,504290777,862006757,444907345,474487336,890344655,360923553,197913143,80929111,662400809,252248946,428243466,615939967,35680091,787358890,259574575,677274240,923825140,996289551,181629193,281095225,500362495,615495876,259075745,844099071,309254747,522303792,708943453,80954968,51631654,583454669,484190396,849798237,341701674,744318588,118845946,998955401,13533465,980662539,534088044,556556609,730063607,60015705,719024950,545066174,929073311,881504142,717048403,803614620,742389143,137445609,288741436,321772808,904093841,852504861,749135137,956689913,356362855,485504838,490165911,508100766,184581725,199104579,469304444,683800209,80007553,567206010,991703046,991924626,569665548,704627311,590000182,997304428,425704408,245240002,794149534,918600174,626642099,53414919,555778518,502878008,466219265,48866470,370262015,533709790,363136762,876901421,536497465,384652877,591426504,731684710,141518951,740586626,881335857,403835406,740331657,316444213,898684814,903202284,366588130,142267741,113245978,944446567,668594218,751284930,262313459,541010927,444826801,994669673,44266760,795354543,431744002,308189785,523902742,726157810,153221023,264304449,159183826,886382121,836205471,602223018,189176906,851393660,752828937,995108494,440696721,498858298,540701991,5161707,754361189,256816181,882412163,98476536,655130785,361274280,336669355,882016121,614623342,68609527,321262813,619074797,174322527,384512651,752185158,155487326,361166762,235226878,957554629,79004740,183323178,715489281,86048442,896529919,611833612,25919456,192882828,865127030,887830052,844886375,488452216,631410913,331727897,961970765,227106696,874736792,350664776,209907359,412329471,997550208,605857497,364540409,718930548,839588014,903838276,832108452,243386969,269029856,16744490,243019426,980681633,104794931,120677101,156973713,907687327,253598159,296584000,84830153,3130472,689717550,305946667,643273705,34047641,743537407,718610053,957354020,293595419,650889633,723319766,197569889,915066041,87526993,411886522,815456787,67156903,305757867,263927465,202839445,627680852,879667054,399886269,802114177,944396802,479223396,438689404,94469488,458382355,378122199,3581762,400983533,489281827,783692824,568945578,905587416,120417195,153556183,873430180,11018505,80786657,47856656,945495503,944577795,437670100,818820127,75343059,585074704,976841348,223952778,228011633,521894635,886054082,170181466,375708652,367405827,578020112,213527198,521534511,96901259,100098133,357019811,548731868,128101951,788027768,773908387,271376824,109927453,281820378,679388281,622931149,255146217,196975561,777236873,96046734,335765072,38110401,92079909,534826608,252598727,259350453,809770768,862264185,742027381,675142252,819839258,548164135,559548407,346204673,380048703,935217140,408574281,234313008,900917023,307878795,51588722,956097233,47923195,370856973,140662138,992760551,929149295,234577202,183010367,856757430,813169553,799184940,601528225,119180027,845119980,759461648,768372553,444031022,459270677,437532720,302739700,963068169,67178672,458366354,705251407,907602747,704466214,350435904,977866334,668943938,721397335,460099033,368532804,405012198,665020305,154622770,239599598,208263086,406787491,943220483,562669258,682668925,175216772,829950401,250212153,140122264,307952638,913129296,457583123,151390152,814387341,116851867,608746448,974417153,675796668,794059089,987130017,418883952,986527813,987976830,334968040,738130293,563077804,91885424,507894910,380783065,180943955,289680803,187762068,549646007,606592500,919868141,727005599,65818295,780689117,62071663,289164613,301420841,798115798,702478600,639847953,202915617,652529704,530564283,149099453,418270119,718358656,380082192,863401398,283201802,739866724,332381993,60121318,217773249,782318418,626572654,688995284,475209604,253551620,428591677,318154222,527695880,354504064,195725077,865249139,186221099,658513889,107699066,972176612,454214581,658320566,737753028,735914905,537917400,39980733,308817937,322010342,686416432,353725508,829141115,863529634,35438064,637324751,444471810,194770435,365639506,41118482,792587098,906941089,10447773,641511359,111746839,130061643,644805682,125405632,364721130,901207693,180406440,263827277,727178976,623610266,114214603,972887158,654875560,984285896,829341861,434996782,307055545,509194138,778735151,398960769,893698530,970324261,949506381,662620062,485886139,887759849,123418208,301693982,666620925,274107248,44792196,721223866,782498736,724943253,982358011,239802526,982577429,327159372,64662143,768858206,243735616,235801436,680788808,583095413,651404762,739022577,55653149,466004163,93918796,25505604,306617736,614263443,340372930,166433062,83530918,620159140,523006287,905134263,61779640,61770034,705027635,901938967,647485808,580597589,859479741,143077670,928534659,878052258,882723028,980380206,562046924,839223630,257041616,299826612,514137080,235887794,11259557,120763664,351383374,571138324,560043595,928231887,58028333,100784210,302822114,100649052,456663240,854579577,417520364,505306010,29000235,630526300,682245286,803080981,471802504,105054213,32174974,362842956,175468788,352321726,925910558,942304784,734297636,17031225,280647673,260440185,192728111,729043660,513542739,100667904,646133023,868205520,465672606,378017707,595236146,176797260,533346106,752928310,414159709,73014658,266218267,858719757,649781155,546999803,317846754,806182330,167524656,428746623,605746142,432219305,602598747,896957937,699606293,611995514,624478295,538165160,153919719,659353930,848484865,753273087,2503197,514939142,941312038,935242316,47565225,388096393,315138250,137729844,218863099,715717377,252812292,580616694,754346214,181209950,418804207,291642445,369714403,885402938,515785145,166956928,113409751,21411481,145776138,393857436,375113872,137722579,658814104,659229761,42336371,811297524,294698497,408087214,969912275,230956630,705679614,39337354,834557600,732624283,7877543,789868842,712727641,451610221,891465501,595121214,262188657,295914140,69474069,48703885,265365099,274413529,149141458,174845120,959724180,861298968,682325278,973116235,989078569,659507184,814873886,113648943,775910372,465975694,73374041,318032051,181679584,659861672,225853190,964185473,955349958,627778977,628147607,959441751,105143946,645442038,356750526,500668188,642928075,835835264,941937974,820668149,989740217,418637912,981432609,136761304,542786493,788312174,562096347,131790828,711920946,601540612,106569129,117737519,725509741,252840747,71111722,208317574,175825693,10451845,772667878,736423604,808140412,168724437,138906327,477159391,723333425,671438089,701121167,652815588,835246167,26100575,271299577,956955071,436876508,398427569,230171846,469237996,52061813,499516249,635982202,666833885,941969931,889992293,489882106,600746884,720591319,320155324,655907371,347439012,596156565,516672189,265162444,304398413,252191440,585665050,5955456,17414990,512865876,705460257,855212610,275116981,966398822,228440987,583785072,410718134,707397992,476931472,852539783,576650214,114557275,423308193,603785380,17854036,119470318,131726099,853893210,835525199,227841179,108600630,211955110,375075900,919241392,652192032,410828025,340100929,667121272,140753805,597422088,836139179,490513499,760977068,138284769,278629027,918798322,744163898,540186936,254654055,874748942,323240132,132906306,562043486,86662795,156180673,933691929,917037682,71318532,546209427,688326578,348818899,477674216,18620582,453323598,502877660,968670673,723626008,282881896,676411062,291799717,513695998,839459765,807777509,962022962,651584280,961908164,206618045,967864020,911738427,483623969,615793567,978820955,113227945,7711219,607585302,871830225,40829844,683481138,805259538,392570077,402628151,716904158,781033733,614466430,768007108,85335242,836808772,109363228,210689761,61533275,253726246,44031723,633924090,701531477,694473718,255582963,329844128,18772639,502689461,101320813,963580684,773773964,994466242,13264946,682439654,22305442,285775246,406954456,367394666,846661584,326817208,397122133,127046241,928974832,998529435,999102335,935334022,190701160,333677620,522372714,85216688,281245765,598295454,904468217,779763414,114072147,615295203,543339295,715361578,624742531,637467881,856612963,457252923,204571465,451848796,902031281,701597017,427028481,654320551,224538973,56452996,888566221,960995711,860420335,572179553,361523049,722133156,474951712,817809043,227849500,826400833,561728791,889989859,70098657,60936509,188290012,583722534,850237478,946605875,553411733,85782527,555921722,271956759,833771465,992064918,129014074,453907161,498378155,422642106,313237022,483981731,617908364,899822642,213230193,696732234,966695260,409819762,915414251,878794048,903335515,87824527,226622140,543989006,810596720,985967750,490607425,812097151,754503682,551319924,956757454,254860230,960260795,286703666,478376152,287825370,771590004,648163553,217791773,994463281,869217233,227560650,772075258,513329337,655480950,449958149,532026262,666436998,141917306,309857720,330575578,971885534,628398184,517866021,644978531,39347031,795356420,336682688,548068645,41740521,916440555,57238951,704602788,2179089,960335953,140143900,798047370,263064414,1833129,398380124,164736027,508383674,112868977,874522926,262742447,22105707,203455126,575720986,154256725,825201866,723212000,822169225,423627053,899393923,103181440,485668554,945000859,701769994,285805970,527800222,787906173,872982010,372142005,728582156,529467656,161971069,749370069,49596507,994484591,37627723,828485352,73004205,751787055,362974931,957189665,147570552,276202839,285008036,145308238,125535091,165526105,389208492,508409572,488658086,969967003,750938515,457441886,412154440,48247863,518078910,527279026,350369152,754379324,411791903,847648809,792390947,398429639,874678321,478751278,903639496,190937503,467759211,576360431,396411038,370320962,86760586,48890884,549967274,648708480,344918265,677895912,244760333,237113371,193014631,755264326,978084947,366323508,664712400,690201623,749253884,20192488,397620182,738701258,6192405,166771969,321134403,519615414,69911175,29417383,670134327,981869210,589674564,116773783,32670571,256128915,397161386,298130990,956891532,109403349,791012228,822750035,361693006,373279239,51357215,988358569,573994197,51912718,893254192,712884494,449809087,73117189,931604457,579017696,459404172,803894349,302858632,997907756,318939568,166311797,603739507,174387114,300500269,503595517,28744350,129652351,323674319,782388185,421376230,816441650,167614312,619392830,431183162,478487014,544465583,463545273,580271580,740127583,337946893,116065949,477249120,47080061,41189427,611863084,281557611,274798704,636839217,400207278,348184200,459383054,434514549,572143798,287067706,870169953,944578697,913004763,719699287,598887926,871998665,51228464,788338760,253922889,419212340,323051650,186539237,803924569,576028789,656896100,401551712,141706099,672609816,194582928,235607680,527984559,739966266,488604613,637870231,996814616,972887262,572276603,250036327,196020218,672697798,541157430,135922143,274586141,680327798,539654507,13112620,935712895,280517486,440443634,310893121,742506805,31355490,917113584,374421577,107474255,553998328,430838753,240402983,440161295,48155998,989144222,685130510,273603820,421197991,23425792,558332444,758661789,747081511,829791361,676741117,248223811,873249298,514523973,766372735,68770531,971139566,282668950,226746748,950403128,315254712,976599385,391328943,418752852,581004770,792325223,864409867,181144310,308077590,273369261,495881863,177967454,444519347,554607855,999949890,887815904,109920616,765312252,362663009,540514053,539458825,750949981,88065865,981445192,567460440,92835150,713104508,52450262,559573074,742167682,679250401,161191257,191711220,118021984,143240743,771639447,893247555,93090732,789898774,27816761,533980450,708315682,362937825,800286266,262883340,197765387,977476994,817682121,324042310,798075129,379446372,777263143,913841257,695463429,753269269,555486074,69975,288150610,253181098,211908396,430023622,874260094,542933203,52295155,828177799,955230494,962580066,309758044,308906096,353123439,900570552,485569009,646606346,588084978,235981827,38261393,593388176,497889077,678221406,895077016,904986334,388214833,458913392,989740334,680393850,225167442,336727236,718707555,765148957,252226794,925271587,335946104,610713981,875195000,571685396,441757399,532994241,984414338,352520440,918972025,772026886,421429409,127340052,607635045,852703797,247603181,691018255,574611082,855483574,208702891,295345549,417217068,861476747,526627953,900395484,710296311,316527146,29557777,224936334,385229114,808807628,726657810,873366144,237270120,865991994,652178895,563944740,386592877,583573229,150426629,578665652,437026350,178230388,306030492,655607496,858535110,358526992,505517424,890128894,627714281,492715240,691639548,435774083,152608596,648502664,540198200,150429054,122065170,425359089,816991536,369185303,354709937,456314972,997001188,556326894,764830345,11389471,393133250,302186259,301877880,89710241,647125485,289187045,116593585,731338093,712851039,111387287,655090492,247956569,492200776,266201168,139360937,384274221,784738605,384515570,441798564,220579830,128987638,25125237,367707188,631647271,54860138,865370060,28307338,363463991,685608881,604115596,958888538,23588505,122285299,854422943,950316303,186701588,878299666,227054910,757884851,470511967,237215920,268298744,615531312,691497401,411522327,707808013,180268489,755833654,596581299,912567366,163278969,379480149,312400443,218694238,839341284,401582606,759572950,613034073,875001086,767406774,18737214,564769026,228359841,784595292,438982488,592057746,83730639,896551643,414370826,831523613,426947543,923576484,44104814,664812076,213427039,133730939,780185373,189071206,672363735,444732405,662363464,388068471,300058003,85447272,305889373,446965308,151390140,425005032,884090591,547239812,385961411,393900349,235362021,26185980,372046310,74411656,922441350,585175849,630764625,628476758,659780526,578236447,423337486,240402068,947653324,473826373,280922949,6425326,326902778,238222641,122075813,437672997,541351361,72905645,37925583,753072677,811038338,381344418,983470200,894634472,795267847,380500666,590718793,28689035,541970397,688141872,151192397,81831263,118233286,655254853,942770621,909658294,387708024,149122659,761360760,883550901,205433215,34254493,583467098,801693092,256563011,832523243,594851621,218408025,453999354,509915354,839075625,807678339,961405485,745446933,10538423,803921080,451994362,504151884,782869570,745760657,992242956,818823070,620799935,294186168,293410278,612187556,432613930,100143042,321760723,592570173,106127916,22251706,661544249,302275095,234364126,607732498,846663999,586503771,119953984,767961399,279386025,896767376,320894344,487195416,142709257,197098005,690910516,324028092,324703128,898403417,992101260,464749179,344795355,860613822,90334120,394690723,338972088,971857282,219716326,790207538,704309689,966250214,197747341,73927854,691853916,456726583,364014478,162749554,422685942,849308368,98258449,786031902,583593641,151193768,886393346,344308898,534056440,392591044,574043015,248173302,675437257,816672884,715888754,556733421,950048701,81688327,117933334,252368271,473916120,877114446,927869663,937299028,481780394,71612855,84439371,824154723,682453209,711552581,547157748,757670576,648244955,632533364,883271918,231442882,197231112,503521271,931263628,845171246,147895835,491506617,59250894,249857344,607238198,826178351,780093029,695691128,189317252,959343046,42977377,717658401,248302355,633125307,389193136,840655280,444355069,290260824,630209171,117781692,302315847,178538274,643850645,167283128,988638878,760899407,939375023,169718196,317708684,182069423,964122415,398496835,903625534,871050934,36918775,344758630,788073300,957711584,27743567,565428382,426012985,580232675,277266927,463093206,942904360,403170700,472049622,107460383,56230173,903394298,10982104,350454891,571542205,265051274,248405580,586775003,120951842,377768530,37440216,543307586,992896302,227874930,651570417,595916172,110112814,659153181,590264203,745445168,881661882,902269720,574192167,140001064,982748511,828688765,229937896,36613905,982792481,932520021,478589606,444164906,550405851,157864085,886951337,43274288,493048909,579449593,802321879,166931264,26613812,844798173,948777613,180785589,520086764,215020624,794551463,252879030,102456659,424863154,331591100,267136868,309421183,300946993,173073359,90023854,879097498,731790750,854918968,845820708,630800064,668189835,960847164,179296390,192976301,812694174,158164732,527699548,114530598,571989422,405492458,466414313,748222009,733557864,803642307,626159320,863496723,538087460,914116528,637419347,766748774,249673153,197879991,791844680,142681154,792164907,101114283,672019285,529210383,115935482,384667914,912140360,170879592,556673448,394452128,370222954,487729618,498776090,892838796,61825621,774529914,903856393,797349533,592303775,27848489,331895899,967230005,280057018,804275800,186058439,717844362,807099504,576790511,61414553,486426408,794422070,880166383,538188276,98465104,599239206,496780769,61176461,164031418,538470784,417453397,920738437,124934686,884031826,346716628,560736033,759647204,254630610,155051876,854323265,316542974,485690690,931862900,269054470,128517166,571898834,790590954,555999684,967935758,163081339,322115694,233217081,76306741,580410934,928773589,443132187,789791411,576690946,577717043,701181087,747141826,387881241,213388618,710273724,103305877,576045566,257684232,769495099,157146147,60610911,497953985,811654239,342683708,592381128,583295580,641834128,842159008,806901734,450478388,685859894,619636431,615397955,438812809,459541323,645484459,702781606,995539654,495098768,947887812,821498006,892171934,332368403,907678856,378117914,54241986,712656079,786514298,174068212,714504572,785357852,960539620,259022180,998514324,968902361,830329397,660354432,582180260,562596092,842970170,294332502,872718022,263049393,227010767,272689272,270080795,298056673,183221515,395410551,853354960,566404422,610259603,40147460,138159676,898195195,776541667,187805525,963224065,383687398,854948571,294223044,259634091,371011192,230508856,500058174,963008605,69258603,179433219,385946830,61559669,878735762,556601400,85868276,853598122,278402629,601198352,536630620,161700808,39477464,379951510,140962692,786701608,747653430,107527919,981308487,46617662,232459835,144156587,466451619,209934665,496818420,150861275,869810387,877153510,332369941,522712811,989959353,918806525,132916423,866579281,662464190,167238929,669578921,638438062,521575399,272403368,172628534,614074750,372456332,890664118,566181134,970695239,880770652,668018226,409143323,907259249,397104964,246430798,34776012,847736859,170296136,415184042,765992596,864271063,406075018,180016528,355021838,348633945,9110915,586316233,355612930,348304272,905190132,537045934,661903705,991111381,391251111,3454750,986571804,103850332,805246485,872069047,245580766,151226610,624737921,201556281,453910441,425869076,390297133,959061880,639157725,339361037,31318660,319887362,942473611,242025977,744918682,24582591,546295425,335931096,389538558,541338249,720907657,982758977,447887880,883838523,921811080,769383262,591889753,651633142,732534875,589898983,668374752,903615906,1075770,450179311,588665174,638268843,300780032,142539395,981797787,16548116,728268126,881889842,921749158,370706528,765316691,401921933,737024745,884957879,843979712,382167092,758837832,25024891,536843505,240024404,30332893,509267749,756201272,871294985,886807957,328395257,672914057,710966609,150778580,154826975,255903790,772731223,991611447,485474261,954608499,799001451,158236038,742112463,780029723,579117624,211988176,104892874,990359783,340670798,393345193,75045557,607544865,904087474,666668498,772194251,175423319,642511199,956869684,164802478,650565274,548836679,535615084,3805566,45751067,701210143,479401262,883672511,488620974,194329230,817034175,900645818,222418461,388710562,446488123,563749386,790310575,261317302,591924097,960045975,947470124,752332153,94014506,740144292,124372723,958950144,703953600,493911107,527478485,676551493,748621486,427455401,611607974,892715033,847743737,912426594,510694738,188520162,136288820,530926846,769002224,378925499,701075230,44864208,694983208,917396081,613647085,123369372,375313501,710226898,740908057,15874361,462352927,896820106,138460015,344555975,184485241,561674883,931360976,388000846,530377482,711741623,101142795,152730536,984365546,332291343,814706938,839178612,403926923,683413223,941476521,868429514,972591453,397674032,786846185,392402317,419347128,785933585,361511961,908267138,754916007,959314423,377089536,392219804,727260395,796040073,755674227,79199503,487170687,84154333,805718010,396527445,42139093,472007328,668064822,18377261,560475452,385354698,274536907,630397981,135412590,80199104,817528292,919766525,315043484,405102581,819422494,13994484,464851733,123937918,729851169,890488775,107015332,933296014,462204278,677897103,827486354,822644955,324157572,194276437,880964367,946393546,220540319,923993604,254724950,991658317,3953914,191206153,370158151,590321082,335014671,836257012,854111030,133194268,434081007,493953807,797782348,506577789,961583228,148342681,579607781,748625803,424442714,681175519,98359914,455189544,641984384,171782624,235950043,654242730,714831421,608484511,473792036,719744959,438561936,252660501,156239041,368283737,806356614,918847947,716937527,565150966,534017129,471351937,469567339,914208094,906864286,788051073,495381436,758231337,405684951,382116578,396622396,166699528,229972760,498955267,52405334,173268538,640536823,739083266,367134049,611900543,255991327,216541778,874010554,753894693,183255730,439918106,802847047,911766952,148929041,635346293,710998410,888667539,907473613,719745830,704889161,442564585,607943056,240590173,264947611,478310615,408919502,394706263,20543660,155714636,95104084,947766544,620267879,959868934,217338223,678177045,475179819,764069034,384847307,365818678,252851250,530908866,652258196,599828806,948942644,127421767,580947135,583074191,351032090,305279830,75224105,297413560,271582763,888502266,245219995,431149606,652320932,900221701,482848123,419474247,996771683,90849615,763739365,465847852,684253848,388045901,277939662,162074600,701943724,70486895,852903852,286771883,486422086,169021085,63620795,316478874,275745743,911483050,273162932,590392485,532731061,833121134,24722268,359503710,949195115,70296818,703732684,180333173,560562290,824275854,907553718,284946572,713336581,962682785,852689421,692410249,783583987,464717903,352996739,743479075,999071806,890076037,233626044,612476932,695320863,853193676,464865143,284874174,555293932,66524433,559532775,427686489,403030671,685853198,467016517,273943528,242743032,920691017,299166109,743816605,56311482,567859299,321997331,727243661,66093527,183230894,927468427,427130088,329475371,943501076,742815368,501864029,968941232,27372280,650448736,85089839,851888573,961914626,406379021,185443396,9529199,553731449,226088329,372690595,381016589,118506861,858832638,498632657,420287102,489196981,563532309,845409240,318030892,109632684,932189148,248407578,519657313,443061182,698190533,51593086,365829570,986215483,37876672,139268840,711668538,991513282,45545476,11425960,412786653,600649141,696699567,678946376,703588723,870229618,28660293,862169282,422179328,344771840,402946168,667914366,885918821,322795601,417246666,434325632,712372125,603562718,326541222,437433539,734467429,623617380,906998007,779992367,213854783,822870868,40070858,524774735,103083860,859302184,718798074,543488253,213363180,954409791,469105577,26486441,841337415,313951324,472500875,301237415,412926932,612254506,313773471,599787468,687009851,381941916,713533414,967675455,902918555,994731831,186802806,434906437,448682112,839712802,775347068,934222473,103229780,451328238,398115326,112566461,781735861,825895617,802739754,424705781,529718544,68381410,503863630,363571151,211134905,611821312,711190240,914130003,964452668,769771818,753172582,580201147,349788900,295596655,478667231,581872281,441172703,316901925,602466655,610941185,410969208,482777725,308015716,171110920,763134502,279477430,402517460,128878821,942088563,829145536,975211236,563417819,358238636,597722318,621686671,724242955,536097062,433267272,582832293,896268786,12412317,472025555,597975690,910458812,340588184,672411764,593700522,66893402,824852774,407049491,329276995,761578074,505591435,187825321,434374231,242284315,855627273,842481020,996360913,663694072,449879108,823014828,805500536,855470471,877681103,452038547,930838133,392356467,274892095,226983608,960572269,117726174,371392020,976263140,831795564,567801939,545933920,289060551,416507562,660595733,698439233,836570412,493851808,94262751,501131908,910099422,433802127,714231972,522870677,809691770,997946084,412493547,411168652,483239746,12482682,385765278,826676535,806597606,862889171,951512903,190321020,313659325,820568078,917008144,584144052,725776682,489130323,657369486,693231378,287197320,550391473,714686456,210871618,358046809,48331060,473026830,72169821,298818293,388824851,671242612,133655417,921607032,917505479,988128185,905519063,600544229,802907550,851751910,142716618,532615862,979633489,4612242,809880098,118106622,125926713,596683106,443502550,225622554,978215170,997280533,537248084,571855019,881417508,273391686,422768441,39499471,19106147,396402546,527489474,74171038,164567940,930895082,980402261,14097622,904913664,268460253,249464811,294064255,563514080,740357851,957030104,68576068,678518120,127386828,551018773,880832678,288321149,674140848,463431304,149445226,588895406,341328267,101450002,426246682,946571394,277054266,394606613,151402431,177487864,784154920,85406705,921382737,463488808,702784133,77560820,423510082,942820916,641911041,583410494,393464845,233514349,607960001,949811557,228066594,496590967,30432070,153702873,964896874,734685423,898355790,681637933,429117225,495375948,517109752,470362448,176480875,155024312,132194598,123071051,153752941,472763577,864089091,297466117,383248609,216274741,844056199,951622748,710263430,564967786,538841108,820257307,988687576,708417082,909254846,17986734,415341106,719888343,298461043,737498111,193199760,556749391,472898985,62460259,800879566,569353236,492518017,648008640,395299138,287442563,950800668,258574051,703727171,892000265,148405379,249823991,417746847,212349068,669908663,996658320,739270239,112900980,743959592,144020779,353580204,570069192,147048529,558050879,132195242,520050994,263249694,281700833,24858632,712301286,712314242,225002445,403140375,689645251,605206549,65870787,303018332,737544281,189108788,115384401,19203586,621501752,893996,930457549,39657114,613009241,194666109,996048388,808352477,411241513,788116717,791667212,950652011,852847974,806042409,931110243,41100916,26938943,673912342,522505598,546324100,338297710,213412683,260100308,356530344,483786077,772638938,262797078,824541473,508001677,549205369,681902450,680939267,438514037,990982418,513338252,936663835,789896355,884219238,83647823,403553708,935174537,284638985,782609134,762643151,963016580,306754177,378130526,55294042,923269234,412655090,587477087,763793386,669765997,243773074,935271975,45403740,866235739,346507096,176415844,578222853,106564863,941012197,640588196,71858475,928112338,245006006,89378243,100644175,770057854,819870033,953559364,954009419,324865640,670063464,585705236,788489319,20966765,266204944,810633087,164119111,889899865,666799399,487703958,201940479,194824801,808719935,816176423,877591822,790430859,748689740,114265399,48320718,316703783,593317403,118731879,248804503,837123521,249072934,821443037,290431616,654846205,166444942,769177638,545179083,180060999,916366935,918174918,300129611,156064070,619047422,839244786,400254795,46258552,809886516,676525138,965947273,522472190,653951751,125370384,755219059,145271991,754957981,522733499,167580259,812757045,884195776,660550171,830290847,968317267,192643419,620311193,515429522,328456880,144914878,78113311,686959494,3107461,387355800,252116024,301945960,140468084,259711613,925549127,331264439,63151621,349496864,609696616,351368850,282058681,540353745,18444038,588860976,471981712,921084223,273898811,888223692,440090351,599618763,58989047,239100544,498856365,642278644,131087829,324638357,390689488,564255381,351219756,525994068,904250233,49863156,142297577,630272297,466382513,523120990,160069384,236509713,671608637,789667411,346962096,257579672,997522513,260327573,74715894,637232888,304266163,878785278,514395019,959534321,219831491,303693662,590404410,2320770,775965307,77858707,253337566,23780623,429776660,659893548,178078063,581624815,539262463,307855960,913012652,656501698,660584393,458330563,411484199,340589754,171402227,633502664,369904569,745463397,402205624,459743316,784131774,602917484,448264711,967486007,566273829,394809566,964232701,386870582,686090092,285569234,341089089,802360479,405681628,237953873,440582409,854858365,36416951,555882778,520929002,448430043,451144338,51057673,507468093,517299965,560191455,983563632,116731094,338350349,943537345,34306702,145890281,482115060,66401723,631472276,854398157,240878986,121409522,728287115,77220220,394567040,250836789,781814450,988419040,544147724,650402876,567851216,627824305,616104159,237757594,928177465,979764676,510375634,317959131,743941506,738779965,560666028,866876820,537719731,607022366,136136058,710881750,386699501,237713120,357132930,712259385,679616746,694799642,80789525,964104497,899595764,264742595,617234368,912254417,839465120,909273179,987123867,303607747,322244296,493989556,209980119,269739567,757319426,922116521,598987311,170585216,666853298,507562982,202462721,580240424,800895458,451733583,204543636,157087061,424965604,277995443,825718290,404689163,704572169,354419630,217996006,390269951,766660409,995930066,835163129,82147416,537455707,589085122,155233919,621707388,66940588,997322488,948946408,529966107,646641177,244039671,861089424,595893387,400363682,190709709,168734300,856436647,724205711,500970923,778530517,605117182,76082915,6250189,629973929,999416387,707061449,784834141,262693257,111297673,304343167,205498225,614118828,940031833,323132556,866536903,871820042,681775401,57041397,137272641,372342201,666313499,354025,180192090,162516003,904149467,212323483,683247638,631407549,336898500,114197213,259423278,448907811,317475516,300524814,860755023,836030796,126085895,280366673,148547415,62892141,529593140,628928471,865514313,555695968,689944866,955677071,5323419,741019403,921902436,113125072,963590727,862071140,86257664,152061198,392490359,455021335,46155026,554074362,292925924,547407388,178818590,601590297,140173300,157089959,89365207,988428564,36693151,425102199,899768966,205494229,818652675,905827669,973136661,965782482,524196280,671529851,301185104,513369617,126777925,610017355,877327255,93917794,214172396,612153326,511506089,196988073,921003375,948075888,597492968,29532984,843720109,134969989,162406708,448267685,208026812,395733038,731806781,38445332,399421008,938636758,23740115,144068340,774280045,519089995,311458806,169573859,44167091,319443691,225144098,897441622,581946157,223144461,714742823,438687936,258935237,419487876,520822217,83746413,767946488,615442997,690957679,6159447,614182675,40015458,732903388,305238642,92936811,676353080,81159181,186284579,443244988,233419702,657223924,547471820,215171356,168688796,31515404,292546716,466136341,458360231,206231895,467511831,558567501,216949825,475555654,729092184,31205287,829011154,484737244,209764914,776818312,379029917,294313761,636468986,676952890,543685094,957196463,566929053,211716871,614341268,936059831,882792900,323078336,923228214,144456494,678712307,953467697,194241302,751299382,136812336,173435139,257812489,73400914,626466674,396842383,824571307,174257694,78361327,860121641,651797122,465959185,897320555,439908294,688683125,358721156,477330464,605246434,778588416,801426453,758748644,4864734,433315108,314547759,386547172,332508586,514719460,209087858,539997829,887820115,269915206,381253386,123673899,510782922,778163514,491598452,929910759,543430086,101663009,126296233,616858871,146908253,309844411,25450208,890132627,207819194,351771157,587999403,29952705,557452854,743251017,192312301,242033147,495152402,501936014,717331243,186039425,4596872,603318918,31854088,661337308,590582611,346476959,551764589,869275290,570845717,139196349,477967336,231203644,119386,312932089,803424627,44586520,989829165,795617913,488841641,184612564,518675180,396936652,233314913,402473889,474601273,833928874,91010230,428204382,976783936,980243243,366602689,365373830,666602906,910245413,969805643,327721452,83110937,754628944,681571280,472170875,930284466,466632103,225629680,155157584,484391843,180129929,977850368,639088655,319874942,334578174,202294526,251526459,981052631,700034982,832230581,748423768,669779364,159277698,881855316,290390865,894022343,182164670,288770750,77349817,735392334,493042639,887268227,711296330,639754597,993154997,634040742,153586391,960111738,486472030,296185670,847933156,810869084,484774475,928283022,633813920,816167468,552407388,706077053,21900732,258050276,127336969,670983039,292521611,326415149,647201308,153247950,243532913,749364391,367977318,910136437,67330565,612832206,665204608,48664223,269233978,613528871,970337515,29809897,573672384,907211078,532089378,409821542,350038104,268493219,4673322,521637269,906792995,479901854,83145634,502798981,38053970,224476049,872084046,126502687,648523025,266509753,486155400,986589692,221330355,91776816,248545414,561461783,865148493,619467874,534406931,820972032,500340472,975396643,794095493,487897721,176601392,38706260,557261767,832567484,994599704,355819395,442106101,152382128,39883315,93369283,346076370,744931966,720666372,276728278,17219152,640115093,890873179,633887,358459019,262732112,38065227,364656613,87896470,866027667,901912843,686221925,871858494,262478740,122106699,613728848,19484554,725995086,855995700,262491361,838096970,545217913,111533850,924203905,65855457,983866150,214122521,221701236,567989883,957926481,149997443,999977627,192706452,689287467,12026848,375113635,619550774,25279072,378697789,442498504,233467005,758448169,69789381,989354517,165621103,126348550,453429178,396216050,891282839,248670496,163219091,442772247,551710508,72433779,822800595,80782104,136028587,536036550,620870466,277685049,826678450,414697173,804692910,55631095,600111086,548420766,481868550,661381494,341014429,425794153,402436422,381743617,696104021,691836884,434378397,938314837,285531326,488481476,191061481,484169406,241979419,602752647,88752206,836574568,303580805,72521478,371816053,125750563,341194560,663244405,200503818,304774080,220644302,666663292,255584834,57673449,969846936,280710469,508258722,595632524,650559667,217950003,993665290,160999289,275357457,863040945,284285961,51177178,175533467,964640764,710268118,151997116,367832681,606042872,496130220,747802255,899602443,781112297,232561640,910690193,408339180,556465437,454891631,80869939,4824681,10789270,447076879,147617108,986785842,561849762,430826655,632429362,699639795,276862455,939600923,656036738,629300026,242823417,66146404,568185195,515453960,980829706,933855942,194045181,68930310,845080883,909316486,881945504,141262980,887740527,67846212,540436150,733488801,910730629,107820424,321185585,979083900,910491675,59811891,736538362,122155445,340161562,56406239,872471387,998484646,755153409,271494671,29872685,873149384,931865969,181626775,745494388,290796425,34479420,400375650,352244550,500224217,942949946,566500109,421631055,534903455,823823742,528646219,158432970,414456704,170509644,450620625,223688570,151563851,350036249,26732171,962888616,241372715,317905728,912405054,40315186,37708259,983468165,738250074,615787472,224133287,890888652,516771971,371438158,177683334,566093440,882790308,293018545,919626919,638143209,168549385,907135509,636449128,463930579,692179627,770013544,227887050,874575587,848256255,535742469,205672582,284480531,710510698,834607407,961953996,424057824,463959937,504867444,778131151,397187063,676388098,377262615,976894229,132298963,802255231,13408745,176103030,108161777,159260843,943302664,511025932,960989157,437894423,904674428,642247174,724951926,222697164,667219355,359148209,603107470,75167129,799010468,937768479,315381042,990509967,931699494,562584798,693336868,383047457,418372359,485443276,27534628,735586404,544817935,610004641,659158835,890429487,577108860,281299897,506950018,781825187,632414254,748488675,770251251,73978842,719864989,839587433,202897962,952611912,161412215,520581389,739389714,90184605,14404726,598233062,770679094,328555670,890663092,410071432,993988286,172140121,787556867,25114112,209025600,428974367,366545411,316064194,968632866,10057617,375879005,629250242,722478333,110710806,938630742,112389554,339433685,158820573,707584029,630708006,205496724,587738831,773595365,68504236,461227353,32821928,813204057,423468924,606761986,247757027,138513905,994163343,345465723,937970379,770964977,91705772,898193256,522975985,226794094,910574289,612936097,523010188,612396704,805126419,162310007,77134577,859679153,48554739,273653646,258276999,977873965,461179914,822973077,93778040,467115060,967013971,342655915,336740686,601354927,979873974,438302079,89906931,512687855,931170306,435062107,705886886,237325327,934028842,939295850,895789120,451104139,303292591,655080947,555954864,102993076,27205131,214708678,84282433,79473822,461333098,522920370,163092537,367244179,189003578,484621882,448607331,89242064,595667447,169929041,163545791,524813372,879999167,606108091,284622448,211508550,194543826,296314013,241157618,82307845,433081546,834745676,540779660,970058795,99744036,580285903,204073476,23786125,879096323,298016608,73801334,590306797,131227206,278017911,719683612,733716457,933782494,840416608,497355128,125800087,16155676,580302175,687826186,909672196,42792865,365465677,891340384,780002077,229610477,781993666,211455428,296636080,127498892,734032658,229160835,423421698,990328224,721823233,743016321,825571498,538185690,953033876,630386329,56797940,286202798,776780236,102207464,398445082,665017772,61164302,695671614,108048882,138552023,734256477,520368278,464393033,612931261,769142599,798338875,137009919,228391235,12671470,242520545,279715950,925540469,711172659,900233280,724113346,956241407,176854734,972921338,592580647,255073094,126587520,366390784,716889309,517121123,948963939,710344533,668445736,583887293,671745822,943675403,302305619,752541270,641291092,467428653,522668209,454450158,10208289,291583496,477714934,676267241,395514089,961354972,57100994,758295006,144608445,545180218,304641652,274630382,212055121,910056264,122443014,469548109,262922787,428901958,11916891,734388579,48337636,296751479,591782216,223178795,505253536,422811818,708075735,571682993,508852393,10656075,441703901,493483228,485406604,552053376,633262393,286826685,106617041,832935360,648959972,464490251,85321466,940186490,753491953,113012120,730860392,11607719,29307505,127328011,299635330,241918734,286673801,696416573,190063471,266154408,441025966,731137755,786395247,454384123,245814301,71270234,616944994,302804095,284306281,611619260,235978136,314689834,85319098,489962986,406236960,955960222,991891155,905070317,392248923,499573718,596375531,566749041,170719679,800449645,756751616,385671562,881461075,360015169,397622046,198897402,354171636,921166035,792535191,126369276,26724424,286477338,809626606,433681261,613484040,105437434,594363975,740568608,828308854,768280700,274256100,344635829,849495687,478200486,523259128,749646609,691101509,873408525,973254474,99391531,73529920,986190594,29924941,358981248,538715573,524975938,706471303,53314107,74931110,46420030,736841126,938605228,686001551,32940326,189625676,425208922,847914344,281655828,939739442,952642409,324878761,371562994,570837389,36824528,744020281,520710192,258082559,728853575,946268436,371387500,147675226,663062210,892182986,890915827,348996743,76881190,770433209,347424100,81480113,918454975,37845001,506709473,522850575,617011236,251892801,970035978,488400444,105738410,922487430,554314503,119018949,290706810,160049744,468725529,217007999,365985182,222372247,122904431,61892430,845139045,316941798,298903031,744908732,967605049,670832135,650729409,544464789,491294860,760543202,933121367,906912481,269624566,359225556,901483463,188687291,47188100,630842452,67250552,791318059,567991723,388328242,97053429,234841319,917773814,177604071,918957234,246793861,616590686,523701960,15729008,578090958,765919563,600626513,743338117,150018352,514777167,292160932,178978161,558448418,404280756,67717124,422592128,143393271,68609833,992495976,498529389,685580760,768766178,21887519,95227699,582842169,434408101,847609561,169378340,206041599,554571731,438062780,212792252,454068887,616233411,812818460,936162919,285356894,88871628,555176479,161340703,517294548,6264127,788903074,104586796,810353500,422913431,504002063,110437304,754344639,151373429,417456922,807871391,784974009,763295986,467245335,798811806,143683784,795324344,32021966,71027447,928285181,347582749,225230498,870175204,706468938,208090958,338179661,250453528,134330888,49218364,505704520,401327186,90629965,356965390,857650386,848233387,952436706,314307215,64996081,385083134,967273483,827308915,231476439,153533040,662137191,576982478,108315732,259936344,659971260,748703273,344861682,477329630,819097486,338484857,842529488,113992846,851728191,531391758,458258467,339948663,418152942,626325959,550669137,178362222,993719234,1131903,460642927,894291564,714631745,166418948,909129560,358719478,656867084,418567960,913599224,951714078,641642838,471808481,166552723,653303948,374747040,474571068,361350649,818000401,943383283,153100628,545862990,703045469,197826133,737928401,298180599,916625570,302667528,83246379,181050828,688296907,13677816,992778976,556319706,168979954,293307754,936358279,806840736,755663040,168285852,686953994,912879377,776057590,268232166,476017207,782471529,69875115,766197069,311645161,424348974,117209380,102395690,259917015,365696077,676543274,610320880,830627512,521946871,483965788,309037490,980242780,934344458,399566120,444203266,629816773,359876033,447861073,606450710,20220989,240711214,553892190,696529803,923988712,378686061,943670421,195315059,671941603,34225016,216660993,596980933,255776322,729289841,152980954,958747726,73300943,224521732,937298472,985122708,955370753,107051768,68782034,730576707,552972590,197376350,783458471,758484089,520160714,638069026,467266341,124250921,830597892,7717661,290280422,667044516,989799082,72856078,688977243,328743961,674266680,824279398,593885121,216890220,939636027,516363522,18565446,214077417,386546384,832970972,769390313,380801074,219630445,680396343,95302504,425088879,841025081,112194314,435067422,24916549,459519658,559161899,830945422,576316743,432783581,837727335,871192383,404245611,254618198,110328105,702625592,729120261,704418933,828440854,805763575,152701134,879447810,72651617,97263454,52639193,877322329,451246202,423194219,465945317,525783387,87396789,999854117,254059655,409078321,920561297,131520648,350727178,353753759,865115702,126844704,558945740,861437168,84499531,34938026,811304466,702166959,923511713,68231213,208553472,781088776,223373044,617908893,460436667,275431348,264349864,537432196,706645215,442614363,206689757,887882108,703849408,163926801,994741213,325889314,439670776,657715430,546184958,801682548,493738658,128007800,142070048,249829608,324138909,666903287,654514180,286619822,983275944,787397081,12364456,880413866,422745462,132245208,855861069,154881461,751371618,376901762,798266093,128515655,342671952,75400968,361807755,421787266,441173538,976995377,669409639,426971870,985936160,873913216,383517200,342540416,619070915,753005720,329216741,615013281,925347293,173924249,474217550,958602911,250601719,215404372,667912360,873440355,996765106,736817087,688017363,655088171,971303060,498002605,901453159,249604173,62478908,324362728,156514554,399364192,619993693,305501999,108506411,833342683,751184565,596551311,316913572,347205681,232793716,546940771,334237967,71792607,633797296,872489975,21281325,185381344,994000174,996950282,818127547,509067826,866387402,984374814,218728088,167708798,418060695,897634130,990973895,954132083,88690014,84566990,108366511,52864695,268496838,601883285,653454235,840934383,282912911,59415935,160117962,300705403,319936521,973583376,56185441,636819516,918621563,84188141,974608599,402288574,231435909,578144028,550748669,627347429,428390257,942324078,32012798,323935119,882661818,533879117,752447168,8767161,379031096,362376815,123904644,31990014,342124429,66396626,871411428,677788671,17184038,438700050,756616372,946055194,941470963,5731403,559346148,586594587,608189078,499044996,975095288,292347280,320542159,588058440,961777983,568829059,426325413,179987518,334478442,941174661,214315502,966341838,488666929,612124052,436715890,141636342,736741093,742378582,504212472,93097286,979000051,837733097,725034112,228041321,621113154,188131424,421944153,516434427,36973457,99927421,15223419,696759046,564972831,52396443,407161177,302861349,294668362,416219022,652073668,112654913,928670887,509850915,63753256,676986905,616744372,295061146,906303123,301530267,382082492,300432810,995218808,694207018,959201969,636662741,514021611,597885433,967551161,217311161,270221489,154855792,36751932,959268657,894791373,521054088,310784818,560802490,696250229,114254709,100652260,245263043,819434394,173954212,680433076,241349741,800129232,582885382,829943027,42469067,841924489,103898144,350376697,677836407,738700904,925972613,56552358,588136140,226552547,942974510,640419874,668196114,251290767,112770551,930621729,929438784,599639865,969853754,338812919,95086642,364492094,729213418,943493316,342998945,363725944,473563000,762190261,267488518,882373694,787415667,313454426,921403956,535655401,531645497,76894016,787913999,523967253,947085162,784522756,519524559,105605190,890017793,326504390,750606465,97550787,477586416,269001914,382262833,34782605,811971414,309058552,52449876,763615130,2992814,409542230,476313614,544155175,862583555,10868604,390119284,72266068,282697933,225912968,941952967,530741868,361469802,863033047,598093849,820644728,633347785,419097795,442469853,492777626,77514069,933044406,889164303,490444932,807259418,605805071,354301695,815571964,25905017,688998647,175911201,130634407,386426235,615200475,670028457,395016831,362571446,809884687,60193769,441002315,236859514,94208694,857578227,810261275,168990531,939473019,962616833,225886865,161770426,950924365,285495527,175510376,30089191,171320384,843176612,87693270,385455348,748335654,315664640,782807129,233617242,319656937,237847733,525535086,612986535,508558812,266387367,424883513,467866020,643493194,174345129,760322537,747842378,735815369,326822735,408024170,137151287,220133754,229129546,637004581,247546611,906146114,47459009,216119812,878281014,797448305,18876747,636136779,49034607,102042684,124526426,698604146,474305334,234809631,940201863,704159056,714734495,357589231,939846655,977791858,878780985,740825971,646491211,831665156,296256743,603457868,741597619,529607970,950372783,512087009,864635915,63665606,321316640,524562370,319693195,547268815,50651731,7243599,665438554,856615686,529309753,932342725,730281643,886431761,265609018,739149244,342728229,365335783,790093092,357534326,363933514,461124076,836349560,328936357,728837564,175252922,784146877,987560419,833143227,670116057,177958839,770198145,443972306,256852052,893163341,807027567,500744969,893426527,765792830,184010940,435647590,558959624,352774509,646992831,224782973,66245116,987222633,347633341,566804028,320017237,908299984,996742477,401728903,503649356,228059492,542681435,95952896,969372749,337641734,583738682,301048848,399784599,379705509,78170949,52751004,597544123,425374530,41668535,838407610,769178203,373222125,843295175,986989023,568223828,695001542,194221633,709566878,915333723,978233602,707755530,513027142,216748505,519062681,68714469,817883391,234837655,396906847,16851404,916222272,979923416,523934101,354740907,301878971,737166617,386433744,308744108,674811663,949783580,260932365,528563229,720486148,691276754,404338957,635476623,456904827,222192034,930164641,215400708,188312433,129484785,962413825,433824714,562145697,486776723,797229111,608167180,688189305,185474688,128034967,350608404,556039824,408323715,410959606,285298212,213482250,213802432,688852235,586535029,878081458,225017571,437525933,636924258,938338968,783229193,415205766,953278957,455841569,293650797,752961399,954189219,527279585,214264491,679721698,593854547,561139124,216580502,369253868,455813474,377392123,798776881,733184257,849314005,687817074,240568332,484853001,699376881,621783386,123565210,969155168,607831854,312876454,695150249,351070947,93596227,837180878,304860515,84840239,194955827,127143532,832123775,120236469,25194490,477157813,237029320,259768238,329559800,411715654,971698216,945366199,219430266,813809415,842974706,243164994,755921658,334573633,66201948,276995972,474387284,657245500,506722157,703578190,942347453,257060956,196898123,174540006,108885858,868137090,2228621,197301920,333450690,513479961,895626819,175280783,317639016,575803192,240903117,100248208,714533714,259472186,449065285,119017094,895937296,472879467,123075225,613110235,912268043,43726870,872303284,909466174,456234949,341436718,935205819,747071926,153150519,442678244,460829649,854631118,113874517,538431436,867212886,763348591,885537772,923512786,984871245,866616662,510886921,336271143,328381536,523312284,100002429,129642177,452313484,581653915,265320952,841017622,971886910,317970039,882540405,438617925,390430546,47660496,633870398,297360412,112399678,780806266,316673487,660525871,397567699,997837803,123523975,92684274,955517124,700968547,367195091,50631782,887115843,352168103,112711910,129152114,334654366,793786896,225523162,226926962,809369076,490630584,288929726,970489569,155944786,147482697,576560379,318707024,785310481,655858716,381792443,643174871,157203643,387511850,99595947,861337147,842839114,794267787,422195418,412835844,890376517,822896854,563811591,914530118,615872475,148711774,29046367,387586465,728506838,913262487,738374157,787246389,855744258,798700498,154060653,200242024,11313707,156956349,216875339,676414496,157840956,460709087,738250727,238553139,314065898,876442347,780931683,453897536,346363337,287302079,198317575,558635351,486829366,901271152,358939142,466944097,600126142,337259831,849128068,181863530,330623511,200363841,735981207,475976233,514308652,461471053,589478889,135195619,418926791,138894873,426841353,615132698,728928792,489977988,162778789,797017709,530029951,599214699,164968402,809896090,357911984,947944866,759261034,863521467,205235659,852288617,645809249,313314691,561599047,601765581,559163217,288712808,299766060,81854310,869892404,846988846,227624819,94951747,974317758,688587476,523345642,340133409,554931703,707606690,934825757,977063332,676443769,497948628,295767276,32230773,472693465,584903125,277757992,963382516,995335291,132433791,385175929,400772999,305561268,628325724,183458434,367534384,671568755,258239929,579584449,238492899,472123752,272886897,526963826,592377645,298980283,870253133,933506238,501089745,970430095,143184081,518659054,238202261,930113706,698876041,171464197,275842274,757472688,317561756,992830968,652960888,545003896,394508361,482460460,821272190,155318536,290374951,820398386,538578626,162175636,642325225,168239024,199818842,592861202,531009192,513261538,595862244,647877023,390625580,640371247,320053905,435103109,717417403,253742546,388312232,411140905,607140817,963911244,271292616,319074098,894285690,56141241,715670782,915063544,669400888,788815320,640563728,623808228,602829270,807697297,797843313,693450049,848932075,723693789,103305080,662617452,332061072,434129290,395574662,304104704,818812766,508834111,363341658,103846544,828438368,206310847,498231112,568753285,89106961,374156952,432808162,740135392,785489184,336235249,253416745,66203791,458171475,404258008,567764315,173091468,123389435,916071755,971865164,42696270,802297103,503434348,225319714,915224688,961379509,437638225,301696472,352426057,500736615,547943656,576424210,616870763,96900388,304753086,524035694,130937320,141361164,439740361,342946385,866948043,856158727,23184976,920939472,21233557,536449393,839835211,988816120,490137471,4502240,898265093,510905070,604806019,240565615,667836615,347514084,984985551,643769849,160019817,215360228,958048409,103858568,33853058,180987248,737048070,606128143,827776073,197340072,908288583,419304487,569616647,576753545,98524052,161269309,173225890,931242106,775249252,641705226,248903423,315149266,477034077,745824816,598726450,644242227,151049933,324292023,567229412,147654932,667015330,932129792,490425442,764097080,569884950,334670813,253220174,365782862,184116640,836725128,209737027,524548770,431135448,772849164,517570991,497547748,450591166,596352935,415503372,343161030,393352943,72633600,683176350,170377419,680565510,46264116,329631996,825948957,255382346,296342658,680608416,120732229,181717025,557539646,992363299,108259539,743987980,748948943,263326229,553575891,370720166,733627699,681849480,495981940,670498019,918977945,454109099,310453862,424404822,718964748,780069021,202662246,809749591,18738498,322439176,780827093,6844341,331230689,981515532,325006050,643975492,922076313,111925140,551297534,599109850,842641849,554502704,900765365,386157356,542353844,234546365,669494365,370276609,713229300,176269205,910019600,357858625,547282428,112623793,33147808,165098998,577281995,508379046,100276269,147341199,30799762,906666333,569460072,587810295,210353802,279693027,857475689,23741304,525241420,624126936,321370526,164645290,684476829,391500569,912608832,568778507,74983986,731489686,855991728,856956648,742200298,582196250,480911725,117942074,853233154,642642657,880387579,892201770,473780175,735907906,501819561,375399563,732645938,967254299,679552354,39154366,258836677,818025990,346155699,321076484,39646700,422285119,868362909,991110141,184779383,318091554,170875223,850678125,263903713,257679296,881587097,889280260,443073406,128691047,99636094,20563427,350984451,567309438,321770768,625505235,838762000,188920842,812268433,457920209,455655585,987131108,457298473,74513375,138216544,464403644,695190164,699946902,117203433,926737705,85777254,82542492,490831844,17789029,331767284,475990450,818666166,335467705,412487570,173586657,583667591,764385908,79559961,82099629,392576220,225850098,831439693,614620679,19159058,521815744,394109853,901623684,855219231,779020431,55817004,927661248,256491468,605832502,605346696,51099020,253683339,154032618,244976026,863155165,315821014,469566994,569735529,927691749,442881008,488336341,532245939,530277543,266487144,304172529,448585313,669469038,255981859,558877659,31612390,103337413,455025408,435349110,284930508,385378937,850326667,445850276,195691027,773559022,360184975,707239141,825860238,576879144,143549013,315895814,189928619,245313159,930664208,97325209,695250338,867633093,510773779,934111982,666687112,542357743,254055991,66537683,860904541,671528056,464458717,262434890,529063591,124037275,566642816,141985059,510336208,955340544,281533155,731074244,245246592,488846257,935030508,897891748,76606021,918759002,945789772,376647568,801280581,759216182,609732744,542014429,507542889,227098650,129083395,919573569,801539524,318905506,962336007,643618034,681136033,678785791,217530345,361200616,973525790,814339733,694235398,140367675,566408049,223283513,131685352,849668471,492896080,471511842,12303425,495682687,237021611,941165508,211679887,439731276,772535907,605811268,289087795,156905377,538586438,225747542,484393658,609558306,215075125,405630379,524721610,236987780,211784887,144969497,495336958,800863681,636316102,368858843,532088125,848161121,77269072,675186442,485043879,866686643,711421093,761596288,923631304,710009758,190397140,555931282,167438702,878129537,944599498,605255267,411408596,92901459,169826068,565271751,582348513,759378129,730300476,159586564,24453745,930326197,614770714,421787911,688217097,772134659,753272845,678850963,546051773,279201843,716816761,3577325,162244158,578018594,818673538,633514021,622747970,999170374,611802676,722966553,133089394,764166258,527919693,10752540,923610901,360647428,661858038,267048644,178263184,676339439,295695036,853110345,163649322,542677736,860325711,189541820,396976597,62851714,380755646,325710217,151847457,450879024,544960589,696152825,329112831,670816685,289065575,91675538,579787289,407105974,674912959,52444798,797709438,947350407,13459542,931520910,737831519,163507318,856522323,930298022,282417572,665049377,677511026,720741878,544911830,125797503,168572877,819718480,453513648,703699274,796778909,986697593,611796651,235378478,708455900,262955996,490329580,32302660,178857219,417085173,476632934,539837364,118654339,301501388,869439596,22768403,803451215,935018749,283168022,667908195,305634635,261931534,482803776,157316503,549022831,430743986,344421334,190841398,526006709,764756263,640961432,451884094,65997821,257623829,178932766,92527028,698520147,205456340,719518813,504613556,920008009,430397207,669933693,778862984,339512328,593141445,494146161,440664684,99497051,607185462,776006009,873405115,888315533,541511646,123881991,752626394,620574471,558105659,659222585,942972344,7727958,78009969,423102657,438256771,46220633,471501556,258874982,886065684,833318302,273379046,470739983,924024688,804839240,547781520,70684010,509056914,213720718,592452261,812977014,761545463,321562047,729161130,385895250,511310807,21273798,646484490,851149442,693054754,291633463,695373142,474565158,40664856,479079822,540971247,227659670,101321339,438615782,71627960,627756547,511643055,382768210,697245778,602344036,929358885,627110576,947387832,684436400,308349699,72825474,570117520,28291369,358555242,336046483,478444149,139169322,670095932,371729478,27301705,746947679,159799732,609959543,443721544,14557955,546243738,445433694,95566475,362717633,10811524,889408698,915146200,696497799,762411463,446787862,493075851,576208136,869556222,949239586,260693468,626694364,211849498,455915489,35826841,948865543,990645014,199578967,268032478,450478977,524735094,992275376,40176068,356432848,502725606,264025672,906863603,338226589,152154860,541467423,759596011,173382170,334493832,947935448,182584060,239093484,375190046,93255887,809624345,926879878,494792297,313452226,214005099,490929195,587309672,183828386,812286954,163199725,678960198,637228163,199974140,725440577,369905571,53535600,513733922,878106913,798075777,425388318,441276144,174430640,663403246,68872030,375134190,62913194,403219001,52528619,770249986,269926118,898933729,452234417,911563794,897489778,96012838,15169816,600132238,989095683,832664031,463740912,594049088,479084772,987637017,738978969,118980456,5653564,81050472,555886132,276329355,77970269,154100290,821372586,684692707,336953645,561469023,776813386,827276061,621604712,193861424,479325595,490256987,715199878,676191669,757265872,715123525,308411618,342763733,596431998,624129342,450204250,265863488,177946895,374330074,745716763,600339117,560638216,605036764,693162997,638839396,302044795,254742949,913788911,17454920,605435721,140375751,855289295,340976002,331498240,350086134,347301624,300590179,331589098,991389627,924376004,487737889,644706582,766728483,542180981,752229328,998265120,673178254,943765142,601779553,577138242,970246592,965282210,122033599,910187075,913785732,61978691,755128985,407753938,306115698,626944528,968953930,502420035,948418332,819534991,371814959,578726009,116247625,438304933,753562104,315602200,776950035,374523034,148662519,769898336,170240553,392461176,336547231,49595767,407299948,7063610,6972446,606288029,759466540,407253909,996727855,502627293,522737710,119953476,231722325,63371922,151264016,7324560,265643973,118609480,275241701,704261617,80730514,254046506,28069110,372381438,675913323,897273016,929474017,733344432,220234633,933955288,155643643,80975433,105138157,223849878,98675527,15702870,402853393,496046305,450144189,693339911,595518801,364329875,927142852,742742803,17489343,876829502,581418500,338427246,379626598,438731303,494489468,498542226,83716914,489928537,107491207,838662586,905930790,654168270,44098628,734157810,713825137,718405964,685004989,843074318,772975504,106908155,149726791,448262358,320652927,33262116,558224379,247734005,786818994,842067717,960994831,906909951,241725549,177448015,393429325,639118076,604593135,310202482,271381848,373684099,145757459,741396165,185273688,72798007,792916115,778584635,913718586,992902962,857531203,111092066,807428598,986866655,2854484,184893572,607500515,793791524,552723760,131648350,119854501,121812034,253376967,680225251,659827957,226967005,475468716,118196926,261250164,663359648,381612169,833853173,483234756,589747769,116147604,726272963,662139207,204262918,343846188,211513490,135369980,498653234,43957580,288248257,110279727,68506911,624570005,82580027,452418200,829773698,871226031,12539090,598348718,973712857,479081007,107935218,553994625,330340389,425373218,908859022,497032777,354101930,422326628,854326922,949305164,876585110,247134324,762401487,696050578,210639239,74335657,783080829,477710595,884726089,100952776,677826883,188028627,464192175,343242242,745484384,329079919,221152712,647492394,461450357,256086116,667949335,333132055,539614336,659902638,68332196,573182476,263740704,233528552,837827593,671460015,786848453,718639245,314337809,99102540,29527771,242057878,358186713,818557836,452177309,391362892,243517808,11096885,711490667,417888735,352115465,981407377,803028912,872114521,48257625,458217428,522668300,163662300,473250856,159101245,976601648,647505267,806131446,37352216,114055870,457541997,750048204,260874746,427716651,101993332,345345931,428930481,29781830,214795935,982587036,252262993,8199113,273477982,496858420,87721958,332063286,809047144,982242751,154534509,221485718,25401159,677995923,265287548,944338235,115458492,964722470,971168325,687007486,510537176,12347891,657106461,667357254,226131694,759502780,787776268,139967408,568824483,48089762,659812049,258941819,598430244,928133542,518648403,753145234,231048343,23372950,347948385,333835647,266721561,402982036,346326909,737849659,748884533,268814009,609066879,525691362,443345778,895030905,439396236,85800985,270123642,385377714,765121180,685276088,99097197,558535534,685041593,803314447,671364205,820393918,557544248,753732889,698087817,539883953,197670007,699513043,310341612,177867153,929046560,548432973,53056366,530366258,246572735,802948288,806134855,181943628,974425718,602685991,155632687,212134073,429851370,472294669,983254694,601507609,734902057,63933050,253751681,541888845,62255548,29822120,581877797,90073520,670794688,627882717,913750651,643928733,32859444,830881590,701974492,1990666,861061176,237657083,982205289,325546201,348741258,139670414,204859848,872343974,748744165,532901980,976495738,272634841,820046080,352760444,885764322,336389081,554695313,708963479,248765711,846500126,843815440,18965695,190668016,449711187,594344877,796101968,389214881,177898240,750487269,44953056,246468531,487309024,818282515,620274258,389417386,855771254,396802155,994860427,894218027,279671522,673394267,764540465,891394317,481472013,414402920,46927384,202493590,341187794,386433040,904715822,494126635,928893100,230623545,243334627,469986106,46454943,442138752,162076353,637762340,622253172,389924591,358915107,478047901,512298596,239097818,845519289,943576880,27537069,977477459,487915132,693395282,258307103,358436378,304830224,863278802,157215549,367528171,597748888,612665493,33102483,164599519,272282580,928384458,47330313,992581644,120674153,669157235,480743808,129285128,767965915,470100494,122978978,714917114,240613756,258211742,110254753,298291190,245416178,123342124,143269199,966606714,762388481,776446833,522654417,745292683,447731566,319726040,124431350,279960521,746099829,898577638,272464189,496240592,482495691,419895790,101381693,46989236,916139525,48949833,21183722,907935695,991896671,153150550,897853817,158102871,741915111,378169632,820528087,152093923,158550462,192195665,625555677,368846563,542724522,855601010,441775556,149262012,808700694,161544873,265832450,866292791,526654614,595848714,634347294,953988852,743869984,702027876,889541456,825270708,388622576,642747223,546054268,815330786,231716549,167936280,807369805,829428631,612789250,702672692,227134826,134318971,172416705,450019672,115711883,161600273,959380801,571075685,651413519,651130750,267936947,297962333,184412529,207534131,954612118,376978128,795796891,703500353,752486566,439543849,329836216,434731846,603885335,507439932,264187879,803787567,96996424,318806247,365876582,119477139,483772450,109554504,765657972,366520893,379132960,805651915,600881262,6178725,304453797,311734536,386994930,939844169,748361049,261532312,636045224,305454340,791973529,336408182,348679024,328179871,8867583,204312651,97620109,424580378,133571611,967422824,780328780,256827738,756561297,627371245,422818172,386022200,818935960,228160873,928418784,291798714,161678145,184080473,140464552,977541431,775633769,499289522,10120304,745855487,765949998,933169381,701990625,999865826,939584089,132863345,245265625,187249383,88883063,153399480,803381611,3684666,776763457,84556126,620183350,522225600,997225115,392677928,911751874,958945875,616531337,510950526,86998875,210668041,83678256,177412272,451115613,821785325,691846050,508789671,489859530,781721487,648457372,510627864,651813958,15623000,848908282,301280521,236954897,334893857,388402970,930906052,756678028,654471919,496418247,602282280,929562679,429230650,748596798,74526891,47054732,143655831,446799085,211944829,336773609,832398536,613381483,805684341,566960243,363544012,847764193,641804215,477388273,622747248,755288827,248599788,698498955,649169545,701043344,574298119,742297558,865837105,845587083,117522311,384318189,407021305,569526900,688130283,823518850,972339986,540044880,825043207,35821387,779682741,881904179,770479346,442867101,745408284,228686450,907254787,177516768,828594500,534217559,209932746,129033096,636231451,339834448,739026390,467261975,823249466,390487510,463604297,534845794,81268119,928892143,743472396,123108942,242857847,572685231,584192882,70592771,171724036,206749913,359380005,265918046,869322180,857165849,430982774,638690079,662716917,297680673,786787800,991805991,273382577,12287955,693655705,836564553,198576158,111984566,475397886,232463982,615418254,126190273,102033430,247277296,938397180,573464092,596520050,794318311,469024773,385761802,170099335,175171404,742061770,662582357,192949926,829141823,624312364,619342950,973981329,860798345,563011836,368551098,102284163,107448875,825879404,376862981,23366614,2069752,740467817,719585083,970271413,523086059,955827690,473703480,171507363,701450813,356075733,337844003,499078610,45779856,506227870,410051529,278222480,742925438,168254325,799373174,48344608,631837304,476142052,920127329,460073843,169548391,295294830,155859304,421814065,947392661,189781679,612332225,837703688,791404905,998415740,635523939,63305937,246795957,672263147,785991718,209183086,869687378,517589306,900894519,224375208,308225005,731627258,24140182,255118516,95486743,152227515,284941081,768607320,820922735,365642184,14993234,928719418,308002755,25038323,387814241,934815421,96751379,685303442,567743272,791833506,972705024,175417105,641937666,851083214,96932671,170866694,771750863,66746900,245322760,753942895,212430360,734533667,449289560,146220794,170470384,718460009,728905593,86416365,986829630,223492761,313377180,284546669,203474091,813471574,155518682,500197043,339401351,970686519,107462356,657613211,577360964,316662422,363859413,801247562,471670843,405557858,567393432,68045699,762798063,79144615,879492485,646659357,894696918,332709389,108597825,607058573,465623654,238670236,487875650,31803727,76271925,581472645,639531684,20727253,12743505,950912084,734398412,209441764,523893329,724810759,439625223,158333899,802477085,789614540,515559653,860467861,218095618,285227804,805635120,194616785,2924331,877848896,406279390,568502855,178529340,577573405,497891945,294065141,515095896,451333308,986300424,653230843,54260982,637735011,429792518,646099330,438740606,328110697,118107345,707703417,272627050,388759707,896775902,411606776,803382449,345485838,628954431,49883804,17801921,172845529,370867843,15849591,832142964,531724221,581201571,381341542,13277911,795695297,266174465,735596722,906282314,560784525,600571290,847915402,706304150,628686404,786358427,556463592,576853753,712689212,364237175,809036171,849958034,918469855,269517375,646585555,103926618,346003217,633635785,896648106,965439964,997225406,649466508,505316220,797157219,188901571,153678572,106181928,861688831,639805140,943272981,930181843,894493511,147132493,34474595,43990846,952762884,721844151,380792930,467094354,479789949,21714031,782451702,623978039,162656385,861781379,184265415,842229242,65179802,559016694,723818704,894482106,853380445,567590269,522211172,449672469,662410672,983605212,14931835,10136258,30374301,339574113,842254153,610122710,662915116,628249854,825338306,250596915,548620458,233399606,351645483,761149685,178896216,588632024,909217123,37390789,111359781,130272923,647326668,350656312,637231998,28316756,191697172,650754603,823854210,13102795,151413956,59108081,488507593,317748507,963682246,958372049,358805321,708491610,139889824,847325544,561028046,361987620,437976828,4508245,450486383,988334129,174618185,618239469,712530345,421246903,984993288,470115173,206099865,454423386,926506240,246219508,503240714,979441607,632049386,947187091,977470108,868190874,934187602,310033779,840083487,417739316,922013518,837527090,879939975,892796538,80234933,360506219,203807786,240882340,572033767,779588604,444741016,255225564,275967098,474972042,264180427,436180189,784169389,126860519,140051781,330592393,641861301,195136636,871948650,954474606,311174742,931320210,438089249,136311112,681582911,790606178,246469368,641664362,977270582,971698389,479813019,517343010,88281280,717227851,198649897,532066034,318146943,124148003,378677814,843427829,782873138,6520746,825916338,278164142,726471418,2127061,337941836,954015396,840543535,378404188,924268680,299639350,445018674,337979161,11500762,521108471,294624691,497530825,573366543,736401158,807215041,459400638,775661312,117708493,856124401,572077832,664791603,585247250,589135520,707951400,904103511,466423936,349708149,708558283,249660394,955941621,448279846,114614730,52258853,856129619,237580171,586360032,427586046,275188939,994752159,414737732,937028849,692183515,896954547,609987286,806846941,582096700,415259627,854955444,362720233,251448822,919842791,81893235,750208819,138145716,187992840,103511887,100407144,53530192,183177724,939494745,148649067,804790764,122667525,277081168,618782188,915548826,171190826,356408444,571464369,58311576,560412483,44784394,34839828,250027799,133370856,639947774,473031551,180600794,493966393,251389674,187999232,390332491,797288837,905214646,888308966,609635789,911942403,43912352,274502288,671490673,950483401,971321552,602794147,359829230,374410988,364651658,251500667,418434997,217622707,22484262,752398275,419668196,29180411,917983893,685386779,647352468,795803043,833188151,662327164,999246102,172988332,490865980,127687964,941712388,326537022,99241449,318731541,162877025,169256334,689541873,238046468,657657377,647222930,222224107,840170476,806427579,947677958,708049671,246553608,725071693,519600376,65822004,288131796,387239049,265912506,841407182,975229912,751344802,356282475,690038111,656032335,778818367,452963055,639038397,244254645,670863440,874395990,503465936,753539870,450216635,636578052,722151584,800082836,901614945,149157982,347810602,106659006,272375286,187261296,161893724,590795241,848068106,517622508,322849127,986083593,79525026,360049104,699900835,551879217,117009154,772843170,31636740,889617844,96433353,527288955,72114987,444002346,955238614,346837524,690750296,172670351,96150173,241376323,784680609,326827707,759209150,684114592,893278123,780924328,936987478,625579074,524291066,212690592,366813835,335059050,360212482,46016926,647488405,336545852,494554615,501385661,612370464,826485922,478067228,944922990,408584841,224713814,3954598,758157563,96366666,758075698,503127765,166444630,520892924,237503799,520825367,265762305,6303829,440836303,889072737,781728217,249312138,679254300,954086183,399946019,728298523,398798948,242500761,93388655,543654584,540452540,257845968,6721653,252972661,591232140,61401844,171856416,217277878,965580075,378010746,395258373,57028727,423661702,964884371,364600313,160508703,699467514,47043071,818597441,263720958,787914158,637141919,290149117,536294081,169350997,417080914,186096138,405420003,351575798,88425466,84451336,307462955,863854425,260396611,809081270,254254093,201814989,427007217,353887807,390189545,429956506,495301072,315514222,434322485,914072785,640742517,800356534,585788359,759035792,823403027,800264664,402199962,4884860,990067064,137722348,343858581,378179230,818681554,33434341,561935228,585041357,589912375,216003525,434653150,516923195,629201021,880937013,711192688,245039024,906631379,554867776,240463058,816739033,451531053,186654508,376609401,660030352,32627041,712432700,505873113,839815647,219194798,316981736,525250649,630979719,490574406,866751688,206547517,462308159,105694789,248139138,343440421,263539024,461233639,37850630,263987657,871354624,679623921,35776867,924652375,146141987,794311626,419335314,583904956,21034634,771474786,313790583,840740022,920613519,100386392,836218976,888355144,279097854,73463099,105809374,138141503,732349733,701520685,195939073,720393879,722968991,624522819,227641374,817584983,472896832,701602928,556222629,559175525,934380075,720993106,890580188,216796667,541996074,400293577,743898965,956015857,154791060,950303782,186207004,73316883,997223448,941569809,155561495,472531220,959933732,965729346,336862534,579512165,359140227,290734039,220203481,976251043,82861917,103584251,6268942,702661999,733547134,849093944,985231583,544674915,358914960,423296093,359305485,48619214,274678508,668563633,920744077,873881421,948388157,947768841,667007012,531931874,848434819,680189677,264410809,633289415,974742177,454536442,359005795,14351996,328879299,950258838,211664832,930485894,329172566,937086943,578335429,547030790,289605448,320914151,994557394,867045397,5530992,931747565,248049281,616480097,221329589,261878673,866574928,433457974,654280520,517705169,217471587,921687785,934504915,359741730,41816470,405534550,397012390,947220501,212844538,145439256,799021875,767611562,696784788,212844685,295876453,218437403,353271237,592532002,374231877,430139867,213110684,865207966,68419644,968760377,958990033,159968827,899625052,669174071,901962961,483581710,325142215,643284577,414961903,990760556,134649577,612130104,190794363,757822889,106146695,157188660,824388697,412067056,880418482,223089485,215715239,598564350,172714587,388782904,896922654,813065777,557971577,65377048,45266538,334744916,878587027,781913933,461673581,923919145,712839657,518691281,568872184,369847674,309519234,899226507,15598356,801246830,419924504,582920571,510503159,216091235,514948237,227815856,328921829,737224531,159975816,421461138,39711580,322555753,661031438,296791659,979494239,239030020,777638889,258052638,771622678,478266291,101796764,692810957,138523785,549209201,451419041,53053016,627346355,126075057,888941653,295165509,735159909,772879458,13852498,309960709,759680577,605743002,101253637,659848664,706147759,115173588,400035410,268113958,250845482,8355325,676473237,66954252,742694644,577191535,929869761,857422926,273031670,243126860,525479535,907146345,479628423,380030633,801610883,159169163,248927590,697929415,643089389,440203307,45893916,566255179,316213285,470428915,278048658,280792447,800884975,651075681,817909299,252738118,677675616,134715489,325880751,199610006,233110230,497733236,336925353,348142742,922246256,509474315,66374227,403835310,355292309,827546925,845861514,858584249,468769280,218915384,885206023,164595319,420136627,321714518,772109921,519525566,18028195,505489140,430342017,83895136,959928791,654315521,691587867,573651826,645225475,786055366,836863607,909196948,288955442,752182938,251022113,226070323,475218069,216562074,854988803,861754714,991663691,196978433,440748409,897510405,467036555,662488709,867029299,737437090,924015201,638046315,363182475,873026598,397316039,782795310,851846476,363783976,365301595,168692042,81417951,696559194,96759791,323644626,714980845,740591796,307926180,712392541,930168373,125237897,577664319,352101618,921491939,597896838,60196020,353012897,748164151,246374910,83152359,236393844,447355383,724825430,216311344,602849069,515394146,145561705,797709004,54229111,792934955,797343815,103167457,487577433,264294515,24727084,128378965,114830385,874337853,158911801,773601268,597390887,502976588,425602554,938539118,996572412,869772116,331055838,416821764,21773882,546024380,836002254,40528261,616263120,526659142,445924115,820104328,780059479,701426296,847276003,298991212,915465160,290136774,157846175,147039516,870182864,784737286,598593610,603988073,944615826,479561641,941886658,976423479,562920352,452001977,245229520,367746094,611935940,155736791,3935573,326942430,641112882,891227572,103215468,94178585,690918170,227024816,144962392,980025272,496222721,74754113,701723754,155585685,712621594,184822297,397013531,867944276,912153535,187736301,26913029,727015227,558870647,160508205,905192153,424862411,428848108,849433389,793359000,506422395,164437091,197322148,771446527,837217658,627381700,842267410,222449018,347397595,129196600,300417991,947955026,816857643,745237053,152966477,42654290,620771785,70070626,629871472,34561128,662125858,595839926,898787294,624841619,55042951,974022124,925510370,716562490,654700670,238844168,700555350,179694751,157291559,51879916,909625527,378267776,453808924,348132260,405256814,887891472,305376926,739345401,204941506,873493737,860275114,958214797,60624205,497019610,302203754,698168223,192225183,686236052,481688829,821751028,760926435,706535853,818015572,298351304,338262516,661030021,381070585,30712796,472058589,380008853,808960739,433424490,911556522,516226255,145258555,793815080,215203630,722671509,726708497,860014201,2364808,106800297,319248117,360535596,865091316,919816574,567985957,59771489,678636017,37382166,241853794,548271071,338613919,514659425,702376175,422269830,905479020,65998142,504032150,367656471,252228117,422777429,660753823,693766075,189213422,960219416,51932544,707229217,334012431,709226253,272102609,681940019,258421469,571046739,152080488,907896120,360600194,877095757,740996828,549902094,955944225,948064452,362436613,155475252,950793361,490467562,745858923,485637445,2009173,977585143,314530635,42104186,653651578,502706640,766615391,283038691,135005305,923444819,834717239,150129174,824517350,520425938,374714526,807120688,720134304,609165672,175368877,404989911,957959134,413327211,259575607,451316338,241649309,632271604,287223781,311618501,903052996,352146630,996557886,256017883,32152652,811653838,108480986,826934055,86482843,489472593,300120245,384671797,827994816,521005723,877092892,80562359,579516869,415487911,659840942,991835497,600627447,317431615,448361780,553952268,89486022,92786483,290587383,285075998,531610113,527116042,535191812,621251160,82374795,53664199,102563543,425157512,934457236,555790443,121956137,918896473,601828111,202497344,586324988,662314930,445985696,385070506,986156328,518038274,388960143,853389083,673199473,388855486,797170849,305499968,231308744,173648264,665468647,790514961,361662341,905204600,123833989,988448624,2426975,878993767,118339941,359169568,452202605,51006644,205894431,71457026,58751459,164862638,549291108,325907448,685304033,38593170,47416917,683247624,996313975,222453390,593395190,113767920,898590735,804928377,474115756,526570665,687177862,156855628,839993911,370012748,840064760,457571205,624334319,491135310,679062217,610322972,228129694,836716862,965640492,659181980,35027397,937524669,76901625,682111680,155356227,129916138,99726690,220253357,367762134,637074107,309616237,732979805,936409681,767687848,760167472,652933506,377390831,201643797,902141444,52914656,175226516,259803076,991714472,499442957,295589298,428938869,679623186,978185202,942977227,788814667,266980793,350621262,17223861,866269672,475029699,574460195,169948165,984946201,820938333,749460847,991546112,8084750,433039803,808547166,276216452,724168921,80819532,835038288,295997051,197461844,841297498,242572760,951617304,511691879,859400581,211183864,416486370,338258378,942853164,327488447,607710069,453313143,413682581,767810835,184136733,534900095,61284121,126999458,164340328,475767778,583844132,163987849,715363071,104109050,679068267,997410337,637706006,986350223,767361117,6926942,45530933,895865415,845639632,388024748,16340232,519941531,277999127,530779570,425804428,712775062,516153585,343306048,894167416,230714725,278981229,229925602,786197273,153596733,208059657,190735721,761301049,141334753,109109883,403604992,710230444,912652382,250488487,860211262,180575132,706527500,298282502,49055685,40109846,898983694,182555332,687755088,706700945,292854344,394057847,930059822,742476228,511879969,70441359,842507692,181816203,436765885,72449137,537900331,403274102,278098007,648445687,514133322,287230766,929827335,946955191,677349969,537209389,391394760,758807599,915491876,30590220,736399286,949972454,1252368,5606400,398302205,860175779,932403042,300024818,40777536,654758230,915210478,531797472,198873890,819758743,523619292,211726007,857743304,594411239,788740110,714793756,973606718,61563963,91119242,601670310,328680780,60935480,629697501,341939169,466818020,715852738,706224522,159944821,952148101,499680867,337558560,252590501,256535417,581347129,258000479,667387630,825544475,513541448,304154052,301344392,482354222,313363151,725543520,357556285,728704874,145292825,581682588,672631209,854822516,504006081,278568805,152468765,104295644,43847164,481490644,962138244,379035489,509050109,405300512,327414970,244520597,385172978,588656390,903186459,176456718,821956323,568232022,660117000,441879569,445796554,203595530,953448225,269161409,408011927,94688958,491276479,510133380,4000557,773202185,648271392,517268768,519073067,968299113,703677845,981777016,755199888,588671741,233314592,510735560,268044462,939443428,163264028,652453185,269443028,11851314,993185182,762248890,48458491,770111807,972600643,496084558,980783302,152756658,504988874,90560866,952605807,773687654,4569381,315393032,923830157,258221423,127136135,868783470,990506789,778264971,912899307,684947906,548004436,392826797,662476125,141111953,205684527,179231688,547485445,193301201,447786609,972273457,615105176,783218720,638333780,6882349,74107880,84537165,622647416,747131629,566311923,415548692,373659774,501344936,232853979,493410173,193518667,704058289,560399938,898910987,761530907,35481057,839757708,389001668,32089048,878027654,978920133,451995560,929164935,775500157,146316534,845226768,333403697,765080490,736839136,219924669,127329942,809037674,186880441,121384704,182034994,860098660,847891349,346533844,795030393,126203003,922549871,234480562,188633727,913650006,582161205,809108066,132760140,874699281,744632473,89018581,197385126,447501112,65306006,755019483,3320650,621449022,16244359,185548939,500729846,414752405,531199353,393290959,83969240,797728298,916016451,496967732,846287550,393466400,470653002,103058821,613171021,132898380,72032543,37560231,350255721,542952461,176494031,282567176,220364360,286042779,311597622,604023118,731965765,631760996,191750187,547845818,284422470,667751048,402793003,843388195,958357647,78953909,482006769,432244358,826591156,459256196,354826330,467419649,9042025,466834740,48918747,270174537,922773995,892772686,637160012,285473329,889050532,436866917,766235241,345038899,361587553,749925299,855587853,334441894,665205194,527060455,501035303,976326011,402787276,634755390,351172054,55012266,747381767,736473464,833930109,329150516,33420016,551321580,877857840,657972481,810594114,671957953,419111103,3994093,64159170,986943457,146899608,439672514,436722687,214156529,369188177,757573970,625238804,700267847,690396341,315665086,40750941,138849349,4557405,750110378,514487294,589141195,278768670,569352291,514619365,471233197,487765829,98131576,46293016,912357820,511450836,796225530,873356901,67609045,652424390,864807185,925058059,121209083,742083613,816765293,950175731,822939465,204442746,784862197,965595327,210580475,4197393,274743128,713638116,475931729,736202254,102640919,943400963,868638678,772779566,479364824,211735060,2089201,852295808,549028334,835820269,535686262,317540878,614406522,630894888,700561742,187708593,638224974,401293534,557769630,575109627,493767500,754872028,73369864,129093530,573404715,505223986,72287443,667809122,415514576,71818002,52777173,904161379,722182627,632813044,812159014,712922880,731291965,516055854,623802064,927274889,384604187,200157311,679914578,609909815,323104448,596375026,243213207,103008283,240100378,264935451,478677594,712638152,461897628,895457800,925156029,91547965,842408354,559706286,353555034,154129468,146082516,864233871,625609456,997351534,590570906,510344516,106838605,411655324,193810071,588756317,995558628,409315693,581459784,606358022,285686132,22001826,479462245,663496750,564784821,83759838,224119473,622776759,708855686,79595555,937989356,937026812,268911318,721907423,465283539,620386228,743547259,532370974,776329482,51486674,886615864,46263421,623574626,794770194,546534216,268155287,404764101,862892043,753375411,789129497,459762392,597400570,916913263,106353257,400184565,778440758,404996972,54958567,393014487,157417656,739833766,857833266,467212099,503938841,665500098,160542037,198904401,891322337,46381072,320056426,729118744,186972771,202236167,98542434,935972348,297708148,13809863,284701402,604604212,564731033,542109120,253500977,261180666,927353670,448021271,640591077,264878497,277611661,581929196,142803111,903312156,523579536,927771064,989838086,612523476,739578921,900153515,194901454,211281095,781967528,629520819,219122637,826547740,471939414,82970245,208989990,370758573,978601510,856046548,610398506,851908262,736804820,932750311,726903196,951901861,930235475,286406310,305398175,641045173,612087964,683973160,638970843,212562246,50837762,43829079,34765864,450236079,155548434,263733029,151085073,705156135,813921778,458383704,958683543,667249951,823470858,592735596,706088561,581688759,811897805,461408952,591262518,453272375,829718378,869813124,98324050,466189714,753121965,983272020,520855307,520296485,577069093,751031253,451276447,49790766,594540224,97995386,938143109,20179880,608603619,769646565,7756568,251624709,176582907,774792577,891752004,374832539,536986554,191661553,841725058,252691407,953388078,319458048,216068123,305759914,15036919,489042903,367226300,562872639,960717254,283301495,743557768,169561843,411946773,434030470,314690879,387277322,339739981,87026396,82156546,285684646,346188292,953747018,229586457,608006123,354205277,212397086,333935212,903278470,132107205,273934230,977558437,842335853,972963563,427526004,487978988,443991677,239266854,115533466,470551080,979962347,669998494,929952339,365450002,504022596,268108117,446799304,387494757,709827653,224694423,2515939,443646496,21243570,113843494,271505644,771293428,461487860,232663863,331347076,656871518,245985144,970508361,599079170,423121154,817374396,375290124,115985767,39096048,221814248,144157773,677109186,237574891,765327137,735159076,202709416,855135953,877093587,246439152,354871770,680695637,763084054,169383191,990616106,378769344,977884186,40790799,77032819,380170601,805620161,799522907,512491083,819566937,8064857,504818058,33527424,976738863,274464956,338287113,585164798,514807242,357318247,337036964,189685000,921711462,862530639,432777871,551455768,79855281,298012501,973000896,72226413,199415809,584803179,350026192,693391275,496155573,760709918,129944480,894659263,349043947,873614520,817392582,124980438,387839772,535131167,259914912,832939366,695702563,636586412,476750092,921519425,673525974,24022802,312034262,870453159,122472516,909449187,305894142,923011569,659452577,980389356,785409790,295179407,438832139,779955104,581644294,237582162,560865464,570088921,239962534,996462597,67239558,625586876,794117782,137932602,341931427,558504722,41896159,507576419,727555573,283664753,580388352,321187496,206535271,807748665,794656126,761208093,336475498,580124353,965710366,716480215,113669693,874513618,661847723,253078276,437172785,5296754,759254369,306102252,75308291,497441418,891779933,952465783,171054346,318113039,684817262,341471194,906971715,661873001,820875491,671899340,308237734,584231691,635432241,876563839,860792412,560369402,541868449,555431833,510922963,47819992,714988892,916497704,684567794,140566905,578087876,241050535,699452450,166349094,123603324,224974403,591568066,292792956,908570710,226701085,224040171,79034559,217138803,556997271,451463530,345714287,283180680,857340500,718888247,646360685,652284566,484643324,385542910,752269979,855313764,29328913,883838198,840366761,646795970,35202427,951678482,319680107,520020517,175457012,995025233,317227705,51904503,649937709,155396244,62494280,818725917,449567358,664834308,208189041,480804930,990870657,769918575,628236838,518203384,748547244,185053663,563424679,148465488,879006680,72431850,195484938,844895947,580894003,465063382,859176063,655544732,504755624,585416974,550885710,321458595,538776015,963109058,131555338,308529786,527525414,162406792,855713114,623225535,281794684,365830691,456025205,82953781,424737914,349829054,251465442,932901832,913772934,439134677,764417215,124409075,335044372,2468990,32822360,671966779,396971994,480380271,497798646,90315953,857322413,11570289,902467448,46280803,7898596,576424951,856923305,921430310,792452703,525271875,355723136,610461712,552870049,616455683,116262241,600722882,693968761,451291493,307005224,792391187,939075648,635202732,219401839,223685763,482754287,895062440,900306234,340960399,186323710,883838998,683380044,161229336,487966177,10158949,257569143,34219308,30975798,221566182,949772562,114066560,545229627,635682570,218094221,609998986,485825430,639767762,718758860,962626615,846699825,431971498,459142214,348294767,301564844,840440075,29809787,703568713,519164099,182918587,571243555,429571213,210355602,437950289,855872224,349289049,314877085,673899425,334436995,546844140,531618717,65434799,772202688,676742231,105823734,535007414,440681044,58801034,296139331,975136126,95665406,534014409,940810025,811096717,494196700,523219858,733253768,825573087,847964294,881796165,901106853,662312928,731183615,565571471,24018138,619941660,580322519,884245682,93488742,802920548,958938674,25289928,239419536,935777306,754861126,231249952,323693311,80982399,137158847,547251881,433015047,69129998,208127863,475891338,541304553,434214546,387192268,419357270,191246064,655157901,468778625,922436120,190756057,247129981,348186668,212485275,640844532,2974385,232126693,784435134,833598043,77834978,895465172,709293132,11325348,348022820,846635046,745921023,130097171,610990335,883835107,558674122,501703426,51460380,360976345,437330613,498992752,345426083,432740599,668183874,458846418,909094857,965941514,989844310,374415887,34686060,318843252,928560700,402549688,80121058,349602928,393798424,770691065,233111213,26662106,579105992,565238307,372730806,742272747,367153822,708910770,135774839,305345032,691139899,318097834,664578142,137071287,962771789,229853647,601679971,890043956,930693863,952893938,636464785,318330285,421601009,582769813,907304001,623930472,137323660,105968420,275887308,623423307,263617983,482048241,647999154,205673104,572229121,616770914,800087007,707037740,683924058,143525134,908609727,276362978,825586274,204988265,87725125,523965427,447255585,836245890,341757781,658437615,151392018,813551697,308409998,244319199,802143833,300263392,973446348,474474590,161676916,701392189,565314079,651209909,654835895,805562525,324275488,412549820,185407599,102996851,897790527,207617341,242074541,280265440,931536322,871181285,710324537,546026429,447472296,516373667,10831638,535955814,545251980,314019082,369270663,858544527,544958936,188470626,901524314,59854814,845939246,27061442,170311254,836012148,216341315,191965056,265435671,531865138,49332118,909319191,177721579,528598685,4055034,655287097,857274536,546115595,501422875,361185344,289479010,905482576,398824879,765578616,876449028,29486441,464293964,802812499,287042155,939243189,842243926,110350342,15224457,286346606,419806177,196625686,109043172,647640280,775053547,423330428,443513685,899087699,280201947,173881884,618935006,620291569,288939734,440929662,907379760,66535784,907561597,342766215,397307090,12965299,376572365,633345496,563147037,297369475,283214576,106027656,330594677,475908493,919011008,749032562,389147755,24289672,599107868,969629690,537081871,497827110,833901845,767511405,760893233,360440133,322482023,339558212,849985833,688228579,744052708,769633660,372177142,732285389,666835173,445679750,177460207,589598266,320412172,389494586,156413053,633207176,781909317,507006809,981789361,451995605,426296158,796525500,961541276,457971259,306898347,884631964,770814365,743523010,81697920,424555915,49246723,515765921,202918975,376645649,244131987,332017338,52173036,737860260,743145474,910838917,699257464,294591359,919045183,430694860,773902815,228653452,278426972,326388880,361030628,262950372,37698044,260729804,738602894,342089308,659429033,761073817,270346402,712354765,767366612,780977903,563440093,352696935,841728866,691694490,487315374,373120691,324133515,743557726,728729403,59539129,515545735,990402696,30451359,960085972,409346824,317246861,837776389,787224547,356121419,452531699,857378648,149922520,999768737,190671586,468944209,188594825,278793446,170148893,882640300,87448007,243514503,814978393,430697144,677992672,159958730,280520427,916227501,16307201,291405167,169814897,666655218,506332693,890234887,727969542,205187374,487352860,60006410,461641814,745505815,910896805,297481789,736599185,985099867,455839341,661807387,471345158,41708611,992841751,28922935,142209829,50326259,9015315,883658359,558863983,203797768,442423397,507608446,227351807,31574723,534482829,9631743,5727709,691148053,417797511,571536718,297653236,977690886,119954577,476780274,838456094,134556151,563490962,299632459,105726788,711138030,419697199,170733587,547641955,203380053,949426507,628757537,643954514,18112944,681916159,512170148,433932238,813475365,625098829,142952701,861653382,302676330,538307470,477159015,123928483,217448590,415232195,819326488,802895215,132845064,681769863,195960437,540360476,804610270,929133135,422564267,581695873,895493949,105722884,315237111,121101847,150821469,45124911,347870063,911292638,799115455,2703338,171118196,268520362,283867375,441470041,217909942,502350295,698757939,198034775,144323211,302559580,254458459,910400777,183519258,886073659,408754570,585277410,845477169,596971876,726868678,687331660,558110979,592519128,369262109,779958087,751244453,250540773,222147274,136076612,895156436,447933263,71899426,821180874,364957277,107817535,566929756,161102893,503139390,263534844,301492452,524468836,538572691,958045246,680614165,759087715,829101644,757768772,567292840,314818810,955307060,676712366,422417729,232636604,70141889,118726403,571924708,600643043,937499925,711036073,686894304,369526287,288251106,84739797,810550776,644752919,344383599,476451345,310704887,904597932,568664099,481839368,240843420,293609093,167538332,141457982,4117208,843055756,53675799,341999749,43451573,539791072,151368148,931957153,704328968,124695312,298023612,628273084,190464426,838347546,819775667,684316574,234751620,29604707,307185853,515902321,946357492,785238221,27478422,235223777,591211644,878943724,429049844,597389611,647515123,385443023,688389322,310219016,987752660,9012713,546205682,250594569,627729386,632402122,502461940,785393377,672941051,54241127,117824264,278713864,840115680,549384381,751596471,84669858,46499025,227900224,398223155,637083550,379250591,236277329,650080353,772464128,94737221,227311735,44041218,160434497,819277127,357194362,531315844,152025559,647072230,726333855,531829593,88074933,800657164,141492299,271344984,742021957,466006665,807575268,633433423,33032196,243121691,465426800,800618894,763753912,656225504,7053568,357945470,951125591,291352867,234468284,219706719,627499499,760968114,201208335,114165992,694798113,346224834,945002628,141231576,24366217,347797148,431314887,251413115,950887497,595480474,206395187,732040840,530147181,665375591,233076177,931623722,919253288,295764361,110896675,667221986,170975269,702558159,567792023,475071172,973356722,98761586,567065231,671527143,658288805,820119682,367849863,338093847,289827903,32097886,577290680,141467873,294464764,975556161,601582330,443355270,219235802,513856252,713642244,836860302,481576686,569994133,718293956,227704708,524453518,12205719,241754179,72441403,932833925,192111106,550418173,810042340,973939345,869674918,752707208,675597771,113760168,416309856,633899284,129002802,411958945,874712451,465566685,670440976,848817065,745541261,724079560,910592186,15831390,592234793,408669911,578261218,374698286,749121384,334357575,470820039,63854719,817042558,131204991,551057782,177408501,283698002,430871234,211031365,543475475,121000827,921562810,529713424,571472676,785090503,800871289,946639402,503116544,277767596,845266096,802349852,1397289,854692709,273928944,54919543,723688374,397262917,531596999,614796673,120779290,948004089,96991874,174543770,8830122,657570398,575560786,698523440,822455849,251210514,857700267,654492059,395599422,83992011,495649820,265001069,823790898,998216882,1129476,556120767,858620168,58872804,878925091,861200490,162129735,619239763,535121763,228419942,514849573,414490644,814435842,554241240,126330580,64627544,669337546,238611556,283569090,968366172,239859113,897140796,364192798,724136380,292514524,373190230,819636711,948070433,198804533,502785277,122256662,474936938,617536314,905109730,867001836,394538692,860768868,242156749,227944218,3009769,445384384,638302413,444399879,493066272,278499369,962707276,987773990,356739893,58228842,974301347,25144625,122589302,955937254,675306832,607591643,904298661,568754708,783053792,83018471,98362696,453374686,23651532,528435723,756479169,754933770,211281792,121942251,63264867,759962838,555289678,791392812,180707603,476683905,476729739,981216366,976485429,524216339,961029502,925111504,525526564,525636696,326333965,613266266,410585214,676574306,965745169,720381773,753040630,228258474,695299882,537200221,773352253,716587419,107110565,208159217,238227445,40867893,617468208,138490896,324219769,779058685,387202830,474619810,749387156,637120351,728458285,563238215,803177588,491785305,6783894,719661963,704731817,641059279,412896794,672128251,418528430,897938804,793583366,660183078,817195617,836422537,873601890,329886429,101180957,934971169,984957722,756031696,193892293,645210390,665662537,320911124,718469733,378563064,247947124,268632806,8174130,156855840,918999780,467971808,750445390,454456515,682495320,781676108,155363252,530422666,744835574,135346514,765094149,235034270,951681904,519882829,942064576,537899260,833647855,724873956,30508986,126196737,487007983,235513790,234611215,976989404,775911634,2647982,993762927,277287443,249770167,488321162,425203470,149163790,424280735,979001542,206564705,950231908,333707433,863143085,226967599,72159586,44774147,622989231,290346975,152445132,992278787,112500479,786905986,378179858,975640496,18719016,756351507,863361088,906525363,735474956,64701578,860940919,273731576,446677919,880645313,890769620,459057726,288643319,99169710,55900678,408357068,11435611,750072541,607226935,225849397,916781900,376577663,329582409,595134582,424206763,132283630,254787826,984003333,126575701,337341178,223500106,462939813,895121911,620721363,817093754,774855435,851876027,72022314,18479276,657548308,565688523,498835673,915481680,90459165,841085823,847437525,560963060,161219279,710281586,555554625,743750028,899250546,881610365,847944021,725554129,123082568,460509738,470995688,239476613,390648023,148998325,957164989,161297929,314874022,761859608,322837900,841733101,221596295,239319401,238459572,912052198,916197502,84472445,779904129,435489137,861466066,808248008,244768696,206845742,587303220,67846671,140878088,297951941,911366433,349778903,64330400,642888070,771768998,94908691,229738712,968382222,293851596,542448818,127811361,791375859,508014694,482502454,508189995,493146397,715518519,376520531,130268754,82123809,342111645,216133714,983768791,762860943,164056618,837040829,932985634,729043950,773288152,824096272,293014075,978275808,530501453,822718773,221888032,161280272,149972637,596373287,116327452,321463907,373387920,792683997,875650333,494314244,259853435,973135372,311743688,118405793,327084748,128080071,9453893,410334182,877851253,898893351,243901467,807441391,954186464,972771771,913738298,198914913,538232250,580160710,664320819,772409455,979944564,267960510,69386506,975773135,628852024,518562204,751556140,415084694,583729180,823509922,476650912,733594197,175580361,82697373,102593033,396422187,144200960,402937435,768397042,100802569,892638840,257779585,553864891,379185710,618840692,614035173,25844447,889923681,5314599,806683711,185120757,305965860,248064341,242413901,243245976,757300377,648417715,634648439,404461412,193341730,891219987,50910008,565901031,707620301,623993898,537647964,949180442,792004373,492993610,530160993,304562318,488848335,475735767,559012816,713223574,787475171,283205535,915830655,809613954,404200163,715737605,667679535,870755593,569881832,627980811,815654255,453057045,603151808,581706111,315009809,242822874,280431136,132461513,500360072,664105115,50031477,84142735,642740076,950461925,799855240,471005883,400234084,714288276,357007389,534416267,283526805,172134379,97960344,960195027,842939298,496421764,313850422,416397413,334693355,806935388,758283945,694662344,400735619,995697322,398737199,674478302,156423538,848329362,154632891,756392768,427863947,807963008,675492315,857439268,927574173,953989757,950652249,290527830,326608753,451150488,172941078,238484323,678680504,759118657,231347815,420424197,257866479,826957162,837330737,873013165,823032110,782541030,423562177,738366869,676873086,640981192,539966847,55613860,364663072,370413075,219438894,988849679,410872729,803894798,651394612,518120677,824554130,152805913,161715518,423450742,858066884,385954662,783005117,765326903,389726488,113840535,602992845,819317094,815039687,655513628,748577851,948052556,369682836,328674001,992854491,742086226,45146277,956821111,661676812,469044584,218603390,81779574,750300239,139182719,298375151,917336223,409650572,963064469,960230437,978192821,962446930,85451042,643538530,757218002,747293177,33372969,232703745,159864771,424860366,674154832,127033324,751811672,209194443,803982129,553954939,433892655,671290785,189074161,281288165,494866221,759790570,521948420,854818377,354647064,870046887,675756371,998022356,947199296,111620405,23096724,264586439,292156224,829121341,124899195,275290458,598464347,12129337,766971896,277216691,75846600,831763902,67898683,296942730,274152802,214930485,739575019,897707093,770196498,824207425,397228375,30729071,956065180,968459117,68301771,764318708,594247061,280506504,381798547,818588732,628877526,76004173,581694555,642040727,145846678,773940651,713883779,79215403,529121725,107843914,703031738,935706528,690534069,681617462,936732191,822307542,111503863,746811408,374221239,675753020,793814154,484699818,44583910,308527606,614474824,40598006,338494971,421131111,957859160,596176275,906451119,201909899,775768789,276284749,657637097,608779821,533968991,827236891,864053490,242633235,429472106,637964942,756903702,749692335,657918769,538217125,621004095,576854129,848152508,932416083,12179801,233529845,189401549,322355721,109321143,224717750,503258051,901118468,540968350,905591772,348438420,956566189,955809961,740044292,261567275,744715108,202985197,548365307,578434301,336751029,465681006,909557038,663774952,537499871,807903648,565256855,744120489,593289970,591038106,919124800,35052244,577832803,243988958,829385596,675735440,338472239,385764088,500674959,313982898,613482227,125117485,493134301,898468858,524331039,40204536,424664709,891838932,325838377,642058594,301883312,149892772,954963614,638169598,433479221,782900444,616745146,989155430,716654567,491985587,495329766,53774949,690727154,65499189,613744590,476251061,239321029,583821253,100203518,371164209,291484900,915763200,300653290,463764948,326302587,74821092,172320371,708544579,626909763,66173919,684376754,988961186,847061096,109285762,999655036,530159966,897890527,781464233,437828111,683529598,408750717,687782555,380782976,701055416,242806611,794221279,421758186,8466306,206681439,721946149,727904552,372819713,480504462,223205254,916798528,979389753,417967848,185015421,493617828,743454544,158202949,497325169,507711158,573487429,927441775,636604372,245192276,382767536,163689744,413428803,454871072,923698932,617418014,455152906,522556243,265595047,402883650,146459723,519289479,741293915,810708950,789796364,309164209,975692068,488255545,798618845,420724670,793630234,737870576,201792469,943163289,967086622,567341466,305992084,666108500,764633657,299621319,904471586,378471571,961021198,270772396,316709922,670927731,502590050,748161679,696772794,432173430,11108754,822954924,443665854,801000112,389365157,374517885,236195390,353985473,781987800,887021191,219856104,476455384,735273178,892733602,24266075,195283692,691029136,327040467,855009499,951485352,497922429,720461088,721664448,511279725,285190676,912076023,369707027,64894861,328661000,597511151,749131521,11647093,811434059,826766782,281840319,662750361,454868216,474348527,578981811,416297660,968554467,609032326,725601925,562477004,98345712,173744616,199404830,183174086,193583359,414947761,40318930,335203365,188164965,408192704,77511249,17600839,743187160,831519361,698088268,162102034,82072200,9757112,759404567,903158898,305430177,424615808,926119393,372119932,575221835,280550496,801268095,655187144,959051956,574167483,282969521,326754596,560181812,74011599,830265273,754597536,334099726,162739610,652500261,470442915,941903089,685708156,526679179,276681452,10733401,874655836,366220414,967100263,844422113,4492956,743886684,651692435,681136804,370719175,906056779,423384165,213053196,271383035,370845373,917085145,734644465,345753839,400399223,141208219,668733717,855932213,419111512,120023966,336060472,17116709,479748224,971270257,573011241,859073180,446557754,794090046,116681589,27323931,202220045,858028446,6797131,253552515,397013186,299210570,967943490,819948549,956466741,883295410,307746777,467876956,960740385,78530799,475350620,65440361,228526957,485611823,119082354,860049884,710351350,657428642,672607828,78840309,766609228,606842775,205432694,610957359,608166525,374454438,116753208,747682893,877773896,660763335,638865682,534709947,4634680,855030261,674100831,996318028,331641119,996187195,572779417,31814814,891480143,415064501,343601227,298237803,111530496,371150134,780015768,449939004,907298083,156701505,518317047,321230567,969041598,409019440,504984658,634255508,843925868,832325640,905492980,656083335,563878598,982020407,597457382,795229052,177285923,438288697,492359821,577475398,283071594,424477619,647082265,953983152,731077443,872828914,227424464,567088097,743095213,381103439,748979435,26518735,361789725,470487396,933062881,996377577,373280516,316685548,768173435,284796026,651196348,235216977,967425045,378705844,433890,968606385,625420465,191070206,847318543,809776956,874358598,964174765,706736402,916792789,195800639,703723593,354737535,722055426,480952153,578491225,204739114,632303751,224458660,977658641,692823482,762788421,54269452,528262980,624116544,918244011,693077842,824772087,880050120,406664002,970186215,235146636,947724736,879803069,581216140,333409843,229153187,223967264,175846097,795008241,896667019,904258530,579274011,989338884,555978586,168974734,293596152,539276316,696024539,133501414,795269674,41652169,268347168,611584144,51582576,452329808,459878387,435371805,780306752,188656270,468051501,581593793,848975707,235990724,677460530,949290520,253303592,352005681,344883696,674249562,207966767,669144710,893324695,196364583,532887520,528729267,50207974,121301202,917864095,992056031,144831686,13673925,836204893,874925372,743471244,777064082,847805871,828705097,765045492,641184259,353845417,175584364,562486584,648460031,29889618,596355048,936226262,602460071,191550351,375128398,540176378,23582915,540941000,782851083,808784823,828805514,705080751,335439960,25792757,167996818,613905028,975373860,580300828,828594405,631432543,991804178,328719522,71192909,33258787,507650772,836943911,988412611,188953328,862945932,269730458,804261617,96241750,510709991,104859055,391296394,990164435,452294266,120937558,712105000,414252826,14778449,377939444,945339846,712922872,998111055,210928650,475198236,131503433,295916364,181754,848849290,916125952,146952698,511026228,957342107,401058922,836282920,388328447,328764306,475120957,712887264,867970299,696542635,10040202,147793341,525602466,703721465,424914218,530842046,479520346,855243355,1367413,601497457,316686793,39969065,929930700,695260875,935134032,492522721,82275353,781388278,752676136,363570581,962316649,998757446,668063427,991613064,490158388,901916564,762128784,938514044,859792936,288324488,995214316,306269968,41042277,351186962,248875947,405390021,888493175,411320920,608778029,380267066,774849251,488640251,203347187,808096263,401354947,488518613,975612950,708102052,919147669,218219277,527796954,255459855,895277504,929772811,538357762,250570486,535334067,399233488,439854071,86222532,173923431,713334045,873680311,153766971,722296027,384352785,2597010,984806956,486883110,275642360,640034645,31637442,422433455,77870355,206987060,355628870,727794439,638024850,59186437,202688096,530893253,602263658,494899588,339152083,373466363,875788096,14923278,217866949,828462828,92537488,49095731,446259326,1053361,607309558,75703063,600221312,729462082,510275603,867251414,391893554,233803392,712450627,204877824,499745320,185479806,916530648,14409606,771936314,925077048,514271745,111997478,559832713,985242822,134049655,211588623,445925357,535187387,202397149,151953739,975265543,141158109,93361286,344720807,631248776,573821723,607280525,402641474,602328273,123803975,491021804,978446149,34214166,910046869,800189083,614792754,552147629,604828199,199547074,553527173,834007272,612876154,498971780,769668729,917612269,141145060,850882770,795700794,328625132,266342954,504368621,870710021,332732466,32817799,641657239,90850201,318859722,872562906,36955500,843617584,626511974,627083250,49958742,620429980,559313947,271570782,926480873,528815906,957489684,284759771,961513927,669460761,842969655,687462635,943332853,283129051,959200486,947725729,255759249,278372607,798734000,131770670,875079700,49464170,967438357,964593105,617881877,518943750,966379903,684423141,989223717,549666270,905335515,437152305,352832674,269387613,810912137,163754847,85941743,147186684,543573690,685837483,826314780,2871672,945619050,890810603,494497918,46548271,18569550,483934117,112094929,291154594,971496388,463888792,456710319,791815337,783554468,65014671,916023647,429754033,867421999,974138036,514302036,763242434,337376430,987189428,576166660,175023736,734503001,286386456,700930125,635937694,864970481,143194039,224219241,164350212,178647822,382922712,431801477,221202110,145269753,688952322,556078586,470371296,737601410,322332829,160890077,545586874,492467247,671262225,130211113,86799943,189398238,769052184,720958703,955560608,873133312,606015723,690555389,11523592,168762826,235910871,256866888,301374614,929946631,134016227,666547194,741040322,560889945,766878024,327507980,883882493,42635070,889661654,85877504,120631068,75426206,184103540,126949467,341016002,60242061,310358745,917311179,597414035,959500476,636470644,611782925,385466793,724361597,173515220,371072051,617242405,706006134,656349438,866053085,933716601,607414460,544099343,330918803,241110480,447226964,418811760,125701717,93705507,63653829,192128094,19769838,950477207,822979822,104548875,75893745,504907879,666605733,670739916,650797311,945242821,939085056,82446116,436550650,669645354,469797315,918237436,347330660,932732149,716193917,543756303,218674642,407787503,342909044,198523752,405110773,336024961,31671243,426784527,521782384,986147455,281236778,797273926,314159753,818669499,597332066,757314267,294471914,359781982,82256012,213933668,21403951,45176168,377805276,313587026,332353600,386114246,110330191,771150614,821220893,966110290,279422906,398990981,793315912,356429610,149553061,196986230,182937781,693615282,565506454,160929800,402814452,650426073,609418777,747633472,684609177,409849106,997796707,910827504,344490959,211461096,334196031,206848727,997906037,114932109,805838199,666963580,273423850,437547224,288733016,21586151,972217047,40735886,982145343,321861942,11590186,338128871,446441321,213858374,856458181,479299129,627392929,500299347,668560380,595090382,84782372,4141504,99976750,348553597,663344491,394155651,360557494,390404949,225462398,829695194,297388937,416862988,855857151,270224112,616336302,697702432,173388148,996447793,333664425,216492815,695842929,454450654,37038580,262568937,857837602,144520716,144751557,560399935,358217681,100528553,100050631,952912751,567298022,519727172,424876316,314453526,294034210,998221914,930936990,747171562,358425673,315857648,774666488,451203762,525421416,398482439,142181125,880476853,193564961,117459177,235702652,6067523,268509264,848805961,347360817,902468209,410497966,786491161,575992642,773964424,383977923,547142511,185091334,465209887,756458429,817950132,247767784,827434411,152249642,453216902,168170969,888239813,245981013,39098338,91842131,931437116,858602612,483379145,866456661,310763006,815179620,265481033,309108733,299447083,158236718,241673692,25597486,559790851,671220005,62461087,202566906,526394584,256948289,711713056,474283462,821479818,765592581,953935139,512082195,61024932,847199554,638620439,245796773,286856888,594387712,459388897,288370052,196078543,134953152,909878221,97746748,20293864,250151210,849163276,869327756,473976938,860769227,462722131,855654206,722315228,382659485,985475486,113572788,104539603,385207129,428982307,190444076,37432781,230556943,734122263,627007798,541586392,585944662,119384588,562769607,807518340,936095511,689976196,575593961,166452706,648508297,626410984,821172538,610361531,386408821,335297471,43025546,642190478,386028170,599623951,713103631,645652611,850917636,491545391,156620716,633253768,182172229,849615673,841875946,196261260,483292706,227924970,161679410,747966997,635717143,115706039,175843779,303246050,229871238,961383377,723030739,984156980,559884629,313607673,50482781,239198346,908350434,78070906,423095651,238125072,724897498,26269539,183354781,868543673,31866187,696234755,843034726,361345856,349488333,611416220,168745380,435842044,376189168,306598462,463385213,816522095,626417827,753227855,824113396,113247323,762614500,932089011,694414386,624426180,955219930,366224983,186582311,561186282,224329031,747466855,168016085,792425533,278411676,562462315,245387600,258882364,512254194,57814892,814606151,212637108,275958563,17474291,943461714,654418889,309098958,410410503,278977028,350187396,800845585,581282893,513041533,43366489,567889941,735251811,901083239,8618775,28896325,126164037,488290374,948498644,234475799,62636847,641086288,355264550,290015579,216822712,642823734,418626891,628237775,769504531,186687870,458972882,191868139,121825243,481496742,484221752,152072854,194643998,756761449,91576516,711091297,333375467,898930838,688755871,100433348,268550874,754860397,598469019,932606595,663787464,914576688,516366959,943659505,857523915,560261917,44051344,27586589,877503140,178124995,764489239,186146198,58517284,547808302,217276460,989613870,120753490,572926312,408732155,398198362,356001209,840343763,574400675,804032956,89262059,740443775,232149949,247200631,307506341,901543330,141011162,265599335,384472037,860498150,649489155,542272210,170390064,321597361,120673192,640131807,587587949,937436378,823449343,822331871,525032436,23425632,454496383,9917735,488602677,167899200,550109169,31133300,107267094,195194274,7124991,919698073,724755417,643261529,415115919,192339160,870439523,42029893,996992337,270522573,178215570,872384610,975798868,926113831,420880700,667711151,365931814,171130081,405411928,866460301,388766987,303016179,314626335,717639720,276464721,117583879,554062385,321376104,834766183,552692222,490355160,742824799,655105196,416667573,996167204,787551056,501028347,515765153,151129597,253573702,152894708,233592772,949322211,397491427,308271113,158976727,540323755,141223093,328959411,224196868,878358879,290157682,795163631,783924873,565407471,969620487,470689317,27271519,447682960,837256282,751535368,696180823,722820836,147239506,307228102,698694239,392513598,208623010,57508722,115145011,148385813,826481627,442008496,180734089,26335724,228186655,121279407,239665281,342269848,160190093,718580018,40397970,32369412,29463020,608137023,555650804,146865994,70625660,909383105,957073574,899989868,75753967,108055131,58532780,826055880,627561485,355245013,403343059,361449790,590229732,342800397,114984189,461469840,888791100,858250147,22465261,411578927,377411806,943210227,391941356,558327382,990095103,884563029,586921369,686272698,287362769,859021190,731681127,773888083,527518396,96977616,994885460,294295393,420427929,594956597,831563598,746765624,853699094,18525101,376334364,925381886,512952556,798368836,93502566,688937015,707691173,901673724,542143315,416903659,311513548,672313092,221778568,510580368,878013051,400281322,907758216,311006531,276337664,622933793,458223537,248053835,890050119,384382239,635140409,673465785,9793907,668382615,583800392,970931245,65535049,333902685,149811978,122128216,626612931,249592276,437198977,409047296,237108619,628679677,355486009,604658928,694499059,52711454,980816565,696465719,696417090,680276781,217308287,757466843,876036712,833433828,484574832,803701883,75744064,104243095,820041125,21102141,436020437,625634177,125814641,688023628,766153890,393060545,46687523,521413371,262517420,472942490,857131634,327016889,88668859,211468515,890093065,621401315,228990111,734328730,530659946,168266624,311762881,23468384,68197729,308258607,288144113,44926847,408546974,224327494,90633,219517833,659969400,789102998,252900761,808124612,652087700,120891049,211841823,461641283,893665041,607305506,783050469,944434117,998663989,785002044,72786538,893071927,190169794,170572917,775546593,105377550,631696595,117687947,799881602,704046113,753914031,953415489,518512280,626488444,951950901,31145524,505548830,417827557,957439407,495240323,487417761,470608966,808662702,439814204,776390669,44661432,417619730,516227746,339210404,52727245,36264700,656476158,537074384,910905024,805996234,372586822,700060583,140954951,766514353,43769892,418491492,925924085,776271640,257349363,265886846,971037702,284523810,245582698,138791356,699139925,765451774,174852875,843492193,787348152,851654029,457287420,109878818,595418572,646778653,379975715,33905977,205404585,883610254,861988856,365407070,171552463,810202733,454425018,722419858,784945436,748458931,817419656,50409473,134645955,152444595,247974377,595026531,804723482,275610517,221872658,908233252,694213060,446248545,655827153,620535592,354512220,302967742,448391889,868720244,468612451,907195421,736991176,79345342,807326714,217584345,233205093,580717014,774966645,89375981,170660694,777226953,122261409,100543206,436154899,947551181,177041897,83501904,809257265,932926353,56228771,677914172,533634253,154721682,771984664,785253307,402003620,617913167,81849257,451694261,523192682,575481728,232102666,311685119,558846950,675598974,407632577,684419965,347938957,72693412,129194433,675100288,632248364,853538085,831416175,386695163,517134884,979297069,16695378,132256186,862022028,517096171,403579202,301983677,889385854,823743324,573351601,10037742,270959529,369583415,304762871,751451499,927827155,462532640,86682414,555889673,970733182,991445338,985794606,508010054,288036843,844091980,580222032,759080444,229420335,400994862,563557679,933867596,411434912,964554930,673499751,880722451,264726879,435948948,81287398,327983702,974277907,755153028,595697564,404322265,330887221,980568584,715785346,791793303,724256899,166131263,396598784,982446366,69039377,957781281,647481429,224711045,465030048,415022342,469625514,471125253,731669447,161666045,744087537,596547962,23976773,88547379,513281683,538527518,868776151,279041482,692472739,357863068,864874164,520295864,533043966,406378092,314304671,811029002,620018129,94083994,473160142,427763341,890179512,305979603,643144398,132708705,540143452,65670054,266054025,464405514,567371570,608977241,626228460,58860096,511188444,247073085,827179637,350371125,554498641,292995045,247681229,851515289,995553069,846500580,897032673,656459295,576136101,205445221,541790555,109569279,207789091,32030457,358648457,833248870,400095007,450640612,894305082,324770589,28807781,9117930,406213245,936565753,496030731,116274533,121271979,751502383,911831974,600930430,500495267,697001671,582151499,825658369,399927907,456543403,654090369,792699217,595101606,760756903,531472999,250050287,236964818,86224291,676830452,492693161,342300377,207470558,696082182,565889367,262330322,826576807,329025305,339508689,742942368,107139109,982092568,754925695,485586839,792431286,60899028,765578834,814377078,402559535,94404134,693852150,256432465,739045669,850858678,797556860,547395492,474067510,583616264,563386653,549518830,329683428,723213709,617704919,158535866,526437255,1410304,630736754,511960801,582997239,19241206,154268876,81804362,414885109,751465146,717842751,541676528,696020084,631056210,20577528,519706760,571390646,794268664,593652743,644553939,559271934,147022491,968585156,178617449,478381007,895960626,113751187,495856295,737327294,94079257,455803134,652462300,476995987,408127073,88017356,23778150,495071892,719377860,113574378,370653288,572953740,759109384,236980921,677327842,346960170,169899787,611957604,153801903,384371543,171280587,588492311,815421650,990196238,128490221,350484925,254337430,561253037,657248141,119883076,96500854,997705481,23254365,80093542,528620338,201901767,753517434,551554199,460109876,638485455,831523114,902827879,929968343,932782263,934062391,544177761,605062898,509887404,687729786,979113327,444244686,50687908,10633115,899636490,418625304,471408991,385535408,365428539,948222750,554551106,195673320,764679352,270518015,810482522,658285337,81129272,904050246,592708084,225231299,325057957,300783978,655790137,565626296,599965352,236953653,236196463,591560543,181494913,684468005,574561825,961536329,779884970,258231752,571185647,753673180,383843355,966074621,416440185,82901156,963791425,494322103,471791721,313704182,439550432,868685089,977098846,542943127,749556641,70508829,605512467,288096978,247196927,451521903,756104199,828060393,50235648,622249589,877415094,382572736,529499453,408301638,537277000,361125960,453025108,157357533,579215902,435652971,863809015,131747954,609775252,769911985,9265677,566601292,456337266,585335001,498476140,792203918,445713313,152430449,736764150,631817350,987520983,785074449,584660838,62929910,393861186,457997975,74848263,740899415,251165709,438804167,423686282,583357189,111151220,882200066,341999318,514922962,601652499,204697171,508718852,676293135,164771699,630830953,649550818,872562204,306257318,163566624,488695509,415187917,947632364,298828828,13468715,680135130,198825982,70937210,860569772,363747360,156208476,756888175,331291972,332090657,265753575,194950366,246175042,34347473,543664369,99592547,705150288,965355250,387867607,195037492,324940984,229796357,238932140,526348176,620114337,979736525,118154432,956553174,685962494,114597905,314406276,603835396,327261116,244431789,784429874,821239821,553022200,107214297,772772132,440714116,221370346,338056299,835928188,47748274,789259318,866700719,607347823,710442192,311048203,874074578,460034909,415207910,76494887,600320381,29670850,42285137,640338966,968068312,880080858,863678235,685999196,607843537,696150425,266205643,435456489,774834803,833304906,184474626,572818744,743924585,783749452,914874767,699415571,192152389,884253486,281737691,4227110,103886053,487951952,567358563,685299433,797095602,108296027,539624203,784838322,130172729,172836169,258402499,79958985,392113179,523314030,236288422,606128954,28543903,125094400,577839463,154014068,920632554,287304596,524073786,548770542,761438589,784689093,606851135,187437265,129195164,260363816,43409291,220999954,331620162,871293597,711375044,456524237,142449654,125147193,564466922,318898613,99338982,427355034,359876765,50330201,191388196,425620499,750308751,195427768,166441629,128562606,674970619,331570532,416821669,521258232,590816375,288917050,670175749,122787901,612911982,810553011,616603311,460070326,573036888,270532138,102267622,505300773,444200084,124049979,451634632,180389705,213231311,16176453,393080798,896869516,208231185,49195375,131572032,22612070,439739808,361689893,656258024,409446039,122076877,66460344,692102529,566705085,874548731,309166973,690967616,212535834,598574232,575993803,661893077,352056165,736804105,932595183,125337114,476239600,27612744,945579053,965665562,550572996,138051597,86678059,380326727,997551795,537876269,77928422,992130729,585521806,464569411,149559148,988907914,981340652,665562544,883770939,903453819,884042512,768305432,618772238,424224067,908820750,97795378,21842498,65743782,385099629,466692378,271423291,317612778,879395683,7213491,236390514,523260618,991471630,833532715,270138672,637797794,314548937,782076388,527352463,987113394,585422685,768585626,720222023,948586698,803433501,209021544,450614018,285109940,771926295,354275520,149186369,795436735,727654535,396803956,822995334,58378793,209560409,701111259,514593193,939209896,514356628,198721949,135664978,114424252,762949896,134299576,136405749,886328417,58441132,446856952,197743984,693287211,847386736,408248701,318855054,955117262,70759158,702480171,67220451,19376315,971410267,34797244,522971836,790148199,100454853,667375750,982970113,703552262,865837627,284337647,248902526,772507786,96355991,243617654,507112232,621145790,109390138,426624534,342447559,675025726,18242159,152150015,361402915,340949335,925115284,145644902,288828155,614449379,560040466,584889227,590270624,519773972,402376394,687157518,480844426,712301091,756326482,669526264,148818674,976472275,556481170,986917447,654314914,764593081,111005086,899488222,716755829,982675544,351197034,707344417,35911461,698291277,259760320,268217874,592170125,555630283,462625632,859818508,164471173,244270266,845588434,439102793,32279681,929851923,802154612,914839545,280654666,462702502,135570505,749489528,377203609,703196837,968014335,916677820,633361524,623203469,303923406,989352852,431470265,211426733,146869658,214886736,566416296,48847746,469875873,139828470,285321600,84849602,314589309,735432333,556207139,525189671,791138441,508238465,184999957,603191026,450159298,886347793,944883289,299903298,27069937,216432998,101833259,455012846,36726385,758853579,270624642,717385227,217896034,626294641,150609729,537793550,624035024,907890089,188584747,239745781,275777558,488537471,701380802,338338516,258768123,718149446,537471167,953239245,933175081,514758948,208820196,137254952,920384748,101560870,448309972,169299748,204547406,439558973,677928127,650445000,234496264,860897191,503495240,567334638,169514499,787691730,129101851,559166896,61413691,104041314,132333505,75457009,272712214,821866270,371066990,268840241,387149361,684298215,367192498,967275931,445224273,972419139,19138896,763813652,438308869,306035832,395582949,332281860,303393749,374924919,126277840,243411191,375105106,88080286,57435710,834950318,318492376,924752600,364438754,899008733,158479320,44562325,134530092,57121526,985327255,737613616,7500152,81067855,654215113,969434678,80005002,581545778,736537251,900410346,900537122,937944466,115631856,772867214,833256888,585957236,627841095,598167718,356582752,746247992,923451854,723545609,27288683,995000030,365141483,135858861,49962937,611696735,971103981,239383341,489597687,948483202,833012526,7873189,889436625,818366597,618995888,376421767,425793870,267026225,114100918,828322977,494891026,713006292,449402410,168887954,399295850,206930036,233627434,295636965,595235828,659174793,505359473,887885790,805216883,687734613,583832600,551904545,833333206,407690714,427272916,450695644,267682992,995832497,33155090,681963852,597609702,96824032,123242950,490859689,477369809,973505289,997963482,848855752,318409493,810010047,105621858,199700649,554284618,341503888,837834567,363555115,677002010,817095077,818588151,493575130,509450567,894805501,571014868,815374568,607198150,660256645,904323859,116344203,713682525,934779187,970517140,210373797,397188135,644156275,951720137,211146978,123794264,182105013,158396287,660627411,556870453,406694063,993669496,172297711,789467316,344252059,330408394,135802631,84128103,156821136,42695291,317331234,305280083,208927517,47817757,516961761,216425925,511870004,96391012,204609146,513091283,420542711,777320008,373319251,36134337,234567485,175927177,785226928,697794677,505429200,749970148,12199176,916171471,284062549,595790195,576348315,68257681,155984194,650112603,853082988,908955457,570297004,993974187,711772154,337854458,643487788,104302089,52893239,72849553,125817173,640833821,389534308,236392599,640960863,680242009,872413321,174062408,828546930,537191462,340016737,139907493,515978869,714408984,842481759,437586661,620073427,68084842,810513413,561030507,98824605,280027933,172387431,504015044,61094410,455968430,887116638,446839488,568892100,641900620,257234053,399093235,616537529,470865701,182135954,511637359,628331272,577438382,946726287,227426986,893216199,436986496,63277317,445044338,374600399,981349606,79960486,369181237,891699919,279917817,178399951,564851612,269531224,300343668,706869739,481970582,903963047,890986069,737926129,204997720,675480769,260287933,396357274,885850445,393662094,233066615,803240640,222593726,987885920,97983929,644681698,356231109,596182417,908141200,918973580,716421835,159816841,940658190,683760748,908255260,832547255,343401896,178741808,404820288,852873010,552126990,66539487,362851761,641193209,756129543,438645060,17115468,677151104,965040572,812688546,786043628,69281978,856634287,825654197,725402986,43845847,960370008,598821101,130653008,663704210,915689404,727688646,976895813,581888936,443112340,236475603,388221170,27488119,532338767,592063325,290430710,684216765,463088504,135907029,552502417,687297280,732130002,450145627,57270735,971218733,194968332,740891349,930964179,304776731,190210721,659281475,311462064,629415289,688562248,267993304,161100040,702047026,472504808,13181437,903557645,955680651,791746805,883891967,378491938,881806523,970683822,665029952,489048587,517290681,778517194,488662861,199907605,373333872,313694410,137909581,122122282,838455396,889207096,685466152,776930933,604466156,871107142,936645858,531945898,378937614,438253914,190356821,527279902,878100090,684460884,177884728,55104792,121603600,516021494,233143386,381656625,464518435,152909470,422797138,60271526,728875209,944297971,851464173,98420054,285508304,928143734,231673278,354686297,593588233,83484748,192537652,604075459,551554377,209553646,107867368,822836701,245713187,901796413,305360455,25274098,892837872,735318282,276806663,503358934,950048474,235060522,166992720,794495876,400345506,791923648,541013220,15239772,355838413,21658105,705838384,250239456,364510042,174241876,938262833,745142608,530607396,156921991,97234637,68077768,533280750,660987705,985624965,136754308,338523476,825262713,439559803,57221203,581304281,856881931,116133097,558992281,572618837,467387870,490928555,333920437,124597770,267446966,119546500,282902610,80699773,975095031,810689908,155802921,805849525,826207162,281772691,62626934,493689274,66564630,521543422,943953833,455320162,397709711,604477829,350446255,777959262,249872171,788679589,358721557,77338048,365322658,555350707,486649380,702737936,153933659,494921948,787707918,403857905,134186831,994359019,551769126,121439053,117695236,610212758,988383515,215390610,529991572,880454168,305525399,848282283,705055537,515708531,546530529,647179712,732914456,298186179,921695873,453872009,305341325,473005289,114941994,830838782,19459577,608632885,970662456,737987792,225944130,886977847,975462001,8118231,149462070,844378602,121691683,827637330,580375227,277082360,561086528,332821468,743340215,17844584,579820022,581267532,33911945,604173049,711165743,21530840,849225681,598578413,639346189,501747989,71238400,560689784,734658315,702289085,201391331,374693282,325940725,760237956,895392516,826156334,591716340,493108598,331610402,599086377,962091903,560971714,846652312,733146517,801057400,700463107,516549871,559620493,578547007,526634175,583388062,108515145,355544832,225417566,464102505,304947636,158798532,41847459,906790739,759668877,8794802,72088559,362229572,329360026,507236604,936659578,895955008,55415877,906675289,744934414,760092182,674926511,99595468,273917646,209902670,189029240,42222573,680348681,872228994,272094034,18850667,161227635,452478369,51733792,812962866,702121033,721389459,226842389,212648591,963838304,665048148,696077886,908268393,920362761,430325368,368853365,138023527,268114183,12859634,4698052,777520627,91190157,386429891,854681652,988784674,274973424,931376833,574862460,217663911,666472965,356642923,378550470,809646736,341811442,385578743,995463775,511535251,213972163,92513515,563344268,540193487,135539848,771688908,601448004,445865829,544726776,598804508,446128650,250024762,822051368,995623936,776680257,91776543,593192761,942400239,567979525,637122865,709891306,75709211,97701656,454007442,230703409,519026910,354398280,403325630,62120488,167021229,267723846,79919529,182393325,605182976,472884625,13881638,610249856,692571800,727655215,499675759,961999858,159452674,791402081,876638226,605573880,582587860,621493404,837425417,79433184,107779673,452071440,801071776,181683376,576860249,287535032,70173489,64147135,420642504,327272059,527735206,545783421,27607242,475979659,422717214,936394113,477793198,832247096,470832350,266089544,359601962,108820180,82411782,466468747,871852467,582171046,551004997,225909321,773609069,230472155,397089619,423062904,18775615,609500744,280111789,862558246,974656374,124401000,624723659,828237849,383408495,887117866,119411823,761871480,918420009,157100483,111224796,509199884,174623929,897431727,132366383,882398675,622790108,350711311,962324050,711691464,368689626,555003672,979777362,83677550,208295826,563040213,921340224,885425925,864391499,487858094,205905154,734713886,757634980,260329296,414620830,270270992,58046104,458924590,920022160,176229096,402821637,135199342,705621646,534509168,635850853,330514339,345273885,999681815,594442313,447115445,764353590,615785698,398011855,247063946,640263920,562531537,284234501,351166840,605480495,607116054,669321547,395961461,372819119,12441548,695770453,457769912,670635566,858579197,243944200,948187149,975675877,149069078,472851741,669663409,933678583,203420150,463794858,423837818,759897013,694051898,192957045,97744179,437189091,360795543,649775806,744869990,216340977,683103803,125937318,531793039,888102276,980969827,262622846,214450838,846260541,375710501,991345436,179808267,67647986,46366319,43581764,536739429,20416362,412395763,587710750,866412710,505987498,186990922,125550736,624001439,819793691,698844722,981467895,56910884,736261972,122264913,941543583,830255146,986963277,381003821,904105232,493388895,922052516,362271388,679818419,146824530,146039260,671101922,375020039,759530386,839166745,558983619,449497707,223873126,354550786,900019726,278578318,856551209,15518765,143118254,572905525,486157443,780214555,236939443,55803739,969608256,280169511,903033729,483401024,122246517,994218730,262292519,297865633,189080287,854775191,487079017,307652785,463144027,613031792,471406966,691108471,551718480,224178075,555410000,728392823,244287397,981839812,415224570,554858257,431773723,248986251,125917329,665708700,940670432,577992536,439984081,908776592,481589371,998205965,443220742,221253437,34368890,468802285,543464090,363114922,866926537,635772978,497310436,929992332,638541990,862211665,912725707,599247852,882607499,958017767,36301817,651560524,687389365,134001950,8960256,499426570,378177999,963101134,492073323,449769334,193526854,647781816,891999380,704341799,864782683,472893177,154368309,729156672,953043965,739517248,459010128,839414954,162010783,239823881,303140332,564823387,644505774,87614820,583333841,846986870,314163423,768993622,195602039,849516900,727448528,440643121,765976904,438653492,407353273,118544471,832875815,136431134,688008570,155385307,124312956,643105476,913982244,731045064,612502792,198163029,31873722,866691499,364640290,159105342,985253593,234885811,430023022,851276619,810800709,980740428,37607481,442025068,369775608,235638482,753102982,113631516,937505264,498101519,736249985,780953217,394307390,544481334,247883980,302076783,246021441,225669688,976172331,676600723,300424863,800620313,228770176,52888385,148332442,188199201,795409412,588365740,490014460,703710211,660388560,309144136,4897127,983246786,468825276,294818408,451770561,310994161,732200382,827159584,765041299,542687422,459031564,236461278,872157267,815256995,204868263,696842388,776169744,285401909,749319458,225654498,472720895,391756443,926949092,713359259,920909317,830754719,112643224,449871775,273991605,160373351,388709164,908519116,330263779,70074966,920423312,969130358,810723178,162103621,869453325,462304835,642755417,272454767,351967648,225348387,166980979,104089422,627252112,974086803,653954469,273783227,354186042,46425705,957643515,468703663,219193387,988079471,803339138,68575704,32205404,399628808,946975466,707753270,544262452,532227396,374164147,489760400,915345798,698162034,279020635,962876302,188959881,988548427,38309094,541303361,471784748,166652496,754335389,95064812,948749148,430231450,739518409,681834367,389938588,199475281,667691674,687140516,815357430,890899411,225656496,931161126,722000748,303976317,591089972,408962294,682359108,425794585,461096109,874206023,811314601,363001329,497928736,209008804,755990109,69421176,488093703,303255123,17712952,618575628,172830779,769945168,546545299,393092252,166616354,432662848,146208313,486971040,115129089,318762687,347303961,231937229,638191973,656731590,337726977,997240796,277334927,46771885,37991041,379867560,141601220,393234688,772999038,356985477,75484191,448334783,895627023,40428020,855625919,244323634,754972709,23830606,28646346,808427423,579400504,186447564,446649817,567645492,29499546,273229857,973051928,497524483,494875256,43645502,688874250,256914307,148890169,889806328,781083618,942068102,476734085,715876065,596544059,952148831,63089002,427980025,102439152,349585339,71302679,13501647,307993888,40166531,140618006,923005257,424664959,9040736,209576409,750610916,914523728,429008611,461393153,673992140,688857352,26397002,320682304,355424179,912031818,799027057,401071341,294723397,818564887,215711838,303054600,188069534,739377618,222574289,151552622,51037115,206852169,681099713,115184817,725196871,252233462,565291017,700135707,749009514,7790267,572602122,518421059,306380474,718951646,497961036,853384724,264154552,557506173,809587694,762259419,532162324,755509957,341418125,535743021,112516283,43601364,470787425,554281530,470385926,739546229,641960873,187188480,591572701,830625696,340676707,853138963,718956697,651253567,101634220,718181988,94933740,583578719,442141215,724977461,923061030,940868819,222643914,450764637,573008824,479554382,13420335,498920938,968611041,326980444,476821361,531845205,737745111,962310305,824518843,808259894,481835969,701213300,943348252,569533918,751874222,767325611,41044331,690152070,272421460,404234595,653277858,136801659,371348826,156751390,554770139,89356907,590664554,19284978,547043661,548785894,138623765,694244062,616171148,472014428,94104477,721370722,934669702,461723141,771663932,75012452,728891769,929724301,704253546,726166406,172957040,363629624,642632073,569884205,956128299,729941487,659210610,271015565,920976519,673777149,527102579,292888799,74004205,297483601,973510082,277898093,276190577,754556653,787761503,644764412,467288952,817783911,835258431,661256124,986358318,243892755,319888430,329910300,355135512,999888286,286666041,938368652,933787217,735812116,40845040,19652721,200577373,449108666,878350060,765156817,92663675,13676230,388396181,952055108,170290277,10806615,781786471,928166624,735626307,744588967,27652143,977627618,789316666,537400594,781359237,597257583,693872250,753782033,362256168,847935180,544819027,897666897,764546509,467182730,296928969,174729771,510771642,726993714,974794759,761363224,857903693,346393953,83605145,340947941,402898969,371261553,789772629,248371879,361713270,747862060,534623420,994764387,755426758,577975757,325058285,548042837,453104266,571240156,859351209,751136934,870061714,179416253,384972368,651734573,640476711,860010104,188555215,887327497,16382374,421064419,879298165,302776921,221678654,79107402,320236035,998206467,4579144,190972826,467176319,170437896,797176358,823973201,567882854,54573521,26239639,853376768,535795592,301088612,248129304,347947276,809068097,66570380,206222674,159208545,244713553,755328260,727031757,830622376,205184119,884667154,872884012,674391247,181397473,600653157,128129303,136382730,592266196,388435742,73864706,900527723,464395167,32793368,809747787,388589157,357932610,569460116,936544461,932568815,325330444,496198587,929205189,531703694,583932024,508939645,399288292,266802012,38341944,263381554,764741669,103439182,22923998,71023128,637339525,209035962,216853613,424115449,709642329,386201960,533927379,649394468,967886643,569190497,23867274,814798909,848531586,298299988,107228209,427634851,254813689,788913329,356140813,251038795,22280932,716928554,361627346,478437554,613521853,161063053,456144909,88930428,384982344,942321157,375391211,892059991,677344573,392050088,225291225,726321207,353482849,486785482,305980420,946546679,897070910,456799389,359532826,717412067,129258934,731033098,197105237,502659721,922687848,759417418,690357962,956127892,709463620,552384561,912550349,307303836,734148315,950524033,309074289,814056207,155823278,702688831,984263804,381305458,809851238,741121927,918410115,377750108,839795892,847118281,759028628,762000750,280108831,110028360,174107531,691387627,51837385,675099898,709601473,934804871,774857599,534186765,463358629,788665295,345090731,739681005,968617307,286283665,765777632,191000298,106255301,925108173,680267117,188519599,866710761,608188962,18927649,225910228,205695570,194544948,702138328,839982053,224610285,271511748,460588286,923359847,108276038,113158067,277550364,833030527,378987835,837676522,824474917,732450023,16200200,774101937,45159240,24936320,549627525,369231577,422541314,41365598,938181163,877194019,564408308,766259794,317745494,585899613,42770489,489012261,939183250,339668434,634397851,110679750,826397557,478865452,753073416,670105935,857926422,737880807,837599619,364805224,989863061,675741560,178056586,665559886,87028148,156354339,135080597,450889616,961834431,306568005,977432342,308428515,980625582,338819729,84383595,356384510,858029868,252647031,736635069,830297052,392295036,674812725,266243374,157175270,664156779,193738084,435527794,348022539,722429764,91447960,544124565,247140041,994919773,244479530,817253406,552709749,408044959,211474244,870774830,926281416,27597343,795381689,648687595,599292915,247100741,939354493,683309509,605001441,470134941,186291366,954337783,895450113,532638236,27125970,84263994,966870301,724055914,489024320,558019623,589903771,442938360,226703570,189697616,232172272,898172253,282297354,95960940,29838066,748333461,571259772,764320137,391303495,30775071,962454660,32946858,313238543,573692339,123983974,821475730,515850776,931547014,35703934,571992658,684351807,582890483,645771970,282336305,48754626,753015352,299630309,916180690,296724530,423666982,725241896,444206053,204169145,460832234,593166322,273077512,907846471,939101720,920010778,295937012,811882965,747010815,575856154,212066237,808942765,801185570,625961376,63954220,362906179,244328095,947737503,770750556,379772998,7886633,142811929,77443771,682300089,456717014,73471656,828276646,835052347,848681942,479565147,237855947,165709836,978743324,862527605,575715367,195127499,38002294,331625602,54346194,360200889,226612692,671517222,298641137,587688180,979939379,952629420,984547640,334231614,534121579,703326234,712403274,634876723,142781520,150146555,216628608,980732309,331697578,312343145,665898102,156157572,654223304,594427688,292426240,702007255,640776923,212769559,151125544,456528360,802740797,894083573,670433168,820221319,256732033,215702134,64789438,381601120,132311779,597677776,447163651,961605009,907976812,951890672,449048848,526432602,610850333,86085653,701544696,542445662,520086391,753356790,431747072,350218545,948390148,171451817,26203129,736129721,451636935,668333231,341458587,23328409,537088279,44193102,652191987,785875857,528084052,290702969,50945849,866780041,746462440,15420487,652214418,514875023,990953220,836682369,102468586,741180284,526382165,418209484,840463534,213402085,157827447,623585055,983311503,750790996,142607442,432474097,468310842,40395308,882611706,416912794,471137424,484505092,165293906,727893286,729358168,581554099,787268132,112783914,494779331,927417232,615064585,127664971,717281553,559808599,579715197,538244788,799487064,679504441,106437679,38446045,124797305,64936658,473992871,765321242,998681560,664292384,853601415,800011788,169447525,754338144,592297612,970797638,155688399,244585120,657551232,139612210,95462015,667484071,689056991,334921427,936579340,467459777,27694312,555182710,922580957,5814825,979078719,525810102,74533212,969905275,564439932,473867939,864556159,901079146,779273094,112508986,899997599,620396636,908938324,702810312,932375721,757114345,557409051,915646973,133555247,676190954,838903278,739662035,474613163,496860817,786610993,890840097,453803863,135508825,757765199,160849564,9745322,680508124,6316613,826219608,281431302,759166464,529079867,827470097,71297989,535569527,580884131,374290092,942375713,586634480,325562433,144476006,676575155,531862947,938170514,86589113,379309461,787366353,16020582,117371461,212361098,970405552,331664843,822339282,716891785,261197634,64134236,929488084,466625281,826357164,22511951,443943479,104247087,851882032,242691309,242230110,546762721,323003268,658500202,70778659,699294189,635022536,257363317,207276884,979063136,224190654,428192394,243482429,673910060,905939068,419004401,368935292,50171956,680731398,768145052,820463514,661466322,603276232,174553515,2644192,595082760,350621575,789125063,62471439,484766406,376599161,361815030,620662554,49806655,725314598,218800666,27502049,701899964,204617470,707666409,585743147,451269273,415006416,283225435,288500393,73558447,697369854,112806961,484910383,227717806,357969378,330702821,25059024,65323253,77635758,661727833,48745240,173529024,846827827,622361905,281957308,168336822,161174516,2455710,206558088,26710895,906151888,68353041,827143764,428728851,545947541,128271209,392521598,779126840,819589370,841655681,724062890,814309399,143391919,276878911,696014999,395802465,144519806,606777503,426862866,247467350,415487288,891884168,535472683,959319836,696587532,819144131,619698073,882736305,138868481,562765284,687990784,528871524,796541512,259127627,63577439,25934435,41290284,534027365,195315997,681594130,31714600,981653270,225913290,643000885,111325536,24316956,677205654,958390039,645463612,303722336,965061902,186332740,259828698,380867026,129858171,973630432,446739058,481363963,857966874,327031340,787979579,274492287,227322438,964394260,855989458,624029147,689634824,484212465,43840974,101511304,124353121,197385142,612166735,828428776,297893781,223228329,599642263,276088419,831780690,467826427,136196127,150684381,428646045,21570575,632146699,6040971,471797046,302039093,21727706,460340672,370642982,26083354,35728825,177707708,702048949,555916563,355638236,578959534,634782954,975278198,158456713,68064530,871924973,181307568,902211394,73957380,187688077,64622116,7925222,758352562,394365534,367669242,62023718,201700240,318078625,853823788,248471508,598668366,341008881,888451249,275278606,434792592,859056481,284607741,58411620,648279554,632141765,579282167,461538019,725181732,605727361,435594510,136707095,788077079,465801282,659445777,437530956,302546785,461121488,297710146,88680900,940896877,657307427,940838033,288086577,211766313,293683104,897362955,612612615,132954351,773156261,718853767,730196676,199062546,823264966,658843489,473984166,671326494,449343313,309970873,124292417,188312464,920593394,252610684,773704439,204734029,937039182,2291575,929035669,23898547,555269595,427254257,2928305,445251560,837042356,551806114,879129299,970329685,764130393,190317169,801002942,642742425,533625445,589804471,466329608,63054472,913450495,5725394,287305923,338994341,179466831,516550576,580623886,890680572,158179764,849864976,968386372,673767254,979592790,563049795,550140041,36294515,659364497,866216795,932355013,993498714,244911867,723041068,732801,327290160,647827727,458699773,427969886,406725982,422892440,207417567,914954912,776556917,171199833,395491323,266192435,135982186,650157571,473539170,475517951,372122038,225844542,651837758,300646702,127623847,231284078,151275257,539525943,740866666,486157269,812251658,660514358,801873253,881335382,842543985,471288747,160402264,291704044,928738498,31484653,832186438,316528245,207678752,523957072,827217576,373870324,91802607,796265939,593413256,740137846,424908874,694371692,331175102,393426753,85365009,111689766,585631555,646118834,83098558,136106532,34507337,455347504,707432357,932649192,455254355,508349702,422007536,296856318,519171192,689702622,189755177,469754591,597696095,409905863,985283034,684382649,569911614,214654549,241029252,962670818,424875877,571505451,390259074,513041107,34386004,977187472,578137329,504929451,564580029,840258742,664963145,718798917,837835807,986272617,366447494,857776990,640029982,349455722,632402725,880741695,106018268,132972742,979936355,607314310,496868074,553983141,141291546,415991401,103151507,868768752,414342761,359023044,354719894,366577796,890645759,271874242,598214007,13017119,176188830,109419983,371882925,489527468,515274404,857673916,690162026,655892439,577281501,217580617,863212656,43797080,922067792,12017485,42238743,857523753,61681033,208384614,185933486,212473515,802978938,840543640,29441703,899747501,100937925,962655478,564812270,84878347,535388967,565480117,418890112,408239922,447263008,52046361,121335169,816368774,266919324,22446316,502718402,797939445,399399873,678929185,300714783,801220043,234537529,210538921,934835497,474229468,797812039,226602005,333798134,287689059,214791276,424632749,716929396,359284036,454769281,276815605,183998245,424496592,846347242,866540432,648641001,727663574,843690986,336545263,998346090,89680109,550352946,11814538,511903825,1343989,144600399,102049962,629034146,794124805,234556265,417823394,128389918,821844708,115171507,584317445,629364582,515194727,817032065,579759010,381463834,415955624,962617879,949414826,169401735,604472627,178701688,143344345,112006119,630847385,102482357,647154353,876706500,550511174,826386261,838919944,789635056,679324007,314467305,339725689,759692068,276094079,671788051,551895125,745282613,418389151,523377722,610655742,387175166,842743348,67462523,281558068,719203880,325331004,709569178,784247582,954261287,96721286,565553636,158300330,376209623,84346768,418622664,286672042,219694875,775176118,552513798,748143144,146661839,376071358,594588786,172205273,587614398,705630042,282178913,587306899,292550660,710384686,425264554,727717220,267609252,718066147,227788716,125529805,882992244,935621735,409717153,645451423,552272111,975426801,342468447,726434432,737449203,164732403,369277994,707905247,23494884,672323020,109897502,180571679,356806377,666102640,713760178,485805046,735800693,388711838,133118780,298717766,426860570,355503896,706658693,224678788,505526989,524073701,830547294,7383844,386959469,543836700,448721099,631176307,169089492,819557491,151371042,452219962,158980475,996412765,747718318,498472135,129780147,55237275,271046260,25259863,427008290,630453771,983504693,745873499,192747533,643806511,352628117,160667382,13042363,413990418,111190761,751966199,126597728,469600784,759300094,342260048,640456307,369278543,532186890,348738944,133006355,837555171,369230747,134605285,833212561,323771456,979809065,415229967,456943513,642829420,378563520,523592044,52646021,51062699,106017167,262640613,989582944,875076990,191624532,803260712,664238539,548478425,718323455,549518358,774741863,718304343,923061893,47550647,800129581,76687996,517349113,591467944,599407018,405472833,938798508,19321965,99283275,826369042,989973929,815297513,687460837,370986831,102436066,206547363,426622220,445266964,213504020,54053557,575366838,700081402,238385209,350539130,644989916,706788914,636508005,564871831,111627384,705494679,656798760,271102688,24268305,816937129,869726577,210231175,96538213,207734703,444512207,524768492,598579463,963813983,578871636,425719440,63824613,661839085,463680033,464259154,368267326,798170752,436187149,250249360,434261306,678719737,663737928,967963231,155620573,46734483,759327639,265404550,264188235,245826539,861589730,799159611,252852223,197577761,785613087,980044301,155764221,636104262,11818712,226194665,115677320,285076193,206522142,543727363,728054123,252549164,965622358,443166519,153289391,147986254,484301699,386390806,961175355,164410146,242297047,525719947,310404315,452293550,600690445,457609839,664098836,792718297,585285847,361598655,909790484,970215109,532311989,49065880,306183332,786315688,578534998,999817694,662553580,34903355,532900242,90318983,822251420,557350236,349915863,419729893,332285962,679288238,471455130,425338480,167393423,708265019,629013155,487697741,339663932,685837887,830228617,942401028,630951640,773140434,320696626,8825402,511369870,498940183,970855884,449634114,713378578,698419412,83587370,488742958,795646408,490215644,298461500,867175425,302940166,735450172,868036458,974647935,818837559,938541297,903359417,428318691,465589272,17062857,949675523,17589789,870911288,721544094,559613951,973486714,415531729,866313663,777166145,825994289,208306053,720826773,514974239,123342941,773719396,234152837,834154183,633734289,209492029,125065125,896595663,373480942,618491766,416215787,828217594,91711788,41001395,165332231,671784062,362616682,733574341,89414044,312437435,909133965,712745485,132525321,668690188,564175466,572411918,160114801,87677496,268357836,165666561,447804354,500087318,546007460,357517926,607853506,324732377,914873420,258419035,538088756,719207300,68834858,918954703,655537513,144904070,150923520,722353408,87775782,907111926,616984542,67361842,806299998,19198012,130529859,942083492,127443276,888023530,184524247,218601290,366278701,523743500,266460547,410437943,321892583,283607058,485468619,262555894,309275828,804059885,654658891,850924810,282611567,246381935,48775892,989184510,284917522,631412384,235277446,287819741,714631855,772891882,834506040,998549006,793768792,761445680,239762460,3085085,634326835,246545836,398716029,423415964,20715111,828736595,192454372,857982491,516098662,97543896,12024615,866834652,485935243,484041208,345810860,351578390,548060791,226765495,585200631,726690774,897306076,879030472,723831571,474598284,212541001,714995750,351845958,781578342,285025176,640105856,722973862,404860037,609042423,189398327,546810605,176318678,176937966,153684699,18207415,873140129,443437760,948511159,779454818,866912391,19290206,870848631,819210842,146110753,99437690,201139842,675004636,159336867,177227646,173592278,518984285,911078902,425842498,332860237,178975807,717725339,712980003,926302583,85605956,481247507,17923762,442712425,296401632,293873973,114655408,807075578,979737811,131206181,388374548,734306663,471052633,466254836,781051117,665291329,581321199,848982681,36333754,660918173,81869678,108895505,860904852,329173373,906676135,671185464,15226941,525536578,235622392,597179503,238820480,157837264,498265811,917577330,112195092,958523035,411817428,143762897,283117757,958656367,642241419,170911858,26898270,443690602,197306711,592037103,225197921,725391823,544189376,313850774,768633359,92276031,206284485,834127190,561330011,878235824,451781687,927689126,460808357,969405191,373113940,141975515,903768691,29018132,132244378,249580009,31443627,310930556,651884902,16036841,553017130,912366070,4810047,379145344,967487838,335411687,663100119,4829401,428606769,967028873,781314719,567179675,790129900,756062199,489028196,726052487,87031806,695898688,884474831,280226980,288747586,179053552,262623211,516370796,495651728,432641559,516957925,631563385,704762158,429464299,275757169,998613029,453164289,221276197,24655219,670671450,92056310,602027214,131348441,767521971,663553348,877296739,840073595,450376451,751658470,484303980,482741633,834316419,586784078,35132664,910985767,408753452,960354013,733751950,793470573,723230722,254089606,386004219,287482913,960503122,156528485,463364506,66382925,50032966,981879966,409884555,883948,541973257,715975845,532312665,503311973,994068168,479706391,893896291,591576023,523951440,43263419,555939027,814650651,714962430,749399783,296905263,692273293,137984881,744303936,922414758,515014994,422166585,591797423,997917286,30097030,648992657,767658696,647290058,712900785,395937758,229000480,259897009,38889225,975814100,159763048,580722615,548465258,901706393,1699182,858385288,610922101,354857828,916071878,840398014,714877946,922799133,48323168,508194801,127374218,721214731,199824447,539942109,896520754,657847382,490667698,240826270,284607548,576639881,582385146,848379993,429182661,529294793,359624647,345844053,576330201,518020873,98610515,320875258,85159500,882165625,667643186,403960446,955287232,987370470,360084385,492411734,756204032,888178876,757332494,903809203,814070334,461231053,287293207,683360256,157575264,51079835,201260999,624586176,649989271,983235357,523617704,448233357,246469106,584034534,795209584,590512147,411892998,512537042,507661027,857769235,998738127,472415717,15590519,327978460,639921839,778162007,462444315,735455483,408585948,334192501,9688222,506588477,349785293,469172895,231790848,814844593,441069419,282886446,959013606,946080846,139332810,804110468,925112798,482458666,490649635,316032549,344209024,303408504,863146784,557303890,108552403,982005314,952631137,882499046,503539106,746175831,75766669,661997461,653337576,479641949,833976016,486445691,122055366,289243433,242233220,500242008,753140963,549411603,238846126,405864190,203312098,590517923,203848816,11285039,553060013,17550984,767134864,873441025,897549369,834737481,576229071,28106032,450571788,465598929,894907302,315894694,438559025,956481367,464832651,781258318,368806242,686614641,608931521,506523617,749886915,910264112,186710489,618441755,902481131,539547543,989878959,101159808,974765039,386896951,975824083,911856158,176852987,117288936,550695194,587662420,727625146,304281440,688547317,892976352,73443711,891735067,176010335,728899246,728801935,474930185,910922842,468320392,562043025,51244055,798451867,256049678,730579804,265736225,796285991,819682166,25433764,580128789,476796898,178449783,768475837,826086054,717923191,467868064,150474159,694850870,210449512,173619123,986033557,28249665,142217996,951082022,206640292,878914856,213329625,118644279,627907521,266151572,803153278,788626417,404903417,543828006,630689343,269064250,429789501,114739613,172010517,865496534,712434352,73020308,968000696,246716586,66766743,870557452,468793395,707185746,216712525,324540679,704078247,29579499,237604628,313157160,268212600,738720019,835789478,645683590,28544672,385547533,308415317,972377087,755523131,701336425,170904649,667730458,516102865,387838380,743994685,969437826,590257229,635090087,67082540,385373500,168119715,155565544,546022204,502188613,969012693,727769457,624388713,21486436,135554225,190541159,431841402,913986909,442356251,596741136,127659115,535545855,124283915,562651616,101427299,104694032,698912353,397250618,256248798,133792158,37981921,292755175,761775262,144104851,736613664,438623038,636408929,632037038,690095050,680852858,129448704,769508984,785521917,407192261,370049829,973240926,2613388,996084237,300767268,984595093,86573035,732722497,556854068,834433492,613854081,408422622,254144309,801364820,182570250,385524631,754158433,674405427,300266270,701213819,424923188,533440289,605753631,627601280,75949188,82415449,399376775,794219887,865173967,186967056,566123226,73807419,822261641,273965030,287715081,674887205,371575577,320956034,13010277,53377696,69034380,986799475,740570184,635889273,124841365,467938443,44266808,922086255,111734234,349359440,759726022,66803262,657916860,921086915,487990855,850550629,745500377,921933069,208953492,931427129,841390383,9545617,497950288,962682194,368069740,97752092,362156318,502956629,360635535,982392190,904455454,295537771,123405950,293792250,186825687,836077114,400483040,551731502,914935031,732042186,21620933,929259178,306826632,912619727,153562480,981291254,900409054,255770067,925798548,37725135,298155252,716572825,782160168,126174753,935134771,361616302,460119794,428523521,910897678,714472901,348208511,845362977,432887433,969730009,4315523,516786714,358160185,943561070,514736492,998207407,810088188,126613173,911634793,523828107,621958992,500887606,979935735,239393184,580865348,570276726,721859484,863433952,741753311,671204378,980340802,973167595,691581781,54738282,604204803,490660120,694392314,665632141,71422199,698662004,127993924,737006560,658702216,458815714,118266399,378604844,848572436,734906638,516914496,28859671,817498119,870801210,320523979,9420892,517556966,760834364,309799993,811075485,724992286,54276489,466130188,596568312,302139657,697972142,490308864,397077288,463101654,423179321,853939398,144538473,48829106,891565432,698911630,510371922,198774683,940182303,739996448,476711710,417721728,685207652,245805444,940357257,494732721,99373128,451865802,207401373,85817985,502290205,830242987,126093840,786234730,157806810,150543977,605617283,409120473,969429407,625046407,586469201,341222419,502807145,580059647,598725187,709994639,215150553,905955873,377933635,754103756,781444186,681412408,43751023,203402858,953547766,970359450,190012549,591697223,229059295,564731579,117659546,166559763,7523980,252362368,484265853,81652646,883355806,383170866,529599854,108717556,111377389,659124001,588704910,629725488,714452414,729173783,93132679,854396210,879198919,668442751,915002762,316015018,219678836,445671146,824529645,725008149,140982546,241845493,744586853,721411607,784600268,145980981,732737571,297598368,215935862,626283760,452460005,786492199,134041084,710252681,82440876,665330101,680323033,648862424,16117339,156852635,411024197,237421659,629864480,467139480,431174173,330649573,351316427,460576251,343433611,51033130,514930935,992699215,354261003,28266828,874163897,43718401,610321891,163462587,283580163,143626972,909982183,490122947,283189486,913020782,681250285,810536991,548103206,268235289,804003134,995126247,489701830,293792141,520528711,6477736,87826357,123498395,2437355,744048827,755385681,928276440,963136240,142329454,617321177,335544324,914606413,344910318,511917715,668388505,81736073,600075766,521959056,214640599,288840915,545582558,164472816,658522811,529537464,832735479,524020753,902804032,337229843,946147302,961787780,110839146,700617529,608327783,886422978,287474169,659996050,721415827,869233693,500774350,531517147,110478732,327247975,37655724,196004769,584922364,854641004,189881652,806093610,294593686,712232539,541884844,903734289,228761347,649685241,375989476,690738380,943398053,280511826,432701310,432701310,280511826,943398053,690738380,375989476,649685241,228761347,903734289,541884844,712232539,294593686,806093610,189881652,854641004,584922364,196004769,37655724,327247975,110478732,531517147,500774350,869233693,721415827,659996050,287474169,886422978,608327783,700617529,110839146,961787780,946147302,337229843,902804032,524020753,832735479,529537464,658522811,164472816,545582558,288840915,214640599,521959056,600075766,81736073,668388505,511917715,344910318,914606413,335544324,617321177,142329454,963136240,928276440,755385681,744048827,2437355,123498395,87826357,6477736,520528711,293792141,489701830,995126247,804003134,268235289,548103206,810536991,681250285,913020782,283189486,490122947,909982183,143626972,283580163,163462587,610321891,43718401,874163897,28266828,354261003,992699215,514930935,51033130,343433611,460576251,351316427,330649573,431174173,467139480,629864480,237421659,411024197,156852635,16117339,648862424,680323033,665330101,82440876,710252681,134041084,786492199,452460005,626283760,215935862,297598368,732737571,145980981,784600268,721411607,744586853,241845493,140982546,725008149,824529645,445671146,219678836,316015018,915002762,668442751,879198919,854396210,93132679,729173783,714452414,629725488,588704910,659124001,111377389,108717556,529599854,383170866,883355806,81652646,484265853,252362368,7523980,166559763,117659546,564731579,229059295,591697223,190012549,970359450,953547766,203402858,43751023,681412408,781444186,754103756,377933635,905955873,215150553,709994639,598725187,580059647,502807145,341222419,586469201,625046407,969429407,409120473,605617283,150543977,157806810,786234730,126093840,830242987,502290205,85817985,207401373,451865802,99373128,494732721,940357257,245805444,685207652,417721728,476711710,739996448,940182303,198774683,510371922,698911630,891565432,48829106,144538473,853939398,423179321,463101654,397077288,490308864,697972142,302139657,596568312,466130188,54276489,724992286,811075485,309799993,760834364,517556966,9420892,320523979,870801210,817498119,28859671,516914496,734906638,848572436,378604844,118266399,458815714,658702216,737006560,127993924,698662004,71422199,665632141,694392314,490660120,604204803,54738282,691581781,973167595,980340802,671204378,741753311,863433952,721859484,570276726,580865348,239393184,979935735,500887606,621958992,523828107,911634793,126613173,810088188,998207407,514736492,943561070,358160185,516786714,4315523,969730009,432887433,845362977,348208511,714472901,910897678,428523521,460119794,361616302,935134771,126174753,782160168,716572825,298155252,37725135,925798548,255770067,900409054,981291254,153562480,912619727,306826632,929259178,21620933,732042186,914935031,551731502,400483040,836077114,186825687,293792250,123405950,295537771,904455454,982392190,360635535,502956629,362156318,97752092,368069740,962682194,497950288,9545617,841390383,931427129,208953492,921933069,745500377,850550629,487990855,921086915,657916860,66803262,759726022,349359440,111734234,922086255,44266808,467938443,124841365,635889273,740570184,986799475,69034380,53377696,13010277,320956034,371575577,674887205,287715081,273965030,822261641,73807419,566123226,186967056,865173967,794219887,399376775,82415449,75949188,627601280,605753631,533440289,424923188,701213819,300266270,674405427,754158433,385524631,182570250,801364820,254144309,408422622,613854081,834433492,556854068,732722497,86573035,984595093,300767268,996084237,2613388,973240926,370049829,407192261,785521917,769508984,129448704,680852858,690095050,632037038,636408929,438623038,736613664,144104851,761775262,292755175,37981921,133792158,256248798,397250618,698912353,104694032,101427299,562651616,124283915,535545855,127659115,596741136,442356251,913986909,431841402,190541159,135554225,21486436,624388713,727769457,969012693,502188613,546022204,155565544,168119715,385373500,67082540,635090087,590257229,969437826,743994685,387838380,516102865,667730458,170904649,701336425,755523131,972377087,308415317,385547533,28544672,645683590,835789478,738720019,268212600,313157160,237604628,29579499,704078247,324540679,216712525,707185746,468793395,870557452,66766743,246716586,968000696,73020308,712434352,865496534,172010517,114739613,429789501,269064250,630689343,543828006,404903417,788626417,803153278,266151572,627907521,118644279,213329625,878914856,206640292,951082022,142217996,28249665,986033557,173619123,210449512,694850870,150474159,467868064,717923191,826086054,768475837,178449783,476796898,580128789,25433764,819682166,796285991,265736225,730579804,256049678,798451867,51244055,562043025,468320392,910922842,474930185,728801935,728899246,176010335,891735067,73443711,892976352,688547317,304281440,727625146,587662420,550695194,117288936,176852987,911856158,975824083,386896951,974765039,101159808,989878959,539547543,902481131,618441755,186710489,910264112,749886915,506523617,608931521,686614641,368806242,781258318,464832651,956481367,438559025,315894694,894907302,465598929,450571788,28106032,576229071,834737481,897549369,873441025,767134864,17550984,553060013,11285039,203848816,590517923,203312098,405864190,238846126,549411603,753140963,500242008,242233220,289243433,122055366,486445691,833976016,479641949,653337576,661997461,75766669,746175831,503539106,882499046,952631137,982005314,108552403,557303890,863146784,303408504,344209024,316032549,490649635,482458666,925112798,804110468,139332810,946080846,959013606,282886446,441069419,814844593,231790848,469172895,349785293,506588477,9688222,334192501,408585948,735455483,462444315,778162007,639921839,327978460,15590519,472415717,998738127,857769235,507661027,512537042,411892998,590512147,795209584,584034534,246469106,448233357,523617704,983235357,649989271,624586176,201260999,51079835,157575264,683360256,287293207,461231053,814070334,903809203,757332494,888178876,756204032,492411734,360084385,987370470,955287232,403960446,667643186,882165625,85159500,320875258,98610515,518020873,576330201,345844053,359624647,529294793,429182661,848379993,582385146,576639881,284607548,240826270,490667698,657847382,896520754,539942109,199824447,721214731,127374218,508194801,48323168,922799133,714877946,840398014,916071878,354857828,610922101,858385288,1699182,901706393,548465258,580722615,159763048,975814100,38889225,259897009,229000480,395937758,712900785,647290058,767658696,648992657,30097030,997917286,591797423,422166585,515014994,922414758,744303936,137984881,692273293,296905263,749399783,714962430,814650651,555939027,43263419,523951440,591576023,893896291,479706391,994068168,503311973,532312665,715975845,541973257,883948,409884555,981879966,50032966,66382925,463364506,156528485,960503122,287482913,386004219,254089606,723230722,793470573,733751950,960354013,408753452,910985767,35132664,586784078,834316419,482741633,484303980,751658470,450376451,840073595,877296739,663553348,767521971,131348441,602027214,92056310,670671450,24655219,221276197,453164289,998613029,275757169,429464299,704762158,631563385,516957925,432641559,495651728,516370796,262623211,179053552,288747586,280226980,884474831,695898688,87031806,726052487,489028196,756062199,790129900,567179675,781314719,967028873,428606769,4829401,663100119,335411687,967487838,379145344,4810047,912366070,553017130,16036841,651884902,310930556,31443627,249580009,132244378,29018132,903768691,141975515,373113940,969405191,460808357,927689126,451781687,878235824,561330011,834127190,206284485,92276031,768633359,313850774,544189376,725391823,225197921,592037103,197306711,443690602,26898270,170911858,642241419,958656367,283117757,143762897,411817428,958523035,112195092,917577330,498265811,157837264,238820480,597179503,235622392,525536578,15226941,671185464,906676135,329173373,860904852,108895505,81869678,660918173,36333754,848982681,581321199,665291329,781051117,466254836,471052633,734306663,388374548,131206181,979737811,807075578,114655408,293873973,296401632,442712425,17923762,481247507,85605956,926302583,712980003,717725339,178975807,332860237,425842498,911078902,518984285,173592278,177227646,159336867,675004636,201139842,99437690,146110753,819210842,870848631,19290206,866912391,779454818,948511159,443437760,873140129,18207415,153684699,176937966,176318678,546810605,189398327,609042423,404860037,722973862,640105856,285025176,781578342,351845958,714995750,212541001,474598284,723831571,879030472,897306076,726690774,585200631,226765495,548060791,351578390,345810860,484041208,485935243,866834652,12024615,97543896,516098662,857982491,192454372,828736595,20715111,423415964,398716029,246545836,634326835,3085085,239762460,761445680,793768792,998549006,834506040,772891882,714631855,287819741,235277446,631412384,284917522,989184510,48775892,246381935,282611567,850924810,654658891,804059885,309275828,262555894,485468619,283607058,321892583,410437943,266460547,523743500,366278701,218601290,184524247,888023530,127443276,942083492,130529859,19198012,806299998,67361842,616984542,907111926,87775782,722353408,150923520,144904070,655537513,918954703,68834858,719207300,538088756,258419035,914873420,324732377,607853506,357517926,546007460,500087318,447804354,165666561,268357836,87677496,160114801,572411918,564175466,668690188,132525321,712745485,909133965,312437435,89414044,733574341,362616682,671784062,165332231,41001395,91711788,828217594,416215787,618491766,373480942,896595663,125065125,209492029,633734289,834154183,234152837,773719396,123342941,514974239,720826773,208306053,825994289,777166145,866313663,415531729,973486714,559613951,721544094,870911288,17589789,949675523,17062857,465589272,428318691,903359417,938541297,818837559,974647935,868036458,735450172,302940166,867175425,298461500,490215644,795646408,488742958,83587370,698419412,713378578,449634114,970855884,498940183,511369870,8825402,320696626,773140434,630951640,942401028,830228617,685837887,339663932,487697741,629013155,708265019,167393423,425338480,471455130,679288238,332285962,419729893,349915863,557350236,822251420,90318983,532900242,34903355,662553580,999817694,578534998,786315688,306183332,49065880,532311989,970215109,909790484,361598655,585285847,792718297,664098836,457609839,600690445,452293550,310404315,525719947,242297047,164410146,961175355,386390806,484301699,147986254,153289391,443166519,965622358,252549164,728054123,543727363,206522142,285076193,115677320,226194665,11818712,636104262,155764221,980044301,785613087,197577761,252852223,799159611,861589730,245826539,264188235,265404550,759327639,46734483,155620573,967963231,663737928,678719737,434261306,250249360,436187149,798170752,368267326,464259154,463680033,661839085,63824613,425719440,578871636,963813983,598579463,524768492,444512207,207734703,96538213,210231175,869726577,816937129,24268305,271102688,656798760,705494679,111627384,564871831,636508005,706788914,644989916,350539130,238385209,700081402,575366838,54053557,213504020,445266964,426622220,206547363,102436066,370986831,687460837,815297513,989973929,826369042,99283275,19321965,938798508,405472833,599407018,591467944,517349113,76687996,800129581,47550647,923061893,718304343,774741863,549518358,718323455,548478425,664238539,803260712,191624532,875076990,989582944,262640613,106017167,51062699,52646021,523592044,378563520,642829420,456943513,415229967,979809065,323771456,833212561,134605285,369230747,837555171,133006355,348738944,532186890,369278543,640456307,342260048,759300094,469600784,126597728,751966199,111190761,413990418,13042363,160667382,352628117,643806511,192747533,745873499,983504693,630453771,427008290,25259863,271046260,55237275,129780147,498472135,747718318,996412765,158980475,452219962,151371042,819557491,169089492,631176307,448721099,543836700,386959469,7383844,830547294,524073701,505526989,224678788,706658693,355503896,426860570,298717766,133118780,388711838,735800693,485805046,713760178,666102640,356806377,180571679,109897502,672323020,23494884,707905247,369277994,164732403,737449203,726434432,342468447,975426801,552272111,645451423,409717153,935621735,882992244,125529805,227788716,718066147,267609252,727717220,425264554,710384686,292550660,587306899,282178913,705630042,587614398,172205273,594588786,376071358,146661839,748143144,552513798,775176118,219694875,286672042,418622664,84346768,376209623,158300330,565553636,96721286,954261287,784247582,709569178,325331004,719203880,281558068,67462523,842743348,387175166,610655742,523377722,418389151,745282613,551895125,671788051,276094079,759692068,339725689,314467305,679324007,789635056,838919944,826386261,550511174,876706500,647154353,102482357,630847385,112006119,143344345,178701688,604472627,169401735,949414826,962617879,415955624,381463834,579759010,817032065,515194727,629364582,584317445,115171507,821844708,128389918,417823394,234556265,794124805,629034146,102049962,144600399,1343989,511903825,11814538,550352946,89680109,998346090,336545263,843690986,727663574,648641001,866540432,846347242,424496592,183998245,276815605,454769281,359284036,716929396,424632749,214791276,287689059,333798134,226602005,797812039,474229468,934835497,210538921,234537529,801220043,300714783,678929185,399399873,797939445,502718402,22446316,266919324,816368774,121335169,52046361,447263008,408239922,418890112,565480117,535388967,84878347,564812270,962655478,100937925,899747501,29441703,840543640,802978938,212473515,185933486,208384614,61681033,857523753,42238743,12017485,922067792,43797080,863212656,217580617,577281501,655892439,690162026,857673916,515274404,489527468,371882925,109419983,176188830,13017119,598214007,271874242,890645759,366577796,354719894,359023044,414342761,868768752,103151507,415991401,141291546,553983141,496868074,607314310,979936355,132972742,106018268,880741695,632402725,349455722,640029982,857776990,366447494,986272617,837835807,718798917,664963145,840258742,564580029,504929451,578137329,977187472,34386004,513041107,390259074,571505451,424875877,962670818,241029252,214654549,569911614,684382649,985283034,409905863,597696095,469754591,189755177,689702622,519171192,296856318,422007536,508349702,455254355,932649192,707432357,455347504,34507337,136106532,83098558,646118834,585631555,111689766,85365009,393426753,331175102,694371692,424908874,740137846,593413256,796265939,91802607,373870324,827217576,523957072,207678752,316528245,832186438,31484653,928738498,291704044,160402264,471288747,842543985,881335382,801873253,660514358,812251658,486157269,740866666,539525943,151275257,231284078,127623847,300646702,651837758,225844542,372122038,475517951,473539170,650157571,135982186,266192435,395491323,171199833,776556917,914954912,207417567,422892440,406725982,427969886,458699773,647827727,327290160,732801,723041068,244911867,993498714,932355013,866216795,659364497,36294515,550140041,563049795,979592790,673767254,968386372,849864976,158179764,890680572,580623886,516550576,179466831,338994341,287305923,5725394,913450495,63054472,466329608,589804471,533625445,642742425,801002942,190317169,764130393,970329685,879129299,551806114,837042356,445251560,2928305,427254257,555269595,23898547,929035669,2291575,937039182,204734029,773704439,252610684,920593394,188312464,124292417,309970873,449343313,671326494,473984166,658843489,823264966,199062546,730196676,718853767,773156261,132954351,612612615,897362955,293683104,211766313,288086577,940838033,657307427,940896877,88680900,297710146,461121488,302546785,437530956,659445777,465801282,788077079,136707095,435594510,605727361,725181732,461538019,579282167,632141765,648279554,58411620,284607741,859056481,434792592,275278606,888451249,341008881,598668366,248471508,853823788,318078625,201700240,62023718,367669242,394365534,758352562,7925222,64622116,187688077,73957380,902211394,181307568,871924973,68064530,158456713,975278198,634782954,578959534,355638236,555916563,702048949,177707708,35728825,26083354,370642982,460340672,21727706,302039093,471797046,6040971,632146699,21570575,428646045,150684381,136196127,467826427,831780690,276088419,599642263,223228329,297893781,828428776,612166735,197385142,124353121,101511304,43840974,484212465,689634824,624029147,855989458,964394260,227322438,274492287,787979579,327031340,857966874,481363963,446739058,973630432,129858171,380867026,259828698,186332740,965061902,303722336,645463612,958390039,677205654,24316956,111325536,643000885,225913290,981653270,31714600,681594130,195315997,534027365,41290284,25934435,63577439,259127627,796541512,528871524,687990784,562765284,138868481,882736305,619698073,819144131,696587532,959319836,535472683,891884168,415487288,247467350,426862866,606777503,144519806,395802465,696014999,276878911,143391919,814309399,724062890,841655681,819589370,779126840,392521598,128271209,545947541,428728851,827143764,68353041,906151888,26710895,206558088,2455710,161174516,168336822,281957308,622361905,846827827,173529024,48745240,661727833,77635758,65323253,25059024,330702821,357969378,227717806,484910383,112806961,697369854,73558447,288500393,283225435,415006416,451269273,585743147,707666409,204617470,701899964,27502049,218800666,725314598,49806655,620662554,361815030,376599161,484766406,62471439,789125063,350621575,595082760,2644192,174553515,603276232,661466322,820463514,768145052,680731398,50171956,368935292,419004401,905939068,673910060,243482429,428192394,224190654,979063136,207276884,257363317,635022536,699294189,70778659,658500202,323003268,546762721,242230110,242691309,851882032,104247087,443943479,22511951,826357164,466625281,929488084,64134236,261197634,716891785,822339282,331664843,970405552,212361098,117371461,16020582,787366353,379309461,86589113,938170514,531862947,676575155,144476006,325562433,586634480,942375713,374290092,580884131,535569527,71297989,827470097,529079867,759166464,281431302,826219608,6316613,680508124,9745322,160849564,757765199,135508825,453803863,890840097,786610993,496860817,474613163,739662035,838903278,676190954,133555247,915646973,557409051,757114345,932375721,702810312,908938324,620396636,899997599,112508986,779273094,901079146,864556159,473867939,564439932,969905275,74533212,525810102,979078719,5814825,922580957,555182710,27694312,467459777,936579340,334921427,689056991,667484071,95462015,139612210,657551232,244585120,155688399,970797638,592297612,754338144,169447525,800011788,853601415,664292384,998681560,765321242,473992871,64936658,124797305,38446045,106437679,679504441,799487064,538244788,579715197,559808599,717281553,127664971,615064585,927417232,494779331,112783914,787268132,581554099,729358168,727893286,165293906,484505092,471137424,416912794,882611706,40395308,468310842,432474097,142607442,750790996,983311503,623585055,157827447,213402085,840463534,418209484,526382165,741180284,102468586,836682369,990953220,514875023,652214418,15420487,746462440,866780041,50945849,290702969,528084052,785875857,652191987,44193102,537088279,23328409,341458587,668333231,451636935,736129721,26203129,171451817,948390148,350218545,431747072,753356790,520086391,542445662,701544696,86085653,610850333,526432602,449048848,951890672,907976812,961605009,447163651,597677776,132311779,381601120,64789438,215702134,256732033,820221319,670433168,894083573,802740797,456528360,151125544,212769559,640776923,702007255,292426240,594427688,654223304,156157572,665898102,312343145,331697578,980732309,216628608,150146555,142781520,634876723,712403274,703326234,534121579,334231614,984547640,952629420,979939379,587688180,298641137,671517222,226612692,360200889,54346194,331625602,38002294,195127499,575715367,862527605,978743324,165709836,237855947,479565147,848681942,835052347,828276646,73471656,456717014,682300089,77443771,142811929,7886633,379772998,770750556,947737503,244328095,362906179,63954220,625961376,801185570,808942765,212066237,575856154,747010815,811882965,295937012,920010778,939101720,907846471,273077512,593166322,460832234,204169145,444206053,725241896,423666982,296724530,916180690,299630309,753015352,48754626,282336305,645771970,582890483,684351807,571992658,35703934,931547014,515850776,821475730,123983974,573692339,313238543,32946858,962454660,30775071,391303495,764320137,571259772,748333461,29838066,95960940,282297354,898172253,232172272,189697616,226703570,442938360,589903771,558019623,489024320,724055914,966870301,84263994,27125970,532638236,895450113,954337783,186291366,470134941,605001441,683309509,939354493,247100741,599292915,648687595,795381689,27597343,926281416,870774830,211474244,408044959,552709749,817253406,244479530,994919773,247140041,544124565,91447960,722429764,348022539,435527794,193738084,664156779,157175270,266243374,674812725,392295036,830297052,736635069,252647031,858029868,356384510,84383595,338819729,980625582,308428515,977432342,306568005,961834431,450889616,135080597,156354339,87028148,665559886,178056586,675741560,989863061,364805224,837599619,737880807,857926422,670105935,753073416,478865452,826397557,110679750,634397851,339668434,939183250,489012261,42770489,585899613,317745494,766259794,564408308,877194019,938181163,41365598,422541314,369231577,549627525,24936320,45159240,774101937,16200200,732450023,824474917,837676522,378987835,833030527,277550364,113158067,108276038,923359847,460588286,271511748,224610285,839982053,702138328,194544948,205695570,225910228,18927649,608188962,866710761,188519599,680267117,925108173,106255301,191000298,765777632,286283665,968617307,739681005,345090731,788665295,463358629,534186765,774857599,934804871,709601473,675099898,51837385,691387627,174107531,110028360,280108831,762000750,759028628,847118281,839795892,377750108,918410115,741121927,809851238,381305458,984263804,702688831,155823278,814056207,309074289,950524033,734148315,307303836,912550349,552384561,709463620,956127892,690357962,759417418,922687848,502659721,197105237,731033098,129258934,717412067,359532826,456799389,897070910,946546679,305980420,486785482,353482849,726321207,225291225,392050088,677344573,892059991,375391211,942321157,384982344,88930428,456144909,161063053,613521853,478437554,361627346,716928554,22280932,251038795,356140813,788913329,254813689,427634851,107228209,298299988,848531586,814798909,23867274,569190497,967886643,649394468,533927379,386201960,709642329,424115449,216853613,209035962,637339525,71023128,22923998,103439182,764741669,263381554,38341944,266802012,399288292,508939645,583932024,531703694,929205189,496198587,325330444,932568815,936544461,569460116,357932610,388589157,809747787,32793368,464395167,900527723,73864706,388435742,592266196,136382730,128129303,600653157,181397473,674391247,872884012,884667154,205184119,830622376,727031757,755328260,244713553,159208545,206222674,66570380,809068097,347947276,248129304,301088612,535795592,853376768,26239639,54573521,567882854,823973201,797176358,170437896,467176319,190972826,4579144,998206467,320236035,79107402,221678654,302776921,879298165,421064419,16382374,887327497,188555215,860010104,640476711,651734573,384972368,179416253,870061714,751136934,859351209,571240156,453104266,548042837,325058285,577975757,755426758,994764387,534623420,747862060,361713270,248371879,789772629,371261553,402898969,340947941,83605145,346393953,857903693,761363224,974794759,726993714,510771642,174729771,296928969,467182730,764546509,897666897,544819027,847935180,362256168,753782033,693872250,597257583,781359237,537400594,789316666,977627618,27652143,744588967,735626307,928166624,781786471,10806615,170290277,952055108,388396181,13676230,92663675,765156817,878350060,449108666,200577373,19652721,40845040,735812116,933787217,938368652,286666041,999888286,355135512,329910300,319888430,243892755,986358318,661256124,835258431,817783911,467288952,644764412,787761503,754556653,276190577,277898093,973510082,297483601,74004205,292888799,527102579,673777149,920976519,271015565,659210610,729941487,956128299,569884205,642632073,363629624,172957040,726166406,704253546,929724301,728891769,75012452,771663932,461723141,934669702,721370722,94104477,472014428,616171148,694244062,138623765,548785894,547043661,19284978,590664554,89356907,554770139,156751390,371348826,136801659,653277858,404234595,272421460,690152070,41044331,767325611,751874222,569533918,943348252,701213300,481835969,808259894,824518843,962310305,737745111,531845205,476821361,326980444,968611041,498920938,13420335,479554382,573008824,450764637,222643914,940868819,923061030,724977461,442141215,583578719,94933740,718181988,101634220,651253567,718956697,853138963,340676707,830625696,591572701,187188480,641960873,739546229,470385926,554281530,470787425,43601364,112516283,535743021,341418125,755509957,532162324,762259419,809587694,557506173,264154552,853384724,497961036,718951646,306380474,518421059,572602122,7790267,749009514,700135707,565291017,252233462,725196871,115184817,681099713,206852169,51037115,151552622,222574289,739377618,188069534,303054600,215711838,818564887,294723397,401071341,799027057,912031818,355424179,320682304,26397002,688857352,673992140,461393153,429008611,914523728,750610916,209576409,9040736,424664959,923005257,140618006,40166531,307993888,13501647,71302679,349585339,102439152,427980025,63089002,952148831,596544059,715876065,476734085,942068102,781083618,889806328,148890169,256914307,688874250,43645502,494875256,497524483,973051928,273229857,29499546,567645492,446649817,186447564,579400504,808427423,28646346,23830606,754972709,244323634,855625919,40428020,895627023,448334783,75484191,356985477,772999038,393234688,141601220,379867560,37991041,46771885,277334927,997240796,337726977,656731590,638191973,231937229,347303961,318762687,115129089,486971040,146208313,432662848,166616354,393092252,546545299,769945168,172830779,618575628,17712952,303255123,488093703,69421176,755990109,209008804,497928736,363001329,811314601,874206023,461096109,425794585,682359108,408962294,591089972,303976317,722000748,931161126,225656496,890899411,815357430,687140516,667691674,199475281,389938588,681834367,739518409,430231450,948749148,95064812,754335389,166652496,471784748,541303361,38309094,988548427,188959881,962876302,279020635,698162034,915345798,489760400,374164147,532227396,544262452,707753270,946975466,399628808,32205404,68575704,803339138,988079471,219193387,468703663,957643515,46425705,354186042,273783227,653954469,974086803,627252112,104089422,166980979,225348387,351967648,272454767,642755417,462304835,869453325,162103621,810723178,969130358,920423312,70074966,330263779,908519116,388709164,160373351,273991605,449871775,112643224,830754719,920909317,713359259,926949092,391756443,472720895,225654498,749319458,285401909,776169744,696842388,204868263,815256995,872157267,236461278,459031564,542687422,765041299,827159584,732200382,310994161,451770561,294818408,468825276,983246786,4897127,309144136,660388560,703710211,490014460,588365740,795409412,188199201,148332442,52888385,228770176,800620313,300424863,676600723,976172331,225669688,246021441,302076783,247883980,544481334,394307390,780953217,736249985,498101519,937505264,113631516,753102982,235638482,369775608,442025068,37607481,980740428,810800709,851276619,430023022,234885811,985253593,159105342,364640290,866691499,31873722,198163029,612502792,731045064,913982244,643105476,124312956,155385307,688008570,136431134,832875815,118544471,407353273,438653492,765976904,440643121,727448528,849516900,195602039,768993622,314163423,846986870,583333841,87614820,644505774,564823387,303140332,239823881,162010783,839414954,459010128,739517248,953043965,729156672,154368309,472893177,864782683,704341799,891999380,647781816,193526854,449769334,492073323,963101134,378177999,499426570,8960256,134001950,687389365,651560524,36301817,958017767,882607499,599247852,912725707,862211665,638541990,929992332,497310436,635772978,866926537,363114922,543464090,468802285,34368890,221253437,443220742,998205965,481589371,908776592,439984081,577992536,940670432,665708700,125917329,248986251,431773723,554858257,415224570,981839812,244287397,728392823,555410000,224178075,551718480,691108471,471406966,613031792,463144027,307652785,487079017,854775191,189080287,297865633,262292519,994218730,122246517,483401024,903033729,280169511,969608256,55803739,236939443,780214555,486157443,572905525,143118254,15518765,856551209,278578318,900019726,354550786,223873126,449497707,558983619,839166745,759530386,375020039,671101922,146039260,146824530,679818419,362271388,922052516,493388895,904105232,381003821,986963277,830255146,941543583,122264913,736261972,56910884,981467895,698844722,819793691,624001439,125550736,186990922,505987498,866412710,587710750,412395763,20416362,536739429,43581764,46366319,67647986,179808267,991345436,375710501,846260541,214450838,262622846,980969827,888102276,531793039,125937318,683103803,216340977,744869990,649775806,360795543,437189091,97744179,192957045,694051898,759897013,423837818,463794858,203420150,933678583,669663409,472851741,149069078,975675877,948187149,243944200,858579197,670635566,457769912,695770453,12441548,372819119,395961461,669321547,607116054,605480495,351166840,284234501,562531537,640263920,247063946,398011855,615785698,764353590,447115445,594442313,999681815,345273885,330514339,635850853,534509168,705621646,135199342,402821637,176229096,920022160,458924590,58046104,270270992,414620830,260329296,757634980,734713886,205905154,487858094,864391499,885425925,921340224,563040213,208295826,83677550,979777362,555003672,368689626,711691464,962324050,350711311,622790108,882398675,132366383,897431727,174623929,509199884,111224796,157100483,918420009,761871480,119411823,887117866,383408495,828237849,624723659,124401000,974656374,862558246,280111789,609500744,18775615,423062904,397089619,230472155,773609069,225909321,551004997,582171046,871852467,466468747,82411782,108820180,359601962,266089544,470832350,832247096,477793198,936394113,422717214,475979659,27607242,545783421,527735206,327272059,420642504,64147135,70173489,287535032,576860249,181683376,801071776,452071440,107779673,79433184,837425417,621493404,582587860,605573880,876638226,791402081,159452674,961999858,499675759,727655215,692571800,610249856,13881638,472884625,605182976,182393325,79919529,267723846,167021229,62120488,403325630,354398280,519026910,230703409,454007442,97701656,75709211,709891306,637122865,567979525,942400239,593192761,91776543,776680257,995623936,822051368,250024762,446128650,598804508,544726776,445865829,601448004,771688908,135539848,540193487,563344268,92513515,213972163,511535251,995463775,385578743,341811442,809646736,378550470,356642923,666472965,217663911,574862460,931376833,274973424,988784674,854681652,386429891,91190157,777520627,4698052,12859634,268114183,138023527,368853365,430325368,920362761,908268393,696077886,665048148,963838304,212648591,226842389,721389459,702121033,812962866,51733792,452478369,161227635,18850667,272094034,872228994,680348681,42222573,189029240,209902670,273917646,99595468,674926511,760092182,744934414,906675289,55415877,895955008,936659578,507236604,329360026,362229572,72088559,8794802,759668877,906790739,41847459,158798532,304947636,464102505,225417566,355544832,108515145,583388062,526634175,578547007,559620493,516549871,700463107,801057400,733146517,846652312,560971714,962091903,599086377,331610402,493108598,591716340,826156334,895392516,760237956,325940725,374693282,201391331,702289085,734658315,560689784,71238400,501747989,639346189,598578413,849225681,21530840,711165743,604173049,33911945,581267532,579820022,17844584,743340215,332821468,561086528,277082360,580375227,827637330,121691683,844378602,149462070,8118231,975462001,886977847,225944130,737987792,970662456,608632885,19459577,830838782,114941994,473005289,305341325,453872009,921695873,298186179,732914456,647179712,546530529,515708531,705055537,848282283,305525399,880454168,529991572,215390610,988383515,610212758,117695236,121439053,551769126,994359019,134186831,403857905,787707918,494921948,153933659,702737936,486649380,555350707,365322658,77338048,358721557,788679589,249872171,777959262,350446255,604477829,397709711,455320162,943953833,521543422,66564630,493689274,62626934,281772691,826207162,805849525,155802921,810689908,975095031,80699773,282902610,119546500,267446966,124597770,333920437,490928555,467387870,572618837,558992281,116133097,856881931,581304281,57221203,439559803,825262713,338523476,136754308,985624965,660987705,533280750,68077768,97234637,156921991,530607396,745142608,938262833,174241876,364510042,250239456,705838384,21658105,355838413,15239772,541013220,791923648,400345506,794495876,166992720,235060522,950048474,503358934,276806663,735318282,892837872,25274098,305360455,901796413,245713187,822836701,107867368,209553646,551554377,604075459,192537652,83484748,593588233,354686297,231673278,928143734,285508304,98420054,851464173,944297971,728875209,60271526,422797138,152909470,464518435,381656625,233143386,516021494,121603600,55104792,177884728,684460884,878100090,527279902,190356821,438253914,378937614,531945898,936645858,871107142,604466156,776930933,685466152,889207096,838455396,122122282,137909581,313694410,373333872,199907605,488662861,778517194,517290681,489048587,665029952,970683822,881806523,378491938,883891967,791746805,955680651,903557645,13181437,472504808,702047026,161100040,267993304,688562248,629415289,311462064,659281475,190210721,304776731,930964179,740891349,194968332,971218733,57270735,450145627,732130002,687297280,552502417,135907029,463088504,684216765,290430710,592063325,532338767,27488119,388221170,236475603,443112340,581888936,976895813,727688646,915689404,663704210,130653008,598821101,960370008,43845847,725402986,825654197,856634287,69281978,786043628,812688546,965040572,677151104,17115468,438645060,756129543,641193209,362851761,66539487,552126990,852873010,404820288,178741808,343401896,832547255,908255260,683760748,940658190,159816841,716421835,918973580,908141200,596182417,356231109,644681698,97983929,987885920,222593726,803240640,233066615,393662094,885850445,396357274,260287933,675480769,204997720,737926129,890986069,903963047,481970582,706869739,300343668,269531224,564851612,178399951,279917817,891699919,369181237,79960486,981349606,374600399,445044338,63277317,436986496,893216199,227426986,946726287,577438382,628331272,511637359,182135954,470865701,616537529,399093235,257234053,641900620,568892100,446839488,887116638,455968430,61094410,504015044,172387431,280027933,98824605,561030507,810513413,68084842,620073427,437586661,842481759,714408984,515978869,139907493,340016737,537191462,828546930,174062408,872413321,680242009,640960863,236392599,389534308,640833821,125817173,72849553,52893239,104302089,643487788,337854458,711772154,993974187,570297004,908955457,853082988,650112603,155984194,68257681,576348315,595790195,284062549,916171471,12199176,749970148,505429200,697794677,785226928,175927177,234567485,36134337,373319251,777320008,420542711,513091283,204609146,96391012,511870004,216425925,516961761,47817757,208927517,305280083,317331234,42695291,156821136,84128103,135802631,330408394,344252059,789467316,172297711,993669496,406694063,556870453,660627411,158396287,182105013,123794264,211146978,951720137,644156275,397188135,210373797,970517140,934779187,713682525,116344203,904323859,660256645,607198150,815374568,571014868,894805501,509450567,493575130,818588151,817095077,677002010,363555115,837834567,341503888,554284618,199700649,105621858,810010047,318409493,848855752,997963482,973505289,477369809,490859689,123242950,96824032,597609702,681963852,33155090,995832497,267682992,450695644,427272916,407690714,833333206,551904545,583832600,687734613,805216883,887885790,505359473,659174793,595235828,295636965,233627434,206930036,399295850,168887954,449402410,713006292,494891026,828322977,114100918,267026225,425793870,376421767,618995888,818366597,889436625,7873189,833012526,948483202,489597687,239383341,971103981,611696735,49962937,135858861,365141483,995000030,27288683,723545609,923451854,746247992,356582752,598167718,627841095,585957236,833256888,772867214,115631856,937944466,900537122,900410346,736537251,581545778,80005002,969434678,654215113,81067855,7500152,737613616,985327255,57121526,134530092,44562325,158479320,899008733,364438754,924752600,318492376,834950318,57435710,88080286,375105106,243411191,126277840,374924919,303393749,332281860,395582949,306035832,438308869,763813652,19138896,972419139,445224273,967275931,367192498,684298215,387149361,268840241,371066990,821866270,272712214,75457009,132333505,104041314,61413691,559166896,129101851,787691730,169514499,567334638,503495240,860897191,234496264,650445000,677928127,439558973,204547406,169299748,448309972,101560870,920384748,137254952,208820196,514758948,933175081,953239245,537471167,718149446,258768123,338338516,701380802,488537471,275777558,239745781,188584747,907890089,624035024,537793550,150609729,626294641,217896034,717385227,270624642,758853579,36726385,455012846,101833259,216432998,27069937,299903298,944883289,886347793,450159298,603191026,184999957,508238465,791138441,525189671,556207139,735432333,314589309,84849602,285321600,139828470,469875873,48847746,566416296,214886736,146869658,211426733,431470265,989352852,303923406,623203469,633361524,916677820,968014335,703196837,377203609,749489528,135570505,462702502,280654666,914839545,802154612,929851923,32279681,439102793,845588434,244270266,164471173,859818508,462625632,555630283,592170125,268217874,259760320,698291277,35911461,707344417,351197034,982675544,716755829,899488222,111005086,764593081,654314914,986917447,556481170,976472275,148818674,669526264,756326482,712301091,480844426,687157518,402376394,519773972,590270624,584889227,560040466,614449379,288828155,145644902,925115284,340949335,361402915,152150015,18242159,675025726,342447559,426624534,109390138,621145790,507112232,243617654,96355991,772507786,248902526,284337647,865837627,703552262,982970113,667375750,100454853,790148199,522971836,34797244,971410267,19376315,67220451,702480171,70759158,955117262,318855054,408248701,847386736,693287211,197743984,446856952,58441132,886328417,136405749,134299576,762949896,114424252,135664978,198721949,514356628,939209896,514593193,701111259,209560409,58378793,822995334,396803956,727654535,795436735,149186369,354275520,771926295,285109940,450614018,209021544,803433501,948586698,720222023,768585626,585422685,987113394,527352463,782076388,314548937,637797794,270138672,833532715,991471630,523260618,236390514,7213491,879395683,317612778,271423291,466692378,385099629,65743782,21842498,97795378,908820750,424224067,618772238,768305432,884042512,903453819,883770939,665562544,981340652,988907914,149559148,464569411,585521806,992130729,77928422,537876269,997551795,380326727,86678059,138051597,550572996,965665562,945579053,27612744,476239600,125337114,932595183,736804105,352056165,661893077,575993803,598574232,212535834,690967616,309166973,874548731,566705085,692102529,66460344,122076877,409446039,656258024,361689893,439739808,22612070,131572032,49195375,208231185,896869516,393080798,16176453,213231311,180389705,451634632,124049979,444200084,505300773,102267622,270532138,573036888,460070326,616603311,810553011,612911982,122787901,670175749,288917050,590816375,521258232,416821669,331570532,674970619,128562606,166441629,195427768,750308751,425620499,191388196,50330201,359876765,427355034,99338982,318898613,564466922,125147193,142449654,456524237,711375044,871293597,331620162,220999954,43409291,260363816,129195164,187437265,606851135,784689093,761438589,548770542,524073786,287304596,920632554,154014068,577839463,125094400,28543903,606128954,236288422,523314030,392113179,79958985,258402499,172836169,130172729,784838322,539624203,108296027,797095602,685299433,567358563,487951952,103886053,4227110,281737691,884253486,192152389,699415571,914874767,783749452,743924585,572818744,184474626,833304906,774834803,435456489,266205643,696150425,607843537,685999196,863678235,880080858,968068312,640338966,42285137,29670850,600320381,76494887,415207910,460034909,874074578,311048203,710442192,607347823,866700719,789259318,47748274,835928188,338056299,221370346,440714116,772772132,107214297,553022200,821239821,784429874,244431789,327261116,603835396,314406276,114597905,685962494,956553174,118154432,979736525,620114337,526348176,238932140,229796357,324940984,195037492,387867607,965355250,705150288,99592547,543664369,34347473,246175042,194950366,265753575,332090657,331291972,756888175,156208476,363747360,860569772,70937210,198825982,680135130,13468715,298828828,947632364,415187917,488695509,163566624,306257318,872562204,649550818,630830953,164771699,676293135,508718852,204697171,601652499,514922962,341999318,882200066,111151220,583357189,423686282,438804167,251165709,740899415,74848263,457997975,393861186,62929910,584660838,785074449,987520983,631817350,736764150,152430449,445713313,792203918,498476140,585335001,456337266,566601292,9265677,769911985,609775252,131747954,863809015,435652971,579215902,157357533,453025108,361125960,537277000,408301638,529499453,382572736,877415094,622249589,50235648,828060393,756104199,451521903,247196927,288096978,605512467,70508829,749556641,542943127,977098846,868685089,439550432,313704182,471791721,494322103,963791425,82901156,416440185,966074621,383843355,753673180,571185647,258231752,779884970,961536329,574561825,684468005,181494913,591560543,236196463,236953653,599965352,565626296,655790137,300783978,325057957,225231299,592708084,904050246,81129272,658285337,810482522,270518015,764679352,195673320,554551106,948222750,365428539,385535408,471408991,418625304,899636490,10633115,50687908,444244686,979113327,687729786,509887404,605062898,544177761,934062391,932782263,929968343,902827879,831523114,638485455,460109876,551554199,753517434,201901767,528620338,80093542,23254365,997705481,96500854,119883076,657248141,561253037,254337430,350484925,128490221,990196238,815421650,588492311,171280587,384371543,153801903,611957604,169899787,346960170,677327842,236980921,759109384,572953740,370653288,113574378,719377860,495071892,23778150,88017356,408127073,476995987,652462300,455803134,94079257,737327294,495856295,113751187,895960626,478381007,178617449,968585156,147022491,559271934,644553939,593652743,794268664,571390646,519706760,20577528,631056210,696020084,541676528,717842751,751465146,414885109,81804362,154268876,19241206,582997239,511960801,630736754,1410304,526437255,158535866,617704919,723213709,329683428,549518830,563386653,583616264,474067510,547395492,797556860,850858678,739045669,256432465,693852150,94404134,402559535,814377078,765578834,60899028,792431286,485586839,754925695,982092568,107139109,742942368,339508689,329025305,826576807,262330322,565889367,696082182,207470558,342300377,492693161,676830452,86224291,236964818,250050287,531472999,760756903,595101606,792699217,654090369,456543403,399927907,825658369,582151499,697001671,500495267,600930430,911831974,751502383,121271979,116274533,496030731,936565753,406213245,9117930,28807781,324770589,894305082,450640612,400095007,833248870,358648457,32030457,207789091,109569279,541790555,205445221,576136101,656459295,897032673,846500580,995553069,851515289,247681229,292995045,554498641,350371125,827179637,247073085,511188444,58860096,626228460,608977241,567371570,464405514,266054025,65670054,540143452,132708705,643144398,305979603,890179512,427763341,473160142,94083994,620018129,811029002,314304671,406378092,533043966,520295864,864874164,357863068,692472739,279041482,868776151,538527518,513281683,88547379,23976773,596547962,744087537,161666045,731669447,471125253,469625514,415022342,465030048,224711045,647481429,957781281,69039377,982446366,396598784,166131263,724256899,791793303,715785346,980568584,330887221,404322265,595697564,755153028,974277907,327983702,81287398,435948948,264726879,880722451,673499751,964554930,411434912,933867596,563557679,400994862,229420335,759080444,580222032,844091980,288036843,508010054,985794606,991445338,970733182,555889673,86682414,462532640,927827155,751451499,304762871,369583415,270959529,10037742,573351601,823743324,889385854,301983677,403579202,517096171,862022028,132256186,16695378,979297069,517134884,386695163,831416175,853538085,632248364,675100288,129194433,72693412,347938957,684419965,407632577,675598974,558846950,311685119,232102666,575481728,523192682,451694261,81849257,617913167,402003620,785253307,771984664,154721682,533634253,677914172,56228771,932926353,809257265,83501904,177041897,947551181,436154899,100543206,122261409,777226953,170660694,89375981,774966645,580717014,233205093,217584345,807326714,79345342,736991176,907195421,468612451,868720244,448391889,302967742,354512220,620535592,655827153,446248545,694213060,908233252,221872658,275610517,804723482,595026531,247974377,152444595,134645955,50409473,817419656,748458931,784945436,722419858,454425018,810202733,171552463,365407070,861988856,883610254,205404585,33905977,379975715,646778653,595418572,109878818,457287420,851654029,787348152,843492193,174852875,765451774,699139925,138791356,245582698,284523810,971037702,265886846,257349363,776271640,925924085,418491492,43769892,766514353,140954951,700060583,372586822,805996234,910905024,537074384,656476158,36264700,52727245,339210404,516227746,417619730,44661432,776390669,439814204,808662702,470608966,487417761,495240323,957439407,417827557,505548830,31145524,951950901,626488444,518512280,953415489,753914031,704046113,799881602,117687947,631696595,105377550,775546593,170572917,190169794,893071927,72786538,785002044,998663989,944434117,783050469,607305506,893665041,461641283,211841823,120891049,652087700,808124612,252900761,789102998,659969400,219517833,90633,224327494,408546974,44926847,288144113,308258607,68197729,23468384,311762881,168266624,530659946,734328730,228990111,621401315,890093065,211468515,88668859,327016889,857131634,472942490,262517420,521413371,46687523,393060545,766153890,688023628,125814641,625634177,436020437,21102141,820041125,104243095,75744064,803701883,484574832,833433828,876036712,757466843,217308287,680276781,696417090,696465719,980816565,52711454,694499059,604658928,355486009,628679677,237108619,409047296,437198977,249592276,626612931,122128216,149811978,333902685,65535049,970931245,583800392,668382615,9793907,673465785,635140409,384382239,890050119,248053835,458223537,622933793,276337664,311006531,907758216,400281322,878013051,510580368,221778568,672313092,311513548,416903659,542143315,901673724,707691173,688937015,93502566,798368836,512952556,925381886,376334364,18525101,853699094,746765624,831563598,594956597,420427929,294295393,994885460,96977616,527518396,773888083,731681127,859021190,287362769,686272698,586921369,884563029,990095103,558327382,391941356,943210227,377411806,411578927,22465261,858250147,888791100,461469840,114984189,342800397,590229732,361449790,403343059,355245013,627561485,826055880,58532780,108055131,75753967,899989868,957073574,909383105,70625660,146865994,555650804,608137023,29463020,32369412,40397970,718580018,160190093,342269848,239665281,121279407,228186655,26335724,180734089,442008496,826481627,148385813,115145011,57508722,208623010,392513598,698694239,307228102,147239506,722820836,696180823,751535368,837256282,447682960,27271519,470689317,969620487,565407471,783924873,795163631,290157682,878358879,224196868,328959411,141223093,540323755,158976727,308271113,397491427,949322211,233592772,152894708,253573702,151129597,515765153,501028347,787551056,996167204,416667573,655105196,742824799,490355160,552692222,834766183,321376104,554062385,117583879,276464721,717639720,314626335,303016179,388766987,866460301,405411928,171130081,365931814,667711151,420880700,926113831,975798868,872384610,178215570,270522573,996992337,42029893,870439523,192339160,415115919,643261529,724755417,919698073,7124991,195194274,107267094,31133300,550109169,167899200,488602677,9917735,454496383,23425632,525032436,822331871,823449343,937436378,587587949,640131807,120673192,321597361,170390064,542272210,649489155,860498150,384472037,265599335,141011162,901543330,307506341,247200631,232149949,740443775,89262059,804032956,574400675,840343763,356001209,398198362,408732155,572926312,120753490,989613870,217276460,547808302,58517284,186146198,764489239,178124995,877503140,27586589,44051344,560261917,857523915,943659505,516366959,914576688,663787464,932606595,598469019,754860397,268550874,100433348,688755871,898930838,333375467,711091297,91576516,756761449,194643998,152072854,484221752,481496742,121825243,191868139,458972882,186687870,769504531,628237775,418626891,642823734,216822712,290015579,355264550,641086288,62636847,234475799,948498644,488290374,126164037,28896325,8618775,901083239,735251811,567889941,43366489,513041533,581282893,800845585,350187396,278977028,410410503,309098958,654418889,943461714,17474291,275958563,212637108,814606151,57814892,512254194,258882364,245387600,562462315,278411676,792425533,168016085,747466855,224329031,561186282,186582311,366224983,955219930,624426180,694414386,932089011,762614500,113247323,824113396,753227855,626417827,816522095,463385213,306598462,376189168,435842044,168745380,611416220,349488333,361345856,843034726,696234755,31866187,868543673,183354781,26269539,724897498,238125072,423095651,78070906,908350434,239198346,50482781,313607673,559884629,984156980,723030739,961383377,229871238,303246050,175843779,115706039,635717143,747966997,161679410,227924970,483292706,196261260,841875946,849615673,182172229,633253768,156620716,491545391,850917636,645652611,713103631,599623951,386028170,642190478,43025546,335297471,386408821,610361531,821172538,626410984,648508297,166452706,575593961,689976196,936095511,807518340,562769607,119384588,585944662,541586392,627007798,734122263,230556943,37432781,190444076,428982307,385207129,104539603,113572788,985475486,382659485,722315228,855654206,462722131,860769227,473976938,869327756,849163276,250151210,20293864,97746748,909878221,134953152,196078543,288370052,459388897,594387712,286856888,245796773,638620439,847199554,61024932,512082195,953935139,765592581,821479818,474283462,711713056,256948289,526394584,202566906,62461087,671220005,559790851,25597486,241673692,158236718,299447083,309108733,265481033,815179620,310763006,866456661,483379145,858602612,931437116,91842131,39098338,245981013,888239813,168170969,453216902,152249642,827434411,247767784,817950132,756458429,465209887,185091334,547142511,383977923,773964424,575992642,786491161,410497966,902468209,347360817,848805961,268509264,6067523,235702652,117459177,193564961,880476853,142181125,398482439,525421416,451203762,774666488,315857648,358425673,747171562,930936990,998221914,294034210,314453526,424876316,519727172,567298022,952912751,100050631,100528553,358217681,560399935,144751557,144520716,857837602,262568937,37038580,454450654,695842929,216492815,333664425,996447793,173388148,697702432,616336302,270224112,855857151,416862988,297388937,829695194,225462398,390404949,360557494,394155651,663344491,348553597,99976750,4141504,84782372,595090382,668560380,500299347,627392929,479299129,856458181,213858374,446441321,338128871,11590186,321861942,982145343,40735886,972217047,21586151,288733016,437547224,273423850,666963580,805838199,114932109,997906037,206848727,334196031,211461096,344490959,910827504,997796707,409849106,684609177,747633472,609418777,650426073,402814452,160929800,565506454,693615282,182937781,196986230,149553061,356429610,793315912,398990981,279422906,966110290,821220893,771150614,110330191,386114246,332353600,313587026,377805276,45176168,21403951,213933668,82256012,359781982,294471914,757314267,597332066,818669499,314159753,797273926,281236778,986147455,521782384,426784527,31671243,336024961,405110773,198523752,342909044,407787503,218674642,543756303,716193917,932732149,347330660,918237436,469797315,669645354,436550650,82446116,939085056,945242821,650797311,670739916,666605733,504907879,75893745,104548875,822979822,950477207,19769838,192128094,63653829,93705507,125701717,418811760,447226964,241110480,330918803,544099343,607414460,933716601,866053085,656349438,706006134,617242405,371072051,173515220,724361597,385466793,611782925,636470644,959500476,597414035,917311179,310358745,60242061,341016002,126949467,184103540,75426206,120631068,85877504,889661654,42635070,883882493,327507980,766878024,560889945,741040322,666547194,134016227,929946631,301374614,256866888,235910871,168762826,11523592,690555389,606015723,873133312,955560608,720958703,769052184,189398238,86799943,130211113,671262225,492467247,545586874,160890077,322332829,737601410,470371296,556078586,688952322,145269753,221202110,431801477,382922712,178647822,164350212,224219241,143194039,864970481,635937694,700930125,286386456,734503001,175023736,576166660,987189428,337376430,763242434,514302036,974138036,867421999,429754033,916023647,65014671,783554468,791815337,456710319,463888792,971496388,291154594,112094929,483934117,18569550,46548271,494497918,890810603,945619050,2871672,826314780,685837483,543573690,147186684,85941743,163754847,810912137,269387613,352832674,437152305,905335515,549666270,989223717,684423141,966379903,518943750,617881877,964593105,967438357,49464170,875079700,131770670,798734000,278372607,255759249,947725729,959200486,283129051,943332853,687462635,842969655,669460761,961513927,284759771,957489684,528815906,926480873,271570782,559313947,620429980,49958742,627083250,626511974,843617584,36955500,872562906,318859722,90850201,641657239,32817799,332732466,870710021,504368621,266342954,328625132,795700794,850882770,141145060,917612269,769668729,498971780,612876154,834007272,553527173,199547074,604828199,552147629,614792754,800189083,910046869,34214166,978446149,491021804,123803975,602328273,402641474,607280525,573821723,631248776,344720807,93361286,141158109,975265543,151953739,202397149,535187387,445925357,211588623,134049655,985242822,559832713,111997478,514271745,925077048,771936314,14409606,916530648,185479806,499745320,204877824,712450627,233803392,391893554,867251414,510275603,729462082,600221312,75703063,607309558,1053361,446259326,49095731,92537488,828462828,217866949,14923278,875788096,373466363,339152083,494899588,602263658,530893253,202688096,59186437,638024850,727794439,355628870,206987060,77870355,422433455,31637442,640034645,275642360,486883110,984806956,2597010,384352785,722296027,153766971,873680311,713334045,173923431,86222532,439854071,399233488,535334067,250570486,538357762,929772811,895277504,255459855,527796954,218219277,919147669,708102052,975612950,488518613,401354947,808096263,203347187,488640251,774849251,380267066,608778029,411320920,888493175,405390021,248875947,351186962,41042277,306269968,995214316,288324488,859792936,938514044,762128784,901916564,490158388,991613064,668063427,998757446,962316649,363570581,752676136,781388278,82275353,492522721,935134032,695260875,929930700,39969065,316686793,601497457,1367413,855243355,479520346,530842046,424914218,703721465,525602466,147793341,10040202,696542635,867970299,712887264,475120957,328764306,388328447,836282920,401058922,957342107,511026228,146952698,916125952,848849290,181754,295916364,131503433,475198236,210928650,998111055,712922872,945339846,377939444,14778449,414252826,712105000,120937558,452294266,990164435,391296394,104859055,510709991,96241750,804261617,269730458,862945932,188953328,988412611,836943911,507650772,33258787,71192909,328719522,991804178,631432543,828594405,580300828,975373860,613905028,167996818,25792757,335439960,705080751,828805514,808784823,782851083,540941000,23582915,540176378,375128398,191550351,602460071,936226262,596355048,29889618,648460031,562486584,175584364,353845417,641184259,765045492,828705097,847805871,777064082,743471244,874925372,836204893,13673925,144831686,992056031,917864095,121301202,50207974,528729267,532887520,196364583,893324695,669144710,207966767,674249562,344883696,352005681,253303592,949290520,677460530,235990724,848975707,581593793,468051501,188656270,780306752,435371805,459878387,452329808,51582576,611584144,268347168,41652169,795269674,133501414,696024539,539276316,293596152,168974734,555978586,989338884,579274011,904258530,896667019,795008241,175846097,223967264,229153187,333409843,581216140,879803069,947724736,235146636,970186215,406664002,880050120,824772087,693077842,918244011,624116544,528262980,54269452,762788421,692823482,977658641,224458660,632303751,204739114,578491225,480952153,722055426,354737535,703723593,195800639,916792789,706736402,964174765,874358598,809776956,847318543,191070206,625420465,968606385,433890,378705844,967425045,235216977,651196348,284796026,768173435,316685548,373280516,996377577,933062881,470487396,361789725,26518735,748979435,381103439,743095213,567088097,227424464,872828914,731077443,953983152,647082265,424477619,283071594,577475398,492359821,438288697,177285923,795229052,597457382,982020407,563878598,656083335,905492980,832325640,843925868,634255508,504984658,409019440,969041598,321230567,518317047,156701505,907298083,449939004,780015768,371150134,111530496,298237803,343601227,415064501,891480143,31814814,572779417,996187195,331641119,996318028,674100831,855030261,4634680,534709947,638865682,660763335,877773896,747682893,116753208,374454438,608166525,610957359,205432694,606842775,766609228,78840309,672607828,657428642,710351350,860049884,119082354,485611823,228526957,65440361,475350620,78530799,960740385,467876956,307746777,883295410,956466741,819948549,967943490,299210570,397013186,253552515,6797131,858028446,202220045,27323931,116681589,794090046,446557754,859073180,573011241,971270257,479748224,17116709,336060472,120023966,419111512,855932213,668733717,141208219,400399223,345753839,734644465,917085145,370845373,271383035,213053196,423384165,906056779,370719175,681136804,651692435,743886684,4492956,844422113,967100263,366220414,874655836,10733401,276681452,526679179,685708156,941903089,470442915,652500261,162739610,334099726,754597536,830265273,74011599,560181812,326754596,282969521,574167483,959051956,655187144,801268095,280550496,575221835,372119932,926119393,424615808,305430177,903158898,759404567,9757112,82072200,162102034,698088268,831519361,743187160,17600839,77511249,408192704,188164965,335203365,40318930,414947761,193583359,183174086,199404830,173744616,98345712,562477004,725601925,609032326,968554467,416297660,578981811,474348527,454868216,662750361,281840319,826766782,811434059,11647093,749131521,597511151,328661000,64894861,369707027,912076023,285190676,511279725,721664448,720461088,497922429,951485352,855009499,327040467,691029136,195283692,24266075,892733602,735273178,476455384,219856104,887021191,781987800,353985473,236195390,374517885,389365157,801000112,443665854,822954924,11108754,432173430,696772794,748161679,502590050,670927731,316709922,270772396,961021198,378471571,904471586,299621319,764633657,666108500,305992084,567341466,967086622,943163289,201792469,737870576,793630234,420724670,798618845,488255545,975692068,309164209,789796364,810708950,741293915,519289479,146459723,402883650,265595047,522556243,455152906,617418014,923698932,454871072,413428803,163689744,382767536,245192276,636604372,927441775,573487429,507711158,497325169,158202949,743454544,493617828,185015421,417967848,979389753,916798528,223205254,480504462,372819713,727904552,721946149,206681439,8466306,421758186,794221279,242806611,701055416,380782976,687782555,408750717,683529598,437828111,781464233,897890527,530159966,999655036,109285762,847061096,988961186,684376754,66173919,626909763,708544579,172320371,74821092,326302587,463764948,300653290,915763200,291484900,371164209,100203518,583821253,239321029,476251061,613744590,65499189,690727154,53774949,495329766,491985587,716654567,989155430,616745146,782900444,433479221,638169598,954963614,149892772,301883312,642058594,325838377,891838932,424664709,40204536,524331039,898468858,493134301,125117485,613482227,313982898,500674959,385764088,338472239,675735440,829385596,243988958,577832803,35052244,919124800,591038106,593289970,744120489,565256855,807903648,537499871,663774952,909557038,465681006,336751029,578434301,548365307,202985197,744715108,261567275,740044292,955809961,956566189,348438420,905591772,540968350,901118468,503258051,224717750,109321143,322355721,189401549,233529845,12179801,932416083,848152508,576854129,621004095,538217125,657918769,749692335,756903702,637964942,429472106,242633235,864053490,827236891,533968991,608779821,657637097,276284749,775768789,201909899,906451119,596176275,957859160,421131111,338494971,40598006,614474824,308527606,44583910,484699818,793814154,675753020,374221239,746811408,111503863,822307542,936732191,681617462,690534069,935706528,703031738,107843914,529121725,79215403,713883779,773940651,145846678,642040727,581694555,76004173,628877526,818588732,381798547,280506504,594247061,764318708,68301771,968459117,956065180,30729071,397228375,824207425,770196498,897707093,739575019,214930485,274152802,296942730,67898683,831763902,75846600,277216691,766971896,12129337,598464347,275290458,124899195,829121341,292156224,264586439,23096724,111620405,947199296,998022356,675756371,870046887,354647064,854818377,521948420,759790570,494866221,281288165,189074161,671290785,433892655,553954939,803982129,209194443,751811672,127033324,674154832,424860366,159864771,232703745,33372969,747293177,757218002,643538530,85451042,962446930,978192821,960230437,963064469,409650572,917336223,298375151,139182719,750300239,81779574,218603390,469044584,661676812,956821111,45146277,742086226,992854491,328674001,369682836,948052556,748577851,655513628,815039687,819317094,602992845,113840535,389726488,765326903,783005117,385954662,858066884,423450742,161715518,152805913,824554130,518120677,651394612,803894798,410872729,988849679,219438894,370413075,364663072,55613860,539966847,640981192,676873086,738366869,423562177,782541030,823032110,873013165,837330737,826957162,257866479,420424197,231347815,759118657,678680504,238484323,172941078,451150488,326608753,290527830,950652249,953989757,927574173,857439268,675492315,807963008,427863947,756392768,154632891,848329362,156423538,674478302,398737199,995697322,400735619,694662344,758283945,806935388,334693355,416397413,313850422,496421764,842939298,960195027,97960344,172134379,283526805,534416267,357007389,714288276,400234084,471005883,799855240,950461925,642740076,84142735,50031477,664105115,500360072,132461513,280431136,242822874,315009809,581706111,603151808,453057045,815654255,627980811,569881832,870755593,667679535,715737605,404200163,809613954,915830655,283205535,787475171,713223574,559012816,475735767,488848335,304562318,530160993,492993610,792004373,949180442,537647964,623993898,707620301,565901031,50910008,891219987,193341730,404461412,634648439,648417715,757300377,243245976,242413901,248064341,305965860,185120757,806683711,5314599,889923681,25844447,614035173,618840692,379185710,553864891,257779585,892638840,100802569,768397042,402937435,144200960,396422187,102593033,82697373,175580361,733594197,476650912,823509922,583729180,415084694,751556140,518562204,628852024,975773135,69386506,267960510,979944564,772409455,664320819,580160710,538232250,198914913,913738298,972771771,954186464,807441391,243901467,898893351,877851253,410334182,9453893,128080071,327084748,118405793,311743688,973135372,259853435,494314244,875650333,792683997,373387920,321463907,116327452,596373287,149972637,161280272,221888032,822718773,530501453,978275808,293014075,824096272,773288152,729043950,932985634,837040829,164056618,762860943,983768791,216133714,342111645,82123809,130268754,376520531,715518519,493146397,508189995,482502454,508014694,791375859,127811361,542448818,293851596,968382222,229738712,94908691,771768998,642888070,64330400,349778903,911366433,297951941,140878088,67846671,587303220,206845742,244768696,808248008,861466066,435489137,779904129,84472445,916197502,912052198,238459572,239319401,221596295,841733101,322837900,761859608,314874022,161297929,957164989,148998325,390648023,239476613,470995688,460509738,123082568,725554129,847944021,881610365,899250546,743750028,555554625,710281586,161219279,560963060,847437525,841085823,90459165,915481680,498835673,565688523,657548308,18479276,72022314,851876027,774855435,817093754,620721363,895121911,462939813,223500106,337341178,126575701,984003333,254787826,132283630,424206763,595134582,329582409,376577663,916781900,225849397,607226935,750072541,11435611,408357068,55900678,99169710,288643319,459057726,890769620,880645313,446677919,273731576,860940919,64701578,735474956,906525363,863361088,756351507,18719016,975640496,378179858,786905986,112500479,992278787,152445132,290346975,622989231,44774147,72159586,226967599,863143085,333707433,950231908,206564705,979001542,424280735,149163790,425203470,488321162,249770167,277287443,993762927,2647982,775911634,976989404,234611215,235513790,487007983,126196737,30508986,724873956,833647855,537899260,942064576,519882829,951681904,235034270,765094149,135346514,744835574,530422666,155363252,781676108,682495320,454456515,750445390,467971808,918999780,156855840,8174130,268632806,247947124,378563064,718469733,320911124,665662537,645210390,193892293,756031696,984957722,934971169,101180957,329886429,873601890,836422537,817195617,660183078,793583366,897938804,418528430,672128251,412896794,641059279,704731817,719661963,6783894,491785305,803177588,563238215,728458285,637120351,749387156,474619810,387202830,779058685,324219769,138490896,617468208,40867893,238227445,208159217,107110565,716587419,773352253,537200221,695299882,228258474,753040630,720381773,965745169,676574306,410585214,613266266,326333965,525636696,525526564,925111504,961029502,524216339,976485429,981216366,476729739,476683905,180707603,791392812,555289678,759962838,63264867,121942251,211281792,754933770,756479169,528435723,23651532,453374686,98362696,83018471,783053792,568754708,904298661,607591643,675306832,955937254,122589302,25144625,974301347,58228842,356739893,987773990,962707276,278499369,493066272,444399879,638302413,445384384,3009769,227944218,242156749,860768868,394538692,867001836,905109730,617536314,474936938,122256662,502785277,198804533,948070433,819636711,373190230,292514524,724136380,364192798,897140796,239859113,968366172,283569090,238611556,669337546,64627544,126330580,554241240,814435842,414490644,514849573,228419942,535121763,619239763,162129735,861200490,878925091,58872804,858620168,556120767,1129476,998216882,823790898,265001069,495649820,83992011,395599422,654492059,857700267,251210514,822455849,698523440,575560786,657570398,8830122,174543770,96991874,948004089,120779290,614796673,531596999,397262917,723688374,54919543,273928944,854692709,1397289,802349852,845266096,277767596,503116544,946639402,800871289,785090503,571472676,529713424,921562810,121000827,543475475,211031365,430871234,283698002,177408501,551057782,131204991,817042558,63854719,470820039,334357575,749121384,374698286,578261218,408669911,592234793,15831390,910592186,724079560,745541261,848817065,670440976,465566685,874712451,411958945,129002802,633899284,416309856,113760168,675597771,752707208,869674918,973939345,810042340,550418173,192111106,932833925,72441403,241754179,12205719,524453518,227704708,718293956,569994133,481576686,836860302,713642244,513856252,219235802,443355270,601582330,975556161,294464764,141467873,577290680,32097886,289827903,338093847,367849863,820119682,658288805,671527143,567065231,98761586,973356722,475071172,567792023,702558159,170975269,667221986,110896675,295764361,919253288,931623722,233076177,665375591,530147181,732040840,206395187,595480474,950887497,251413115,431314887,347797148,24366217,141231576,945002628,346224834,694798113,114165992,201208335,760968114,627499499,219706719,234468284,291352867,951125591,357945470,7053568,656225504,763753912,800618894,465426800,243121691,33032196,633433423,807575268,466006665,742021957,271344984,141492299,800657164,88074933,531829593,726333855,647072230,152025559,531315844,357194362,819277127,160434497,44041218,227311735,94737221,772464128,650080353,236277329,379250591,637083550,398223155,227900224,46499025,84669858,751596471,549384381,840115680,278713864,117824264,54241127,672941051,785393377,502461940,632402122,627729386,250594569,546205682,9012713,987752660,310219016,688389322,385443023,647515123,597389611,429049844,878943724,591211644,235223777,27478422,785238221,946357492,515902321,307185853,29604707,234751620,684316574,819775667,838347546,190464426,628273084,298023612,124695312,704328968,931957153,151368148,539791072,43451573,341999749,53675799,843055756,4117208,141457982,167538332,293609093,240843420,481839368,568664099,904597932,310704887,476451345,344383599,644752919,810550776,84739797,288251106,369526287,686894304,711036073,937499925,600643043,571924708,118726403,70141889,232636604,422417729,676712366,955307060,314818810,567292840,757768772,829101644,759087715,680614165,958045246,538572691,524468836,301492452,263534844,503139390,161102893,566929756,107817535,364957277,821180874,71899426,447933263,895156436,136076612,222147274,250540773,751244453,779958087,369262109,592519128,558110979,687331660,726868678,596971876,845477169,585277410,408754570,886073659,183519258,910400777,254458459,302559580,144323211,198034775,698757939,502350295,217909942,441470041,283867375,268520362,171118196,2703338,799115455,911292638,347870063,45124911,150821469,121101847,315237111,105722884,895493949,581695873,422564267,929133135,804610270,540360476,195960437,681769863,132845064,802895215,819326488,415232195,217448590,123928483,477159015,538307470,302676330,861653382,142952701,625098829,813475365,433932238,512170148,681916159,18112944,643954514,628757537,949426507,203380053,547641955,170733587,419697199,711138030,105726788,299632459,563490962,134556151,838456094,476780274,119954577,977690886,297653236,571536718,417797511,691148053,5727709,9631743,534482829,31574723,227351807,507608446,442423397,203797768,558863983,883658359,9015315,50326259,142209829,28922935,992841751,41708611,471345158,661807387,455839341,985099867,736599185,297481789,910896805,745505815,461641814,60006410,487352860,205187374,727969542,890234887,506332693,666655218,169814897,291405167,16307201,916227501,280520427,159958730,677992672,430697144,814978393,243514503,87448007,882640300,170148893,278793446,188594825,468944209,190671586,999768737,149922520,857378648,452531699,356121419,787224547,837776389,317246861,409346824,960085972,30451359,990402696,515545735,59539129,728729403,743557726,324133515,373120691,487315374,691694490,841728866,352696935,563440093,780977903,767366612,712354765,270346402,761073817,659429033,342089308,738602894,260729804,37698044,262950372,361030628,326388880,278426972,228653452,773902815,430694860,919045183,294591359,699257464,910838917,743145474,737860260,52173036,332017338,244131987,376645649,202918975,515765921,49246723,424555915,81697920,743523010,770814365,884631964,306898347,457971259,961541276,796525500,426296158,451995605,981789361,507006809,781909317,633207176,156413053,389494586,320412172,589598266,177460207,445679750,666835173,732285389,372177142,769633660,744052708,688228579,849985833,339558212,322482023,360440133,760893233,767511405,833901845,497827110,537081871,969629690,599107868,24289672,389147755,749032562,919011008,475908493,330594677,106027656,283214576,297369475,563147037,633345496,376572365,12965299,397307090,342766215,907561597,66535784,907379760,440929662,288939734,620291569,618935006,173881884,280201947,899087699,443513685,423330428,775053547,647640280,109043172,196625686,419806177,286346606,15224457,110350342,842243926,939243189,287042155,802812499,464293964,29486441,876449028,765578616,398824879,905482576,289479010,361185344,501422875,546115595,857274536,655287097,4055034,528598685,177721579,909319191,49332118,531865138,265435671,191965056,216341315,836012148,170311254,27061442,845939246,59854814,901524314,188470626,544958936,858544527,369270663,314019082,545251980,535955814,10831638,516373667,447472296,546026429,710324537,871181285,931536322,280265440,242074541,207617341,897790527,102996851,185407599,412549820,324275488,805562525,654835895,651209909,565314079,701392189,161676916,474474590,973446348,300263392,802143833,244319199,308409998,813551697,151392018,658437615,341757781,836245890,447255585,523965427,87725125,204988265,825586274,276362978,908609727,143525134,683924058,707037740,800087007,616770914,572229121,205673104,647999154,482048241,263617983,623423307,275887308,105968420,137323660,623930472,907304001,582769813,421601009,318330285,636464785,952893938,930693863,890043956,601679971,229853647,962771789,137071287,664578142,318097834,691139899,305345032,135774839,708910770,367153822,742272747,372730806,565238307,579105992,26662106,233111213,770691065,393798424,349602928,80121058,402549688,928560700,318843252,34686060,374415887,989844310,965941514,909094857,458846418,668183874,432740599,345426083,498992752,437330613,360976345,51460380,501703426,558674122,883835107,610990335,130097171,745921023,846635046,348022820,11325348,709293132,895465172,77834978,833598043,784435134,232126693,2974385,640844532,212485275,348186668,247129981,190756057,922436120,468778625,655157901,191246064,419357270,387192268,434214546,541304553,475891338,208127863,69129998,433015047,547251881,137158847,80982399,323693311,231249952,754861126,935777306,239419536,25289928,958938674,802920548,93488742,884245682,580322519,619941660,24018138,565571471,731183615,662312928,901106853,881796165,847964294,825573087,733253768,523219858,494196700,811096717,940810025,534014409,95665406,975136126,296139331,58801034,440681044,535007414,105823734,676742231,772202688,65434799,531618717,546844140,334436995,673899425,314877085,349289049,855872224,437950289,210355602,429571213,571243555,182918587,519164099,703568713,29809787,840440075,301564844,348294767,459142214,431971498,846699825,962626615,718758860,639767762,485825430,609998986,218094221,635682570,545229627,114066560,949772562,221566182,30975798,34219308,257569143,10158949,487966177,161229336,683380044,883838998,186323710,340960399,900306234,895062440,482754287,223685763,219401839,635202732,939075648,792391187,307005224,451291493,693968761,600722882,116262241,616455683,552870049,610461712,355723136,525271875,792452703,921430310,856923305,576424951,7898596,46280803,902467448,11570289,857322413,90315953,497798646,480380271,396971994,671966779,32822360,2468990,335044372,124409075,764417215,439134677,913772934,932901832,251465442,349829054,424737914,82953781,456025205,365830691,281794684,623225535,855713114,162406792,527525414,308529786,131555338,963109058,538776015,321458595,550885710,585416974,504755624,655544732,859176063,465063382,580894003,844895947,195484938,72431850,879006680,148465488,563424679,185053663,748547244,518203384,628236838,769918575,990870657,480804930,208189041,664834308,449567358,818725917,62494280,155396244,649937709,51904503,317227705,995025233,175457012,520020517,319680107,951678482,35202427,646795970,840366761,883838198,29328913,855313764,752269979,385542910,484643324,652284566,646360685,718888247,857340500,283180680,345714287,451463530,556997271,217138803,79034559,224040171,226701085,908570710,292792956,591568066,224974403,123603324,166349094,699452450,241050535,578087876,140566905,684567794,916497704,714988892,47819992,510922963,555431833,541868449,560369402,860792412,876563839,635432241,584231691,308237734,671899340,820875491,661873001,906971715,341471194,684817262,318113039,171054346,952465783,891779933,497441418,75308291,306102252,759254369,5296754,437172785,253078276,661847723,874513618,113669693,716480215,965710366,580124353,336475498,761208093,794656126,807748665,206535271,321187496,580388352,283664753,727555573,507576419,41896159,558504722,341931427,137932602,794117782,625586876,67239558,996462597,239962534,570088921,560865464,237582162,581644294,779955104,438832139,295179407,785409790,980389356,659452577,923011569,305894142,909449187,122472516,870453159,312034262,24022802,673525974,921519425,476750092,636586412,695702563,832939366,259914912,535131167,387839772,124980438,817392582,873614520,349043947,894659263,129944480,760709918,496155573,693391275,350026192,584803179,199415809,72226413,973000896,298012501,79855281,551455768,432777871,862530639,921711462,189685000,337036964,357318247,514807242,585164798,338287113,274464956,976738863,33527424,504818058,8064857,819566937,512491083,799522907,805620161,380170601,77032819,40790799,977884186,378769344,990616106,169383191,763084054,680695637,354871770,246439152,877093587,855135953,202709416,735159076,765327137,237574891,677109186,144157773,221814248,39096048,115985767,375290124,817374396,423121154,599079170,970508361,245985144,656871518,331347076,232663863,461487860,771293428,271505644,113843494,21243570,443646496,2515939,224694423,709827653,387494757,446799304,268108117,504022596,365450002,929952339,669998494,979962347,470551080,115533466,239266854,443991677,487978988,427526004,972963563,842335853,977558437,273934230,132107205,903278470,333935212,212397086,354205277,608006123,229586457,953747018,346188292,285684646,82156546,87026396,339739981,387277322,314690879,434030470,411946773,169561843,743557768,283301495,960717254,562872639,367226300,489042903,15036919,305759914,216068123,319458048,953388078,252691407,841725058,191661553,536986554,374832539,891752004,774792577,176582907,251624709,7756568,769646565,608603619,20179880,938143109,97995386,594540224,49790766,451276447,751031253,577069093,520296485,520855307,983272020,753121965,466189714,98324050,869813124,829718378,453272375,591262518,461408952,811897805,581688759,706088561,592735596,823470858,667249951,958683543,458383704,813921778,705156135,151085073,263733029,155548434,450236079,34765864,43829079,50837762,212562246,638970843,683973160,612087964,641045173,305398175,286406310,930235475,951901861,726903196,932750311,736804820,851908262,610398506,856046548,978601510,370758573,208989990,82970245,471939414,826547740,219122637,629520819,781967528,211281095,194901454,900153515,739578921,612523476,989838086,927771064,523579536,903312156,142803111,581929196,277611661,264878497,640591077,448021271,927353670,261180666,253500977,542109120,564731033,604604212,284701402,13809863,297708148,935972348,98542434,202236167,186972771,729118744,320056426,46381072,891322337,198904401,160542037,665500098,503938841,467212099,857833266,739833766,157417656,393014487,54958567,404996972,778440758,400184565,106353257,916913263,597400570,459762392,789129497,753375411,862892043,404764101,268155287,546534216,794770194,623574626,46263421,886615864,51486674,776329482,532370974,743547259,620386228,465283539,721907423,268911318,937026812,937989356,79595555,708855686,622776759,224119473,83759838,564784821,663496750,479462245,22001826,285686132,606358022,581459784,409315693,995558628,588756317,193810071,411655324,106838605,510344516,590570906,997351534,625609456,864233871,146082516,154129468,353555034,559706286,842408354,91547965,925156029,895457800,461897628,712638152,478677594,264935451,240100378,103008283,243213207,596375026,323104448,609909815,679914578,200157311,384604187,927274889,623802064,516055854,731291965,712922880,812159014,632813044,722182627,904161379,52777173,71818002,415514576,667809122,72287443,505223986,573404715,129093530,73369864,754872028,493767500,575109627,557769630,401293534,638224974,187708593,700561742,630894888,614406522,317540878,535686262,835820269,549028334,852295808,2089201,211735060,479364824,772779566,868638678,943400963,102640919,736202254,475931729,713638116,274743128,4197393,210580475,965595327,784862197,204442746,822939465,950175731,816765293,742083613,121209083,925058059,864807185,652424390,67609045,873356901,796225530,511450836,912357820,46293016,98131576,487765829,471233197,514619365,569352291,278768670,589141195,514487294,750110378,4557405,138849349,40750941,315665086,690396341,700267847,625238804,757573970,369188177,214156529,436722687,439672514,146899608,986943457,64159170,3994093,419111103,671957953,810594114,657972481,877857840,551321580,33420016,329150516,833930109,736473464,747381767,55012266,351172054,634755390,402787276,976326011,501035303,527060455,665205194,334441894,855587853,749925299,361587553,345038899,766235241,436866917,889050532,285473329,637160012,892772686,922773995,270174537,48918747,466834740,9042025,467419649,354826330,459256196,826591156,432244358,482006769,78953909,958357647,843388195,402793003,667751048,284422470,547845818,191750187,631760996,731965765,604023118,311597622,286042779,220364360,282567176,176494031,542952461,350255721,37560231,72032543,132898380,613171021,103058821,470653002,393466400,846287550,496967732,916016451,797728298,83969240,393290959,531199353,414752405,500729846,185548939,16244359,621449022,3320650,755019483,65306006,447501112,197385126,89018581,744632473,874699281,132760140,809108066,582161205,913650006,188633727,234480562,922549871,126203003,795030393,346533844,847891349,860098660,182034994,121384704,186880441,809037674,127329942,219924669,736839136,765080490,333403697,845226768,146316534,775500157,929164935,451995560,978920133,878027654,32089048,389001668,839757708,35481057,761530907,898910987,560399938,704058289,193518667,493410173,232853979,501344936,373659774,415548692,566311923,747131629,622647416,84537165,74107880,6882349,638333780,783218720,615105176,972273457,447786609,193301201,547485445,179231688,205684527,141111953,662476125,392826797,548004436,684947906,912899307,778264971,990506789,868783470,127136135,258221423,923830157,315393032,4569381,773687654,952605807,90560866,504988874,152756658,980783302,496084558,972600643,770111807,48458491,762248890,993185182,11851314,269443028,652453185,163264028,939443428,268044462,510735560,233314592,588671741,755199888,981777016,703677845,968299113,519073067,517268768,648271392,773202185,4000557,510133380,491276479,94688958,408011927,269161409,953448225,203595530,445796554,441879569,660117000,568232022,821956323,176456718,903186459,588656390,385172978,244520597,327414970,405300512,509050109,379035489,962138244,481490644,43847164,104295644,152468765,278568805,504006081,854822516,672631209,581682588,145292825,728704874,357556285,725543520,313363151,482354222,301344392,304154052,513541448,825544475,667387630,258000479,581347129,256535417,252590501,337558560,499680867,952148101,159944821,706224522,715852738,466818020,341939169,629697501,60935480,328680780,601670310,91119242,61563963,973606718,714793756,788740110,594411239,857743304,211726007,523619292,819758743,198873890,531797472,915210478,654758230,40777536,300024818,932403042,860175779,398302205,5606400,1252368,949972454,736399286,30590220,915491876,758807599,391394760,537209389,677349969,946955191,929827335,287230766,514133322,648445687,278098007,403274102,537900331,72449137,436765885,181816203,842507692,70441359,511879969,742476228,930059822,394057847,292854344,706700945,687755088,182555332,898983694,40109846,49055685,298282502,706527500,180575132,860211262,250488487,912652382,710230444,403604992,109109883,141334753,761301049,190735721,208059657,153596733,786197273,229925602,278981229,230714725,894167416,343306048,516153585,712775062,425804428,530779570,277999127,519941531,16340232,388024748,845639632,895865415,45530933,6926942,767361117,986350223,637706006,997410337,679068267,104109050,715363071,163987849,583844132,475767778,164340328,126999458,61284121,534900095,184136733,767810835,413682581,453313143,607710069,327488447,942853164,338258378,416486370,211183864,859400581,511691879,951617304,242572760,841297498,197461844,295997051,835038288,80819532,724168921,276216452,808547166,433039803,8084750,991546112,749460847,820938333,984946201,169948165,574460195,475029699,866269672,17223861,350621262,266980793,788814667,942977227,978185202,679623186,428938869,295589298,499442957,991714472,259803076,175226516,52914656,902141444,201643797,377390831,652933506,760167472,767687848,936409681,732979805,309616237,637074107,367762134,220253357,99726690,129916138,155356227,682111680,76901625,937524669,35027397,659181980,965640492,836716862,228129694,610322972,679062217,491135310,624334319,457571205,840064760,370012748,839993911,156855628,687177862,526570665,474115756,804928377,898590735,113767920,593395190,222453390,996313975,683247624,47416917,38593170,685304033,325907448,549291108,164862638,58751459,71457026,205894431,51006644,452202605,359169568,118339941,878993767,2426975,988448624,123833989,905204600,361662341,790514961,665468647,173648264,231308744,305499968,797170849,388855486,673199473,853389083,388960143,518038274,986156328,385070506,445985696,662314930,586324988,202497344,601828111,918896473,121956137,555790443,934457236,425157512,102563543,53664199,82374795,621251160,535191812,527116042,531610113,285075998,290587383,92786483,89486022,553952268,448361780,317431615,600627447,991835497,659840942,415487911,579516869,80562359,877092892,521005723,827994816,384671797,300120245,489472593,86482843,826934055,108480986,811653838,32152652,256017883,996557886,352146630,903052996,311618501,287223781,632271604,241649309,451316338,259575607,413327211,957959134,404989911,175368877,609165672,720134304,807120688,374714526,520425938,824517350,150129174,834717239,923444819,135005305,283038691,766615391,502706640,653651578,42104186,314530635,977585143,2009173,485637445,745858923,490467562,950793361,155475252,362436613,948064452,955944225,549902094,740996828,877095757,360600194,907896120,152080488,571046739,258421469,681940019,272102609,709226253,334012431,707229217,51932544,960219416,189213422,693766075,660753823,422777429,252228117,367656471,504032150,65998142,905479020,422269830,702376175,514659425,338613919,548271071,241853794,37382166,678636017,59771489,567985957,919816574,865091316,360535596,319248117,106800297,2364808,860014201,726708497,722671509,215203630,793815080,145258555,516226255,911556522,433424490,808960739,380008853,472058589,30712796,381070585,661030021,338262516,298351304,818015572,706535853,760926435,821751028,481688829,686236052,192225183,698168223,302203754,497019610,60624205,958214797,860275114,873493737,204941506,739345401,305376926,887891472,405256814,348132260,453808924,378267776,909625527,51879916,157291559,179694751,700555350,238844168,654700670,716562490,925510370,974022124,55042951,624841619,898787294,595839926,662125858,34561128,629871472,70070626,620771785,42654290,152966477,745237053,816857643,947955026,300417991,129196600,347397595,222449018,842267410,627381700,837217658,771446527,197322148,164437091,506422395,793359000,849433389,428848108,424862411,905192153,160508205,558870647,727015227,26913029,187736301,912153535,867944276,397013531,184822297,712621594,155585685,701723754,74754113,496222721,980025272,144962392,227024816,690918170,94178585,103215468,891227572,641112882,326942430,3935573,155736791,611935940,367746094,245229520,452001977,562920352,976423479,941886658,479561641,944615826,603988073,598593610,784737286,870182864,147039516,157846175,290136774,915465160,298991212,847276003,701426296,780059479,820104328,445924115,526659142,616263120,40528261,836002254,546024380,21773882,416821764,331055838,869772116,996572412,938539118,425602554,502976588,597390887,773601268,158911801,874337853,114830385,128378965,24727084,264294515,487577433,103167457,797343815,792934955,54229111,797709004,145561705,515394146,602849069,216311344,724825430,447355383,236393844,83152359,246374910,748164151,353012897,60196020,597896838,921491939,352101618,577664319,125237897,930168373,712392541,307926180,740591796,714980845,323644626,96759791,696559194,81417951,168692042,365301595,363783976,851846476,782795310,397316039,873026598,363182475,638046315,924015201,737437090,867029299,662488709,467036555,897510405,440748409,196978433,991663691,861754714,854988803,216562074,475218069,226070323,251022113,752182938,288955442,909196948,836863607,786055366,645225475,573651826,691587867,654315521,959928791,83895136,430342017,505489140,18028195,519525566,772109921,321714518,420136627,164595319,885206023,218915384,468769280,858584249,845861514,827546925,355292309,403835310,66374227,509474315,922246256,348142742,336925353,497733236,233110230,199610006,325880751,134715489,677675616,252738118,817909299,651075681,800884975,280792447,278048658,470428915,316213285,566255179,45893916,440203307,643089389,697929415,248927590,159169163,801610883,380030633,479628423,907146345,525479535,243126860,273031670,857422926,929869761,577191535,742694644,66954252,676473237,8355325,250845482,268113958,400035410,115173588,706147759,659848664,101253637,605743002,759680577,309960709,13852498,772879458,735159909,295165509,888941653,126075057,627346355,53053016,451419041,549209201,138523785,692810957,101796764,478266291,771622678,258052638,777638889,239030020,979494239,296791659,661031438,322555753,39711580,421461138,159975816,737224531,328921829,227815856,514948237,216091235,510503159,582920571,419924504,801246830,15598356,899226507,309519234,369847674,568872184,518691281,712839657,923919145,461673581,781913933,878587027,334744916,45266538,65377048,557971577,813065777,896922654,388782904,172714587,598564350,215715239,223089485,880418482,412067056,824388697,157188660,106146695,757822889,190794363,612130104,134649577,990760556,414961903,643284577,325142215,483581710,901962961,669174071,899625052,159968827,958990033,968760377,68419644,865207966,213110684,430139867,374231877,592532002,353271237,218437403,295876453,212844685,696784788,767611562,799021875,145439256,212844538,947220501,397012390,405534550,41816470,359741730,934504915,921687785,217471587,517705169,654280520,433457974,866574928,261878673,221329589,616480097,248049281,931747565,5530992,867045397,994557394,320914151,289605448,547030790,578335429,937086943,329172566,930485894,211664832,950258838,328879299,14351996,359005795,454536442,974742177,633289415,264410809,680189677,848434819,531931874,667007012,947768841,948388157,873881421,920744077,668563633,274678508,48619214,359305485,423296093,358914960,544674915,985231583,849093944,733547134,702661999,6268942,103584251,82861917,976251043,220203481,290734039,359140227,579512165,336862534,965729346,959933732,472531220,155561495,941569809,997223448,73316883,186207004,950303782,154791060,956015857,743898965,400293577,541996074,216796667,890580188,720993106,934380075,559175525,556222629,701602928,472896832,817584983,227641374,624522819,722968991,720393879,195939073,701520685,732349733,138141503,105809374,73463099,279097854,888355144,836218976,100386392,920613519,840740022,313790583,771474786,21034634,583904956,419335314,794311626,146141987,924652375,35776867,679623921,871354624,263987657,37850630,461233639,263539024,343440421,248139138,105694789,462308159,206547517,866751688,490574406,630979719,525250649,316981736,219194798,839815647,505873113,712432700,32627041,660030352,376609401,186654508,451531053,816739033,240463058,554867776,906631379,245039024,711192688,880937013,629201021,516923195,434653150,216003525,589912375,585041357,561935228,33434341,818681554,378179230,343858581,137722348,990067064,4884860,402199962,800264664,823403027,759035792,585788359,800356534,640742517,914072785,434322485,315514222,495301072,429956506,390189545,353887807,427007217,201814989,254254093,809081270,260396611,863854425,307462955,84451336,88425466,351575798,405420003,186096138,417080914,169350997,536294081,290149117,637141919,787914158,263720958,818597441,47043071,699467514,160508703,364600313,964884371,423661702,57028727,395258373,378010746,965580075,217277878,171856416,61401844,591232140,252972661,6721653,257845968,540452540,543654584,93388655,242500761,398798948,728298523,399946019,954086183,679254300,249312138,781728217,889072737,440836303,6303829,265762305,520825367,237503799,520892924,166444630,503127765,758075698,96366666,758157563,3954598,224713814,408584841,944922990,478067228,826485922,612370464,501385661,494554615,336545852,647488405,46016926,360212482,335059050,366813835,212690592,524291066,625579074,936987478,780924328,893278123,684114592,759209150,326827707,784680609,241376323,96150173,172670351,690750296,346837524,955238614,444002346,72114987,527288955,96433353,889617844,31636740,772843170,117009154,551879217,699900835,360049104,79525026,986083593,322849127,517622508,848068106,590795241,161893724,187261296,272375286,106659006,347810602,149157982,901614945,800082836,722151584,636578052,450216635,753539870,503465936,874395990,670863440,244254645,639038397,452963055,778818367,656032335,690038111,356282475,751344802,975229912,841407182,265912506,387239049,288131796,65822004,519600376,725071693,246553608,708049671,947677958,806427579,840170476,222224107,647222930,657657377,238046468,689541873,169256334,162877025,318731541,99241449,326537022,941712388,127687964,490865980,172988332,999246102,662327164,833188151,795803043,647352468,685386779,917983893,29180411,419668196,752398275,22484262,217622707,418434997,251500667,364651658,374410988,359829230,602794147,971321552,950483401,671490673,274502288,43912352,911942403,609635789,888308966,905214646,797288837,390332491,187999232,251389674,493966393,180600794,473031551,639947774,133370856,250027799,34839828,44784394,560412483,58311576,571464369,356408444,171190826,915548826,618782188,277081168,122667525,804790764,148649067,939494745,183177724,53530192,100407144,103511887,187992840,138145716,750208819,81893235,919842791,251448822,362720233,854955444,415259627,582096700,806846941,609987286,896954547,692183515,937028849,414737732,994752159,275188939,427586046,586360032,237580171,856129619,52258853,114614730,448279846,955941621,249660394,708558283,349708149,466423936,904103511,707951400,589135520,585247250,664791603,572077832,856124401,117708493,775661312,459400638,807215041,736401158,573366543,497530825,294624691,521108471,11500762,337979161,445018674,299639350,924268680,378404188,840543535,954015396,337941836,2127061,726471418,278164142,825916338,6520746,782873138,843427829,378677814,124148003,318146943,532066034,198649897,717227851,88281280,517343010,479813019,971698389,977270582,641664362,246469368,790606178,681582911,136311112,438089249,931320210,311174742,954474606,871948650,195136636,641861301,330592393,140051781,126860519,784169389,436180189,264180427,474972042,275967098,255225564,444741016,779588604,572033767,240882340,203807786,360506219,80234933,892796538,879939975,837527090,922013518,417739316,840083487,310033779,934187602,868190874,977470108,947187091,632049386,979441607,503240714,246219508,926506240,454423386,206099865,470115173,984993288,421246903,712530345,618239469,174618185,988334129,450486383,4508245,437976828,361987620,561028046,847325544,139889824,708491610,358805321,958372049,963682246,317748507,488507593,59108081,151413956,13102795,823854210,650754603,191697172,28316756,637231998,350656312,647326668,130272923,111359781,37390789,909217123,588632024,178896216,761149685,351645483,233399606,548620458,250596915,825338306,628249854,662915116,610122710,842254153,339574113,30374301,10136258,14931835,983605212,662410672,449672469,522211172,567590269,853380445,894482106,723818704,559016694,65179802,842229242,184265415,861781379,162656385,623978039,782451702,21714031,479789949,467094354,380792930,721844151,952762884,43990846,34474595,147132493,894493511,930181843,943272981,639805140,861688831,106181928,153678572,188901571,797157219,505316220,649466508,997225406,965439964,896648106,633635785,346003217,103926618,646585555,269517375,918469855,849958034,809036171,364237175,712689212,576853753,556463592,786358427,628686404,706304150,847915402,600571290,560784525,906282314,735596722,266174465,795695297,13277911,381341542,581201571,531724221,832142964,15849591,370867843,172845529,17801921,49883804,628954431,345485838,803382449,411606776,896775902,388759707,272627050,707703417,118107345,328110697,438740606,646099330,429792518,637735011,54260982,653230843,986300424,451333308,515095896,294065141,497891945,577573405,178529340,568502855,406279390,877848896,2924331,194616785,805635120,285227804,218095618,860467861,515559653,789614540,802477085,158333899,439625223,724810759,523893329,209441764,734398412,950912084,12743505,20727253,639531684,581472645,76271925,31803727,487875650,238670236,465623654,607058573,108597825,332709389,894696918,646659357,879492485,79144615,762798063,68045699,567393432,405557858,471670843,801247562,363859413,316662422,577360964,657613211,107462356,970686519,339401351,500197043,155518682,813471574,203474091,284546669,313377180,223492761,986829630,86416365,728905593,718460009,170470384,146220794,449289560,734533667,212430360,753942895,245322760,66746900,771750863,170866694,96932671,851083214,641937666,175417105,972705024,791833506,567743272,685303442,96751379,934815421,387814241,25038323,308002755,928719418,14993234,365642184,820922735,768607320,284941081,152227515,95486743,255118516,24140182,731627258,308225005,224375208,900894519,517589306,869687378,209183086,785991718,672263147,246795957,63305937,635523939,998415740,791404905,837703688,612332225,189781679,947392661,421814065,155859304,295294830,169548391,460073843,920127329,476142052,631837304,48344608,799373174,168254325,742925438,278222480,410051529,506227870,45779856,499078610,337844003,356075733,701450813,171507363,473703480,955827690,523086059,970271413,719585083,740467817,2069752,23366614,376862981,825879404,107448875,102284163,368551098,563011836,860798345,973981329,619342950,624312364,829141823,192949926,662582357,742061770,175171404,170099335,385761802,469024773,794318311,596520050,573464092,938397180,247277296,102033430,126190273,615418254,232463982,475397886,111984566,198576158,836564553,693655705,12287955,273382577,991805991,786787800,297680673,662716917,638690079,430982774,857165849,869322180,265918046,359380005,206749913,171724036,70592771,584192882,572685231,242857847,123108942,743472396,928892143,81268119,534845794,463604297,390487510,823249466,467261975,739026390,339834448,636231451,129033096,209932746,534217559,828594500,177516768,907254787,228686450,745408284,442867101,770479346,881904179,779682741,35821387,825043207,540044880,972339986,823518850,688130283,569526900,407021305,384318189,117522311,845587083,865837105,742297558,574298119,701043344,649169545,698498955,248599788,755288827,622747248,477388273,641804215,847764193,363544012,566960243,805684341,613381483,832398536,336773609,211944829,446799085,143655831,47054732,74526891,748596798,429230650,929562679,602282280,496418247,654471919,756678028,930906052,388402970,334893857,236954897,301280521,848908282,15623000,651813958,510627864,648457372,781721487,489859530,508789671,691846050,821785325,451115613,177412272,83678256,210668041,86998875,510950526,616531337,958945875,911751874,392677928,997225115,522225600,620183350,84556126,776763457,3684666,803381611,153399480,88883063,187249383,245265625,132863345,939584089,999865826,701990625,933169381,765949998,745855487,10120304,499289522,775633769,977541431,140464552,184080473,161678145,291798714,928418784,228160873,818935960,386022200,422818172,627371245,756561297,256827738,780328780,967422824,133571611,424580378,97620109,204312651,8867583,328179871,348679024,336408182,791973529,305454340,636045224,261532312,748361049,939844169,386994930,311734536,304453797,6178725,600881262,805651915,379132960,366520893,765657972,109554504,483772450,119477139,365876582,318806247,96996424,803787567,264187879,507439932,603885335,434731846,329836216,439543849,752486566,703500353,795796891,376978128,954612118,207534131,184412529,297962333,267936947,651130750,651413519,571075685,959380801,161600273,115711883,450019672,172416705,134318971,227134826,702672692,612789250,829428631,807369805,167936280,231716549,815330786,546054268,642747223,388622576,825270708,889541456,702027876,743869984,953988852,634347294,595848714,526654614,866292791,265832450,161544873,808700694,149262012,441775556,855601010,542724522,368846563,625555677,192195665,158550462,152093923,820528087,378169632,741915111,158102871,897853817,153150550,991896671,907935695,21183722,48949833,916139525,46989236,101381693,419895790,482495691,496240592,272464189,898577638,746099829,279960521,124431350,319726040,447731566,745292683,522654417,776446833,762388481,966606714,143269199,123342124,245416178,298291190,110254753,258211742,240613756,714917114,122978978,470100494,767965915,129285128,480743808,669157235,120674153,992581644,47330313,928384458,272282580,164599519,33102483,612665493,597748888,367528171,157215549,863278802,304830224,358436378,258307103,693395282,487915132,977477459,27537069,943576880,845519289,239097818,512298596,478047901,358915107,389924591,622253172,637762340,162076353,442138752,46454943,469986106,243334627,230623545,928893100,494126635,904715822,386433040,341187794,202493590,46927384,414402920,481472013,891394317,764540465,673394267,279671522,894218027,994860427,396802155,855771254,389417386,620274258,818282515,487309024,246468531,44953056,750487269,177898240,389214881,796101968,594344877,449711187,190668016,18965695,843815440,846500126,248765711,708963479,554695313,336389081,885764322,352760444,820046080,272634841,976495738,532901980,748744165,872343974,204859848,139670414,348741258,325546201,982205289,237657083,861061176,1990666,701974492,830881590,32859444,643928733,913750651,627882717,670794688,90073520,581877797,29822120,62255548,541888845,253751681,63933050,734902057,601507609,983254694,472294669,429851370,212134073,155632687,602685991,974425718,181943628,806134855,802948288,246572735,530366258,53056366,548432973,929046560,177867153,310341612,699513043,197670007,539883953,698087817,753732889,557544248,820393918,671364205,803314447,685041593,558535534,99097197,685276088,765121180,385377714,270123642,85800985,439396236,895030905,443345778,525691362,609066879,268814009,748884533,737849659,346326909,402982036,266721561,333835647,347948385,23372950,231048343,753145234,518648403,928133542,598430244,258941819,659812049,48089762,568824483,139967408,787776268,759502780,226131694,667357254,657106461,12347891,510537176,687007486,971168325,964722470,115458492,944338235,265287548,677995923,25401159,221485718,154534509,982242751,809047144,332063286,87721958,496858420,273477982,8199113,252262993,982587036,214795935,29781830,428930481,345345931,101993332,427716651,260874746,750048204,457541997,114055870,37352216,806131446,647505267,976601648,159101245,473250856,163662300,522668300,458217428,48257625,872114521,803028912,981407377,352115465,417888735,711490667,11096885,243517808,391362892,452177309,818557836,358186713,242057878,29527771,99102540,314337809,718639245,786848453,671460015,837827593,233528552,263740704,573182476,68332196,659902638,539614336,333132055,667949335,256086116,461450357,647492394,221152712,329079919,745484384,343242242,464192175,188028627,677826883,100952776,884726089,477710595,783080829,74335657,210639239,696050578,762401487,247134324,876585110,949305164,854326922,422326628,354101930,497032777,908859022,425373218,330340389,553994625,107935218,479081007,973712857,598348718,12539090,871226031,829773698,452418200,82580027,624570005,68506911,110279727,288248257,43957580,498653234,135369980,211513490,343846188,204262918,662139207,726272963,116147604,589747769,483234756,833853173,381612169,663359648,261250164,118196926,475468716,226967005,659827957,680225251,253376967,121812034,119854501,131648350,552723760,793791524,607500515,184893572,2854484,986866655,807428598,111092066,857531203,992902962,913718586,778584635,792916115,72798007,185273688,741396165,145757459,373684099,271381848,310202482,604593135,639118076,393429325,177448015,241725549,906909951,960994831,842067717,786818994,247734005,558224379,33262116,320652927,448262358,149726791,106908155,772975504,843074318,685004989,718405964,713825137,734157810,44098628,654168270,905930790,838662586,107491207,489928537,83716914,498542226,494489468,438731303,379626598,338427246,581418500,876829502,17489343,742742803,927142852,364329875,595518801,693339911,450144189,496046305,402853393,15702870,98675527,223849878,105138157,80975433,155643643,933955288,220234633,733344432,929474017,897273016,675913323,372381438,28069110,254046506,80730514,704261617,275241701,118609480,265643973,7324560,151264016,63371922,231722325,119953476,522737710,502627293,996727855,407253909,759466540,606288029,6972446,7063610,407299948,49595767,336547231,392461176,170240553,769898336,148662519,374523034,776950035,315602200,753562104,438304933,116247625,578726009,371814959,819534991,948418332,502420035,968953930,626944528,306115698,407753938,755128985,61978691,913785732,910187075,122033599,965282210,970246592,577138242,601779553,943765142,673178254,998265120,752229328,542180981,766728483,644706582,487737889,924376004,991389627,331589098,300590179,347301624,350086134,331498240,340976002,855289295,140375751,605435721,17454920,913788911,254742949,302044795,638839396,693162997,605036764,560638216,600339117,745716763,374330074,177946895,265863488,450204250,624129342,596431998,342763733,308411618,715123525,757265872,676191669,715199878,490256987,479325595,193861424,621604712,827276061,776813386,561469023,336953645,684692707,821372586,154100290,77970269,276329355,555886132,81050472,5653564,118980456,738978969,987637017,479084772,594049088,463740912,832664031,989095683,600132238,15169816,96012838,897489778,911563794,452234417,898933729,269926118,770249986,52528619,403219001,62913194,375134190,68872030,663403246,174430640,441276144,425388318,798075777,878106913,513733922,53535600,369905571,725440577,199974140,637228163,678960198,163199725,812286954,183828386,587309672,490929195,214005099,313452226,494792297,926879878,809624345,93255887,375190046,239093484,182584060,947935448,334493832,173382170,759596011,541467423,152154860,338226589,906863603,264025672,502725606,356432848,40176068,992275376,524735094,450478977,268032478,199578967,990645014,948865543,35826841,455915489,211849498,626694364,260693468,949239586,869556222,576208136,493075851,446787862,762411463,696497799,915146200,889408698,10811524,362717633,95566475,445433694,546243738,14557955,443721544,609959543,159799732,746947679,27301705,371729478,670095932,139169322,478444149,336046483,358555242,28291369,570117520,72825474,308349699,684436400,947387832,627110576,929358885,602344036,697245778,382768210,511643055,627756547,71627960,438615782,101321339,227659670,540971247,479079822,40664856,474565158,695373142,291633463,693054754,851149442,646484490,21273798,511310807,385895250,729161130,321562047,761545463,812977014,592452261,213720718,509056914,70684010,547781520,804839240,924024688,470739983,273379046,833318302,886065684,258874982,471501556,46220633,438256771,423102657,78009969,7727958,942972344,659222585,558105659,620574471,752626394,123881991,541511646,888315533,873405115,776006009,607185462,99497051,440664684,494146161,593141445,339512328,778862984,669933693,430397207,920008009,504613556,719518813,205456340,698520147,92527028,178932766,257623829,65997821,451884094,640961432,764756263,526006709,190841398,344421334,430743986,549022831,157316503,482803776,261931534,305634635,667908195,283168022,935018749,803451215,22768403,869439596,301501388,118654339,539837364,476632934,417085173,178857219,32302660,490329580,262955996,708455900,235378478,611796651,986697593,796778909,703699274,453513648,819718480,168572877,125797503,544911830,720741878,677511026,665049377,282417572,930298022,856522323,163507318,737831519,931520910,13459542,947350407,797709438,52444798,674912959,407105974,579787289,91675538,289065575,670816685,329112831,696152825,544960589,450879024,151847457,325710217,380755646,62851714,396976597,189541820,860325711,542677736,163649322,853110345,295695036,676339439,178263184,267048644,661858038,360647428,923610901,10752540,527919693,764166258,133089394,722966553,611802676,999170374,622747970,633514021,818673538,578018594,162244158,3577325,716816761,279201843,546051773,678850963,753272845,772134659,688217097,421787911,614770714,930326197,24453745,159586564,730300476,759378129,582348513,565271751,169826068,92901459,411408596,605255267,944599498,878129537,167438702,555931282,190397140,710009758,923631304,761596288,711421093,866686643,485043879,675186442,77269072,848161121,532088125,368858843,636316102,800863681,495336958,144969497,211784887,236987780,524721610,405630379,215075125,609558306,484393658,225747542,538586438,156905377,289087795,605811268,772535907,439731276,211679887,941165508,237021611,495682687,12303425,471511842,492896080,849668471,131685352,223283513,566408049,140367675,694235398,814339733,973525790,361200616,217530345,678785791,681136033,643618034,962336007,318905506,801539524,919573569,129083395,227098650,507542889,542014429,609732744,759216182,801280581,376647568,945789772,918759002,76606021,897891748,935030508,488846257,245246592,731074244,281533155,955340544,510336208,141985059,566642816,124037275,529063591,262434890,464458717,671528056,860904541,66537683,254055991,542357743,666687112,934111982,510773779,867633093,695250338,97325209,930664208,245313159,189928619,315895814,143549013,576879144,825860238,707239141,360184975,773559022,195691027,445850276,850326667,385378937,284930508,435349110,455025408,103337413,31612390,558877659,255981859,669469038,448585313,304172529,266487144,530277543,532245939,488336341,442881008,927691749,569735529,469566994,315821014,863155165,244976026,154032618,253683339,51099020,605346696,605832502,256491468,927661248,55817004,779020431,855219231,901623684,394109853,521815744,19159058,614620679,831439693,225850098,392576220,82099629,79559961,764385908,583667591,173586657,412487570,335467705,818666166,475990450,331767284,17789029,490831844,82542492,85777254,926737705,117203433,699946902,695190164,464403644,138216544,74513375,457298473,987131108,455655585,457920209,812268433,188920842,838762000,625505235,321770768,567309438,350984451,20563427,99636094,128691047,443073406,889280260,881587097,257679296,263903713,850678125,170875223,318091554,184779383,991110141,868362909,422285119,39646700,321076484,346155699,818025990,258836677,39154366,679552354,967254299,732645938,375399563,501819561,735907906,473780175,892201770,880387579,642642657,853233154,117942074,480911725,582196250,742200298,856956648,855991728,731489686,74983986,568778507,912608832,391500569,684476829,164645290,321370526,624126936,525241420,23741304,857475689,279693027,210353802,587810295,569460072,906666333,30799762,147341199,100276269,508379046,577281995,165098998,33147808,112623793,547282428,357858625,910019600,176269205,713229300,370276609,669494365,234546365,542353844,386157356,900765365,554502704,842641849,599109850,551297534,111925140,922076313,643975492,325006050,981515532,331230689,6844341,780827093,322439176,18738498,809749591,202662246,780069021,718964748,424404822,310453862,454109099,918977945,670498019,495981940,681849480,733627699,370720166,553575891,263326229,748948943,743987980,108259539,992363299,557539646,181717025,120732229,680608416,296342658,255382346,825948957,329631996,46264116,680565510,170377419,683176350,72633600,393352943,343161030,415503372,596352935,450591166,497547748,517570991,772849164,431135448,524548770,209737027,836725128,184116640,365782862,253220174,334670813,569884950,764097080,490425442,932129792,667015330,147654932,567229412,324292023,151049933,644242227,598726450,745824816,477034077,315149266,248903423,641705226,775249252,931242106,173225890,161269309,98524052,576753545,569616647,419304487,908288583,197340072,827776073,606128143,737048070,180987248,33853058,103858568,958048409,215360228,160019817,643769849,984985551,347514084,667836615,240565615,604806019,510905070,898265093,4502240,490137471,988816120,839835211,536449393,21233557,920939472,23184976,856158727,866948043,342946385,439740361,141361164,130937320,524035694,304753086,96900388,616870763,576424210,547943656,500736615,352426057,301696472,437638225,961379509,915224688,225319714,503434348,802297103,42696270,971865164,916071755,123389435,173091468,567764315,404258008,458171475,66203791,253416745,336235249,785489184,740135392,432808162,374156952,89106961,568753285,498231112,206310847,828438368,103846544,363341658,508834111,818812766,304104704,395574662,434129290,332061072,662617452,103305080,723693789,848932075,693450049,797843313,807697297,602829270,623808228,640563728,788815320,669400888,915063544,715670782,56141241,894285690,319074098,271292616,963911244,607140817,411140905,388312232,253742546,717417403,435103109,320053905,640371247,390625580,647877023,595862244,513261538,531009192,592861202,199818842,168239024,642325225,162175636,538578626,820398386,290374951,155318536,821272190,482460460,394508361,545003896,652960888,992830968,317561756,757472688,275842274,171464197,698876041,930113706,238202261,518659054,143184081,970430095,501089745,933506238,870253133,298980283,592377645,526963826,272886897,472123752,238492899,579584449,258239929,671568755,367534384,183458434,628325724,305561268,400772999,385175929,132433791,995335291,963382516,277757992,584903125,472693465,32230773,295767276,497948628,676443769,977063332,934825757,707606690,554931703,340133409,523345642,688587476,974317758,94951747,227624819,846988846,869892404,81854310,299766060,288712808,559163217,601765581,561599047,313314691,645809249,852288617,205235659,863521467,759261034,947944866,357911984,809896090,164968402,599214699,530029951,797017709,162778789,489977988,728928792,615132698,426841353,138894873,418926791,135195619,589478889,461471053,514308652,475976233,735981207,200363841,330623511,181863530,849128068,337259831,600126142,466944097,358939142,901271152,486829366,558635351,198317575,287302079,346363337,453897536,780931683,876442347,314065898,238553139,738250727,460709087,157840956,676414496,216875339,156956349,11313707,200242024,154060653,798700498,855744258,787246389,738374157,913262487,728506838,387586465,29046367,148711774,615872475,914530118,563811591,822896854,890376517,412835844,422195418,794267787,842839114,861337147,99595947,387511850,157203643,643174871,381792443,655858716,785310481,318707024,576560379,147482697,155944786,970489569,288929726,490630584,809369076,226926962,225523162,793786896,334654366,129152114,112711910,352168103,887115843,50631782,367195091,700968547,955517124,92684274,123523975,997837803,397567699,660525871,316673487,780806266,112399678,297360412,633870398,47660496,390430546,438617925,882540405,317970039,971886910,841017622,265320952,581653915,452313484,129642177,100002429,523312284,328381536,336271143,510886921,866616662,984871245,923512786,885537772,763348591,867212886,538431436,113874517,854631118,460829649,442678244,153150519,747071926,935205819,341436718,456234949,909466174,872303284,43726870,912268043,613110235,123075225,472879467,895937296,119017094,449065285,259472186,714533714,100248208,240903117,575803192,317639016,175280783,895626819,513479961,333450690,197301920,2228621,868137090,108885858,174540006,196898123,257060956,942347453,703578190,506722157,657245500,474387284,276995972,66201948,334573633,755921658,243164994,842974706,813809415,219430266,945366199,971698216,411715654,329559800,259768238,237029320,477157813,25194490,120236469,832123775,127143532,194955827,84840239,304860515,837180878,93596227,351070947,695150249,312876454,607831854,969155168,123565210,621783386,699376881,484853001,240568332,687817074,849314005,733184257,798776881,377392123,455813474,369253868,216580502,561139124,593854547,679721698,214264491,527279585,954189219,752961399,293650797,455841569,953278957,415205766,783229193,938338968,636924258,437525933,225017571,878081458,586535029,688852235,213802432,213482250,285298212,410959606,408323715,556039824,350608404,128034967,185474688,688189305,608167180,797229111,486776723,562145697,433824714,962413825,129484785,188312433,215400708,930164641,222192034,456904827,635476623,404338957,691276754,720486148,528563229,260932365,949783580,674811663,308744108,386433744,737166617,301878971,354740907,523934101,979923416,916222272,16851404,396906847,234837655,817883391,68714469,519062681,216748505,513027142,707755530,978233602,915333723,709566878,194221633,695001542,568223828,986989023,843295175,373222125,769178203,838407610,41668535,425374530,597544123,52751004,78170949,379705509,399784599,301048848,583738682,337641734,969372749,95952896,542681435,228059492,503649356,401728903,996742477,908299984,320017237,566804028,347633341,987222633,66245116,224782973,646992831,352774509,558959624,435647590,184010940,765792830,893426527,500744969,807027567,893163341,256852052,443972306,770198145,177958839,670116057,833143227,987560419,784146877,175252922,728837564,328936357,836349560,461124076,363933514,357534326,790093092,365335783,342728229,739149244,265609018,886431761,730281643,932342725,529309753,856615686,665438554,7243599,50651731,547268815,319693195,524562370,321316640,63665606,864635915,512087009,950372783,529607970,741597619,603457868,296256743,831665156,646491211,740825971,878780985,977791858,939846655,357589231,714734495,704159056,940201863,234809631,474305334,698604146,124526426,102042684,49034607,636136779,18876747,797448305,878281014,216119812,47459009,906146114,247546611,637004581,229129546,220133754,137151287,408024170,326822735,735815369,747842378,760322537,174345129,643493194,467866020,424883513,266387367,508558812,612986535,525535086,237847733,319656937,233617242,782807129,315664640,748335654,385455348,87693270,843176612,171320384,30089191,175510376,285495527,950924365,161770426,225886865,962616833,939473019,168990531,810261275,857578227,94208694,236859514,441002315,60193769,809884687,362571446,395016831,670028457,615200475,386426235,130634407,175911201,688998647,25905017,815571964,354301695,605805071,807259418,490444932,889164303,933044406,77514069,492777626,442469853,419097795,633347785,820644728,598093849,863033047,361469802,530741868,941952967,225912968,282697933,72266068,390119284,10868604,862583555,544155175,476313614,409542230,2992814,763615130,52449876,309058552,811971414,34782605,382262833,269001914,477586416,97550787,750606465,326504390,890017793,105605190,519524559,784522756,947085162,523967253,787913999,76894016,531645497,535655401,921403956,313454426,787415667,882373694,267488518,762190261,473563000,363725944,342998945,943493316,729213418,364492094,95086642,338812919,969853754,599639865,929438784,930621729,112770551,251290767,668196114,640419874,942974510,226552547,588136140,56552358,925972613,738700904,677836407,350376697,103898144,841924489,42469067,829943027,582885382,800129232,241349741,680433076,173954212,819434394,245263043,100652260,114254709,696250229,560802490,310784818,521054088,894791373,959268657,36751932,154855792,270221489,217311161,967551161,597885433,514021611,636662741,959201969,694207018,995218808,300432810,382082492,301530267,906303123,295061146,616744372,676986905,63753256,509850915,928670887,112654913,652073668,416219022,294668362,302861349,407161177,52396443,564972831,696759046,15223419,99927421,36973457,516434427,421944153,188131424,621113154,228041321,725034112,837733097,979000051,93097286,504212472,742378582,736741093,141636342,436715890,612124052,488666929,966341838,214315502,941174661,334478442,179987518,426325413,568829059,961777983,588058440,320542159,292347280,975095288,499044996,608189078,586594587,559346148,5731403,941470963,946055194,756616372,438700050,17184038,677788671,871411428,66396626,342124429,31990014,123904644,362376815,379031096,8767161,752447168,533879117,882661818,323935119,32012798,942324078,428390257,627347429,550748669,578144028,231435909,402288574,974608599,84188141,918621563,636819516,56185441,973583376,319936521,300705403,160117962,59415935,282912911,840934383,653454235,601883285,268496838,52864695,108366511,84566990,88690014,954132083,990973895,897634130,418060695,167708798,218728088,984374814,866387402,509067826,818127547,996950282,994000174,185381344,21281325,872489975,633797296,71792607,334237967,546940771,232793716,347205681,316913572,596551311,751184565,833342683,108506411,305501999,619993693,399364192,156514554,324362728,62478908,249604173,901453159,498002605,971303060,655088171,688017363,736817087,996765106,873440355,667912360,215404372,250601719,958602911,474217550,173924249,925347293,615013281,329216741,753005720,619070915,342540416,383517200,873913216,985936160,426971870,669409639,976995377,441173538,421787266,361807755,75400968,342671952,128515655,798266093,376901762,751371618,154881461,855861069,132245208,422745462,880413866,12364456,787397081,983275944,286619822,654514180,666903287,324138909,249829608,142070048,128007800,493738658,801682548,546184958,657715430,439670776,325889314,994741213,163926801,703849408,887882108,206689757,442614363,706645215,537432196,264349864,275431348,460436667,617908893,223373044,781088776,208553472,68231213,923511713,702166959,811304466,34938026,84499531,861437168,558945740,126844704,865115702,353753759,350727178,131520648,920561297,409078321,254059655,999854117,87396789,525783387,465945317,423194219,451246202,877322329,52639193,97263454,72651617,879447810,152701134,805763575,828440854,704418933,729120261,702625592,110328105,254618198,404245611,871192383,837727335,432783581,576316743,830945422,559161899,459519658,24916549,435067422,112194314,841025081,425088879,95302504,680396343,219630445,380801074,769390313,832970972,386546384,214077417,18565446,516363522,939636027,216890220,593885121,824279398,674266680,328743961,688977243,72856078,989799082,667044516,290280422,7717661,830597892,124250921,467266341,638069026,520160714,758484089,783458471,197376350,552972590,730576707,68782034,107051768,955370753,985122708,937298472,224521732,73300943,958747726,152980954,729289841,255776322,596980933,216660993,34225016,671941603,195315059,943670421,378686061,923988712,696529803,553892190,240711214,20220989,606450710,447861073,359876033,629816773,444203266,399566120,934344458,980242780,309037490,483965788,521946871,830627512,610320880,676543274,365696077,259917015,102395690,117209380,424348974,311645161,766197069,69875115,782471529,476017207,268232166,776057590,912879377,686953994,168285852,755663040,806840736,936358279,293307754,168979954,556319706,992778976,13677816,688296907,181050828,83246379,302667528,916625570,298180599,737928401,197826133,703045469,545862990,153100628,943383283,818000401,361350649,474571068,374747040,653303948,166552723,471808481,641642838,951714078,913599224,418567960,656867084,358719478,909129560,166418948,714631745,894291564,460642927,1131903,993719234,178362222,550669137,626325959,418152942,339948663,458258467,531391758,851728191,113992846,842529488,338484857,819097486,477329630,344861682,748703273,659971260,259936344,108315732,576982478,662137191,153533040,231476439,827308915,967273483,385083134,64996081,314307215,952436706,848233387,857650386,356965390,90629965,401327186,505704520,49218364,134330888,250453528,338179661,208090958,706468938,870175204,225230498,347582749,928285181,71027447,32021966,795324344,143683784,798811806,467245335,763295986,784974009,807871391,417456922,151373429,754344639,110437304,504002063,422913431,810353500,104586796,788903074,6264127,517294548,161340703,555176479,88871628,285356894,936162919,812818460,616233411,454068887,212792252,438062780,554571731,206041599,169378340,847609561,434408101,582842169,95227699,21887519,768766178,685580760,498529389,992495976,68609833,143393271,422592128,67717124,404280756,558448418,178978161,292160932,514777167,150018352,743338117,600626513,765919563,578090958,15729008,523701960,616590686,246793861,918957234,177604071,917773814,234841319,97053429,388328242,567991723,791318059,67250552,630842452,47188100,188687291,901483463,359225556,269624566,906912481,933121367,760543202,491294860,544464789,650729409,670832135,967605049,744908732,298903031,316941798,845139045,61892430,122904431,222372247,365985182,217007999,468725529,160049744,290706810,119018949,554314503,922487430,105738410,488400444,970035978,251892801,617011236,522850575,506709473,37845001,918454975,81480113,347424100,770433209,76881190,348996743,890915827,892182986,663062210,147675226,371387500,946268436,728853575,258082559,520710192,744020281,36824528,570837389,371562994,324878761,952642409,939739442,281655828,847914344,425208922,189625676,32940326,686001551,938605228,736841126,46420030,74931110,53314107,706471303,524975938,538715573,358981248,29924941,986190594,73529920,99391531,973254474,873408525,691101509,749646609,523259128,478200486,849495687,344635829,274256100,768280700,828308854,740568608,594363975,105437434,613484040,433681261,809626606,286477338,26724424,126369276,792535191,921166035,354171636,198897402,397622046,360015169,881461075,385671562,756751616,800449645,170719679,566749041,596375531,499573718,392248923,905070317,991891155,955960222,406236960,489962986,85319098,314689834,235978136,611619260,284306281,302804095,616944994,71270234,245814301,454384123,786395247,731137755,441025966,266154408,190063471,696416573,286673801,241918734,299635330,127328011,29307505,11607719,730860392,113012120,753491953,940186490,85321466,464490251,648959972,832935360,106617041,286826685,633262393,552053376,485406604,493483228,441703901,10656075,508852393,571682993,708075735,422811818,505253536,223178795,591782216,296751479,48337636,734388579,11916891,428901958,262922787,469548109,122443014,910056264,212055121,274630382,304641652,545180218,144608445,758295006,57100994,961354972,395514089,676267241,477714934,291583496,10208289,454450158,522668209,467428653,641291092,752541270,302305619,943675403,671745822,583887293,668445736,710344533,948963939,517121123,716889309,366390784,126587520,255073094,592580647,972921338,176854734,956241407,724113346,900233280,711172659,925540469,279715950,242520545,12671470,228391235,137009919,798338875,769142599,612931261,464393033,520368278,734256477,138552023,108048882,695671614,61164302,665017772,398445082,102207464,776780236,286202798,56797940,630386329,953033876,538185690,825571498,743016321,721823233,990328224,423421698,229160835,734032658,127498892,296636080,211455428,781993666,229610477,780002077,891340384,365465677,42792865,909672196,687826186,580302175,16155676,125800087,497355128,840416608,933782494,733716457,719683612,278017911,131227206,590306797,73801334,298016608,879096323,23786125,204073476,580285903,99744036,970058795,540779660,834745676,433081546,82307845,241157618,296314013,194543826,211508550,284622448,606108091,879999167,524813372,163545791,169929041,595667447,89242064,448607331,484621882,189003578,367244179,163092537,522920370,461333098,79473822,84282433,214708678,27205131,102993076,555954864,655080947,303292591,451104139,895789120,939295850,934028842,237325327,705886886,435062107,931170306,512687855,89906931,438302079,979873974,601354927,336740686,342655915,967013971,467115060,93778040,822973077,461179914,977873965,258276999,273653646,48554739,859679153,77134577,162310007,805126419,612396704,523010188,612936097,910574289,226794094,522975985,898193256,91705772,770964977,937970379,345465723,994163343,138513905,247757027,606761986,423468924,813204057,32821928,461227353,68504236,773595365,587738831,205496724,630708006,707584029,158820573,339433685,112389554,938630742,110710806,722478333,629250242,375879005,10057617,968632866,316064194,366545411,428974367,209025600,25114112,787556867,172140121,993988286,410071432,890663092,328555670,770679094,598233062,14404726,90184605,739389714,520581389,161412215,952611912,202897962,839587433,719864989,73978842,770251251,748488675,632414254,781825187,506950018,281299897,577108860,890429487,659158835,610004641,544817935,735586404,27534628,485443276,418372359,383047457,693336868,562584798,931699494,990509967,315381042,937768479,799010468,75167129,603107470,359148209,667219355,222697164,724951926,642247174,904674428,437894423,960989157,511025932,943302664,159260843,108161777,176103030,13408745,802255231,132298963,976894229,377262615,676388098,397187063,778131151,504867444,463959937,424057824,961953996,834607407,710510698,284480531,205672582,535742469,848256255,874575587,227887050,770013544,692179627,463930579,636449128,907135509,168549385,638143209,919626919,293018545,882790308,566093440,177683334,371438158,516771971,890888652,224133287,615787472,738250074,983468165,37708259,40315186,912405054,317905728,241372715,962888616,26732171,350036249,151563851,223688570,450620625,170509644,414456704,158432970,528646219,823823742,534903455,421631055,566500109,942949946,500224217,352244550,400375650,34479420,290796425,745494388,181626775,931865969,873149384,29872685,271494671,755153409,998484646,872471387,56406239,340161562,122155445,736538362,59811891,910491675,979083900,321185585,107820424,910730629,733488801,540436150,67846212,887740527,141262980,881945504,909316486,845080883,68930310,194045181,933855942,980829706,515453960,568185195,66146404,242823417,629300026,656036738,939600923,276862455,699639795,632429362,430826655,561849762,986785842,147617108,447076879,10789270,4824681,80869939,454891631,556465437,408339180,910690193,232561640,781112297,899602443,747802255,496130220,606042872,367832681,151997116,710268118,964640764,175533467,51177178,284285961,863040945,275357457,160999289,993665290,217950003,650559667,595632524,508258722,280710469,969846936,57673449,255584834,666663292,220644302,304774080,200503818,663244405,341194560,125750563,371816053,72521478,303580805,836574568,88752206,602752647,241979419,484169406,191061481,488481476,285531326,938314837,434378397,691836884,696104021,381743617,402436422,425794153,341014429,661381494,481868550,548420766,600111086,55631095,804692910,414697173,826678450,277685049,620870466,536036550,136028587,80782104,822800595,72433779,551710508,442772247,163219091,248670496,891282839,396216050,453429178,126348550,165621103,989354517,69789381,758448169,233467005,442498504,378697789,25279072,619550774,375113635,12026848,689287467,192706452,999977627,149997443,957926481,567989883,221701236,214122521,983866150,65855457,924203905,111533850,545217913,838096970,262491361,855995700,725995086,19484554,613728848,122106699,262478740,871858494,686221925,901912843,866027667,87896470,364656613,38065227,262732112,358459019,633887,890873179,640115093,17219152,276728278,720666372,744931966,346076370,93369283,39883315,152382128,442106101,355819395,994599704,832567484,557261767,38706260,176601392,487897721,794095493,975396643,500340472,820972032,534406931,619467874,865148493,561461783,248545414,91776816,221330355,986589692,486155400,266509753,648523025,126502687,872084046,224476049,38053970,502798981,83145634,479901854,906792995,521637269,4673322,268493219,350038104,409821542,532089378,907211078,573672384,29809897,970337515,613528871,269233978,48664223,665204608,612832206,67330565,910136437,367977318,749364391,243532913,153247950,647201308,326415149,292521611,670983039,127336969,258050276,21900732,706077053,552407388,816167468,633813920,928283022,484774475,810869084,847933156,296185670,486472030,960111738,153586391,634040742,993154997,639754597,711296330,887268227,493042639,735392334,77349817,288770750,182164670,894022343,290390865,881855316,159277698,669779364,748423768,832230581,700034982,981052631,251526459,202294526,334578174,319874942,639088655,977850368,180129929,484391843,155157584,225629680,466632103,930284466,472170875,681571280,754628944,83110937,327721452,969805643,910245413,666602906,365373830,366602689,980243243,976783936,428204382,91010230,833928874,474601273,402473889,233314913,396936652,518675180,184612564,488841641,795617913,989829165,44586520,803424627,312932089,119386,231203644,477967336,139196349,570845717,869275290,551764589,346476959,590582611,661337308,31854088,603318918,4596872,186039425,717331243,501936014,495152402,242033147,192312301,743251017,557452854,29952705,587999403,351771157,207819194,890132627,25450208,309844411,146908253,616858871,126296233,101663009,543430086,929910759,491598452,778163514,510782922,123673899,381253386,269915206,887820115,539997829,209087858,514719460,332508586,386547172,314547759,433315108,4864734,758748644,801426453,778588416,605246434,477330464,358721156,688683125,439908294,897320555,465959185,651797122,860121641,78361327,174257694,824571307,396842383,626466674,73400914,257812489,173435139,136812336,751299382,194241302,953467697,678712307,144456494,923228214,323078336,882792900,936059831,614341268,211716871,566929053,957196463,543685094,676952890,636468986,294313761,379029917,776818312,209764914,484737244,829011154,31205287,729092184,475555654,216949825,558567501,467511831,206231895,458360231,466136341,292546716,31515404,168688796,215171356,547471820,657223924,233419702,443244988,186284579,81159181,676353080,92936811,305238642,732903388,40015458,614182675,6159447,690957679,615442997,767946488,83746413,520822217,419487876,258935237,438687936,714742823,223144461,581946157,897441622,225144098,319443691,44167091,169573859,311458806,519089995,774280045,144068340,23740115,938636758,399421008,38445332,731806781,395733038,208026812,448267685,162406708,134969989,843720109,29532984,597492968,948075888,921003375,196988073,511506089,612153326,214172396,93917794,877327255,610017355,126777925,513369617,301185104,671529851,524196280,965782482,973136661,905827669,818652675,205494229,899768966,425102199,36693151,988428564,89365207,157089959,140173300,601590297,178818590,547407388,292925924,554074362,46155026,455021335,392490359,152061198,86257664,862071140,963590727,113125072,921902436,741019403,5323419,955677071,689944866,555695968,865514313,628928471,529593140,62892141,148547415,280366673,126085895,836030796,860755023,300524814,317475516,448907811,259423278,114197213,336898500,631407549,683247638,212323483,904149467,162516003,180192090,354025,666313499,372342201,137272641,57041397,681775401,871820042,866536903,323132556,940031833,614118828,205498225,304343167,111297673,262693257,784834141,707061449,999416387,629973929,6250189,76082915,605117182,778530517,500970923,724205711,856436647,168734300,190709709,400363682,595893387,861089424,244039671,646641177,529966107,948946408,997322488,66940588,621707388,155233919,589085122,537455707,82147416,835163129,995930066,766660409,390269951,217996006,354419630,704572169,404689163,825718290,277995443,424965604,157087061,204543636,451733583,800895458,580240424,202462721,507562982,666853298,170585216,598987311,922116521,757319426,269739567,209980119,493989556,322244296,303607747,987123867,909273179,839465120,912254417,617234368,264742595,899595764,964104497,80789525,694799642,679616746,712259385,357132930,237713120,386699501,710881750,136136058,607022366,537719731,866876820,560666028,738779965,743941506,317959131,510375634,979764676,928177465,237757594,616104159,627824305,567851216,650402876,544147724,988419040,781814450,250836789,394567040,77220220,728287115,121409522,240878986,854398157,631472276,66401723,482115060,145890281,34306702,943537345,338350349,116731094,983563632,560191455,517299965,507468093,51057673,451144338,448430043,520929002,555882778,36416951,854858365,440582409,237953873,405681628,802360479,341089089,285569234,686090092,386870582,964232701,394809566,566273829,967486007,448264711,602917484,784131774,459743316,402205624,745463397,369904569,633502664,171402227,340589754,411484199,458330563,660584393,656501698,913012652,307855960,539262463,581624815,178078063,659893548,429776660,23780623,253337566,77858707,775965307,2320770,590404410,303693662,219831491,959534321,514395019,878785278,304266163,637232888,74715894,260327573,997522513,257579672,346962096,789667411,671608637,236509713,160069384,523120990,466382513,630272297,142297577,49863156,904250233,525994068,351219756,564255381,390689488,324638357,131087829,642278644,498856365,239100544,58989047,599618763,440090351,888223692,273898811,921084223,471981712,588860976,18444038,540353745,282058681,351368850,609696616,349496864,63151621,331264439,925549127,259711613,140468084,301945960,252116024,387355800,3107461,686959494,78113311,144914878,328456880,515429522,620311193,192643419,968317267,830290847,660550171,884195776,812757045,167580259,522733499,754957981,145271991,755219059,125370384,653951751,522472190,965947273,676525138,809886516,46258552,400254795,839244786,619047422,156064070,300129611,918174918,916366935,180060999,545179083,769177638,166444942,654846205,290431616,821443037,249072934,837123521,248804503,118731879,593317403,316703783,48320718,114265399,748689740,790430859,877591822,816176423,808719935,194824801,201940479,487703958,666799399,889899865,164119111,810633087,266204944,20966765,788489319,585705236,670063464,324865640,954009419,953559364,819870033,770057854,100644175,89378243,245006006,928112338,71858475,640588196,941012197,106564863,578222853,176415844,346507096,866235739,45403740,935271975,243773074,669765997,763793386,587477087,412655090,923269234,55294042,378130526,306754177,963016580,762643151,782609134,284638985,935174537,403553708,83647823,884219238,789896355,936663835,513338252,990982418,438514037,680939267,681902450,549205369,508001677,824541473,262797078,772638938,483786077,356530344,260100308,213412683,338297710,546324100,522505598,673912342,26938943,41100916,931110243,806042409,852847974,950652011,791667212,788116717,411241513,808352477,996048388,194666109,613009241,39657114,930457549,893996,621501752,19203586,115384401,189108788,737544281,303018332,65870787,605206549,689645251,403140375,225002445,712314242,712301286,24858632,281700833,263249694,520050994,132195242,558050879,147048529,570069192,353580204,144020779,743959592,112900980,739270239,996658320,669908663,212349068,417746847,249823991,148405379,892000265,703727171,258574051,950800668,287442563,395299138,648008640,492518017,569353236,800879566,62460259,472898985,556749391,193199760,737498111,298461043,719888343,415341106,17986734,909254846,708417082,988687576,820257307,538841108,564967786,710263430,951622748,844056199,216274741,383248609,297466117,864089091,472763577,153752941,123071051,132194598,155024312,176480875,470362448,517109752,495375948,429117225,681637933,898355790,734685423,964896874,153702873,30432070,496590967,228066594,949811557,607960001,233514349,393464845,583410494,641911041,942820916,423510082,77560820,702784133,463488808,921382737,85406705,784154920,177487864,151402431,394606613,277054266,946571394,426246682,101450002,341328267,588895406,149445226,463431304,674140848,288321149,880832678,551018773,127386828,678518120,68576068,957030104,740357851,563514080,294064255,249464811,268460253,904913664,14097622,980402261,930895082,164567940,74171038,527489474,396402546,19106147,39499471,422768441,273391686,881417508,571855019,537248084,997280533,978215170,225622554,443502550,596683106,125926713,118106622,809880098,4612242,979633489,532615862,142716618,851751910,802907550,600544229,905519063,988128185,917505479,921607032,133655417,671242612,388824851,298818293,72169821,473026830,48331060,358046809,210871618,714686456,550391473,287197320,693231378,657369486,489130323,725776682,584144052,917008144,820568078,313659325,190321020,951512903,862889171,806597606,826676535,385765278,12482682,483239746,411168652,412493547,997946084,809691770,522870677,714231972,433802127,910099422,501131908,94262751,493851808,836570412,698439233,660595733,416507562,289060551,545933920,567801939,831795564,976263140,371392020,117726174,960572269,226983608,274892095,392356467,930838133,452038547,877681103,855470471,805500536,823014828,449879108,663694072,996360913,842481020,855627273,242284315,434374231,187825321,505591435,761578074,329276995,407049491,824852774,66893402,593700522,672411764,340588184,910458812,597975690,472025555,12412317,896268786,582832293,433267272,536097062,724242955,621686671,597722318,358238636,563417819,975211236,829145536,942088563,128878821,402517460,279477430,763134502,171110920,308015716,482777725,410969208,610941185,602466655,316901925,441172703,581872281,478667231,295596655,349788900,580201147,753172582,769771818,964452668,914130003,711190240,611821312,211134905,363571151,503863630,68381410,529718544,424705781,802739754,825895617,781735861,112566461,398115326,451328238,103229780,934222473,775347068,839712802,448682112,434906437,186802806,994731831,902918555,967675455,713533414,381941916,687009851,599787468,313773471,612254506,412926932,301237415,472500875,313951324,841337415,26486441,469105577,954409791,213363180,543488253,718798074,859302184,103083860,524774735,40070858,822870868,213854783,779992367,906998007,623617380,734467429,437433539,326541222,603562718,712372125,434325632,417246666,322795601,885918821,667914366,402946168,344771840,422179328,862169282,28660293,870229618,703588723,678946376,696699567,600649141,412786653,11425960,45545476,991513282,711668538,139268840,37876672,986215483,365829570,51593086,698190533,443061182,519657313,248407578,932189148,109632684,318030892,845409240,563532309,489196981,420287102,498632657,858832638,118506861,381016589,372690595,226088329,553731449,9529199,185443396,406379021,961914626,851888573,85089839,650448736,27372280,968941232,501864029,742815368,943501076,329475371,427130088,927468427,183230894,66093527,727243661,321997331,567859299,56311482,743816605,299166109,920691017,242743032,273943528,467016517,685853198,403030671,427686489,559532775,66524433,555293932,284874174,464865143,853193676,695320863,612476932,233626044,890076037,999071806,743479075,352996739,464717903,783583987,692410249,852689421,962682785,713336581,284946572,907553718,824275854,560562290,180333173,703732684,70296818,949195115,359503710,24722268,833121134,532731061,590392485,273162932,911483050,275745743,316478874,63620795,169021085,486422086,286771883,852903852,70486895,701943724,162074600,277939662,388045901,684253848,465847852,763739365,90849615,996771683,419474247,482848123,900221701,652320932,431149606,245219995,888502266,271582763,297413560,75224105,305279830,351032090,583074191,580947135,127421767,948942644,599828806,652258196,530908866,252851250,365818678,384847307,764069034,475179819,678177045,217338223,959868934,620267879,947766544,95104084,155714636,20543660,394706263,408919502,478310615,264947611,240590173,607943056,442564585,704889161,719745830,907473613,888667539,710998410,635346293,148929041,911766952,802847047,439918106,183255730,753894693,874010554,216541778,255991327,611900543,367134049,739083266,640536823,173268538,52405334,498955267,229972760,166699528,396622396,382116578,405684951,758231337,495381436,788051073,906864286,914208094,469567339,471351937,534017129,565150966,716937527,918847947,806356614,368283737,156239041,252660501,438561936,719744959,473792036,608484511,714831421,654242730,235950043,171782624,641984384,455189544,98359914,681175519,424442714,748625803,579607781,148342681,961583228,506577789,797782348,493953807,434081007,133194268,854111030,836257012,335014671,590321082,370158151,191206153,3953914,991658317,254724950,923993604,220540319,946393546,880964367,194276437,324157572,822644955,827486354,677897103,462204278,933296014,107015332,890488775,729851169,123937918,464851733,13994484,819422494,405102581,315043484,919766525,817528292,80199104,135412590,630397981,274536907,385354698,560475452,18377261,668064822,472007328,42139093,396527445,805718010,84154333,487170687,79199503,755674227,796040073,727260395,392219804,377089536,959314423,754916007,908267138,361511961,785933585,419347128,392402317,786846185,397674032,972591453,868429514,941476521,683413223,403926923,839178612,814706938,332291343,984365546,152730536,101142795,711741623,530377482,388000846,931360976,561674883,184485241,344555975,138460015,896820106,462352927,15874361,740908057,710226898,375313501,123369372,613647085,917396081,694983208,44864208,701075230,378925499,769002224,530926846,136288820,188520162,510694738,912426594,847743737,892715033,611607974,427455401,748621486,676551493,527478485,493911107,703953600,958950144,124372723,740144292,94014506,752332153,947470124,960045975,591924097,261317302,790310575,563749386,446488123,388710562,222418461,900645818,817034175,194329230,488620974,883672511,479401262,701210143,45751067,3805566,535615084,548836679,650565274,164802478,956869684,642511199,175423319,772194251,666668498,904087474,607544865,75045557,393345193,340670798,990359783,104892874,211988176,579117624,780029723,742112463,158236038,799001451,954608499,485474261,991611447,772731223,255903790,154826975,150778580,710966609,672914057,328395257,886807957,871294985,756201272,509267749,30332893,240024404,536843505,25024891,758837832,382167092,843979712,884957879,737024745,401921933,765316691,370706528,921749158,881889842,728268126,16548116,981797787,142539395,300780032,638268843,588665174,450179311,1075770,903615906,668374752,589898983,732534875,651633142,591889753,769383262,921811080,883838523,447887880,982758977,720907657,541338249,389538558,335931096,546295425,24582591,744918682,242025977,942473611,319887362,31318660,339361037,639157725,959061880,390297133,425869076,453910441,201556281,624737921,151226610,245580766,872069047,805246485,103850332,986571804,3454750,391251111,991111381,661903705,537045934,905190132,348304272,355612930,586316233,9110915,348633945,355021838,180016528,406075018,864271063,765992596,415184042,170296136,847736859,34776012,246430798,397104964,907259249,409143323,668018226,880770652,970695239,566181134,890664118,372456332,614074750,172628534,272403368,521575399,638438062,669578921,167238929,662464190,866579281,132916423,918806525,989959353,522712811,332369941,877153510,869810387,150861275,496818420,209934665,466451619,144156587,232459835,46617662,981308487,107527919,747653430,786701608,140962692,379951510,39477464,161700808,536630620,601198352,278402629,853598122,85868276,556601400,878735762,61559669,385946830,179433219,69258603,963008605,500058174,230508856,371011192,259634091,294223044,854948571,383687398,963224065,187805525,776541667,898195195,138159676,40147460,610259603,566404422,853354960,395410551,183221515,298056673,270080795,272689272,227010767,263049393,872718022,294332502,842970170,562596092,582180260,660354432,830329397,968902361,998514324,259022180,960539620,785357852,714504572,174068212,786514298,712656079,54241986,378117914,907678856,332368403,892171934,821498006,947887812,495098768,995539654,702781606,645484459,459541323,438812809,615397955,619636431,685859894,450478388,806901734,842159008,641834128,583295580,592381128,342683708,811654239,497953985,60610911,157146147,769495099,257684232,576045566,103305877,710273724,213388618,387881241,747141826,701181087,577717043,576690946,789791411,443132187,928773589,580410934,76306741,233217081,322115694,163081339,967935758,555999684,790590954,571898834,128517166,269054470,931862900,485690690,316542974,854323265,155051876,254630610,759647204,560736033,346716628,884031826,124934686,920738437,417453397,538470784,164031418,61176461,496780769,599239206,98465104,538188276,880166383,794422070,486426408,61414553,576790511,807099504,717844362,186058439,804275800,280057018,967230005,331895899,27848489,592303775,797349533,903856393,774529914,61825621,892838796,498776090,487729618,370222954,394452128,556673448,170879592,912140360,384667914,115935482,529210383,672019285,101114283,792164907,142681154,791844680,197879991,249673153,766748774,637419347,914116528,538087460,863496723,626159320,803642307,733557864,748222009,466414313,405492458,571989422,114530598,527699548,158164732,812694174,192976301,179296390,960847164,668189835,630800064,845820708,854918968,731790750,879097498,90023854,173073359,300946993,309421183,267136868,331591100,424863154,102456659,252879030,794551463,215020624,520086764,180785589,948777613,844798173,26613812,166931264,802321879,579449593,493048909,43274288,886951337,157864085,550405851,444164906,478589606,932520021,982792481,36613905,229937896,828688765,982748511,140001064,574192167,902269720,881661882,745445168,590264203,659153181,110112814,595916172,651570417,227874930,992896302,543307586,37440216,377768530,120951842,586775003,248405580,265051274,571542205,350454891,10982104,903394298,56230173,107460383,472049622,403170700,942904360,463093206,277266927,580232675,426012985,565428382,27743567,957711584,788073300,344758630,36918775,871050934,903625534,398496835,964122415,182069423,317708684,169718196,939375023,760899407,988638878,167283128,643850645,178538274,302315847,117781692,630209171,290260824,444355069,840655280,389193136,633125307,248302355,717658401,42977377,959343046,189317252,695691128,780093029,826178351,607238198,249857344,59250894,491506617,147895835,845171246,931263628,503521271,197231112,231442882,883271918,632533364,648244955,757670576,547157748,711552581,682453209,824154723,84439371,71612855,481780394,937299028,927869663,877114446,473916120,252368271,117933334,81688327,950048701,556733421,715888754,816672884,675437257,248173302,574043015,392591044,534056440,344308898,886393346,151193768,583593641,786031902,98258449,849308368,422685942,162749554,364014478,456726583,691853916,73927854,197747341,966250214,704309689,790207538,219716326,971857282,338972088,394690723,90334120,860613822,344795355,464749179,992101260,898403417,324703128,324028092,690910516,197098005,142709257,487195416,320894344,896767376,279386025,767961399,119953984,586503771,846663999,607732498,234364126,302275095,661544249,22251706,106127916,592570173,321760723,100143042,432613930,612187556,293410278,294186168,620799935,818823070,992242956,745760657,782869570,504151884,451994362,803921080,10538423,745446933,961405485,807678339,839075625,509915354,453999354,218408025,594851621,832523243,256563011,801693092,583467098,34254493,205433215,883550901,761360760,149122659,387708024,909658294,942770621,655254853,118233286,81831263,151192397,688141872,541970397,28689035,590718793,380500666,795267847,894634472,983470200,381344418,811038338,753072677,37925583,72905645,541351361,437672997,122075813,238222641,326902778,6425326,280922949,473826373,947653324,240402068,423337486,578236447,659780526,628476758,630764625,585175849,922441350,74411656,372046310,26185980,235362021,393900349,385961411,547239812,884090591,425005032,151390140,446965308,305889373,85447272,300058003,388068471,662363464,444732405,672363735,189071206,780185373,133730939,213427039,664812076,44104814,923576484,426947543,831523613,414370826,896551643,83730639,592057746,438982488,784595292,228359841,564769026,18737214,767406774,875001086,613034073,759572950,401582606,839341284,218694238,312400443,379480149,163278969,912567366,596581299,755833654,180268489,707808013,411522327,691497401,615531312,268298744,237215920,470511967,757884851,227054910,878299666,186701588,950316303,854422943,122285299,23588505,958888538,604115596,685608881,363463991,28307338,865370060,54860138,631647271,367707188,25125237,128987638,220579830,441798564,384515570,784738605,384274221,139360937,266201168,492200776,247956569,655090492,111387287,712851039,731338093,116593585,289187045,647125485,89710241,301877880,302186259,393133250,11389471,764830345,556326894,997001188,456314972,354709937,369185303,816991536,425359089,122065170,150429054,540198200,648502664,152608596,435774083,691639548,492715240,627714281,890128894,505517424,358526992,858535110,655607496,306030492,178230388,437026350,578665652,150426629,583573229,386592877,563944740,652178895,865991994,237270120,873366144,726657810,808807628,385229114,224936334,29557777,316527146,710296311,900395484,526627953,861476747,417217068,295345549,208702891,855483574,574611082,691018255,247603181,852703797,607635045,127340052,421429409,772026886,918972025,352520440,984414338,532994241,441757399,571685396,875195000,610713981,335946104,925271587,252226794,765148957,718707555,336727236,225167442,680393850,989740334,458913392,388214833,904986334,895077016,678221406,497889077,593388176,38261393,235981827,588084978,646606346,485569009,900570552,353123439,308906096,309758044,962580066,955230494,828177799,52295155,542933203,874260094,430023622,211908396,253181098,288150610,69975,555486074,753269269,695463429,913841257,777263143,379446372,798075129,324042310,817682121,977476994,197765387,262883340,800286266,362937825,708315682,533980450,27816761,789898774,93090732,893247555,771639447,143240743,118021984,191711220,161191257,679250401,742167682,559573074,52450262,713104508,92835150,567460440,981445192,88065865,750949981,539458825,540514053,362663009,765312252,109920616,887815904,999949890,554607855,444519347,177967454,495881863,273369261,308077590,181144310,864409867,792325223,581004770,418752852,391328943,976599385,315254712,950403128,226746748,282668950,971139566,68770531,766372735,514523973,873249298,248223811,676741117,829791361,747081511,758661789,558332444,23425792,421197991,273603820,685130510,989144222,48155998,440161295,240402983,430838753,553998328,107474255,374421577,917113584,31355490,742506805,310893121,440443634,280517486,935712895,13112620,539654507,680327798,274586141,135922143,541157430,672697798,196020218,250036327,572276603,972887262,996814616,637870231,488604613,739966266,527984559,235607680,194582928,672609816,141706099,401551712,656896100,576028789,803924569,186539237,323051650,419212340,253922889,788338760,51228464,871998665,598887926,719699287,913004763,944578697,870169953,287067706,572143798,434514549,459383054,348184200,400207278,636839217,274798704,281557611,611863084,41189427,47080061,477249120,116065949,337946893,740127583,580271580,463545273,544465583,478487014,431183162,619392830,167614312,816441650,421376230,782388185,323674319,129652351,28744350,503595517,300500269,174387114,603739507,166311797,318939568,997907756,302858632,803894349,459404172,579017696,931604457,73117189,449809087,712884494,893254192,51912718,573994197,988358569,51357215,373279239,361693006,822750035,791012228,109403349,956891532,298130990,397161386,256128915,32670571,116773783,589674564,981869210,670134327,29417383,69911175,519615414,321134403,166771969,6192405,738701258,397620182,20192488,749253884,690201623,664712400,366323508,978084947,755264326,193014631,237113371,244760333,677895912,344918265,648708480,549967274,48890884,86760586,370320962,396411038,576360431,467759211,190937503,903639496,478751278,874678321,398429639,792390947,847648809,411791903,754379324,350369152,527279026,518078910,48247863,412154440,457441886,750938515,969967003,488658086,508409572,389208492,165526105,125535091,145308238,285008036,276202839,147570552,957189665,362974931,751787055,73004205,828485352,37627723,994484591,49596507,749370069,161971069,529467656,728582156,372142005,872982010,787906173,527800222,285805970,701769994,945000859,485668554,103181440,899393923,423627053,822169225,723212000,825201866,154256725,575720986,203455126,22105707,262742447,874522926,112868977,508383674,164736027,398380124,1833129,263064414,798047370,140143900,960335953,2179089,704602788,57238951,916440555,41740521,548068645,336682688,795356420,39347031,644978531,517866021,628398184,971885534,330575578,309857720,141917306,666436998,532026262,449958149,655480950,513329337,772075258,227560650,869217233,994463281,217791773,648163553,771590004,287825370,478376152,286703666,960260795,254860230,956757454,551319924,754503682,812097151,490607425,985967750,810596720,543989006,226622140,87824527,903335515,878794048,915414251,409819762,966695260,696732234,213230193,899822642,617908364,483981731,313237022,422642106,498378155,453907161,129014074,992064918,833771465,271956759,555921722,85782527,553411733,946605875,850237478,583722534,188290012,60936509,70098657,889989859,561728791,826400833,227849500,817809043,474951712,722133156,361523049,572179553,860420335,960995711,888566221,56452996,224538973,654320551,427028481,701597017,902031281,451848796,204571465,457252923,856612963,637467881,624742531,715361578,543339295,615295203,114072147,779763414,904468217,598295454,281245765,85216688,522372714,333677620,190701160,935334022,999102335,998529435,928974832,127046241,397122133,326817208,846661584,367394666,406954456,285775246,22305442,682439654,13264946,994466242,773773964,963580684,101320813,502689461,18772639,329844128,255582963,694473718,701531477,633924090,44031723,253726246,61533275,210689761,109363228,836808772,85335242,768007108,614466430,781033733,716904158,402628151,392570077,805259538,683481138,40829844,871830225,607585302,7711219,113227945,978820955,615793567,483623969,911738427,967864020,206618045,961908164,651584280,962022962,807777509,839459765,513695998,291799717,676411062,282881896,723626008,968670673,502877660,453323598,18620582,477674216,348818899,688326578,546209427,71318532,917037682,933691929,156180673,86662795,562043486,132906306,323240132,874748942,254654055,540186936,744163898,918798322,278629027,138284769,760977068,490513499,836139179,597422088,140753805,667121272,340100929,410828025,652192032,919241392,375075900,211955110,108600630,227841179,835525199,853893210,131726099,119470318,17854036,603785380,423308193,114557275,576650214,852539783,476931472,707397992,410718134,583785072,228440987,966398822,275116981,855212610,705460257,512865876,17414990,5955456,585665050,252191440,304398413,265162444,516672189,596156565,347439012,655907371,320155324,720591319,600746884,489882106,889992293,941969931,666833885,635982202,499516249,52061813,469237996,230171846,398427569,436876508,956955071,271299577,26100575,835246167,652815588,701121167,671438089,723333425,477159391,138906327,168724437,808140412,736423604,772667878,10451845,175825693,208317574,71111722,252840747,725509741,117737519,106569129,601540612,711920946,131790828,562096347,788312174,542786493,136761304,981432609,418637912,989740217,820668149,941937974,835835264,642928075,500668188,356750526,645442038,105143946,959441751,628147607,627778977,955349958,964185473,225853190,659861672,181679584,318032051,73374041,465975694,775910372,113648943,814873886,659507184,989078569,973116235,682325278,861298968,959724180,174845120,149141458,274413529,265365099,48703885,69474069,295914140,262188657,595121214,891465501,451610221,712727641,789868842,7877543,732624283,834557600,39337354,705679614,230956630,969912275,408087214,294698497,811297524,42336371,659229761,658814104,137722579,375113872,393857436,145776138,21411481,113409751,166956928,515785145,885402938,369714403,291642445,418804207,181209950,754346214,580616694,252812292,715717377,218863099,137729844,315138250,388096393,47565225,935242316,941312038,514939142,2503197,753273087,848484865,659353930,153919719,538165160,624478295,611995514,699606293,896957937,602598747,432219305,605746142,428746623,167524656,806182330,317846754,546999803,649781155,858719757,266218267,73014658,414159709,752928310,533346106,176797260,595236146,378017707,465672606,868205520,646133023,100667904,513542739,729043660,192728111,260440185,280647673,17031225,734297636,942304784,925910558,352321726,175468788,362842956,32174974,105054213,471802504,803080981,682245286,630526300,29000235,505306010,417520364,854579577,456663240,100649052,302822114,100784210,58028333,928231887,560043595,571138324,351383374,120763664,11259557,235887794,514137080,299826612,257041616,839223630,562046924,980380206,882723028,878052258,928534659,143077670,859479741,580597589,647485808,901938967,705027635,61770034,61779640,905134263,523006287,620159140,83530918,166433062,340372930,614263443,306617736,25505604,93918796,466004163,55653149,739022577,651404762,583095413,680788808,235801436,243735616,768858206,64662143,327159372,982577429,239802526,982358011,724943253,782498736,721223866,44792196,274107248,666620925,301693982,123418208,887759849,485886139,662620062,949506381,970324261,893698530,398960769,778735151,509194138,307055545,434996782,829341861,984285896,654875560,972887158,114214603,623610266,727178976,263827277,180406440,901207693,364721130,125405632,644805682,130061643,111746839,641511359,10447773,906941089,792587098,41118482,365639506,194770435,444471810,637324751,35438064,863529634,829141115,353725508,686416432,322010342,308817937,39980733,537917400,735914905,737753028,658320566,454214581,972176612,107699066,658513889,186221099,865249139,195725077,354504064,527695880,318154222,428591677,253551620,475209604,688995284,626572654,782318418,217773249,60121318,332381993,739866724,283201802,863401398,380082192,718358656,418270119,149099453,530564283,652529704,202915617,639847953,702478600,798115798,301420841,289164613,62071663,780689117,65818295,727005599,919868141,606592500,549646007,187762068,289680803,180943955,380783065,507894910,91885424,563077804,738130293,334968040,987976830,986527813,418883952,987130017,794059089,675796668,974417153,608746448,116851867,814387341,151390152,457583123,913129296,307952638,140122264,250212153,829950401,175216772,682668925,562669258,943220483,406787491,208263086,239599598,154622770,665020305,405012198,368532804,460099033,721397335,668943938,977866334,350435904,704466214,907602747,705251407,458366354,67178672,963068169,302739700,437532720,459270677,444031022,768372553,759461648,845119980,119180027,601528225,799184940,813169553,856757430,183010367,234577202,929149295,992760551,140662138,370856973,47923195,956097233,51588722,307878795,900917023,234313008,408574281,935217140,380048703,346204673,559548407,548164135,819839258,675142252,742027381,862264185,809770768,259350453,252598727,534826608,92079909,38110401,335765072,96046734,777236873,196975561,255146217,622931149,679388281,281820378,109927453,271376824,773908387,788027768,128101951,548731868,357019811,100098133,96901259,521534511,213527198,578020112,367405827,375708652,170181466,886054082,521894635,228011633,223952778,976841348,585074704,75343059,818820127,437670100,944577795,945495503,47856656,80786657,11018505,873430180,153556183,120417195,905587416,568945578,783692824,489281827,400983533,3581762,378122199,458382355,94469488,438689404,479223396,944396802,802114177,399886269,879667054,627680852,202839445,263927465,305757867,67156903,815456787,411886522,87526993,915066041,197569889,723319766,650889633,293595419,957354020,718610053,743537407,34047641,643273705,305946667,689717550,3130472,84830153,296584000,253598159,907687327,156973713,120677101,104794931,980681633,243019426,16744490,269029856,243386969,832108452,903838276,839588014,718930548,364540409,605857497,997550208,412329471,209907359,350664776,874736792,227106696,961970765,331727897,631410913,488452216,844886375,887830052,865127030,192882828,25919456,611833612,896529919,86048442,715489281,183323178,79004740,957554629,235226878,361166762,155487326,752185158,384512651,174322527,619074797,321262813,68609527,614623342,882016121,336669355,361274280,655130785,98476536,882412163,256816181,754361189,5161707,540701991,498858298,440696721,995108494,752828937,851393660,189176906,602223018,836205471,886382121,159183826,264304449,153221023,726157810,523902742,308189785,431744002,795354543,44266760,994669673,444826801,541010927,262313459,751284930,668594218,944446567,113245978,142267741,366588130,903202284,898684814,316444213,740331657,403835406,881335857,740586626,141518951,731684710,591426504,384652877,536497465,876901421,363136762,533709790,370262015,48866470,466219265,502878008,555778518,53414919,626642099,918600174,794149534,245240002,425704408,997304428,590000182,704627311,569665548,991924626,991703046,567206010,80007553,683800209,469304444,199104579,184581725,508100766,490165911,485504838,356362855,956689913,749135137,852504861,904093841,321772808,288741436,137445609,742389143,803614620,717048403,881504142,929073311,545066174,719024950,60015705,730063607,556556609,534088044,980662539,13533465,998955401,118845946,744318588,341701674,849798237,484190396,583454669,51631654,80954968,708943453,522303792,309254747,844099071,259075745,615495876,500362495,281095225,181629193,996289551,923825140,677274240,259574575,787358890,35680091,615939967,428243466,252248946,662400809,80929111,197913143,360923553,890344655,474487336,444907345,862006757,504290777,474259995,128665074,968187184,792955353,483591766,634251390,265277164,187977884,776229389,294868824,344875651,231305161,34236392,857412334,768558057,147953925,568706515,438911771,907232282,467064150,153045538,21625707,308304035,935174962,879892954,94673749,719241846,712598781,520935731,591782005,298992414,570971294,610747552,340508875,671322001,482773224,347617465,871093088,393352598,44698061,101027749,618612132,889884678,312152990,605790440,149260345,744668974,514826175,298005295,337957220,458292539,933727331,15283372,963564669,359649650,11826708,702730038,28676557,829833127,595567902,928332584,923521072,142160116,55226027,658552689,239086018,699146016,365218629,632492051,65880975,875835733,222989799,19291158,914780834,362925134,893692937,906303406,802901342,945930035,593921885,895610905,294678129,723568119,656289759,547888340,220312373,120196547,236602677,512420409,581773354,506420363,976002218,294131906,537659953,579163518,254821474,137463287,376487650,7991883,147160302,221257089,730466218,99381594,416217813,547348223,554929138,365966,991697060,358704203,74145303,833093291,383026811,78407410,751817963,957883901,965739312,539013023,921222126,308260321,235137033,509553632,654284551,141650222,519312620,446337138,931622383,405978801,211693417,975054636,179288271,878686832,438378605,391866987,762407875,151382431,809484609,667341999,573599474,268942585,985650557,929057910,740764211,595590510,617629838,585400749,937847627,129790153,815962852,854364532,556048801,804658261,613929517,638959758,782493934,407158858,272740441,390449513,113729546,301148829,570803541,506896831,591784355,313055049,213001554,981190571,739953081,535265436,209157722,320157478,967362722,193135880,326239592,844813914,349310815,526155233,407786937,835422742,772912637,213924775,230657513,558646026,954597249,725716061,418064856,39668891,25520874,361021868,563729902,75580036,742558396,967189649,668986931,832508250,82276271,41412018,278915041,818559813,431468948,482206471,481746312,126361181,837431547,574627320,309234283,991568858,648541050,901625645,300807838,79463435,344702785,244964602,872369617,808898406,840434169,322416580,758903208,285435702,866927304,613459944,471948027,396145033,972046719,64456694,821895829,879621058,5206731,215896863,618281505,871676232,928578318,449894654,758287598,151739967,17215994,165071504,792936121,886513200,503777076,744565174,159261064,6901497,153373988,485105705,589123534,607971885,394322399,17614252,526511482,43081610,251542712,240429696,719727138,971744286,637820022,213167830,858104987,696622415,20711292,255491570,902683484,4541487,386115474,38154704,142176968,340762596,842455165,10964444,411215658,85243604,592674674,43700493,291630239,544694835,52717489,630681739,960097968,9237605,976131786,392623298,932293440,366470316,311986665,627524916,568944879,761748262,867642454,144370399,233428504,356187409,6994234,857384293,95516996,650267301,515112633,995300198,480349234,999156976,154066088,499840443,337252285,749337551,273986862,760859677,653625759,483690382,974577007,602467258,53272194,78511833,182627246,308953272,680730716,109356845,266703348,527276886,601723100,893056322,161075625,576737420,6902208,435904818,338666356,527555291,32571979,444351632,198309405,401503281,899803643,129443384,550504467,673581630,595599887,584907126,854891985,892431803,601599103,626649036,270486053,548190019,909163039,277286547,134361004,222689518,57733044,503344158,968972854,426211536,878693573,891523429,768622939,514498141,470738188,182887460,719355084,225528771,601415427,91696932,67653515,434533499,964064732,45450160,837911824,560389138,764948372,908519306,954026497,970078190,186693092,658451968,406601673,891154842,336992104,655395326,825430581,724383424,633771891,719642571,677547965,966521770,427251782,91651136,41354619,968960451,788075804,133535052,303558150,275332175,320226733,401887741,781769361,536912687,883978682,134201874,614390177,314068804,700634661,805271161,475533947,240551608,896967217,61747153,169608962,394233285,655077125,64975565,844106018,403425091,273417311,401019667,19811230,142003689,57355950,780221339,465809453,367384042,987699286,151308611,583447616,284442203,732348554,255208075,688182926,238369363,162277560,743563919,990647908,204909819,721871192,828919107,893141672,934741660,890678971,104045822,903113767,260333094,869180407,761318893,263070297,138621025,979931985,601621890,439379002,579035938,351813867,217214030,184977755,493991218,747263449,696299503,728291423,102373754,448613424,571551732,66988963,547966728,410404885,440052519,677055464,541137557,31363759,418566344,339086219,649134382,960100933,490814912,740059586,526716792,322709914,875583257,763610858,779816297,355463625,653296231,285758197,475791477,762665625,70061216,487882591,900482856,149924126,156680744,575481313,98610409,63413746,84798353,235979546,841524982,6352645,65566669,298800640,295249707,926151319,701808487,405044290,732068754,131780008,541839257,583726385,196727126,946147515,202292642,839938098,224012022,165513246,990601690,182493686,395514466,355132327,434251948,973742257,643474717,768282282,859106218,851620401,785189714,221725593,897168702,582608170,330103713,194369244,775955576,185711952,842665068,268135109,508429454,9932273,34816437,584643673,313014552,319733217,159220851,331327302,930114814,205762188,91013208,656401143,981568228,200367827,285076750,21837260,278409509,433028695,938110219,684814389,621445003,34710033,172056264,845988158,315354006,882017223,35949817,724005868,219439331,535261299,829629689,486928439,731277452,641903713,194879941,369313615,378117479,92602830,900101037,241347513,980438771,704013942,873031937,356538498,670936809,62853159,606810032,808858058,505586235,140492817,156321142,181280639,317543233,468835927,660629534,346452256,381468165,349306119,789453551,667104628,891233087,577279427,182219023,706062632,691943447,525496073,58496789,708251431,137772546,226181211,189587602,431583491,212335560,55935584,495543770,291986391,496448696,265075338,123742134,127650140,508454206,550667240,396214816,994032315,486441432,661956056,742244626,377644552,814895264,995727497,484882325,744513894,177637887,292558690,120134794,63732654,666494943,110796155,295476152,616442895,773526982,939109510,54408939,253350709,147363136,777946892,452830353,238569579,599652316,360848705,887849520,949361324,843629728,514228810,693011158,428113774,773867870,730881597,850966150,206806395,80708362,351277990,810129249,473957304,119769425,578643818,667463032,905662699,122660100,676134244,849225654,43974737,837849129,61231338,723517322,989223501,310569906,690462470,6030925,213379809,792035067,29104244,644847736,26787775,468638728,649393280,433163291,768485869,971473872,786330111,13390131,391840150,287125289,151055183,681461986,274640761,135339617,335219296,793305186,220092961,472563644,695729747,797236691,399290714,378529431,466786449,978943611,463473890,45072583,434689132,88217551,499238064,97016792,223561464,303883912,588595962,383865198,231372447,195926435,590414469,410189595,395430349,226586837,136026623,590211982,568044289,789965237,653534488,753662987,201391564,423321734,217087853,212195501,969016631,617802340,613716901,623668256,228262377,924711677,354255430,996198085,550275095,404510276,78208599,28326502,950819007,817875338,252651788,676837644,726338306,202109132,57893849,25548671,243077659,72465599,131754819,901188001,13173859,874797917,65214972,526803236,798427611,580245517,304982008,443002680,512274965,573904368,227089047,962624932,238352632,187666573,100009675,665361074,763067062,784546139,803778828,276549905,832305135,972661839,634509311,478812098,144422781,22787914,228665082,29659329,713824076,722893724,730332426,196393664,396173505,647888645,990431704,498401434,186352683,826690591,206152161,298376159,450376959,893361034,715499360,676112393,556165701,984091090,726084178,292288996,768964602,217183364,567517299,157671249,667892244,730970305,557837724,46120604,50910308,411003437,343154310,397785006,217404157,40926898,138887443,804766203,432181085,403192664,782994732,247984009,364573680,777140071,527470919,193246111,467244726,68855521,271125967,912446664,87515208,914386874,290722088,964836138,397052773,488326782,277977626,862177161,472941575,757462655,20361121,491114605,782826291,458360816,389547857,719002451,915306787,768525974,989735440,570731840,117586042,359817113,959496712,74029544,931131621,373329696,382428222,232125254,104966761,870968963,134749636,32932288,140796403,832041309,905750697,558970607,982782338,310060874,291762407,879669355,435827952,265122868,184842931,644720659,969765618,92841950,310868010,389854863,69596012,55994787,738881269,49635909,405371347,287544600,841759032,957151503,268401019,396628710,80478857,659137678,519741579,233182170,178328257,810863151,54319443,180693157,13611361,999711527,326404924,439908123,559597024,354951716,568345221,428264912,500060298,565274000,552137000,354239598,968612856,971680119,488286218,902940592,374343634,20860022,579272524,972722367,488153252,700555386,130386032,359273466,41205881,99835863,410066262,784763291,558972859,503792485,372261141,298974949,290315758,576144123,971669783,680650556,445830725,665169675,115312880,842420346,936062493,54740704,759748556,161649590,215842229,661286844,606084785,303099379,98148857,931134009,949234506,199064373,504245588,836745968,889818570,493351466,635961143,372785970,472107066,938425303,448918365,438580092,723670472,613421562,214817198,499162061,869649521,327227976,978282957,796359759,707880495,196163128,216297021,31366701,143436590,760272784,678248411,132966056,207638682,707114554,77148196,615012160,477404511,249703304,187528777,887267269,416800512,65347810,586142302,597619334,592742868,332013528,703523681,816505539,186112142,806157024,99003676,736710038,284697589,781665532,353054164,927111442,753701273,128201300,884061790,143752649,210769893,427953190,454487231,205297746,161949924,573326411,671576723,652528383,361889837,245488882,860477793,888266705,953945808,689515830,353093966,419663140,228433653,330446675,952007680,627760763,831305925,611358960,686349469,963700570,389956158,917786542,622617789,13583020,857500653,90103446,595474086,467114715,965314444,425491038,275074949,995695868,724383185,163504188,869939044,765810032,607672166,914608744,772806024,33661981,610109922,871378125,33739014,612315855,993581016,965782278,703749866,685021261,257894759,562645726,967756973,654629572,386931598,196309477,838724045,117733251,393311721,897645041,715833068,275198834,206605073,254442323,806192309,531029877,800139353,993307473,675195995,669101971,125663801,643032350,711892825,390015070,570189294,511826696,142190235,767224607,849708179,457757880,116576314,862592823,38541069,169601909,317368133,478746147,760897856,749252084,949478082,583406417,185856627,536675441,277495223,708956231,925892599,285488891,475117,962239730,61076019,297557997,187189662,335987511,249214109,824004911,116165367,592195228,807936331,610891597,604998696,42525125,667435003,141498290,104627652,658170924,685828570,611627524,634539319,440149491,853900450,527174931,513496256,202067154,670311924,711013168,453850961,915811448,738774538,488741274,340442233,392655192,368305114,470156370,723204128,777135211,168791385,770587707,857074339,528792996,26664820,83451619,459126460,896655532,340024286,80519670,816154314,305568777,513020252,618865669,380452898,166638510,645525979,996103771,458051976,173151093,733703990,580189090,469135717,401011556,124010905,694428514,32646969,278235808,720464608,941386621,830470139,89291662,814305583,578124604,167682814,258401742,185104695,454085600,744089770,404150961,380764846,984503897,805654383,595535256,752181602,744428811,809479278,374241778,913292596,392943313,498364778,583470847,637620674,999427857,699530551,108760597,641881411,417171543,14481079,372017290,85823455,337729535,168174757,603765436,472786039,814303465,594608838,134175694,903495603,434059767,723437955,715593466,46985937,1894430,315077739,823320648,943390687,947855167,872876376,411126109,922427239,548318877,858523323,565696563,297941862,186446158,528094257,390235735,256216575,40481588,95577394,67780016,131930695,107649926,498263485,767741174,398852255,103596510,990402429,542397888,430746142,551068054,277971100,599369975,618595542,391374893,777220790,801484970,660707291,914588565,419567089,965968948,279649153,301417417,7596670,118238883,629545975,83105352,952748016,82579474,24234603,605119950,430406783,184918464,580199628,618027674,804809776,53480942,478277674,920053469,457192235,540518013,444969595,796604805,443668816,227380143,295800548,703135308,748795951,902633686,910734156,838711168,503178522,986321812,201601645,892784732,558454021,790530783,868836772,727650494,623363107,811246784,713159294,534591975,529149555,652748432,806539502,236230418,522317643,482107675,189899776,978809990,39010986,958130910,981041075,793313821,74358399,600635944,134994525,605738688,925896119,388741986,543327853,541799228,871774252,6050590,532266647,612772442,399664911,466773069,957672993,648654031,636662616,324568283,84406955,370871892,404329062,455781542,941994420,401291970,453984389,826880266,440436176,164455018,163489429,129718136,689593672,578107838,92225387,596298503,373319385,17157194,942898213,949044628,585382404,106247549,130647769,856224846,60153047,994250868,924710587,588255937,259604274,176677148,467764844,690677680,851009615,747449312,441158323,151179656,628686130,541480148,783193267,611701732,137924120,124261806,660050048,485173567,483132883,837398457,217521409,2497695,650635247,811848190,891961356,739891384,723871512,314140774,591880223,106779370,829521347,514316111,408001277,849426698,114138247,546299529,46416889,565440985,507466954,702905154,734804991,761555144,99831846,789676435,718830028,413436736,999810919,327583411,351711449,867632138,354303019,353758268,161585397,521184167,345304587,209322073,211778270,272568373,984092217,909692888,146735826,115268882,760409811,607800091,421301004,790269960,903355476,876550226,492731685,942969701,74192163,249301079,86678649,269083204,773991629,191162128,99675787,58493246,34035925,128199526,803709215,832193426,144374266,168916588,504613196,470606591,291443276,15900410,212080798,69045566,28209346,758798763,78588038,977870358,740832445,347467224,911516435,701778643,619377751,596866538,351904178,900295576,284011011,11145552,571489000,103823239,120055642,851668674,624727841,501012416,978427467,624034870,667254618,58166660,263158581,642664925,70687049,714204205,985705309,884349288,889152381,139019635,357875862,218456479,491464497,988264845,332940304,517362143,335347239,512574885,684589001,444703914,949850441,191715408,929405110,538206073,949406133,493725741,80153754,458757106,96222916,56024273,912552175,3682561,167571629,331720813,625738495,831167881,811986985,212830548,280531473,63467242,103417600,323980444,311714795,667268901,470630994,229034042,585542752,427877647,978951394,602461301,148837642,643728812,95753246,866308907,896896591,235276537,722326358,3149560,652414138,529163122,435063295,707906066,257717857,137974208,78751567,900346551,57678466,225135890,559123942,164945818,49758743,780547420,176700076,547053275,191467896,929702402,941456237,821935468,303021871,281515346,83213037,801866260,358566066,362580920,646431138,109303462,200463757,158310402,141401225,112771893,440524821,379458702,134937977,226344791,194074329,376735853,53887692,910459772,884685878,967797477,132998509,18417392,795947086,563578055,739121171,944475661,843012880,912884311,420048536,872535816,935493084,718874208,268066305,831525395,973270065,841432135,368124379,519554007,122300989,358615910,842649614,295075067,380538481,591293501,634455775,659639721,70835296,598726703,419234296,178469593,826238520,509469336,862331680,543010509,265004361,176463454,660206449,134551567,941694310,719490834,468093003,451178402,831738765,792313005,13552466,887496843,393095519,725697813,379382277,348993096,688377906,146553640,134743784,357288503,916800009,545321460,933876642,629762497,669654475,976677595,37719101,447215263,922084961,908772718,199449365,948595798,324298062,69744543,823051756,786008071,158559643,258374250,793950201,803452662,63851565,684378081,891296942,60650906,264207143,50771151,291511413,336424033,549301233,654448319,703556682,194404056,802854211,957353357,109344564,289956671,862147730,760665279,463501474,63629512,922086533,692374342,813824215,370180110,267924808,278790367,790787817,951096468,758216384,849818900,167884383,288743295,591352812,426850000,62762093,649977073,944936236,436808782,209762370,24721074,182850409,464997978,456559071,189178542,197074125,644200043,752276201,996719476,857520378,607166223,717788373,85426229,787946475,715763049,84190206,677487966,301368136,909260128,825089031,467068967,135237440,241759103,749459420,670710923,467650794,195492000,849748332,129896026,5131458,864861637,972900952,704367851,184144232,898418821,932815735,365949976,306208936,269690191,460591910,725218005,707039828,358814146,459912960,629236655,738307150,170595444,127636759,761465750,906097200,733045847,740595745,589901065,60334906,562411420,962950334,306316822,873779490,861785904,973188023,410342999,814206181,856069311,875023742,724600363,886369816,770664657,140273103,89023610,101795284,82038683,169725341,675117185,491888115,135882678,823456863,623961516,21484341,635960266,944644238,847876412,361837403,249611271,202166351,835198798,176271383,388072097,986186708,515343521,261712757,370885243,927158110,336341538,412821340,176083901,408555984,93261441,576314501,770444915,48109021,758386135,454520823,275204083,767970335,324226181,549644010,570108218,151378887,201748466,429210540,476207893,823419085,683254746,620383742,325550942,410610687,64546901,284242944,949236751,345978109,188072064,696479662,589302409,898404569,127513610,732412825,112785803,849653719,111646631,320907185,972445853,943725801,602114612,880561681,334488241,540699470,469506304,344244104,150289057,416605297,300354347,859903526,927601144,651797904,798487583,855856569,488593643,521869131,825214483,255727025,600558392,552842628,926082053,243515978,476359248,510642329,324058175,605275154,932150777,52377563,39792543,792457055,806953593,800704119,923087895,365413494,910518312,573751330,227300019,364908783,901208602,480227970,292023800,812142329,553543602,521577952,457323614,240320453,412842881,972322555,250544791,601109758,763593660,454116092,565908777,504492453,972394904,459625946,212757057,932150255,44890385,364172570,976182484,638200387,712571322,301699852,77527098,424253768,150365861,137371352,980014723,203707214,220358063,464839142,217447172,474307217,815985624,910077468,318726677,551991888,199321287,704083036,454847262,632804218,879405235,92118529,693921843,359421970,279169966,3124600,95318427,202521438,893078020,160496434,870865895,478178979,601671700,941635089,551772571,674197781,300554906,904336690,176175533,317966120,378212191,544906919,768277591,257626632,576681314,709784536,135072385,497376482,631359984,22289246,136691335,201223160,238592500,551491009,974396591,332844428,330262048,945732173,664562770,109281695,282112279,382982237,828938226,532223724,689451290,774164196,672536975,861389146,570423278,842815864,84946824,158076990,854560701,515915965,199120447,738130475,98927231,303964489,614044022,640810027,101067141,422898028,113132844,862673628,542800673,62543068,31814244,401710728,968394018,321998721,326722981,20833297,126623251,300991462,656320430,670774772,861434661,72645179,515211582,873921700,654327465,577715591,223529900,22866318,950349849,218597022,409995,628473864,490105921,364525841,234534983,447207407,525189732,600138787,779141914,412124427,626244710,255877035,801043266,377589830,355543929,856333767,536356994,703801776,114970829,100333525,741327703,830006160,984664397,358034119,274410119,56437997,538543583,825782090,144785403,79480407,900896640,362505527,3339094,814149261,262498317,80013659,188569567,67468886,35796109,937001750,770851436,391527639,826507632,699129324,377628430,457847731,289563556,9674098,751074771,619110971,544875932,627065843,231418974,853195719,28787660,780489587,97087045,43019497,580339807,61342444,182148809,421290448,15814618,681367131,908923294,641688014,715055544,723302870,933233334,845283679,247061703,92969441,734859582,72042217,235696742,51424792,26623586,760403361,696380242,15966970,807816095,985905470,492759022,733890560,262465518,859941095,265869415,668269919,126586653,53185203,853513831,610234365,152783150,275805376,175781061,542513264,446532802,710397944,871416322,833836788,493265118,91070806,969479957,943606629,203876868,58479661,429697639,924396400,249635871,639855821,255837810,287035979,286155492,346064405,52024907,422317088,156307584,299319435,709748625,712071565,325104069,214409446,383361256,200469146,184307039,303961869,528637752,778209327,574206334,164204543,527189477,403339072,289465058,463187930,731662940,269537648,933597228,102724222,846847350,793363890,509057823,791050028,423477341,529001026,462362921,183794379,36890228,131726854,436480922,19660359,405018639,713957802,548885048,772711085,98426791,264329435,414230418,862327696,838209190,946515007,964522257,38089658,363113226,172283831,419883391,111468321,748876582,195115037,464715217,741438559,666744115,835606897,15815421,367058793,134408294,133394901,255810130,793217331,798614795,115721979,13107121,59589874,731680538,273313441,71715133,893939336,500002032,899011095,422939901,415611815,617669339,465778402,829622429,556338010,132321370,123037753,553289862,208119747,791649508,730470165,429029046,145653106,584997252,505749033,965997887,493759495,863902921,274589882,652384809,957426582,760553542,467094079,600026563,36104099,407554772,823129006,448978067,954479382,934193564,623805490,709171783,981759410,549528128,511404585,458588082,863264951,303317798,143174725,985676854,955091369,303675845,954964588,284396361,960368582,158256183,80948793,102256553,394772319,527873776,479682718,259851578,87748136,169334523,65460466,34746111,328405186,825076181,47794117,900574340,390936587,290815100,889225842,433295777,729991417,182547418,56667428,332723535,146770184,292585248,751270737,538179079,327267861,810156234,998239985,114997481,206164504,110193927,149724084,544949246,897193200,859631951,828019387,746293741,752477286,396656733,696685630,982798021,272504250,112424823,305916389,620260620,301645764,569291514,591128424,544035465,746559674,139147125,501756218,871520579,943531509,301077534,240281502,868695558,476473508,886616782,221285863,791300361,813777665,270783936,464070009,59253055,977315783,254566217,836732934,339366292,333796530,374908573,895709970,14691994,395609108,923889906,478608814,52989019,699510213,454994017,138859263,390414466,347256750,459808621,339740225,814497567,129615078,437544651,332515800,263794841,374742011,564029380,664884625,994235227,619821037,508887144,662869021,229019857,893161460,134840759,111660134,135856519,903420636,531621776,8889201,601089092,805040522,272750060,292665003,126096383,423838392,897601284,784864452,772459568,959907073,365531740,74893413,833821665,189635277,324424558,29982668,921330326,818383496,887272869,786002360,394280851,239164145,864206936,32255780,804506382,836188558,583927935,904413487,793578160,453655813,231275457,125156221,75732299,282669927,22163875,784115147,140328986,176137539,281590079,310852173,300946781,771640232,235549442,350339054,445804914,295220481,578851861,594113211,464621466,641493502,757392798,951103646,391683898,947833640,524365736,891190200,819585161,429549808,461797809,877537970,744265565,482474124,271652991,304151002,543202044,325119539,383435214,690506033,33605604,791840506,506913385,170914584,362253838,430779089,631544868,890753973,808000137,512977294,516000436,241557009,566655276,24591171,724645489,937258154,884591742,740048320,932826181,724425983,826806139,269245900,235507370,452308456,875737942,135574631,536495762,25962459,368655009,340383039,712143599,495197197,532277995,723740454,920430480,915537271,369425832,558593547,515298890,988855147,715067964,376261179,728099858,920477275,411650493,680122617,700517829,38037342,426589261,313444097,982126037,848958746,135287176,60371659,117396508,68262995,414989671,166062585,105172360,239108177,552750146,886598197,644821520,969029053,585301786,485448885,160661854,280165765,511942288,833381246,448138175,535744230,305808446,95850988,605216463,459765180,381341760,734716508,982224859,828684440,730417869,191465923,646317880,679274556,757285028,912234115,299209407,352710814,406099725,591826317,814275974,775290903,459092031,904468520,18969891,330057317,557538922,44015689,529949472,51403872,732159571,386337677,412780878,725679100,259507916,438280772,910057789,396232769,734823092,768410347,269051296,491937663,142448999,589727155,656725161,86126860,556086058,473272221,266893277,465279795,275362554,458811918,301567720,929951973,533877078,405136417,800930645,527192978,466648335,28885107,68021178,601058721,45601793,302449322,752066274,436349928,597997908,546358838,863156258,114449242,35711015,89161939,507754497,282088378,284268037,831948714,261343850,150554090,602182385,774417893,662368219,558431012,720714903,163719393,375780893,74597532,120584109,786231897,63287927,95906098,848293593,914789069,34005876,971600220,122086209,904400426,555287965,546937922,711714948,584312941,232775652,509651066,457630014,255341979,764253895,306552241,374853656,22399591,894312151,53083002,384756105,675883567,684597812,981484228,171322758,691805558,758843266,515441314,590043909,86932060,630899830,628086114,855699818,957411929,457090537,902132406,197376635,934301537,481998758,876815828,316770979,965500981,477718797,102388773,999337744,133852303,795500450,243632119,308113873,311247911,878419945,403723407,442116377,304581905,477090779,156964863,551184264,552926100,376299244,390626175,411955032,513049556,312775383,88911725,428162969,878464169,87255010,345741365,247662685,998581676,380942107,91863516,89809332,558140666,90341287,597236265,784674884,470909946,514445477,967919276,804469082,900148339,929959021,535367648,420184126,251421931,162107294,528791663,621618401,792484083,825400722,286993089,716159398,889146719,907152343,716021823,767597961,79647465,879771372,548973265,507788506,122620545,573608928,613759523,68292146,618921086,725740715,553990023,312488416,145072892,895677722,644201973,53692097,141018139,13521028,938474181,507998068,135236208,800817563,395951056,741218016,633280791,697847869,57912572,629999044,448007662,637808250,336785554,906655763,263367523,196286139,362052402,203373029,334945112,922502517,225260179,995555219,472777398,722426410,166659227,203761708,834263947,465234033,307529692,383745771,611232505,632632424,921284874,815274679,955919270,182439818,829652822,939983564,807111050,554767925,638974894,41808394,926219824,455941697,921721227,96372565,894571616,481730628,913837636,290959367,267781889,56567626,846481068,435821035,398241294,729345945,811082638,405518580,627584932,676019127,443138141,842606007,310112406,832459214,240655531,641091573,677299248,142560720,105493950,265858101,622602787,265359938,462503,182241276,383104305,530042113,413250935,486722239,145573579,626500837,425014765,509078198,659604937,395861556,881526692,250487906,191331079,324885913,532946555,900804194,708105680,593993065,134154171,803893993,428105036,62896777,450082344,625864801,914082042,349293696,156714201,276449658,578357261,607888574,704247233,947938371,912860189,914879417,570351799,488603653,807475002,409823747,574674754,537321165,695198914,627117756,181620314,350177340,698100732,443569940,124885567,60704212,231156903,716910428,952568308,846959357,844651081,726946443,940437885,614406069,907993312,299256255,957424786,913663955,113511033,675727412,454265715,755286218,117054968,369898889,261853718,217753579,580387351,687088562,102137012,87425188,723787317,465756597,223284217,32343913,546319238,428410286,323554557,82420651,551823949,133931127,43810359,951483434,709102193,653378607,132951628,632362766,796842201,458673346,378688500,709010416,325246587,818910031,988674608,109633377,361552432,284976094,659636035,220277747,808099135,784453397,357810058,772358105,285936683,558532313,798169577,745910298,678454321,149408233,273498759,255859147,553608544,478517044,422343504,930082257,214417161,278460993,40968781,178253626,302322762,618136185,783782601,340997967,903226784,924522427,677379605,759941478,940959211,786676428,947402600,125019702,58226319,105996048,955263696,85097146,447147413,874021631,423400935,245257721,96631964,873655047,970213887,168435081,773910362,390989455,18013042,533872205,217026123,101021557,46221528,308745806,615041026,446098449,533483216,485011932,108067198,549396698,383769347,569603618,312157090,926112910,384513171,400027,862457041,753345962,489267062,931181272,658593658,663544569,686136382,9362776,951357597,842278823,998588400,586393887,166919756,642425576,864508454,232039685,322022287,263315325,180392411,601577950,238474775,649947200,668921836,649093236,429849740,35319043,369802528,642616399,763552995,912198738,392584133,495830918,558238041,185303192,56254120,725793353,717188630,860741701,19232425,176435728,705698351,994047506,877111331,907706819,933657420,865163000,147418757,866696378,549144535,522593327,971977972,37314056,947823935,378637554,19345271,859679621,706348776,817372909,192047484,265236604,629772134,238391839,420915361,55783210,485424993,289939118,385890015,450479942,906887307,952011735,551361090,959665179,784187090,303554314,424641399,628253723,363651095,887552252,343556523,25298543,354888695,402007185,548313782,878891914,471424425,725424687,98294797,510282695,898490324,707399453,689174043,696188273,785257406,777841413,513870750,755183067,356408110,187468756,79956246,163019256,109468160,285539086,317406522,663196701,423810047,860214685,107288145,66325509,205529424,152451591,377161569,299810163,93850990,991014769,558328042,391028356,933988267,285183010,289290053,79576438,457361901,582708665,270925510,496568905,587350332,178599342,959432951,554603331,684990595,206731566,945928149,990072611,96735090,329881731,278000303,920851249,665527184,943903206,410825068,148359890,430539747,443021459,686906896,37668076,236470606,893614965,631970414,632216113,196342219,993770227,83666936,394195761,940640160,449199725,439206971,29720585,703900874,222608125,387371111,732770006,556535835,731171829,471229524,171176267,500580698,827618685,701297901,298420004,455674057,546817876,610116390,958287561,111517844,310972595,872235281,541533618,540184163,357256327,311034651,827123565,885843236,662822997,51598924,1256067,204017285,902248434,51621767,862061352,398127761,201958944,784587498,665304667,177919529,774612504,788596644,333143483,19082447,102519164,159291034,649250204,541065916,358445447,322163010,238330866,627908657,346476460,214433501,862231824,637037797,814779823,35168293,983349877,139595327,669492858,565212427,282082552,26751263,431035138,269633533,735193465,998750351,395114948,934840540,389704376,544103571,148671587,200409383,318393101,58290847,513274386,668710351,283630048,138883050,462018683,970435554,482310281,943828194,193284347,251273636,887509297,955500140,105971987,357746861,550201219,842215351,999103708,191661967,179612084,765350006,93352855,20443759,756059046,158682484,989563974,978843522,639685471,524909631,704831705,436820477,949985024,300958134,232622047,291454459,353997903,726854274,130160147,830693143,702770475,110218542,153366728,381715334,844888056,694583910,513339326,33073182,563629748,602517168,464723544,234120530,242823728,161329039,29529487,379848712,549872412,916792550,52662213,58025735,376327640,85813334,633316965,153617900,261153751,526964902,804121660,937593748,608505069,851237349,631922035,374105099,789469379,242465508,602362175,684322354,452223490,226064800,173960909,173870302,325059063,552156147,494647919,86717735,224131134,319936636,550158803,679597173,756702536,506028326,897113463,997747528,123066437,488153418,750212987,331927634,745186034,337381192,405293920,99017305,437710790,664791579,919614051,666240211,852341976,485343625,892558545,372427553,311889653,220587855,758977605,288015836,692912259,353327866,418629101,917755964,993636011,160897615,474359830,973066573,796542428,14941831,397300003,440718105,896882766,160727703,169396961,593111527,63959352,795807864,116629950,725084564,349654029,449351043,631721411,973965104,348256008,486350493,6813870,925399534,482651292,692308423,952593672,671817537,75693342,835615153,806949581,357505497,46785850,457961521,621555415,662678065,914422936,115923460,599333943,380279256,784416456,85256828,19607437,355708218,515975474,998573973,12551517,371126288,678753901,527218001,689077812,175397787,325369762,853766724,440604026,139263845,808890738,973462490,366010281,766171265,215249376,950777360,730531830,770524014,194690594,338780910,569926509,60406724,183111335,631947682,942490147,130132672,114779769,672072923,116086638,443332051,404496980,985017359,187108211,947705503,827647240,754461505,635343848,605441255,322542722,395170152,411605721,804977540,61597310,160085224,698193377,134597767,904174002,740489526,117700096,991211378,836464689,100011860,516585030,460426841,176655967,566728351,590230274,537527313,281725486,850830016,854587554,923434162,215027355,91272046,249750237,674135266,101945835,198447597,145304813,712060941,89440573,634218780,659098996,565610972,796501722,221986300,788489834,884690906,689818195,925402758,599679535,974290447,483583849,552836335,942993036,514323200,594601189,134078702,502523630,284339859,12238860,182202560,170936915,387190204,882614056,70141633,268746371,687126631,714162491,568844417,274096018,142455281,207632244,97560301,820656727,434002518,505698614,816483387,983713478,61952608,584937800,188849063,765367663,984294218,118933806,759867157,798654363,749471794,913940646,24258602,74001170,66083141,636368485,204168445,268662732,252255063,722043324,183312392,872341764,770269300,250308050,100771924,910418314,237382916,30079058,9345500,407240425,946712701,197487723,490843228,702958782,351970357,94871735,449164096,984615541,538382736,995979999,163945119,302795631,937220671,206063014,286945695,535018421,159670253,520581061,141128359,547745293,834028999,518877476,949563415,914642889,931259643,934009383,945165003,55087018,554143816,84695416,844209820,784753643,524731859,157968033,513675201,73081393,667376802,410354194,620130468,795893428,361323036,396399149,285238276,27437352,734808915,237062570,2452961,830642274,529963882,264922835,988686674,863742441,778041862,737410252,412731570,774108517,648694335,620634161,662640587,314965658,461442475,188533241,485673183,159695806,670184385,452096370,238918857,203914004,963542508,470795194,934418862,709765185,77139394,212272626,609744049,589072162,82814681,290286047,92004305,481887363,217987960,62720952,158423584,680287171,755406732,692250709,879255322,931157923,968369578,792304689,676837667,286685638,161617193,788577938,745949862,488445555,30280145,660313846,181819585,18993885,852948590,938716751,671020470,181519887,405260314,54539188,88515415,682396433,246618443,251379761,335247060,477545457,730891960,247393223,210709512,623702770,431618356,278572532,124894132,725788130,548495865,656950008,29629104,785233881,944162976,293742048,965561632,201360301,111107332,663753681,635734735,600097037,668175236,691402739,957922321,26542571,353087584,682571938,483818878,146928632,743090234,501212614,462087071,208796706,189689580,49997971,358219858,510952504,945330336,579813761,953718553,495673495,895513655,391944294,206053625,532127241,211361405,445552872,31652503,317067342,913657566,453803946,212692195,537317146,757140879,752735618,788418751,253223649,412070025,751613512,922156333,5095322,872236362,547421807,899653793,982011380,361591015,512987787,62515531,161349007,810039365,862978460,248972958,594578339,399198159,80252974,554286810,860973705,984477491,125178822,22758540,447612365,341056248,939985656,695728749,729804602,418227618,437224249,640667204,176444401,184351170,28432335,945745350,866525570,149092784,782241480,94476041,214896465,918908178,9006000,514982362,935245757,173929653,264373665,339174279,804216467,26341914,604766803,524732688,637963248,861626012,807389353,735936338,568497549,648818807,227502292,391884264,873458685,272978328,826552351,118130292,109493527,230684256,763347379,122054151,512329477,295403464,614175427,150698239,550806715,255379477,271455921,529255242,816951924,864889073,361357591,827752513,441872668,578091343,839779795,746614467,943956212,530273147,654732477,325454761,675290526,37909437,950524727,805320175,26138921,501612865,883080917,660434273,230235132,407870482,632186644,120144512,324202856,697234247,960792929,649704208,544149467,89135306,899047058,934169854,678998343,366643302,767028922,123278690,821015780,511910565,192210828,372348721,611441164,946136932,687471722,740257354,932057443,116452691,287044667,25628357,214731671,186091437,907721768,924828294,575973877,135437761,834877440,639754260,969570484,295837497,261318154,486405776,194310083,919055989,731085278,407835207,630980224,107994945,302698650,292191332,391363718,603512129,347038678,844508435,25426389,55228029,175306632,458298876,996441922,348694402,268301453,804080193,295838374,326817302,747946291,270370119,625721832,792350278,319945857,682032796,111515268,387201341,842148186,661425216,381176388,131386212,688754282,567961923,490591039,29937471,854707356,145536696,158143201,494639558,780646237,632817319,253738578,872872242,305200939,852587163,748859285,553821503,287667794,494553134,850248763,535889250,905162567,849182553,114511096,850309451,516544234,509717216,174529547,495961134,977607810,720807617,545479012,531460305,665199970,529989283,130621687,32219681,237727022,111753156,433909781,313665535,577042038,457388944,185516200,759254602,225885160,865115440,854710661,810392118,273179612,691651885,555434314,61164583,505257908,984870190,784860881,985154597,408130418,79892534,541714107,634349844,8149207,690887086,512740247,730719313,310454699,47803061,215286148,69516950,829764980,654039225,618961087,840397651,911985070,713581433,738117295,584333134,306577255,355027057,522125932,661374757,400689004,528514094,80233242,24771579,812889641,228343670,836311352,961330865,716060258,213807629,86326716,201022130,286926716,239867615,978666118,587590044,98923223,854464442,274097514,56850367,543021125,270592890,532896983,554596537,311457938,534058553,525463346,316051141,709583095,693668006,839393658,727137821,547628223,246837130,288356709,308495545,670378211,505254275,275619868,221436308,903816766,450042900,984546436,36805968,330123778,240374099,740584543,682459670,495188015,161869183,582620660,65529374,222155949,821175632,814647814,549697172,480223524,443490324,141958652,733221990,606513331,435492549,434891321,999839703,106419543,517927615,967579270,597552882,810634739,232787861,583452581,703013103,959909651,35004240,736563113,847213086,363218934,964228065,218414389,884687192,459856123,202789556,131248313,565748332,325739734,867152899,75434418,837664660,727908525,357141330,222148820,229491671,138646974,313772691,73387115,270367100,250507,975092960,191118252,698131314,2937902,74471432,492153490,239208715,766784454,648244153,223411383,51140735,136039970,665792888,531398087,944257695,848534506,168870694,999989435,773952466,359860357,103567051,729096789,903240404,536561167,758957287,371837315,839529510,450340613,151840587,326179241,185499657,790297220,139432142,360897343,948560935,62497967,925598471,328976458,339993671,147889529,796620500,240907398,579474143,54711338,916040308,140225640,843168589,18706981,388701857,150111679,770356029,273414093,434056230,453483735,989059402,278946091,871226041,563366798,761708521,172819146,526694781,189728038,332488326,711333968,794914639,960233772,646376331,611097067,768633943,595035642,984155942,87869238,846253299,102218954,329088068,164500442,75296318,538922300,710748810,982570572,956143840,17412082,962648131,748263909,237747236,195913095,583904946,244456752,628038171,141658664,945644267,652278302,385296477,482146027,727308300,206597687,602258264,19140669,233992428,287112770,8776461,844459424,663193597,96725796,856666877,798539538,151512338,674665006,205534108,344159408,213405822,554169316,926634169,447765663,38728933,386326494,6098560,18198895,20640209,833197151,437580891,629299758,861276560,412523375,148139436,626614856,723600502,424680101,608598428,665093917,351780024,30814236,502373694,186089970,720064929,729495699,290771517,450226541,299446450,917112523,406319903,629648410,296058929,3476687,981985549,557507223,91767302,112272456,585114431,840313193,344978696,186901550,885656885,601162862,929017922,524848023,814877016,248339717,936284051,251059066,142342436,729529465,68835041,8634380,361302130,983447045,414442891,245356064,206583273,284064913,105402261,823427854,354148940,96406352,362485144,707623513,227442222,332472851,173463483,862438254,680092758,949428497,152064931,629357237,447373053,332040504,49165948,107465501,79165536,235036340,637631417,447970862,629804197,155981418,888538055,661182811,832338232,488363212,843060117,269473846,421555648,931168108,926172117,666100150,144369289,434959597,491652545,373661009,925253560,314329817,492407510,1915932,269873339,366734706,977077105,344673921,547059414,323556057,963786680,753619281,690697947,465359874,152366684,216473559,676946183,63612774,108472766,574892090,40867234,980796912,608111443,604058561,535809919,450551521,57690346,675050908,703253713,870741485,934165166,107256563,592056054,15439472,306812549,726297187,271718923,460993855,227248914,977150101,684896974,83239226,698749143,417057003,956456500,586083517,205916919,136607286,716746597,345463227,15361907,52621966,59049877,786711724,29668411,555869165,427540050,105215245,478063854,866159584,413077820,648856310,483300802,975411698,311287215,11519089,447985519,156064553,571196393,55948908,936817515,248837860,919374797,279777459,549307460,611157785,466316063,541564357,246413840,290145346,226984068,945323664,463714807,981125798,388585620,286518876,48184941,243078959,49842459,903259812,816011515,181386370,358920748,386643094,689104412,316241354,647863181,270106663,523144035,856577992,871223564,85709880,337376157,564719217,609217832,331310780,79950958,419123826,696129591,654714932,659421116,548368232,622027928,677043736,759043698,932227502,399383945,944480258,82796528,834694612,90548926,622779475,42453659,448932416,34693642,644403304,616709618,527293733,151886984,149694730,702959715,793128279,950565789,450516062,342576345,852434938,209946403,710953659,613615439,129492168,637185388,249010139,520746937,253463822,782167587,889358690,543285059,240750306,431222952,857531417,472774236,460418273,620380227,48351910,210903997,324708378,11580530,135184908,296716964,4586339,392534995,802947019,360159776,377596632,196496115,449944052,90868711,510759860,410735773,80601353,846267826,9633561,293961078,902303243,262231547,989165307,971267923,263570586,233724916,639980986,773012935,10379538,274750336,307528769,474220145,325024597,51458196,737633117,641566169,385115083,691026082,337178232,457403976,825531832,623397407,713711876,128022426,122244554,249577494,541418053,661674740,484426712,973964959,995549246,624012297,549904851,972956601,319886687,500828856,281414658,284389106,133845226,610377604,173898464,288926807,987192205,524644330,654645433,530204435,543349262,700553012,275166046,621553973,445458973,320511560,134637695,882259089,419108976,893671482,349902865,483277370,874128477,588350124,211137672,287070285,531202122,821001048,703838344,430696116,189122334,622369382,839738318,801917511,302558425,96852497,918581727,423752815,204251613,82118396,168074114,758360080,834292578,610924839,978978196,819684812,42768285,455204803,997730131,664799388,659673583,440833692,535676614,112430006,142796374,472743296,174840815,136078858,142485574,445955364,504593506,193368946,991362776,362324956,211049193,212201813,375119038,519430380,214057698,585482293,142243353,294105499,471152101,507460624,797130105,386483317,349281308,84187803,943945436,992590972,824153254,474286776,509073090,10281331,637698291,473401297,386584713,874034217,684090755,878212303,628783383,915429764,759987109,403369923,756979026,785048125,14936917,608744676,676314203,664958666,582698216,763223215,968786143,464446700,65055432,935543099,26859733,778670145,680638612,838709730,133259538,450141534,556099859,809396942,361739135,687098237,820882949,246749427,914216189,629763954,589329643,765395339,784093167,396875531,267279606,845578410,615992212,118872825,427553250,542344905,893060192,220492907,576848094,748602739,626969456,126718659,295818928,803982430,167333492,629015768,128655653,113336254,158970437,735195085,109429802,112975844,174556147,892971166,387382501,62522004,387019671,889306583,37906688,436480903,813480338,722600392,227713508,520235962,769599609,895649975,119395012,53169575,260547625,421291353,437424946,539630508,955773087,356607540,988892986,174141483,212865919,618734220,379279594,354919590,548338177,426225895,599473271,671384038,124435401,628343443,664763265,928695428,657990432,459937829,630311548,849138701,988919214,281875229,500950520,120654921,760594113,4275498,225518354,416389795,822948484,38319769,207011118,995422446,389685451,983330526,84882726,416914941,168888081,331784601,225066299,584314940,19444486,155004303,989028901,877117465,712787376,864964925,866288247,127476246,964151772,353386517,847981968,154161234,851976427,693730555,997632073,825283253,780658667,302299167,515492838,847108399,683231871,96463387,533978270,639647038,869386709,784088602,792838058,166505665,731799088,167595005,803840392,694122834,349730121,881081305,392120933,522270031,925736283,270596298,750216250,649517711,852842527,207121688,182016445,474174329,250074178,994504792,537354087,675701391,330159851,701843021,801384550,735070818,565760600,322041140,29784826,521715537,482471995,194181514,621691221,127829707,912318752,829519561,508758696,851873175,938090252,365768243,199098915,488060721,773244270,664636290,282512150,531666344,230247821,836766572,964024436,442810103,951287517,408123688,113691641,783091817,38465587,848340551,572703853,378898263,697098516,204726634,513570412,725264428,754530199,538420468,626446430,131618366,245828994,494184391,788363258,411214396,907832055,600819233,603372097,736168844,974863117,352878507,832139722,794662565,36882065,420776228,155887740,496619872,602902868,535628990,149879829,621087211,166030891,98754712,574321629,344823634,51326985,16508844,258342271,635678010,504935521,507100655,459710996,678910311,440213034,910171243,195446391,106767230,225832558,117071522,699519743,391007767,492588615,427067146,363719466,789429374,752447094,953216165,717966046,841170792,520788833,861726327,425576946,979530741,510613406,720594566,310321596,956583474,494101360,376770167,554207238,163652832,841616294,479601613,445289903,460756313,651278764,260089093,418550995,810205865,607458122,68051061,122787525,15032864,171974333,164837819,135817560,549849463,860591915,985058759,731431423,845328505,649316358,655696606,516149255,400340771,570222442,101835787,701248939,623708383,41135621,834691327,632176658,493222814,492303667,721974127,42564899,350861288,444064019,777115211,447729494,887882589,162814527,999474066,474803404,938970225,851725742,406389649,895739627,883510460,370645896,402943003,142008340,374271157,881060257,767367315,712279512,169585643,443465409,952344895,18147897,473878804,910957927,969726135,726205910,707883447,666346795,865149077,314588759,955127310,675126942,606584698,394308403,818860085,719108336,987064001,293167942,716862135,790069509,905769792,101135263,558626298,483920242,71898047,485179965,671349501,338379884,889217245,485644164,158718715,960344787,783693503,397889478,177920134,542033800,639551144,60362644,113041492,824286354,355180559,405967206,288018128,445945803,658964388,152524404,24462017,337471900,726934085,847492246,375667478,889679198,553022296,238775891,901544127,109749661,249857380,756739796,936144445,541248972,273400073,663021685,266048833,467001448,393595694,651244972,926908417,953459916,245966606,73732725,341663846,920002033,393286558,995122119,300376709,681612563,26840062,332401999,973350042,241363291,507349121,925792734,986087368,976619557,120700027,485380648,724574420,175750878,993439378,800916707,338749246,163380591,354324647,658228255,136710616,265478894,687556131,721767918,545229729,427982245,620320854,980188277,522510613,740098820,295417353,686546365,481630821,220854830,91932881,750597199,132028708,525822682,921710281,826381031,467668014,39995814,79219639,403052468,934540197,278733391,923596976,592525938,3844893,889237422,720382942,129560179,231104794,347528158,221859511,936182827,476516911,919567884,954048593,159252776,197334372,576754303,70813980,481396828,734223885,777194298,58368406,355256537,772652529,91463885,994062646,491498704,113004168,592773323,316936286,151213079,853245740,809498772,65621737,96210704,49036298,341985836,947950559,875244682,634950609,180686362,932911576,784650427,234987620,931654461,217652304,409563734,61871313,658266461,629549832,443116736,388859108,427290164,69701452,19624430,471435224,884801236,7987131,238798725,246809907,496911254,914923662,486747605,844157057,282168547,248675186,772380752,295300289,853082088,263758674,953810444,512656679,866951921,286487598,969502742,248419962,282468796,147444791,249653517,616985649,624831431,736741700,159189623,314003419,655174823,746192185,724296133,12128643,841133102,226245560,786876980,64141815,703885288,988029482,18142346,738138154,579982892,862618956,675398442,701835202,156066985,717371276,632312788,611917778,490986665,189977440,770715405,437178031,687712618,451649299,516875209,411720212,384428840,813940984,979304981,119969192,975313794,873629996,391279044,221218259,485955293,129860099,468561635,445542316,574345663,798278779,131199884,669769981,676406813,604868722,175697173,612602652,754519506,550974244,953250262,819783275,169490696,435002682,966966300,674286818,786260457,509873681,406393624,737631832,786617766,750137490,132700767,833070189,924238021,544663698,519795231,748198038,979934841,192073724,102939696,390547133,284516253,925996942,810982734,407858554,451318572,893388931,614839506,859419979,708232161,336654736,234910586,578872103,54627546,515796046,697842418,475342264,246044352,752635613,798505224,455197032,541914707,261071406,637836414,324006265,477556778,442247095,832068790,304577561,287094493,38006731,139703421,415927745,904096712,458378919,368460277,505999790,85067500,696111893,388592504,371602308,307520716,277286837,736006256,699306234,469916597,289781300,799804452,531173545,407978254,732336731,31552611,629274578,267050515,910865546,475621371,935840211,19294628,201965469,663486530,842178375,685444938,23745387,797313410,372049931,3320803,104420113,494252265,730457665,726300039,248102615,622466295,881736859,926005860,813852204,436831283,41073660,320942616,743376675,30091682,303479249,677978647,787034976,814004496,977340319,700062598,36221809,308707608,24654941,983237234,48970984,654299643,2385295,212721773,589034532,479456894,396410001,567214026,875381561,317069615,169951466,942370119,990916608,8817489,741069973,918919123,982943047,251735521,602515639,476602326,754097760,482714934,264252977,429170052,813294456,328033832,242777162,866945426,56301512,444629781,477389179,19930827,966842113,188104378,875942035,501840049,835572367,180370734,129101971,166489097,795367834,9655902,45086712,188649818,803206373,366664427,143034251,120911432,821101141,215139967,594742451,834688684,978543140,391526900,318808462,571368481,494943092,170486649,869901991,658453335,623406587,880883091,316442507,558116148,263460483,545764650,591692380,773258286,761146194,57248156,359990116,121581922,610917225,891611945,237293293,947980241,380237009,535343464,169661874,321171388,17099054,994458996,569866670,104124269,124718375,998461248,902670097,361436608,690769560,958265839,630645286,954181449,649517221,648872379,547023700,218996889,307774800,232458503,482986000,988630002,245106886,29879467,299605663,439067642,877907429,70727263,279367861,793818050,81124321,68467523,53327588,413071046,661619883,712219664,674728613,545469219,477440399,919608718,753537527,934050195,523299316,894202803,951078872,454623677,883550177,712162987,552225882,608248322,334012064,908203442,581772573,410629444,708514722,488299135,66236443,623618873,675244066,739276086,334374288,580834139,174980409,829397920,544868460,16703424,766766061,770563674,158856929,476821237,899967469,255780072,426341180,393195751,587865815,387178875,165570731,328015432,890315047,907096419,914288664,470148963,277145768,271953210,812511572,677343547,271588143,508626617,108470586,129856229,846007255,257746920,100166556,296865223,341102109,791195992,392907290,520097549,503007855,403211688,512360103,214555251,697577856,373910980,421852954,29733759,521387947,479214403,761607429,855950516,426422661,493848270,904374771,683266792,739549722,529115287,847444581,73004856,432834399,941552481,119775527,511110274,185368137,604037835,758343891,98165346,776056038,682930519,764472097,281167544,218250015,766087530,862163922,684697962,796215388,300007338,176788642,228487868,73868741,560516347,830276261,868203771,981511708,987994354,140161136,970563054,805455578,107468165,122902818,76780220,995507337,220773746,777237425,472254127,235459162,648813331,360485370,335018818,966134608,365870590,72088263,805150800,402864694,406712520,47861663,519620210,543232356,509956485,450258044,180579663,816526479,709267654,490006716,782730084,558497015,701019669,164731528,905698694,125755150,707358254,161493098,866651966,134621630,835956430,651468190,86802180,568163761,694581702,190041316,767765517,807320289,29099281,529512387,561905725,988665337,666544048,686359443,708616218,413594247,711615588,716653080,869510411,108331946,767572178,587076933,604834744,664683878,51402312,597409409,625362612,461682866,580564241,444945864,56318889,766804850,31339973,992658818,937443956,18455009,891881577,232478788,399084105,641200581,119971652,313443033,488732894,765689100,587656900,512575488,532285431,906437268,565660850,149667215,788907951,861232972,652474946,271693875,934563114,310323445,42633596,663205809,298674961,396341214,847301211,204330892,959370727,728243320,738816696,276735195,899138696,347495506,153495828,145742280,661431126,77641978,65682782,328684049,896956027,973501700,278341013,280672451,599380659,416002098,545170440,433149244,972566835,232705656,920690218,9195413,615113394,346379756,426252055,801695908,613806497,640679609,499987447,652123510,429389895,527644338,842747821,27038529,73271257,955931099,224562708,255082175,194697175,554289215,246553791,978833998,582599456,448350407,188669559,100142060,165695173,16309107,241956740,770383886,81850387,299234955,783352574,755555925,690692156,763364743,462221633,348003656,595545206,209932817,767706171,586829392,902200589,168326429,440826272,26948819,474286735,606277106,192041928,276276290,941278520,573566632,594674364,575574341,261556376,609074977,133030782,477465850,32304201,891736518,917164505,214554856,792769468,735346652,377161604,216915459,456614453,837820422,748301689,362956523,360489106,820913361,973665722,756040304,805271238,320129081,470962397,679521033,835129928,698221121,259833283,369024957,710248694,947416742,601590273,571574914,314246255,445242177,425629637,96547061,592425610,229881491,772307373,13352854,505486391,134989591,900838409,606408212,966814433,601347432,849724531,23800206,933587491,448363321,637811961,36467374,873438455,628190895,314219479,188355757,831103592,948720402,493902341,82623145,183521353,213872440,319520210,356211593,721146792,670300893,491822119,940032416,545435154,711792543,86599415,5791478,914824450,576865337,154445351,25962632,850707168,509109639,934230093,369544171,841095951,168454809,503227548,857073328,96142939,756900291,591479882,959976418,47211807,759792772,369625070,316350347,68443346,917857382,944846085,468017950,125065115,638069641,362368148,964778570,724825279,998886641,406859663,553325868,124661499,348685200,739988933,568132908,941083340,279738696,427207410,377986050,733381607,272098064,157738757,563993307,781523541,372324339,621882197,151615741,952366718,410217978,133764769,583736117,4899903,908682844,315726690,623086644,120378304,735664158,252759573,260137449,17558576,460134103,72725763,717326037,415197094,619094523,280587480,557768944,495808751,492829344,624697527,59545569,619642655,41775134,945216137,747837719,250874711,828926786,664215706,422581737,846789749,772924607,202678665,117059832,722555567,423681278,499555250,964756652,987416808,951082983,61451191,712503984,277768930,435892128,67671465,90519598,789506405,726424973,990315714,418693607,481419628,386574538,365913115,152077832,913002917,312181499,882960144,748645831,721292638,479339701,162968245,9569496,476613599,447157754,182609620,740129334,435626536,202628586,153852103,794207581,910574347,645523200,952139871,14019365,32385652,56005649,176201331,766557718,508961502,116883353,114490290,382398502,490664488,516242729,366316975,26488627,144148090,772337008,599385572,24387163,89854708,826075318,196435878,100856973,265149476,120082648,890615199,518060734,484728118,320623160,96495710,996913444,115259936,710141844,200102571,353824047,616450215,715253019,250535163,258082047,599023430,134984487,7249814,81168566,355482630,852135909,894019930,520395261,404902109,212045947,979691881,725771919,993534394,451855329,213134336,243731385,91482568,623172482,945489394,69200266,296363227,166998238,333248900,541745564,281311193,742427405,60135478,807870860,442290085,502188907,872747780,655493548,690666950,663172538,950305579,577843682,628845510,116425860,889985609,515358663,758066793,584045831,183725996,814516656,585822108,45216530,213794778,57040644,505245658,988870404,625275291,369339931,147987922,868268010,964448856,415595307,475993656,934870525,809128520,580257411,94401227,616124914,271390294,267846973,876794053,30702833,876234501,862195502,574869949,586920883,795960868,395213765,38628067,237859644,506684255,722581233,234316083,86941125,486719209,471852786,821923836,372507836,483335221,552107799,735883449,523244922,291820164,567068652,178503115,78742732,359728407,797444090,37386779,223092313,658775502,173470144,236202877,455108832,103326227,831415993,736905180,954256216,444012473,973199674,528234103,804894672,344131964,813768082,617855544,569502809,777052727,521659617,734639309,541127290,73676218,145932442,143171368,243028298,254344358,268779634,603259863,267074874,237126282,870830496,101191599,794134589,562497629,530021364,933648051,942753826,131095463,824240284,336661281,618968571,957851182,798258240,447486926,264289619,864768147,712798542,77427014,212144231,108159636,423198020,509070271,761341620,523409975,368029029,836613132,824693484,635720939,239017893,221289700,338937996,744913973,627623016,137008381,799091563,376746283,448975808,100839280,912430853,557642206,262685327,338409515,998180690,86145317,114816944,216435742,814113972,749045255,594172991,295031850,728578613,506542026,930425756,433687981,492752762,286044816,939229800,543106034,689071047,659441431,14217295,327083185,132252782,751599842,201835502,29868650,442767796,985015996,48823628,451032584,649535374,252204583,340660834,331399751,49406561,210536446,619941464,193802230,680390985,521076606,125412635,588520937,61578719,676354060,112527171,503100298,911715741,748158561,687615614,339689030,86173501,573593261,750048331,44824764,845611724,638783524,749031765,769367190,364506738,855080780,614739017,596713189,54994085,801657006,584671554,246455586,447459785,115818144,865233401,665969081,903984213,907201348,201679276,672689267,835412211,807903946,867347529,595235976,687465728,291097765,95551614,816903468,98103287,416869663,555210215,33683403,227922089,911259617,218729912,40842416,736708424,542842549,388931221,428292693,379754884,550161546,719806630,62815301,957557848,551448831,655005248,7034062,158968714,741479874,472907896,577819782,106001796,35728285,97783812,694818145,762809340,352486073,240229910,416765937,212035958,667727162,274938265,952079237,583991898,889168835,239543209,173147497,752176436,966764392,755073796,202410833,732205544,335795044,802254318,709903449,10700403,841100562,227345146,998015340,195539651,19865059,648027380,868141370,463130334,952404914,299089166,611325583,318229114,745718386,756456470,237421845,484434087,898292338,531248401,510246415,465170292,930903442,679884345,778858337,429514742,302170465,465336870,740661827,258277466,410870500,234444489,599948760,167967878,39456731,273475036,265571046,951722449,989755561,87738585,739334084,522465546,80497830,633492470,660706008,982568106,806161734,302595290,592980614,829438808,727281228,459031483,351866656,637751656,632354962,491963354,479404817,592955202,252372617,198938148,699832601,912301011,557337485,559737489,738941054,46497039,373608975,569883517,625144444,887005264,476538598,868964485,142932574,717584444,247600193,226107425,879014722,394871140,452113704,314407174,866328671,478442278,908868246,244056878,499036145,639138088,899188439,85595018,908251180,430671770,784463609,135340560,925405980,554189708,614839973,98623911,424191459,828639732,687999714,263087269,612111624,62170023,458735542,313988852,455481778,229307008,803448926,428457023,966896919,980131731,975363439,513968875,58652100,421347268,139885209,634423271,310719717,746775789,874645638,30075029,72042090,40480006,879735905,687782508,9797314,554100302,329545630,117240473,297513074,30571485,854188861,639665886,149366480,211865488,933404872,958453592,489906280,332529741,911574021,917297746,896063092,875869363,393147352,837848807,312055475,156841406,814972653,517312267,652811148,19010216,82121968,753351591,569658983,443134036,448924687,333935207,166750815,193177947,27276368,25243300,570610895,580856634,438971005,695680425,430331175,493594351,597901673,988142445,225266888,229983047,340491805,51914092,926770460,651397424,795273419,23793987,687975789,567691368,988636930,760471495,535055057,886514485,261671115,599293699,434125138,728300104,64635795,767451362,429552841,613962242,514395697,824364202,554612623,220153189,311864507,172608243,874408674,801849240,567198534,69785850,480568484,926885742,623907383,817508725,475860620,331613442,616365059,536603547,46260663,373559083,169615981,382492249,336485641,58942635,101764902,711812804,230474301,658907560,767421946,634983980,988846150,695292005,876532995,621118,72670234,876278177,20669223,775410916,353910907,42019156,613412503,596377016,952925258,971097964,998094054,252581850,895912557,39064845,341572314,553745437,494186497,680468087,621471072,339319634,948587149,884340443,426181203,863019620,633246836,75703316,674286590,77521127,351606725,316636704,989353903,118767580,553128588,410761054,738487968,990897311,312504741,208330490,134563127,393687018,784605664,673760071,63300942,708509379,735573672,463714595,790873646,67039108,829151282,50318713,121997653,624787509,831286081,814131791,434374890,915984510,159998531,742930584,486530250,513954846,247343594,127145371,79754577,921305789,868363764,992098110,494757017,247877666,551737330,667599265,33945134,818176527,472567665,797686798,526998876,67931749,802041724,175619539,614645548,975230391,278111269,476623347,778714440,731322381,650571497,82379629,824392691,286916425,916393124,111583996,753535170,842051105,594110871,201398588,382944791,709273711,823649579,252516916,269701193,914395053,408618713,655583861,255708172,669998598,454207556,460427624,339041350,306819923,202769785,584084828,639416873,316955481,604763402,534084773,232422704,956314462,169283228,696376071,907044978,407708081,253736550,497960993,218599378,652822648,317839255,400283743,167956455,139006375,78937855,501195890,326070532,535046398,20827983,118246164,316388198,20204545,730607643,801862534,511133833,803519085,447338806,257532762,896672012,541784432,318280652,415780068,824027944,49832042,422205616,757374586,770207588,964651941,15706884,336917526,930090042,799921771,192049727,382710397,916255194,14396931,272083747,976578832,334292322,142703535,949943311,494653774,188989710,757072223,900369627,579590886,496428221,477264049,966868581,331038487,619550056,469346971,163784254,327803919,789965242,393774905,30091207,153076218,458908518,424829716,374801520,703595548,674443403,551212714,35734905,652639763,998856593,878741697,119364423,769768909,298231437,485298523,46213544,124388203,653037233,914217742,323491834,495979699,328833026,368163777,632551033,463531548,992047511,599078181,101572013,869729084,825621611,511979069,988296893,912749421,273402134,991542057,984102511,990823179,666141469,380135551,216157506,345985180,621222724,71294222,841778854,573602079,594532044,574101462,946822623,431736901,456649987,423357872,562194428,197735746,977866534,821646116,863689123,344543904,759134225,165641649,556776358,400729462,233521116,500763730,167122455,30102988,79847654,919288249,847893533,87366312,777436154,907668726,932947857,758034506,266130539,572813859,162219330,408531300,306876705,533853336,627971888,751592628,906043543,842377034,744894383,123986119,150295347,636926811,325595333,94515965,471945843,115066948,633160262,22781585,439863683,862771519,917058538,342449589,184612225,365063806,45462122,837033562,151506727,936114313,746177705,443210395,573177193,788809153,836725137,905044614,447155340,954154232,932732276,9371627,404851096,622554349,525877722,431740544,977631683,885269325,806518380,603496197,531723107,9837081,610561349,799762437,709969148,313855846,2904810,58412668,529993067,537447206,441153613,361134191,249231626,699035152,553953296,438823037,121089282,527108640,545637880,326763846,297606878,621995538,927477951,788461642,778914520,421504894,621214820,195694679,998231366,429371982,81355560,735249107,587590304,342342860,213002494,951912254,544241140,887853165,266005700,141734324,308440897,216448647,120620356,544746876,924252991,833138208,433372791,586856891,536811704,977871223,782617519,569495605,812217993,76836002,706755563,504325069,29857534,940165963,908748563,681124401,13537776,998537078,14616572,892020242,737717745,401858870,663986754,447337235,697049228,535789856,257358217,306458054,980798046,142532075,301705841,947626836,812255074,399079294,361375706,793745250,998381203,732834771,446179873,216511852,483519754,809967567,940082556,227796120,703588182,621374405,415223203,15309851,782336230,229215949,175674776,88029209,356350163,954037350,622356942,74697658,75019334,825927547,509778767,565767904,347406960,285972304,683843228,563774187,253205958,936535912,948736626,188633882,699395511,918190668,517260110,649066348,981239900,604386512,865993772,885080465,916248805,211962339,867500747,792725082,881952468,57924719,346017129,79778191,502672531,40144268,845714513,944502191,736687491,538971357,949853119,697475017,337574443,154956770,570418860,949203614,159467510,4348163,327378870,645108336,731145216,282388231,163905834,515990617,290529295,261285178,291380919,324592018,929928379,710614482,990207783,733413997,660203477,177571011,176193658,544914858,270376303,628815722,823592383,132397224,656549511,541682726,357375921,110743986,304068265,803275406,351943214,894280973,123224484,493216247,101189508,471727714,806190307,913724270,765354697,59288053,276384572,475126039,165318322,937518942,46552858,475594861,799885141,646174945,569411698,47813100,256430545,385065320,975659099,112021445,998687432,717651484,392522446,789755134,726934290,895211086,857627557,9757116,783849256,450050248,704588158,609220036,991464105,247497291,551188458,262436030,442345364,348182050,417223253,308702711,743604045,44628024,850068936,83998101,41241815,175474160,73977120,914624685,6662065,995592115,891748163,453994209,336523255,787820582,363394503,325393811,966012905,274266396,347007615,73440424,537670599,999962526,104880778,2263262,660908104,815838478,521990405,299194514,642804104,336056826,294299752,379300584,679566057,727246482,408553298,342071737,289301157,822799867,263907376,385594551,673527499,59963075,775029495,610764705,236623920,122066806,539180748,266588644,296294474,868915461,522681557,653098169,716539843,26884130,897919810,385035821,33871892,700000224,179060253,551438258,333396048,758791743,773330441,94775593,626832982,979167419,905687822,911209463,740457632,310342507,636931607,365596614,198524105,482426769,316916162,461356382,85713197,647276840,794712778,322252099,102963336,260607522,272102551,530558160,429464763,249965852,838120264,357978690,120394417,100934847,141977463,775967456,238223721,673022050,902228875,282419461,993137605,591200216,520914476,212965891,672970947,826970564,822361632,221811799,60867459,35879465,144445067,665945637,824535757,904795392,56827575,512093052,858242151,199082548,95421507,7604598,924314870,670905459,494760159,969102054,436100455,278442450,719098209,627379347,860363093,505217770,585266289,48901642,651570231,574887580,497724225,295056994,625281332,763214353,526113518,493462081,500783403,7380188,516686433,654082684,232478565,536880745,32946854,938812419,91988443,433200789,926269433,365050355,603669068,674937127,456125805,774863412,112924536,908604336,606909129,864107767,363509194,950265010,577097277,121347385,491441241,885139052,191393057,290860749,389230422,383296421,524993340,262066211,164805308,345397323,766637567,640571987,946069399,557658815,529214534,930337882,610127947,474884280,529133186,412290798,577933783,867770309,829476217,752869366,317434265,296146626,216576571,934206665,61840612,433313452,57555154,290923535,723702465,861401249,619380029,37266937,999945974,205117262,814668301,65962453,294482408,851239784,445969286,195979911,576357739,268163146,675019956,92468295,101839753,379043137,969425842,155087733,39890188,190733096,429444002,889581232,298256314,265737457,628621920,426273826,219673629,435359748,120389728,723506435,29955146,121970474,344876566,904212756,330602141,477798785,338095489,579895568,461779643,527008732,603938451,615699519,257556584,128551897,283747501,780227780,939482961,751480001,693394938,194738761,316396472,743795521,238868172,411702938,862261411,340067188,515347104,7868459,207054267,326309556,631602162,795802174,548929678,691317476,976306722,912310289,880957076,528286057,697662004,661030073,421671625,440783248,973169089,31154416,884420454,44422038,507172067,320945736,277309780,822812961,76031001,988030087,146002740,829527520,575155089,622468779,354709472,703026803,188791123,646693466,885742776,842238450,963795453,335025496,962891977,633113341,474482663,602091461,649570989,601505421,468563659,773917442,90932385,987429583,325036267,538366632,855396617,344069076,162630964,441433585,138778146,503155617,186023483,818611488,24882420,775630894,951919492,581685848,866037475,8222523,659939948,600100840,744008434,57314226,377795183,201347028,598739723,288854066,861616264,556400076,300954403,926169314,196285537,299244535,669014182,200728590,701274503,325073775,424900540,309351584,842480376,742630092,401013440,650535564,312325646,46883374,304126363,467722805,262803869,829526193,558340558,752643345,886287114,341786382,308685259,418864648,864777595,158318935,577173578,614064098,567803707,363683240,448326929,807348650,48824313,128706845,94044744,964075001,686042634,107885492,146530764,515005149,697951141,577231264,275014522,943345330,595703181,116186694,720712360,505938026,932191609,552127097,887221975,251744724,798329662,554314742,543179133,374724400,584467219,171324405,988839201,858881393,128792746,984855276,361175406,205946238,661811521,521280013,46046509,586719663,322751979,316005239,511830849,496416236,44903034,100034339,608373718,987470108,308004240,466302635,244582275,846908265,152121075,532444522,968498498,192320175,816865199,700948214,405641652,138962379,640808304,476131381,211048547,898388869,505608902,951190949,744349555,409669444,536241740,349302028,934638659,733478300,816422062,255314406,305183359,469967434,584417628,375580504,351875373,621290676,466090347,329151733,301272069,356626078,243581228,46474241,268738537,910714901,972411838,853574537,891620869,794726119,778042819,706436239,999893088,335413817,630716382,777751535,67504002,646968821,509810979,145051967,198143813,299130464,966003791,500437693,531346814,9095025,403442875,908607921,816427002,80234679,636873191,395114439,996712557,914612256,783801107,244708808,630687777,368167630,430735198,925187779,556591242,439313666,423406691,880023823,907763799,931320426,41502375,330783498,242340864,259789146,924459431,120180975,132298346,758962247,776150232,823084983,979937981,117218493,646898732,159388587,205855922,662686147,730204053,155304673,281303071,728786261,122368047,750060946,996177393,754260594,764784496,512992701,459371687,369591242,16429765,639279321,483221266,784185372,179980871,76551349,236117682,51167154,423600505,70127848,227620690,571771040,890196712,162145624,890404022,573864871,948561078,949531891,684640896,508271051,491826622,202107732,292391393,193975250,9688551,946809053,996012755,955849646,200998541,117165542,725303362,951328301,926042353,844629342,347643881,709503773,261274111,972294672,301831942,819137864,114390360,679134705,587800048,200575675,280944192,379890579,198880563,71733027,768552942,433581567,853550796,730211351,564513738,914307305,512919916,809113753,102058867,464610736,133439466,426057798,112674196,254881509,104558959,444093905,223719383,258401783,829068545,958120402,590877388,952671119,674030786,397969712,88393213,937731673,825626555,244026413,81970136,126801888,141658856,846882485,254784116,269367007,708752573,331963865,487012379,229791063,276807277,808892353,335935366,126984757,189540605,630305276,719472575,479297619,764363284,383701432,853951094,384134493,468737198,293041109,133907917,302358778,862845657,655312234,898737803,864869454,979373565,869733426,347863916,186622039,179948599,273788732,328247509,684441023,27536708,536609665,235150803,281343365,449347099,899992242,383504418,916332296,414381643,711852211,818255577,795459000,558810207,91453988,307805002,760306447,614219996,986245412,89788531,963548689,284983093,357710470,670822566,960527339,673433430,184080195,28706462,848785007,786951985,942359929,373813170,176083000,747555056,917152951,558619624,867835155,49445315,474492463,185858460,745607909,987711307,473206161,834600829,599192091,260169186,571446608,454371450,360634942,930971379,685105858,931527682,466253603,220563614,904368823,356491369,339123918,11590112,520866149,892087893,932151448,465571606,313051679,339180266,655598921,325298725,472848117,693397161,573393098,40803024,981647383,316765408,160613154,448357372,110726204,812907220,442566595,499945298,549810817,296073851,483464995,429852500,200975160,942926542,65512780,61682469,200410085,805389312,676951846,574754225,970995728,175232495,641782401,349699644,33113914,127680819,899392286,499111141,184560141,407876207,177919454,532040203,638616495,760916291,89567926,686649696,388523889,880371497,746158107,898755274,474200036,433594996,448039330,434532142,683665212,213416386,14770207,178692637,32955345,997086284,180545985,669358094,722900654,774868401,146200078,644682317,608021214,639261841,891453276,907346125,115672460,603875654,126401535,515709779,725197133,251711149,460015393,837374226,540394168,563536773,594257138,381390216,800713957,948750633,224597307,562612093,900714731,577536565,775334477,496271536,779937943,824031573,985710829,774577672,580453545,930933034,964899974,957486579,348644346,106751229,372472995,498155929,301831788,493275046,223176076,303733242,587459583,72538438,88108571,860288060,943730712,414322004,383851439,105507437,924703607,476928863,335207815,751599984,398881906,820037180,226423489,109769980,225183235,7510609,493603851,20818182,459589723,63967919,829416194,456065516,319775424,916596184,80775903,342170370,718074746,453314450,203331104,743259625,146520989,379532292,429685068,903216804,835734528,480631810,361576658,114222345,634998956,842197003,314120652,73351497,669659400,33138327,907967642,880264730,325636008,351588867,468341460,721589784,962645248,944057095,415261285,93011792,267087743,47504325,55635869,157347880,876507645,538309208,503345258,488407800,772503427,556806696,394174102,167281642,38300404,362482370,965701445,234032091,440952598,162519051,243419741,338950250,522907696,485347379,22030732,480092950,169837961,278200380,982915796,192179024,101022271,871075844,839773629,253567688,664189943,897680628,345314274,732923457,300142525,141445961,171391605,432539172,940183940,406248492,905855744,885824398,983900557,294501097,233490441,106682274,986930458,804245219,778876140,405333679,957923932,12627900,512547798,107034755,411433157,291370035,374334112,232334404,115173286,473845712,413598306,246427085,918245175,870779056,419553169,9637858,620719134,402555285,288019153,949368080,643528325,393197897,570700346,913805497,901665050,535941385,354272840,385144211,578613601,501783055,332325156,397630934,826677188,894738546,753112005,554622592,591506075,262518660,402862310,149320576,648205435,240484205,623614958,956759,28978243,734653429,33951269,251184323,945940313,745742709,228990934,709995649,584895007,440373819,505810472,411241849,290662110,867375381,512759113,754421566,649828589,451777076,456049785,997255661,659162259,303213048,346219442,936533231,155696059,278926893,104395473,218397311,144347285,82440190,31228560,575898199,428273143,192590451,559820336,4524835,328810434,459390459,953963109,818566814,456491595,634928204,99213155,210054591,65268131,492083463,347704744,162664362,38135234,365431433,95652145,443585161,427487884,16972371,786863001,973273821,86132459,539593950,706696334,740968913,220019572,224158686,586913077,946593289,616609014,424087649,309606148,645864362,956553802,758258911,744791088,707060966,939454561,824359975,229511067,736631727,453399259,485630696,994400677,800746011,136063916,116429468,982803641,852817174,773579699,603267672,62353682,769434452,451864163,237323500,288033106,214740784,23778730,368354322,439529830,413826866,283051423,887922426,227894951,456746503,828174635,750747191,797301883,744931712,469438295,839324976,550673841,765410721,222904323,928852868,101439511,138616124,441513266,863597769,923754080,809248316,792583797,438777917,882003076,12383022,985995389,589100272,706847259,192986930,585250660,60974627,273523005,544537639,869237049,877686435,838325825,432334278,471180292,69516572,973867021,809470208,144711961,695050529,518228268,481984880,692748925,357709150,263043402,41959125,3673690,338075077,653814499,908381256,63766058,678585867,32881082,396442997,214123092,509130154,71021360,551115515,338175236,407384282,519335920,180838408,250061924,487716942,418809091,785184787,754487141,878065226,656901520,99570017,591685584,19384271,647025491,558503077,236785484,975960236,163342764,816731612,828576397,794819881,242034283,92656297,936724249,11188483,619209370,585756045,139856579,469725331,647299167,310926146,35984821,95450477,170994922,374528157,854669375,100562404,303940837,212169961,881905693,138007409,154899066,969403085,479001959,511446608,629538684,989823997,610613555,20302803,37374689,111484,106681231,120298873,551267313,890430887,685014522,771145679,746486722,511300100,760574193,613429134,577989957,467199329,783653173,890627603,654615495,563918791,83894190,626342461,285094555,96042460,27864217,428316064,441057933,469298965,141791515,805725266,538963550,980736494,509404908,107182979,216073108,18085328,909518642,910982829,934337810,868758929,483057252,753049224,265669793,373145605,346030726,664694641,410315037,722417144,29028000,913695596,742227391,625730942,320585017,855107648,258932102,503036504,964666492,983024938,906815256,718739026,895378799,967516723,319469974,402059932,484265247,731948967,151349203,239607910,611620607,180690111,256279438,350662129,928337979,668481331,866253360,423607482,155112116,685954817,15961419,118185450,520641552,883224126,942851999,282510936,453438375,140146553,404971737,192997895,387236925,561024956,822045030,84559724,174938114,825245152,902967801,337659513,950323200,603534677,388306935,161295275,83705265,527057831,282508724,469210199,99444186,78106007,932356417,581623674,84972587,519529387,405204119,215962122,518943235,868294453,693760618,81617677,373507852,433741536,550211568,66325196,662602846,168893434,186150762,454159184,543786900,381018404,447428891,180943298,323028342,824572871,48087530,4041115,835657668,379031206,535487426,572321696,787891603,828313379,221003404,546750926,844110848,921698520,807974081,281769580,380828596,107529146,248145706,941672405,105675451,168579581,639908241,337423542,510999448,766600785,74598361,29772592,969034754,900408292,868018875,709512226,840984500,127361101,488292551,847323567,312605352,52920403,664820652,404698069,65559752,385355,781262270,233293449,217931486,510744480,283517660,695713805,586121658,167044836,643961113,779892297,475880970,369435405,98346529,266794466,139207491,182131117,943246716,887590586,564348081,855254935,916656643,845907037,869934314,83359410,314925660,440319668,75232889,962462446,188567680,285001048,632872821,149944333,324494869,770383758,399310968,205586928,620046928,999816940,821034036,835556709,261018604,943661116,812888539,909443014,515415778,239186246,443295227,481025451,457991731,187620935,279909635,482396294,735222838,886284258,159178042,464343895,373625199,952200529,886530016,544682511,657693248,40949182,498823426,540097320,299089404,623635578,942559829,539148567,745770602,736064400,31409722,324103728,184967840,887001382,516675991,374356030,607249824,901797089,143830647,793822378,816705252,197830547,424313198,30662655,728309554,468193723,443376954,152843416,643271475,187128369,889654980,141316799,180574618,625416766,679064611,276065694,252128816,813365268,905790272,78046352,625407819,881502513,720697440,740471522,500994819,962506057,463246226,259210732,897712089,450611239,296391332,285871129,233836985,918812342,789097542,794002719,873259806,568851200,215067212,346257563,725064087,219819599,138043784,317352544,210146821,848060272,98191799,786606833,289467092,879940718,540864034,725715929,431796735,478361003,842579301,74619812,654010736,73818507,334486117,547421186,737397761,943226089,432115610,764071484,427936261,601014662,385241719,932856614,179539951,923426822,890000824,208511376,758894001,499247916,826439857,90724516,632807689,943563036,440108846,44466215,851929862,302955264,350848222,983541693,25852741,320500929,854136556,849208165,565795791,908259227,850552278,625248662,207389102,212311190,279883836,157445467,553245306,973262023,719630997,537940937,956502371,165662878,659622627,739455545,651808265,686737826,827173670,10646118,223282059,887432599,382717063,420939650,211703307,960193676,29182685,177481379,406309164,69171081,335248685,159770546,821363757,378933276,548792244,306798285,392800350,3415155,484622652,634203531,963762907,342731699,140757167,321845613,552813437,504499998,485566445,242650998,908138558,872478312,646822273,103356537,640008683,803661053,919897837,730236977,698425521,366790674,149090197,381950241,751537147,451504827,51591510,412499357,357581900,542007745,959626226,693147009,684088458,159076305,765512152,315526310,764233498,346161901,774931619,123577330,816129347,362258951,885615975,425392270,753775864,330673839,228959824,124750301,73948140,965055846,216045769,859936349,112241228,216629984,218651528,934680372,964550102,550205531,635455664,10826565,316822579,832011397,329422407,738084832,868164283,473304304,55139091,126530446,765748341,650457680,146804118,775193842,425583566,66130081,285260183,257927680,662739304,578669180,524749312,464228772,906891193,138302148,432890432,976821123,875932781,913029847,588598550,374745406,739259964,234710113,74242097,758064999,225144272,258822070,731888554,276182208,481663,171612522,475734731,676238164,497200615,188417949,48750591,346892951,497798124,823798005,665491607,140597116,297469192,606771638,773854247,452086140,135145672,655815076,31516481,705431320,436269735,543822912,799271577,771749899,638332289,318336113,19792365,724496710,640554290,88031510,591493894,28986709,344201802,190381399,221580249,690509037,995490915,206879071,136917626,718918879,767092938,971649683,489498731,15217403,107126973,509694951,83721928,278826452,475355152,265190484,345998654,372325832,157422157,460567879,137243321,968519594,787734447,230528204,683530338,616058098,481586347,490893911,519372057,997693769,200264875,867911398,508570119,911576711,741284537,818327003,966748078,888758459,652642237,945858032,643453759,195954827,578619919,291036248,303776102,520032297,191479995,256845575,245590228,166545644,579450701,728836332,524726139,213827572,377862260,945511166,714730388,216195641,511775510,295666908,417390177,162903784,370867966,125792579,542567010,697064120,840710493,237041737,796340976,348931999,370802128,339099403,497031755,523851224,936795511,980713312,711338813,646738591,863650852,819064894,551834460,97393050,774765278,670666139,641892619,455379206,500367268,541260103,409289671,635495484,152144607,144094972,46144532,64894730,952222174,695479096,615046588,459421338,968038835,160700762,397968790,201713922,382271744,802160603,162480224,981819591,796827513,509068175,187690956,929540408,143597032,263719544,662900280,774503175,2511668,193794609,597743804,986347708,307297914,260291141,364572527,664821293,793052424,487938072,878052011,423317114,540380751,77458367,484878688,762746284,361788663,334249125,857057415,164960640,151974975,212916530,341411897,478273541,532080770,238672134,21437701,20778577,431355859,978845506,997913623,543011957,729437047,67232101,992537111,322581,53650895,384481388,772541033,861112930,267629437,84874302,332530942,16618120,178242003,226556030,452903819,990702449,196120781,33047363,580587519,473816472,947888756,642789835,387218472,11046640,67282525,511436792,841158975,827198736,56478137,986160387,146671634,638153048,241604039,444977667,495600302,303515284,712833984,39037837,924378109,940110936,113672216,750908380,813432306,7687789,907144305,997399565,9521168,41694169,54519867,751886420,882462859,803918335,80042205,847437872,222010175,237794818,122647403,443873879,3408675,433483675,217706344,908280324,98854797,333083058,208213998,712808245,834079164,854321194,937494778,557305938,634225098,791297447,600809000,619803351,702134741,514687422,239138122,643537532,3520838,334952869,22433046,434550830,709460242,473927501,120137421,782390382,524935317,762386224,318095428,393307515,497240382,371750244,400366993,114886291,802914477,237479803,38561453,594920806,513068580,930001757,122879035,154006426,975515795,541632970,837907107,164158687,63025557,715329371,204730972,95383368,701570975,833413367,958833915,693739048,990860365,156880505,436562665,95332313,969223630,36756213,844944062,240108686,123083587,245965468,304097556,368349761,459164940,612146038,666439939,761827239,670945061,57647766,454227310,872977970,705780064,398330566,860288566,833513829,201130986,740839057,524273373,997251916,90900843,363776532,326172038,873490968,439016613,3506729,239331285,256669165,195957197,965428450,897800018,45281606,102474137,232637103,690090523,180207064,272930748,519323407,215165560,996778675,695228924,167963347,244130806,840687714,389744981,138666504,153716634,556801424,612907645,476495685,42628675,796983869,649838281,809312665,367149516,441827360,438236725,827293471,960357214,15244259,836539744,576737031,31434165,583677972,606643246,86348705,108408604,151508120,764753334,715430436,4023955,168141446,237134570,569847630,861256391,171771794,16568653,438501535,255226752,882218582,398110799,781630402,239286141,678089546,152348159,503556788,876505302,92076635,896398648,904479584,381775026,494378092,354373604,227725219,588581029,359873067,289066859,202632123,200447503,264817577,717139943,421225732,280169858,351419750,612099529,473715386,715355776,294307837,500083296,299463352,267426474,544473953,674690350,612828473,957807126,603953371,185051817,507999906,488677133,870569043,747000079,317061641,498252412,458217621,172675463,728734482,930472692,411969580,573349978,321795093,119710374,30209609,828336612,78920045,811685779,762036202,627809748,521772148,585018849,29848120,59377096,112790477,322736647,389779569,256966907,448516110,615975709,415768444,726215486,461937850,282286704,532087778,34729749,461612622,370487634,423242392,647190433,556310873,414479283,72859791,364334537,849848944,362069673,249984666,705705374,20569494,644976454,636622581,827841510,67506547,96904547,154159303,903034340,309417401,265011327,610126920,240200456,358827606,926888278,945673876,167347741,787468239,429011352,288476324,627529438,992500895,239659468,370989655,350265956,709626414,959890715,828199681,447855945,538075272,729634203,274160063,482312353,40124601,965876055,558153421,714403400,250803,731059651,426381554,718323955,671620279,707970756,21814242,255283024,699474218,752336466,442053974,855338582,939795584,779526692,676353892,794577511,391808851,205621794,827901193,599110133,666041049,770834355,962315824,91485336,504616004,148066201,33782550,536067487,623428966,303494962,184800065,405915617,157877571,231577774,323987864,183629563,973600649,292666857,225264525,825434768,54556506,268515877,900383770,168290070,142275863,711626073,488077359,860885160,549792634,834950347,126135747,681950630,104495500,716383853,573911300,423050175,541825376,592316022,183496340,603926938,859095629,715868794,514109080,819562819,406405271,328060328,849933958,199202522,904941443,383635923,412711292,527678034,59766748,18896051,174013298,681568182,452755227,134189515,745488804,538177288,633031707,98372843,803463941,59542836,340848637,625958309,624260177,921999376,230863392,152650805,153839661,444059695,174093160,657211147,706669315,323078822,299356702,443353783,621446412,576184872,940950696,470347029,452484204,242673335,841446402,998865205,90022035,753287285,361109424,36847808,953983374,741314138,476219308,11430775,482161456,401329830,914199739,475017406,426405968,774612780,740112994,843458349,421746210,759108284,388177341,204412770,19321555,833664872,143623525,459862660,843919246,606651603,726191843,170815896,541978634,446098204,106543130,972917342,462851890,44816652,732726231,398648163,736550128,983438018,139103721,464439495,394665080,864607725,180802816,504430644,56876585,912952801,206876573,619430513,492301500,695744542,277648261,151432811,294753054,968502952,230056627,597998906,352662216,506819389,409143513,68459998,225232397,449317130,655800521,217198021,580829415,492108965,232401033,298071388,721049902,727462509,269251325,834905796,706227093,740917735,619971918,463728532,806616163,126024592,209162145,829442995,11141978,226020920,614599233,424361225,514379048,713797062,437901165,551934613,579568325,144635364,24178776,642500208,408003213,921262156,439674434,662379538,193288788,232767144,300589284,946114542,998097463,577599705,678589459,919083724,747086029,269415055,816935949,624567909,134129825,573073253,96839922,147939888,340282870,631847011,84301830,562531405,440195255,726370579,539077479,361241859,752395211,280879654,227419212,758984309,81252188,4592720,308064217,349785783,667702104,536935357,998274906,88571058,839222717,630508260,871840607,418011747,593007949,214298431,614336128,933426357,56199947,877123047,45672697,827101132,50978609,330712754,432150117,276933332,107806451,854841754,669025140,245242051,850849499,991267768,103884825,900898901,38123943,927082864,468342852,546109849,690296523,868814925,927664100,843522362,334841636,81308075,329299851,287550330,917888401,26052388,288170655,727401143,501510774,480787578,297373666,65616362,108281519,670956908,611313140,846235704,78597346,490527425,718659548,710863898,403995710,712422685,634403296,237980497,12129642,627458823,768134362,873628120,398439527,393541014,719254625,713860586,33667179,269107857,927252095,939068176,100266354,216551931,129838066,637742463,754290702,723523514,696226679,951295837,154791144,755024649,113887690,738170953,784568820,528904013,291610,816971188,194047263,585836095,565827191,171948430,513781878,960178440,526950236,904948850,955963026,293207584,148363490,548193591,431321675,651085235,987569093,766292475,594914792,985276825,199311007,270694271,577631047,806309201,609021765,187740520,630087413,619072243,65472133,485126234,977232734,527854248,297025073,915028909,587696780,363638467,327981648,891906094,823199777,665341537,139679637,988352729,485612791,959266370,545907416,97328431,480039668,694002118,472311612,819275071,845296487,961149331,905241631,224721017,607370566,452651592,707340421,734416549,353196610,175799124,565304467,776705890,622354906,52008553,345861413,884121631,626696935,288447307,529550784,202945508,463128770,817584974,937409350,993179338,36631831,419732093,645592214,243679158,758497205,260072493,311164894,25622847,190555793,341920582,5771993,159306481,646153389,9772634,595480153,447506803,367268463,704834586,294490741,312451815,704202506,342923381,802253559,402767444,408627536,267300576,834038202,899415144,392984628,12659508,677806340,176114410,443879127,549994677,353997008,968305020,768813564,939641866,264499154,874729514,713198813,771508389,721965802,263276098,880052711,668186158,811557380,871473264,133252462,217306531,104473418,780804921,824586166,90445234,231840629,894075040,141247145,375451054,793738411,684236779,759982950,334520900,961608059,20650361,289890525,750173857,529795314,743688718,924390626,135586476,987962716,385766820,251212078,94405084,845209202,185137729,667611789,200671226,902097521,953443611,770612825,672675809,666342739,700315748,349776204,975353830,844227349,194272274,260852543,883268330,3087460,490844956,497376495,375587545,138987618,971117327,912227254,385307814,122311578,792969054,29605743,948978891,598010924,233861338,706918513,348945528,760361236,873632841,106260333,642526456,926186765,554889744,821129553,181448619,654431427,671238684,268009171,78583860,868617748,637385269,211903362,245768609,913289510,321385312,75632056,985428388,820124530,640759249,294473778,276355825,339649970,497038784,823371652,561944781,895200539,122510535,185085794,889785909,444681759,244429764,166988775,285086786,255317677,536551670,506784088,524897521,837610777,177901203,402121300,226453832,627992325,959198545,902842853,602444148,124772937,900692448,915150662,85259111,988896297,145523351,523819479,787983287,677741603,500136795,216569928,630149401,190868911,340556524,391681892,358360493,670689000,758528298,933376698,611506226,785766084,467661105,780540985,258732724,975589452,337650607,677611597,749156413,331798059,244933897,384964219,286134622,247925378,160841612,119504825,889087050,203204250,506205801,952404243,556006924,806195593,29498443,934668622,153584505,459464808,429939958,825858677,154162556,274113066,157309324,457641031,507794992,414018289,316719634,927779932,796787552,862704230,259455048,700721678,760763788,925922469,233983021,480235967,859330150,541928425,457076844,217477603,182376866,167458664,651885565,259515430,312150197,136131471,105707584,74445052,389117370,198570290,959372485,334021675,257176348,206389356,370286068,476429840,784585221,490810774,315533500,39007488,21372059,819780243,701338273,706666206,978920300,523358694,449932413,463888583,678272181,429590334,803520103,128892584,641224927,590409069,964836570,497370158,1531928,461032252,397823718,499917209,294269993,915139640,291570241,72649711,485121771,870010079,944909906,216509843,684769435,542591338,738332981,957501659,575363647,96601073,843237124,563023755,686232703,810856437,746347194,870180112,785401817,305308123,741140145,23137222,235475733,798097601,868239919,614055460,676650125,63040690,302990777,240096069,764909441,528419167,815054050,46556615,498097698,927160037,109148545,18170197,317300377,429493522,763514103,724928803,1196692,30087722,45619229,73596419,340634531,409742254,940692145,934178284,637438399,146879439,488973863,234686476,424289465,893567029,243667400,910403637,194339203,495352240,151648319,679225710,51461236,383462708,764442024,480331617,329837212,593954139,312029485,400473575,575683531,456859984,181532211,419545271,98804929,221314440,479400834,763563887,475524308,982161533,887237046,521862510,726504210,158759895,719900659,755166647,150212359,404908107,182289426,979145023,150005170,878837127,969179689,552807604,757107015,936903135,548544522,346326438,892282418,608655858,198071643,834797663,676314631,38909999,359606294,736043481,117362746,992250188,847294020,908349298,269963764,961214643,881234001,982178649,681700226,445923526,365057293,684085046,87131557,438873612,88421825,297116750,255387262,25224511,42310230,745038745,325510975,385552018,511494316,323470473,198487374,824181929,768679988,882415838,86649850,335677580,646623620,538150873,231630096,344243017,488154287,829045186,428131970,838017623,478775900,340548872,703697622,509726997,687474952,176699905,940124018,261482544,843779601,303621301,265725456,923135725,900875240,518634076,880258834,514910023,763262304,336969130,983055828,534824600,761602537,400290907,524265535,737720898,869645423,488627752,808424780,19392403,830368431,410258625,156173590,510024560,338004364,46749427,377094781,804837771,794696588,164527649,509962595,829024462,606114351,335660379,426985391,19821973,216146470,506187293,339275088,863421012,124207006,933999683,752119663,105338798,254732127,710385603,363092348,899777028,667585509,485766506,781586108,351183066,308292772,505503846,340225972,673708386,7158612,141523531,465158975,399512018,512842316,323125273,193652854,775698477,883831647,393931034,237801707,250796125,138169071,187641416,299939151,884673926,178197373,358049468,381032163,933305291,88281144,101264195,777417155,593578951,260660146,582018444,760656035,943537397,12001544,320608136,769070543,889934233,662195088,741166051,866511916,553534179,367113192,897238975,537930329,178787248,210750799,592725743,218709097,859166062,201798002,921923687,352561106,181873397,727290129,806686792,163176350,184324269,341428688,207035389,392558662,500737005,507814990,971124299,943470302,300855624,238101418,46898614,378504515,618926896,415587027,821431988,823805933,941937820,32695919,31220897,525565073,719916239,388518827,447053825,969654714,489388655,816100610,96157383,598018892,686763320,681220531,236493932,450298104,454446822,882544706,2184580,482449492,613485190,56680818,901921009,695651245,967086460,414851871,265847347,513136252,659758699,793356501,396071843,649899026,710838212,272496802,784309410,991958123,677397503,292686549,921666563,459075608,657926987,428916851,717063118,756350529,565007111,993151195,308749825,968151960,812514841,281177816,570311021,521893392,443742139,602832119,287792156,846798577,507803348,224945140,107072485,699416888,899967972,133189502,188175927,10317279,558958526,178093726,782718034,870288300,350123673,108890710,92602424,969323704,840496855,362624412,564939621,386195656,878566418,430255040,809939398,693062761,232924377,902403372,624279553,845750012,660725448,770506908,64324204,22097484,301790316,568914621,487177252,94505525,310258480,382035035,391225282,312270221,805633867,67561712,619669360,534028715,616950563,140101863,241008180,637010674,335729517,996787366,274752744,921145273,471744384,986402916,33854932,98461833,403539508,920217107,133583142,171902556,145562594,441209568,253583945,962918199,114819730,539691007,578989338,251031202,699355724,955391500,293028296,547124210,575856123,711952531,657794329,574700085,989606431,463254736,232196309,524857906,611798441,697236244,573217513,535190536,375136800,596621056,193665758,302333023,302827687,999156534,931583175,252763407,864257161,519163794,522227062,498259433,953123117,371213918,739067371,136296411,680456311,779242219,832819987,875169533,449322174,805914335,533342490,923774719,439712044,660246836,771710892,876963060,428545891,494280349,206615534,735466469,864525689,639172869,234050181,767663883,962284922,694343702,793516362,63101434,986738060,245882835,339608496,727092888,946959561,880128553,385268702,754015252,973215230,418388441,295437934,708464610,202984511,384608875,524495035,755720880,451215737,44487968,941042677,702972939,801913900,739287335,507818071,432605085,704423196,224999080,910997438,919004918,313882108,194134289,289804132,475817359,158881094,271811615,429346133,507514234,839477534,114138735,156253619,106952738,866898965,491656682,841763431,53083846,237313348,286710885,501396506,320323725,576803032,248316792,674126489,203290633,822038831,142231435,457428592,220727245,614846505,832152350,132822107,752280863,908144494,562908402,520160267,933640199,552535615,489899414,538378370,290652021,440136959,797661172,359170758,772893400,789982466,748859392,516427280,809986041,707361616,877296173,596259609,787855778,304013630,625611804,157595480,309032470,306562379,430177472,781159996,2468366,786700442,686135978,86202824,327442476,763896097,630837987,850497469,602116329,873807354,366267822,568427563,817780463,134084991,579407877,960864464,268253078,691421547,958034437,227656136,884222464,845920626,202505737,442317243,707828323,149678704,946856519,56502003,66743645,460538741,627627542,621429327,891738558,328059983,864597190,747301513,126077976,69015972,313913270,444437967,417840101,818676963,293727103,590896697,917259434,816353462,70840412,642064635,256942289,595982405,605409896,61587437,259553150,902829297,101952619,769822090,16180367,636529556,955698041,58950526,182632206,328564675,978800927,800254557,346699982,444345176,684116202,208158351,461213067,693023530,881254477,450576564,812498730,98590486,726195113,678910040,473726182,848654306,640612187,864458680,433350358,455309845,8208978,570530770,97081690,752924232,250382933,218873311,3167425,656047618,565843405,901900674,686283278,972490329,778798917,136308616,140848032,29186429,796864836,562078293,323055822,443715424,301399864,743353120,549396532,548481754,133199080,139758880,621295534,278255903,632019006,648065950,256376980,284271467,857694755,221375432,121127030,344937497,605671601,815275569,271541525,770223756,50648289,384253898,773245990,768460485,831134796,168930833,317996544,185764172,301151515,698796045,599618427,600279965,306139114,634655004,246806316,401018708,746412544,280677869,731363854,249026939,426738151,103958289,266170496,127293634,162425132,256130121,467419007,707731754,823601598,553574267,10428396,94682467,188794446,355071358,340356179,725455964,129678940,927231263,678286687,166394166,545224317,583301333,789049045,229023902,267022287,710831115,755301862,660647578,860168571,69984864,989608494,67990787,940028394,569225861,852082705,879739340,376214506,462957084,442581946,550050477,355857769,687042904,726205451,690562040,591401044,425518401,749264716,684985116,712014848,449294737,68791900,588433386,417315191,669379953,786352226,815707415,295222546,708970220,208306560,737855962,986968543,673456193,257868898,873949600,911951939,979694863,425896048,264785131,291363692,420918073,402838751,690683222,315991678,443762642,908940914,879470465,816640663,811530116,922743394,651108039,296377693,785236580,977441649,729853947,637013106,246908316,399690806,332898731,5516287,965745707,991445223,490780916,508371935,486705529,50283808,964090869,329963834,511473772,578851164,477852881,290392837,698044691,802788431,453048344,915929754,940772047,828797797,673015586,511589514,636968409,564721310,409646720,915640474,981251943,437934021,484811579,101592827,784205906,361816702,613072699,473147451,208646459,277111706,133111685,910246242,803305232,946066488,694896171,115314728,412712512,796011551,669934035,813252097,786842028,76782267,231588801,305194540,193805965,495175629,450397788,996771939,259928661,671437461,564519584,173140234,327126704,273769387,680874023,45988130,126536023,674955629,333445716,235776016,590821966,274455733,624110857,271993813,565956574,587097481,406657880,863077019,953349891,808686755,57316215,613136953,578296902,970591658,167608711,765186254,703702337,585137240,549113685,803840880,912609087,656440775,560372635,846252740,329709916,26747325,783368003,328199383,974375685,355924902,363395740,657301984,418284188,510298224,878657778,307075208,165731739,9745277,175625491,807002106,518025658,367986942,941572371,184823873,368078673,975700637,729427630,734448317,931430262,415927202,12364386,251883031,574584144,694346720,781247619,839184118,637441854,741908504,998763926,888537020,318389853,770130415,302857219,931657418,49812570,914379479,828350040,794885809,842926517,961601896,412182504,344371305,908897592,578424247,176117200,543289399,954035630,435400334,586437654,630549868,725045908,635343691,734855267,29624389,207280997,306843599,534769267,337255895,714445188,821570392,326345651,517450600,242835307,178115919,199065396,375374501,635146974,182539826,751435196,949885539,485338620,294964428,436732019,758958871,271682460,327963894,183682780,870162110,947884408,646400285,423688365,475782110,724640851,886020374,367094802,564567041,377962208,195781169,242357520,594959702,509665364,695590378,458727342,680485684,557107956,489234571,427091114,967315591,385726223,371449174,508840345,610768212,402848490,800931449,329489024,669837611,478800736,708979729,324824413,14676755,666340749,358294696,495365594,787827707,704624130,671805897,323545320,938931754,302595264,260210330,668458988,434155337,959439827,499116785,924569610,181966146,456218392,168769514,391283624,926124999,605508738,132443150,75097003,68966507,864394650,4349328,122463500,575461948,632632070,157051850,296521541,880745631,641939207,845770257,143270265,444189349,985972067,757058397,903247633,808672574,407275247,547737332,867801707,459989785,621025030,155292909,590363279,450306102,700658259,269272200,361920880,729058600,344500864,893330044,821062456,942330647,939406955,388609472,728478627,211954544,555192192,138416489,485744275,610530590,23544575,470199554,868400824,443578644,754673391,221552487,725936653,553337593,305702935,377191966,46865828,39082827,590800657,170933699,778559631,735448456,192399660,550718036,912782403,111314105,54419987,681257696,369212628,990719763,79986842,560077277,819723553,162060486,360017283,917043985,745056839,250959975,632568831,180915107,437603675,81811912,131626565,90546317,25821162,913177355,40199990,835772484,544031974,801880357,797889515,99733625,52350027,671931580,77088815,949595388,456754471,706554679,322377673,992389738,643688548,451794492,662365729,881029264,378959713,389393750,896847074,811691573,744167698,647332065,636816053,227439962,403257485,688390545,392416907,517950127,81809273,751253464,648780596,344360448,772189845,297686867,477377430,866755081,319778763,805940345,663148602,634790429,391164624,458902184,386677338,389468839,189887843,971328302,363457873,142526128,18985943,492161830,294778438,428030310,371257598,264601339,944145847,514201585,92220063,860150985,438234759,208949988,615090043,446389338,836372180,343899557,879943264,686457285,896205209,8145198,128991228,237596128,213659581,963295564,658555484,831044721,777926080,368938571,991283404,785953678,889778632,943740385,484929130,296973733,957435493,816054617,527646022,256100106,601894969,465968974,247321572,774908825,422187441,532114239,595096273,921288017,952842575,545351864,698141155,348803689,467706018,317956995,586589547,849527327,236566332,282722548,561861319,35006667,34635950,657746361,651532185,765658602,824549582,305222056,801123104,929051177,825223660,748637673,178946722,801654148,860690054,34245273,928117144,482667750,289757036,986808234,819935996,837475211,681493517,288539201,275682330,838782251,238948280,917525303,470987151,882374832,183928525,818233200,423156672,198579095,425422110,441114121,72760415,136696000,650799111,479304910,533110385,748039880,365022287,181615130,812220452,764741315,754596717,99615410,594448857,147247936,435685224,396102730,907882261,816437981,381071229,675311346,982503258,190901427,188531080,56192400,721942093,678352624,272349299,715305217,195163276,798773798,815381965,279513929,650638639,934866218,734440037,725908046,140161113,132649122,942524948,329782720,731210443,498372639,945283118,991916727,316005694,342670700,487898288,528031911,888153916,985252519,705826398,86523989,810995826,647463732,471317761,155775557,344945290,671101784,576112618,90565553,781529401,845811279,404094396,778472034,601403030,638628467,91674377,530212673,706403519,247392755,635193229,810988751,598723038,179043828,152549548,304636530,267209317,637107490,510506223,961935268,147969851,575490158,607410640,902287204,648619996,191704648,230526872,879546681,695824481,191210466,778331153,112864057,604525755,835775963,279741349,632541583,551858531,984159483,831082118,352699790,74115673,838798441,440678456,154983871,167588565,380590558,619305980,217329731,618654227,274007852,891755000,75647518,815214869,800952538,217335646,937067414,389975104,144611047,313526396,564935466,935251710,224036675,170448630,840424414,460767827,56260543,550393591,545644622,703546992,303109884,500792754,897826835,410188153,688003423,981576311,268847186,276710188,468855629,101661565,400856107,189915020,860215521,541191617,848749715,874110385,822695054,578039543,458434229,695076077,804764039,75970596,505468915,872195347,546633966,191737609,32845806,682934966,407727236,978040031,513406945,50300015,837553143,851916607,9734464,389331418,865442767,594570405,982648225,173106534,908657700,347266106,141659884,226428647,388199369,337314887,261610901,347885130,594958824,804128889,169672834,52496659,3473350,325514109,927149065,881621321,20156152,64885750,978119856,357054660,971062129,93602708,917255159,813604270,643077852,424411929,286412538,411284621,910492044,927614899,101348308,38932942,34804335,155520771,578885376,234151419,428973877,341414643,462243930,670178955,149493403,282634342,448043366,785533561,528775482,298028708,424244385,829769489,599357333,666669473,576934236,703296210,869287376,619436166,929947800,115966484,384243620,107823983,147708535,226962143,587539029,350111943,391521508,547185197,377978879,913331395,689598084,194539143,718177187,301980329,974754057,785965516,506427540,671882543,722516036,168459306,521852882,845184703,457442496,317914413,196422988,608887689,596272564,556395104,166247883,565638441,589630267,632557153,242126870,155854153,774930002,413868747,648074254,274611108,68427853,859440141,654847446,297448956,892316930,57881907,935220270,730772690,788513790,576146473,473495486,749087842,835221605,529580249,156468810,393684658,762676145,152274287,18224079,674718846,339366151,795809196,241236607,883610460,26158909,23524456,754368031,638522539,337639506,314566385,682410898,520713573,19726088,621449853,699847319,89937955,51455956,972697135,615714974,388953999,955650330,606044204,308326027,750978587,519487585,338775923,345079150,489453404,741330134,140910832,424799198,92490970,852289532,258563176,302128466,335864244,233030309,660671798,382684739,847373980,518722336,934651520,264187886,276576049,172160123,905171120,312998059,899039197,10227700,547190513,959326380,484935795,781455058,350690172,503445594,877040231,397590614,281554881,489043601,700715392,331111745,486443148,524893952,557915668,52984190,320154584,323507019,590196222,380404717,494821331,660220629,816336915,427712093,946485137,374717660,181093141,497252988,784091940,765005490,285393393,560397699,17553260,959820167,919560296,870668701,917123466,935208184,671409068,788953298,239949123,77462764,685354725,687549846,801828612,153849015,594976369,498342205,281209803,784806725,488268000,489629980,799924703,32539398,471653154,874087361,399559067,404389127,927701027,208321115,19272157,229257603,739159553,679183767,363526384,135362622,746566027,647884134,939993623,288981329,621647721,32590542,450446689,159850917,406977498,893551722,360824767,993708343,118559361,246671134,515749010,305323765,410950932,588210556,72905576,691065696,449787839,494721385,389828051,485471840,856367438,106769158,164930988,501963744,47832723,424076692,978271774,599398094,218578872,351178435,171253230,721409114,257908704,26398714,151648239,148178421,387883737,12377227,980056195,729120209,26987802,286386527,108446032,551848325,308151945,403416235,609281937,993261226,965586317,2090445,898457121,115256345,108561893,424148701,218269890,123307107,270061816,147247148,160064302,212332224,127421078,17550587,292769783,382354134,711936881,851138253,327489352,199434117,929725155,33719815,253774913,972336726,109755884,279127634,852363137,572669926,474533015,63043427,405135530,371755331,392523223,35659127,210563892,833966104,355423634,898742517,964805664,988724565,864242316,283052705,837519927,418828434,535577167,233430850,165004337,676042879,305958627,657069172,73369897,326896720,571216887,685323736,893482739,981781807,265443381,742126265,72961776,537717607,600915952,274463402,914094330,300819201,167109517,629916846,737980520,166616290,287773935,582830369,241742685,701700672,588363989,883705517,579991609,617139634,796048591,465881017,152279585,915072721,132884765,269993335,436977834,286412692,198720270,63591954,586488397,102870746,995436072,693963447,256524633,339865266,719044467,165413734,94564171,832614324,457770377,33796388,826503079,956814589,480254142,636682153,393165495,177219255,239678903,686467585,536573593,175855603,682497924,860303319,649495477,942530896,412996444,371663099,983730770,906947548,119369339,941612711,433848910,783191192,219312009,74790020,878997126,346010824,758642114,459204410,222252332,528474065,958265626,692938629,683344420,551769904,32461507,19021249,802583043,529997363,993320229,145466815,318824532,817590873,381773163,481247986,21761395,581472040,194036100,721222496,633240995,517441448,535847532,637548526,446322473,313238357,960314851,428871506,914217273,247652822,330006151,128339213,409149827,247003944,228519925,903977221,944579882,379209460,228365576,470212778,463713384,356222304,277061797,685031764,784688909,883256103,579127609,608862648,513315031,618549068,676960451,261681376,508951367,121657328,662717576,114720075,338885111,350949456,748634308,153186936,341483673,738728074,262599757,156459390,660570008,458227579,610458447,950332633,430831017,643990550,416403429,204613990,993127796,368906614,875758923,919188386,950973654,828575395,260567716,346088457,477855611,523183117,49223768,916906877,454465559,316125176,281328632,268223922,170662895,298401240,186119541,624336048,62604432,750898651,564401825,792489683,882673858,65446157,21262260,492232602,693216921,552188189,526813688,711559962,402871815,200375278,563848416,37423616,357060040,911812700,195178100,402416036,412153770,103266946,173772312,394763327,56267195,16465272,852961988,541380681,657912793,546468420,204348147,760377790,818397416,48365990,13029016,626157006,854086637,243047904,743627118,210515869,25513080,390096172,657388165,92454182,19329002,845698674,665157481,915321780,922522374,545084073,25756662,457988149,242853543,437762555,21478164,922096840,634629790,830593937,997298857,485054388,844680371,89147234,198636624,60012586,950420429,182163612,632361981,247622285,711553020,281993101,179507217,773959716,180415793,491169720,123328277,997375810,293097267,205836505,628781356,687785083,760777874,139001327,886065461,853189704,874080432,717952539,20170098,428695388,252583223,565325084,600130022,238918032,555872023,818319299,352082776,280646652,225378324,138604338,117455413,490625260,180789611,378279735,482765621,540582940,320051971,734871884,245083940,83405829,240244861,385997184,801256608,649624438,702880111,492394572,13234967,884208534,60201095,566752462,406928665,386156963,936186574,212257303,650542113,801147930,783981864,259998779,484935725,480781945,213891821,722455371,125837308,491431370,180549427,575047768,570362925,28547669,360898467,859456759,962544678,805174363,612646273,825482893,167660824,10821354,84564783,286212881,849115232,32780835,324901138,191650568,553699522,143644498,840039838,283687740,368136255,277418344,576718937,790372817,648976398,707218698,436862340,48020841,91078085,714797747,371309043,478353500,802991212,374787621,25293670,223608379,876080879,267738371,871006592,272358081,922739950,390245284,161667329,885524667,25061677,610528210,484203135,122853355,599545680,275487904,325812068,958143899,994371184,227934928,250701512,47080258,167739024,790013809,454330326,341652390,339288725,928093648,977386994,86444860,238636025,166708908,388053869,395565076,150083305,963206234,721229527,564141879,619533351,736074862,557752642,640156723,350760152,645450727,411222081,550822201,195012045,261729376,991384573,194184675,812810574,158131998,727252536,730048501,689167213,673470242,855812125,813162101,400054977,470323078,293138013,933300773,576129665,728538745,625041547,827310777,973727184,150263650,886865614,950008927,951154425,499580639,737539936,492502600,579666229,5056206,14331386,682620727,123067840,903294390,343135369,205302751,773352340,948485767,49283776,92210305,724970234,372918941,84440980,822864890,569424286,471250298,133133626,416329252,814721727,55290067,986637889,552682477,838385033,357936234,919700848,873972205,750348303,147475540,82084577,924508620,598382355,962083067,361586491,732870409,683334526,711738196,48151139,417518243,611713021,803713165,348719826,261286991,333208700,447050791,224934192,567714470,851911853,479525123,434221795,749044915,974061734,231908467,611143708,883572879,955872249,413666708,165091411,296686467,74371817,697398817,212286118,389620898,665814861,378039087,395309829,257520093,648573030,635997401,817930616,168031699,522119472,848304869,688689584,250389819,483177509,272632922,13344918,805080687,360899897,82938184,619705693,619019207,875318195,64624436,320318543,613522761,919191239,313238625,87448789,212924072,806014260,270749831,971488957,784218504,92047816,688394372,603665228,351554326,489963378,540005694,107024028,483866919,422961754,930976707,222832856,862565066,32004182,203607108,967357532,309633831,202874078,682324280,31531034,779069102,579996776,621828235,543398292,609424415,454718194,126159248,762420141,617214058,414371740,910870428,728349457,688388978,167309109,644362951,383686585,73801466,904638156,605973781,258626928,949088115,170092900,111780101,1816044,49491875,340981823,837354450,459227999,443778247,265862200,584359892,379102603,687506311,607641027,692597959,30528245,458667252,344940901,68165758,286463185,668042326,3694193,812198964,342445219,289427662,323704082,722913481,20651958,428601232,51150386,630947601,364350273,491920069,246972324,145430321,264803842,272018398,425511894,168581635,120092542,787282968,774395316,577039609,696634635,301900092,95486209,305440547,232393227,284660964,785612427,892954432,976157216,509163321,209322229,247921113,737610932,944879187,48598726,88897880,192199788,795249902,582754102,833496429,478489710,342179547,220453626,427331996,638529440,364745239,688327388,530291268,610544321,679136270,591661897,539578787,101013749,123590006,690175239,490109794,402863584,721742315,729663685,490790791,270253207,481696518,537811527,193129802,155729395,222667010,436137325,25249874,961816341,732025038,374566431,94025825,418024331,170949821,351498785,222117816,434821077,412504966,274408986,901955713,278273586,451537426,825184323,325754114,607862146,356583453,436560642,795608939,242019521,691718147,987263654,422574627,523669990,209422170,934423853,671188616,387511061,285603010,840009259,841420385,501266510,564301271,241106223,313801501,971218854,638438793,919942854,795913908,61717498,770362759,361876247,127517247,168977873,22089190,397052879,631074795,819732445,491152780,483840538,338566556,478611591,538340416,501556510,870310240,631506791,550838245,774889385,118474424,564632229,227240982,473431611,597348192,302715022,203003445,590549695,604478369,157611725,830329983,671650981,996274821,433654579,26566334,977595333,290076393,395106156,243425689,706423224,34378756,183732146,364245839,138080735,873299514,825174232,203890109,877045797,897202317,427627481,464765151,309430447,903412282,557963474,874948709,921948366,979659666,515544132,970265975,127072082,56091982,182386865,628945277,412890323,984176898,470226214,908037774,843885179,258132413,206182112,567236840,865839870,520675724,535914846,434994120,200455671,632538081,231108836,244591083,682191022,388468126,784266964,675558093,481799667,433548448,839969567,293074055,963008311,476239754,989943115,365115574,840654100,468420713,333325007,141091769,734631788,221619171,546651763,742493534,95462813,664610811,660036267,244685376,354215951,375825639,84552910,821088685,51372682,440705339,42681142,733304131,406620463,816492458,782883244,233558189,218984386,521114030,387197215,232507750,304060979,481438052,301393247,805563661,877729611,102435285,999796704,138441287,641390227,582529896,785091622,89825366,665074509,270357061,108461724,968036283,111634598,102403087,165566506,112748544,116123713,503030884,107418112,324821976,716213759,551866876,400571588,436836072,754402647,425560546,86688774,592926003,344793748,832420768,5585883,666926591,773302575,986359304,331856264,508318880,145094322,700063701,968478947,324503533,751936656,812986578,402157663,691735731,627303109,286955563,713877997,166142090,307087038,878366910,907348630,628784130,786300981,355785660,150064097,402791645,761061426,826858643,33140746,50792826,22796724,322384018,176211767,700284754,39594131,742545907,703049413,801183056,931829338,553223132,398654196,16114154,907028698,87805563,422737422,924772307,160392748,638124378,227593358,603498461,910670994,737208454,678064281,154170673,321989443,540852614,283551855,165951037,635483544,395362647,600609102,413719177,820884497,120144119,35501033,681346248,789025960,630745832,324436837,888996140,997354054,327209674,450393571,264695296,765958839,114418857,632601549,917786681,679973804,92878629,901030284,150457108,561516437,763788803,595680358,195512708,321927916,598889157,969782467,438843629,105468093,69314037,837533613,832705332,315720120,698997799,387087536,753516228,166356248,869611807,859652879,455812150,86979741,465613165,458643127,409612322,421371233,289167037,742145759,849435015,680077773,462280384,131884009,512678035,889094046,10101701,255863072,317045241,989223779,317044792,955858542,80056348,795640510,298842680,565600477,656652035,909514971,572379047,114443301,626428224,355411651,6159361,749727833,9021630,684320570,245546011,838624065,67486919,485923752,583272877,648062203,405085265,286228882,228756358,967140257,782290107,176919707,247528859,966051690,852523080,987361302,862755943,169403600,191150343,204144784,13641893,376568269,432627531,35899697,172889341,753212571,477487508,12341162,390088164,70479198,264681666,145735542,950177237,693984421,101995304,479098081,779825217,640066494,827776269,363403702,585531036,93389654,500634401,5947692,302367224,190891181,668563628,504531350,770132912,16740941,441880530,789182317,771790755,848834196,344364503,72177197,627555119,909059398,496874675,952304728,64332945,540387953,836515279,551346244,875011689,929201694,652855296,207566688,386498176,238994796,570279184,663754859,776574785,22580350,794416690,343958096,222489993,346120753,716259525,731030337,910076769,103674902,879969677,26948705,235142180,690917232,486051750,561135348,124345160,37680694,399159781,36762997,215076421,178438772,330085098,98350627,906186167,297059529,737044997,390024824,345135636,638775013,549421887,153315943,441999064,453804507,384356361,471124649,16932494,842823479,138514516,99103060,205356316,517925652,768622670,588093199,814048540,976726939,693823416,573819455,944682981,10408521,203373019,686588892,474104677,344798250,351287560,546136018,107616117,783716696,350852391,802822370,100583423,656000136,67947836,573202942,464331772,859477863,659324522,542629703,264165377,368370523,899306818,657558213,184961025,53478062,98097330,280234897,975205048,512265955,41610999,550935070,865763106,736202179,212808788,356096503,826695805,836461008,564490257,107820485,367426571,646117792,901293022,199871603,560340095,302493251,537771657,371930382,961655116,883716161,6807985,27974424,418663629,843458136,643193423,95725328,266562320,939484023,665156183,221523317,815159244,154514923,188371405,590966190,123317005,497465490,244014342,710009286,470009332,780014875,251070786,298729984,909031970,225422783,810668065,805254554,465332813,337536763,386718406,111249044,879826870,117932213,754218415,342603659,349008455,25311645,749569096,88266103,584848478,761633420,450578948,732143864,87003961,189526073,270139296,81810730,899079010,341817141,596204031,722773468,646737884,952209057,213503461,247105823,725195271,120296296,32727246,753178823,17308744,564569430,27772390,58861642,309660123,511635513,300788457,769257821,511645417,641290795,808321507,765686309,568040100,314448599,250820664,361770025,245986497,365623513,889740897,863689423,276452153,371407242,217690899,470200759,174266667,532822503,650170512,776829562,938737951,747353618,552463479,475457420,592586368,452594792,721550939,477999578,49174701,61594833,15863039,741551796,16739979,70451927,937754416,943797546,137530670,788192154,966139968,912751397,495579018,35526587,106169443,479714714,881879072,170193786,380008094,810817874,952182316,349153389,217196827,87464482,409124370,387621560,848783298,128019624,587144836,345073112,641023510,472194230,471068118,228523664,979950813,111909411,193264169,482988617,927850767,131233999,40542551,321175697,446261900,528999398,839561922,693505894,307777497,657976744,480717507,440199981,8232204,785875218,872037379,664632189,483677623,663441709,860013531,65624829,445727177,679149563,856613301,15574652,43620620,767923543,155337042,543910510,681089007,578018351,199826234,583156537,932984687,82918671,947423828,428991859,28323855,700009013,484697061,238361206,465681040,807947203,137515588,523890166,696704988,455760101,949401942,876129386,442434735,435391346,497947766,136810990,226773159,796527837,61087871,863389598,602076943,660517425,912078944,694409785,944389779,486856855,815794365,595596112,942656267,168162054,898710410,251742957,886823381,748103066,211947471,435496315,29495212,605335262,827320828,693534982,920312384,744549972,342572220,58359362,989787272,681421951,935504329,410101644,349452186,662295348,282660717,435507812,858898092,982292797,305189027,343046294,302508453,155218994,408133311,9857350,34355857,580066738,767248092,912068878,387577450,345393279,743824582,910164886,991770645,949648502,342609098,453633304,382017176,947670087,432380572,162303598,149815691,393764805,670138748,317566438,480212192,275506602,45334403,625300802,13133584,650278335,397607487,608487195,591043077,603977780,852062399,644782329,303169017,660154661,407322948,396737023,42650890,376966899,407644697,983174452,265347134,839761526,759174157,70827343,399111941,3133164,775462954,971972554,184389710,233293443,614803984,119156685,431608464,383018705,279810365,285995897,851678113,758882922,555969286,399336766,20261957,48238932,209881185,914490959,669407373,289453400,597001886,283195541,306202995,652384624,425811597,891242417,818666691,420221044,568495764,464516069,766046440,615482859,93260329,969376399,340371166,11302291,816711911,280417885,858438650,732742357,785189046,740596893,137769458,593804563,302586520,805249208,773360362,748620335,630634909,263722139,675888616,105682768,334437271,315063579,490634791,683277713,853400002,678992187,247350977,62182599,23623201,219341662,934657507,463629028,690925585,357649268,864261938,314326180,653362399,927563943,157963296,210795274,113998889,583523433,222517676,206835015,709445898,901498443,838618254,711475805,190217264,352648486,914462358,826351204,574614685,820187016,252204055,570003862,247764845,775350995,426210085,372300772,76957620,747901123,919773607,784742184,149052334,863616321,616402383,804977646,56801720,111649659,713789764,240556840,58764239,995891909,642673907,738044449,454504914,995385093,41814389,69870171,706804269,711782832,225132221,604982524,28121161,721971140,606717237,648802851,989121454,484253703,344770852,740861817,380863383,548788264,304827980,872904253,954434853,209817633,607653167,170409244,256410122,162262903,825375125,16955733,788807719,592932108,142736467,91636134,925718418,201049755,947814037,614801888,204614927,694738800,155176837,115477179,654072599,133585957,938075499,983906455,842309570,866350086,450756177,929217213,377267545,724114907,179222899,728966301,226266623,999256518,809154076,716129535,266684115,820309949,661376249,502520059,57006247,316172968,79270639,127390414,350302467,653594414,393931004,468038637,576189134,494401513,860196053,636508500,911469695,412265293,695339677,853595335,768903087,155255727,42109681,312981982,861938252,135524236,49786459,10248928,996657651,98923208,945396687,692513200,391916524,408773603,179626772,148386716,862008987,800833929,869343582,722466129,70494207,232455294,420234180,354839829,806578007,34527918,485083902,607749393,96114859,5940611,6815243,505823277,344929752,720897133,379061176,650550658,134430358,650125888,374770999,777991116,25869151,526217247,531854941,888447560,784395292,776874776,604969831,376250413,638089253,511380934,669788084,396408604,476868727,662895443,661305139,659216354,139709926,294783826,380536630,891566049,267210337,50188273,682621154,987215272,31182959,970662556,315438721,258198443,735295473,611215719,80913182,948937355,346283970,891460661,700398581,225494896,120029789,629735901,283232700,573844288,455524504,169883106,803224794,85617189,704438750,372144070,397146269,281963154,593611504,856442933,499391997,430346141,890033937,801926499,852353589,449774629,333300071,959486005,200438446,607872227,182000937,473267162,340927300,313028480,163590260,682163072,469186654,199552037,789218845,614488178,360041648,964862383,827998291,440850238,567519022,34021778,719030873,671119924,202210249,14133512,683468158,831824772,460891919,466113517,489784507,723639908,761908452,714565344,598131412,69491811,146665810,754762796,19368308,383787052,599810825,517232175,467164044,344054573,450717056,751117599,778500580,454668143,256577570,479695233,31274182,579103941,860605518,55941665,547335235,315074103,77843118,414071319,747207111,175650384,169791692,282175627,923112059,684186041,30096844,762722022,416325458,385095013,916064086,410082127,468695308,266670386,767605511,529075157,818983479,385587860,418383819,483018619,103034133,556051,945511920,892044211,107064486,732237032,31459417,828433019,978643954,198800785,872173904,753085521,776919747,336733807,867021622,163114448,723364233,585794190,536086984,971614252,20146827,474798640,118249335,562449573,5421244,635234930,753381440,316847498,389708206,162135289,890788141,877754810,317465317,571574810,798370162,234893706,116986189,589596731,880870690,650127115,528343066,229067751,828171143,578390671,56504530,335235015,172299030,747915114,524573504,693207180,819748905,429186641,557966079,849200657,261890433,238822636,693148111,804903174,579303829,688995399,22479587,780978369,508331819,996102910,895237442,788725134,213816294,513749360,317982140,40800166,637029471,436127380,110786972,425750966,732227691,12678595,238756055,241687476,745217373,727937876,149885060,128831156,694239543,325918113,40463311,125691259,871948333,123916775,222541024,266677485,313831490,245950476,713198238,900281616,922575962,160665473,143075242,27324393,575831061,831499219,465240930,210364079,302366189,486464344,753853589,770386791,69982882,679370253,234586558,632883906,700470785,284800910,518948325,799507074,699003005,103353164,487793883,266294953,644715062,988257067,579611184,8745788,451651212,295861354,679478381,609800183,922433366,249706685,442534075,62817374,334851334,462111010,675399772,102356574,501331557,204022049,202221059,481340568,602248580,944299988,878111173,367552737,77101382,154101150,822250159,793555335,35588605,408819512,836418374,181935941,44064554,406045986,599929811,696175001,474367588,37867540,251024499,140409814,310044547,233970022,795982597,48384084,835626590,734374352,324484252,285846508,505495395,662586883,629562015,538919363,256453450,394190401,767799510,703514534,480627173,593749819,159175892,756856619,128005839,178932283,122140139,697613049,566681542,768800426,741132646,259569184,23446030,320165652,953156970,649649615,451234036,450744055,944210828,28715175,188742376,420512743,501366234,786216124,582346501,138413432,558559091,545963283,398599966,22826280,174875395,586345132,490140332,107002122,333511029,904389185,643749613,40411798,707339484,246646873,226723853,486193962,426765064,967063095,183502062,629237660,514728195,412447011,693916526,139039787,953315255,332374155,246593626,701151388,777965281,199227832,977165751,713076121,267832960,334966694,258260560,616394881,10257627,730137091,407056874,524067247,128952218,721280085,998906528,310605715,981141116,141849421,494467967,95206943,910052091,139249044,639293185,160542012,725111065,6009625,178516084,939932748,257734538,606116009,506967046,57181055,913491546,712013431,320773996,70733842,136567737,551530227,676817453,727255940,11397425,230787989,962491185,333302846,946797480,572281572,576176298,190028933,786045852,491964052,925720981,900747731,214760977,511268062,691976350,820622964,739245469,288686159,819414658,930331768,519866073,763245475,31843105,401299822,764215005,160201609,496751174,999915152,345321727,730764209,678326670,463265049,643580232,779825188,175584048,936503627,526032454,519354062,462373473,593547921,575390425,60825266,581874696,359039056,587349683,16122634,718418859,882837728,141172068,485930089,409651731,694482304,747549429,498696815,132218304,979637987,5055227,314349745,12807106,357931960,945235602,931877493,909656955,98587626,629008002,997323088,386885054,53145868,92818143,327247303,655309530,634308841,794139660,729431609,216049477,695598034,952420556,466779453,204981825,446466902,47263786,573827271,791321547,661450237,132255737,917262639,775026789,553437816,357625052,801505124,880506583,534541242,261289862,847416286,840544505,485013095,901017663,58195172,429683510,624538184,21082038,531320337,588183263,852260518,962577850,212705637,428679009,759882261,289061709,802570921,859834475,724687157,702435701,412843312,210211658,653224357,630284238,655576342,733966710,100417313,723178085,46611226,290525232,630623532,821702335,511499932,87376879,13936474,196311440,311738989,595182263,142531759,487318431,822314297,60985845,636572674,511328052,270770552,966384445,332642209,36231780,376228702,506608018,683442182,139087907,964275611,643025632,273213166,659357265,229225098,598746148,761040892,830696748,571926144,88687203,766744540,998362535,159646930,957001391,548996987,830798082,584993521,120566376,175656804,796497269,511895492,116577101,708463159,681830691,220956709,192761991,768869324,715748064,603116012,118653551,638214784,470245657,354196256,650066442,954404702,732350921,485269489,811800825,556848724,955301191,134623173,847322790,766266883,334902613,59179421,305739470,371719138,391553733,25903471,913001262,938339148,507154007,426846227,46922790,390003885,735046357,276894204,204515021,831637432,937952922,384616953,389608216,93355935,396216657,151362205,975471543,143830243,920143845,992552465,947565925,420793251,345375820,410432443,242921760,386007252,398681393,83604723,888656243,334753202,235281012,784514941,731249774,744037666,326460538,496143684,827520574,4743989,863323657,957754823,252929926,139767350,501650235,769829925,116561888,350375074,565156270,700633151,554168444,39398030,186681592,589015971,805309611,587540982,871784208,160409393,191280588,714454469,667639435,871633719,778791006,537085327,888700701,481721628,919617651,849346522,401712101,250875608,75061456,50175025,274636226,266580771,460759478,330019859,515371012,618157263,170947236,651339748,350514107,131782644,123420522,857694557,782224380,385701565,956291342,15770855,45924230,790993801,986043042,910970796,757691876,284647037,360173116,896031348,632673373,936899618,772942643,312750961,428771980,360775942,957994949,957902915,559754366,238546081,892490976,318542648,267719685,228356086,581606704,788801521,428218540,879135645,293981348,33005886,582308035,691235162,142096988,686874347,38263800,42519966,934117791,434999591,502307988,581240990,711155909,244363577,999846144,997012346,612908422,936292617,86576879,581063796,325097353,145349382,885861334,944779967,899346209,781546623,437204568,577149423,834934503,298618935,24046656,487182225,739423718,923927215,435171027,714230069,421482556,85673653,886751273,313444075,121963800,261320231,560300450,740644212,663135978,899959061,469380413,283713016,939050969,843631643,24558503,847339178,476497069,608211126,209365196,49307274,431568203,752461482,911222652,193817176,589260753,200646321,480197013,92273409,94694346,407069413,459636631,278190463,793016965,574210764,149441648,878079811,762094318,762002689,577062727,309260751,589400775,486616971,368360535,76754341,449788240,809036788,664413200,244466423,247627592,999502178,790274273,425197864,647154064,253988072,661055385,265601204,164446693,838240322,44710432,356264977,796495747,931271951,652280833,99694354,497562074,68612490,538354008,311692886,152674054,373244984,760030195,145989866,257397379,96653576,261733666,89786364,788038542,612332790,739452535,699067701,364061134,120879663,299753389,549559480,593727257,690015713,818361336,118363659,20041548,26985906,795446037,249948944,871968222,299859971,199547402,458498711,474219482,74047958,216594824,256489682,116880879,566937124,752113970,372343857,251488897,410623921,938742615,913606364,431611537,688600071,566179069,672738426,771408926,661421612,651879249,565488696,602486480,862554650,452245362,448053414,216024023,176719138,511769194,135079618,795464878,842045531,752124867,997345516,863994716,271930994,25438241,27925171,299535917,240317502,870600775,395680199,768699149,11111085,186452746,414991570,347892016,641647705,975679699,855647127,909286167,571073036,401481396,26818970,212320134,260544301,462107223,849668557,362475079,454259655,68477338,180291389,395395612,556134200,564489706,688141730,728671658,614371904,619414469,284644126,798421124,922339109,160133749,337941684,396007170,4660638,593995211,37620882,528905633,747255910,361308942,644894319,795053573,828076653,11450500,630503337,599563094,568013809,780306277,556009472,578319291,327945263,176857778,401248218,818679133,310340903,758693907,595397441,297750143,854808923,778749857,253494516,324474675,866629617,671414333,357585038,883124467,804901955,89315159,740111086,928736695,483059407,193093220,810112041,31968269,155697411,583505506,280638092,993869145,600370139,712799159,241831253,172626416,44625469,921020756,800614038,108110909,934236078,270603346,341787637,424381699,587397430,851262242,753281094,899806697,577696422,677857066,811589837,762130171,928854779,262232969,362628129,43241041,117036316,681755678,711625920,848596005,702123611,285782355,27208090,331949287,568409620,751917773,468889772,726798832,614708318,424685075,517540848,745407392,754003698,812959846,999820632,28158403,727509179,962614191,37824018,362338328,564723004,484293909,969575384,451347338,531962639,564405216,711459942,364270085,810597832,565697898,845880840,320628463,835396556,659806631,871580313,586084408,990802110,763946773,167990182,675683994,799348047,640661164,814259606,126290735,304206747,189127321,648909119,7784667,672645957,28869382,361864737,868894373,856898308,728708419,145986610,88686268,692674627,150257348,767854518,548003165,609907350,954990968,978431301,970095047,62458543,103666171,27499708,117010810,497239399,548037020,380864401,341623340,412461245,667165143,768836591,141014308,598337850,245127868,820383540,383675763,497671579,285737085,231202895,892342077,24381952,96845574,96688270,222635879,794864029,448420693,177114876,883369482,487846765,886812753,911891918,266225493,219915481,997850789,501307353,508283382,375284706,825022062,700368000,591624629,917970653,122808837,565328533,29939238,679987708,780866501,249693834,883971147,921344627,664539462,533433833,166072150,486824808,693788313,963367045,879148715,758964857,29326224,680159944,983219100,593282836,551867443,423508237,968495662,101227815,896835206,499737637,393444832,216985074,941034340,630391630,768851021,177933564,171207900,894196152,603103108,140075134,954585677,744170073,4461945,143825508,391105609,449271050,489461901,537224053,379430933,737958283,516877610,825435483,262950646,373295962,250268478,97345582,475851829,351687791,119124770,194402312,587268503,179939460,573049969,250795120,302910662,551532481,310497292,327420083,439375459,753201960,510894221,449759575,874607395,226704988,358042907,632458284,172715651,154899715,234701393,658514274,559222664,132564529,422609007,378716346,945356001,212309132,941896161,343771962,273130570,757776714,523344124,670928842,995967074,531268474,512774417,890683042,226054180,735394102,944356137,45532751,558454586,137788460,176138786,184143199,326637445,957824911,390324024,127377642,639120089,970665150,507527796,698295496,88186599,835319089,991466079,821418181,347787431,734164789,710206824,581854023,609448707,816507815,480210105,876544154,515815726,876124585,175972456,444127148,252641641,150483343,710170050,365164046,520916728,839024809,596163722,925158684,890868862,815546702,89082708,27118579,827744875,176034532,693133827,67547004,132020845,108793453,409722957,272338317,583823963,67213601,137963338,269146036,123341539,619533436,676876057,459844630,310484611,718979858,894141843,754782634,872092650,396283008,73295640,686932889,507656425,283326905,196875231,748042852,101287454,417890365,962335141,344624427,761301490,687450506,724878513,76752360,393250256,438005132,773531485,217592747,667085185,362897509,641109570,455239039,599734631,645010630,257802623,401725782,542557683,521036715,562843040,506607887,796826523,984269880,487229135,779674292,130411094,680407689,384636451,247350376,656532267,626555411,714607280,933908008,660793475,583035984,370799860,504972514,872352435,148716953,72618717,827662021,329697570,845213355,49887189,301577189,638972334,294973274,483187651,628151904,4076469,55950368,503952178,976896532,105632661,132923275,79822339,316212277,356851570,630918492,758355093,471397832,745692918,3030521,327845282,51136735,31565671,310606473,548489619,872068579,902332908,184423666,503276046,441594298,899756273,88873930,340800353,796139548,643138963,142493870,138979050,604124461,5607895,295445215,821318692,742803454,823926083,21779862,138980459,24852695,954961697,863190314,906190357,532262168,412587442,377800904,546131599,781058146,885485561,205275895,30730901,148036136,7363993,369270127,965194201,422121171,341159536,566520056,923622929,405001399,809821115,617121743,866038388,72795850,212129630,412643332,698497931,685115660,564100126,555225512,786607446,932439578,573962166,407508198,484800543,931907192,670391969,481981588,140551972,680523258,675662822,886601138,221938546,897908104,989863180,442639884,623729559,499958555,268781748,157667016,866585041,637771773,17839758,485339720,227021312,550505453,776013662,30162413,971556650,125489615,138818391,319506058,31122704,137763184,503215379,587642044,574899162,961769393,581901578,858366447,330529413,922910544,133796950,771368584,799955631,351113171,789217313,62911568,789119461,950124870,150071596,108528177,188992917,43230203,690562067,174376557,313571084,135621302,799133995,778561928,7271359,937808740,807526785,61141669,452934007,756421706,729855109,258044781,919327103,470088830,171499985,104990941,931838450,649507274,771114914,281683240,416815729,571085530,694078022,182032379,787378934,913424737,681140786,509027094,602962767,823826750,60617285,631337765,158824029,615714856,602825909,115756718,509246873,470566598,186405669,55060580,712636122,885494139,873784561,982659809,694009382,769764843,523545417,760973773,605219575,194673829,3916019,487807898,865873653,700445875,51559572,563235738,580051277,538212057,98820396,2803870,272428624,891655150,76218261,921079224,369611770,154929565,38106759,872878636,320897336,911114378,824287756,957121843,285572729,570092641,515292841,677294956,868316107,335627601,564452580,708273355,432038193,98242300,903138970,366391167,40341728,983990223,340889388,401922512,461457891,301732090,928966137,323755763,783896989,236533705,448023354,431432074,52370497,340439878,329002180,325412052,700589460,93471378,186401388,732112564,350865391,854557802,23098282,121664782,948645945,302589129,750434179,919725965,381727941,978656156,45629099,125127679,861090387,814815106,911472069,33982663,874682768,743243168,575003117,307218211,570830731,501102068,433230058,817451427,65959231,891666744,82804752,687591187,104796120,713779558,47307297,6954074,165858782,411149546,529681539,581563898,287043726,860507655,247013463,77258241,576224702,485541143,770670748,241163293,108008431,892651791,950704533,152393863,31403410,507710511,139402647,143186149,949707386,991788321,110284524,265015303,9299949,471844117,999255537,863566676,265697769,462910712,152630323,521585477,358312892,840304647,371693919,556733849,894247856,18099368,231485698,262836098,366088808,377590772,190507897,789468913,226058002,236646829,807004892,657032460,171952845,922621204,289451184,143765672,905512032,744835724,760258670,276706727,277409191,568056019,102886494,614027502,841721170,230286192,227099291,106346564,989930937,134885762,115345188,973030567,955193408,617352728,222999040,977867502,396392596,568627631,389676373,810033649,434593361,622289207,93457520,664561678,561545316,549975913,436141304,997981168,586398360,267572166,659010437,631363138,660687152,784506991,305763339,946632654,398156335,917676245,713303613,729620138,598789669,961085419,751102935,467984112,718466504,931457468,632183797,696528779,45686757,7837399,676400908,766741660,410619742,123447642,579131371,768709101,227760431,574601176,118641339,266606276,117011962,658144469,173177061,133873771,221877950,450023443,766288730,632422614,764109568,28013904,661760801,698700075,238039844,848432274,474055999,582463223,851752452,763166422,599158297,531262275,609520582,367825497,348446849,794417592,418100710,771329491,415257031,465696432,31206833,292422515,765190484,578931256,624945101,775944160,555020799,472695810,562136787,447815636,503731043,82797797,575456639,372244150,527139188,894791551,553185352,435310405,686379647,740053920,131094829,226933781,203866276,375045527,827023458,920821280,816201347,565742208,840724856,468508716,434143082,659266320,567376641,114167650,928646557,508092445,46017039,599609584,152969649,588313799,431929614,917105213,273762908,790830081,756550792,593262805,78333433,640834802,137027954,886077465,655284316,275224019,767408197,718528654,632661098,614278331,614479941,634898969,440929539,461419282,962335117,501095269,741657007,232570385,450233804,457720939,815677587,23552566,965133271,767223339,426752339,185905192,193820022,514606952,746640094,169387880,307107420,275326974,616624935,795514764,561004064,13556179,218843279,839690860,604964284,413378305,413086505,601725304,807268962,294621092,911333989,552782069,314694808,568565408,370745708,118896152,573035356,211690836,107972008,821756375,34697253,971615821,821552407,568993373,368210559,792863187,882637513,564705572,563818665,972792846,804318951,193758441,195571227,24440870,394211493,400025115,488972077,781522767,647337753,199518430,710728316,521767447,802052803,21895741,462024119,287477761,484431184,748207101,115390418,360166051,565216607,591451577,651374218,930357920,88170644,103095516,496023995,749676735,918640916,71526388,746705540,813129450,808831789,999001505,124013278,196462533,303188225,708668455,697293058,276921319,742542185,65684630,263802511,641650648,159798922,715248393,507139732,149792801,48697482,84981696,352547575,318678720,209037409,435529032,932735722,728031633,863313663,434366241,566715281,332387993,233333361,67208870,788406159,538623215,494618214,599950650,907813249,211893037,475236350,930924003,370025951,849268019,850510920,83822150,339022728,283237312,264604038,332193388,33479090,348875354,633091896,588282688,251493148,894728030,128189825,242919132,68223323,889066364,54276822,402059474,149453769,750353521,472046675,860247805,59386029,382481023,246602209,751131209,982752888,117602827,447965597,649779607,357738324,106307376,258896101,551473161,353912721,65975231,355367043,966161816,945797170,929319478,383259432,684530700,873430529,780047522,747979330,117473595,281433909,367938800,777677883,929537703,53582788,554578393,990588880,793299165,864662574,82722708,913766714,289250972,750598025,134718961,652993412,203444387,644724822,51206202,615387754,307140003,929656196,625317448,328979924,840309702,901077946,803507431,257276989,437920079,808645716,272331531,984832671,717408314,403921190,705125617,960777432,741656319,172881276,547374496,898531033,970718815,748658872,333665679,264294400,678637680,932876059,386340388,912091776,368716421,854873993,708440786,843307838,751898259,393794464,368355738,269528399,996811013,241192696,982165144,821605127,558976522,566987646,710528602,352281121,890440637,884099189,681891051,45930315,624935067,508843752,257316729,732985132,888762991,286450952,747321546,804426548,320316470,773699718,436980563,82733874,541561496,929967135,694036441,122730808,488474650,153793055,907765135,857564682,496568033,600702357,813455670,958129794,6585118,51309835,354574145,372818938,353827038,143764055,941119847,604476269,807020370,889359352,918438965,229804068,345512045,102797495,535672584,450425500,356554871,193708607,842831985,161824315,634523526,789793190,685317577,374844228,43539035,907829962,868473454,6681799,841942658,439868921,643663354,204060844,560281095,297708110,789500735,519179194,597139028,454854884,139825204,100309601,916231697,396560408,31958333,369148689,339373333,501451887,968220630,620506346,841823364,24839506,951985588,533144800,775706797,544423733,165902805,974124527,915684787,517221698,251184265,862669301,504705550,577786659,973869606,801226233,561445232,612300511,665719825,954399616,516646168,206656583,13515240,272777274,884465145,503250564,341295455,786763447,847945243,220413385,221159868,956231205,279705169,511720923,331606052,580430117,773668027,476546839,682384954,558471086,501102914,645598249,662369294,187261510,571901883,31877400,92989790,250249405,277459116,95017580,25148368,101910867,247081314,536540322,914905839,346938524,732103171,90233385,22183947,376754412,525965522,678427261,369079703,492207652,345147483,436711839,708571998,662795229,628589708,628890717,966136431,172017104,914166251,103991899,779081864,907664810,731262594,621017279,183941817,479724998,604210565,465731603,542608531,57544456,581520409,458741568,994699337,830651605,237811754,714177035,818306187,793645337,440441600,997744735,479710090,190257079,84816329,309317772,782223083,34065244,704765820,426999422,350858250,459598815,134019683,336929910,611902320,186213413,711783078,945725563,282974979,555251646,867996545,54443332,424811044,379078116,946807841,226610946,884892641,753734603,170756734,113838335,821940379,830689372,310952158,252857340,585836895,507025194,678047468,284184121,235142071,133680713,557963057,744676060,306195033,790823693,124054144,605053093,429911987,979987887,710895541,242986966,286202736,190590581,681692056,237429070,59271470,704142710,395499785,133335027,194113913,270145414,677284686,113359800,810579227,316420269,28195404,111283243,538695277,572468952,986171039,30788407,567721811,746131780,311139051,439302552,868746632,77968304,61663170,887759646,447639126,176325433,776177674,805998957,607341675,171081855,963514990,903349414,303243967,402344571,803366110,54583017,990852301,995955091,111223986,670337102,402110631,433910181,23312100,144471962,178784638,604182805,766391587,379302107,307489605,569272819,85095760,633124290,652389460,298939147,609825843,303231759,95744837,906721027,305067405,17389679,513498288,111872925,459348184,670473637,555365440,281647205,132201246,596515307,135533245,615300397,321930655,479129134,660203502,931856130,94473281,65253939,207521431,73642431,579197053,219177696,177427597,815770959,704788968,245527506,317968763,408886913,254718964,306704541,885926817,884086187,286273548,950206571,353742687,865524486,930984500,880348841,3468669,797614658,995369258,198544715,852862293,858294322,558840239,428921992,516201788,727645969,475952385,922403028,783248072,731332386,146138912,487600554,921556587,63050844,858186876,147566475,475164451,694524383,982461709,871268750,160282543,190514861,806847477,201574533,671985233,28406205,457847374,738782176,546782489,426650863,205321133,90022500,46836043,825951468,238203658,522835401,85363788,282268788,708480887,116318054,609261390,380151876,773202471,472122963,438169361,996317493,67567182,429040981,308676629,331522886,582634433,996014786,20044770,549367331,571495169,865663776,714638847,595118469,938987590,231586060,742961542,15255394,554047876,123558046,236818316,811236866,499603909,877692522,108020436,756243816,72971984,123703154,319359796,644760699,835653157,38266063,993764020,341680402,200137955,522642866,621484891,797284429,74017721,993224491,479499,654548391,653389139,587611806,824420001,781960086,616306753,885668018,271870103,303149942,532874226,621809640,90333029,933483888,280784107,145365511,230337478,123972933,464719072,312619595,535668753,540564709,566964708,128708737,975923468,671048157,44592808,722269141,293255398,182540295,393331504,933037806,573280208,800022197,749873865,616633727,721056675,508968578,362455865,994765574,827606301,406987948,225901883,317550990,324293028,900738509,416095785,144758828,988898308,786043950,293075471,216948224,41031509,840399952,189937879,720902554,234107799,286516137,902635103,273028274,997880389,448493520,874834075,230260511,493727010,99312188,452256019,111403504,815849303,571604334,100284367,684197705,653042341,954459835,829931866,970781897,217895163,672889176,121215400,894316297,154309069,307135228,890686650,31729807,672714340,105614911,436926192,50269529,713725986,701292815,212261333,885476575,573981948,854671002,801125052,979621910,435986109,66767698,181297571,807267693,415036006,927525881,995905267,374047185,624901217,180384997,439917178,205708403,80667612,351964407,717102810,233703858,586236079,330210433,191819207,850093483,837054849,247090371,701487822,580866518,108193905,354821852,218436708,794318822,547113274,874455149,927813610,839392189,192977378,52609252,81305996,311511235,907887393,301081305,975963710,899082036,647694732,385564651,289438153,980690614,758466917,922755138,504289851,213502260,995012901,879057908,826401851,510530669,972887813,758566113,131559813,13117925,843861166,52809723,132446970,627834600,551612381,986380351,453759032,339515780,318280258,818044742,686901516,662590462,748192044,37079065,469236449,345138970,359597060,629721248,943517440,242734766,51033617,515634698,99806728,435343185,140089342,722489098,99980429,930243170,638405458,460581851,56401140,451999596,51724679,713349597,396036134,429545267,185300967,684924425,575365613,569198165,16465748,540035827,680826002,79236680,462394399,233876650,242689685,60219084,508452995,918086067,7146151,197019996,525685729,755335767,346135401,783561700,910767653,858121473,199189102,896618386,399586468,82134850,772905450,67140072,648139213,921995871,706948959,861118508,933277853,7917678,89620632,640180634,519133661,645999245,848388608,865655577,137662596,67666570,888699694,51130208,570645344,855317663,510992930,648640835,883209398,214703959,928230516,703354124,318576026,57193652,2009788,906035144,291875035,884832632,387864421,75527930,717897605,18167761,508526719,760882001,219311373,897092793,284255707,216819766,448553850,656504024,325066682,369599379,50816953,586581780,216588916,143896192,979692552,493928449,651914690,433339811,767747311,363837912,649945515,43541677,32755355,130217338,225369682,888946372,495918548,62760865,980896125,687219864,102954391,395549416,435024617,241129120,343309414,369225872,128801801,974602249,357610779,280196533,915304124,107304988,111406185,860827410,925880533,933495851,545357437,817544167,954768533,268547887,495044,879381996,424192987,647897084,262497451,46257088,147629068,387726422,511337702,519714269,380706315,168349421,362552761,536363375,897647228,472803502,620598050,138166694,917815491,174699633,289580729,392995644,822605186,458246613,248615511,95699965,560884065,412158986,144851600,393772100,175176515,218440624,174003705,381926719,326386064,57502438,197318490,278344230,956888152,129155971,390517086,357996504,368177515,203526306,230368096,666121384,640387772,544725007,104264696,51278350,756576572,333074907,850409907,498995030,532369801,920869863,211345686,756651493,873764278,11297589,883271313,352672543,121651284,18935350,412525684,290503962,264494247,623817851,78995937,416971045,975341526,976908239,534361560,763073422,915609889,127516329,15234962,769286723,197490818,168300462,245273770,651894534,481790913,657123593,598087268,326487709,342368507,374364123,881639048,473120136,439804232,711832515,592634057,516701358,568979561,272922104,330463607,307690238,720137713,408630548,349960731,168902745,198886916,382785027,910171768,752879704,836843132,442165809,271961446,847574716,831473064,693233113,613111269,142120597,65236686,59699859,180661818,707914426,512203770,808273556,194289024,296975511,848093554,411699260,652998884,326519358,587776548,552953672,739985440,263829156,467618956,2052199,196038189,620863431,117612353,9951261,25825314,393814342,694629448,564872971,53517455,818583261,257103356,321090555,828841165,893135092,934753144,690801538,985272285,103378407,301779558,887525045,505153270,557452887,368050786,702789965,573057748,28023185,552906357,799260918,462558796,415512828,677050676,965628892,818731006,846484154,873688832,720702929,48340637,10467437,300310409,665597608,365155320,365401036,868325057,647611916,215485187,771718398,521800514,641396697,199236016,913816992,773245476,438892201,702495664,799243895,212797556,892941348,748839933,113271860,738135786,884829464,341571676,107974377,991899464,53140071,587745191,926016254,907948850,587197008,965670833,609008276,728242654,889172419,895328657,396576893,553027875,31934539,412440904,276648495,224638811,35133413,573138594,896496283,924403742,182911384,65931161,525923273,688823795,274126944,222788257,218964370,331681799,773951714,628160395,413398170,890091034,719451149,19295457,718362906,779099779,793474748,177925057,246498253,754637218,318267530,802794754,932889368,562317737,989449680,774053901,871424609,670264529,541177027,38553341,891141655,804907248,181351431,69672129,165267000,942454497,596453289,724653622,465478180,319605901,805471337,58584479,429161836,818879971,884455753,557053012,484709569,981443542,170800071,786567106,316457578,352584348,187574246,84845457,912294802,872261916,440480428,519520316,349604663,454416693,682933842,186144998,140060561,271396592,343974933,645680144,320324411,632526324,211121351,542729245,113373918,545277257,636856275,729901015,578073864,251574908,905762630,239557525,356698295,206025163,167085771,524471048,73001709,855776148,513267260,671153083,708308770,825695385,474144499,606093962,390334411,379213499,82651836,998499979,645127817,760220870,376032854,180640866,991369820,175124179,420314316,612980319,413716799,208489258,634954630,547482396,437547469,514676948,703619608,534810981,740901203,391221054,353361353,620658524,58219629,610289664,248635867,143862511,247305418,296852127,993830983,183770665,705182663,381504116,690938822,339907873,185060608,472134191,626424624,997684408,393117764,115734919,418734846,656416932,954006061,21974152,10862810,430670162,81835727,638800613,812980356,115230861,393781271,904889886,288536449,652258170,642200959,476901409,817433179,422103578,388742868,447129298,70192944,404749368,960705582,41306876,999423807,295803437,231120825,881446818,614421911,367144379,736666231,116114436,979019507,14912447,414526147,414731542,517192335,651840943,509331081,535332878,840460889,596251980,524614007,945279395,865637756,340591819,217269530,196760353,212939955,796863115,678307387,296971384,464033509,32696957,109135689,712503430,430078838,574222743,812500765,474964864,127574265,656465142,245653556,367565694,609689864,933231829,458881481,744401039,702498899,993767734,477485083,271761510,610236087,134552859,391677717,64321987,500904284,137741178,833211544,420625292,158033813,618446146,631202154,899625506,997945335,22552244,372762268,685276572,291460996,801409408,745703906,273129928,955838290,723766671,397134976,830226500,331082551,556637182,33882881,828509854,476996520,332084903,319990913,342753231,184746630,866117658,505971590,587125306,966923900,521735954,445539139,621139257,70897247,337852870,684346652,316978202,260063103,752589058,284016264,258905126,873855429,209964579,889716747,19104435,146167983,900122120,287995299,651560321,335693832,481877297,774196772,80439980,381176959,412377213,226762798,820856970,406822476,830979951,29004904,604899518,23410116,174472588,681692946,253556052,622153101,73120157,359290417,798642966,249933418,668614479,146002706,348942779,21249269,508604773,558588837,376072378,182672090,811845657,259898922,556063377,599271083,939504460,232653833,853229180,727890762,241397403,153152928,248377093,798385631,858247662,612845635,174423146,691758067,55263214,9330326,581903013,310819997,800308875,615229521,456439183,437736133,407625666,222213000,179655553,35238005,19178227,401392020,377811080,757429800,615159784,598613915,273770652,909399592,654095100,39890809,391732006,459532358,192474712,227392155,947115976,881409074,98045547,351780883,897871284,859648961,827513104,641163272,391165837,552541593,632434151,877973228,178025326,463012492,241330744,117357940,286914376,323407171,22427961,946045173,975558157,150022082,282594800,47115310,536199764,511432203,72195385,60671115,383512806,355738132,952372242,6151378,52686613,968913347,976268061,934323944,603333649,802275811,542581924,820731525,589736359,778535601,316403093,860065558,313188917,546072422,945072446,542089154,672957913,697715659,16900129,115905579,796676147,173453382,698132940,220619196,73050860,860124423,57135683,159875909,200540919,508517294,78413647,526390473,681060029,995245713,813851543,667584756,471684385,939357441,58755637,897004432,743918999,259507344,20035093,385777029,519242807,101505219,148889833,845212021,430681454,647600575,953014248,920773204,489724988,968379084,433833629,56270476,677428113,228683350,975203648,563803362,462140209,746742656,622890502,287381308,222590625,803713927,137849914,731500136,793231345,123066329,92668506,355815509,143998042,841494644,498027738,131515412,573207852,400813787,717941308,793323312,37554023,28902254,397288674,126643257,124738147,376141953,117225484,950765367,728434592,149353899,422969716,665570139,942218581,893767404,227762075,249559476,835718553,634127787,811901993,9012220,622051369,916636500,978907158,913255670,587904986,567514588,86922248,253330047,714641145,807475405,283790326,601736808,736681330,181674509,741161139,946982881,866295834,945534925,526536782,115416474,782099537,26718726,30689530,626175460,636612507,46540751,876379016,347817182,379504437,728107543,417311632,229669848,845283756,850625966,288968379,710884583,333895794,804392854,933401914,765896353,245081136,252353041,346614495,91383267,819286434,326339592,219673360,235291263,599698316,364591621,125606966,446968663,831706436,496196219,822805283,257067017,16501507,152528136,66962587,766723925,519878936,26983228,695581604,141320855,574688961,705967547,798513154,501945191,314063178,613022823,320397226,165919073,798315338,839995722,428571334,631504662,692555646,906237255,303370503,600734745,606980316,72696339,770182643,149078233,178437437,896069806,414797475,136314600,304909911,986205418,598694678,3540725,279996581,867354660,823215362,190050376,639223363,709035482,264964892,710039849,549367469,481501488,256727462,854375800,715397995,214073837,689677684,894600661,388718867,274389807,625548102,786575917,561798543,330519266,319375957,138107811,118442858,1094978,835546357,680853104,183999883,620475641,125733980,992367490,240107532,175648505,376872291,673691544,570342193,529694504,922502201,830507601,508554451,348822257,257480256,794658249,411497938,304400834,805880403,277921114,144052766,719941750,470288793,472904965,148981255,874735640,28778579,58857943,8616572,771099370,122416942,208241673,423753875,914602373,256659963,120593173,404261011,5372941,692935631,36206814,815683129,845122668,662985699,493962785,168968331,255547282,154989132,52772873,820946819,881719878,27353823,837483675,274161168,874474045,400956560,518117123,274956281,301871232,516873077,161476743,556971954,606869889,215343818,511032596,489015301,470951847,510528258,628313461,878367594,386129114,164466368,217911126,579365925,476614611,277371549,967767955,340014663,909310061,886946828,991782783,572989151,838337545,737149934,749806678,778827402,859279969,542830164,766234591,239069087,891293113,205921225,31441182,854564649,242591645,438540888,129601226,413361422,788279044,691186805,35637574,811682631,205286874,404644721,924554718,876287805,768881993,332350209,230785032,741508536,801381067,595370124,354787082,730909319,670326926,582322526,754060486,576618268,12713916,94722218,886910416,406002855,56648328,109075188,987941001,912058790,566782655,655375927,295444098,271539379,90033544,780729347,38262737,848654236,76074918,862632373,79441920,282660952,518363610,295741407,711554519,533889121,723655506,317961375,330684297,264879936,887532977,942133008,570940278,767293702,921655999,184361760,283327703,120177953,373399549,294087399,239813095,970954783,9760077,370551934,875744367,717396049,12885614,555678591,642398051,975471620,552795181,650689611,62099779,619448092,937255844,989765808,2308684,176481839,423087811,139634955,830155164,387862077,330181725,789903261,690771093,629814670,13286965,347313613,937510439,764471693,226583545,366952034,622561909,563853140,415284703,73452266,869513118,651560100,54173783,338525042,107859049,393781281,912261799,462992761,806894997,929576592,324758455,193413719,271650028,493181480,52412818,979117919,479608029,507853081,692637992,230720525,480569233,65958627,428542832,5253877,867451265,598933773,624709741,753564507,229221663,4504209,459200783,76353598,254900487,741071239,872848913,517632660,698170858,476822894,260670275,998876806,370915330,90297939,184023782,511272181,22755142,461484689,281170117,621263411,36520223,190520775,730669527,432171331,677190826,950385904,64636673,145374427,646574965,227962607,898777291,892617907,359593446,282205811,533615162,850237226,596710699,819470734,822873597,734482479,238329327,915573649,651894400,11489682,207081324,222961608,987760840,96352739,628331759,892727920,731150110,834818082,443442398,586880047,726975974,898507180,690876421,122274561,587026576,349623749,587103203,23048493,88616510,214908184,224886066,599371003,271690956,687637573,116378416,30714356,736766514,553557318,797092300,840004796,229886018,424773909,703260370,21085712,252635257,773460302,302243673,722130715,834206436,246284167,896193576,348200822,363564641,366731962,83358083,918114610,532529348,403361707,784353804,661541596,440146208,726865014,44120316,261680112,341778730,533214973,486622396,924601133,294778918,995595862,503669154,234392497,106624984,985449773,289347587,179890774,670479155,434878579,364724400,591767773,55059999,607268152,821278230,30571848,430427372,59674510,515215112,886928022,185687783,431448513,614872104,921689634,837123075,376183304,105258206,229854504,359202202,141017644,208005927,202772137,82922575,477675800,84532903,819036454,330665158,463611558,294741480,856207309,995882220,545132983,952890814,221994107,532179592,895949673,959841983,241384226,21068620,314338769,796682861,775088009,674635916,581664635,43106792,596643900,325926489,338143553,532253309,680544768,284178736,732590386,657914048,855271394,123256907,632553299,908461306,85835763,401409834,111333464,865988084,778076060,335510006,153504914,357819550,803402453,199475103,654226014,551137528,855192921,129240849,93069582,553691858,442148079,554933647,405611653,984673961,582525221,941760674,72187455,630262558,236394269,400249480,149055384,248139823,800086748,775666213,477071888,985689765,321324605,102618661,758053802,296654619,881087771,645261743,78985725,995424016,517726701,276545567,518313444,101350114,648252639,88931426,792884698,862133905,757597623,232531972,333905216,682840623,5714961,417810421,257100194,321831456,536327425,938005438,880457373,397543907,377665999,59812590,569371093,133765341,824588782,937511237,887204588,966184983,314193611,250100405,54750395,145808514,560845521,561661144,254861930,355374268,277348086,988771321,752172124,751097021,876837677,347893393,79815505,301173137,204963090,111883991,967995150,7796887,353683348,507334837,13328403,70211967,938742396,954016104,839750130,870390093,394119687,353148657,415611660,187459014,620654306,624079369,325477214,806170410,159773804,950474942,182952976,440280043,706805364,841384023,234103146,65987672,175302270,47495174,447328919,113456808,641514772,108772276,15143,334310602,119451845,715082962,845815958,770588095,780053689,750884050,146805100,74777386,151376426,997054444,61803320,970089028,679025730,231000736,197011624,901746591,953558820,72127361,817857464,331162901,569817753,866926303,629067785,329588220,42703149,744643520,821126287,791661862,917588406,18910910,616341725,49070400,222199248,138071921,215257078,978954490,15113134,316618102,925659611,75473837,79556075,570972450,30195561,776932654,959754127,159513898,594266173,285504341,332257588,13227207,44267135,276800786,294350717,939071374,333200029,69178833,808436118,38955833,27947729,886246165,766068411,893974675,106005680,519612626,685011742,141935855,591470323,274844299,827387018,24694457,664956937,934300497,14407952,954149761,665434502,509668603,925148294,977259042,688097903,415459670,850974676,722314436,987331020,592658736,541452113,318937504,822746595,833732986,140886442,332150007,456758540,624041152,588986989,967657337,427281984,490820612,272936098,208763894,978509156,217108446,757216076,973703807,320122244,402460775,587661492,275850188,141355323,594768501,908736433,26399343,800826872,804881944,471410645,799295479,244403572,412110520,260842585,65329504,541915337,650945297,275562053,575161358,476497558,180393880,688410556,315482621,540893833,590474991,465833472,857372984,336563542,284848705,383338294,729797975,830551141,701698431,299532901,366513786,945186251,222797217,547995566,854887899,729302093,953993132,648958413,43416731,832480508,307566274,416868777,145738278,998017761,977170976,414338968,150582510,449474309,32037911,917038530,572981112,613000602,361254862,778603419,145569549,334578954,376607797,712089707,58428127,120964308,106241307,195002818,806217078,890719551,232980262,205311017,83590928,581887286,336400553,258688212,19280303,378972782,551274703,631831617,73154519,749958960,844360861,821015618,390826762,869264593,831675505,373587888,884492080,902711997,475828966,446090466,572614647,580247366,830813649,453900368,696509977,823780290,966600836,481818025,742691125,862292225,809390228,255478959,413877179,567610456,861918326,680694515,856026170,308099679,898710509,411806334,403463375,506103662,451113512,793072717,801850813,748550379,401437901,348902331,165405552,64623666,30223402,983562630,246689024,650926437,570597880,455042049,668256722,37280730,51208584,622855900,582565897,503989557,750658533,520591511,550245631,79819258,198858805,771584595,437075485,485807712,212512307,903496514,55732353,102330185,820732445,29997383,925171064,457160232,435077187,180049261,426350273,569018402,63665481,116932887,360286603,964891716,928049600,751339121,703405411,395985419,938977235,930614528,403159372,884225044,670443448,830183676,257341558,711895983,375737755,925985258,919643225,205341188,97232697,19638977,344050903,898205056,270750034,979300212,363111973,131060628,903530300,337525272,248404862,914293756,528891945,270444790,545530353,682341674,489050444,399997714,693856378,550881592,612977602,383122082,999485341,754609730,965002823,434848653,869898485,194055919,732996225,52135834,936505637,649500969,266384043,483907785,464014487,445568438,979156646,986843558,930893164,558107274,848920207,258916693,209068312,595603180,149453697,156809085,277247984,786325471,707569155,203052882,86194875,510445285,912232405,546031879,245619473,377654718,511623088,732668373,331257364,755960921,346877820,90434973,9445334,147892832,227202191,189779214,832497795,61378389,430353869,928125595,786644514,159913879,471415592,344313501,49080678,94331277,146595145,229209610,511351835,778373825,193153678,115408246,515399534,233056944,981405525,522068725,134418499,478488043,141240634,90972285,620509374,319102282,345353589,811898881,897754991,298356403,558574599,986176947,644742435,368651541,121568039,502115581,992729232,267379528,650733924,447962994,16622219,362851353,91106352,300252731,984376148,584876231,965803688,112670885,15102180,382791066,394017493,39715519,650039184,668610129,745853012,607435179,32172189,360433865,451139756,739007577,255766655,687165561,727535400,3871863,754500357,859511626,469496944,25337412,529340853,763935102,929333564,765263770,142760397,919546172,887585813,488000417,284148303,824827363,489537941,162435744,293992998,749823452,22153747,716859332,961055393,432730008,352447597,369920633,826680709,622484407,703341699,124196639,193974283,277873539,255478375,145387964,355869986,991828808,604530842,856862597,292711264,242451087,398974633,230122612,668193670,861563346,576526003,404279183,949623658,129849630,704787538,931434392,445629694,712355428,692090017,520683634,709744590,990666616,838918103,925336109,149906470,931649171,302680025,968349004,620574784,442386211,890455857,794147821,173367017,199788976,387431561,756199700,593115293,677194658,189480641,279489740,976295652,324026211,339298996,645823562,926448874,854239941,744304412,406164507,600887020,5724286,999858210,435773498,344384029,685435109,221440458,494043440,111328184,773301150,41943308,593256198,892874187,667702967,93855670,623169233,643083475,714903759,220374377,753807374,536009983,102823353,945435816,989008260,386477480,257344200,555628859,997437176,61416483,65799236,146085728,352596540,758069238,246832645,577870399,232588278,714201132,723773042,338836479,341405310,452287064,369623940,623844642,674136838,127867310,960252926,113617107,430209787,474431646,904479744,803743644,356260943,237421793,484629086,200261875,380945774,790220353,43209669,289127239,519905359,604846787,831977087,41051668,525574697,510182669,270200160,561768866,946595286,541773394,668245897,450440056,424128575,676188460,748304762,624619523,3282312,151461764,669411429,252523555,724006399,702870961,417920196,61052925,41644276,902484197,316375983,735843151,158569724,8640986,471634169,397794021,589015353,994190943,895243042,790693661,133692816,102533708,844827565,273154572,656963534,505107011,487547180,762049412,952081768,796906319,739601940,16003159,64959901,683021772,576489883,582455945,149245056,467849048,518960231,816579188,671419449,607687140,809150563,7663424,411179958,88184054,622408919,841075921,915387765,247270379,224972984,167886677,713612379,682528237,422852705,431213992,675338522,132634967,907204577,273061130,193642755,525660618,58459382,807709076,642332164,822775677,910632057,617537975,169431385,936648943,733652810,816174329,152637792,468397299,221104828,707691387,169508064,147269984,460848699,150231776,599422166,446861993,356813869,799887998,664984792,659388295,837766882,544987093,109532656,104222660,286046136,327773227,267393368,315829706,465416576,927807618,848370240,983661690,429542699,997649484,789646958,920714680,852501187,932477192,308448325,25780806,494867750,315313367,932727175,948160974,786628538,939717148,647444531,642402511,883750726,826409700,805917128,256283174,925472854,233922520,780074524,787760055,19231912,149412192,232761149,844405334,438662600,929016838,887337338,976020157,213396117,422210550,393860343,998708827,936028679,98110703,497819355,772794684,450336836,318537266,309819464,953569238,264159707,957373728,348244813,2828796,223255961,294986327,999035860,138205722,139771861,316419998,999000035,616410222,969673108,120218036,787458990,176047640,333552100,535758482,820538469,394609934,307951775,558632909,977170506,853719073,88322009,681263153,235365721,738860553,670055749,671632405,956361436,530547970,745102966,537921872,430837842,556470240,532441480,164118606,668086368,526483599,292327882,168957924,557077075,300450428,420402164,88541332,216795218,44020286,770739605,583379605,964324307,399225765,910785835,642641042,322818583,60756559,933752598,313074548,171230253,859280934,650437056,253063224,48431424,379024090,122641790,202587915,766426074,681245315,957081502,728207728,340746439,356261220,600421795,550928804,106889022,271580247,879001391,649263677,921491644,800731803,608829451,391375548,286993493,950188651,352841750,956442943,750161845,463121579,570296010,639798020,234593883,172530118,450890232,124391126,348390068,337278470,401052391,756280589,880311444,277794871,968346677,745436436,103491212,42754734,471261533,159916648,86826535,559961285,411712338,541263238,997976268,481226936,405345692,355694461,230098274,111228024,36234693,697672309,653185514,42431272,518300269,835331345,761476196,398508120,606385728,668917628,92612203,709395556,615212798,447183599,544271459,692888037,696827605,188000661,244908995,128510104,195972980,193746913,203800761,907570697,205593148,111850021,967021995,498001995,905728063,92781312,774293124,870509123,460778896,326287633,277656110,820968997,257060636,318273347,200430080,49000380,637403691,431706788,665764777,535447350,85183356,867834480,22874762,106130552,791973742,635734122,371870784,263090707,528275275,915419472,460391265,577462213,814906985,496028216,737907903,399771489,942714050,464570286,292375745,331354654,197236171,703660597,152665742,581193326,260316743,490935698,641063709,626737656,231916509,358549006,932358365,901200354,312695086,799949935,609729138,301244254,575767745,356939865,872254807,695763562,897887063,815825652,84881902,784411494,980604070,462619483,134782614,41614843,728457234,458733103,347677012,795734633,132172659,182139151,750362690,739453902,461051607,160097233,598860373,331322426,290426043,44910521,206100150,379630913,71101977,581428987,44260682,608533837,344860962,617491794,34736047,976272220,168543238,668944414,730725233,154310324,970738971,693083151,72330743,480387287,22510753,189901252,638421814,401088959,55506579,802457424,192243279,782129622,450195783,207777692,391288828,687169380,892051801,365483685,642263333,564305870,400155852,220198143,266775312,217162423,369495080,857667797,535879546,97645517,693270108,847312462,607515638,231525377,973820595,446992499,183733552,151646298,290823981,828605827,321024748,356674044,424313007,171817231,353970950,746219276,725773623,27024201,590100745,775923218,189653638,82508449,286611625,655198879,973826946,723383147,575272729,729801316,338650448,633498125,902610509,125797888,310878090,357000733,737759226,637297335,541873752,578557461,344486500,243686101,159673037,611941498,963865988,66034848,646015914,601655773,873637292,965010756,415901215,78521424,520095099,817368976,278261437,236001456,648283189,954588646,535992007,701860529,195729222,17934535,828339518,291224471,155957556,826876772,938427721,694173085,915650332,296825141,125213509,610761228,986404789,994857013,504580913,544340114,136184135,674049579,314646499,146809975,11064171,7868083,511333401,199529163,946841072,106495530,471693714,800540885,456699105,655049984,302235623,840459728,129337504,608778994,162260225,872979208,597759650,507323155,369134117,463861338,258795299,792901103,192435719,793629587,66152986,417445506,692976531,624547346,157881556,512986297,266209941,218664024,85226619,285054756,336756330,459114089,943225876,610397130,564715035,936154625,733376551,513878429,99725482,236278868,229621001,125823159,684122833,226747339,248955212,30630217,303339912,776032809,177521338,959862635,360021142,419280814,17644983,201863448,964105765,378534645,702024065,554838299,544772655,790295418,380140948,992058073,82575453,284883936,337682214,268636336,918474700,350888004,768424058,353124863,241066971,124581461,60135709,125719128,152557407,658040608,436582622,494373782,299522477,773733154,658112261,916130578,537736451,557937480,440361995,732648578,902318531,423698460,719965827,90886276,740915495,235290104,778444480,969929028,960768577,976763476,447472402,285637692,180398202,279314070,983603824,798014421,119271710,749559783,894211983,724911123,870320251,108253287,465967880,940952206,580579272,665828342,887216876,837991984,719432045,271201558,962633614,594327812,783007188,256974668,755366882,115160720,750686323,909701027,680223926,503490518,347960208,953837499,928728404,569249257,63618989,716232467,413258811,500611434,785846576,979368869,748708873,25520633,951979461,632401791,478208524,340434205,803106862,513874981,429960349,471654451,376679509,975738504,621209250,641404819,499909315,250609164,174173159,151469663,798600364,57323889,423300850,560944601,285169516,862197431,465954412,586872038,404383067,740326850,415848002,202667878,574027489,237939654,972092941,623128918,264439026,590635165,543906035,745745690,331055318,540842938,74388251,253408328,427965778,11975932,435921071,433756788,887952397,777492298,907649701,432699557,705545736,236242262,423431032,783341069,131243644,685149667,31697876,177928815,608313078,908963168,515144793,736929147,170769475,830772480,562962450,198078163,880556923,138476630,860986973,421668,86201811,913146554,279508253,352816721,326870539,591505637,890266292,143113785,398112866,420756068,794453330,946152449,404616277,383401860,810672421,847319474,890184149,786470310,396095866,757027850,592815303,673336609,850814341,962818117,116578510,557554767,757654534,237685909,285903068,592864994,844963268,884193894,228324937,664817895,329265690,3695486,250988653,974219829,231561485,207481092,606927466,465416207,336706129,578245610,846504430,314379010,671653490,812251130,875012807,268308097,77828891,560693633,28106694,866113915,562573721,858810570,454342913,172982757,535712858,180647004,431751807,422976151,883237228,440649726,110254911,715854806,662808515,821441090,976676378,985920202,724047535,169889789,634769262,984209651,348678081,580368884,655977544,187934200,585087802,464382494,248105291,84410862,347374344,566999923,822254777,980703208,25777491,322579389,875204252,259913429,392851302,450814629,803306358,605509468,255269164,115639006,455614724,628999610,240211228,740063716,777362189,754224279,483232915,969358071,350213470,910727895,691068143,511990241,522963194,912867922,439932691,573382167,594157093,870534371,241169929,208211833,304699504,12183068,761279420,19668951,480306923,274360870,633667783,568613630,452259778,942140037,306284465,994262982,478701519,483552267,648106282,805251075,327859456,49059344,310569850,430626053,481683191,477304079,982017914,584006721,959379871,148659844,685014485,612916342,248370463,338555254,313967513,275446540,810972460,258305183,240839808,117106794,84868736,282997367,16334582,624911847,538204963,253888178,968995558,475896825,680492283,840005125,646489360,32467302,424360326,796501897,863238717,165139021,847595326,938503650,974221416,444062523,953739979,831641137,688765388,67819170,339138162,100406174,817894127,403254385,97905070,928516755,123044022,57157796,997179652,757286555,494344441,278522202,61659714,487170841,901695683,62885428,676377077,11452933,882227487,141974555,394645448,786874379,195715659,832783705,58329635,599275545,837283264,215297,407821175,961708479,948364335,459701178,637547472,722458183,102210061,352793364,603932826,289858071,366563608,355364279,865545524,529575389,126095805,586922171,844748018,887962692,866605051,907678205,143874693,988386128,781755067,150269932,478901175,529561837,112603276,150661178,352004545,247514635,990823191,802729462,859674262,622910464,574651321,223997774,830656121,208558923,718718928,993432138,257875533,54040665,130865113,710626903,489396492,975207574,503129874,249334057,258074020,700143464,956304856,501465453,551426125,910868311,691273691,113925857,702307397,222308736,85940757,888622842,632079820,838313238,777813765,860535676,456526441,793311288,498847449,887977854,612658752,42805435,662606078,592445841,364026812,827154875,833167306,130764794,630487045,80084248,121293790,487912957,49556973,455542404,694351211,600334716,911959320,953384293,160151910,7079924,54285254,684131073,298368468,272320370,794997188,700081110,618751914,692243118,315833466,40604802,837204970,758095272,562487164,65954981,146588075,257514499,97238279,367522047,857664307,537817330,917220631,769040918,793022529,883416511,172414107,100895895,689564362,606634048,380369418,178026983,860633037,757296567,30992173,998654321,98346330,337573545,154076383,661527850,870284793,571278437,142557318,811480405,896324653,684328468,958322769,637661371,524986974,807636970,975076307,283563600,231845972,801010639,501291361,304962010,921754859,647691938,562863610,380160421,319686552,591603669,298440398,365574267,636789610,408930685,336340217,231035418,940047428,206373472,887254568,697827539,803733469,62810377,73581271,723290391,274581560,392913284,836772519,701419037,490489645,95456279,116548701,124615525,984998031,866794456,312555853,732949579,733164781,714944598,430705547,878111338,381148841,14421866,307441940,433671640,415571529,406530710,33318547,172916547,956068503,926305204,542543933,996318425,363202026,214951951,850742603,820478217,679017272,780526124,347226463,169391065,206553216,459726337,679612692,147291739,450963800,750372546,670728800,366918225,878075188,444571048,555022306,704084142,299157415,160335665,163162724,630537772,948198667,189198634,105637461,920669653,636055905,346424882,605765318,714734725,455985292,633646632,686775585,145716664,927892653,668929002,571220161,143324520,219287417,314408310,299166426,250102506,769798805,367795305,787863691,632557856,143900547,63767594,643082084,574291344,300190387,700561483,218410476,48314245,112493328,30798291,241499342,151274978,229307859,807664319,571031642,702685166,69018420,337330809,980952665,413220974,335509083,418350677,132762659,565482107,821536519,374966614,108556193,164380862,294620435,654215447,555885470,303157698,448937196,774037888,311775354,517823105,761167908,112902647,622078759,813022712,332380512,286950374,708748183,314336159,108976937,29260830,529487379,961491598,124507628,238965375,131972575,936887562,73521667,48611207,660381456,164171384,140679447,499620956,448422108,972372244,515467425,76778650,602926873,455712659,642700890,378496221,223040852,617146306,553066731,11757573,8614690,418180729,857940580,589949006,643474280,252071113,345373881,279134995,316819484,63671704,469194658,618124244,916790103,84385667,178435066,260738420,797952895,641515700,24285566,146698451,500298713,349248449,670040536,961090857,279906989,508899653,302909405,393415253,113514556,296011690,219133425,760165825,301471288,227624100,340462041,253972424,367589359,101610009,301601660,287496669,245044611,230383819,724761882,832641076,227842864,611501775,791254958,323103182,215017095,691499400,112056729,83203491,771228461,749133847,37953277,877124190,163930912,521507950,446229281,28337691,882911336,431996674,623184982,605101538,431270447,993659888,547624289,180275331,316086478,955128013,773636324,1528742,984733913,387213643,369053794,483159587,753787939,773028483,496729624,386870623,853593581,277354420,290615980,796890,60362542,351794713,935693972,841644277,807843109,960501010,236146962,167513228,398666564,1948972,363947989,316855624,979223731,616233927,487668829,952151153,571987687,67854383,556271515,393417813,860178309,937312987,849612736,186705525,879042996,234558606,32928845,940952665,313622938,169568925,241953127,517087576,523561290,113811351,668863286,184637723,638907643,711259363,987741815,107862835,944602755,275554857,81431219,189830383,278785569,268833778,379365505,405687731,761010488,223448079,138745031,220806658,34332131,168877796,214263529,638113768,173615416,658331861,518466269,221107356,257647947,624066827,288356896,831267743,550377186,270471735,24317253,418062454,341043436,569406163,852888709,687699677,335807919,346890219,810713207,84243048,983071515,687709120,305720488,342997725,1486443,114945283,602390842,712132115,433073407,904839207,948732460,20288509,899111423,503666734,330852494,980873373,18898437,452930780,898632346,166185786,322774020,436761728,31449335,723806492,21926114,640577198,390833474,449770800,494781511,590452364,611717262,330821876,272513599,64495388,321819750,528813999,662131540,501644446,947407271,110098859,807521140,388794532,862233548,262694177,33907558,22702089,838313476,987193897,375274753,246011021,152366476,835820314,432348571,573830163,806265974,712386057,631763092,411351066,65812581,296285933,369605255,279657051,497860877,991667711,560912872,416482197,888487229,200168688,76146443,11840313,486370652,643433173,455234287,197363030,881062242,444295487,849252088,76080476,462090654,733965033,393886064,387214124,659906499,920771409,282814604,78586009,153834015,318067465,901577297,30793104,552362992,291003009,29697313,451869786,77117425,169946136,182268469,313895322,731004198,12176959,34913023,783374507,120099374,572559102,405677450,867713055,201154279,806875091,991214022,947316404,719611534,463689979,606587161,705770243,964622185,879843699,564729054,966849650,543382281,564241291,198384654,582373639,326518993,158398103,716231774,218472697,733272391,230508334,737791707,464117790,292727877,735363686,677375237,349056098,791021269,283188598,12113487,82087553,259900725,385839685,480010002,205191236,135351402,904787853,445935784,742093476,592138209,881432335,153258248,609405900,344671233,314703466,376763687,733539684,174917004,176051981,646137928,292870980,654788889,963426692,818750573,748883980,87907509,781911796,352331509,419566359,528218624,58371640,404264873,467633483,761763211,269104830,299125491,794992546,273229102,707551306,415968974,636665242,757279864,154791267,49041858,283461429,456848489,973638217,619827372,29548134,821538720,610922815,191711606,868294333,20991028,286644987,117053252,638522787,574956787,411470659,223826776,392109699,379411091,482872230,840528337,249393850,21279467,208458699,727083314,278012655,923774424,195038896,589048353,197279361,446403117,554322025,995179237,739918138,420923845,354342605,866374,797337711,95174382,906853483,506975667,456530658,46913881,60229471,604333707,286470860,631951898,39173198,706627339,740692812,517299949,126966573,207992365,816686236,583468497,319275481,684143778,533506565,547202430,336167876,391023031,656094647,478462794,319309476,289492827,847497995,113166796,838416579,997770531,281995652,593315476,253420548,909161982,672045343,321425874,717285902,666091623,453169382,653849043,593635844,484802878,245803126,540738615,58586780,393917796,462912866,824432057,106780786,796983816,485685634,251370991,96091292,462080987,813856581,800800363,717156970,785414925,58463653,247997904,589245095,546307450,271390048,137661951,161925581,540716341,342239359,558831099,944884641,27433643,775125094,944259689,404827637,387429356,51138765,972002107,9012378,61952848,559641317,833354351,900167510,601267377,415562895,438847771,59729495,7350058,957436028,605683692,902899162,256527717,930960705,989105277,301932462,803342511,854756781,872630859,601744774,347921255,755189817,522425780,864240466,749332805,546950752,517799691,725756030,155266096,385361467,979814632,253696182,325446728,976245687,777564580,220086455,288238538,634052695,958623576,590975294,153156790,298838211,908039058,815286149,969280933,417381145,89198540,826454042,917157,425739183,741978497,311173520,743803974,344176500,75308588,359370169,197260026,175886014,722118640,460442134,71276817,502383650,345727946,532398518,974426988,252243928,516166608,903968715,456847287,953118795,12582409,816893478,180971593,453849538,345838643,482050669,165803014,335489697,465572837,609725861,735588255,662645402,700060199,50892494,956883929,256565054,777353041,637630542,405645327,702317172,430687997,890561509,206913116,742190890,632144757,885401053,753335756,266219968,878415844,748709932,426484356,101711970,943736474,572956286,386051914,469097956,894767348,510982133,709082101,693676976,839985249,433103918,477294232,130497726,383662728,687425736,102267091,388401814,963521141,386091578,878933713,934068801,598091052,849580725,825604151,531951082,290031678,340298782,889915935,490782035,909912527,942264364,749887425,474528516,585780493,884784362,93471436,602207076,531749924,911397060,16290252,996064428,986890338,914457860,592063925,908317684,724874559,55845248,782092383,286217698,51636283,678238694,941504416,373885779,477671866,993529974,699910740,418498391,569852919,979945991,370531458,705351651,796450106,881724305,951895255,575347644,2045846,988245342,722161974,448520485,650824833,567740220,426281287,980630690,821018552,54586565,573235691,778023810,627734674,705026294,635960785,561107529,674155158,190789455,95748260,119197897,351080425,269644304,515256963,377380921,339220249,691673508,589612070,606338297,777334627,487671319,791075602,245122141,727587946,646445999,444446537,85393929,60962074,673252950,81822605,996085297,221568757,484689074,816720794,907120828,288129443,445916466,758556770,558436795,724584761,802799180,726616841,578960803,563817168,58522489,670189906,253325447,131327027,316007451,103278138,670031673,106971644,553311863,924408071,826139529,62531051,848354024,648774467,947197990,260855102,430368462,828796272,683403765,916511649,216293762,10985269,537587390,761577268,97272898,163808932,300127237,110406073,257904027,737354518,132306486,141870918,243519709,960608064,601551606,657993056,587108152,14729173,4586429,674523695,651032778,843837258,814653409,27092052,201906252,755091015,267442880,289011992,394508154,838450274,216769489,993851493,264060454,816089017,221368494,562662697,704454643,995259089,990592028,952650268,574105553,288745716,885156099,294260756,629807457,309724450,841339407,430733437,751998218,107378446,875454021,777637041,21609975,283553643,285211732,340014765,991867310,20774929,860889415,517138036,905134655,467651853,261078966,712175624,74824719,686483973,301593293,802538206,346972466,244813614,268574953,910723331,972660565,756078249,306659636,884113995,465821587,63613938,119609117,387368069,435738287,256518534,298028824,896502506,299576358,72148626,972054699,388533699,595065575,464558503,539905211,31414024,920306370,606610183,649386377,195122115,164276907,707004571,19399142,231856699,965283439,160435900,998049084,62789710,979056927,68615115,556885671,598860058,434530810,132831028,849992503,895023130,532670987,727883743,261884702,660081669,47870041,866335683,145050228,541601550,668055325,48687120,166614520,977049458,644514873,975480658,150769640,890222639,483408886,535137016,464404875,998282130,961174508,652510275,472109164,258722185,983914827,921747437,568664163,264690508,47639884,359402252,325252769,568580629,60341477,283798221,848950472,33531419,132646795,149131133,816507575,940525255,525727374,512251126,190938898,359161667,679523850,846959109,517693030,724670399,444407886,306779156,196991503,125764944,216164356,600424972,591057755,212188248,494973473,229973728,770691103,996936297,541295366,13076799,233710239,990326536,311517639,798931539,400620784,390268290,884018857,781252042,749556654,932200053,108593752,907526778,356573,539004550,786519280,747770062,508888233,834930997,166844713,293130531,836703567,400505372,951330605,50863605,405321742,785815897,774348701,78035865,856743472,318003075,198017501,724903609,766438836,559058520,222982114,835990756,763454400,217828568,379544060,958496350,644198945,390842889,946244148,109152873,599129803,384988029,932179204,172951800,157563902,161373532,215238693,455467187,627909800,229351684,831472133,611446737,587069808,260888219,690831125,559436031,2402684,607761016,678913470,592194922,45185136,407104886,609504119,391816609,990773546,157926070,947209694,551821708,569119459,839214728,849879175,587494820,426748405,565593979,928680683,257010790,10058215,687507118,876693565,10027762,967516774,904821524,314110494,410624383,276125680,721174904,150670733,243529426,851906390,703654990,597938900,678457798,197414748,258361080,754962079,9685797,585794410,249767635,779788626,169027366,470317698,524111286,366136190,516794145,696414576,59922958,851737237,785553012,825278071,592685387,403774235,328364295,755635060,646479695,616739754,725521717,953959478,852398885,498199141,222342342,490388435,573510753,745000069,593919830,596520112,173863195,2428080,193590346,495764335,656559339,778414882,948360856,342959635,358461373,720430145,760812979,606710829,9896287,736171609,68366843,397263439,586923798,473596816,739333950,336605963,103316189,349817474,572770209,78091530,558884177,809568555,460688109,486311253,893985452,285871685,836248489,803167933,718677519,98404895,118141850,437757716,846140988,51196137,913869935,21820073,749442743,990481516,797350440,405687812,43026369,671808450,85168860,531326969,924163427,45653513,979866995,693933003,471786227,314037794,842925410,542438724,778635606,864710782,697873172,926738149,305112005,997823024,915830406,794993955,956538427,108974027,387029178,742950580,459701564,42965120,317176081,203443208,680530243,112842131,502105211,1350396,54463723,991663140,304263854,224331703,404416266,403202490,10858788,649401206,91023278,212863832,801831347,128562649,139581336,824138772,927150141,583007527,204155779,121895762,769921346,197239711,265129659,123499759,625147835,33423262,455357047,808612817,954562288,775396166,419868874,608209372,465975677,341074870,321810422,652140307,507736569,118928940,36375651,291395066,449644429,892943574,712015544,441343310,88481792,195252718,826500583,595333048,129293097,953457164,643554128,489369424,442006958,917830761,871013603,322336507,627515036,558495249,656216879,712225122,280186740,460590871,414710960,70919730,644508246,981543447,512010438,132691879,471107468,568423450,612899275,464789122,824400765,704588485,134872821,700556938,883682141,267562561,861629649,77826766,467350622,385344417,667557901,399920272,114566754,900133875,819715257,621920104,604607690,827547463,196551564,300553258,781966258,540235829,317345515,507883788,755210646,662673622,680722830,555556852,673331276,788018928,228589778,463667753,897384433,42844891,578278904,940701936,465740521,806207236,219882441,457535342,144154414,141354164,426452567,408746667,944818681,176851879,484315225,557661795,990998806,994356017,294926835,827334939,704085928,226862822,330158496,650667901,284517193,665885668,383857942,954009461,294567482,764052029,65287890,238285593,784326519,326342128,454658890,608642566,235560919,413452637,183240619,80207536,169785422,377555148,586451482,288534714,470679047,708253565,525611847,843355994,135213568,465230973,6549158,543845460,829219886,374205267,193183222,319875197,280486179,155965125,137691506,777649013,159493403,276164284,772695783,970993009,677263480,212298030,809876549,610384994,497941787,661756959,828733392,451380180,73136331,330226694,405083189,404043422,418685281,867607826,887083640,434866815,348001100,422874207,165958295,96234495,648940034,600989738,363986215,918200949,552773242,407738696,108317494,829197925,109511422,19797366,633371909,20188801,613464919,818736774,798706381,291127556,684611855,466382067,268776926,791194806,265220493,330462093,515376559,517771053,157040975,911272724,189743406,548065604,488649091,430220118,799504010,987700267,419198556,789135062,293995450,523148902,732738361,920438433,6619683,589350306,488748300,689937429,122549619,190743651,846891180,705787144,424488864,724480293,335691980,8938617,997517991,108922953,545533768,343897999,570765936,963767854,306219258,71976568,363674009,244060830,444270293,685999035,327249848,562154346,893438946,4508880,495030682,738230909,604031385,205415974,613599877,234872674,901544055,713652155,149272598,736931015,136660534,786270310,147599474,847414309,54214919,343086308,353886701,274099282,157445962,59034856,981736018,799428793,535424676,151290334,135537622,960569577,809144975,54724551,786502928,831884903,58464470,101536177,209980843,462200257,701171657,862563369,653648249,382213839,849641439,842094574,798443641,265116082,622158709,661616772,803100582,192628986,685382104,872660154,271415327,111564567,98316725,724364285,60692434,31559230,600985722,781326456,833341369,278351250,320936175,806034033,262937436,392563991,744888783,573742602,792841398,376885399,656631046,798018058,346281221,742352191,194405790,564076214,645693868,900361748,390889661,90553738,466633023,65369693,636530810,706521379,142265004,873285093,120844306,890172332,612826120,642301378,817347693,55840199,389568252,621729054,32825083,152734218,452720442,162672147,433198168,155559252,880880206,284260700,333082783,522805321,990180862,220951251,284356697,893981307,987784380,425570801,353410620,486806373,6263646,119386386,742468780,722478176,97490683,705107656,567026528,964790179,820284152,63009636,359043106,106255641,757068799,183069108,34859115,11937883,528643437,570290728,174222811,232289587,414831936,500442873,82570980,676453958,692543884,461169160,308194537,894525582,469443714,989785840,870323140,143407751,621025076,671875409,807846448,430303597,781149793,902239197,574395973,342090029,523643234,89636531,424615660,541911540,391620792,156388367,430831640,537941102,745303391,32553029,226412137,497139473,237626439,545817482,18060023,79518684,928008617,536298217,731533279,495117787,512086274,819883484,911666797,630881042,203161621,463981254,625978948,801336016,10444692,47085309,108046857,287117872,534773565,957025036,674109170,194407472,32336219,775118275,639288239,324622832,382332279,179863093,877214887,922937142,187380120,312531996,512122953,302839728,489488216,183921153,811045356,550566821,792609439,97718392,937276256,911701665,113840434,381016650,77357636,943225408,392148852,760407912,30900939,194621507,177706200,943141039,990948166,608365309,796471355,278925257,263603659,26401613,445982566,20952203,208564618,28480355,922016904,426820244,531797471,987264116,982499972,678915474,17476205,340524133,864747451,436354997,785367930,838790980,29350845,300582491,49462224,341915903,846818309,853878897,20288427,593964155,821679433,147927996,215323254,169766787,742251220,669900419,666672905,906425816,31157708,351196972,258861617,506235278,797044593,986844996,713019738,157584246,421511074,242607505,871754649,205044322,942122932,53327157,839411293,867656780,266852062,570478968,437915410,195396578,478519951,680584830,738316723,219343957,719987168,995456328,277051612,545694875,77396520,578939910,112826462,303537285,795830032,477275918,967586649,938279109,151962224,739469285,159607435,715495738,9829400,726711142,72883014,152337231,508652943,427987392,556949624,340133707,121330728,828236576,786788568,61257842,574845572,487612329,992968858,484303004,41421386,476982929,419036097,998211562,405830545,943606858,67528588,681361818,757155662,708840255,245060801,809203759,570827044,99079282,172803633,89167331,770716341,737997595,525989256,117423790,2920949,555007730,945587022,738351065,354688622,586933932,316273985,450363232,975324566,943344756,95387341,62997319,183815509,436469243,667453751,347743531,887685829,260813214,889457557,965637988,806415996,722093457,729657810,990380315,116113238,125293319,792279212,619656602,209182362,236015176,717500836,553673153,317527908,596288634,847917192,710604885,172122034,170757583,995459481,926313043,803232131,229261362,255237547,591567781,762526937,352884166,344533053,569829582,153675619,625224098,104017659,68284186,128582547,473329464,794974943,998847345,136313108,320844976,647151063,658310652,744716416,406255035,201389346,170707280,865684108,515632085,185129852,97109342,538604431,385725307,600151081,718730507,901956930,733964363,954013028,844497094,718337504,553641586,416372414,794649706,152519495,588727123,236554339,443401622,984731951,545320951,565939557,413598472,354334918,108114109,380547511,778345662,223673555,323687166,588496735,463059752,831336668,876370476,562935018,752203108,977246261,160913996,190915026,310257687,185617524,707409230,302145583,787191078,591414186,729022100,114638908,371760801,683075092,270227515,889152732,453144951,730541183,368250882,731722640,365077666,498491700,12618402,371884096,286340874,663088649,53784367,123063390,532085798,193933065,269568081,571634470,846869964,124682042,155348589,87268628,668994484,812505550,880241455,920863026,963404986,352457204,739342692,857833872,667709295,728959902,437715602,434897586,497679923,34599535,694705317,224854050,919250514,202506010,468990113,977224037,643902530,869121414,277153627,173060137,713683682,778074938,87803073,551666033,926953759,453496805,496293880,902001288,556849003,165103541,153626685,229455900,506807824,32233019,461675603,73620470,624821077,480002298,166132035,40861178,189495793,315976251,44794252,879375630,179829481,979832059,359404180,993080078,613634475,47558014,9631398,992649043,459053800,986724249,149790980,869094582,370994171,920876462,672787968,817211910,923982207,757938257,974124079,723644813,777618424,273231152,724946133,491654676,783696001,466604816,471942547,542944813,454729963,492757719,165052899,817206489,731662519,215514839,87967276,215884576,635396862,944553624,47524609,178374862,496991419,484168370,736039023,392755647,473722923,834775781,442340,512621793,619967668,691981549,11975863,871904608,737190552,316649854,603902891,825699241,778589325,880982829,762267127,60845037,95197679,543581449,37904849,482187461,875118410,699438357,432138886,208094298,612543447,221524407,867782989,186013654,153884841,411153164,141692019,662866156,96186042,51542797,667326140,31381101,692552918,906333259,104342870,490459661,892229609,163989262,506991866,499558484,681478726,926306541,717147213,759810202,699865714,451763399,505874523,100499182,252097144,588611890,35812836,316027688,98996722,426769133,654301427,424605170,977140702,187445786,458991664,591299924,656067465,877911367,453767218,648067444,234643856,264765422,182416821,620574394,228314448,628331454,260763127,248306047,490057866,244208299,619375875,854417933,453175126,265580746,772120329,175764456,546030604,482074541,365852163,655962218,202296127,630158590,505235523,915650098,685760341,53459235,697107869,630260128,611449319,188307887,533390265,41863684,32362875,127931283,702673010,311996002,191416525,464240823,940345693,476180547,112007736,198027514,31000073,558003157,847761710,347319991,703100116,296921066,838732571,217207776,897995894,995480629,799288331,120261396,958281703,1313668,997916288,20570701,252777730,875414291,631836484,649064094,66640755,866937468,632357546,62803639,644889143,893506597,622457363,836242668,766523465,748574216,337006002,398116319,326898727,146490735,995587626,451874152,311271217,934895058,74098736,356432110,868795487,661332185,653589476,482851415,66139717,428089659,900495746,209847247,461891374,598185534,722712416,244139753,186029009,277683159,261500811,406404949,486119081,546327672,774720307,521277312,233110445,676068105,438107303,191745561,541452787,519857485,552037713,498653315,327290670,149912364,329754131,223534269,570871907,785201889,2597051,283958264,8311326,342916063,898070823,170529120,167203215,361153274,623374763,377861724,335958560,358249644,425292755,780137090,797021738,212712345,194302869,392676553,214660222,518321611,63317945,964119570,17219575,52728074,658263904,738667246,345205166,290834844,735156676,677177469,747265654,13135519,28333023,715957947,445772125,629270424,52789047,146828883,873112598,614538231,376653431,232591332,715448944,136372885,504847124,105512964,703763744,145430733,208016586,498466706,369427044,375676349,67833988,252376860,824102217,313985408,290080320,958755743,836282555,330627943,945989589,866796778,751587750,67169381,969752936,270265137,2854866,301498944,185214379,212096205,799887214,9694532,40957495,246906097,695724003,222836218,497851722,548396075,883878537,621707025,238292310,127975225,897187392,676547307,178870299,772972641,671083257,247898145,675617930,918772839,246917616,118025003,388064841,844359801,182899024,145850266,833118590,611577370,686742745,167454242,747475028,324973422,277686449,122589627,203398709,574667255,443670461,949334311,187535948,887708694,921251737,659863726,286301788,174714249,121242048,992760366,448567513,980701428,399446777,296640931,639556543,605810045,322054806,189873409,238596546,762881626,9437755,175369636,304725489,545287717,445610350,298306723,10217465,647819610,875690487,439584185,407039690,14446589,381800794,984671341,606309618,81985696,764675846,184170227,338373372,976330745,365497019,358119061,294435407,858608468,320439994,520765389,582220335,202589889,106867465,719701437,405046932,114202484,891328088,831141079,146126689,287668408,702254148,748028375,695762327,522101018,520387857,976746242,87679053,351742127,707846341,840435806,323485178,369694408,353358252,942153852,905325526,744563839,257699134,1127332,496616855,857632805,8404349,870181062,523354250,758626768,81705988,9533641,57513717,814284833,609692974,486544101,347332349,664442538,306467173,873805829,161901572,504329977,174761093,703686989,575407382,850857470,361182942,540020159,735950564,36010420,970684618,710834089,851669574,33958484,634241053,814806043,38229859,214245468,68579284,621335232,949836453,414942814,384015879,106547471,735043509,960321856,507137108,104692837,793190478,849460872,529294209,139340539,520975163,565438506,732883647,79616212,814170030,486430968,41712649,577796722,536964137,88470959,999522484,149635991,554730956,996076564,648572209,197432640,688427381,798613797,620501852,211384802,257414570,731432274,272981280,368608573,892895220,992563026,674921214,967071132,835427092,213672377,565593841,541755313,349064719,626728263,423820629,296789997,816688259,594691298,132623746,287738464,916464658,911484456,832458226,39273505,407134111,115710919,404476099,612427588,723972435,542623893,199458783,914839742,783352484,139950229,273074757,861034735,266305940,171585178,409634281,8650963,120670379,853049793,938062408,564310402,504402553,973085289,966688738,733400839,83589622,853784279,182561468,933016478,183834827,166645200,842211619,982622031,125200762,24835594,268568669,330637877,313803800,181710415,364401314,641672767,359423523,431434728,940997139,715566248,229151854,741797402,5931786,861043578,633538226,80622397,423677916,741454461,107942022,91689890,161055793,977903546,258699886,177895223,980971793,172849750,107740608,858260321,603618509,881216520,639598220,921655400,12051190,542991559,115093449,262382204,677896729,227304645,460810108,369807348,217174016,366580134,628215248,921323766,220084660,644461226,831903615,600695166,778047461,300514072,74581,743169134,648863555,653282666,492221264,461082004,307636880,988980403,123995054,406299574,122560547,74491876,172737328,613085060,362351669,689596711,645505001,872933695,14055192,11953680,449606909,172006001,330583625,9818520,111513360,459396342,271319595,123861483,422611310,487442653,943489391,84730064,55214187,715863157,417933582,248195929,731775222,885663700,556358025,576482254,409042637,797778291,691447984,328776237,872121928,422585110,738917595,883412487,426478400,766949265,162639057,118635136,578505744,867202775,23172157,609765950,478393829,864941630,600446511,242498027,91713480,26738047,421270727,471026200,679023798,330044048,597351003,146130974,21501759,713966727,432492067,897133061,671481724,27762241,651846848,498820812,129173254,948758985,296222361,86016778,515477027,363231092,896086917,930176646,41627079,133186787,546489395,229285997,12229093,337157776,935994358,59315107,906018162,834398202,264333558,778300657,839432961,742902131,706808451,438793113,167931896,800248964,57512516,323557382,953346957,548176753,26168147,959051471,703181578,86012355,8473137,242496261,483669016,185490700,732716980,557880682,644807809,597608082,133963713,198355346,412355202,709362102,495131915,134400141,905239440,351448073,87316010,873373561,776686831,14093314,508585579,765550934,366408737,178107221,475404119,266404281,258209036,884436903,117533555,145581932,95773880,164664182,310264280,311934958,783208712,341402913,107890622,491222298,796384490,895190935,87973827,236274650,641330057,484088816,790896891,546899665,575719627,510798465,426274771,837506632,775472092,737691384,818140776,68460332,616238513,598478541,471324647,404830298,560391272,998051450,862858243,159746682,493513174,967666279,922846116,896009371,169778406,361682457,726144321,15305067,671366795,608429450,816700548,583175966,616306608,584450670,629575057,17187296,86946567,103902956,505403216,543599425,827880878,760927324,414977,486193883,353073140,422774743,359881670,554960036,788144593,848230238,721910692,185997638,99595375,662845579,238074859,384640418,589723272,314494523,29601323,427408773,730157190,290108730,542870902,935817281,951813511,720429055,167449832,713744177,284296239,800577758,744468998,661489010,279499894,304389837,37767371,119990541,217067017,315316249,610557012,594239466,934191494,984024499,647385818,497502158,320315880,80618142,236857283,754570336,927232996,153412795,465166163,987695357,753486812,365451331,980501548,480544171,915924489,413223040,600558127,895343940,785345544,179575937,271301345,403497563,246953947,333667220,466014887,616013043,198646739,33248942,880097511,898665794,339356884,671768652,188436388,174368790,915618317,316306081,322003018,878854317,797355460,517365713,870968147,522342448,347620480,331554312,744007986,725856232,330069844,750779110,595729051,309014201,568244296,973183088,203834760,428477914,266722075,108344959,470491939,286553525,266628579,49325037,474484227,985895560,825990799,999541396,812307172,947690928,702301075,988479824,424275016,839627751,98895144,302143135,795680435,577159139,676556769,898994121,446213728,550694441,158730022,795408710,217827826,947582260,695682870,421744618,506867681,740548863,415605720,799998821,707312254,486784834,352144473,512804256,370108412,968220620,751849720,968391443,471833725,640059088,935692959,453369670,986270620,850893462,350683226,233937034,155010735,174601312,351392438,317392221,897198911,787246655,896922192,14597357,493441053,412087177,911569346,337693089,142060767,340050583,735380034,230217643,32748080,443467898,389207592,230458689,581355088,584157595,161566516,590594144,946364235,810614503,683772130,438413901,787138180,854611601,887368872,850743886,248074255,497736012,521989367,17286492,395534138,920538211,944831668,565191510,106532481,553716479,128933850,91445332,537593932,81183275,125287075,27146105,991818522,733150833,855934783,354720353,169670695,201883589,512283475,815109410,63251443,266660098,572945463,963018977,396476074,184319281,508078588,890204360,825915325,294470303,591164655,519222607,895913580,872434428,858604024,942396097,902526432,916050746,892515981,141290537,777448375,553867931,859547631,170493017,105361766,436590747,547134683,532399450,173029660,558130042,207013658,475637827,839858299,649860872,466666402,806399696,220900406,967624332,295035213,455161239,945023208,32503029,26187320,574918836,323422816,234581519,688780447,965030886,600961373,547608880,272818213,650784991,343040085,656849783,734072615,600213516,871013796,739955702,345468681,792207893,98760916,748207293,901062628,295455124,225964042,729711622,887053227,472455847,127680732,560049475,371748860,537543923,500374661,559170056,690172804,554505154,53259148,926342178,245726717,798427589,461321811,903852612,410519443,685323675,354179562,634819816,600430472,172457845,984323692,512141310,531233444,996246378,473784841,831910426,471440340,272566913,724415401,86958519,796795576,503606677,532561766,418197059,334158437,199733066,226075450,426558898,25099322,569874190,73559888,116010609,741077191,411798902,161021627,457449456,2147778,507173039,763229816,744377988,697917751,347521186,354976141,280667748,422698030,331512260,268505708,323325307,240009804,243703631,264326786,968926828,464764044,868119927,546177095,491198634,557859012,886107288,334754471,537842786,640387567,173001531,149857820,683492377,996345078,322522778,204064896,281462592,381637198,516003017,72923171,263450941,630861250,451177575,768962166,858270187,142496599,223875391,161574767,650959681,456047900,298054014,697227559,386874218,153131952,902688426,506951022,960446804,336491567,681047941,585022526,770609471,241063013,107056880,183141401,785601194,894360541,290370145,881307846,153768971,714688692,807516705,284159909,705428297,83595774,281818952,505705556,368737063,661468693,755026628,907230138,350927640,980068945,390698571,8916532,442288338,401125584,752009971,237105005,485680502,411197966,210348861,756255454,570761107,251361624,110921213,311872554,181921493,968464452,342499338,433708778,980889229,116202300,535683934,437135330,222312804,951153915,227271604,487219210,36572315,725091108,229777757,838594163,682953167,302162714,511820162,610150823,93633042,78472830,41872467,587369019,533484518,743754515,821365971,594971674,330777833,188814352,319177044,177803703,919570283,552786026,206498479,175778533,11794624,86277101,902534027,272246441,890084951,760541439,434313469,268954505,125056947,237050585,112083877,137926498,223903676,666430550,849974770,261244504,931524645,990084284,211256492,886536214,885689145,901854031,265966443,227336963,473066803,993567653,4896356,598815484,186069922,23420650,393408576,492935874,728173655,704547929,30690314,748354181,570616796,557805358,6147215,347211450,843618342,916263684,553574742,417771111,708843389,384477004,317304262,563225957,614207801,683202729,929069655,543330660,901499916,104748363,599388484,92005215,172794117,896145292,621203205,220936973,53190142,59213390,887795030,250446283,84642348,547371362,186738302,81615410,980507272,564437903,163245447,327271037,385121938,505390446,262251466,686279281,712099161,548852134,974237296,833874427,690824300,486380894,364552633,638530612,827536442,462517332,586818519,107279603,939635405,225967854,485569845,521217482,521656624,890444324,614760924,461570905,890035125,370713731,897103475,532961240,828734954,980191678,14130861,205459956,603944615,737310550,185821824,282419797,909548044,46945316,107529582,782033391,833937549,283665733,474016274,646828538,1881848,315108064,323639509,596580891,744757386,468398593,428998309,507414235,538815366,477550861,327378233,271899205,261733653,814540610,308056385,139758794,246437359,992188453,217595880,548459861,364778612,878734035,353365015,533182532,774708459,934302790,4679590,455891009,242749501,38808868,92149996,434836019,942623703,528593252,139098043,319226909,728023652,776741863,559999049,522178432,456933015,935774928,937323632,274123628,774254934,688781088,125363943,20324663,522845087,503340613,3825003,978221858,819145630,638078889,268381042,815499557,211094360,659483405,292617918,238887483,563075580,791105773,870022612,739052488,537337405,530985204,968543059,894229564,206105413,630365034,303511320,778029217,797513655,119788579,55280921,481478654,950583388,62343432,422015211,242940102,774609741,623548164,666156612,847563511,937164731,660730147,979139651,271510196,306043249,462456533,807697640,38219508,521249328,169328600,531899458,145785821,983467265,630163422,124113191,666309738,548545051,916925180,55329137,884829043,324374068,334278960,394773340,995861686,206359553,531299726,702697579,208875708,349876995,167811850,687952616,323439457,821715818,918820186,1297932,837218870,797542532,960890590,250382297,810900535,782642987,336723517,861194453,804270336,804865826,867804392,702888413,674298471,150456033,288237389,403671510,131774767,170183562,330009131,205838571,791890360,135183942,316397383,503359539,410463861,685255367,753545236,468481402,721046832,557021488,847800099,648689391,746892646,437856219,318385073,220762931,954250454,560096523,145654327,153942105,252090856,935105461,235404168,385406559,300131985,488856405,480247607,604574330,968883024,324074081,347195111,225526450,273551953,980278195,470187683,211547309,309370059,556020201,349363867,215484767,69962198,434063363,757007674,354644027,67826910,673337697,975813720,525310745,172754706,762441713,970836480,385936605,770053146,934530055,511630283,675865709,957543271,38251196,971723750,119088542,974000460,61245967,887513746,445572739,255700825,979935516,184577751,927229700,523372089,1758299,137316666,928069955,79119746,413969414,244901239,702463021,892905162,58808988,643995554,588475997,542541913,334127223,275072952,187039507,856955994,611145908,258547572,743114491,289838669,827185987,307669676,823207661,49657575,521263783,658036532,867835084,250027692,400374527,36684935,813073253,618284798,374533102,907429447,33434182,173185727,958671586,52327156,112762624,229505271,248170530,619947001,56224069,590846031,954250740,390016313,427843934,74137324,463872970,953909578,113543635,35811065,91078051,927007181,314624345,93628619,273954635,516243110,283030674,485296615,461395039,817723186,340539018,564650812,105364077,742456298,336374414,797855201,764892998,870493967,270025945,699698000,139853739,355754692,196198558,568780667,791416076,967451586,522774814,455503939,720744877,66949202,698371999,629537874,802890425,322585299,98151009,311669820,392644085,496965347,869635824,429286351,509086231,755414485,963529955,819167934,452996061,799022192,360057958,780493100,865852236,507544362,3275721,568470358,681204790,654627912,673467015,990318834,471683077,16610148,639009355,280314225,35094233,517067462,930217034,21054450,625362851,338040234,931773430,415801279,910749402,525697554,541725797,188662893,806699349,601930411,315727698,529849255,878679679,987745382,840478552,244017873,67031885,275934095,562832390,751602942,771287211,81327771,93053207,101439545,774416127,963093221,995755280,436964977,660520899,877225996,742391539,263858434,65508562,140707971,398571869,527797813,375115941,303803101,736225296,675002274,224227561,632626016,708225093,963377315,864815662,514190751,371440826,780291505,352433255,622214286,474860926,716810973,207859786,925502793,582648294,102174873,892247857,152458352,390511427,34636965,802251856,611036659,12148293,954591041,672151089,477064851,189133809,76116541,622573186,754802530,343862251,761136122,86542461,155872665,330701378,127141162,696354287,148967020,151142541,420502568,38863298,914946679,845028032,362766324,961841758,294765299,658217683,796163191,425960428,448967041,151536589,724482436,708665900,775973045,971591742,780033422,649675707,24621109,241927429,61775838,324938465,63032567,554620394,681563309,972098920,479565653,314444081,739249482,894905574,442226691,614513915,607293745,362082804,192672486,126839225,931333616,822560168,319453962,146854763,606709071,23836743,76971967,996510056,530709463,806585426,158733218,739550006,853651728,825262328,424427666,4387005,462811021,712934210,80754384,245615000,742887035,100473934,414829630,432235234,93676137,756823682,293172931,247152838,146000649,870383645,487804039,699367056,118733112,242767304,476146576,109243013,70137782,342078514,527785120,331481096,363103863,778797833,945684135,615541804,414217982,310989722,469708125,275992242,60743434,480446373,234694832,632901352,900538717,705469566,767633792,790561620,559968454,8049662,264263068,603937241,878432962,11165548,177269010,122181372,799692776,497645544,369457122,976801303,939165909,151704250,935976949,944592807,847340278,556473882,515975831,697811914,674854390,461147316,525663408,790983007,706194846,884514830,570334814,18796688,562441672,404794093,968908580,724112435,187556901,213142189,608109129,571689907,408888829,201017173,64314538,391489591,932660241,71308711,830487678,259546711,833864027,405409838,203705246,194943067,8149649,530298323,790793312,199644008,168541092,245550943,754453352,117357792,173790276,180853916,195764196,339294384,374038993,881429358,471327397,121907256,302865816,479967399,187734814,559084147,701944968,473489918,23233106,304094387,291050114,778441682,314140754,537309851,155618637,277368308,588731190,11746602,272839426,286861514,767391783,906725379,33464417,674195172,518836707,808985473,94846448,91893582,576208659,370743767,411233299,425642460,230685452,647210527,549070761,941334062,701333138,85060520,500708047,215020652,413930460,308606899,345929134,328207265,811894158,814853612,161057203,254754065,254888769,962552423,909820574,369565250,165718363,747120143,823124966,109371892,24461072,880614871,912679000,680372906,502017243,832931154,53517288,650523392,259698858,915364997,228417481,434581485,3785419,246581182,229614434,215454519,589406129,380477277,496344280,975529856,899437137,351715104,795815331,728949621,609505730,769988150,510304469,27016887,5496022,771422871,828804857,842436068,622729311,490059869,969805273,747903259,226947529,187196705,506669114,73091243,674482374,882110624,377764804,76243807,635227579,982484634,430797093,811495918,708241560,684673729,849892996,442175409,259008542,916740787,243003276,80522221,613201087,355738648,922689174,106351878,94394724,989964766,447179277,769475843,767456622,724765926,95609116,783816080,163863169,514131855,871798468,233962546,34153167,353914373,983311913,20465812,966322731,782323639,578075909,699172942,226500692,331413969,763710309,24990031,531618942,87291177,592951878,844452686,478950129,635873524,86302353,678710175,611600302,241382769,469295586,41432549,592103094,81738590,576386598,682695945,161772334,94134553,231916578,191152801,741656636,842509108,710615236,877634668,96424785,939185597,632279614,589768401,367311132,863003947,591958609,758707904,213921104,544825171,331743019,448709235,43150156,530037275,153156216,559770434,643455064,82055602,928236452,36062429,78924016,304000060,334406502,816435525,754522181,847168392,544808458,598326936,41223488,760960230,987404719,854757304,788573934,252769312,507326039,514153582,428555040,157182227,401915378,845093000,476453799,610020277,927680896,302486644,270364126,971120949,180887324,998770955,749629188,515413732,198979406,37208189,819753238,185229389,693993519,467035039,665990282,2396696,901146289,742110695,437101618,615545556,322838390,988052102,399417706,588996642,292378272,106953820,130785236,756906991,556905255,710765986,164761089,596250941,900303311,539742375,394024578,382835772,215546627,37115079,802245606,608495420,686488034,467963613,482874363,851997359,765228842,619743832,237113755,618035016,547969799,559389854,244797623,355996058,293692472,353227824,416838461,899770542,413773886,822275620,234139753,985465812,461994814,823611720,199413435,33393896,680794849,485563965,66331099,827310070,632430485,403167723,882493430,852945797,975189003,439393004,605610248,620200396,201343644,556300333,860219618,74847683,338671914,488668559,239810432,676346726,134221386,222219200,453122453,797247481,642006987,929952985,593448035,906802070,908182749,908773574,413360224,409094599,361425133,684229157,792219243,760115082,627872972,324331829,290808415,455763078,255328575,965985452,244054356,41893464,321999562,953232027,548573780,930293056,390315957,254828021,226376972,774509318,539097021,713300497,908167889,102125054,266225088,529678251,126455143,190448620,140005838,166540267,784980784,904695534,495373985,941511623,456823278,615333394,900973898,427432850,759027799,881677806,688847920,418616077,782104369,123567929,108861642,718864584,294600539,899530781,833590224,662660364,2209342,102583926,576818238,666210173,594834401,384547173,732021959,651804499,494133374,481872482,115708595,529714257,477335298,234302155,732046390,502296268,284075819,9799418,757828240,987195690,555778099,269093010,504991221,874248225,167845725,663923527,780711788,164195413,320591810,416711780,231127073,360601577,653878766,786503852,32740019,187100275,699902681,924846692,383978781,996268913,121267104,371458769,273396370,732774487,370555832,752769331,275344293,471137948,426078884,975188691,466256763,176934521,363711823,939484804,268014566,310392233,309876900,162294369,972226155,500119663,521912347,14124939,263679472,391967643,138123628,946010930,759516635,568036971,20586668,582818313,308808185,379074271,562771862,47851429,563457506,185999274,458065086,983388001,517083592,982086186,944916758,504502944,293492880,802705063,256758134,933482015,14340084,354282772,306845821,787789937,892762426,772040444,47775941,753426498,504761570,687595264,582880486,742427544,58567591,892035063,393916416,629450652,706465063,948776376,419106206,827126218,877798477,281568276,508971031,901969040,943846150,973806952,634533938,377915717,425344715,760995813,703642881,388727174,365431487,545060756,682612048,292250817,512051122,622395416,317072472,322966466,487818748,546932791,79132337,495233745,765658389,880845870,473814775,747613266,620009097,757408511,72746746,520263558,124845085,583601730,112462279,195197216,401959523,307523872,446961499,849717175,978111849,672142372,553456002,660693149,762474696,583231166,671089980,537707523,202685901,552350001,418979005,522267858,798856263,989110283,634087466,958103023,485682937,190224545,278514890,965705763,918043187,549460302,374435764,375270825,258729477,480826811,640551217,231670371,742249454,407978997,621268327,109760996,30247660,538670303,853252299,722107796,982966333,648782038,512662146,72035536,757826702,324944034,667037959,55069238,832091282,91982583,539862740,703560989,209033135,250603597,564993113,898756743,955379869,393509806,561999085,125610847,949600402,208283079,796988624,984231906,686683498,894201319,987679703,524293552,50615073,429848619,933785886,544318701,606762897,826916456,288023187,325047651,37887998,551059,610607633,609515926,88433112,26588434,323040003,679045509,178249524,264204608,433146933,553509321,200227105,311714362,691017866,210495970,777921357,889439619,848348674,821811871,494881105,19417191,744162462,239553555,518258366,537785841,956308531,163860190,41609314,399323813,434491103,431966233,371297756,861071016,868449384,53197638,611776697,368676892,854789827,507630237,515205471,738874923,390361136,746702464,294263633,668290149,98396758,268447037,855848234,518550002,124436687,981190469,428516915,189760281,530991847,416187271,715429500,152580563,268564113,2846891,803119424,251589167,980861088,598037689,702249471,537611857,970560189,907975924,342926519,198511832,404972906,434644425,827865695,769728975,789326840,545401993,162163188,35376129,838065650,772016813,402234046,833476965,858813181,883466045,907123754,421413746,892084994,731574569,139748039,322810553,563568459,12160776,102185313,462840812,315436789,366000671,424099898,860338208,208245877,485875075,542022282,731479874,988854335,98878776,552751237,726838615,631248662,391702765,167879173,746806809,17799477,675897848,751698676,459188665,729036749,547012386,338718249,516971843,325627264,914793441,956716365,590971719,655027897,267739931,92075323,105150758,912877263,557839469,364231274,263826309,943344368,206881675,989090479,425862028,255045913,593031613,177503270,542681340,646508162,729980990,69229721,12169123,496608355,846505164,196023677,376263899,247171610,463099281,473061031,357747035,983113938,514633606,757615389,780211709,765452758,893791035,104766569,807281247,291703902,881858085,457992630,86797383,861590872,358200297,999162046,276266232,534056819,760637540,491312219,844545779,681530028,981837399,877957574,28463974,552458502,294296790,762868996,953609955,711521423,675686309,755840191,1229502,999507722,836728356,994378559,849424962,327743437,703713670,122694514,678430853,172386986,605607633,387179999,947840271,228936606,907349377,178221971,935622461,314494753,683704464,733850223,171112673,437317701,288726010,821744919,653827551,824843242,420019073,860279308,211731812,21141915,844731466,53575763,139313674,496422269,517481143,173067174,373427239,241477847,308428934,16584297,102002398,956569853,2282981,109418193,545770695,245795721,979696011,692063858,953078850,276962397,87171278,546397441,474372772,987697464,644301483,962677413,521670259,949122110,407392922,908476317,11147749,847045890,886945617,354034718,631734951,69418176,612318561,157929179,625696075,4531066,962997633,164674891,743148697,584056832,898755207,736300635,380811094,252821325,15614204,47812067,710217605,968315631,112700136,712885677,330375085,466832597,627564049,514494191,611757183,107183249,113723560,384354633,211188139,391575492,486654238,466562214,368554027,498763370,11885908,564214238,629607791,837754347,74640990,259049585,384689734,769246639,27631199,152758406,58158622,177573605,578264711,705829872,293546883,701923566,338811019,362997640,670395057,650922326,446850328,805195896,228558100,846170840,660697261,869801392,867226678,832117937,780094369,689765076,729462791,720739002,292931016,780794180,936020086,215938560,587889296,264673222,828240168,43482349,253861492,263448635,249899637,503467617,78053192,27799551,245652204,596217627,19075719,239377070,741562607,493335144,384052251,428522501,986954919,182652046,400760673,307960657,952571881,355945209,285404644,669571613,920198539,267363503,223102761,28904300,411760602,872807688,346526921,670044131,463848691,57757551,162432505,425740672,880478190,810018924,443642825,513703517,987692601,504921621,154945674,202959611,937876321,312521099,861516700,731727448,471860413,476992629,988695047,751757215,446982712,505698084,803497840,952559984,960287874,889277419,664343937,63526235,820200973,663433470,223406965,435906799,822181612,611057362,92427638,265391712,330958568,20219734,16190677,386236036,427723193,376698119,19857716,366794747,927699140,345896437,808784792,565759842,648319513,425197131,689101420,877657102,918165190,738741194,686050759,833301365,573222908,899179908,451424037,903132777,913146887,562580658,711847661,670010607,298189360,684631848,559522193,409472200,919076939,516134756,836814003,378616552,730143087,238758510,24247783,449074032,254329841,162587279,30731598,90731791,928589422,30951237,626948011,344153563,291932888,547298522,978712085,180623403,288514212,476300053,965046229,913596732,5210637,381960641,895521747,905738880,595370818,50436277,156965512,277845316,192202093,106325743,324617838,115244330,182279821,768711786,124639096,33073011,252328246,58372187,580160775,644181535,769002623,565674842,687243182,118411183,951639700,836079657,735694719,237366891,704640804,22435112,264883763,95820807,945836320,800055895,977658107,317220855,69202444,524653761,272730438,172853579,116020631,41884718,249944951,525489204,200425906,41742367,464101933,88617055,273860252,420301405,814113847,45178326,185117180,167435111,548907365,219459170,10560171,930128495,226667495,202143127,57908006,925657668,234164308,382331766,170316435,180794150,998634406,448343215,372561974,457462633,690740525,361946557,207849612,480264446,185751192,138752515,58579132,195826647,162199921,485322479,382487017,620726304,29778543,122966914,355117213,906646850,144945842,300236083,330368509,679415772,274660675,937586968,137897569,98108407,95927267,113686915,895240504,71172044,966527079,333681319,46584157,379748599,431806600,324427966,387845770,935744223,506100753,618803288,686742351,360224346,494453457,876685474,502999706,746541463,479998955,944377891,101147612,820142926,725225819,147567732,508138203,427558017,53127673,551961414,664612505,3554774,514220651,233003697,82046607,838596966,930712628,504530451,207974830,938945258,218302143,708836313,383874503,611226080,132438796,269335687,830781561,164487954,973476706,210556641,196075292,512733730,325465279,417395502,633159199,620442301,676237937,452490753,336848574,92609755,441439881,408862946,231005780,267225351,510900182,635796388,853573232,728223135,344410319,393251001,670354701,420261368,517215025,646540286,555771756,509684349,234970069,506443269,523036848,719158798,683396900,526079783,72938807,453532100,850665308,81117385,811550217,358469683,251923494,328887524,212770409,463023528,406697126,187547351,530461043,613039082,404163579,111942973,169390375,441829737,536019873,414900879,297408912,331859047,297297374,813774348,864753422,663165094,976143924,338818407,688851905,461515721,15386780,36820690,699432122,770373629,724271417,787697573,674403955,866712267,322319818,331647811,70252983,820837251,263133127,79737250,885143031,903137238,179472947,152469452,103398440,234784718,210857128,837802198,193874946,663264684,648028252,624750555,504882248,417490052,454697185,17881418,668835074,880282719,864950267,98644854,274292690,14641227,116513635,5076409,577688031,872502600,577518106,503360170,849349516,617999820,735378564,952253566,425312324,486330817,729558832,625143273,27318117,893699648,941978202,363210065,569373370,730390870,150504301,832632501,302013834,360637140,683351192,284139786,729390567,325634824,702451073,212050898,382192920,991027506,170114755,570061449,230435773,200269778,735218908,168371074,108258864,67973377,821202176,769098479,589622348,129017131,756380606,53356868,725453698,216655363,905695395,773798000,252594289,420334240,335711440,313281216,371358755,280372118,403329553,236186273,425081724,200069043,38545530,532170743,779308873,781778759,759586479,532974565,466386529,820459285,663182130,220610119,207909993,322210730,389348292,353136927,420264582,634465259,630764427,979185351,301937486,613313178,835455507,67717319,491419350,238548014,60845509,18921555,973192133,253248852,327551194,197948118,614654721,52994453,363519188,561479255,150351182,699997612,662554586,534733599,381184664,458161418,189175560,795441664,987715129,823411011,371665964,73345136,912049844,281288157,171890460,797735415,728167112,299682303,741554068,132943665,444106878,295465705,383026658,516033450,171841085,62491431,502252299,653186689,737863153,242161041,750893285,184791018,58425920,748240707,741735104,886213733,651953477,941446282,599583844,257280439,641878511,268622411,114137757,127098860,512490655,891986657,739504457,819938249,184801737,289489220,81969297,781330612,552399764,940836908,892982881,121220065,174269705,481833878,635182365,776437903,649770340,129172422,397801051,931548103,453764660,994404875,432654444,518334920,145458146,493722282,584066803,848282327,226514576,982444818,639107953,915475406,150123519,243702064,454197245,186620012,173594798,509617371,16470545,499665070,373076560,611338098,744368125,749709852,570631267,256595842,763916659,101892293,708125434,193104473,685159670,69938078,964144855,510854824,338418771,950104680,600568367,358565724,163875356,839505299,958058043,279810806,410961018,813825385,651605251,810317546,75531842,695483994,91786380,574488377,953476125,898550359,764812380,168984563,384861633,161047836,784651438,706861569,997580302,111629347,372806035,496641515,486203168,356940384,261824621,330418205,918329165,787636235,879726696,640533273,32589253,131548116,838976646,885045887,342916689,221342586,435573350,520878154,968225909,901133399,776151300,280924615,904117234,993589324,274064807,17395145,744556094,645551287,18441795,383640779,499259980,1814917,762000621,737321237,927873763,77133640,194105934,26266211,114112728,69202265,427760078,194104425,375624537,842633310,477901771,27104480,138783410,717537887,351279132,573311261,482094500,638773094,112443639,139837588,242845923,755836154,534029115,480787809,964857663,707204458,120837251,556181708,439527895,725979940,235799383,98523748,702220402,736832199,382714694,271516121,402528045,636947042,773566973,619009270,821356552,419621785,259753385,46817319,856031472,342030421,641405697,379097009,830404008,950913353,216750728,181198923,56288314,530242980,642095682,697853302,149152555,651517433,874103410,519856885,219381030,38821437,415645416,702127171,718768900,900368610,717883938,293189052,986255409,310920444,296970993,131416498,973265567,941495598,478769847,137009761,947958670,780302676,476028243,470512484,419077749,405102688,615389309,453259226,505458780,994804357,784995095,776575990,401352288,220012028,763699118,436278945,485648135,311697120,5422689,386001974,36127152,721812197,497105921,341887508,898887826,279809406,470117095,311303155,516974686,453071073,501973057,859786707,424802560,773649061,431982838,532307512,687252934,551877011,929634780,180364137,134972929,825792374,348459924,836582776,643955992,410302637,743030553,537235833,125981259,378104811,735807242,796478220,651552664,927133583,155426395,485602936,292093158,407467876,366262296,834711227,307250973,711453520,221359463,967206983,990360936,578368342,594089219,64862663,503953611,67998704,325763231,265139839,995079064,928088576,921545432,122450160,658131117,767604012,837599291,735078709,229625556,127069327,296704572,612576765,733250649,436184676,215144485,579704545,482801314,439518630,299266754,726005503,476318711,127743381,856819368,469062110,223637848,732610078,118653821,508723445,862382875,44273466,127709066,788518028,779252898,24866123,914824885,57795082,411835379,744672153,552283251,876318585,141464331,595401089,515016561,649196080,384793738,180150583,877657077,927115771,529142085,260149189,741294645,69856606,507187010,395662093,931930042,759761204,884588008,117507551,345168188,311621057,45134399,787166308,848175193,222333019,40318220,527810936,833502133,333490485,377681681,524024403,357894688,33641855,824817984,439949659,261603479,845175400,617597938,335493669,413818033,286998370,827795423,516665280,733453810,234148085,474371771,599936705,427918844,864973530,651243686,255517591,972413907,808792739,839322643,111295833,727695204,381355610,466926369,977530624,549062802,310933577,834296244,258388363,218356142,689938593,192953532,1822002,568378624,881731997,580044422,719646566,231315780,959572738,403298741,156674456,722043192,878891670,497692552,890733013,941640757,862768509,415251063,774197140,747069935,614139091,498664780,765305092,973846536,613474793,665178772,847760698,840134159,280524187,236090048,46915214,380683545,640918499,735523188,730795588,588442139,855399916,594026891,187201579,939638985,146082036,78719506,191914902,602550926,436779343,251850344,249839049,914453972,729075941,492142921,284497464,524211383,452967403,493689293,976224362,109106629,768682526,197516762,969166699,233996763,837130534,363951506,381709590,834245265,887097467,368369028,776359632,215793135,246080954,412554418,863648577,553226086,266864791,185038220,944951157,601898335,977151928,210266005,989464652,526256846,868659399,890132963,564613405,655392329,697779011,435105571,739717166,578967691,150786409,586904968,719883663,126849913,4230385,758806912,402649306,850880992,934178593,27252668,284003291,884110488,588442512,802088784,655584089,462240408,955973941,236026264,570821250,872198259,881311045,871973176,468547911,903290635,497617376,665574769,867617684,240293715,402278760,165651666,813732994,195981449,808609569,613905077,634761606,340117036,343350371,170651621,423160925,946203630,476425608,808624920,33615961,573826224,904958798,509187510,580764958,299468461,486796415,460105232,903196336,205107633,611320684,112161165,364437012,311582564,925476802,778663009,581949475,941956590,274741954,975867070,924445323,803960570,538486318,577681144,439023133,299382405,427669073,463005138,191612723,915213291,94971384,186927619,435927489,858869927,481588650,348105343,477205227,714597354,883157938,148227694,756871703,939106391,771032721,891253980,573562354,44655692,620390071,264213914,191100378,608829827,201010765,264308822,211438252,614147445,834380837,56028885,574440838,688753474,524899139,255657730,400173853,229028091,955939790,768893658,752816044,977478276,662644415,558160210,317703604,793576108,640344968,616837964,732648365,625840410,931269674,922913173,833083251,534157544,704837847,827634601,697201505,57030487,121736346,715436535,947102545,693229043,497440681,373851738,221391782,605135182,633403450,135169554,874738977,942623990,988693199,686107192,683919334,364407971,39531083,477785901,829036420,238411818,521852865,875232020,660920414,942994058,806249446,743055232,441538284,859411347,481446197,246125147,247347706,795016604,925249877,792937030,426344010,856067383,662866436,381813513,636379958,988553958,290944885,792919303,160469953,270757149,217107166,464955148,421869731,838859045,893536504,328789521,470167575,262832888,127374510,366579589,218009246,378243716,145182192,831026352,991113843,622153333,735564719,449980215,652165361,179819820,506944747,183252022,86830597,936666940,716435367,542260157,3322116,34223149,985261624,59849115,462144374,750738966,663249068,891006516,878846622,728274246,19653148,413152486,696116867,860557761,38446394,670680757,978359142,953676450,996702880,455952508,551347360,455585726,592998379,176627795,33872273,608412096,654019789,640117666,354098530,279207399,108826114,962866284,759053223,146501153,163538349,148166093,775869117,931041872,370583663,254783037,445654929,889261653,978817644,139726420,775349131,734229685,483300575,990036031,558993206,198725249,91061730,63928150,897542518,944181156,181617029,533080765,45428592,668677950,51148587,90852711,909393725,936953785,396769377,313346834,910963564,30315031,438148187,637911562,747688483,356672001,897628644,852307179,353603743,162020538,225733614,260818881,451467001,341927732,744933007,424825522,288734673,934324595,990873610,416428736,757986537,482165171,154811593,524361845,984172943,858714750,31775909,105151866,573187865,526975465,592194233,897116187,711609132,33065933,65286725,469259919,317168357,977070405,394172600,347002767,353485258,166128248,267339970,876935368,532637121,545629457,221150292,430918414,274055593,779972995,446601537,973632440,730015977,642458818,701747980,788125671,301251179,897441158,705834391,274416080,408697936,396362980,937498074,215297436,779935957,904985613,803348612,951765255,652410337,880509046,783660906,577395990,390968491,414315679,436549774,137766942,697826269,553208261,932507070,208043016,711657319,622625792,319793074,750214173,700299958,265745291,26657398,946424366,75158563,255607054,649402600,646289097,121047170,919217253,605976956,744079902,652159941,885665398,235990453,940768104,408697266,730004196,507274999,36403194,3327192,740131381,514929638,403587865,404237707,922142887,152335321,659373786,50269803,291281158,834599809,781106792,797508677,516660729,63694586,669584524,842038996,377939214,118076976,357568171,536291461,101905481,535883828,253451077,266901968,385188716,166433970,638724307,527611421,733080948,819436042,286152956,613638734,54528147,180025483,206659151,950161866,932905567,715114237,532678117,907864649,279684710,259880841,388041701,702270249,347817700,153618433,646658400,720561298,573940598,19168637,862592575,535946244,693394393,910267017,743232355,439309656,236725077,194543540,71094596,66441807,842897587,689753698,66544651,25277208,131685080,647672026,952732275,817853825,150521238,645340609,10348799,102112196,563914308,536352210,196172911,487924115,574790552,60390354,178081955,581167314,834637813,291604475,953497307,581648195,764079364,278483264,191531520,998915014,40439983,852458755,412323316,854936650,565466726,399207182,209455720,59225509,31651849,903388101,135497839,108070001,998939102,724144795,157853215,713102606,587412991,262698499,708771770,238826262,446303398,211767960,35482917,389539434,41795270,375522726,293914169,235940295,932012733,620318179,976130775,81532515,690277563,333200756,217979986,411327023,379352852,163066690,610550643,446424696,441268693,453319009,780183205,269461242,684305261,684951783,676637639,792018264,465676710,254246412,845141973,724617393,916423588,474190720,215832589,348648350,648445658,143582684,944669382,140507940,817390745,958068465,702030625,975370742,892143742,778210932,710716558,342956192,496070896,210289757,870785575,427574424,590646018,480880253,709174443,124711506,93341695,660969543,25380574,738304193,874421660,436284450,874981197,643955516,171899407,335158420,556130547,524690002,486168374,528540479,495020364,614095101,750270052,706562311,428939178,568653296,857389011,133905590,837987381,372696833,369180545,198956580,983210839,374402759,441186941,124515248,759346994,687819274,330557563,93742025,459166819,186772747,670167851,624852437,883771660,644171206,165287413,468161592,306074567,866121453,884681986,612096484,440422399,479099653,841414002,762111647,98843516,779137799,413378133,838911257,302555439,859828598,324643275,261998395,164470430,742082874,473496480,383161479,39364365,857348544,762785805,689717974,346295622,550797723,659691279,755014088,908880898,367612856,346938861,179399550,807926520,323588179,103244002,462106170,906958220,41101722,251099108,437929185,14915562,455647927,830058405,770871844,98677102,968696822,428090666,897948818,584122270,344616007,139429312,806549973,449655293,177898392,90048388,674520257,965536098,20324200,582668262,607555140,896568550,790717092,832603966,161512843,241605675,121634390,329831590,552594581,294303574,562801434,532920806,362628606,672558028,373137365,939059274,254291171,672211477,777974637,428262240,890403899,207747012,950770851,437968451,515640414,912929634,847878765,493575773,580166448,309035247,784019465,452491230,129071863,294064513,283909631,616352677,184182297,486818448,675613930,679812136,733418536,270644963,443025510,546842593,523014578,678534547,573114237,352849144,133592028,939360269,996876561,172022865,583484305,564098510,456840544,192920888,434590348,139371529,615992023,525077795,530223608,773110548,221122808,403159736,393720432,316346535,644309487,434109174,883123081,528363819,96281391,487008161,865430938,196774187,364918276,31830307,199497757,226026957,326304427,312577667,73659921,474317466,259876385,993363945,616029326,771462147,418668242,200017005,444433431,331690551,948571051,291806932,741608884,341372679,349185088,128326619,589843692,572024564,330534301,809301793,286343686,625699356,576149702,936342535,723839775,217369080,814517859,652191175,615542903,7722037,705379610,459541908,878923570,760516026,345218178,669117488,355798339,567375650,717625624,823573042,343391980,987615875,474458224,947342098,36626833,865518856,248043484,782650257,899653995,146784966,125804089,766766261,661465029,556960425,806765165,434297622,322570725,666596616,952984989,601481645,964909527,387034447,187068299,145285294,423243095,972399874,540925501,533877589,494168048,400149598,490272801,594535595,357466603,458807008,219414080,100205119,435587550,642159041,93148653,741572288,339661337,931937134,215833585,90911997,945307517,699623794,263822692,707915317,129051893,38438729,902109205,915794115,190341230,349582234,483369244,675377034,480868689,824326632,587760174,254981022,730478070,465777369,616803264,906865494,685468101,59292215,756313207,822401059,192867368,68489281,541804301,446664055,812432563,201834709,869027926,118277215,168501875,426521645,982296648,437604367,680437370,777742961,217696418,363920784,600833411,747426563,391104760,545661425,963005534,323624337,548530188,159460457,304950353,363468021,409006569,410428233,179248490,742911442,67086954,77596725,559569898,516989140,4950314,675938970,164963167,233118942,932468069,827738427,670619927,188452726,775682533,88870735,964841827,898961587,357600078,655729117,508193894,619959116,296323070,715833810,276528295,920031892,758723687,986007237,442879276,30003357,103084562,754080648,456059864,995053889,236914280,740710265,87189277,382831365,622337418,845706452,662227627,85722471,246499261,446849982,9615458,593196081,24594849,298141829,629567538,3420193,847906352,303363835,58998297,535448897,591965460,786332147,592919108,145080739,515326284,202644626,74314359,190860328,796304877,94748806,703587998,954419862,678982481,946233092,620901621,367803176,636840370,407214452,218955503,247166048,220351498,921314005,927849826,992899116,643361117,747978063,354147204,971838615,304352674,245053310,513615676,485394917,631802890,238744163,222443076,550860825,184181151,352298724,516965872,611986484,807027513,981921282,853307308,579412410,341687931,914565610,238354600,835745776,745607616,237821031,699314721,868187540,412309310,639066403,485191252,4295143,1119626,549943014,696234712,224957464,718765599,677504972,866964512,821766479,75806805,786812188,813926175,276772060,324401550,342613507,378924782,227456699,561317799,84782964,437920069,981139640,814520165,88443907,321693228,103587605,567471512,370804560,520584456,430028345,665631737,535782089,388697262,132990165,797433334,64016384,992062083,398740518,978147065,323474705,131877371,51416666,930360890,688158193,462966751,30735895,690395725,785190815,82961387,295649126,446024699,852130241,203420610,545347846,847522534,157559623,186759585,571642108,529755601,821819365,613549866,917964181,700818237,403229903,814733696,368510305,750150300,550937609,457249451,110211749,298819142,650791500,617104899,224897873,97293538,700696791,22673933,971239873,229778648,292454395,566940657,676576138,209408225,281376857,875427949,203375300,521592507,307638918,528490481,73044836,752192297,767027247,237712781,676801765,440914933,219368964,917641528,991740343,541865807,724034212,513809621,508372863,63686194,277787628,684898765,482619786,732490980,258468996,420975800,336316489,618750653,355994998,919728743,376195177,122772456,406736556,528196666,470979670,571627906,845392080,309761979,926133829,687119566,556703680,278517500,599252989,416867582,354039497,401861249,347689025,952727819,917791819,959899432,520122317,536265874,39092907,101502419,629011453,694443148,327794230,959208494,503141428,65449831,200831796,505881229,551498517,307183690,893986671,765011562,575559992,791074258,357219895,659776597,549453625,732634917,93088920,550493108,409821366,131632595,762597773,13534790,717033546,771433910,417378829,87022170,804475021,81105417,257619623,963782695,319515463,706253401,856573776,488071615,915879444,905240645,69980944,944496828,412366886,763338634,440283200,26451591,869807807,1537129,788647138,906728846,912244085,149866286,144335331,350850481,442184437,358142237,417982068,806406559,369654057,170029328,290572079,407678584,969911530,731357739,59731520,214860546,653289915,226297483,75244583,976602739,431372946,923193929,535815609,131473622,534997902,14935082,358776362,351636082,935677981,141641394,637830030,643371800,203155041,451424038,299157645,412998092,615052992,541967021,901743823,8575462,927798286,905117098,156814278,621637040,464649717,314255006,252255757,476458058,502900531,645767208,962278165,916172132,33990241,470059240,56537981,143904299,39825360,601261770,375848408,137737060,358225824,623273673,379768165,55314702,921840261,298201802,832927861,157299469,398726704,12770145,573181697,19294885,464626578,616363455,603574212,222665980,988282112,501913217,323971284,913126669,541537945,399336477,734690384,163966284,64299009,128383635,75305627,875133130,106468856,743132250,742096753,194974840,570079057,805753533,10961504,447887596,55633115,956936802,352358451,644813470,503187487,680310053,810873940,852446625,641766853,72328482,831680751,370576978,854076643,698526994,343975886,318559368,816403647,170047343,344004444,447327452,916932729,456622983,137889305,778988927,972828741,89511225,774164568,672480793,460821333,424744576,372028791,375676123,865229964,506076389,889071472,216475351,340259497,463075480,679732756,945155248,809265123,671352379,614323798,476247876,738709656,527649535,433480549,493433917,793131917,760128328,827094084,736451803,53999011,851868146,92799135,928333054,426294579,20172101,820373579,908530926,898718652,911457339,949930351,725769081,423267256,92160111,550479796,10615721,599668924,188970301,351861040,707756115,639405609,393170429,974545638,392670382,734355135,867246369,667763071,920090544,768081299,480460462,827499275,720212096,989572787,517402922,979126633,814705942,992333268,150789932,273574974,755247223,797351863,740936478,629036453,55261589,572035531,765227170,499688770,624559312,551290175,786401357,634293414,762892021,113845880,729881300,600885134,481988450,610128116,223235414,787479490,73237312,695147297,190680271,273653364,716148623,402377613,790795181,627583597,790729046,901709653,759468327,11850333,803149977,342894311,703012481,800461636,924579928,480725511,973677643,796348554,212372635,191544982,465161605,349517130,407891320,113115107,977501193,202576806,611454475,816043286,173512592,679363822,430991897,916584249,469438890,167678445,67043327,752389090,875016366,628206085,312794987,773953202,247062233,164305271,455350928,377669004,502035923,135823717,112713544,145513002,99897698,806383678,987507331,210370233,580161949,292195345,213940951,911538184,135524576,189961,909323968,126911983,815416994,251729532,469981201,538010501,6854755,374152461,815015011,900429032,22248085,167206563,109468121,981351390,145110781,527197429,822513152,523115286,3881136,59014122,335091425,168339179,8064204,56039213,861774,95594636,507573977,273832429,901063477,69838558,747235896,20173870,799450131,97202328,125223312,910483052,813585386,849659232,510902737,553388316,621249154,864158036,649676888,640508428,762388130,402541569,946211631,197125772,787688595,601458918,229976372,464232361,501700377,845871351,84530143,450813027,711611334,879391336,713171038,266566036,522075846,549329908,969086127,481369844,35679201,921920024,418642910,649303279,782250101,294352623,633641311,148354507,107669135,782033686,333800972,332286046,565218006,919345714,863103581,840930336,173222691,951548774,580349795,752914057,267012064,86837707,852978709,171177126,418840191,102038706,154680667,703165956,490225374,391040225,302210807,904218844,973329393,369337896,299913270,2716043,170448698,661745730,856113066,527926115,318870597,935596833,573587287,100564663,885045743,281327212,699289020,124421774,700300829,591546485,117248564,735593943,755180145,734655409,307769372,116745163,314286701,100480427,943495544,571754436,374154159,850132484,355113805,579446862,240229395,689799950,69679984,156897820,857917924,651003088,660143160,359372719,612451216,369314455,960554695,175217831,852075329,73672864,34950529,922257414,422779221,390742628,466651231,365364708,166462229,958833733,960688345,587048425,811430649,251331009,369942463,928017780,345966985,409178684,929667634,123394288,259544605,340936138,126840298,883080802,535205675,365426417,398531048,602667077,931336327,46759695,383866529,473222155,238607138,879639862,388685341,89011992,253265707,711901567,179870003,547715390,694985334,614566373,955064932,774519313,310510014,504561746,328493520,156152718,191578855,621723640,430759800,71880245,138160604,466471780,916134279,429414310,763880164,428705229,208972556,224847507,304917183,297745954,845246870,582177310,377673859,875258580,805367676,801884833,736599022,380695176,651352169,840891624,984583116,646327719,186256739,877795273,122405389,1429084,34958291,394579586,493225434,729927201,921969185,424891441,412364279,382917684,598034240,158031,446491811,552339163,575063634,398733437,695073991,664443761,58737884,71738799,308753914,189605643,49193000,650173590,860490150,383706802,757878465,113795575,234386772,996440744,972594611,869694702,554251759,371177964,337575588,981265391,616134729,884625272,61510391,779559615,654971601,878583451,261651129,407022873,292209794,687225964,791702332,51897469,375392040,82492040,800707497,247583556,242816339,847791389,962806569,519484830,626920119,455338265,814926266,318346900,743307343,631987149,282692755,66139592,128247053,672085570,2747088,298589956,555941381,359347888,16402197,49244234,623894498,195020084,488738275,584166395,254272209,626912837,320477335,452838162,996118009,250883594,680736215,467482065,883762550,801449567,453807960,124940734,951023385,323325321,357492274,430276557,231230856,448085009,937357642,762157048,703358431,384692994,324970719,540441182,876415120,654281407,974756988,133694039,18482734,195911506,503153397,128867701,841340314,511599346,868742987,505634699,881097380,736378716,99257537,509052340,385100995,223397618,814144870,342395446,186979048,489022862,495081759,154232804,205599486,465251925,336374858,875064057,744701994,789355972,970723210,357878319,286777726,81506627,779369139,433051556,137381483,397431349,519605049,493509546,7771265,427910167,557051326,741238125,772383624,202766360,618486538,986877569,991906781,74310787,1562100,284396356,413771009,537620742,759128386,672505842,776110512,909140216,949135548,620058693,756387150,362381406,446594964,291157634,637027057,385745532,1932724,776704919,485716837,371965039,914059971,902970543,648872391,693570502,99119566,850467049,133527501,541090642,74417877,453459848,448456490,418880606,325167537,108241429,411000824,185796797,708476751,12748270,763210716,238609840,989678594,900073828,43996943,987225237,169907813,171773601,607935481,11304646,49171378,428256202,19146163,208049978,25088531,88274116,409409968,989696470,929454249,40721317,724760992,22294582,243344222,178411975,401546648,820139079,524787929,123148904,861945933,25434890,737876396,970046595,902524087,388376560,363009081,320945068,821466022,718791634,581259371,194857909,29735431,148399875,312033229,646065652,956159750,354077693,62954862,24696342,929408128,305255618,96603530,13369961,81363007,51326335,279962906,319228929,587179191,654210796,563279741,77844484,365879479,260468161,307778864,991028283,144536658,411721893,456784367,444730118,977919734,575189064,974419716,809379939,843247554,850350239,388219739,713599039,462060441,996141325,441896808,409946345,541491185,902044525,412088391,302978134,790920680,28250611,537340429,41817615,727947419,953381203,344132602,265287992,78206032,267522860,966704773,939125218,461389803,163841698,136341270,556135055,323552680,54676925,71614192,411556343,528034778,864524817,446595750,989022170,885458037,197033880,447514077,565788202,9876657,776895973,279702548,991029685,572627137,35434296,328189187,522206404,89025390,719879968,124692168,482440859,390890408,408482171,777709429,89312941,167281206,143157160,621536036,677286696,761989486,561736998,854484096,611482250,664416527,342054563,233264472,756846526,953815326,419618138,227257777,118615328,913686966,652552900,20027215,392651908,888686965,426016312,157007694,302691322,643104573,635594757,19332363,2592043,449777205,383087629,62337755,89453626,384073795,632621612,748334380,268485510,306299190,168066221,434099566,759269302,977450271,155908303,40153516,792572143,407755006,868683331,408876512,3899348,573436840,130742627,989993625,711122852,935277074,878105471,976518065,827656859,25746090,775308590,147800546,260406852,225238574,157432663,807761249,643885831,738415540,157041007,90628556,301237336,494798451,739156922,713616348,411298081,483424180,814216042,483087724,207899874,759630928,407302380,697053022,375863029,742093485,962211057,219168060,594316275,626356212,474811360,512168429,341019673,375060181,490018065,417052177,965138834,473779915,662968216,765128959,707764156,926218909,289976697,245475649,832257279,803252748,223525357,697283283,261965686,491500066,245114880,327090141,101425454,840236876,927896872,274451404,986992233,137100013,840647832,96372963,575649028,660612115,939463228,770896362,589519915,26184674,817875231,277285034,125633530,334543545,96186183,79866830,53398726,2390230,313672530,508632235,666442945,65371397,236738097,568613301,549186139,621096603,166819443,506709698,893878409,164392105,609411781,33596772,472845552,485073204,569323712,8026181,554670654,737077321,932740177,926528343,868125965,684473784,187989143,657146487,692120266,876198092,900410343,660876250,117369673,967487381,697182743,516988215,367328130,535955810,388755449,33404132,691556220,294243574,423233795,823347664,35507487,778207894,967322125,834675442,205829719,887134648,697160100,497112253,766603561,288513595,990313671,756584350,994118155,126938882,30894482,928025322,85091136,474325086,248522132,778678369,259059274,980750223,89447842,665602917,876071510,525649211,475915424,424026475,649681882,880690427,488221307,293274678,416782857,159162082,933684100,613977198,210415495,354149224,509421578,733938616,446288329,416503414,903326063,150019693,54802763,846418147,736950398,539710761,757058191,149506850,95890920,161921368,482444820,53701212,802867357,298188970,551771159,917629636,259218036,243402448,142076605,34501185,49315293,906513208,49397975,435336276,890428319,200919618,81789746,168086744,758816293,938887700,66879347,979523644,969239326,352723420,936197135,945797517,859287663,175937757,160613608,389189607,13131327,986366735,792102563,456799036,364497607,467556706,900755030,972998974,69464476,271522168,615839337,191385026,860079353,938346317,860148325,592081646,662806199,745190857,106551340,673907610,42845405,601760917,277869747,447653446,786359964,637512073,95441865,169380693,58233054,561703084,757897991,135996507,858596662,278759652,699805745,632208260,28427572,397840153,432687879,615237332,524139068,621497157,995912115,280145071,876483026,115263363,730606874,406795947,620962102,607851177,761264683,523852006,72570477,452039744,635960841,14094639,149324948,437017259,907479275,571453292,607128875,403478240,810931261,829857378,513558138,300009718,459469930,683566480,787481409,912925637,675997401,957578009,638470362,233902541,766875226,54467120,126172619,862806260,931100484,684238504,122638296,97338213,303407582,710008280,210605930,760041539,108743493,781197674,924282897,796989462,868240556,515170032,77906668,214617245,932657429,848152660,976614321,58581850,957992304,760070289,361647501,935499388,29826185,208675017,320721405,873541089,144973466,133620845,47526991,389331695,727653037,202893862,64504891,491535468,842933238,965020117,146699813,959577928,487967127,211819959,294344380,103988191,798866280,307491114,449723889,877650072,157471711,755744140,818473987,753773012,537563321,718546433,162685537,167507416,72069285,403322292,744415772,858206892,666403717,115400540,842071670,732453204,698635580,666696045,877924369,843269961,682032119,688184334,411559544,611496971,807489759,187079474,224942853,527773261,148496979,614976155,905692081,575443738,849219575,844603850,24209187,642838878,411393369,155164056,698693524,44570419,394397643,381775681,504466645,556267335,956763340,449972269,230886484,24911137,263645932,380842691,625795157,182618285,61579444,582264031,862217165,969059216,468210788,702799652,372995584,207385657,964529477,777291930,229048900,879031886,192103020,404138542,632626162,728315588,666291165,844155073,302604950,555084841,346681840,289331655,418497791,980425944,626734112,92518481,350632477,691799448,579471836,703795995,371797601,94289685,423458147,425567504,17703547,996168260,386525742,650671649,828187806,256955070,109988320,196856888,821196172,840154329,307292430,606429133,260571705,868275010,851935773,179206175,800976524,53586593,183177999,439441118,198107195,404371474,28974596,431201880,669094297,569580410,426597742,481986692,184397748,323360486,624473074,126747451,698606112,672104167,332575865,529841985,861758085,16844547,551301779,194233314,553384617,637881215,732145549,399718716,847943396,707439462,40125057,940753553,904415699,836774886,89940528,14554377,299988612,758260519,1372509,898531764,216728176,833352741,243064383,64527447,651592764,659489359,652179655,770455051,172346242,713171922,773620057,343320537,936847285,961766915,619928430,642440126,411646735,358121806,748313419,842773612,506629942,17118703,109198892,828720035,103803335,62623578,471624733,143716124,122838044,239878045,142860126,745939155,234055220,960948493,914454430,617971127,569983850,481795656,839082182,735864262,336076751,701440840,91405617,464685824,744851109,701240263,780605439,825804557,802950470,626925074,671922674,302423823,825487858,977933424,194569593,430149392,892869174,730759141,530728039,272523953,664693806,983813380,614751202,968103661,206025642,855685252,179325276,498429963,297747249,151747166,777829055,547256170,92388160,728794179,911362934,618901330,682470397,516979570,881953165,233677270,821117188,2536203,647428403,979420559,887649115,828765383,925811138,464856985,612174319,361033530,377194246,991558268,580474128,814160327,885475058,72067633,285337969,452775768,230627190,219488770,329139306,647748134,356046737,191253821,618546779,698998540,784268366,765041842,685584125,2287708,280451663,273204001,521838664,140296402,638084925,147291228,792486408,799751374,427932352,265295289,894479988,711882464,438462788,659521604,365635302,776324861,518175676,179366,26565855,111065699,738127633,786953279,853030371,871583350,292891341,129549111,58484604,604075321,85606027,503475484,142426258,877959652,467896100,190720863,901314543,355485892,432022881,50875109,724745655,111985887,649241736,988285539,975372080,205902339,747171472,83459408,38698479,950325165,402515554,258011841,246333957,472891043,972795483,795273206,602393783,731833901,832058506,214886888,281228986,168455784,563104357,761828119,774289531,101426026,793043266,451240839,407419115,506622131,752394311,135490292,358987567,733214046,589404183,662698101,146776526,362674739,159168245,87854458,671091711,733101712,476165467,319099409,389668478,559482128,204030910,844159989,964914858,844409951,606555529,924730792,476155343,327368078,773192161,524802630,870244307,507594747,499392542,279199828,263455637,624632024,188257695,119700618,963648477,856078869,325677979,76198633,886858148,823998536,978456951,101346537,288073005,651120729,931176251,796689281,158315369,445225874,481395862,159802233,575536618,596047504,587473069,980360393,757096771,709246883,849226639,510872050,653510971,132518646,227857281,211769809,553947711,426031968,691905075,405139177,642930524,231389005,537028349,835527220,244726450,979139851,687515913,407700762,173191691,384465241,752837153,662119889,577503619,813596563,82751545,865123978,597930507,416904040,955730209,878900943,364099193,241430819,717282000,346047265,620725292,666208078,50906184,990874319,599854303,510584040,899974406,122087332,76037576,188822113,273995685,421464221,25722850,181266497,47998688,246450182,184078065,455668197,661100629,864378049,712047545,170232043,450226016,919980625,684508170,336481783,156887751,291014426,325287865,837322926,674603566,519102983,11266461,637618211,471607359,768546022,33637343,14121076,651915459,213154946,43879416,772957090,105917070,639735250,698338846,956416987,204402592,850979121,433416405,369456478,241023932,807815157,160839030,159588972,193939509,442129990,614503295,607283184,661986760,421712983,40244274,127684116,792295225,717427537,696652789,961695525,859401887,961193417,91581494,106709604,129115431,240286173,740704836,783762556,718226865,313258668,388615598,554688781,256670986,580618098,550501699,622378962,478455711,252953622,819305793,464964765,719768242,547624366,354167754,172399860,730000758,143537677,962659712,322255280,635048535,934664818,747996001,663024681,991483173,793885237,269687604,72889481,509426085,915243879,377466965,740102383,540496988,661847098,87088590,560677594,718685006,240970852,458050521,428269313,310399446,249695005,54450020,643180130,784599184,424201511,542765987,300664855,336878964,244742592,877951137,865493768,806465801,322740704,596145227,941255986,453470103,81721960,714851626,681209348,108292677,655476622,254951092,662459329,78818017,376532575,567090899,994015405,315394558,134399547,284970792,486735367,873986319,983456334,201852523,498184075,672736536,839384831,847980139,368144452,613208741,868193728,98477786,669361845,505006736,974136095,176697690,153440500,715981286,620900374,698042388,372257633,504689618,668037411,285418122,957615543,829428733,862544545,725201052,204915967,587380140,70553338,68138504,760575484,756603767,124052446,39255865,115361720,468827433,62725252,907627548,47242850,912455177,411484307,486466235,344754568,938484818,76871961,880851926,362662363,224967853,352442872,77635062,174601183,128766806,668873485,469785280,418887748,703910884,833542070,57793900,93106253,325509182,937466400,485831328,912359922,471933757,97100928,451715546,8155986,173589847,988031394,948457101,634315201,501056325,269283583,661637783,856187917,228790055,297521561,819107628,918395363,899615416,710650217,520881666,93184509,63211803,988184635,760382877,934612313,122131355,141844302,53426017,640688402,160456730,322854497,343303601,187441783,992788334,982650259,574909154,966862100,533327926,962679859,832668522,190202093,531302544,318883498,632350702,810788486,99542885,37524582,22385322,931497106,928665320,790952503,502884845,131114333,264299845,381244017,829194638,936551708,572907487,92743808,306734904,148208633,633102216,789053641,379269440,384497615,347086380,464004735,182291345,220067772,783323074,834425158,587300903,540243861,912091996,214815170,600471147,92873305,180479163,172896161,608701987,217923798,535258296,731114891,891931992,20328101,356311766,121350642,612259647,305401683,915227271,981323629,639071254,616225933,27740561,706883671,154714398,798661679,554698439,446722455,800128265,477502902,765580953,697794608,225074476,118387520,313569402,791593355,524453364,648315525,866463333,545894016,189996128,315996800,344501464,306397897,993047214,866308833,199601877,392600050,108588533,147074060,719789399,765728756,557000922,602910457,775324591,270797794,102663046,309028898,961458740,744634246,102277030,631293690,616719130,940499421,925254897,647504915,457474639,615918846,306235598,419990610,278599468,336793933,565949168,322222559,331428592,768136135,269676252,698523932,528345348,580693985,179593795,76133267,832282134,472846162,686394010,802663230,763434497,150955073,204141667,153805682,92225643,220603239,778796992,388176260,484713146,50356414,166816567,877420838,638063771,609953145,365392888,23444933,314330869,794226758,650289268,716624744,730550536,204865555,181521492,371431436,112865918,711444266,615651054,649561276,487847726,820630663,243451848,581162925,469223589,800925231,663051126,438821034,911971228,715018243,752642918,829605117,869298647,193241094,225366327,325888727,309039727,38342427,321148718,148189534,318495500,411544928,781038182,219870590,782584703,127164788,444709586,907331937,962272854,954553764,821650038,287041501,120399039,571918721,698909939,130001549,257035634,608988272,636675807,64367269,656363545,407834423,905694040,82605251,971548933,172968836,318366238,985460084,777710479,512345640,739910390,303679183,770179278,418061406,995170836,176093902,526307503,582541777,600294342,223360971,698581389,475240944,244282049,634937672,911518332,314327354,406117861,830392952,723780834,622723361,608655008,467622115,957258262,943616204,716195274,432885953,98882757,808759825,912521356,950635749,331829581,443772936,693206979,200547438,275252068,522428365,844204320,346965144,803073552,507007611,360633222,878317846,53306894,803011722,800041378,220336077,668282925,372251353,534385653,467973641,235078024,49244319,905219533,536402835,355379002,795855000,25686375,306507324,212967508,787394430,82646112,790261237,141922258,586083499,420450975,503401257,906831625,498528029,771231375,133838739,223469817,366136331,517437036,402907632,294859955,418107829,570959025,191508218,306203900,244081084,301944966,348492986,760764106,878154370,451524908,625177110,205693794,595260134,949363456,536240643,909596944,793618367,348878446,272983851,451188366,826948552,643921889,319592420,926891472,784941320,343945744,831840612,800574317,496889873,660943306,721567410,969817426,616518464,399948957,665895913,768529656,639183498,630153569,368297442,832580510,383695586,585674822,274550010,530210198,23502885,550098877,775425670,624630274,676269994,348626555,687788127,840963418,748872276,265576455,776379842,318789829,86327345,396046285,756670042,989251026,777695192,608400300,710077736,106314719,6630854,103586838,982526140,162857039,305259882,663197684,535966616,292995037,666213176,978687933,661464818,645036624,996334981,460876552,401448102,336679186,541941590,479860771,347582100,373648351,469196155,208162716,176177197,814156899,689737362,895120351,393908058,26280944,14459408,62689007,861629495,482698766,556557948,81466404,409182664,194208406,95252157,10768305,856437660,982181938,6529781,126698788,216057901,98415929,420872910,495330367,824893701,879025895,896197719,815500946,883291721,148675311,661258851,572968973,568657675,13403439,209646994,246961118,227590214,194629961,781102316,237433309,259904026,930527274,281351310,254050876,827492458,46552824,785621003,331149184,701915673,201128998,272417130,893213934,891973479,758648083,213302044,538632486,769815964,379438633,505444142,468477102,969104496,862408179,384147991,60416440,568987986,229292111,789792259,390539584,297587450,958023580,721380578,270850146,557135817,599151503,937224262,609743416,764114139,750739274,961282418,901143022,883191984,162025892,496199454,992518497,771167235,639200464,827687348,663371632,615296029,194048154,487520251,772836284,461056100,226760231,872152157,824906431,502332678,191583519,75590785,414813339,756953846,773350391,96814985,47410887,624964906,807664556,75376988,896572960,322939778,308048714,931282151,140830879,134039655,55899559,73475819,329136141,293729115,480457836,101824928,490903867,99234026,54289723,892022110,298063458,61348732,64488664,732916706,880899952,907102689,923767086,965874758,774497844,999483356,863213923,161907144,914978163,522302173,803203690,932984980,962874485,634977192,193325048,260535716,981015604,790651753,447496986,271997712,42609820,501291403,463363249,821607319,477800552,747108164,210921787,626131810,455939385,821785887,87027950,400126341,997178004,814301368,170195694,47605066,853545407,816133421,432332027,793349963,23432477,686247994,50602145,667763607,936740176,336242042,202234363,149254944,448170496,920196972,588748794,169095744,262048145,320520436,518138172,655605002,846402242,635987522,320001624,738958798,86412117,376733516,261526301,307612041,888285230,6998652,925331098,281775305,763529405,272801566,534696332,870561288,200902551,201484401,877019823,99345682,869301501,723529353,881274856,720276571,436448400,30782174,17381489,787700800,281326468,996626450,127530540,634361937,522454914,785362598,352637207,19203104,984244082,664591990,71064908,996093518,932409491,464172216,298659797,795221652,476008768,955396814,316428922,983465220,959499670,50411317,792584571,997622732,26334888,211289574,250619727,562899587,677595999,923749896,195207822,790779035,634590312,361513010,359621001,313589010,150557912,949975830,787127841,42945246,189549078,814430365,879127489,707687153,711442648,420813480,881703412,227320854,557167138,342997135,750033841,275274541,73168940,806661686,617043967,668412278,76849929,750701940,848169549,458740384,928038240,257375710,14386350,230856358,260192782,140020655,996945763,372061415,603804444,869293366,718988431,435419676,221680203,246480294,410700684,44526518,981947085,716068907,493278766,808976536,220314126,959126064,609788989,842672625,744134404,816014745,340544401,666413622,133163068,621463295,986546106,885582247,200764465,985068779,391360068,910597824,948607830,13271129,828360515,196099946,695178867,68136494,135929654,447682936,928597906,474085786,402598439,235088355,814723869,636552601,657387297,245988989,470031413,944258188,9906153,598723898,980135112,43570599,102857873,438223845,166132863,682647998,671541805,942854127,94214747,251644750,790327147,973589318,985854839,626474428,284466779,889569961,743119702,358868916,424386263,370362246,859202335,150511211,703890827,201716025,176370948,522560473,544419728,919008682,480497833,376949337,569620382,119146415,476688339,338335709,583432236,97259767,641821343,828065689,364571995,697041376,218475788,452494006,894643579,226336014,534280087,412822762,378159717,649520291,224925111,665153254,636052644,901908347,716151537,574152067,325714237,958491645,197981244,184048844,803842005,777685287,293709277,431708329,709474753,176916561,120312437,281168978,662424157,652244898,868179208,59294977,973629999,417297878,184008478,384117673,138509925,857762499,167821187,80161415,484739034,958632732,940381432,282149604,52259486,788601139,555541897,65301918,46937405,251695802,238120110,496247228,716906795,587441289,859180124,233207839,139148971,215126692,776560540,971064646,574122256,370500039,810858052,562096166,409243124,714189297,46998659,403427094,170544894,462006260,838648237,251270810,42116863,617039440,532911372,508295318,543801242,727027127,42102624,841139314,596334323,624767247,956744769,681284792,667161524,199976490,695530951,867816004,212340565,119753625,840100977,608196119,945609725,785391977,229779126,78307116,104052673,415554808,35980790,290781104,43838271,194915364,67736823,932156482,89973511,19505910,449966113,968081737,570589300,137800091,864121550,932757441,599658479,766723097,387174684,286671122,251133563,692707784,888144945,120486034,471693930,986552564,635416835,274087364,275795459,154376686,826338997,434577060,905819221,757126947,984092834,325140545,142756586,659630901,562445403,463997568,66859936,754217720,893668920,614768249,958420295,908206604,357396281,744425751,204233686,861264405,337466678,490078959,255260708,30984108,608713,418093827,465068844,422031401,840378216,608718459,950608120,335353423,879391372,289429307,286774547,849923536,840383045,480875099,659385362,921846951,694198718,32489989,276880106,306928995,666032659,62930747,212497818,26227131,95326136,479496770,90521139,77696662,437145076,880398512,197809768,60410068,355261849,170664514,511379667,237200020,227270454,201161483,247390444,440411919,843699845,923886396,30482626,926918068,274319728,786641108,613685344,554510763,429803261,829432083,390390655,956443448,212618037,433928651,212991241,760212807,708087993,834405814,862340611,918164239,54048075,470651255,542459502,751119616,586778505,18273179,240710538,355833171,396134399,288054166,56142591,321915934,338138253,536210334,220516017,933931363,655120620,25716790,947548899,187456955,788696276,321305311,499417282,465739138,147477914,166717718,479300961,717151891,806863027,675094565,854521974,98507248,83331161,786067409,498879549,895545943,989064353,536933893,876897872,62664487,998943386,569593576,296881631,471840814,611640494,848658072,702735913,691904541,328429840,968166762,192984322,723904819,761384236,509005850,722504754,931222055,525767875,221963384,858992228,396787993,591496414,720255685,526015892,335434725,704804746,326023095,430958429,669586945,174799603,538818972,10201908,507150236,654945375,950727946,490336751,44603142,703084919,699484426,904637676,980285980,339180592,188367914,706265264,87841135,23860129,796076103,459438389,487181533,904025000,986400844,201553393,492218352,512781863,129808363,241212530,649368109,960335264,192947926,531368716,716806005,551301822,594272298,393778283,825818273,389916152,855264777,491187972,848663648,23244747,629038236,872971329,830902066,62069416,338928970,704043093,214836154,608731987,176286805,14694666,515059256,730333719,504241192,105432221,603554171,33394795,576663195,633833369,467983725,935732162,725840984,538191666,252824742,758268150,748613457,45657649,355458733,987405467,860266353,144214576,139230792,4946345,753657229,249921547,13480314,29159556,823961136,835777796,160324482,526429401,199542364,631878400,525359367,917181111,781099729,614856038,371876150,484022989,159685939,771734923,77766661,56638284,637209939,22111986,129051054,424233584,298638048,534940617,347192081,14629311,843493898,447588933,120084231,808191731,85582127,299117684,78436392,236019804,448293546,834674917,224852992,179270224,728706195,23592226,52505222,249640445,311793188,842400670,539383456,148302135,801398037,188747915,947885834,527828877,626115728,738869871,879399858,85998569,632115624,441299123,267935424,407778577,93558108,480088244,898263060,935298539,191182056,538570154,391306396,956554359,912822502,5882784,289523555,761235037,641880202,464684897,294367162,251353354,387231631,702616029,352120148,796727382,437756290,967541059,977338278,846505423,15296372,50917870,841904048,395242889,792979045,456775346,363381856,756311313,718292290,841370707,22481727,628624675,169557378,26834766,644403693,924572425,536707673,939104978,891182479,704767939,869903598,24188275,217327916,713753597,234513297,897760628,775798920,280738348,2588311,788333531,2510227,479949701,887911656,30887896,966986035,578600924,19813194,764442274,843983656,302722530,556443816,860289911,175414160,254323031,436178370,494008411,596236484,670909974,322884143,33149783,454858599,203851967,846976193,793537460,510682037,607281018,565786140,450088894,123041593,235561122,999055661,897830922,811966531,345960923,125168704,61172912,235607636,861394132,207402970,576305791,656215415,894399795,220152388,272069247,770676925,354697576,354698506,770687248,372172580,331185722,715733127,140648744,847749119,64547230,147107837,664171849,203957724,538731088,180156160,623776054,262911875,874563806,113112437,510801740,388915035,260170022,981732109,298254144,173564663,897678879,535921887,758062084,263435044,45561778,139668844,508023471,34298109,481317365,669937179,927978036,245570856,95217530,59056123,944179246,20084126,801600368,19009465,233325165,180504617,832701392,972709322,734592633,889606163,693359491,156254585,727741747,436866943,127544283,294260242,587414076,181551818,189189209,372189114,712850753,270533376,562466265,253305795,838852187,462031170,170592535,103883356,421559288,96795355,399003727,176072192,122255334,201636606,457204307,659056799,842199256,390085565,940594866,652852453,96144801,361139968,494298785,474207662,38128502,653820144,708384842,243796647,996891218,767734522,500157341,326784525,643296277,413437763,975355042,180578027,91412956,285622756,336306793,554005766,802081343,989945683,639299926,9913462,203755976,590951816,307787258,460629406,887499649,146046921,630504184,364975227,298675520,994577444,889486533,432166417,718324190,165837786,499567376,422722611,812860905,630102410,894103334,543271139,235865070,181895987,844214324,487598561,123461045,602287923,402576869,106668361,717703508,85066951,184402628,720329515,933855361,754539506,229923535,410618120,260249382,960830560,787069144,131497677,783987326,329704194,688954951,671670700,437849010,93534206,49776398,352137344,649740687,453173485,770241420,669194741,31555353,92444258,845061583,885607608,42505132,286624161,895328811,799126705,18780790,733489214,532390154,786581245,255010301,831952719,790642040,496461769,866551734,398640620,502648440,21038522,452770568,494874117,788387918,410773736,903356729,356059099,335770085,878148675,376461406,467041439,983587035,310117481,191529440,967259789,220724294,404985505,712559215,634792454,841774467,110059539,912756812,851714135,532485832,269322669,830603046,662697974,5576381,436553412,146542981,86460620,69639207,859825303,57526224,864119498,613010580,670217258,99113614,473760175,528794055,709989682,385031620,521759592,627670160,160638915,837712811,343190351,671439651,481280013,632418386,449075578,846174861,140220393,12981035,833817997,651510611,789369070,664046880,260434309,609269562,636118161,858453760,377194692,694142544,776574892,892193752,977511883,423606137,543840012,812107885,501379507,494755040,838576302,717795490,754088038,841423582,487220020,422428525,622237991,905105080,862253194,946582062,441155505,352018447,357160721,298234745,497940119,373890357,521282398,833991765,744964309,333077642,362049790,666555149,13087101,508554509,766243340,573433109,668360961,219942486,95988068,692466931,940857824,953126967,928654419,69212537,13322137,308270979,743144665,40420018,608027454,243587157,95132750,60183544,655650976,104821199,45973062,102436656,531567091,309320859,235503499,712194402,700589848,306692951,439938874,279619580,727148803,507513215,241664570,276228861,591176843,137587145,641383251,383313579,873013811,477055787,188179542,166487509,136274220,552812039,90057267,599696290,309805153,972265675,353008031,636045355,913979949,238082002,233578193,563987667,705627141,605776346,955643853,489156440,327766096,364211043,793695351,695041884,369157567,276379454,565204836,975119289,926429855,224752120,686496483,151792243,289535098,715442163,379360633,559030143,709773710,952614219,554559774,791369402,181201066,581691292,436810877,73028470,643706603,871338112,899738208,158947663,148563115,184469721,757510991,509321170,729562731,902192302,125509392,108382486,512083644,206592215,417427650,352356955,984307511,632078774,542618003,291292955,242370758,99581617,6333499,607316658,70494635,947609092,243287060,852520140,710096231,362381682,692888672,378723792,875151542,203236655,20468596,546426099,141364897,124289286,656886819,153197472,633337577,486441946,822655984,965313375,769938977,54000176,318392735,4696356,271970395,585134549,280818443,694061645,572134059,727422251,817760565,374889336,511551642,534712149,531970963,281124476,850316165,149998664,807600273,449693971,777238744,543347226,253498138,959913891,484562029,577092509,987002212,134559698,314980668,989674965,523666345,142285021,956342298,459702056,229578374,1969439,433242895,216713702,498495417,61019907,360735576,125339317,148121451,413617262,772342803,829974933,53333898,651627374,671032469,768730456,636075022,398557160,732282206,540423006,268920054,318599457,191864373,62160630,778887923,247537270,64168423,843493736,998048189,879722845,730082426,37039543,86946892,584053995,654928352,773652254,301889296,818359556,506472098,239938536,459837036,947345434,251281716,133529818,40299369,916423744,358510314,847460345,43769044,737536938,348283911,823060480,307556814,426193259,639925009,679979225,70795051,77980721,759740162,338324795,500270183,157333952,831732661,286095799,700764830,134558868,601209667,180588659,865665717,805564959,913470255,263414490,89946013,87970168,741482614,543934116,295181857,680332558,519106867,805576703,60147711,844845116,15717832,56834923,1244817,198667661,48228476,831369881,391537197,366085720,648858487,430314889,340251799,649158195,59175858,891447908,887377887,313998627,526938164,151006726,541159696,857636103,563894822,580631500,643413226,460771975,853313630,500625565,45934478,906242600,450045652,382148393,852583030,571870087,166234746,650030775,242005969,437159433,616234210,129735979,337029106,817187905,759498615,696677994,419879014,687029958,462053450,322639792,539538364,269627581,226630121,62266558,345192045,267103005,195478221,750156951,424036866,75545302,81900613,194580816,426295549,753934136,731369110,975823766,667380798,707652189,122836197,775923333,156919344,951891973,900119454,282244388,893478788,684821245,866145681,106180008,149202330,743693451,405031407,590053671,597440566,987025945,214451345,21862562,749290467,788901038,161539898,785581862,515766788,366592599,829748376,556795877,36819879,458014836,132059864,18719715,899939194,213596013,700310464,2469556,867561993,202836444,324016016,612655231,906731713,988264948,17674129,833173697,640310087,876888079,859189390,143854637,836672376,849466239,385866517,290715494,693289890,54442279,499507063,433508956,421863299,470240271,370493341,314672383,250627640,559596700,744228928,900045361,389159093,473391391,435023859,563279492,997028911,549642377,797289001,545906415,559295692,845909975,827324936,53001757,950922749,194247873,453910695,233180048,844137713,735540731,627753559,247700108,816947455,846399068,674613013,410122255,310551671,769379539,103111552,14977065,891086741,27928887,633924957,617643069,247199933,322006174,147992335,15646332,752965554,732235646,185544356,684692277,972777532,883290669,591388104,232659078,701398507,94395726,794928260,277309577,248828386,778787042,359850618,798634116,249283832,462062509,60477409,791689257,178513963,454231696,952156073,605474512,906066399,188725990,342996026,818463786,466418091,935288843,422929094,479224917,660172472,931446944,890371538,4235464,295336587,221593976,485692491,726830086,398221263,738134583,499867910,653461213,543020233,273973039,867037382,226034392,158839899,21178509,697992977,271480442,786889409,319032468,378268434,644408626,673188581,197725931,366773246,49613760,477255663,213598335,523017443,511807738,589170613,881745352,59387315,560996466,149606884,92962987,32249210,575683967,25088747,920642317,516328524,437205679,542378741,83749501,346421150,758034026,852652398,796685075,36796740,917891939,876841716,481139271,25594824,920298390,612348785,107354233,914858902,875650550,272141530,215908822,651467494,506842757,710574256,212887114,582515520,13449529,196254658,911652440,354364856,210362519,413226507,206155106,211869984,76661650,905342614,210228620,560896374,597754654,619355528,600666074,590301716,904311157,786170846,578944273,504096210,855357353,577942933,424796169,355428281,207959379,387891368,652673347,447039327,105353760,959963582,333208284,548370004,348258653,411972304,955591528,182431996,429901559,802503657,918315260,815410346,860259120,216136643,765650901,559867339,531939123,255647702,793032589,396911326,758701717,508905899,24177763,178219441,818768515,934272441,660313014,877818897,448587722,395847003,992396921,670291767,20479816,79484309,425241633,658386090,567387767,315160254,758660716,890242863,675722078,877480020,529756001,515985493,124627377,985680947,73680050,101417491,993566540,276534426,342361083,624242425,805417304,653402228,736875094,931966111,718912502,71980046,551015897,736210411,927639143,75874804,981626316,381480852,614260204,965477105,979988430,275335908,743834164,380319031,140317959,679822283,168816984,168159180,872520660,987229363,541425777,724100889,414923088,409552209,364484130,614667416,386586664,432787801,27500029,487892427,143143381,785645,707721570,490132096,785542506,986777100,523836074,446897151,32755054,26858826,781449023,308706184,479413353,976298587,624132245,170366982,839504202,51555331,724134579,905133803,860646709,430327837,728594356,471405044,175526492,44342447,515262155,2735213,955293437,888658370,363085977,21439909,496387039,634999085,760033614,184270299,744026334,473325557,279491696,892470493,177390154,42099987,490749647,157401345,941933867,599060581,151507897,174099104,749822978,342042855,547739773,633058751,889083508,289614554,178953405,360744759,107498568,667920708,581430471,247456945,760814596,979700360,477088910,181827536,902299131,974323562,681298718,849723385,743837351,705963749,29326400,933162831,438548061,539102495,849317040,381929486,551100682,927117303,255713949,298523503,202303344,887670196,306095507,446824343,649760263,558684205,835880109,526634775,326061020,109511439,422934442,905056333,161064392,464623955,374567455,161437249,898878688,860167374,931741672,293353386,574057447,747556726,519195371,539246424,70123408,111929927,303298780,294317663,112239529,482231508,701228604,743107282,547084831,825379414,932177133,32539500,739401757,678348129,754844239,588508571,232022224,897845816,379150389,574503027,666260081,197653680,672972013,42293536,297122635,801574993,241714672,382673116,166213706,839015242,50770111,716692817,430757224,776885056,958711727,149033256,89454086,297382940,257043520,641686531,266920332,797138744,927110865,409610866,752888795,37495844,768749168,669800634,139167125,578717258,648807076,517164102,317480255,532316389,701845174,699249758,303507270,709103588,801368857,627651751,580843724,381799758,218263741,865593950,867165031,935702745,426362567,613489093,212807164,678793188,585933923,682069333,745896232,594412497,500599885,304576243,18550082,625709521,344045969,492084680,968939204,437131149,89015308,404853392,742933859,741708470,91251572,922862343,672587963,313205975,333722300,400319167,952431198,162165800,28373308,67334541,694635487,191413761,281573423,95407724,824974521,279764813,443580010,543323193,486914138,317439503,162154755,163253445,329634962,908989586,394089728,14246576,292730624,85262637,811351942,852321857,40028690,894897852,741369488,535863865,513785450,996299085,391765175,803459098,666101596,467096914,194507139,140355111,266009406,89269803,78545531,746969991,508781260,734650640,254120088,774892172,315220729,51767105,50556961,501788132,760433073,621515790,859806304,205457756,758246959,95766409,851923707,751592908,682094552,880491961,253804129,325859663,480308380,868184880,631288785,350761743,354334732,970948965,295179681,53295730,586037125,708609127,813844948,454154729,416047722,490857171,584539608,355922765,853210234,404430474,374467464,520620823,326732747,22309833,341526500,770037729,78784442,768615071,727157657,818607155,383704489,699738098,626580189,271651704,260031939,997600801,858666019,317855870,694608187,940616709,448550446,132672702,634373773,717432297,854622317,157182981,775855722,421889691,528160067,155456883,484884378,684805237,674578406,671366556,649153702,628015728,636735046,345938129,500169971,748708481,104715569,951848701,551886179,265131607,368872970,803415302,488551460,473884349,940610372,769210281,871343355,874287485,801890124,367732650,255139553,652106755,174068560,448915627,602909177,883396958,262329973,209065689,492163407,4714619,198384180,341895518,197690461,697708062,592090852,25339437,906767401,175941181,913168458,989990119,728661616,912422095,329731417,660795135,187229334,373151063,24526308,817494585,75098874,83933974,915564195,6194262,889927794,125006326,915566033,565140478,735282697,104144645,159508147,749817565,256579140,184561668,550423630,717646893,140739874,846755766,954423241,835848843,930579958,505938607,422329877,2523055,446082915,345844288,989874310,994816113,500698302,805166645,474414693,429351660,204966978,583744741,733784802,570411646,570302722,932575747,91642192,735940328,284285002,878268114,729152825,329105306,137740679,705005480,325744553,27944418,899424006,599167914,295101822,124290403,403161175,790567373,24499170,799804184,196452964,327300677,352213785,72988460,727899594,421727322,274476266,893412885,591923746,627946849,393269322,87003211,528393040,592696391,500770405,308014601,653106982,31295804,805910577,351330900,85461425,354759422,240538645,917610815,870260460,214949708,243661514,388961501,727779556,504541900,711023539,319725730,861136253,820680303,870664692,715962966,903491157,652227596,226937455,482770622,391975728,419114140,184006991,482286393,130015477,73799850,958292941,647888722,328313045,511002948,775746632,66967915,743559246,985910355,57065206,133378160,632984136,802691506,17129953,813250960,539634620,979988607,601180180,434861109,433846928,889922773,997302957,425766962,45873267,280482967,29934611,64786535,467339322,398270518,498122819,275699854,429375624,203923852,373185203,8176604,852328436,143270471,637633252,39755261,806824822,852105321,842368802,398749459,827930648,906279967,568426895,677761574,419894892,306106743,114713125,695425749,552016826,422874093,161941419,855664167,723196544,591550817,494396605,244784795,820859747,288828526,639238286,710408055,378812957,358532722,985297450,935901393,910236497,500417103,586906149,70264895,965699227,926227167,632125036,1165589,22577348,169795556,235287688,149540009,917996331,165152802,492976898,756843770,494075063,676244272,78921971,163797566,118363366,574602358,628050345,611636021,592403363,814567844,777661744,182745653,510999278,921276957,36827857,693614338,911606845,356544670,32424234,113870025,960592948,531048617,645927988,935753957,48116847,793156137,205690013,727242921,182393371,157860050,754923060,809792740,766913498,878963478,53547504,804796251,117824506,928161194,399533422,850056283,628964914,645419245,732699355,597774128,247749233,347423045,104153430,47456524,518087394,328156052,539218646,660882172,878621185,56121670,31137615,101298171,34903836,794160507,229047161,562145743,891554742,185487024,124794125,917863568,88557779,619499935,11321452,237776666,933152795,29996430,712741088,111618440,757535089,182415838,27794798,41241552,131674806,831603916,810454624,496917669,851343740,444583982,381884386,955378230,610365607,452244298,900231712,383025866,511259448,723624461,840277497,6108135,64344603,86702282,554278374,654439192,798487359,53213013,181894006,326846368,62184220,644144187,686601959,933465492,484329383,401191182,310631463,179116507,741375183,751702726,393752235,68124756,837237735,230906241,537845223,644260410,312114809,151029075,56208771,459609443,28776502,573963163,211181336,101898251,860920930,936333019,238972434,620218489,668164198,71169799,693580707,176925225,936293995,122573991,344633245,201151692,429928766,684058751,521994508,531015682,584193781,412271402,322677287,89699108,526213634,367988492,933400050,402281883,572576881,423674511,749465590,488857832,930928421,956449095,572137312,565067657,377975921,295419055,448686450,579243995,244607794,34224642,843991026,33014592,232386289,957016848,376413743,287691869,172204048,394498939,455165143,645598911,108313747,691299866,416744785,360752371,269784072,106996671,853812236,59436784,889429221,966728223,317455702,982504289,248767482,272977201,551232165,137397560,179413117,917604847,331325707,671714712,195922771,350035199,982362653,14757460,509617633,575310532,43948634,11500603,515137390,534316934,24393540,54987753,973912699,424460372,56066966,684745919,502796702,136430672,618083014,249137659,541137263,659278596,660506449,654766432,695564408,313363977,712341678,824216859,255178477,996015684,947509800,916763173,754728125,548920777,32301620,120255518,125209035,987285665,689306048,917635315,421740507,584873717,728413932,515036883,916388492,483416759,609050681,710925015,414221858,415645660,126729213,307249318,919418815,821810587,623797997,721479080,6070595,182763866,382774372,426187199,564646245,119669770,986948365,691438583,439511215,590554597,768020112,909378421,459631815,575832819,999209557,759113576,210767446,912567556,549094741,676219231,323649381,635569434,238531792,516531587,221367134,862206391,529847290,832181143,318112132,123681305,773998978,636638254,798977284,575962197,261170803,504792833,280166709,967820849,137753731,466421765,416035997,978471716,9458199,759986036,209330643,797183385,685151426,665775910,382115156,736517079,699637228,272748812,798055695,630543588,513364439,197367146,22973656,577596714,953683052,797531984,244319869,313028614,60199043,737911654,535638545,514967552,408463631,653445031,234261071,755521710,739438084,855732828,846393360,35769985,357813425,421075516,437979193,445444239,703937528,607254682,172264654,275548248,553702567,559777576,642980850,277258900,500263959,418336986,267869506,830074945,958817319,496909849,702902063,45330872,497869680,326082794,938496457,395661291,100612492,363454807,813210970,192905867,378068212,368512982,86842814,651529371,536533722,510391122,361346511,182138549,121182755,884737206,357592897,969880972,181134786,402510294,27149087,114625417,373497550,629743,75792788,707807346,615991292,256634597,218948056,497670689,450455803,494862827,790588654,633012461,645767098,832165124,902030537,521273176,905758447,869817015,722323285,268578051,33244947,310125846,641956011,216559754,688227429,377467165,967120853,833383321,492980571,188650349,55317875,212990118,38812233,621943369,885745687,567017946,384065467,554973182,964093572,925301768,324384159,993908159,357018112,354904687,470449138,339561509,602052017,984093760,680224829,529106906,206684821,601339710,209776141,560329238,392479058,346639157,351506339,846504781,241121824,731755566,692539278,205821030,729183051,201857667,552509311,421416270,46724921,93435363,339902172,82506482,236343225,147490006,796235763,337421078,554647041,307443932,293466587,899498515,634398288,450854089,562157918,169870778,96466863,247374465,244945149,869501461,579949482,730918208,745254307,39080176,192385405,746942337,594662082,2074585,269221163,159989074,489598409,427884757,74967541,372217338,627357482,707023124,656505960,266616963,479255286,116791325,543267026,913135537,922331774,545345256,128585211,796295306,456927258,761599909,878161709,750763231,747476813,241682465,536446006,719352095,571940041,100172215,282729260,98323223,153265219,92585410,124777348,110595728,935169435,177545432,600969357,135174964,907227711,70754785,650325554,640463200,161282657,231421561,219005026,523459122,810862007,909177032,114755889,892787382,645326542,367940586,613803290,174402534,290592228,703508885,657777398,882972730,603177052,952045396,555411319,300538826,22960737,174294550,80344137,880111166,351708511,715074712,613475967,723962452,441474685,577861775,237859137,67445427,686269608,806807502,205416042,10824444,46840774,605197305,908581901,614409770,639886674,991375534,515936088,162508857,368333293,587308,580528455,705679982,289769250,563919362,148746200,281347184,835790276,703064482,8090879,21583331,252830695,374936604,676958916,5278333,819282188,212401640,668904302,286461697,467288756,976084645,234096025,231215130,444106707,497192515,420467596,292460111,576309442,271195147,405691461,869218519,16345453,738800497,688469450,557670839,586935924,513311890,940444070,328103087,616327027,139729776,337873638,215723877,83867438,574267177,959160947,356188257,881270367,787572326,616140011,478371681,258343870,473831325,370282414,408950967,3052257,864806768,674425974,89825459,875741097,998089497,447892692,268556600,607458887,109708049,143522336,882797472,515662004,468318672,957286491,243204755,342011457,454040872,986731258,454874701,650433132,857429826,552537989,366133763,588342930,919059728,637090197,758481159,666499395,816092625,418965998,358393864,343741939,756329634,438117247,911584472,511815793,700684943,8032016,923368360,660918290,94836260,639857869,10658103,910718912,930532781,530592051,471376837,473243907,551316528,37982921,875240912,544880163,70978633,614933964,282784293,684117315,469730476,603090399,264412447,310405234,13610327,69989001,736208514,508646873,844054809,659236577,57164509,561054899,252419864,131315645,916798080,471274833,286007639,60332235,166277864,762004116,72893586,517151037,393261785,297722900,956669424,507568151,212698804,783619694,844789988,691689066,684199471,261655480,301450796,325927473,433346594,193803030,866993935,405765587,474168405,226265205,654040088,322469572,345832504,313368629,462120563,796978963,30296841,551949069,187318649,982899214,882893281,977252806,530289931,421605400,70854514,436955123,785322134,637728313,98663719,1705177,161488501,672258607,871253320,470329802,622007588,754876732,745177292,514343804,592625032,214098913,12703909,557140503,57345063,464974567,881827968,384417784,143721561,110099906,511217417,296125903,922584123,464903610,115872243,148335971,425250988,89628910,822930936,764903422,645523513,197813951,395327316,337921847,260613250,637201897,418055800,928091595,798599183,580690038,9300096,56170866,100955578,906410402,796719355,983384971,178398720,161372027,694388678,794883509,976864649,714379318,181296351,159643751,474035458,571044277,536441637,89946154,514944450,453922689,712604616,286313818,122094862,689774217,87554613,637457308,293694086,871782881,554242887,969000182,975588824,27376809,943846889,148406635,397990054,14222814,888590306,503469148,139377991,947178492,170054644,913303344,197238999,721740474,235269671,697413127,51532795,665998039,317977285,388502455,448827419,787584384,648704742,507263404,617585542,473280464,305477048,554967637,542625983,368484690,521999298,846638122,771975614,93245462,912733488,68292634,919952054,366152980,121122956,400118803,363006860,609180395,632645024,923464244,837273716,75930166,472550895,539763775,821993134,905296761,364434027,18416823,264505819,296021863,168244910,746181654,511119678,359056996,658285895,132560431,723504389,817763784,678839712,781447201,256706900,154222408,243869344,451787884,462118188,158535717,382022479,342821228,23401833,336467219,17846986,386717274,30927385,768579251,774652932,798345249,931563969,253380710,970511128,491711550,338705432,672143228,392871059,938784382,831781072,205134325,83005533,76151485,529054395,110227799,227176303,627182781,150299674,33773851,233746152,69992199,116104986,645598087,647365583,335724193,186378679,189630386,271818140,898662747,47605474,725082479,918657450,896287643,576777622,672096240,554324293,369509018,120646698,791952562,621004058,423118319,295420871,603562395,643489213,338608548,719387038,870130424,211860120,612586714,118195581,624118585,28332015,504964703,514741384,836853179,580405603,468173310,491074733,934611399,591430269,681764218,237318221,758079738,362217014,43242014,217457259,796006223,265135471,924791958,18193172,1889015,843815816,63580598,741278161,466258710,310864715,516404827,147753935,818839846,665458388,845219768,814191150,721040731,511250122,185515402,105385360,221806660,477791825,446820674,178026886,894180802,596129087,369652874,280294851,504255038,755610935,970345293,487806395,799429205,429358456,80021107,621784657,442933819,494776822,297241984,650297134,413688959,170891259,955242685,319989726,819583468,900733182,20751543,751787343,15230499,44970632,181902813,235177699,836321868,154603042,468098785,416124588,677689463,871468880,467076102,588929658,424043339,336837973,420950101,957687957,494628134,180986100,676261402,392183947,527726374,80782327,531105061,326308685,607542573,252801194,88679404,785790718,790736729,843580131,772352476,500109762,21686021,761848988,615918639,101859159,55788795,304537600,362970877,604398169,384380523,720775026,438377125,549763845,957167611,160558894,807407150,337183198,541073066,670584668,174761969,737441147,516323499,120356093,142202967,558823799,144847296,447063818,313427168,661480495,210455719,107052188,813701310,454260920,117263887,973034271,753312118,578348009,730932673,247001873,206716164,983761308,672202914,948418020,249748958,516976379,614642370,33841449,370086200,46959076,647130402,231987871,738877019,873599907,327411918,376190381,515040840,168652001,231274294,310148286,444153308,118730027,997949897,203493795,900267362,632136434,627240518,645922693,339508573,226043807,186463796,200170453,278187699,252455221,314539950,267328186,928404649,752488641,714660514,608512440,774245028,154292224,927036366,751704944,808113458,353170863,201842171,728364988,97574089,900063246,535994567,756411785,946694349,448131012,322358780,150622578,141859181,325085074,284429977,790587612,443434784,831033617,192934624,260536010,781408996,174624728,925230687,413135080,590363533,992466502,176478003,232891255,18653588,898439921,98519482,839536783,823731904,623085330,812359827,824678806,59825992,522493649,860289763,609362835,137204765,619335221,161010856,549804352,134942993,256049804,594089945,587188535,179444153,668127337,811571841,571678139,605307263,984855116,884659280,293133489,718918880,310877083,863869578,357135529,386129179,185699086,32361510,484082098,799797582,336803360,944846273,649073868,553729689,586525891,413111706,128832246,431023906,767439111,363040997,142204870,416158116,603922008,626384060,65486889,677963454,924873886,206192666,700601968,812817099,151780611,763097003,998429004,463965806,230555543,307575098,818882863,406071696,825371180,273107099,575940441,586821251,393884090,734337970,365859291,3770779,315155512,922229807,242295408,467883737,726260240,210274571,440442851,281128127,641881150,544801379,503542678,483909571,426873892,570446646,877567132,35911260,828066534,470490609,566818524,397306380,788905826,113572341,401104749,580515531,505032010,863237675,56598381,751335911,574824202,797318430,821021825,337931883,35020106,558701122,350791120,327219102,697051725,555933208,860803578,81112804,101365674,85610428,706229579,690238206,808106194,614564236,941922489,541782775,373013440,568582881,412603554,741642925,920919876,102577694,258044765,346604348,185589059,170775069,182169059,312062348,912590572,648032302,375465572,887099890,927173194,620279245,180577075,46479135,131792118,227551180,509404719,560366382,893225640,804142459,871543082,741372549,259249549,519977817,235456300,201060732,538187015,77558014,388078858,784968361,583031470,446579384,70350212,6887686,542145351,511710255,469058126,768706724,437809669,296100840,895738734,893790249,774472660,271313501,8723617,59724963,37428436,861232175,503946405,71556417,461703339,234577207,150456370,627962056,734890288,737359741,755372985,734837295,509413582,153169784,180531161,713124866,564959871,35899727,40557304,516658975,20628238,634616166,931924931,820755512,100635620,538594183,782095527,603500523,756189654,176944865,873883412,392207469,730341939,627176001,647065567,151116116,422137132,855398825,60320874,896771941,40005598,450214536,50091115,898635662,769058944,11789555,192945498,879889898,636872346,95450689,970109548,645585613,993235042,129018177,552778478,396974346,999592330,41838050,765901915,536701172,397709823,923097953,368509373,241776627,316364478,896434517,980554020,350090955,398294541,715613819,472334917,297898747,779372346,116691826,942145031,441902855,364003713,677464559,121318219,190779381,848483453,821833372,194963484,290227741,779266617,823294974,678942503,476954198,81224799,986346207,123801754,406981440,329640695,765319495,243016085,532072886,673849963,716741632,308170407,638709397,385724393,700036885,527578033,71431147,436806484,483244245,286890292,157277619,944543588,325542487,586365449,239678441,877316729,264150394,933532175,7454440,484687609,530820311,919527435,599336656,676702690,578290404,306960287,764938413,861847569,582651913,465866651,165531165,48928038,271571949,336878561,173831427,661748777,752761111,984068333,629258923,814376688,538875507,871195837,503132323,653370531,138839929,391842680,161701044,384267789,362333532,18230792,564727403,128445870,75505810,977092744,936060773,920050941,399383606,656653393,675745555,11306600,781381045,723571835,369624376,552564276,754204711,107833187,577840410,71284845,985066461,920816279,958107836,299002736,604749718,751899311,32363205,417898996,731346561,11631152,129058010,634784675,125197095,472635914,791355540,862984924,67722068,763937900,990980606,787896092,709699810,723001880,935549069,368973589,434014094,157498664,299652337,111919851,873668089,355057720,55344795,46854639,60816987,810326862,866414199,583386427,268718611,173601461,527586069,797947736,74615943,398603222,694206507,855812389,592428501,170645367,374019631,649882816,732726703,193586769,865429592,290181983,508338356,386965312,142941203,499670765,746663425,884559715,30319570,764597882,435048918,572326099,988374582,153187045,401744502,647362333,579544953,648971591,17998005,375738196,319887681,898057299,393420911,118423812,545589519,34960223,250438667,737400232,940233563,201888625,941771479,952933185,525783563,800410707,801294461,335593231,631127089,681720261,297177436,862701763,859040248,756534623,224889329,157777521,411593557,242247309,678034185,448827847,98056974,684477522,558095885,795220818,416564258,355008097,411947433,248590882,841750397,496018004,310961347,887621519,296945867,354461656,826046772,731540621,605443389,26367501,703798309,724925306,160877167,142864006,824979221,232356001,564746313,914511659,314751315,107406538,712984649,736668303,170295096,526242094,287679950,722255320,350028666,355964120,588138858,527168241,779190279,985583463,618132568,200485369,49699580,644410322,201774559,36442645,9226085,899670750,420378360,689080598,482265568,124731541,820452927,404772898,210683252,466057869,139431125,785126423,233275625,413887312,689916134,697195531,394688618,232089420,292344443,163519367,602131089,560934525,906237515,434994250,830134322,692292282,904947620,790608557,323128689,115921116,390604510,172114340,690680250,146686069,433778975,77411480,691006906,444688156,343273376,565302855,209215354,690702145,609806198,411270350,886954249,189897437,273939790,919824361,59216124,821188430,577716896,556682119,687702406,932042074,868852417,86297214,145679376,927994411,269994043,241875343,615876841,21410640,943300563,948854917,883063975,813021111,371379128,880837998,468014526,389038621,504205456,246366384,127024940,379515436,249010870,478424270,926004162,617147639,950116892,721962843,784637714,345807951,750952508,181742261,127574252,849687613,897200517,454967485,540900990,351062412,747759286,744236262,511956847,669457797,492496793,747689718,2099240,616442546,766900367,372181044,135058088,934835575,149711086,120176321,106999680,303450373,400779000,87347432,224359992,921618409,726915811,463161171,993941926,118582146,746667683,865691337,239744697,798660028,769651467,217749672,172550142,267936684,676540284,708050074,617695353,973602890,558623706,211426440,919713264,220607395,151351348,250971143,826387116,638468607,865075712,841725964,779286407,271996630,310809475,710108983,304221138,305454427,23798486,477840216,345317595,852797409,910866115,189880226,549854095,206576028,479493711,679240356,923763777,893703668,45573144,709515025,963458496,564345656,279362529,900145808,755040006,268688138,901640111,880806858,937439036,130257277,621089394,285675492,7162990,129600640,644733400,725136591,722076058,510761483,879544826,915571138,310653542,964959558,378367861,899485755,549368138,592062341,473391402,932120727,183957810,268783080,873681217,798327088,132352253,981360601,822319685,166998098,807291035,829571236,114308327,567872799,264136836,642839165,71468618,21923807,392891765,789212928,521088689,116712731,700639825,802679389,49351883,138704563,794494130,228616027,757457668,364636301,968298889,58112343,61565709,206631246,568339796,76530586,747549057,716644773,933493042,454564824,800541591,673835127,248123082,575137923,3699832,205160316,611349280,312397303,986793400,997145907,327310130,651616325,96944640,670454472,417575414,689987120,894224389,984609088,993257274,190219248,870887061,648669943,123609255,442713462,90726612,216555248,39411309,824428908,230250536,44031426,757396801,648606146,336455166,292520944,760936286,935865430,34234427,652832222,302300902,143336803,588330735,641733515,736107661,835883750,49248091,704451907,308646053,855803148,277895616,493872494,853146477,365836800,184735115,342917784,421664414,58822701,215374797,359392667,657421051,323489837,852756221,332277870,846180185,57071872,473175658,664932176,785569212,12246745,181052849,459316951,500978259,243493365,801234650,191906477,379950693,88525428,457086060,870973683,782678016,577004164,187993937,564664525,358047660,394546753,69804451,353408133,942547605,9252544,293833028,901390955,653145491,738308400,146699233,186283780,77696864,741384478,353216245,669029512,146911713,257708716,998876239,473871163,230152413,293598128,678118596,98329577,557940064,679794966,850918985,757416663,241919196,228897137,312871806,474038017,717842070,119096774,627965279,866282437,364417211,857261311,336851905,387872845,423593738,833353818,936209705,465294076,306190369,270158565,265341053,852715990,690020323,559419164,103043130,824246382,964775208,862913093,193576909,735143616,774303498,28251595,353967548,489750549,235442897,131152629,732128584,406275952,114188439,389957210,167309287,542796514,457865401,124573939,443261311,395295205,392150168,508351401,785128885,264380218,828041240,441766183,76727114,476107600,74889544,423206726,742428295,918248941,574815884,30321384,874360033,243644820,929382575,986049061,72642809,390573245,715076874,974633072,871647026,371931769,527793755,801715058,512458212,117042784,812603838,33185854,665503226,231326614,813825500,331240813,974636631,555519028,579035454,435668954,964150892,45184921,535146748,302727129,165327169,10007199,578675476,377545001,277458944,567720251,499445487,719609072,511536027,689834705,298724381,370211460,783341277,784465321,182688347,303616909,526772348,959713708,109265970,486802522,550369403,514858347,892629806,43632565,390989037,148286613,549635681,445963661,997527205,471990976,312511559,327305684,136205760,391302418,758878571,316301031,478691759,161415635,994536084,26328675,114313470,471167298,587406142,204564630,821626547,336793371,622916417,197592331,415696050,343867679,700297422,472066170,410500800,16921815,603339468,19736700,938931142,206397700,488615554,871549299,956962245,636699249,116630063,984194321,866662447,12026270,597732820,368005103,562048633,751615989,672202742,780561599,854399294,991801153,605722222,868923190,513331874,458658641,162050303,620979346,652770984,114937482,251027513,863370319,111942581,310179680,363802099,7151427,951357253,44486692,240888272,131414770,429330831,247756526,615940002,716167388,560280505,785595614,517165079,80701584,440850851,414821914,891780391,635089910,865557598,49971704,782086551,892032343,670369991,921634462,381067948,870081729,49687387,874690819,427619757,687198638,456016375,761496658,178029752,779533766,238191163,69126900,802920460,383299623,511335645,624120293,235209206,294422608,681389051,630536696,229961471,735004085,36509668,576673499,430822565,617564316,349506919,555385480,602816327,775989320,577605689,700758039,142980391,786273841,841315285,553940418,696412839,122759142,286384424,912653458,874345376,461164718,726348185,717881838,467188267,243649563,436602239,808962958,676853518,970187469,764969791,798937309,947226916,310984414,336645583,532065887,280149773,740376740,540585185,562463530,483226366,861052673,656335509,410865861,536339597,249093966,522439380,370473670,562274599,951429680,390095039,631460128,930582149,410349449,856877200,587040148,15158190,908987511,208545539,840252361,320933182,144102692,877433936,260909933,200686307,8951686,432655656,903800346,238657710,849572451,384953920,381392053,910035728,752898674,837170769,345455972,394864463,85605010,812676071,165353182,600320996,440818770,194878486,70383859,158928418,477723086,209004650,976153805,493078647,246870434,143242654,342810296,862071249,7039191,251954518,480631357,845352092,800354652,981159780,452288996,129888986,402519690,278489788,353157085,131326679,616172301,134943450,89686470,113819823,502823669,607629134,777160481,284621606,640447660,526829651,723461718,723063589,222410417,766211548,459256099,515204959,387243887,638888211,108456933,899456746,518986073,785232497,654792030,171096897,316216555,865620224,569477583,329033263,196688286,200448346,370769929,187257844,663464220,856660669,631738416,66827225,886146493,326182225,251223895,54109030,638207241,434713993,195333994,681089271,726597532,400475689,961136841,349936273,16149429,456102895,433419712,664366104,419607828,516602868,741011041,10538528,308358029,746807479,877327395,957129091,832606299,95124408,71080152,365715056,165571820,649490252,137209612,479256758,646213546,590429949,960058839,749094197,848722441,865932339,540124062,332250588,758536793,771900906,580592243,535010647,65945189,773965697,994038234,408750335,977270065,304607188,42192450,464466490,991849004,696138319,682077911,235778471,742214570,603518570,696252885,271565456,589488141,725194664,877907855,984604552,809527993,634558062,342438327,66998952,77181017,955459252,315887294,377932335,344159198,41005474,212926021,152477255,170024177,807696858,930643970,934737116,53130773,44813625,242416769,46525656,770422291,777669365,926968183,27639154,495117211,15974573,109155910,429430044,371017438,260775989,905749972,630228601,502488794,587838122,177606132,948913740,749352512,362476518,854590236,811814744,487668561,156567625,936594381,345965491,600586995,562893053,527562739,408420511,640414332,802694136,9726320,638471636,981767096,820305905,146252425,499773517,144389994,101495347,123642936,690228234,990592117,557682017,884926159,23002061,390324595,762206257,550888484,944697335,833484473,916425727,665345246,346491150,177145281,485606112,470406351,308427936,187645716,129723716,665493743,34692973,127835218,199372652,628758489,794017980,733752993,59817134,13329992,817745721,288831665,942384018,172176784,939531432,60020545,509606009,729930046,405617341,409735008,675636149,57119983,344205613,862286621,407819134,399616543,71237856,862815737,886130964,230036875,280171396,142624138,103262321,943255235,266545419,391783418,633397012,748456297,168941471,782484,981891556,459252096,199484520,898471482,618007321,386332356,826879388,908079344,487651862,760134370,532635159,262410636,660642185,253005320,237641466,690103407,975332835,3688093,504846845,938194943,413851950,584639664,633938553,261069613,445794458,184384315,259417046,978657770,967956301,840630745,365344104,992274623,99559452,756205778,481048787,345316875,849581566,778386820,355055200,150600612,908940910,372632449,497576739,295822515,333160578,12029232,531264601,396673134,618063963,288702784,440764073,605944259,322202836,191234298,552193497,628849919,442120578,779497828,373737366,538179482,804805303,33283956,74292587,960001105,464648440,75878044,444649736,958014196,774223515,704573193,784895626,765802515,792639663,682787966,646448686,389273655,128145138,847922169,78798641,990874043,371959057,8842344,860278556,222900943,833950895,42932970,942602042,220277520,625130836,636473816,346184598,802920540,106242733,713060997,338603220,49761437,406917226,603032452,426640433,148965827,320844345,934491973,560454453,169027901,189657271,789440460,126621252,232364114,363186217,678746589,135084218,628533943,656038498,940384782,584777673,408799614,687028339,173116496,604378198,874033199,866286991,918395292,152435331,664131482,298222524,490845928,602251251,634821603,252376831,957114314,557407609,315632437,873409923,948737663,151770344,727072743,634594245,525259026,213451817,873534251,652173993,156352970,269920930,912778342,692070197,320060538,483471153,5928006,119331642,942251507,640338448,468096713,530368259,531552603,281242930,651930909,946189144,47509314,676584866,328927718,588515002,358003696,570252241,444473834,61863386,723276299,886157120,569840490,212161727,815922878,971589222,740058137,745927852,536743055,518106905,539066587,169395521,214758099,642591200,618342912,345602105,715168264,20527244,635086839,36779716,279318227,27264288,938981019,99373869,707624993,490568445,90046203,861828139,257347873,180315298,506766560,280956856,873827606,87631836,554183872,252555165,839553217,469862203,348984939,697815595,541882458,718127133,154131470,181530640,22257913,486204215,731334560,243204725,567963085,336152328,770105344,584841529,779723999,933300747,889543422,794017695,972965185,875860547,116156216,840247169,13270063,736710408,370434939,647612390,513380091,580456432,92159766,893287139,572970210,236641880,160042697,622719285,972351976,740965544,654329908,810696422,276633834,126235219,641271806,893539914,526411201,466143119,824564208,804885263,747706833,189883635,13047803,384829109,516656105,676327453,757181062,714131160,798473545,193381525,997609787,125407186,811932726,618043225,273233741,184547476,133625687,408001888,930123291,29173219,7456156,589063891,985019039,2558268,983749412,676240659,489211137,507721729,281708226,880461274,753880517,976661838,53333914,704940632,809496356,13902442,73848244,874894754,905518647,513773457,526523173,247040489,611515687,172197840,470612423,23917531,813884578,139246581,635435821,321585100,955503608,271931208,733931516,683706989,814438966,85056446,587561073,292240283,806995705,701346218,219530985,358846653,847750123,646359467,923410391,723015357,621974605,401858048,379721589,76259908,333433412,34347461,56405875,378281806,307170272,467067856,953144980,502626312,866310679,890041425,966037594,9868143,576560591,856323722,815238881,420518858,374931494,509219142,511111741,695939345,360805531,991126435,492501329,626066895,673704205,21275463,984107912,661144314,836379556,329219080,831663071,113507812,57695759,112149282,817941918,91993964,254127050,817619160,346756343,127549817,184426734,878090121,727213363,909694737,703633357,439932059,382610346,967362349,30679244,485427954,15072988,609739162,886222442,84037375,805484982,794290823,659782215,712439443,978786051,216229540,548062229,962128873,612369259,865730543,574439103,379034296,796737200,10941301,356699878,534657376,586269519,29594659,355566472,304556616,263385263,798564460,145045660,9326632,692083259,623644170,949652756,510778537,452140372,798769128,558357702,583573563,778665183,723874670,875398875,960583848,769427864,953567468,804533437,415150129,31412773,345048812,196510136,182633482,391017954,909577764,938647338,513690224,392553828,394033348,530112896,503036801,593488697,734128936,364143442,686649743,13948847,697163551,70332900,356128672,269496595,208716853,281473540,977095820,930124112,160087584,829690418,162715512,556666182,202542820,831946226,743043941,715727467,728733366,187409415,7031648,826540167,583953915,914324276,193651144,184482203,112549026,495192887,131829030,179210242,421124336,617075458,754267685,843958048,712638481,396620499,936158473,501509949,772021919,938841319,353205275,471461874,551489556,641512541,970717004,305659068,59369499,936902807,646278721,633442171,794417102,133100439,192827260,157384806,939689208,276406062,594941940,75437423,609905966,627542726,271205459,754562331,392803966,755687639,882571074,301210084,302580692,497784820,67975888,131701579,905139988,953142174,864525845,621498741,455541335,822398651,893614922,946041941,704338557,410707375,286735839,128254513,451564669,75478544,453698557,749806786,662279867,182149761,220362643,486442853,135640071,926451795,64452925,567452684,809749080,953942908,768004165,645829046,297799092,104871698,704334988,951841569,552194731,668255117,440111841,819804387,82842344,159833219,174403089,244567901,338662628,118854551,904698268,961527830,149662685,392995218,762518926,851375820,179306733,402552110,229399483,357312588,322387565,741731734,312032831,452729776,803467813,105225013,702234752,730275869,316481411,509116299,468523109,865897009,919966561,468695132,556784180,497754984,613471062,441232636,385908468,399372800,990686724,749492981,622122273,976871875,87213531,946914726,19555066,793521382,737940772,402610302,71353186,860986811,667543480,224132228,539121946,763929326,719494132,245891294,906937862,657110985,572812981,171230019,799540139,547055264,868647931,269218714,993391005,606960303,579837954,392332929,25654536,409707819,755324343,661997930,273784641,146156861,245329579,974601808,541078549,133221437,47387890,688326185,747636466,405732007,593186716,128383717,946418758,373375606,367604776,882362545,387186802,771154070,744399189,390207625,39627732,752962404,708222431,443014038,709149262,462323395,803246936,193400537,393028413,219116340,162976540,769876640,955707408,825698055,226772828,407637431,933295135,861573306,311525134,427760465,851785471,218202667,594991391,834140278,772755298,913618120,797717591,186259431,126432586,633639615,116257413,983490190,159923369,274665765,457130773,785284948,417177083,871133503,824201175,296228245,10634015,654105243,38758824,880288818,795088112,893031000,567454865,681193038,255524707,142536421,227023069,793326497,28504427,737498155,263156819,563315638,369261020,509150576,316089697,926285282,782321524,118091993,853337539,143547023,39417320,597497842,738240778,801663904,501494535,106360801,615679486,654931900,342062595,642830225,993452572,133970618,302580600,265023354,517085193,400466994,670561357,615132602,285207817,508396268,792524392,239029971,664608239,116443129,154397292,185899442,466116994,664812101,291415115,121410476,477760620,46901684,138876320,698679074,60712210,257444180,882403927,897765359,827956078,407520910,630935025,807852737,771307502,725282920,896979881,377143753,355101937,452315722,956216763,648403455,435588027,993965529,246393681,537540573,625696005,624918972,428915506,250057545,939595621,282788095,759494061,431031803,36857055,784154389,526032153,971700262,31070359,985040306,460766596,211632220,19648745,829750041,403756544,391120964,689495103,15709461,512100391,199434384,645116812,59175304,95483690,248139891,453659126,876747188,344417347,844797935,30971670,810945872,902511517,547350326,168656675,999012021,964294605,583293363,369898260,495608975,478682289,982012051,482569294,34867722,612524634,294560971,405471090,143626943,488090961,829021666,427957744,636281459,641414885,684938774,419396622,293897016,91893153,77153756,230289710,591702234,888832750,728438418,411325160,768875610,697248385,116262966,19937499,728035709,976153048,74039943,214580310,436151107,433475775,784884129,136783807,839562254,485724834,209188473,70008663,940828957,675293672,622567024,755563167,251550846,328030298,4485073,160198873,56453464,552911045,370877985,35886512,734505722,125551160,876490927,969937079,562803443,157307594,168933181,591847458,751656040,342808430,53639015,41875551,412233981,164617560,593333301,870978676,746481205,511411382,161703654,264725448,454953287,573232655,177626423,663724144,668917321,135270687,940246550,704149338,114591652,196156276,409516656,482891856,10620989,267310068,632140614,260240023,439213538,118746613,203057180,275060824,717987060,319538366,52280350,551423102,260022874,217737843,382059260,983990595,399175616,590613040,908945986,132671290,773963976,227294746,64642879,68528260,970422480,75668651,836760833,818545640,773480015,836532399,318427094,522511168,901865605,429261316,976603600,777364914,17711914,544455356,24217074,843067030,833689806,120129889,22552001,150575252,241187966,828353125,968108477,192472362,718792308,10259830,727761915,183065392,864128473,987562063,553178234,742468004,88678489,796114670,295009555,26411751,14679061,164776696,192495489,422357664,216246821,804665152,653801094,941655794,999852301,199782314,160878995,268025458,489108047,914895721,794268610,450147124,895147253,33770002,188859703,316642918,952163685,143140167,736481934,438257249,332846188,866419166,960917267,81775100,207941176,561360698,404731769,169360076,848734926,945792555,546699753,18804849,286159157,114332548,811529508,25045357,684358537,129905750,970619471,716280775,106746244,504786221,34524484,986841006,475499541,858634268,139636440,894623709,538992893,992134416,24494573,698190712,770161505,923370376,98809164,217532112,841195089,921468166,8563259,807950692,894668610,571132146,416695964,780427001,508546628,298823844,652504114,434397597,977841527,684731695,780878487,445070907,957267585,66261568,654904189,191200627,519152069,695165170,844946039,481719703,463352867,441074158,934426038,939558700,898046709,773642940,258676869,481923358,551678949,732963927,94186597,461250635,407374718,596163926,156810827,230555352,914728150,351128833,74602976,945291159,115767595,66891480,902766286,593977880,439340200,186288045,285098977,936141541,212860455,56678977,602527145,871775082,945331063,118998525,99483969,528719490,583512778,307689463,967080718,402755656,643681321,141355575,626939916,733667469,426031407,812179653,219912966,951871231,436916335,303913661,675541558,461985963,433446574,58754338,102902170,323487505,7251539,392682974,101776402,378188615,560858518,229412312,499135755,654788715,957160161,55458779,245903442,171095900,825095074,305294223,701306498,720831295,422019469,184495249,84312467,909990600,449522463,73116182,31880904,391810880,268338889,961341820,784143363,401436031,313290460,105727527,997487495,811826039,844885385,564446230,198951436,987893201,821699762,54204275,568693352,432528474,942774146,632420272,187600495,105274650,218603396,645549570,644377152,605589559,115007287,798913972,696953710,583248390,536784927,81209270,626358633,687942815,164793686,519403341,124109954,877037126,276894890,262531182,117599963,368158371,643729494,276439408,91238443,87998793,240479293,783771986,218547644,566489143,945922599,630258979,62622982,745163075,306453956,892951801,755289109,378398086,609461473,220092683,56404545,192523151,931009204,353599678,583277460,880432566,852021335,567912798,826827827,25978131,478481234,949612236,655532221,714193092,300747895,166290563,821716718,75978163,388592662,591737631,630887307,23154060,945898639,173352059,447887085,193237401,546740589,971772448,211091003,603176609,523922641,731371968,805864124,550785567]
[2999849916,79987997920,399899991200,3998599936000,29986499760000,599670001200000,7994800112000000,29977500840000000,599490026400000000,1998100124000000000,5993700114396869004,3995397647187511712,3994972574961419584,2995740766439313234,997851203862451274,3965844270020605936,1856931467816903416,2695275813489767514,391274923088,3912357379840,34229698445600,391157370128000,3422284139540000,24442437838000000,342159846196000000,2932504828680000000,6283309050719267896,8975253536313798528,7977178966022930944,3988066600541901176,996608954819270314,2980295316514310244,1925124949433714392,5238398205876461264,568034190243432536,5580128852244414720,21530155328136,95679982343120,239175964105400,16740638098324000,71738394612360000,2151935925564600000,2795075143262325756,9956351370486848,298660568018161920,995435318405694400,4975924260671517790,8942215630924493964,4892134029282991340,4966883810398961724,317688354203935308,192006674819462256,8326090924492295016,2387260434239181424,351024477220074,1169964071147480,58492327695718000,935783231227376000,1052748753287917452,5322460183506757032,3870450558719852352,2434900790279485360,2682889969666963368,992835694156161856,8868346141046239476,3646556154500612936,525853029766616274,3797063385239976320,641280543567659784,1361495317362293808,2830207813891580920,4868996474041698180,51507326980166652,515021462342151660,2860942532890561000,5313217389657264360,2572224406241064896,2381890471308483520,3178708127273221472,66641627445060416,95192743811857280,3807326515765158400,1774641457056944958,8609321655074630160,2563743443495628576,3219787064756174472,5070422625383923264,389844256276242184,3698306158589076944,1951873990230663084,839763460678597014,4086064362896298720,735711634136027136,1883230430437938256,745366086797605264,4157569079239983456,2201770795902882300,3259525374931026656,695356792513969768,157135270488569184,2020106969247196080,2116931700764652512,3998261246162546328,6526194427173941208,323669664431404852,1339934601405202390,3504381469269395320,665802377540243264,5825183174526238880,1633420179326513312,891028109283472888,283906463379467652,3445011611808851392,702357069593930816,205840564266068524,243813785252272416,406315294225762320,987188989751708544,434407624110279928,587070961288241976,3913411250756660640,5350545503295299748,160742789862985476,267877594185517680,4220246601554842752,120773783429632542,1101249273934636610,455487153075055296,1211490772329386656,67220665519241738,4032832384902952680,1599008905181729024,200192483142897344,28386892220572004,1277281029800560140,2595536048333143656,1139944919281826424,4203127827652965610,516052391509495836,918619541578179040,2919394520594330688,1143334486281391864,7978558850692726752,7830432728741512448,3667652028275977616,1494810458027476970,166020547473491330,332007496967306720,1456891615708420384,2059930348278214854,1911807526538346112,6247923280824899772,336151205934268116,4321506542172625260,2588677202712661872,4513542256302461568,3155936971644461120,3244688325976618432,593746200870066440,1626373663152946848,388858054376189472,1296062208526645280,4038973513290638468,1701988015769527360,1921384469403931824,503101678125857076,681710527807756980,1069537175595408828,2722885063169319860,1589473679013104670,765626481042690860,2637318367648009608,1855864008261008704,868516778127736996,2882752604929099868,751508942878826496,3584802688195272848,1085078809269909234,223338978419815942,1613992859067493632,725750060145884592,1917918823100158270,2670295656538211226,129858736133067176,3246138916182896200,3616275228504284136,1243845156166214868,801249477604545488,729887528289022272,6487230410178813120,520648931217923456,3847241987562926064,3160179473195784624,725987485984926060,2063415892016427174,125432059128680448,1254193164596226960,3304939147452375632,1049983278082876740,139573610221286632,1246812251948877348,1652392918271677036,3606654733520722812,88221240479324288,6174859055157614080,9801067354075348,343002479724108260,1959814872891534400,27645260058517140,153569158840441500,307107079783413000,670371462882856080,361811406666657224,3408296545195205930,4721618202455015680,2543231226489455216,1948199951061488128,7654520756826496448,3053590725658093192,3932563539839925960,242026215232939008,403335962537812360,852257460212030712,1438120599410506872,2207114262867035760,1007551410330141008,300475211574354180,2099685238379570816,2176004868830488080,2084992218714121254,220488576968651164,627134980406121460,1664028775874187864,4918138143076384224,1149665525596920144,7218492354685401664,469085172406779616,3140592166676886144,123075466549765968,410209730981692480,197647801051778064,24459878563777564,611434608100281700,1729246651220580464,2075523565916947328,2796555814315184250,1626615483143868774,6654839408872108192,3612047128481416632,1419898472652552550,8005335444796067928,478761544238830112,887871896954704256,2160197679638033152,1501483959194768664,2740186466347762288,86569223623372812,1154138467599398320,936617954835008284,2990836264891088320,958682404348004672,3163904457229413136,59201080852228356,3551702013539376480,463074035049535536,3086844833558919840,6316636156544535458,1314750295573095080,6145089661061974656,137892055603838598,612790942498942480,3912279515755706284,3621391183329820300,865936910261226748,3071183964578815428,1987414161842794496,529475904458566200,519099177120758724,7785691299725684580,5237150981739494688,8563165587359877312,1532584203757042556,4296642740493279690,818563441634160976,3293995787828107264,1616631965169979688,2930990074190317792,6744282345576364428,3471237688708812820,431484531284523906,2335500788948331430,3933917703615269440,702418676568006944,260931017361969296,1630651848176518300,1746788930100502340,1745719066576262388,3867100241368036360,5607650920517118228,613870242316123304,2542654257611068928,1072678016232825464,5933898085488378624,3770506820824330344,1862711025070188224,1556254000056745808,149525850451560576,1245921010631449600,2765481192858247920,1369332844010119300,125274829636077564,1252619824057996080,449370963012122424,2473022681807344832,2220175075095453576,794263636642727608,1553762305449159168,15906108575710884,159044764248328920,1590284430680685600,460140579995747780,5103841137377358236,2577376613849591190,946352754684105600,251219496516245288,4614601427171267776,6512636198864209050,5369359518437018724,161794994404091952,3903751344548627796,1406457419930989952,1577073813211865904,4861256847413542016,176610749161755734,3197056641047079144,2333880028279675512,5940064096494498936,4006048014127457020,2530404446609634264,5273646116241686592,751307118018629312,939037348313470180,4876217133405366602,1434526862303223108,942208280599454336,636209641021154778,1516324878299068352,5579042436346088304,4270032847149853056,2467092892134404928,1694973157882856082,918136201671652492,993098279286065752,987739901078847630,1338708391972611618,5432369215646425536,1490892376128483552,4446474103264959584,5889023297265414000,2445066695627734448,1965346170033757056,766595317852153972,1881875388253184164,6609319516491652872,4180064433437885104,1704636665962941744,2791083947644511586,1896567936335585028,3790689768237986544,4191463751531174930,1877983208692188624,802284867016114720,641515614909059384,2551031976622829248,5407030056929526324,463291835171209072,391236875718662984,561558597823980864,4991117232739671040,4185802139235720624,7218292871527335936,647067935313656992,698634152709216164,5466773146443519924,303378776651514176,297357935456522276,3150821362393076292,1775305305614647040,1777804673089684464,1423744044441996564,4965376503757161008,1320181150958939616,1113066740022319712,4564409831768920740,1763249858381910404,339762536600554448,1476260089935924384,3288410894417836090,7328607847979115888,920759599866353856,6865927762371037776,7263537248843050832,3074928783047868362,553050309254754528,5119544837845346440,595578729951622002,990401855216225760,247067533750746592,5558444820440469360,2940736804592631772,3277298231117388576,3820040010893763480,2780546963228257344,3828855958947702228,1885307482144346088,1063945017439579312,2632787582322180900,472908980269669370,895300021468339908,2296281267525745248,3651137542252087272,224289082142676908,2287611987417887676,788381728660495272,552899361787211320,740266079610412430,522846992127884502,2203824373970949800,2311431858533553792,103723563594986028,1037128210290652680,4685019551180478048,114045599974852944,1100999720291771172,2634211956833738778,1360319875423380352,743683136371738152,3704854971455443090,1429092375972730588,3608154426896968416,5481195614997719872,475409875546749822,1257179019948455868,4401306750839744256,1444650358468338880,3730745256150788694,3859356571279458550,1471087062440410040,4670501188070840668,939940256771297296,1604102188618101748,3413233459541159424,4636119556466103160,2710304730260158072,734102536074862256,6422730534392822440,4083461562901472276,530776369809015920,642494024326289772,815157573652575832,1892050837223374224,775737963452344256,218510217062495316,312125033807493840,1298144686005034140,6198177165077877408,1478224276557121338,204592507865634688,694867843273964720,1745283497042040424,4400559527457293472,4408597786153774440,2028260000888782884,90044666532559214,8103177568847361780,2999569452112286648,2846073483914293248,4665253290270506880,3032503504630273752,2743533189183959196,2872658916773026220,161146644883651960,2900337882003628560,1466444601796338304,7293383405158207752,3915445286805091104,951048184418034290,3663101188171188036,1584806403520432848,738489913372665492,1451592913783152364,1199136334708368368,1445511343378779520,114123364999187178,760743212521736360,4841747635041216,16137478007821440,161357972661244800,3226823311675968000,2503924939741433920,4463658757438519808,4142423638383351650,2735856633447425328,758417725923424976,3784168897104609104,8208780174179967906,4587660036352799984,36932071395298784,3323539917977690880,5911558971405309586,7654671061904530692,7291282506416028288,1144077954375255912,157867318161588672,2367762788241224640,5131991787189495424,2761339146356269536,1841022192155079206,5863357250724265152,2760771175216980688,1845629875950716884,740095065541732664,764017321734022958,503851465091819664,5037988689882169920,6868401427763556240,167882351290119414,1678648219414615080,4288816558720729300,456877798103904786,1015177958648099480,2038183590698403360,3333103228436982672,4919512263820352820,4365515969787427196,4998414049581180024,4920143994072700680,1881215903050979796,3548547312468004152,1177905657459520080,4167727445467628928,3383005504306962432,5329651679783384352,1104947173884729084,845232744107492548,1770926333769454456,1371471479074350472,2958354430574611360,1460309956990902912,4343131761508989216,6318734412199560750,808005079326565848,1037526923905367584,703633202101551204,1686374045195791448,436459633323161264,1756502423752961664,935152376469045420,4628235271083880310,3781171265902865020,37188020409045240,594946020637596480,743604644988409200,5792465583079338128,723134998368206928,5617837092232630278,2317447609809087968,263159668318995728,2605311145424359204,2674080425889018354,3808694609468918406,3211131163861693296,4887230937093152256,1802100137957547408,2792724619419913248,5959766318601275532,202427708035079556,1574272639748451860,2182534772907087144,810019074317359488,561045504240257968,5393555698421020620,4585616624172720474,3077142420560773920,706121917069275576,3922487920615590200,310600935839657376,1404489973542233160,1851385025488811008,1566752196446013908,2117845177646583476,1007879706962087180,266691422784257856,1176944647846863426,477369698908625412,2601042504424238784,7719197232096980928,773654618736307182,822983039091121810,4232302728205024536,1883690998491862128,53716578662171950,460379436060957000,6904965839954940000,912328559433228288,2902855865047433330,500383632950539296,2912604276335149776,1408206834467436328,3714748733326916656,3542627623580379696,402622518039695328,1885108493350007632,4073380851581248620,1903452219007614984,1422400752729644752,3240871215271361784,4954091121730264150,3040804243267081884,375304971675260200,8438847778503514512,6519691554339061826,6087391579157517622,2277087185528991612,653950559802478432,911769721830152996,4739384052593676206,206329553445019088,751953064182563456,43129571103062388,95833396269177840,3832932056107795200,734371149639659140,895518504431424336,729310468343542904,886230207252452536,1722288583803481472,2793210674782663380,5418265412903764740,601360014143095484,2368829316079797216,1823279629379656392,459981257414285004,1194090222464390784,2124176106870550656,6590881752669121302,3088215874645137176,1640600064617406984,1416978233589202872,272420012171579700,4085869044170020500,5587944168595992896,1501587344399266176,1646888553199847850,2442472107728719590,1260181806075787560,1152596781634623520,1742342528020072752,2468248101717578432,2252236767015254144,189439243747065728,2130966422791456680,4492013658193368972,1600740224363831500,399167646847156828,767049900672041532,6200770191162746076,2825183480351830464,4381893395536565376,1535792812074375764,210956094111773868,1213680923648184920,1682102370684384264,38968355436709660,467570826276083760,2337606941569708800,1643690724988025280,1466720550552371346,676499182961393310,1558941475569755648,501867591857139792,6663605225721782238,6143983955320064126,1161410729127079704,1285968365742296736,2980695864361075596,2773749396203956170,859349010967924236,346607305602465380,2772564909182630320,1642764276423145848,762326511477514816,172621630213876352,1726033501777197760,499925497920166748,4462467417035364464,3157070603009062048,2675691226787119632,2945845638092013152,7650529717603970808,125721745595754784,1960452895137745572,2858068577021220612,112218310833032620,1344125037230195892,60079658145954032,1802198664816042720,428188756716442624,1688477234533899264,251702033228085180,2013402719943831840,3089535147688672480,722393831134003080,515475341252782502,4071232928016238320,2662149830457536880,5767937605633791744,2831213748998300152,576619681449321454,776715522168233344,169289006265190544,7617196622419707960,757438149087201302,922597123283477472,3656542362684367536,4205857344161124288,5556370208788197270,3032067909904145120,1492222725365165976,2685093138216951920,2294236159272285032,853353064298359360,2337714762357311232,2244303085296983736,95249297410046832,1587319573740779200,2755371430089770212,1143254753260965180,3895881437266222716,1865728754896591872,659444696115650736,108947145772237414,1304434525854345872,1408333950594471144,3349145900596977672,25281593934751856,2275101404297074080,4732028290232517456,838048643750398992,81815232004796290,818065255459637900,1421083309600681064,3137233228078304340,6502429227915105408,2244952536161687106,657699034480184064,2466108781965571680,7388073216779666688,6482349345103159168,2115177545226649824,4046997533948562284,702690196566213816,4440495329017035732,2185354593492763000,2095195157453381568,719511938808517778,6541111364842814886,1600507438748434216,1835279126665813368,4600738881220294368,1463340646776429372,973493571115813376,1173561957397780576,1966166611789455192,1521436276782089094,4100908631570671140,4321337220544431640,1344248869296972184,2367982251847186664,2300270896142887296,1288252436995302336,1017556290529524564,475427112008126410,569777978308869040,3012764989154171496,820808158603639780,1247185369934426364,2346801060494282880,421212267841110200,5054007515766994200,128272564620270694,361112209276445172,846602312500823052,1041613621309521468,1629312100142752252,6216222513586452864,2409437075921511936,995266339949346408,554837218048001826,70932512250885168,1182082187250592800,522926918222161964,5640662497159780650,1489918440333266944,436090761684383040,7848794406018172320,2639678088094605108,4316309149494825456,4526721861457223544,558261978790462044,64381289734715796,1287488046649026240,2760872101216119072,309372159317411606,1007251142016881874,599799446763939028,4349273683834523808,2136758838591435390,2145130027561514016,6149145381887939200,1346492866235820992,5492674962933988014,4142318360639205208,1220985485494206936,793193233920975488,1758094008792033744,527230706399548578,4196563425035908120,658500644421412640,798244259423991692,2241643495449768228,1348141688289847908,1647103747303289872,895878428198113416,702606656311340874,1210554181444582144,3298942340672869632,2738672375341430430,6133760417251571286,3575477895964693068,1571987010377491260,5909437584859676490,750594767890857890,4677336191891747136,2439248198393735232,735771855430957278,227173756803689248,1987557058100442640,182905413271746392,1828857816980214760,2706742711494253542,1562663727825208736,488665927118698192,2473939139783644560,1731257097709330590,1433193576236876376,4557679699272555144,550869364400032824,37559840183087544,187779026531950560,120519121960938880,1446074074850851320,580876713418191108,2574153966866976576,474454631273371788,692164080139605640,7345110570766570278,5090018149276712832,2315817953596608552,5961939059875276096,141960491260015968,3540899328419690804,2941964526688873560,335681930543819210,2466056165178148552,3425891632355185280,4132966552400182896,26591044919765950,2127054690759428000,832885243967301112,567143727045369220,1993845137645452338,2730612161258724736,752197152629567424,1364778535179038944,3937674013243568118,5809430337921280224,1753484949954822376,3913180797768356716,711654263147147376,548439418257593252,27869741959085984,139333697069287040,6269340809198363400,4685862944401304016,1945930428841367280,493653320291395936,5813006381102338812,244496407616820042,4074500844796489600,5172216697094102208,846935186713136196,4735690995840613408,2737065838156580112,75551411540356320,566574470671379400,102051619061073006,3061218303154917360,6039545952065192784,340742392370681042,2033157844885013994,2452174733382288984,3585490179328223168,3373764566862278272,2241219515832699066,671398843126526272,1395735709016405536,3808435862826791210,344100290680374076,2855779754589060752,1554194485951308344,2502699871799237180,3232979034415255230,528698771305476520,4531214161967404800,2278043249932942144,245242451893089412,1589847569285018620,455315221994819956,117813178359205290,523557526524204400,401034650048328352,758869585662652512,1310816583241078784,730920284362556206,99622619127455536,2988355345643657760,3110863828354705290,4892924551585025928,898530956834103648,6582614343090763392,534000325655524464,2002284534846976380,2622226538041014112,3906715773232127996,427064320457852448,2585739006673557410,3841077007446137760,528790592417537016,4699851892634665760,2195290738243392380,1534169367745077696,2548549130658562752,3124426284277130040,815409390154893276,34607516042096088,395471618587799040,988571922491965200,1667922007264774840,4395765315273189312,519007216972661568,5189509624306944960,613796690476743512,5037976519573559296,2609719392834111648,2234727660294257416,1123561137056232224,4204363434049521864,1355793240293342968,1350904685579902266,2660879286566598132,5875930380672755904,572751119468500960,2176022410191365778,3052705292860012760,3421692708059107480,3636625841760839508,4071530755578986700,1390187684258757702,473635559878196800,843146953466467608,406978885194013704,114621444634140074,1217363591252759060,629424313546645792,3516129345162493904,668460046841243018,1473193323580993952,148149445647353856,5925333929711593920,1523312094603111424,701869586920885208,302480485679262252,745651701649024254,981371486886284676,734000331639325216,899229531195290512,1149686854208120622,909139433950976592,2352517251312249160,998839407726671500,195755563851501864,311665448730356776,5917506492854211768,1892652031011022064,12668346314511468,21111612912340460,1688745227791273600,2172573776319641688,2418790723608366108,430994677017167684,6389866025442986112,4803913108368098928,2424698271305972148,7078511397623808704,751844662684069724,2580493955764033728,4219281912004432656,3110365008356510680,1747051522270235664,2573533117781748096,1386361459177562336,2557934076717648552,619533284169116184,803060122239923496,3518288124635114448,4018830062291910740,5952365764780748544,3767241704020086312,592928293536692764,1081129779881425912,35151065355754864,1230153099299086480,6875614213580084336,514998677122074454,661813718314313320,1006334733058978512,1986311770138871526,3057457201908262326,6348710628308816532,3870623245030113460,1129847742628907352,1070405179818757776,4411215248871593120,3006794323051585376,2406744153324912716,2245485117949430838,626710087788553104,3555681475341586848,6016574367896514548,4767169622536743786,4082491394109094200,202742076646015872,942718165784837936,1413034896163829330,139068746551758868,4455623598165536508,4259792618407269090,512466945655937020,2315128637147728896,2778272739883000640,1302541100451139444,141623470380516296,4956279329677610480,4901055682523266392,697591040732652684,1340185698546697110,891299068735181248,6907123172707483264,585214886690698414,973865443822728752,1595215297284362320,1236002340334656648,4899125417697286272,403247872211861580,806407442746100160,21611956442091288,216095897687767860,3366864304896527316,838447046070174720,7052336569548886284,3454570800509067180,657932170692688598,2959498658162518056,1219586331374591936,1482987362763906272,1917163419405111472,122413589602995064,1224001712377161520,3063662911459010224,521204224426236888,751264022165115520,1881340779110974160,974430234704285840,1156056399594429284,3798389503953134380,4171746335132003544,887463904315594950,2650129188078044946,3245859169127384096,746462229251093632,209560541464251310,838150167080662280,3760920539907084288,224864790863310724,1284800599332177680,1619777663943626418,223227320344811776,2790035094489025600,1664401007347100372,1194176405241270024,1889141163803039016,332660158535736340,4656730575083641180,423196726875662182,6054524900686965456,2496673922061557120,3271830946609446900,812322814790073384,1897212443849949772,169556225001335312,423843960571634060,2045800977123482448,1788603409184082912,4399282044336615072,503842880012028656,3778405975803395640,693017644470719652,2309804691104690520,3551375535657855888,3533639581445068776,2239878515635918528,1625309126781518784,134238050527899138,1789643671954850320,34919994518742180,698323006066549200,6628791712160204496,1788371161442459748,636490148082527136,3642436809820535496,767143066668867070,5167290768027257988,2933394205039119304,3213310311613375520,1748620250275255056,2885439147489094448,4027343307042149472,3905094178319802048,6344239978992465152,839236833290554608,3742738486944157332,1841480758577715528,6573673464181438816,1216200723772318570,1321125800159015424,1215264641050314312,2032304848414527184,3916447153220362740,1644654655099040060,1266112413573663896,533880690461881656,3146171463690495338,483112870994022360,2760340302998313600,4945013573227064834,1741100844966931868,2229077667221274948,2473209240336384872,1759025653340829076,835276649099367334,1575370237255429952,2007458428073872880,3826920614571944064,1453900849568817880,297070411743157752,106391171955480412,1621419129853945146,171500259595510720,3086663520413652480,779216408889708608,2901341766272043504,936831700148784760,858839698337599552,1142867464559088216,555430862980404448,2528329227484931810,3213992788964456800,1496022350663232624,1456330022775116944,887625832052491392,908559560729933488,1051480071523410400,1728520935646042408,2378750709126955212,6112805364899499616,6364625946836399744,118475616227294676,197437501272964180,1689430958474700736,1046317562293090536,5060749591013465916,3017308401960220836,2491193728399328960,60288911379382392,602822330711278020,2970887075919782448,3426574877958660048,568883526307268256,1823074488896376042,2381249338487597088,32103578324434792,137571513882797760,458520879435340600,1476604231190589040,85695810361102032,2570589247472903520,4550630530347631002,2056420524912799164,1576751862078355456,5931576300803802096,558662065934555418,1242135853275903936,467554298849201316,839331868792756380,1124248556483246866,3635184205768147710,2155568254988071248,4462441197875749088,1121383828306702310,971180885846595584,1854129662572606800,1704249874674851140,4746205132037398288,2532088927360016728,734736547298313408,242638519924040352,3234820860513651520,1682990240090540382,687652196689645152,2147766557993192288,52235937280458646,3656109213103410140,3345805025247873440,4227245220086850816,2179875028181249490,966099451210200972,3567431723524097120,376250573516804300,2257252375844499900,2556139470211572840,1459258262511413440,1994508398672437424,220316996103040046,2704063985753019552,882983718195352900,2312017001539665912,2447253724901928292,7816375982206099854,7228517282076863016,754711001672531120,2535250367671893208,1890117106060978062,1397613749619830336,3472793783191884592,4027771429891630370,720238353610875032,101364474744123136,3547361375750890880,1387572900396430260,7336281662863734078,1962208472066988236,718939426920941488,243023405785602120,1943970534569810880,3423001243642516760,4156475644637966080,6604842740030363760,3519647602567456122,2908745374294560248,1321056934083119168,490102392719480394,4268026471563513200,757230593770428416,366163603816487880,5857963967550014880,675194756860822352,756874128573512132,2341659472897053344,2468874082891484144,505509087984368176,5054526534010709120,1473563076693056496,2161252896817707264,676698510514573584,511153193636926792,4057093672506972720,2127037055660522928,300937449269619582,859725223926394560,4869484311496543104,271005397136877218,763293340115395376,330643806861070288,3306068503045889440,3814727308137590166,6031075023552100704,1140649296065624384,954871773134228224,1680004577407880360,1433744384795546408,406720144575713312,584855980077626256,2815443002802147354,517086368057422458,1638765108438422720,1448641405025900512,847530620323302456,1627513586634560946,1851225693145025184,2538398397952138176,1127707550816658852,2104562924248761720,1462096101462092096,1420910740966520832,675462009850238376,2251287868575458640,2205417969307475328,2096065810427734824,1550366533241075112,3204810027606652192,2124288760640061952,593841534651921504,242393546386491924,2404507199564450582,4979547871970233128,4365812037790489572,2550820066836481650,6090882723627980080,2679983156394775232,1874934394776775776,1579798809983271906,140213948389351816,600849516359716320,1071566901242608288,76835657630916938,768270365470155260,3726578457374492160,3099438388411120896,4984771466081875260,2024221933683105256,2179812363568480620,2660733034577896256,6534873542826768114,987234384845280084,6223947055749875592,3405558386036924096,6462942044851007694,1261380519328782580,3953406035097913560,682291984635573624,271321881576412802,696568733791597212,1476541580428198160,2852126067431136704,931487380030789596,1017914024314327332,5818488340226320108,4733880762234650292,69723052814937256,4182912751679878560,158667959409780288,528833713594296320,201046846963867384,562727710518480824,1626957090363197268,1659782265543332784,5140446021725231584,2635379374548934818,1542959921223286720,494005240559465848,2482814957437515480,321419319286524556,1486703227691344264,524944625905262888,480463347219703652,1372597828694981840,1639980522831106256,3018944776336377616,6882957471149835552,6694210944184991472,3610467982840306248,1681268814308945568,1284140807866647276,3060145482704406736,3001289062572458752,1207950770722278912,2164637739124516110,36516998785572340,1643079668040203400,812923680726934336,1233806630571891376,3401836836119617470,1543135496456841808,822626358081826368,3307548216901255278,835789375950946580,733551221722307016,445613654882162416,902701907490615060,643393886950709726,814632945083115648,4408070736880118672,1903980826985093738,966092019790119586,2597609999097256980,64989240275739744,2924185526623355760,5345933542931030448,3306036957806767160,4140866627141698384,4533789510351612672,2031822591572940816,6033938760940175072,664937657952104888,2529003472261075208,2448799055129540112,3379527182652710544,1594191668859567960,1429296587286340824,1457862879278800092,2503780426364619216,737287305317211936,502399951175011216,1460784768716472020,3480099865177025664,287825640144785600,4029103033803686300,605894604195878332,462648634723620828,4625962733711643480,7647635809451655990,5431539240197046802,194301579192934240,1942795805052873200,2274969267014325120,786634793217608370,448049868734178108,1991107209075151840,4840143295152466210,458205668715565344,2290768786665018240,2925573418790673120,709907982132259092,1469705635868433648,4416569175096156912,2033373345351225024,5606899947105711730,604908438666152956,3189612484262421616,1102629654622862240,753214667685222664,1368362792393922624,3417870730794545648,1684909934042407688,6508934797474519506,3098595871265058528,3609529925472601088,1409208498131480640,1913986442823240216,2754110067750120534,3083611332382951728,37037718142485536,555502701917602320,568068749436981968,3550026548990604800,789019814286065568,265873632927975128,5316868715558747680,3993952172389614552,5414702174700238176,7103655283508249886,1239140804879067396,3215686521928133376,787820583807113920,5774443251009851728,777512736513352792,1419813716310693408,4188116789608539060,386591091860634330,1811140309651306256,261963141864854640,422806291975050984,5435462620332009540,207694187934372606,4845646430082408440,907637261659895664,155878618731542974,1412426670229268204,242941861654230128,6522652518594306048,2148654729217853480,257480097701773730,2942294693984033600,540391283436736448,146499240559842898,5518854555476636358,512113604114179104,31998588119208192,319949433059948160,1999456160496636000,2375673193204060352,5825963392513346488,2653562160880931672,2708974383930318088,6531496678575781056,3045555148184363808,1645165439771856860,1141574130940349236,2420266969467653824,294432678240819156,1180488635526267018,3691491756587659952,1819916286759348400,1919368671868531072,3496914461127025660,391179164024257392,1539037141721543568,65241358720087504,1467763053340746420,6250954415866887888,680167750291597152,18253838641485312,20279727515176640,1824967092882844800,1649471030024418760,3762164568759002780,1469117518012158504,1113225876029193872,949946720787619072,1522726272896894520,5838303490767975570,2118951143189937558,834313271245512888,1658440347737143516,1346505252978970784,797565257169475774,691876526592956432,137591662980436416,2751518636481900960,495889130849735840,722038591670093460,3580510790874873864,299136560569803632,3364901365511880180,1403493440080574976,242482991996406976,2193602724060319884,2154164708693865504,458855041151429964,2731826449894291024,409348289631782172,2338865319221942880,1539853682736480864,590857113828182208,5907894584040396780,826647820381874478,2616672708410022384,1864983968263636332,1486539892549508110,436489852371326338,826802968404025920,4793618905082687736,1274388073095645560,80381825794175388,1071634841556139840,494554680577684332,5770299707112494480,454914603482412796,325900465008332760,4351722489205911648,497230125101620676,6754136163482797110,5253327647905871352,6011263845677832064,3807537471193205440,38797250712442516,969819977086272800,2016566060072756352,4166326583748678860,2221139372447525442,2623541084489485664,3275487757222602740,647898886131373254,1153196222883707044,4951418045943713792,1647258650945806080,2297198935492203546,576829176970760784,5046675517542907080,1405846767188149104,2367717942137537350,3663112942432731690,1611810031730830848,958008787680616848,1111521285240220530,3772477800438088168,337630263776235304,53792827979430528,627510834307855680,328783675628163756,547909775532124720,3012567552349355168,581436689022275580,383379259058147478,3930516246496936284,485767656995188740,3890864610577490770,1711264380358221104,1372466335231383936,2228887397417446800,2819742084422399584,813709544915458880,5508621955949490084,2147971227202703868,4931102623374288702,2191995270857081760,919959743527629800,320207151182722048,2283438224386195278,108214565583112868,1082020973188915760,745982524733552848,744419179741404576,1459122612574954016,2327093824091825152,1565790552605029984,2791497859672248180,2197376290279344048,2762278057042402896,2050298902135510700,5221628265187869276,751026319484487592,1605176671115690752,2884009623454269024,4922719328189286960,2290100735274073072,2787223134005099936,1057253831478413504,4352795401972228974,1295020896894667180,1833945040013697072,2000634000364828864,825735683783910264,5045720661364850418,2549073551264359640,74994493176004472,1499716623289504880,6420097074767903488,2957753937735232944,2236452502789654560,3805479107639004380,81453762951287006,7329991457319831720,4932870310502903072,1870848463169830212,4265371042163431662,1923751999206736384,4395265337175372864,1275794997861593216,2112213843180292488,1330302729608836560,768280073801836260,1401863644691297284,977027710093396884,1501220789667365136,1647900749711143232,4337846439658559436,3844180419425391332,4336438497112906344,1287673943895038280,4759059518081352112,636421061102889948,226094802685154832,5327200591316569728,391950319395039510,2351429541042065820,2972806799611682124,2402198985050371188,2005051127242068456,36801699816310944,275980765471104960,603503199397956928,28529586979512622,570525603028314920,704646491355306136,1709204816531232072,697899924255545004,1979980728458484612,6917422159875148128,1706023215517019256,1609099309710996208,1266299375782361976,4023193159596834592,134704811958111424,1346891821243989440,340113024491724072,377859503961556160,3599045468407570944,338422799564169970,506987858302243236,5069289987051271920,5776151806315361016,596098788386528674,559476880933539208,5104231551328949424,6146383952928490848,894619589605595360,507299504317193456,2622568506461681736,431778266448239080,4473120358845754416,815971190906539850,4099077838338307728,186811241099263808,1449284085901670004,409503565713464404,5415358025856257472,1848608537511405516,1053071406456656706,4045608864858556596,721788085526602752,1811289168627174216,2470995660371812728,1902142867867586856,2271611336458215960,1979334549067935500,2564531326983323664,3638253255680283204,1297593470137984760,539734291801033840,1001840405410068408,17950523697022902,1615358998685796840,1099582262203050176,3274925929867541556,974345282143812384,4377841206313212960,3349470415157991280,512921171452229736,732659143697982480,4214374480995654336,2002844685758377760,694323493907906008,964198647630010464,5117178579267401416,689920598611109376,2237529676749367616,1259436086061467144,4667498772465047596,456146410172116392,2027080885363337440,847781519905578592,1397060074659941952,4723844192569161184,1215230266569582432,4712649881648402718,277422262935600064,1180264321727821904,2830638074459418228,2933780355142052550,169916508947168368,47183199375990368,1651219113543707540,4950478940350041644,2798805931014306528,4829417720040614580,1238807580771347472,11554568171432650,207957923311197600,693112066802052000,2640224342867192016,371055589353512,7420244259091520,74193767491049600,2225552777133168000,2053273262334982440,1616571499124201152,3976642602528139968,296497249853840532,1976417106511744080,821464793129373276,5586136522109397492,3386770025139042588,4208009444896257936,1269413654787508224,790976431510522040,1531765379035990270,2965091873252853830,1331777562287224416,18143472638821712,1088480879323686240,1511319336745887972,99725538168798192,664759044397568640,65133230784749488,1628139995732440400,5518431452354408084,1442291568550596564,4868176607924388990,2255398842028207848,1880125670055278592,1768762508079893640,283224972599203908,5347047916371448314,1129473364894714632,2150419939728053616,5967749511628535904,525597029145606864,4598434516798300080,4097860505716384960,4021244295051428990,3259507645674417730,3857121833281668020,1301717204163437936,4749382542543176868,1057067343387979196,1444711329341159936,329380711824060768,11832169775068664,473231212487575360,1813673590370391260,692978001190378512,553308610928077344,204314631984735972,2822877398134104304,2259951965607504384,778252691658455730,4420754401222130412,2434764373113186504,6668014555615391316,244049422398022206,1743005215396302300,1884660040723030272,1367748464734593936,2321730731134050250,3843823428907558670,1735653086909053872,384028394322850508,2194189797186051280,1149166228129753352,51626464051052232,516203885830127040,758756057268143916,199791249999985008,1997677314733020480,43412958765181356,434078473960075620,756760844052878430,69715936876286848,6273695362489805520,3451442413077903808,1138501962565147950,2569961835919798976,4934742780786484764,513361345865209348,232005709293049412,1372617201393928096,1974881628391556736,124506830897660120,1493905838005014240,242952274115871816,3643854414740353080,2350829332345365984,2943600554510288124,48087117279086080,288488670782108160,1020183347954494878,5773986904394605338,1411413101431398104,3726398905641762056,860917312170129944,1365657573791953260,645432195690585184,747850816648636032,998056306558953978,3664305118536116412,3624890532093439812,2304944604955223784,2103957458103910644,1488514237476368424,335526794444428704,372763506124796720,1881013436101759232,5050259112783046960,4296443172111079444,3075966156576539268,2271258938778107950,3212036968154782984,3531102019496431720,1105748085162049216,3236463063831320260,2335722866934432054,3722899947542857184,2348756105793996080,1257405309515596514,340222714519126288,450811456482356928,1502527049302668480,987403638034334970,2445615119826085144,973228535484942912,7271712620187427512,2303763202608982914,368363921309438774,2173632913217453520,2293090333051147520,3872187976768496658,1942147281329108560,7235348626172972448,1467158440646945448,279394612006351842,931205025958741380,3347997235777452480,1025857583155136240,3862412470163935548,471507650507022300,1470656629005379616,218358277204663792,1637492904026633220,3561609584861962296,2089978688823012672,361419834031097184,558324076077363432,1922199586754907616,7038649395156229848,1586680654863592764,2997992425042669488,1862394186635245840,6372838490450539968,5421303438323432832,355619644192167454,2859130120156138764,5237067888942232252,983288372911046020,2087239888776978912,1692352486652713816,2397821353879424304,5690149948520257024,1923114703918545324,1496679463037660804,1022915771611802140,3427711694555199744,1692597967661834450,3203878420163279648,5139948298097674208,136619084876661296,2049042629108659380,730888739764093872,844901316605984288,1295255403935487540,1408499179593789264,2196049887780902364,103495365951675376,3621906844900477280,1977947882819871576,269276489420239552,673111107818954560,274110180359014816,319988801120211938,7011076868689844682,2642634246152537840,2223973937924669920,1658779281106532520,1027900812789559170,2349363857655820572,1046465510603253184,2508827891169891070,180671353170430192,1751053210176847248,3002743091703198528,1015904959365344832,2906716240243071126,62664721114363992,626572509850226160,4872760745319994800,1553662566399370128,1735284372200414720,2247645814120611072,492372723420185508,62445023035939784,312187869830145040,3780165463244561020,2224688899347376966,5349146216556305086,2004187715290862920,7114977695047357152,3332136554817740730,2072931685155041724,6253978503523180248,4647775654551368592,2383098547570832364,1133880044681286336,2257971153366335232,411422825403191688,481883759362303550,160276361154217602,3996460412242159220,2289927909249934044,2426329519811973804,56877591361669740,2559185686856487600,434799342266445312,667905652093744540,514784932482500016,968592456143602312,111542559696469888,1951761343366832480,2668568257180368242,3619625502554569344,2506564105249678992,1506823382838986550,492568321993718656,4221508951926819840,3730905533314675008,1819689710448735606,3182966768926828198,4857726265182743400,5303148034295763648,566998455519656204,1725736257360834712,2780451916236289980,3431889446654239060,3653407317724015968,3939363561701528870,137011929341575392,1826606832199144320,682182163303918508,2511362375325510096,1104327588223821960,2160883093437450288,2561141444793064,12804171917654840,128026366433579200,3840330420322368000,5421429245747296,243935055011204640,1626038630493139200,2181902003257082372,6469898534431492662,4768064195263205688,6034339079906102784,3162186108516462264,2541208449242600224,779816426255945858,4873220788458633632,1001480913802782488,863614498600666816,562002184497878404,156531438453529160,626050552040863040,2942309921685098264,518568600487197918,662691545424385120,2109646811662451984,974371306790971712,171097292287932344,57859106933992944,2314086086270546880,812760397575229208,3497462494303577856,3084776088578549600,6005929473376313544,2374859175357642688,577656345274092118,595694616983951256,2744603368078224128,6607136727738049464,1032890777912702628,1156759942667133168,3910845511888671648,776109589147799424,2187554208243384358,3683641952974456480,813363503874848096,1324696053983868576,3056231460527149450,774961952164680040,6230662519563432792,1676389684616529144,140359006468784194,1804398382275417360,2486330741430032448,1177551395000743350,92139734042124872,252890382352898952,939108417161031064,5773828988863825680,196298983130048514,5234008392096357120,560474815676131104,1117966081800786896,3708599946333626178,449388355306922460,5630412660110834848,6174916736123251332,2549461027301823880,1344630273475389376,1681083044830766592,841934023713536316,3407163430555624784,2043286762133983940,4311926239786913696,4413890982990088544,1507299026225900684,1597028482608160256,27941243670499640,558757372869388600,2493211860282064236,768559146763073040,672545432584087424,578753574063281064,2411048296163200876,550602993886974336,1505967067890952512,5369324677118933076,1688364714352572616,1046081054704855600,719534789537330508,140429994018057588,702065046980266140,3785736065340479520,3591027174221070528,1064463801948310780,2875193134505825480,1913562582215366628,4896847058763985056,2781477388139544016,1254132980286274192,1471027470705103024,1436768525963952384,161113891253373142,1380808984655329320,5044063250608897928,187184361940662088,583021179317318984,667418939023967382,1772434607577143360,385375581150473088,694607512276343624,3143181544951067040,6833237972618124756,4384054960721767044,809138563795419312,3355253565726605196,474166904781244584,4741094059800278880,2765591109265885392,5982425701196427630,1009878103088902584,211381027486919584,2682548503014418620,3169438631331364020,62924752299294592,2516684629461117440,781055864119162198,2868869055288510152,319078630463511184,68231513574748524,682232288207135820,1681543403220035754,2051167113181898208,4539789056617633536,974570721564559404,99060718251082224,2476217072960685600,1375857688881907152,1437669052969973096,421636404881131592,267162696883144896,311188544987640168,3006721544235036264,2186352075903526530,1320252650689231020,3280878431657244460,4531603417032119580,2382884507607747990,391827997302127872,3428077887650451840,1271164801269905892,1221161098830951460,425335210305697580,585088724497587516,1950058368261166860,865907402243726752,5345681156014012128,1770801761284212896,4008563487660794800,600387795306617584,1940730126615547644,1329825421085418936,2310882195830271868,1137179178276826272,165998921408806512,3319573888724421120,166997908518341208,1252331667830289420,2279834242006831380,1446064162939698208,718488311392097736,215800863072481990,3020843687961977920,1190217143222939160,245794069009138550,1474584532407447900,858126707387538784,1735588036754957112,302416607078516858,2023745688446899638,2405932384876153840,683963463230114496,1785074627633130410,3072688546936928892,1428148573345557420,389542438110915456,3894948715199890560,929320785076527424,6827352682668229152,2729875635532521240,766960432170877776,1894024060828455402,174016764422574888,1739955003691655760,2621373832506763152,300289879524827368,5758547473157201728,495411643671508704,620602403957367776,947750418596486358,1087447653118994544,3003017665676405664,2519263087953976912,153471197681372376,3580556543384862720,861856862937054432,812591616681035780,481431618782203830,175892806094716032,1758712779130978560,2478463086269807150,1933616914770946832,1266641992328934648,2902539003784641360,317206362569124444,277592302014584046,3495770005221315744,4247715593235069180,387252935246603016,2151141609807167600,2029897356857068400,327996054353241360,81850564400056144,276755066398103538,395315916674556120,533563656322247820,592775820687224300,3820978900627826352,947598443375643936,1921233726905269504,3687130312782469362,1646265403080774480,2006239679989882496,694996845190929008,1089848130244426944,2607439897319282120,3290835046014477696,371923754822585496,3718780993185742620,979055645449526840,578001500754759340,757420791114293032,2035254007330648884,5109016866390287928,1665563854799623128,146333683129808304,487719017649154980,1954103141391500988,2471974581291325792,2233399555440364932,914248220134211508,1379394754128274940,4811228300086974752,2657176040756251008,3913581255140892384,1875261453433236440,299351682073173024,1330288284125722880,2008779252087465144,4085017286755609464,4838584706096757504,5587116724550335968,17905553275069188,59677832230842120,596704870321173600,3253735900624764552,1547267464967878672,4580133379244717628,1322889805533924992,417801304344092016,1833477945798690060,2930220139811780312,2498376247610963356,2833672190218091856,312766193105760048,31648993138823144,632901859477982080,121195709971827344,1038692329211637240,551668933119223212,2334477004008063936,597732376312105788,4511290705051751152,1584870567381010406,2153172941589515712,1758226895465639872,3910779901405496592,2345432188192963072,2076280542568533888,1941203279724915612,2276878350193845990,4147731798783031860,3668730458760804080,773680665760170112,37248709608397950,372441104423728500,3723951137283510000,500699595332960148,1128282719554721952,4044021600221985648,3969122289489025536,1886351178917687944,3424109679379854594,2157441103727572908,500607714673811896,568767687994895844,1415020980024995168,3629527732011623104,6142905630585211320,1318566607016949312,2992197132754772936,3373316318933981680,728452411897209720,2242698311405263264,1288377460142650284,5461585172201131488,6099197139335976048,4317757566196070192,17998851023569104,449915579785354800,780615317482441896,531342522441899236,696207388830916952,260605402795736782,2977978621964877440,2581795557604924416,2109274065967916176,4942171441347251902,1257074236451129004,3766897918870931592,640345856103240740,2559818748442521930,2032636090233581568,2353439690348950320,386380017195544848,197642056855032806,1759958205536975808,4474890034437628000,1523210132092152546,3200650508006895320,1035243972170755072,2564447267793296592,2185871089855983464,368062680314888792,1374403178584032588,759689298199591676,3458423812334785970,50323105789935512,628960729402784800,3436372567425619304,307935969731889616,73916506641225744,985431018367031040,1395485215236802212,158299884801302496,2638003637057028800,4069328106650982816,4568376579697254912,2782201392448645664,867393186282042420,3398340188080107980,2680545760413548512,1151187623893738032,1586274195692370392,828350414988984000,1845242195510246568,168906226312730088,1407376800111601800,3634857351013564284,602302213076043312,3341415106008421610,1691744069710291284,2286303323985858112,3946691292411810544,858311596524084942,5107888016292160782,324732181563754692,1521277318291516864,373171271632462068,6077263260307532832,1921325990845209984,1758910728309111168,1280023487228632492,1451860687661000260,3676737338779106136,59119421109633144,394080351670218960,2662082357150288184,620537165439574600,801738332948986368,1195477555305151930,714595259134710226,1547765327033469672,1456430175008328260,4998250447574501488,294438993234454216,3548148256142377280,1643827295685739976,245830039412401288,614498397529968460,96415765487606816,964037299836842560,2238474065804964468,605206552775921706,987723867908684928,368849255514306336,4496170665697348288,2652927568202471808,1624705634050869216,3392552292875770208,434910372374891010,4894070649725545470,666947357004733344,3156077379767599656,2318178750703396340,433983733269360456,5062510540825643920,2714560134231289876,304046783374056520,5320153271901509300,3033505197905631776,2971112055727703296,4113691928728092746,5015432776478682942,253974118491927444,1823865029826771036,1959656265722023668,1823604571623129824,6023828745931360,108415342866504240,481785638185919200,2226299630252423030,657250204670540180,2003092019417879328,2726962274290393512,6008017090691490320,2727511112526887456,6000473363660908288,6067439557049144754,4720877777434524132,677682646943466928,4266924820369655808,2308635758532555824,3670167232839460332,268181976799944480,2681483461944050400,412303603663296674,4711450161110684320,586510504306699028,4503767790546723552,328270280603221502,1522083724788486504,2122521651771981248,763862951473571264,34497760168827670,689868591092936200,844399827951112448,438556581439537540,602577691188282570,1460545610966943748,1485400635547997952,1240495923499518048,2477506900266209910,1544402903494625148,3671147328735168912,284920058736224832,1424421253253868960,320518409376565218,1643679506471207184,1575979328352124320,911204636445809888,3824132473405567162,1057536668485067544,252214170660691888,1541528918066430636,2434188834687181264,116211848742306720,1859155626877482240,359332491959761572,1197624234602754120,4946077464574792364,1657256769361012344,998246164067236732,1863698066488184576,269100645069101024,4731285692042190848,5092523153463976656,2679893801877417568,2344246410271141152,1002985157564046384,2961623118999789576,830592222160351752,1525549281372573408,1131084338423777088,3449057834741670126,535480382220680400,3346330452202965000,6025919172086852784,4711772679019708064,1419006544018963872,2894818620894586776,1857986471898675936,1119101161646541528,2963698754503761522,1704633781386887088,2338497639409348592,4073996056063451154,2782086477541944370,2109047097712039856,29823695678637840,417479022318722280,5366909651753523600,6326630736439697316,534629555954577832,419299110692275966,3933757698827166990,615386894208072280,1022042234638126912,2127255152309687622,2335838971072947886,668173975037907408,1015269066829907232,2675101490688483976,278033890620634120,6254971527022473600,1583597955764433472,479183559244915272,874824300422859276,5329488170968499616,1989120163786648728,4426402220959486376,978516022962655584,790370826988158624,386132778335789072,1030271627207832030,790846618834927892,1666532644841543520,3509552277875059584,2425034840770054632,571441508226305888,2142634237807823040,3633559228256191416,1176823875209080760,5571432657960931696,913953269318003152,199523839881786940,3191976838334777440,1246327563431281050,1739526203416606584,1929371634459806208,1176996054093310206,1672995466521175608,2544614872678365368,2579275648876640384,2810168633037338976,199331782606562396,4488225596530630848,2014935283563114048,4437736567683767712,2863362997474502346,193881112866714904,1335419582465511096,5741956720874530800,457827751547636886,693889191141442464,1713676932282504112,836332612274931272,2393113250620431456,13630840960075712,408873275690033280,2467513113436434264,201881388509778068,1054434997881404608,52478953850888008,524722829733526940,230896905082293456,288584435412834120,5849003293407967284,537255823406238052,627317212157974296,704430315423664128,264486503265385632,1133369376199230060,217119269340366680,4341832817372148800,646603452068392116,666384059494846112,3545022580329382480,1567035875345345024,590387890507587720,1919122230980237248,2671820467775581088,2549758116862432896,1334655018191683552,3618713096510050080,1090178095086460548,246425103358914872,468067392372073312,993776045689624338,1082829641708495046,1273808615545862928,849706825573632736,4270839759768478960,416218538226062334,3867480817544125152,1009264885426145696,2363955579250040464,1425314996711553108,2226663550509806580,5935490081345407520,6658086853814102226,5034078349800132178,3082192700535809808,5484941867566723072,720330976008617512,317404833257713352,1868727857162137776,3559711203406745904,12768386398264896,95750666685142560,1116948415819353600,226760546469065504,392724312044927562,2002921955898197490,20662691420710612,206600505923225960,590211709134959600,2917202811466247704,3143924185776654280,364877446470972896,4813221347368550368,1715337652915439152,663924043626347504,2877013228822491648,533434722705225798,622976975399939048,312106395337621248,40652508181387672,406473053059240340,367588558164078510,5747969899197219392,2659135017347775820,288612310636219388,4223585893892777604,2721235879150601736,1159196000232678720,908844166698528704,897881043871910176,2302409249167731864,579868020304147120,3556004453079706130,3739188089296429232,734463373286743296,935595238192343008,124973471912764066,2558820873245931330,3453456621245586480,1872063663393375396,461454201593529222,189358824407073552,837341538725153504,499957155337438000,4608332537294427136,2401208290589975272,959212628924728824,986372140702954908,680812488142000008,2741549661542646528,149179564473015584,93160927797725520,1490383420132743360,780292850257892504,659856176534634900,2181068284129872624,1935528040491915114,2254332945406786192,4359066342586415928,856816956661661184,4237521528651990670,1179515786870738212,1497402267902448264,4677182032461096424,444644020675203986,3175620273134063300,939768476867514112,2018804953203605392,4074006502670380788,1056499416291809388,2329818596908018944,4956800875443918732,2818388660964578604,290276184851783256,6295094789405522184,2699903372978883792,743592857797274360,2344126988025907392,2130394406000750100,330569586594253032,1110883576420837968,2687547761754842588,513255313691002800,2193389683255094688,2130193725283369494,667052097734782328,603185277448513392,4353551148000255936,2172261858376931734,342516307317922376,1233816171512473840,2153611376854853888,3950702653909979344,3798549640711908992,2091980367479772308,117705743005976592,588452775605249880,160022405276033088,1333347939200614400,3764054950266304448,2820047575507919496,1647555769445431104,4766793358640662976,315478740898863984,2239888955297022274,2191220375505409248,544810936609425096,1645292435163032560,365767858570059484,2188467295284790,21881844843909800,1093950839742370000,2904714665343954288,4796519770228862718,1106018096568927552,4587020224800893376,620637883103402834,2181561420436901928,2144555764864567392,4616513337642389344,2640575023963172152,158765515600324990,1904939664418321440,1534583697947172864,1842741601056785430,337902716202061410,1876994300712251000,106985503149426580,681015039724406852,2440880131382673540,2535036191304745920,6262752987792229968,796462914060940788,3043028938069821330,1864541575861723872,2026232126312190888,2835525386966908104,2663309251871667270,1140372435905595160,383752168227882304,1849440444013012592,255112128740450732,3832556395828798932,3418389542317634388,318452124172115700,821076653321002848,2563095862710604608,2350346786728868032,113076105420193136,565307154887431760,1124827221312891656,3738997727998441188,1008516188590711928,1021249403262844494,3476932381955917136,3032202215564889920,2259816769167263064,2649337791052853264,1622935912079759776,1701597685606682960,2490000306276866280,2908083569294679412,1047734827523509120,626627497224932768,803204022906716648,1264706003884576602,1761083795630482140,391762769611177008,5222824313355781440,1449937350499654912,4329247059548198736,5504957136172747904,354796753499546294,3885954396984788904,3384044608092602480,1221255514745605780,1608942139911790836,2537340349236498890,2589791772478512,207156366699381120,1035646960862119200,2080795252546329330,1080969613769001320,1344060542748753648,928034466242032616,296589090845289284,564500646261415424,5644270845975224320,3797482028105271478,1440397817917189656,2828368812712645984,1121249672369668936,543330007663547062,742128589564953684,571523331642676800,1147639582728794520,886217149889704542,4345289546875630288,2236057649904530472,909828983083680800,2903057726120702878,4815711578602175670,2650546833827791608,112275680265728448,2245220442284769120,2793555161549847890,4267467799889531552,1125402951571957008,1296313399176711036,708185939591976196,587681419310514256,105020205493728496,2959027368393836394,402619536255384084,2521150211709958440,5367254510973715380,977903439987537780,513925722004140572,93555896203445592,1288874342429418432,5654263984625741184,2331935480769624792,464408768637265816,3316771510759416400,1059085366890878026,363317739026194840,13151668641489664,591747628300068240,4601879095155542200,192231250614610396,241442778445520964,2045051265270840288,1193345267210686674,2665402220803490770,1055824800481985800,673139910582167808,1037265320464165032,3488313626103942384,234086272948258080,1872444754984577280,368625430800504324,93014698375922330,211567964553682896,5429411964899542016,964370715326152134,2390146852384747932,4333812083677018624,781303664240884264,633092608122219700,1175427412774214032,404212889171120256,673599740742420480,1664861065398331164,3732847615088908308,963963032351769872,2063146329757900576,1234974363490518066,3274846293636977230,866532219583160736,245831167295466872,1846220404537264812,1469715020455612476,1332340219259663824,850048218934056496,4152425946186564624,473181459772438066,1302034928381126016,85859619032327872,1287724958862187080,2136840673193094330,4076900795715059016,704812416400899576,1322141523069155128,339995452892310628,806598819146607552,3795822555216129144,2905716016608715478,574670245749359250,25408976657945608,254056319423967760,1977960403895383810,381476159379011270,1204030427699297400,1319770894014750240,3469808597787265902,4018600778765400864,803874338861011164,2682839597822578740,1830452759811812110,451319440126068750,1131493102457015424,1373658028819906752,1183037314606686384,410326609957304576,1560599691745616060,1868432053438140792,3172303265543165196,293521416489956522,246261441680698992,215344617141648864,3272258148105309246,212547364945317990,6375579450016620600,5348890844012467872,1629881160699332268,2314123359384986088,595602694836379552,276820810078318512,4701739709238812282,613066040679535396,650103540591713928,30839628505447636,925066622349746940,944210343415312896,1576221904335407112,700144720310270592,2276309759497596710,1418159734411190680,702033763555892348,3092618256103455740,990989501033884584,4128981519719211192,1929516423761033856,558152836477237056,1211229473972711068,2961470668459492896,742961280380731100,64811484741159632,1296058137020491040,87010483586997698,799072588615257320,1244399604277704448,2145024953880395832,175719811889533450,250995056594777000,1522012052282737648,769412960640754710,2179095326309940290,202150433444204032,1506446200622887160,1228872236041985892,1685085623627119220,1067073195420686208,371987816534655412,1400720502206043600,1332553956801807232,3473813974620462816,13259528267865824,151517365059163360,757486323137917600,476874491880457608,1037811716113299984,1158102482640505610,575574892767668094,3517430666299081728,486205771968350056,2777949835062499760,3451306619712586404,364272435940354272,1218665366345288712,616128598675885848,1507130937859375968,437585218887634992,132830395904405856,1328127450092094120,92595125984268362,219036660288411292,69982712180779748,4198404511087451880,2551293579369268552,117865352603114976,589248390307790640,4411554962729276896,3995409897252245654,527844292701390504,2345662510999580480,216559194512790336,432263303201302902,2401143182680460400,3977577097010893824,188427534148130360,376804895481778960,1205522763357890900,1770843648992921688,783661301340994968,3605528516872745484,369110755488415936,832605112484405800,511076517349191024,3529189223466675408,1653076927172154096,2565724035409685904,396321180279126368,495335431142605960,117812404630218120,1884747120117738240,1705887383192180202,975051313506526194,3476746236149843392,492800064154139168,3169425030384833364,3214254683082152826,107729817020117600,4308617558593744000,4162443735023280486,1622187138175547616,2159005438274214320,1428614819964797796,1088659758852911232,523298027992157614,313664586055224808,1303856717975937792,449319082711917184,1669936757105562456,1352007484084343512,3515375090109489248,724213050092893088,2437713302071289112,4974920638953336000,614246722215003624,2639389970365355060,3300156140785819146,793416176461392500,551223533495798016,1737898932182401776,819931985144623224,3326062510716101560,1366631012063818816,3673434659077398264,1029119835692786512,2154887182736074332,2627388924901980804,1048951655355874356,2789067566978809836,4008413573843672448,1005260398083265856,1236465530390967978,2481480192766966440,1205224943465346896,3832297862129811504,58471164923837444,1753899831371695560,2234646464608806912,1151755225023933504,2730583423428907760,5537426827186777644,2788089093645280880,1362229994799472344,518389355177234394,1741175199832465164,317829523024020288,2523337829687254104,885517815203339120,3264988140994453008,1764090895769221740,1168050030426573728,379072731433940544,565156014522157266,524405167628472704,1310836839506645120,1629508635100345116,621857825908401886,635492715814779368,599086260206106272,51163451903047042,1534697267368776420,1631884365879503568,478025117026925616,1788888387957584508,1540638730514278304,3720338827196125176,1306477636630368972,866386061355472280,339039015008701332,4826471558786742784,2298887127496776960,836685510459933624,27684827913348936,230675846819470800,3229027130330786400,2614269483429726744,1263697388747141964,3305808115929552896,1305280111082962000,2112404273649887024,3872916651248533154,5969445531551745516,372882890553702644,2012845702787262160,3869700620739739074,384442347325717632,2931193626115891760,1509211621088255140,1192568862502274320,2103292261769429332,902180381099341344,1370905111605854928,2270789840387682544,1397757709814409792,1970731776532603968,333130840044368590,666171768995427140,2901687925441726708,2700061020991340880,4541722095986032482,1704752062271796042,3546184457226753888,1893108825232426368,68277196588020654,1820479314472941280,977213206266028060,3974485393864849248,1190731024863433872,3149268198979506930,123019324508437056,2460053935443695040,3645209032549773936,2134030479212728192,4379565650661446868,55335371321804292,553278877344106740,459507799203267724,883002456790678112,524043300033324352,2719731112734755630,1786734571278487194,2524192196224223856,225085933445439904,3375831974000534160,748758848631511808,1710881937787409968,739673138055391472,1208752012182922550,343788794404039598,1346559328357517456,3080437443864993576,2676850860324363246,843425931207535856,108886464417253224,1814528443514180800,176195056492052970,3428558538249328776,715118216448785800,868982540208775860,551135701667007082,2041702947357646854,2977709270471714240,872120534606967776,664979443981853388,737012612665389130,189498256126712256,1031672953719385328,1021559395069045516,1129210318138794248,329938439592674640,3958723678847333760,3169502352390719184,4652324385227468730,1735106336767845060,26262021401855900,1312922672595852500,2239849605462928024,91541821718769568,1588805464458198952,1433106294343811542,2682989745770377312,3085164619784664168,325610252451361612,3025466631774681624,1364619978195031524,1055285414799757960,380513280619847168,3329038239436062860,3784831153063485096,121560416539807588,3697677877961350948,1415818484603058042,1193361443603233632,941294801501851136,4094186183080244944,2125139380730707632,757591188692702490,3560232431386352484,2615104369135553700,424995113924603894,658946938514505520,3157720124526418360,559555052155942336,240574257115008768,2138146345496760320,1844789615566908036,2651353879896077664,2741986896614450964,2737563415070577696,4045050196266035808,1909573712755630320,2354701291970026380,498257968793708930,1305933998950290164,495455861206704944,799267049726631290,1601462106617199568,466935473116117936,561232193749230016,339141792502751740,2034572868642037080,622279614933019348,128167431019160248,5125996878977186720,1753084732867693246,3618279641727410176,3353864448577957376,178639877291227352,1466018041074012762,173468470279459824,867223767491933040,1411987547521284552,2122216441794427986,2388860969717168512,253326049304091008,2903627969889469332,116856150758984988,4673606446474205760,2656607387813404816,381542900993536670,1609131377960734680,610120997269364560,1925013956767427184,1653805149007384284,218881765039312544,1914953140140878320,59326368417112704,222443404957275120,178797189710954598,2383635875905967680,2527744055728604160,852946231347778722,820046987599078148,980049611405526792,786348054345357624,3775661434780757004,325270814875599116,2378319024847903488,599684397579035608,2750111496584339580,216866094994295008,4878817614879107040,1313753371367675784,2222392879138364970,2537347101515542344,223336317028066360,192768103008893776,1702232437079550936,1638376908942542496,2406151744945696608,576772058993251472,989682611493434208,290172630311739092,734230125366273536,3812998190558384512,75615484765432906,972065460656569860,400855203618073836,3065612236580821700,122642348884213548,1021879031772374300,29560395153762784,73890823084786880,301488291399206730,4220255384783590740,3007644278782578160,3531778098194516736,1381207044718592784,2675682672287755980,604986604580120384,1878566621926848336,161166750928214538,1792754875241033704,4223992526380925984,2684439703181657820,5011341133076151664,1173573595942650266,2897084085767440128,4080824540102313472,1806092342859779870,454150777844387300,959815834797515024,3321016207208769492,1225189941754232040,2138137917847678488,1265551457017607760,1364869278915031392,3439253335215437572,896552107922293410,2644150486931226624,2802991594409978432,990209956019171440,561788953451392406,211439168887025648,785264140089918144,196872455472654374,4323155851061187728,582348211342971384,2656830197436331644,2008216993153421664,1454265852423694866,610706417385084320,3824619491629372072,518195869987499104,2590621223298814240,3234779730799643488,2011295393879363820,1901278259096313222,803776743728127882,5249874413115073728,494321735118671856,1345921120978984524,1326479049320753748,1700645274383613012,3792900406465249968,142096943108862560,852463648942342080,883608914111094144,251444243672697824,4086338345943680694,451287556125525772,2841973534664464272,149596576996991832,1495758536847290520,1896521749951887864,157857443731799240,315671136749608640,466119122911253104,1251744690439806472,1446799171969360636,248961547967355860,2987124329894657160,1913393357285286114,90244792216165888,3158129613266088160,3361609810164441668,299205032447621982,2604841149607770528,3417276494069656464,1939853593290562416,3831328372819727752,924265142782435584,355678092968314736,1005250129412977950,6014813618865710736,1288897515424674632,2033408930304412540,211024522919442680,1687961634282379840,1178327240690054592,1245631108048196896,1751150698808548842,5445314727426050328,147744393588537312,184654815353506680,1519298482038920124,2623398187729427178,398475674896257400,4451674452863128960,997921442757195474,3888528437014250856,2278229867372988340,3240975487125736896,47401800095590928,947904038722915520,111752526112437056,558684834503569840,471157655401146896,349305285242668538,298881004583112840,1099929563084205056,1639618724246071268,1684744071766877590,166532652283034160,1387578701787996000,615030480214562496,1784673282164230510,229448279156816540,2326414643918193184,947348833530584912,1095718334191326066,1257386736556076480,3313590882891549008,123581486067913164,4942569734622009120,1038797745893276616,1191011095224228432,1904213205698107650,2413515834333291898,113584270578182040,3283100676595744928,46904839359439108,234491443884155020,345415546753621708,733116681988978920,1666458456525806862,1125978955185682780,1521533238392151168,1075518430215028816,200739369369571344,3512447893653065640,1072681591967187612,989366698355614800,953383733278403196,543428986917335770,2950026943041134488,1113259288248852160,923779422772625272,942427126661689794,481378996261390008,797293109703330940,794797997901213312,2620357625448818232,2846076099874872720,2631068649397587952,2618569385877052140,3025371535910507776,1381200686971140420,2475896749549006464,1491961089253318866,976086911862362454,399869808263292864,23981024626444224,106567391974221840,2397430183422115800,78298463402643328,391437421794523520,315229732747584326,1997283757836699696,702450309397920448,394042320776746800,644226138599466304,4288534610837400846,251380537064610264,2376603142778637008,4485697887195221004,3565879287138239184,4346499783135092544,580025142235278096,3653547958975369824,781403976820762596,2560930128974520368,1334827221550931892,2870207219850415536,1363390768291479606,1340924682525990016,1777255036371289872,1264836306813578096,3346471370770340526,1235627010728699820,454955166645916272,194314625045989164,4968556516546772576,525087056941861328,3214593355115565280,3378739335867477442,202382517807804894,253378668078894168,2955668376308171160,1561700215169480232,2487973176016694808,278471880504507648,866630085184808544,622108980611337660,1168513053827686444,564196349009310072,2914930291594642048,691225430898284620,1427112650802168270,800442899157717312,92558319608397888,308484237678112080,1344710328568151592,1584111883383630888,26321442643170288,350903069779826880,1092314857563864610,1042937043382835440,991119933731166552,442696777005528502,1906189263518796256,157355967791876484,2313995778018340128,596681800997132938,267760731773533908,4015843818972125040,2574837772710440960,4363245592785196656,771353335244238352,3679107860102707344,1931831488796714244,1220408657139167762,1286476943187577176,1035303037058467008,827644688318071400,1364975151257428832,383672637919519650,2488031687634715664,1238221132300725776,3282845575905231476,658183965312714666,1418906348239751560,637165815858285792,1240777531182217904,1193063023510612720,3342857565007965536,1456052407651182432,1836146024172214472,3277621927685871080,653865224562008528,1276223114524747792,2888596645534638708,1131782602154437310,1487709806722292540,3189894085414307592,805746150167890890,393703611394926888,6084372766553480,24334040736315520,364958857211184600,2247090929572496216,380999021829798056,4299653860715179680,557434486659997232,254887763772664212,1563081548846915072,3873120325845941184,3982118123798463278,4114794417883011612,5190813403815861696,4232838780415683732,1475864661535109082,665351874037849024,237595599647823200,2375618507518064000,416323049980252702,1189325427907740760,343623827867274820,239654891483130452,684630941588099240,954169239725533020,1993499264656095168,1186407982387330720,2490778417198541988,1892528596869661376,1225596527347202556,858565664537888560,3714570953992379628,1933197244243015284,1536100407620445888,616251976255881728,2370211143829885904,3202954447209554196,1804335132473553720,2807565865035163176,715536701142350388,3337255679904632898,3162459396951096480,1221615147726497472,745555072456064934,1596636040547457666,460495465574896864,1000775215528739352,2694019385824334292,4104683410071300224,37275228592964704,652223484341108960,1125566844143474824,1490956186726613628,1436162228768625888,2970339676671835968,3608043231251583306,658844765297785296,4034259551707361424,1168852331440815104,3237881674048017360,4412386306598646306,3670764460591327392,347022597195771616,867432590178367480,1769747019764748496,530185104910964432,220869441387684096,455449763041362586,106545608949411632,665814882651703400,310647291904467576,1725571570856734600,1046345423332924650,1034889267792895872,1456162787009671424,2095788279094565456,221913809892768672,4992346410220386720,2915985242856220928,3250588475104652720,354893000224945504,2875963127167477152,783423227157542256,22010659450361428,660225237081179880,1555332100306665096,7869538901466768,118026175615465320,1966821134563914000,211502005635655296,1586037750565131360,455652908094801152,3447825225149582802,400449373168113404,1011970110346936832,1237273391812792604,3339112900275935766,3358578963673428040,1104861560101751296,178661754451482396,3464989890755688428,3871390152633224508,427951016448691536,812950963809156264,1538453614589687712,3161773330064563520,1549527477567079992,12260618602572444,326902878758572480,3268559291289593600,1732657642671566656,231523763575369538,381195701158184578,2945117651385246600,719424328038665088,2293733184240760038,4309397168125496426,1433745495980770736,2546445627820848180,1670595845236086280,938747131084861176,4430095443784945152,1550693274931935232,44606966571714756,1040679462471729080,998696173331704120,470994973607311916,147862043273824330,2661133644741569580,384407335363247616,1258010217090249280,3023111884180601364,3232617807810558132,1967349014244747328,1593702306554705796,1376441353191817888,3920479170039550188,1505792109160280448,1046894319825350128,680111627737231284,988412256375669186,593664393010306380,1237065590094760536,136380022716595406,482337320781973968,486795424400763816,2716588479708719616,754396002133261000,4825954301673221312,1045096628242286864,48157688476134328,963014728976715280,2298185482430914314,472666251419426400,1028872516636771128,565282791909418512,4824086876619771616,531204042803946008,755126625369556544,303553003006438614,2847515420342184648,2119489807127446976,89214014804582784,2017298964138348176,2407961020522153208,262058107770205628,371502286094177904,1857242753006266920,2612624749317180348,2589910995783953920,392775948807517056,107961844141453582,462626650802511780,1056072642938548256,422372312242388480,823534314311902968,142598918464926378,1189401257295977216,1257682163255657664,361453899754279084,1591365218254927632,1586492812589757184,205663891679457924,237240457628851410,1423236422061815220,1393681583947809520,2124659722701188016,1342511454276685914,93069826622870832,814242870962244360,3154102830909068712,474007736143005444,2138242736636426644,4553032278160968192,2397273780035457152,1822177489406317946,444364168479738592,3332247418524265440,3680351031033384448,144134355996913898,504840454738993392,3688991040547980288,2527474978605127824,1053194585684290112,265124241608336328,990616777589274288,1137129501254961816,1197162305299362776,1582519794693554748,284306929159922928,2808443238296622768,2891987619245583820,456912155987517538,139290014612167776,1218610312104273480,3293761343660197228,1560307022703094932,242840166942203776,5463108444217453920,2143187944416887916,398566957920316290,178172160839576976,1025349168035329904,257940569327249480,515805992429627120,590630395622014272,1257663446881506816,582014642934584454,76495630987843132,3441801657523403880,130432199356491312,1086776527829639800,2455438226419872702,1166140820271516288,347433388485181376,1302685163205529380,2172192375056263024,1828122467056871440,2455665878785235100,4327668306609113502,2272212491824646124,1869825697677046200,2155706509649095616,1315394722114899504,378597545518377570,1888615142523048996,604873289226195324,2154536640400260924,3443275009827092720,512066458207196224,392742933407575296,91043360611459144,1365450787268973960,2284965065324061336,95450533890704720,1336112068731097840,73461412467784990,881408011992715680,1653288360853437952,1387031652666121136,4245909859664606736,2713005843806497068,3929696717289566272,497152200894849474,3900335177846199806,1583135591187927168,467409327772147136,3121935922052224186,144709407561456882,4340646300100423320,2887550852313001868,345256481241595096,2122240727052709830,1537776080183286384,88435075734835392,2037773431570685776,146073759920144420,1168418728940692160,1211184545896803024,1309539952060032420,512718653332377440,1585364620572217024,189709414437702016,94790604917981574,421229749322648080,424343198030247372,1887612186603771264,2876338658000335698,377745098426607450,4316452873754736000,2219109032631031296,1673570275283591430,2217208364593854192,1558495807115087568,1550275214614080768,2334834577982602620,276050727565439342,1251117912178003520,3098681353430409880,2203546560670482424,490514400433231076,3088314744574852632,521472364883548832,297942560368412184,496497875171312280,2885636705422843720,130670242642572464,373911514440081744,1602242033589882720,1316477807242918528,318715778578667240,3068890706369182968,278946542987417650,2565716111724988512,1387078382135957504,1014415404573110670,756902725181022390,40275380699865648,1208083340854766880,547415975303926248,117641627923414624,3305920504904677296,3554208100779135296,152235811157402032,272174604048986348,998079245831643696,3388127622946395532,4198930141370920758,1462572086224746770,3839744900856593664,1038390760362191264,589541999539701864,552743374119648348,1781718688608612792,945724140880011312,2521148513323816838,4335680413223490150,3601945190301692096,543774334931916736,448165524680646752,496743602650627142,3616887486209144472,834743986443412248,867468033829078704,3587297505971608584,1482202109913200832,5311789434357585480,886138418214794442,4160593973689352172,1844300884199855116,431979924055305864,584214234177633756,559272795820824946,1059217156721833872,2082685965604155392,1602753224405906832,3385740668067175824,1499760545789290608,213238964349987264,1421382487759336320,1007269064637745532,441293391129121216,61937276032488472,530812246542852120,789787939817113362,442294424933693784,695634075002286936,910771075237681476,620118266921905182,612768214542345576,720143219296777024,3911557079911858104,14711456009026938,21013246646978280,1680810210760732800,1199302269757575930,2688421417546511490,3737491127166398112,1728511991505661888,5410507204206753876,2594426338730213988,3025179044137251680,1418217871575607332,779772410176811868,1271020180069986528,1730263827991321392,1546268648683596032,375114730504793690,393104422830241206,360855725076554240,718935979785894444,1632366872695486984,2208125910375721776,1173096668017272960,1787003510738974416,504141214312705508,469443697347032040,1922958306913320456,340922124360025740,2072669539669987016,1185373398904601580,4133876069481374784,1569543580613870176,1555056480446128664,544200776965605432,578695777281465704,458518730172033128,3521994968580229744,243426925579427742,1747367784715802256,360223733934795744,850376843766794418,2933363497486381792,3493483047243728040,542785632334528072,1235655766963428940,19674906217235136,98359849249217280,3933806709255782400,602914450440107078,2415012699268901890,1550947028345766636,1689936909209357816,2831245344344492530,239429996951314412,4650345169559150336,1902522660760130248,255507342727399284,186166976534346976,2838471440938376076,618363506206641440,315425502200112932,1734117550003580560,1179017657644617000,240370251779274624,5031616307545611774,231410819915671656,5205964384264475160,2278791261268896852,370251063838515380,630464842658928410,290953875411943488,1616168407289873600,646962441140196840,778605831033508016,628244672083183896,1768168345984186636,212873527411138692,95909425500229162,1727398983772337720,1936931189053434400,580681891064743608,382925644335348872,1032202829418564036,750210000864214520,291891460419581408,116792032443180826,1110019777601705472,212858628696958608,709422298838522520,484281896914600910,2777596862835993660,351034492471876512,2193636208423410900,611827296815276868,1222677507801826776,3631786832005061184,3274346792349910764,4052971162992907610,853196474921388708,1589598393131379232,609416429700279032,1803594211242091632,3567867377411548176,620415824421162576,1406995724171695476,1023346807447946396,1601516372052120776,2275604477129356580,1928719245270203386,2811717609218878572,71012998394922920,199170957141015552,3082873117162127536,765952070328324256,504635189535152616,692585624646188868,2870017781153303748,4620939883968547386,1020992037590011648,453139584987823872,1569202420140271878,2122409835678262248,979362371821868440,128351569160307792,641661104266732680,2177653128016133866,456159069284438520,42589713376616432,1277498696791261620,604981825365342572,4565399228161431712,1599387228686438548,4130714343915324774,990217363633737294,775804785348090000,305386208560245728,2793761431536042828,507706822512994800,132900276149318020,1328802033113518600,904426692776364416,875357280986070476,737955928302346224,58974489381796352,589655763004989760,1037147091326042288,981500220473715264,2949266581549714328,4562911878275076832,720744506436893574,1744652038244990784,353750387469050744,4532465615644983510,1096002219843219192,27711484446994384,415609354750064880,86272300699138086,2051032654921126576,1111332074538725248,1415161901374611712,556808539914186252,573131690776671270,2161341315890812208,557233586252840472,121353781258798158,2395732990577992,95814795163194880,2155506097945737600,5211290998033997958,2404060466291821246,2861250065591422540,914618376544399072,2369787350102345278,361172009515808950,2939529856643515800,2185571600062960320,1113533913236654096,914750831058374520,81826213826180460,163627581598244760,3850396815602118708,296951660008791732,2474221321607755200,468282846098316928,2267173848730955208,702830508634237662,2658776726977037340,3423422977514442952,62909824052553352,128627234653686410,1800507495136619920,1434488215769870976,2325776421158494584,1549456568983746024,1366084050021613824,1505674672101117336,1773636600345035112,813885600717126230,3380959945788033024,27109292994003192,451752765554947100,1204765356819151384,2060208172093960,82395776305524800,720853227509051000,427823603415921106,524456968447519296,430758787048980736,538366425938707340,2856494564404174680,2399644109743250592,3564353341947342864,4762535210692139502,1929151062393009168,14264422432155136,855734795372081280,1346426082163330392,2207859939950176330,1475038827627480836,305297628114167596,151010267233308630,3019744291997214600,1380765860198726976,500445841298638032,812598105813511664,1618789924252064326,3587846143555537276,2937297713616761544,1852606282617991530,2229629499327225132,157829389440905728,1706397885905345784,195406087345743252,2643464392403030518,904451724857677360,45787016967337232,114450033887141380,3818139494321819254,258337141930119904,423454698235306368,1411299647269912980,2056161059635871048,1056799762489177128,4774422645257590260,2072873730444070064,792480584500437936,2240897250271591296,878958782876614752,2420720250963371532,1490837737524411840,3542852792225024544,4204016947331755232,4267755719233155324,5034122927110160982,1300427066483509488,1876813566248073040,340468489055972992,1523976317331018372,2124622821496426384,352817951390318540,3527638152521091700,1326417145511786040,798240906373614144,2195312476345470208,1074315245867190504,21032534228609568,157719783457064160,525651869095406400,243706513465040216,317447261625840528,4231979847318494720,523061172925461248,928879145816342112,3322378497583467686,4039769250416833948,2058221392812157420,2175923486246935264,410263299176382290,1576950663157923648,1402048693562538168,4573855182664406898,1612512576980970540,501502060801303640,899277794601120312,476699109474168820,1076311443109244958,166526463765462528,1248756156927429120,894961759646737386,73032477423676620,973616359223972800,260723815030445688,1448242447311644200,3126260353563870096,4143354278053169664,2240285100445357160,325559708544052362,864544239072132150,3557433564248526312,1342665254032890944,390604233701236310,2431375709609600432,3557622681798325560,2372047947509021824,3819651787821813930,569083396149532452,711533302171915512,13863703019920992,138615622541079840,923961435672988800,2664834310220982240,592030622281072688,1773894988593018174,4678397569776501968,2082586203125999312,3302413203529601336,2301970488108184168,2150297638416929590,479098779772581864,2898061850557359808,995607918176844,34840887053585340,149294987523637200,1990291842398832000,990629678480098624,1016150465081363976,3767060050356704752,584418766911825672,469653332925011312,586975761069590420,1666715143555085412,1939221832234625312,62926916367932988,39081889704018314,3516825059319246480,1837681722776876480,271801764318626632,538050131285261292,145946949468799752,1702450400380894920,73895707021075904,1195872771467744848,632150393292587008,1929455659762461000,1128763915311948318,1368037733560884576,2052020566381268112,837552070724988112,396485261281122588,288316375982783288,528573357739233824,721698112914213760,799398837719602812,1556014647409982480,1365562883091599520,4244247831936404096,113396098855362246,1007808660022276640,671647489308945664,2265441210377422488,498835349207221572,4387186336633670628,697525082748624064,3981923350923268296,1206811949038446114,2495456408769462480,1174192167604778752,676925417925120,10152300778694100,56392890683935000,451072884538640000,1622669750256849468,905301306973914046,360654531968200704,117236970185346816,293046761753865120,1756113858085390152,578183406383883118,3042826829558535576,3451503616765761384,2237471944751155812,534748130405051780,2977885987154843472,3045147923607437440,2346127671186742016,27563691622598950,220475126978797600,2204407217302472000,489165984038971372,950021212116235212,3293731689719273712,26276993180261488,1050915595619678240,576899081380106832,3821866891684933616,1393945133530591348,2142351230965746822,301351009365767956,2582604976218980160,1076264263352385120,2802013609042575606,1995959205937012224,318833543886614176,1885559667401681180,717647215971385096,692839214165698208,1129972675370736384,1473520193937272784,490126157700291984,823628692834782296,61906841012426832,928457238136391280,2242924844442119110,1217032633689252054,3919996034332223104,711455264995726688,370041871171679616,68447045702764524,3079634395053657960,510110875243975460,1772676530300760752,356637865862106622,592476550281104896,1110275770980025608,1689218160178541536,150579431797644642,2396577047167305184,515625704998984700,3529036736260859124,1170359886402794568,3718865945467706544,317266689774010560,480476165365824678,3736450052727996380,654972632303612568,510675785260117756,920989953074376136,2160347197507262456,351036376770352832,13679337653069896,957403138441065260,1656406765492586656,989331617744345148,1985166912766469700,2449962839833957560,780786588151045344,1981916956911661728,3072886630517117568,4355712487382156928,811778978620432064,581822642301566936,36250286894710980,845706872001877900,198793968600845232,993813325855620480,2693498338215952384,1888202313570491240,179248829368305432,1904561457766956744,1123378701501139920,494029492769860364,624592737123570096,1154574243819014600,2870620166908158560,3760221010937387906,1348456743684678992,3176471062694845632,92584286431835668,2435527609589981998,50949816649508128,1146189967005219840,946894493235988096,257688037181235276,572549678031167760,4980843584480927952,1357044455004940016,4055201487998150160,1810600560505235824,975634354228873296,2369774744772702624,2933866584653060736,1129320079786532010,2439009850670692096,1330361437536722080,3570539503516228488,490245999537935648,2048868984079385216,138990545911145160,2779371163438277400,74250898783298328,2227174481737314720,1029447666702170784,4514565944330633312,462942051070528666,153181270546433376,1021046765045381120,2010902993768403392,1276471536047430768,2814173953046280804,2849883972619607760,3676627878593482218,157361671158517308,212017819976330912,3168943305171914816,2054597166545673728,540538089116957808,1886484600386920032,365341603638084528,277494412241502512,1387251938821684880,215611713609902064,1676713869179177920,599433145824446928,850465548473982028,709928979645915372,577017967170835392,443301760495926618,2977547846481764136,883636628142868000,1216976881523742792,134280647894982966,3580248247186052960,1858756084074889936,64125711436845512,68492991888034742,112249890552962406,549840330255672056,692055154091470016,129687380320340920,1556000988106113120,608917557983945248,1655811260201048580,371088095069387418,651545041826775096,3229908378358241088,158251398891251456,2634735725089275672,3121410057877196752,4255337714378100336,314053882129041792,3848472495100381788,277597206740016582,3931483770466388864,2422778073216279744,142042717698493488,1420200711468567840,881850559480260552,1066037656632389496,390081554275507092,3900193274863098360,2044730145978078432,2225269651726256800,2587590057174915828,2252630644974097066,3310853713672695300,1036384192760481344,623097486124216208,266697302783759290,2329661581753320096,4187607954200431488,582418993382813328,2808740424329921242,54839671916201448,274154534366644680,3255143284572697616,392063022659731392,1644644467789638784,648562054337505320,478803245821881864,917243762681168088,150712962635808832,2260332713061862080,1427418785460753488,1270063378842689312,451101038905840784,1068281332358581984,1375081658424646404,100395220887774540,1806824545811709840,2130025679286048852,1022873041947051050,1371968320980486632,25064349408547072,501206645763898880,1420926802425951408,894465088846056936,426670010022360316,2380057857892720992,842404565951702700,540572967249544288,2614818469977591744,3522318537815931168,2056832156821750368,43796580139727526,3503164005413567040,2489008939695409512,924506741896464310,753273247070647130,2995560565096013824,697632552075335264,372459325245708944,1826708387231156030,518865845095810624,1992068071511413536,2463290452801569950,3630972003329888532,696120995061160488,624695178069673776,3482280167679261018,4310985914462654208,1082006569354164352,1782354619468527936,4523118405797997306,3050083363831027272,16621172572475856,166184968156302480,949475492438589600,1048454146320812712,219224221227742608,2191889098203467040,537956301636097032,3471922791551855872,1571856138982812256,3282363834388045824,3180981611231722064,93761487650551986,312487901197578120,2155324315510933420,2100166012283991760,2234001125858072088,689207562502381952,611064724452431184,116011125716700522,275403716092616384,2409393550078053280,330147185503897480,586265858905956516,2487396147155488452,417849585299428336,2413785237580679136,87531097814032362,2818322003366719074,642607269360073560,2016559578915163100,501078665820788070,880671835836720412,2358335327184583760,224085645470865136,3337998614381445492,1532296671660792294,447847305855072032,2798592791114420200,3829461019125168266,2106881954389461230,1148746172173111456,135287077096907200,115665259424029286,141302644663522496,1412797602670065920,169092421829444152,58547361042067548,878068127030871420,415357249374222272,1861787324188494144,784075537249351452,1867261346520396996,2189835096690171980,2306628312499631820,1987169924402395880,982549713219884632,2184167728674303840,4072803581021748048,152811233922569508,1018576224098244240,364883463374075928,392835238734990688,2454821607459079300,877620279858711312,2383713073455268240,1192271473849441344,1126699404714769260,1416469044519364906,2786368654434444128,798807418908924864,859562797500940016,1897887815282476472,1963117840982955216,29524956113037440,885604628802557400,1802181565876639220,2324944371524601384,2823314801406209792,184208225724704132,339748223932201004,53656812598144832,1072961549471731520,3176911804388502768,164373763977256352,1854200140491785268,1685567060667432992,1266225510074476648,764324736782590700,964164714315784384,1475488079833893888,1050866102721530196,825149366073973980,537782341374644632,2608548125356120556,1560943435289455936,32282578229892642,322773116285360160,4160516817771740608,1197487949225359908,987062600588117466,4614125033193541380,897405519516912588,1542283455786856848,383918787455444528,3838560839095487360,2505008301309200512,248873414888648396,807819961324433952,3788812908005879424,1791505339325261952,851585065286217080,4188706456353468642,437750167421047296,1577202061685124168,807958495946622618,2383005420862154140,3002845895107774992,76843006919478576,128050719432375720,864730237647317540,615797347508134344,391838219823402288,398211520910347424,1984750596332365836,4871364339593708460,3901970923438841532,2317616198540813110,1686934018732746784,2248707548678393680,521651885919057264,769663602520369448,2394707596296401862,4053232218851036136,585172529055207632,567014318712241148,220431386392730490,365030920892850992,843605434224794240,62143481453174212,1242665628364479280,1389158564441794640,324464887333379072,4669871653733618988,1121920362441025290,189150193510786880,2647667687105507360,474384768655267196,1001873620501751304,163703190741021960,1309410262289213760,1555956657684966930,1600767464119242538,669527641229903232,1144706248810516288,870167906834447280,1611350176891091406,2504223675350689704,321387639100306132,1387904274740302350,1576191466514915124,102971380468005376,4118177042830981120,1590805358115248912,2373769020068915882,743556963721745152,379784394725263532,500709305202529696,186958403811428502,369274495237967160,757122866143419776,981308471071226984,257004802656702644,1122373368251399232,2687526337797160272,533523778411750032,3064106137260415338,903388733769596928,225434509572903344,2253973012382112280,3347564508244810490,396239327620413816,375951615728233596,785128021544624160,1896952834773389456,2874310578606704896,612210500217719104,2580064493410042320,4382653472543026170,489396258153768056,2572318489957727760,655724248006221954,4351362582986642064,2573604381320765520,894355884064034592,47984699418394676,2398838008373317400,2539557495521117568,2839262826225236684,919061451044073176,892381813321807968,113053793314043120,1808561152493455360,605497279499666112,1896090574321972998,3747849490722480416,2852343792452296584,439755155230841110,249292321655041184,311563747842488960,3099898307911421760,56176445975282674,48976422490288398,1305821316156649280,2708380122017841320,3571338651869204762,196209461109436838,1635441036059770040,13682203793028864,136799325302028480,759870073200272000,3443392795221329472,984872530852666264,73157582628396462,731454296350141140,1305476848886190080,1736804031846156672,2133453876720306488,3501266891123037712,101553864613119264,1776897146813011440,1453967654728185632,746182739909297912,1878449352461777984,1393964119937585664,224734574483857644,148538913023480896,1396400466275928652,3289872822506731332,397379425513083952,867173640318022590,423550795919407104,516067435331172536,276929453469585134,113142158712201780,162781502398925228,1162531250365894600,155949912587411264,475057390429806692,413777820935210016,343717332009368848,1299770907229147304,1619224037584291166,146235254694956744,3411101429203844376,1081461135641234008,3204551955455315628,3279713137438150448,2485173310114128816,1212295202876918928,1951197031061530260,29775831514472960,357250294851778560,163746786899608938,15259041679563906,50854972583099440,508464730891443200,1102154831456006770,128418966608352252,2567949886949189280,498479529599709228,247694585280656436,475263078385395216,4034249187591179776,368584640799472976,670981934086175166,623902915690503584,961109431615866864,2203646719702986216,872777907255039744,638320687165816590,2550254162966088280,248481483199523504,1643415652187118820,266246526439569260,1597211431027385520,3326570435208145916,1771623177550909232,963973848064008384,767947151539210944,1015518971346095440,3744701484139912734,1179805124575837266,1492586072328317148,177375836765036784,443365165922427420,261734867390133872,466250392383646624,180562775235156224,771488197989720184,1264859604860735128,1900399121580706480,904985812147316016,454368387225109616,616644715735703640,1114379512103003776,4143988592286305152,3134310908509213146,1047806341267210304,3309245445102869776,1304305344519917376,278726240400724080,189431649285492834,210444190952931760,4461273364292320464,527104678291040024,491280741876299808,1562760613475368720,2676891618395620920,701209816074660464,437888685324278946,3495473484673677696,406040349822305496,1130414269142919488,1344780495782504550,2118367013093661040,3925502881831285152,822928604057761986,3034751544821307248,394898746267714112,3948321274670781440,862414119783129326,162800058831332312,220303252362976092,2202660657521610840,2480365025736566528,3433651128551397520,37796993635038336,1322671345009025760,2300698222833179568,1651716020850679120,1389639894289152708,1812587024329287640,2964345200092127572,1000193927628371468,1600978704890347328,3610394470536385104,2509189372856091978,733210140865357500,1246916463905245952,3448316216504777016,1171802716919516142,1654646636734613144,1397593990797669504,198841186776287648,781559693965648844,180745384451650774,631180053766328484,1521279697397756244,2251463800674344144,923687833890226980,1901748697750419456,499160503822060288,1642913102514271952,2292160318373530630,1325205708823339808,371435641496883096,876044529295039860,1106086877868500346,2587583393381688320,2367436857143370096,912530593287263496,1258737440026749472,4092291288466979136,1690122424987574940,195897530974760784,1101078950663949858,2434739456363971680,381699905724398016,2542915328470945332,526223986257977518,490551934263918508,134702930611371164,286984393455552752,1101333722307614250,667055285003164928,2736356851307357208,2352849842360991540,429094427167954444,55275458180208336,828990758089856880,818275267895463770,552857827199603560,47513471437237392,950107601245178880,2076458532308076928,3021422290580145466,432046260624584840,3018498717993324804,912585699413863760,239731157090444702,567515325583629696,392223293985831440,1505854223650073192,543046562114645232,301532767364970568,3162142861497979968,294608927218053808,2458458341399369680,1304158468761980280,1013175775004147456,211482143633134124,10555648426364608,474923059365663360,973258723896264,4865462321112540,194585241648304800,3404659845836592000,733022013622636944,168163895587737784,508128132255644210,489597257022988452,1103048727500745228,1045808033729866784,2461046437084177690,372249213954566192,565644546812432192,792053212908769240,804457837042751596,3071207697231200436,1289092811405331520,3327828534098257896,95086128246751656,1426047619691600640,1375394589041746240,993543657416623440,574340387832366792,678009829943083016,1438429164973237536,892533075138930744,2805801717300130640,1434163038607852288,3060558667789179872,350873206017161296,180819984919130066,1409486877334954392,251801447612723128,3368016083306149632,101140106976725088,842689513800492800,113464217021681512,781892851096633536,2414477925505842322,1228121235665069824,2260996493706185900,3004322673811531788,1185303925738643832,405430883845268568,1957620118452775360,1518653622072310044,3071265053963835372,814730448303521344,2340444992848315340,996879212493650696,2519975167942101282,560585564093838240,2708905795289468424,1192943758125167130,2880028484950238118,265939058627956608,1283913935389249596,3441177896874005736,339198176014255964,1172519371713839832,259142162383322304,504469425005332696,1749982341701833390,1853410072098364480,510161562657696348,409335475758266538,909477483012394680,1511631814095659264,262897553386624464,1362234152803378160,359737131161222850,787311543196589040,111953190969547524,497483818880002320,405159407571980984,3250409690173439752,3362928691326576064,608316176357260090,1586035971700093368,1211600682560064168,3673847265255220128,432888887560462252,510699546668663688,572367516613901312,783108048318430464,835744776618474282,1319076677329192950,326202152204363916,146262158639708736,848299769651560184,620265663562789832,1835054250422812120,187976339236927920,3382988077945292580,127604894662033042,1909501563794253312,2187797070080191472,72702378564249860,436138662873693480,1668488675578128768,76595569240171488,1786920029986861840,1922142471906487392,143860982699774844,1611349347774557248,403973073589304754,3743614938339706122,37829234487473952,756453353374801920,2710945543574919024,569517521198915184,522859814970510920,57261885602919320,1145038758430221200,2222269559918498640,386974985272045120,1153464141837789336,2052504918677151666,1284893478723087384,452762312191661184,1905186681467034336,948393618177236268,383364323903707032,1104970477077576504,782404721323902208,3672409934784249774,1876987383953543992,251951756585471740,3526710420816836680,795270850807649948,735354929676981588,343892210028225040,344835687770501264,1427256824707237264,715675654664266674,1301040277125765792,162707877378816984,412007546160405930,618326624969371612,20304125523779136,236840143770487040,1014852102932119200,2369247747762987296,1948732839589001700,2678390435736956628,2835498189105698550,3164522140969816046,817509345659035392,3921276115554478016,831757279381558602,1223310067780954140,497870172841416012,713536572100997736,1460666462205063528,248589033932668434,3461813183091915904,1552386866172577344,826482416104159640,341809520156475414,227038146574184064,438099579664418336,627925702530020292,185018955373027762,2187306614288627216,349498648833783232,998392716600194240,1525327242960127544,1595378465291758308,461298820169762128,1291926995116532320,217971157705398810,1695034097724119600,3369822406029245952,975716459089926372,365904316769174232,2822487097080846244,1809318320368880272,2164170027390463180,238629878977953528,2734107400442555392,2811181074722801536,3137825881446033148,395740661638128456,1910094223270623460,490904850970204504,824257827677930856,298832918364662336,2614328635476729920,1462902058389287088,94763967416931018,2187152030968474010,1763464814912326032,778548819287879240,2912792392029849318,177762487018450656,248529007305115056,2681003368672470816,3530088582862605624,1425409516562937608,507481896782110096,2458052136701752540,333730354655151146,565829655130290704,852792038694096120,1491008064745690400,2628007027225176660,1241494687936704528,104155701963564624,73546207936348056,857887830483228020,1670707556230141152,166126944772927488,227941546044898760,1367408027343361980,3458647417597329496,2588867556703034516,1293707867074345692,3375637056320889152,792694938515975040,125560747824937296,361017868303997616,565957183828752144,1458670298167879944,675066433577474764,914430082731780632,55153253706192348,827152579811225340,3297356520011584896,339362736388141040,860291231540175330,1808147772181986534,4406342483482541388,3047075111634339492,695813514793665072,2209280858965565580,1109105957709096288,774622379936442240,157393954446682530,1573660832728749900,789990328332572472,586170055147378520,1128314977335851116,859003017283759014,3591883982728041728,2237152079286181040,3028190854044000792,855072272204756256,2600486781530574560,662879150294936928,950909624302313720,774966034011341452,1026316544092839144,3541724181389697408,1615068399649672408,19915143085839264,99558036136770240,497701786196222400,3775271826418961344,182701846368643034,315112575350449168,639702016618624960,2446325145708607332,1198179857384908500,1944417710888424112,1976788020251113944,822363161347737096,898216424715966440,697693680964462224,939038509784881152,447119759803217904,223698000415248488,112718460896539288,851133479118740328,1894266313887861108,754357220116991232,2201751798077450560,1152028084264709616,2589318567366725552,892452088814832224,1112257948814701520,432392668597279776,1232102502553695808,103344422022974418,2410939848348114160,1735393999752151424,2928998278326325464,735595901909153532,3569049560345572864,1351188894067909344,2962532104776586848,2561388579012884028,1821725578097718944,194930092774339440,4262929072166689974,1604319231494336798,1444602039312435640,2701591670901625460,2488559551143686818,311144159501960652,127400136582976712,1637708888621220480,1595225987066659310,949030659704217160,1591810034480732912,2879865184503922392,602436999357344516,82303418836073904,548591248111969280,372280767789970832,1358614316257505412,1600580834156222568,1540069043434451820,640580025802857348,971383394705758188,389563175298337372,2014919801745466920,312264206834788096,3122082264790412480,411831153762687402,1037077138615812544,1496540698499864920,21308753377985632,159786977302687920,1597583049119097600,171934175277711480,225165502363690746,259784867195505236,433987119929608560,715180541939284096,1188650413218349818,4310044760399846706,1556512122293697080,642419817846348160,2611144697699076228,3319947597064462000,1381538881853862208,942780768983012528,1844975128486565740,635188095098305866,910662907090700288,307482646370270064,190236918354736008,1818307925820078488,466968270984814104,1409413190989608980,1012431378850808190,795379208676164048,8262703049966976,578285017299816960,2641293435482690768,2940231231566637408,877624170990213192,3130204860785008860,11833108684106754,946477995384973920,1346340729262120928,2624642269790795952,2477070230763124776,1005903297748168848,1531602752608661664,1289019805046635428,1352183955852666608,411952210369631092,324592663654476736,278514913529555456,403559827140608544,80530940205801712,2798648304370972308,866191968057430656,4098092867056477548,643188164629003788,252284975726987904,1735207097317592360,70583244037378410,282281904620447640,848354232534330128,1469048844912096560,3768130191433773360,270324363055491654,711292418024780760,3187017283099332864,78855845774059184,394207816702150160,1967778212762961648,1453169448090241812,2048297473025335890,1090610111759849044,482884260452372256,2498666872357002048,169335867836168856,649811080750924638,987019672253598680,23192666801729152,57971146949191840,439070129275903530,2703945249217787624,420781619438116768,1649138596499924376,2327112883802888880,3161430588283027060,282595558699004964,2253232924712667570,85942898017230678,1841419017950108480,1966962971203743296,12612517291675050,252204483303627000,2941850587685870000,277536831988902528,322595551740618710,283182476171790832,379933829754700760,367345513022147504,2178987319628616618,921252819510721768,1373128303221434956,15508151609033408,19381658829771880,581343846822085200,1875102336550699072,2253215603930990144,2583639022045660810,265183672559753974,1642643186747533600,289404266536459752,2852872716385518372,1767438888086967630,673790499089723184,1016834573234452224,1425050789576328876,352080379198810958,805791043493126304,211758522795941968,604913873617995040,757408654677287648,916907154692472384,1721628483042063384,1794812567679352584,572462180446367484,4195364688718919604,271468147364395748,2485698576000223770,2914485046657829190,1879192330928632896,414847072958720192,999082648239577344,1097271325687575472,2766191830847532900,1057929921447250432,302362234651915788,85239551650287710,681791535406616960,2198797999312112424,40056465219890840,800982524655360800,113369401795062816,566743120100912160,2816321765401179770,1071272591266597024,2201135567816335392,2398931459053176096,1179542915310021750,2910208153571301716,1901006257681843536,862439348523012780,2681824194276014460,603296715586426116,208479495261026304,1389608081920980480,155316103609133084,874270594853340006,33188236051498112,290343705595055840,829400991249147200,806937911022277104,266454416622669720,1208277943576139600,957097884099234696,3407162690973472752,1153410786330516984,1365395041206258372,1747536845370601194,33416731177966488,167052900038925120,291893790168180704,737766447133396626,81648367583426420,3265333138907022400,1922657417181657072,1620845919271621952,278260924440403944,1332665779483083192,281730502969275264,1823852506320966104,851613400946951656,987458451394481640,87519359550546752,1750064258437608320,285049839538932426,2216645145964540480,271999255160963792,616451004349762020,1698320562775155648,3964047136360079652,526484817908992032,176087632058532082,1890765805424356812,2343433760476593408,1561483771282734720,151987015476574824,2279383738165258920,626835624932048100,1454460895466480720,191485894449681684,1063613717889035800,1622461131922527744,728216787895137632,235380327693293052,1822298039509389636,305396178721840192,170027323135701512,369506678376398674,1990187749346299164,1738392735666633984,69981712500360672,1632603993255372060,1646996688540892864,1386102330266486880,372443151116614660,1461669051984370008,1183176868464203816,559287693896035328,1277362502141740448,1581931234748053280,2299053823230957728,1431452279053951140,2291915043970930180,1086163889140183112,2240748808984734090,327250814658739296,1197629018058414816,970876049062800432,910072855449386330,768525639000547976,58026619173390112,1015277020900110920,76910354861988310,461376297335462880,620547992339143728,234275911990400016,2725939864221705198,968633726609587584,542838481693157868,1881243398393177990,2095156679049018410,739906402363172512,2501332163248108736,2086008776475447906,2860430882830648988,2419509591936929232,908486573177173260,997444414518234144,2084602660089410574,1226547266906549952,823654165729593504,2535475085208641590,858439452585111834,18540617057678464,132408261589676800,1059068358015462400,2132867061917878480,570924651235039440,2846465882115142560,4145411734782517926,1616651466340718770,1893420041440637360,2285353776926363340,290431175236227498,462187134557722584,190658420781238480,762491063621385440,95903874237022488,852319408254410880,922271134707845056,811539657209446688,1034787103554573824,2750871875333709344,462914014413998176,1040205286155343360,911609391002390920,3198956555931826448,1427792069993101064,428064270215109504,4405572956346898,176189886862790320,1321176421613644800,694355379622500680,3969203170351726296,1027413200339973538,327944939185326596,2342024342706323800,422943356143178086,1769930585502788304,1488318112489112856,936401779816128192,3588419060443493344,1370717132062949076,2356785778483023888,290690814237173536,176188013302115290,352309802115545260,215144872028286928,1046076081782642112,1012944171673145480,1196061043307889710,2627934348512221884,87221558542322944,2400685539012421332,902409453534683792,1842803150522307520,383216980352753664,529131902506862508,1046884016616351678,1981589687747653968,948267793566514512,998809364586111516,123085232083991672,2461240691388920320,1751459973583031152,147255932718483090,539398872918874854,771150121967531544,343797280176127104,431126862549189846,127676634373528490,510610158163729120,805272994256738880,660785035567570940,1143526117687811676,204653518487516992,41642114305816452,2498054871598030440,2429388124989692496,582370069395009536,94060034510329616,12160537074800352,30395594908794960,911695417803230400,223300122388135176,1068581799401797632,2615272053537509002,3170754062129795736,1237286110870545792,280182309425637576,4122271252885778910,2174161318280788008,3092316705709577892,156552573544165334,160336463402386018,793737332030220032,668921145743645088,1071567030195138408,2672449637186892542,296919444457333152,1920748426944561172,1215070245278603190,926290771937308596,282055695099151472,62238376913144704,1088964881661733720,1383030048028658274,134975611039547332,3323110051984657792,2921548469311602816,2626937330181144288,528876773004115344,2899883239154090176,2505166326439874958,1249861493118537848,2278162448277228352,455823164851065032,1444197074266100504,2773006197334574992,406077866366675664,1328304584576392192,1311785444759253230,294002134649099490,290220859851039264,269592048477476940,661802005955731914,1078945253167546648,739993303995753920,2653731112691660784,941214142348793176,54128341029827540,1623540693359132400,1903745575355825100,352226026164915824,1662588810411068904,876777972674073056,1817098742925670032,642709716882958704,1492971460077413862,1651094920384522224,3011464714019918940,744637499558272908,938231783512355904,2401903273577098144,1652312527767360648,1776909474118091592,536496891285160116,727967174843653160,3156616091674705632,1901220873928387424,178238407476113430,130771243254935192,2668072480429185536,212551055371022112,1092778385574334816,3519473245074705856,233298631676201348,94911227986129650,1708074964124027100,47360490029072384,66411026624472816,553319193485488100,363778745031845416,1728021886009322704,1122834839792599388,653202403336016394,329267375115168668,355581376544690928,392355015913054896,1537209671487231168,749042532229786640,113383945061956876,210856556025622528,2366860852320313752,2909817133368807330,23454252917552560,46899495988715440,71685740081154186,557448628595803140,2683515940186600288,1161283802673051468,2582273520411459448,38493465515587008,256573754574197760,2992784746299801600,795014457207088284,2831385254075094808,363623873298934912,415779076426848844,162864856588475466,1266482779873072580,1719250067101277824,1447142298860419704,1832457301371388048,452392462825185444,777878961564904248,429171923580571312,1235081837129617344,2328390157655251284,112687420197349192,835400981799057408,505680827549112016,937139775894604920,393668294118925280,133764581689596144,2006081433147726360,1073743379023253872,1276057809546315264,257895087440183856,2238077520750493392,130525578551483776,389144130381321784,569898559893254280,224071339297718404,1638492964650062976,869668715851197056,230117272736679328,68668672487759150,1098486216033287200,5883253657619740,35292690903060840,352858600148119800,2358493922715054372,671403774456553600,476738227939805496,656240236011250254,2163802312799614968,410040247591053988,2689220135801153136,1870654643850548270,90594881111618388,1348838932645057416,2734286315061275632,772498519802454708,885064321351584930,1288822621929257856,1298996694075888192,172365275331852414,118898352283482902,1944932462753458304,137251470253229808,6420989682637566,149793989889396580,1497648878420808400,319041002872984464,21344340718111688,106700958963614680,157311885692145808,995249330567453376,1213871243947173378,2197618729937060760,2438874816186186144,1288728537536775936,166768040512087336,3334711588682452960,568664744601900128,1791353185589731960,2834872431618935526,1675393239946443184,731566788517278308,137700225807531632,16211772538852586,324172251987902840,2344981604610018024,677632207842301920,1723389228011430416,1366218723296290192,732123810309781764,175493296583902700,2773327844945720986,1018285606698223164,225258176196127664,1768005657705595584,1388520642720419112,304114895238351022,2288543326341034112,103437288573261364,649920923685291440,1977889760713583220,1358695074549980032,933104721975977088,588851456675846000,2558419852745629386,663769316709400560,3394634714888868416,1619866697518169406,3564843016626897808,3154350994935246848,2332369508238505232,696290541358283288,1550205186730720312,535805668707839152,2123316437233562700,379366831581931956,94096922933024804,39778699623766992,1590836016086472960,2615893605479487424,1209181134557544624,3100800962332322424,756587615563508328,1094465724565331496,72637197762831408,726229388196599040,686994256961268320,2946310729690740944,515476643053937736,819031480351061848,401267717275333664,208877823488297544,656222401215599454,1679415858272756112,522328622261304320,1319624491369930596,119485618452221738,2674326868231755168,2510984376759608568,98071935402404364,585076366941666628,387275133837219936,1428126854273933840,499344943159948476,2558389396441536016,122285061763665528,653450037157999184,2028186866004841906,1261463834445108672,933945465964327968,854004324321448384,1450023311893838604,537495452089182510,8000527225791392,159978974836273280,1199605544040976800,632127209324435352,2550310844741012992,531689075236728936,1006977997015014738,392542665170474424,439629082315226960,1297662574049039268,1840253983203111228,2330166584098467504,2501751158874446848,9988380966031776,299592173960879580,2995329202840002600,618290344794687684,554524848309197456,488292349209287980,425477413831764460,1215679890733202496,379981958156384184,2954829987317014660,638081123828615922,2765505334915432512,2382561673817666348,1726630123474319748,207492853015275632,1770605469102809664,2536458983875069344,299325649688518824,487688905409665806,1750820065995375576,1505855492941821696,1725819533902160340,1682997571818202496,2613881782622043648,1424529703510038216,250579970018267618,571764165183953220,1172868453867242592,1077371067059859936,62351369042014104,1454576114536352080,1518901683523516320,3016557522177248256,223812809405795272,87159415064615480,1089275954351333000,3654983431973896416,296229223423688152,892799029566040842,2870796300282004608,362363345860149728,82419641357946048,1030040315940535200,2611163832645261744,493865100778405904,515577370876427580,1467076043331467320,261395214893212832,1268479250878058784,2256420435379700562,2084546957872168790,1308997351035154624,1084178223492744744,324700608069068768,405794747444626280,340754602446326336,410476894632814856,1068693017633299184,74457609459584532,496284897280857440,3228212017793304648,119587698573530736,157108138334449522,1991192821960503616,2572381888960286880,1074756699392465880,387649743577347944,707118575947260672,40282727247999456,134248884785102560,155413941406681426,1775803740073584640,20160861929000360,1007841212741198500,2309974910298248112,736593006070424440,832033792634162040,1382262838071704904,3038837905353250384,284079367588973616,1643780986921452288,894496445823258672,2778897091243783456,801794473438486936,59211203549830108,919849759097121756,1301907907002508668,2907630031574860256,1864228512161029464,1905709708920475848,107832443054964762,1210767771967740672,2122133360229826944,72751988534864652,242457879122426520,1175346668518719400,1454749654617544320,1212713797254866024,3247463314940375552,121442174778913748,2376142509321735504,1664363907549955010,535481220000774788,217064916656290816,211081804571331984,1269437922313642984,394638918057085104,662552870578985316,222879074855999940,742780503129699900,1465079209318394650,933574886544033408,457062390387292032,1079942132532266672,123778191184529298,2475064308450704880,1806038089260737076,2365488218993751972,104877870424045472,262141732924839040,21791818900882608,108937085269186740,2178301530684543600,1323438254448933888,164433616821322436,2369581104717081346,1694494386364652810,343386726137969544,2722102929922850656,2456607501106339896,1085998764960268884,355434067587586520,1104704049191571088,1235514968754211712,2168676635347599534,1188654847937156800,1029231100562309400,964834370496896844,1418556596199037904,148425200006981472,370987790782901040,956291329181798272,1775201571334455760,101296611328605840,291550154764912448,295322676073890166,2469082742897439032,121426994449180672,695482824398254096,55275207850281492,307022134148146200,181042328284665776,473389879706737248,3205093149407699226,398333291958622384,1175217949119026088,65755560350986144,739599656889137940,3114788091802094032,9385347367116264,93834382172891520,625435274059682800,309507170443744302,1174852894028499616,3445349760750476124,2993724624611063584,1155702128527864992,899529263973377856,2457142053966329184,850995284564593512,1206680634841175292,1272397101758222076,722357064878646216,1367185607702121312,2006396004808305670,270131762662274128,233377452488779072,763664127433165910,2119544205428423718,809953487690688880,2122104509438514328,57830965529984406,192730515692293740,413306695531244032,1038613824290194464,22228201820136928,1555656119854612160,220038492902698980,2429491630310284832,265337017700431446,2063310270858191740,1854065402928564880,1912270507396226432,1092980627935795508,1095147620007778024,652987209596752064,3108297695521909212,133679415200639256,2004780514949230680,335131332168586240,2045427724109605080,1168337581630582470,1553751361943322320,457121014580928432,144037377153515740,1401141741012495702,2178978561755164624,1087984227696232384,1622031941782694112,1089179484674618176,624929331174656144,1413584751990146544,904783126353262528,827662976685741084,1554078314419063456,1399099591030635264,1173138532904741520,493031819813954456,1978199535599894580,924007551912161652,183375009647750424,569090246189497128,1438871664131273694,2791215003361752448,76590740750985216,339373790473921946,2045109626316255710,2028586905090798304,2427889451692495080,1479976264641903686,1230203630513601132,1068759736630961536,1051014405375425088,1264821976439419792,1640707922717842986,603199261437043320,1776643552143882760,149972200291562936,223707625305704582,221756923834039440,2325931306806140928,102012742430512788,2379805840489961240,3253395367308160,26021786884643840,520328219067238400,677228620931270958,269471720074814560,666067485566587608,1893913079019706212,932973134517472110,507549033670594872,3775142879699261364,1135396251351017718,3538995614341496604,117712568090388264,988711715288274816,330047362344002934,2347997169204028706,779677881652456808,263514314586042132,95294266739480256,317581726158919040,1069334317388760640,211096046736732600,1172512637400647500,2075812249394639070,192524985872894260,937750007510727264,1619175984471834530,200489244798153230,945346923166303632,1752613972246398096,516570685818673192,448689477697948188,76450882001619476,2739585897276129888,246291265898016980,566030122310984592,2000262976236485744,2620945275553040128,325256692055675822,302260480047748134,510718177253757956,616490420736238984,938151452605994634,691760185481125242,3127725117953622648,754100181881714304,1177687222957518620,2012093248430711600,3293269171441119840,2649891580311614304,2212762211333900628,2921197427418081924,1820668656549133632,649425308764618904,349740357934306976,205331519115305928,2052886734789553440,436657859156725696,815825373262341624,2524526067996713956,997726634012957568,396558088024955920,1333594580509754738,682944003391507812,1080486276475199640,372137820408843048,1206543732692613852,1002701057870394376,2472344565295305120,1052979264427456824,159924721112584092,2745587514808524048,750563285802817032,2076942306227086380,1941188686146256290,235151107694459292,1017727527967960512,47348077096999168,55423361168830666,953727940668358254,544169097298684260,1516314849714370464,63042982374854748,1470694425886173320,53551214344010240,936949640837764400,518675705243234196,29938110312154032,1795909552243182720,294360915394988176,956521419710432502,1889979321457468038,1791093082551666624,1938641416886987904,2201435316496829098,1602721409726618706,414422076741020600,3251977476156132672,2864299727110725486,1614305231445574524,1162513716593101824,1366692038276959840,950675693554987504,892030211432126970,378222172945290984,1073217556320270420,616054839696247770,2420479910879272494,1378067912096145312,614555872080956416,1162259049302526266,3318507660547011248,2474567280434601384,1168093955529105252,1276548141537216464,1404768703628720488,970652688773842880,565441252753317248,339871972385992876,332208901434333664,3568805753107056,53520779311488720,891824543080086000,1144775738633830056,119642182611766304,299042232183178720,747971476378409072,322287450418836096,1481410688350994352,1203080067769457100,1155047528209223944,2442569811054692592,2457043429733274928,816673169135283392,778050389285891296,1208957056835388322,451140337584965808,1694736660093769580,435516900856130940,182444812632598576,347870521138980672,66905673410560416,1337829710750810760,1175282793083746410,179354978784332688,298861539256258160,831469720286486992,1291667353769674272,186325032074179200,863507889430880512,255841661004490388,707647447935577696,184221560470665816,1620373784008318048,1899039343996227140,96293261632919546,1123705462278714112,1027190233059885408,610106761889266356,2401939152442845918,814230465989917056,392362120005753808,681947821875637122,440147234741603340,444308414892172080,249676020482757112,69359260757092544,2773779306647687680,929094433530886240,653427756916956624,384257329790377890,153364261537291038,608229025660831056,1165237549161971712,1517063677847216840,1337436283808708304,237315357749073016,338949567982479440,460390163524301952,332485780477369364,311228328461014272,986903267235333768,1950237437552073544,2662589983813496608,290229952400322480,515214518476665972,497840748483268248,114402130263209628,508345143599562880,229232514734376880,351442952614454218,751043849992141776,981053757304345856,4717053870124376,212221963706708340,943006685771576800,2550627897531633280,669513467831840944,522926739149181528,56608577707491924,1269417365090629472,364831757734308956,781269351408752856,1695973049655366678,2325656570610348240,640822886791072608,610810666416209940,1022237396973128160,99837783538460100,443628178464932000,888013290325922124,920979152930650352,1353992266338009088,135037754863088448,527573769711093144,402875886036719928,1366352147714257648,2626409082863786112,329240181158678592,2925949602198318080,47482476186273352,474722542533952160,545325823315897092,1177475833375143744,853718544055907552,2310388271493439392,409329859696000236,298699718626062156,557299155311460576,2144187477677048832,671065775429011744,235922363190853792,2222225419441710672,253025786958178416,912437167564951208,778330857942755730,845057052675632160,514652586733902848,331089620555965306,553858134853518292,1936299587925777620,1907138947090567904,730611742570325540,102348715238662270,818612670935256320,146477029653690600,1757344127352132600,423934422145344488,1520476528449036672,1039686203602643688,698223690051506696,1873764415518627352,2337647608828584144,1446872627226827008,989524393073814640,368674811267302776,193072900677230124,241125006400126156,1598417312687585160,2255642836617017988,140138112969877296,975941911618671480,2063745266260350504,449042452656281136,472437302114465240,2475224406626848940,1292209804861442064,91530003619040840,366040477414290560,1797951709174723584,1446367810568933580,17721810802046960,318923241577035840,2834256802736460800,1341668147960633024,295009720810363104,545526600999960192,2912704545863696544,286116341353672032,953513504617702080,2628808267591742796,1221222808262682144,1629004916680121190,455552842920905504,169359653820758232,281240619538447968,1101587556750237792,1065581054425172988,1594319781221257896,1037965321998161088,131827648235105976,119947459479867486,10030521134686416,128935689851830320,286461193754269200,1409986357261283772,2129443908697713720,2861635203307399744,2318196957833732688,824904789128112294,357705157218201984,1165394313485096448,298302181007978234,1359821375415865194,1397281227106263392,1229689798027349568,287272393419575354,777831603522102738,205010527046918016,1712641601254525872,419626795999528908,1206482082940367848,1863394887266483936,683166114584014600,1890709096627891488,376589302921807090,1333844453167963576,316747920475994784,2326939342115123892,305215249220367098,821223137591771964,2494875760022105824,1170472611699659184,1326753189977924776,144379858980546336,254327227194958632,1319421130331710656,448502474311688888,2200081780519729884,203339035103940096,2253587675974557552,407966919234355026,401952219949328552,1248821564988205152,1811109358729014372,274651117643582640,3089144835846534600,2151275764462216064,2535891745535739808,39208180073754280,313596331346554880,2721786147230733464,1999615500186975204,173419022083243988,1084206769991910656,2552168684330913004,94145414431713298,1218465433683145856,2716795677716486464,963539276926952064,86137043388822888,72938363489113564,1823056374476045800,898070842228031316,1679331144010414272,259672296822404900,1053155450446878384,1913583017219342560,1993002434231524478,462720350029551670,554242919888428352,1233293524306086936,446082132184648050,952323026791529088,1359616780510111120,2167297692345844224,608185629167129104,2204010802823566956,832584269741627784,419338985979040232,535571253989081960,161489884970606746,181467525401318656,184085182139734008,1992255177690173718,1770743416631638470,1064395160071340832,618492654987568752,818615908932467760,719020944908729112,46619027041357904,447457024104456672,1062517368081771978,37816549971406388,756162898206074720,2602691833367472128,744216963304789536,604077345955855422,560292075734410592,65133881276099064,2083728743531453872,520472623002404464,2067685319254687808,1688608578451378472,416886742449238152,1521817447459773970,2492116891906354752,1150855273994417376,1950240676574068404,520460469487008144,393859092315123396,1002798953547936972,1579184110880320788,2350415094925987968,1264739925840203904,641247017288248800,363306240786950944,64781736407852006,1034039816712480144,1750470840782546064,997083921191626584,952446229308538272,1121627951853048768,494077343289175392,413961503575091616,142600160610453868,324373948314707372,543880487684554592,1167097904048992188,25862358954643890,110813868298015200,369296853109572000,1003140744256584570,199610871893551110,1664690239937823192,420457681964571076,638762600558052606,955870589179193950,2892914385013159552,1163636871457943232,1047099922461400976,147089552368876286,2784009612621321252,2686031358393226284,1062590725745379414,59826338904879846,422799040106989504,1442457240473968320,256443381694022564,2205397343269882188,921189685139392648,470411738296055628,45706641806623448,1827854487017312320,2124787233213662160,334928500853621680,1986917658778109834,686983641310913910,1082982173973993540,1662324918981615140,489073217241046592,903108675735337128,1652820041891777200,1560100420660957616,1209527757444340680,655165412615242556,975744011147537880,79559418415566180,1855967651615203700,684784757339069864,691980065541118144,2295917330174447616,2923372826181788112,775715473112840136,52084311446437620,520725451780259400,1789761953403639072,339939702456441850,2366201011321448448,2160288277240109632,119797460840288322,931547280514508980,359341286537076776,1048934334041391456,642327368666454744,432497963974998216,1749389452226353776,698409143589324816,203052770763076752,1740058018461213120,1971686944876392252,276155515528113900,408904427024734310,470934520081733448,562320019529882048,258055781066312152,2285137654806967936,179662793232881842,1604165385826949904,1140701251360398696,2904820957194418608,770443669302043992,81664394930816600,1306333453693337600,528843987418902240,2353860876857051744,542024211855911928,315735970802498336,105863828446198928,396899050435974660,179174628931150112,533981187105299616,9186024038688728,45919663563272840,1147730179355122000,73481571246347768,629698558886139120,576250680765415464,651713796025103256,809755819438784400,291408091836887824,2549239349586821780,1318460748396950904,2076915435167167140,2759657093138607246,53207225575052424,2127803195996244480,11261183753812968,100076551954187360,875469816292983800,112067747460804212,361716340184274624,405888535806023868,532332504222204280,579749071834390488,185131516159823200,740356676258313400,1457226785294417270,1312835299044811460,1765579149400789760,369598165742740578,288764996154172518,1233190269352284672,1469566169809345800,956599665492087904,244235664632210888,1161985002602002660,111288010984694432,1249035164216423682,545515835699704376,83014753929075688,74719329823545344,3325406541811024554,891114351027798342,2625495932810903712,2366445854840500008,1828334457970149260,1571631218434916844,1426839329592395264,1565530784444199672,1622060042057496132,505636444897166268,1110140254361855496,2747935608900948032,411277531904137782,482784592042410084,207269985382690816,1276408443213417024,868402177668167814,523184946779278828,1797431833100635520,1477429455779735276,2080171794966017130,508433960939514264,1513361893431844096,94979529026283720,135653747225952300,920502492805186632,147141254326372848,115164569020876732,78181240209194706,1823807763075666620,355238348914587376,1423543262140043392,279977683100220508,1058493124761830028,265399932411746888,127534982397748528,637527472128724840,192283245408571016,255925142909869200,550311671652782368,1519552318572186348,576232616654011072,1316183182662809620,15103420965502908,754996150350554700,60418297884058816,302021495719233280,15912131719159168,318168867734156320,97322647495010808,679792451180574936,53517403538071312,2140199526991328960,128069581288006956,267343865096486272,444051549969940024,1569178476270495396,58677063967190646,260726375754746720,1954692727771991284,1483330240170408816,1094200287406814292,594037569972014896,1459846009627708352,601712524159758236,65270109323990536,2283922307249929360,288143604962222976,558516373224740596,573090650984891382,420025264391555200,460574939263991448,397607664585369504,377047476189955842,572630827671837104,954385781714074164,1277581467652946568,1646878187932202220,1040939405510499096,7880903337319936,118185964618710120,163394290204360922,1400195534404063920,666221587692352944,2217543083807624664,3271343234798479266,909587273035332192,498728202109057872,1027165628932657422,189278546211562996,826759173390866688,1526999784760494100,2997707862531587490,14024131618007658,186944658510585920,97943806564599376,2166883294680442728,384542558364548584,77017264214457060,192402397604891424,2244168621163173040,254886580162371248,336049133252907232,295069367029665032,158695581210361986,160417353644903106,1173308778692470296,397115375114834152,432565166118175470,2023507472259755916,59616121384671384,228096030597018976,587137057470974656,1829982909601443470,350112986508869948,768368310880540336,83004182734666370,475167513531210720,1508298512965638016,954109987351668600,1697079331771324956,442926394321192152,73583377149722832,980880660853941120,501628759815037224,153630848584264338,555450427606754432,982821031477396176,1718249918914451860,830180288094249588,2275663867362622624,561062848057000904,241879737397921014,444165388770547008,148063406671311552,1480284512734829760,1087877802876983664,955819448489735004,390863886226355688,1030274149276487780,1397789968922815260,685509721065910280,1099823054112894944,578359461387687744,510200382572138750,580369163303918304,1040556080182976196,1106204929371001608,97985045168704650,783694746338103600,543980265212270720,1597325514242698608,221797091625653988,63332780952663768,1424649787832361240,504295216342660736,1346614319567151824,2043578968870474692,695329712211558272,706995588115610720,2903214914058679542,316182913366656468,1517540558965388256,2088212324935514064,1465847903112994786,1940883384210028090,1838506945589565056,238122333325890944,810595606861360816,1148693758436220416,331250191281608452,188128439846309456,645318514244109132,2801082465893561984,238168345248240008,413466831268954112,765862706510802870,16695798473166134,1168427429568379960,441153080490997056,66891737770983432,334378947069803160,694838660272533504,869566172534707008,2449447581552888,97954523197181760,2203450732667937600,2236197745174898496,265652767980854618,1148132169055416906,192089522543321368,346062252311548080,211424072825350398,1374938270573789896,1327937689957831876,466217532371299100,844167615614771328,922260450689790150,1521324906450035456,497848214763264600,1649868306331668432,2052412739143143858,597537513133204560,918760387171754016,616413399320557854,1299723637129148504,22055856017536048,330758517717834240,212526436406067558,2124754584305344740,816028204388208544,1215623408172941700,1377165816078178560,959355693980376472,2192562347638336128,845752141035513168,1838855755036914852,387664659624321832,288838596348296280,75521518796247104,283137601604520120,1813656815925687456,465876840487954368,448211444429459760,899332663804674320,70306778664935550,78099835624517000,129973828464652848,2335097083529637872,281269774631839380,409501846861099552,777544139852433720,621769820841506918,1559155198471956792,1816462269920380128,1182510450739382016,260349434037956024,724626145121855858,1605016353179477440,3188150239820246784,2312892584771868918,185978634486040548,216430902261841024,24590240037061304,737528897149295160,1278694469797903024,345770269043538688,502349792910932176,110573279175959628,921221036368584700,561140073910425420,802484244808430268,919999298955360270,428386637928353650,2306230605111710088,146733769752676064,90664022695494048,1359630701333742240,670302001132296120,274816652959912956,2358219197073299598,134735246006540522,2258708153725904768,2373232545126051336,1575988781872557744,785285254707819880,1139883977686167480,889140655842932220,206755668885293262,1773542593362877620,243065441793720416,1221361416417908224,881543267613422624,199081038777582610,397827360563104908,176293556995917592,695493378017373888,647789587501388176,169498942982232288,211427237638292312,1041089043104506770,290116379955717314,675630925972899624,133030689837164184,541958234870045412,986066712771328360,1452553000490333000,932565232447739280,286537897156073132,44113956905773496,442736240154888980,180459170812752112,383297673743448750,220667617005383562,93295083051643392,2798168381185006080,877711675259166384,879467036157872768,218384101926154660,764562470827998708,876349049770596192,324437365102506864,756579130277249568,939092252592257120,574785532056874292,191023939771516644,2283862998811563808,137870661499648728,868165895748810992,97178952316179318,1295401603162885120,489680601887421744,1032763199518978056,765737774035350736,1792691459624630208,432106184026998928,87775890044199594,1170057739441628240,371474006514096096,187975094534586576,519094035597862840,1487789166590206788,61843109080883208,2473115953205739840,2647460835701393544,725576517740563840,266239547220067520,183047028524403192,755502109218368190,704910488878298320,66508972511073520,398955512989881120,848733144019939038,38133266437891852,32539659206689672,1626581733129516800,346853971666096422,552858027302809430,120756203793104264,1532177652456318312,925740158835387376,225196386943783396,81670504275057376,482612060939882112,813572717730894030,1414383192656675304,2165754175370596288,546909168160458728,1205610210146054232,1404032273486207736,2044277168937834368,496209082078319808,1391329146984212982,1007174098024638760,265364909793040572,1524347474467565696,512772331476385050,2575446436476301024,691519246711897072,1472700658243719520,172960121501806368,2061963429092068944,2553003033302735584,74607574560456196,53650364553195264,1332353975154941102,1385191928812278720,5244913645272480,87393509989893500,1397948689025128000,132852025450349660,1517931398786286400,679115791985706840,2527840673533503328,361668730220697536,1199562673248589832,332878273992433284,891703320871076952,1114398830683238688,1910488732157462832,430111222720445728,192845540809338506,820426621775186720,1312466433683196480,722925743957222232,511703419066749420,984997087803080832,1058702161349897792,2139182150448306042,312441362360367192,114619598707559616,1718864615221316640,686044290796173456,112234833597347882,182877676350847352,908982209802532928,1904938077398023044,56356180650182372,1981991811102407496,1000861122300429824,114665173949518608,920961686583488984,734073823442626176,422175514894735212,757692222764143932,1173542131653563490,1457100365791841280,174055699828173376,113662962871249960,568172306096769400,205589301251611296,1438262165174388,28758025325125320,287508075149396400,209627124226228704,105709765543809504,301952045504421840,286214261099071376,453468387755030032,1837514178625836312,1987595302474624008,2167194740230932066,135891850297917168,970411898198084400,706490625380128230,618169290875272832,137421287714913384,1144889056928941400,1963636508817476192,70156596288819894,143384134725510784,1843045707197998080,11249398109793784,56232808849387240,1110382942115997060,360124668234120192,904306604045869710,1624134558345204520,947752053087054080,1376352591739605480,2409719609403999270,600451254737506764,2002773456205531912,582723447913855808,696030708581470136,315746021657340692,839511304166648512,257120443423346048,2891873156204908980,1140804842735451026,548719351262072368,33690189647779088,3031349233810425840,2888935762359245274,1144971458276371376,2538226085829586416,682527427219984848,1105617477347180154,1925987888689789788,781555839829503424,307757552501620734,36648523479345414,488522952611928640,1040648649454850560,222192030370055648,435775846967892652,308267361599032832,383653426037613216,927240657839739320,2653770428610519888,503409074765748736,631392700770687968,1614733362513394956,571166559044780568,808346967772361680,539813879236201248,12633904756290176,252613738483351040,1475183640011510520,519214536451813952,726761212817020506,554899345845172336,193135141713696336,643619607216236640,519664628278719888,1749717179723308068,1151208826039375840,865311217221084816,1598367701846166976,1602394260007576350,930970371786473220,1297459083659824540,709415857083456040,293488035100447410,1848671304188158464,132820986970643008,658281354443029212,834558875746066494,520833404798995960,75576084595860632,346655665339867728,197685110449829132,2556892515150999552,375088196530769232,1839734334419977710,276392742992883832,486462040754026848,2466625189773650868,349298591430565860,31056251153499484,1862896818284483520,922004776814160816,191319572772767888,717264129738270660,229990781111584176,966648773612732144,168862255575447484,1068616266574597104,580092444097422000,161412971342227416,1696553563140786504,1490720086242033912,2605270037818385024,2107287204213148768,919967426635115082,374855136674489470,85066744131479552,1675521613209499776,1406586619478254550,136649358121742336,170767651821045760,289501191462459480,1205327457458880656,1078599701783826936,1255502278442432160,550585712095416192,50632025112903224,759284213603894520,423814609530146856,263701571447287584,2925778248731250522,814658158758082842,611814042229325904,90386453562460640,542178417343854120,307597600805217660,646608793139526792,688950220272880928,631963179530595990,248916009806791824,169162762485729312,1668810969279193248,611260836728382750,345125926655936544,735695361055798356,430434481739628996,463112251302995216,1350106791668839408,119285353604043720,544907410329431296,66978272834091216,1116014586240621600,769745598683372136,1832170630408747076,1569458950148259670,356220226997478428,1093006188686863360,459312480544131792,1271081262449162598,690514145483136520,417671660877218900,535128593732047296,283701912055549100,947924386834974444,343100470411912680,239652792842863616,1796927409791411520,390082623402142422,949822829937636876,72011219234822916,582424650278899848,319449882672270666,246756876157750608,1579350107676888792,944471679069039600,596243870536907754,219660513177262464,488006896141309440,603790582724607112,1613908566991765664,338137125141784416,1183748047547095680,404105505951990370,155011717310454888,976310948986002112,779388501341712860,1013675492303412336,250460847607631374,1328918686829706048,1033590204178033408,2114201902593584034,784846078580313666,881492368747455616,747952130938176312,1068215395330871970,1098360422416393776,1422440026212915080,717650901690956928,880538877025095288,1500057646827565392,246523421472379320,85808713316038636,1873089815403609216,395864691208667412,183640327475438592,1019955609265331200,461017304694650780,1364528914749612820,934347576388991184,261393256705633136,245668926565131830,1336856209704236208,404400916979944640,362874714870191808,389339158002772060,21744817909772496,36231802466131360,154534133866980048,501839100018049552,2126006355452535514,505423502211120896,1173932784915966112,179198103006329386,255929642349041060,1488411794535618420,628967984720726916,265139506468928560,414807669090046884,1238331918788366976,341214611848106752,623559612791488716,1005349951083456132,1026212912271516256,706958368856643904,937448179218154740,1368960140525915020,645849579889455872,9580216083912240,143665129765910700,314092628602948204,2268369779593639232,2099137060331832704,154770217015971168,194394755647668674,141565465741281408,314506350113566720,862986583765775352,2153457347776329952,374139414542787112,797745573894209220,461361368819636740,1686629054489802312,736480333177296768,421344579091072496,550742473349083176,233595039303111990,654579996942370324,294516722707559184,572241795810890094,1893907042931487012,2211248117928684352,1227958065609887808,1148087272024153908,2530602482990436816,572432347136272056,305464439390153528,537514952855617002,973163956723199950,151967871401501120,2430836217287887360,498441048390164742,595141711358349330,209724180307308576,1397787230252676480,293863675274728902,46735041250731876,2102513925735821520,106224656827394464,961323814033581978,677753786767309716,873251745078729140,466202282634277380,562848824452214776,2158708013441727936,464077428808286208,1927565137803029088,211321090751631968,1862567668786192308,1146487117549943848,200700445886078320,368513691869890772,255702224275353590,150585835555709568,1693635301929314880,1777312143684774060,653947815318283884,973531535156237596,493336988142281952,1414890585954806610,1777689329549259336,1021093807659883056,1294845032915533736,1605586453269551220,726230728401516660,1124434883569008768,1758893159252742120,260213627975109102,941296417945364096,567321112874497632,1084723042727184896,1146269412208832576,198197457570103472,743039757411153240,805010902085241684,480402466425766668,49531558155944020,1485545075790057600,269831723778040984,177803648970644012,203116628310381870,850807482377763456,158759194670703344,98008990377230730,279949861525686600,707615226957970240,314681343638259328,4570002845948310,106604496988037300,1065755949158446000,2393570132576427312,735978311956387840,1728762567845975872,1666109549907166272,1865741007002268704,1090186692912166752,2120212179775514888,207095211427473884,1522101734072531456,89977500259512656,224882598435891320,452174377993671616,756151332823924128,16389629069605516,819258451315978600,148558555663632520,1055197765660440528,1406151595377188748,466282420454226102,304180329109396096,229981025010238088,567256057574356410,1779442713251325702,833250641628792576,842424548086758816,819158575154630802,1172209206298243890,1292975416826984896,230081553426312000,1844362725887029978,711169909383934980,529099749549845952,1859657972699520180,198366299529302352,581379048440867820,458546040980206752,230617963656649264,1100589474304534690,199792004967863152,2247044582429167320,32974049926024368,659300323345738080,1170070870561589066,1072777615797817080,260779132274402112,627195357308171780,94979128712167728,406941722239590720,348907989343123824,1864916171532706576,1458456699156529986,143183588624440000,289509587650270656,325754167837665654,209642838394337096,858436788434050768,2029225750005563312,923548460034190832,1587755106753077542,313507920562601544,471813330907473984,1768748350791816366,504186226277263452,1508275823110965432,266367076787630832,947237132455561794,119150340960166844,266175615756322928,585113255643451248,201723052737978888,672824854442133648,1573691847480016544,737243995894582176,2750893627247893296,2574576741026221794,727805253310326464,1177478764536639488,526616823437618862,1525409997496157430,191561822983111196,2462256304569432360,1389712751217668040,90828321403805244,1059370350349436160,570833924213909632,92156313514515698,2310533000881196,46197852244404320,577313059656358000,469836999225419924,1427237460743459638,1604721070008109568,1512898468979608224,299838603078235060,1922387869628308012,2680972118847570384,900891805649259536,1000135515901625478,1163161656975168876,521943179804558720,508053759094938784,48010855324127844,1222321755640914362,1754599703842571040,337954221586396968,257997551061593962,417346519958760804,1197256692381252608,185651387464826240,109679013539938496,822363273157611360,303703667489241888,2069329555358234988,862215501492785352,49142683441767076,1719513795160105280,201760277633452512,1344692858238082080,112541446710855074,853441211753489968,24834730699371376,186208406957358660,52817232268762288,1056049169271512320,634428027953172096,1174986727044817648,1785333260530573908,991136589386662784,207828178286784384,2077699560024266880,517695118944490128,1896268888490714640,2026640236132686272,169870659367471298,740134781702010120,310424339133973008,338797419705167968,846953417901387062,3161333489312544,19752784843552800,197472355096224000,556732812083577276,43494266612155996,1304461137590622960,426712054840428196,18019498305352992,180144280892256960,597552757948460672,273866682348405688,102414466785404984,767892152098639740,1045458739363862096,577294123719556768,1234944673779267346,1036009394262228920,912204883799660880,115591767994737216,770394339853451040,243661737747203304,127172920924123648,953527561059751680,696217456386518640,1347505230232275560,878484381861988608,1133094589262656280,165493259832423154,1393644680784565650,439786270019744820,566279420382099996,356211590188429856,2619986140660221396,1718257147984598592,410522687390158336,427357685509472284,124418571872804154,808160875858486724,513928622345695016,176995981314012588,2474395810696898730,355003667518334016,292769519052383352,717028658335377882,891401820386468,62380401060475120,178179071748238400,882059114097117012,1021293965073281576,836880339127195440,366001274958996640,124961409481121472,948258457216829616,2624206622103735732,941986766053513776,1625200346466138324,269673481980978894,14620387182227344,187922823878474640,834974410631890400,12757956423300228,573944260849796520,260732290478129904,274950642970112172,1681937899245327276,613037368073004784,282117247280970048,1055797363196130366,226781671153897530,1007630402061368800,589869250205582144,2313169721275828288,899645063558929192,175721745178497792,2212835849908868800,814541636830510064,781968008264410932,239671507684640976,45846761307502272,1375008614999588160,348473671534024470,808992153163680416,499672632325619584,677861813140307040,1222455602138892968,1081659892785911760,289967735135502216,1693984055301645498,675902131326878736,1693491203838592816,489990915175452288,185198188989273824,462862311209984080,505524454049597064,1378217671907633984,1757446134975548290,156652252120063332,478530253709294600,448918500727861248,320349253941970384,1057519512505561200,586325503220618464,581585915622473216,265007381265714454,31952363020071416,319431416076478720,423453100435918816,384431313549105444,325506660136948992,498595424012698712,742404834857934680,59832218380988970,996915313083238500,1658625516040105872,166282145658849408,2493510439811246640,137590314893182886,1235927843600278608,52885868028909488,132176370977048020,611519774741567872,408922188402730080,487138338135431520,590283247560440868,865283347339359984,1443292990453526772,139496992734758036,398447136984878680,728908972050562428,98084684560434528,960534072150647904,386735985381276564,932309151809312160,117927989062287096,91060195700557824,455168525910051840,251732085254433480,382197946631452672,561020475535577208,252844679388008832,919134923861847672,749602809530051860,47453634147104820,1657976518810614834,303289014433708968,843846321168520176,246302066605648736,1292242583399413464,2211077767355638592,624015622847925776,893223723804759520,743097021990528786,804655943809352580,810900426675234800,1575794456070939720,30784363317263984,1077137502309093680,466740677755806300,66480232178188668,86958265694969752,3107634485812246,155336205438559600,22010429305564992,1540278453500308620,180940177996045282,710711195133775248,1916839785376820232,672963920914469964,1028347556657047592,2396545388498993472,212991384395655864,402429523601964504,1140820458370751088,349929395118802512,214164485474219064,1665233957489206440,316440357643622528,432526574250641248,1363241687679890928,78600471365923150,1693405745527821312,859072896904567264,1277314159663343256,241327122576748844,534937599025793676,188529512903276256,1256492726597734080,706702125180189552,143997505284263508,239925001360587480,326743123623194928,691396328058821646,15698747813539436,156941088967654880,279240877941389760,505336816994511736,1201833053007987960,826426518232519232,152603822496434496,287861680560797538,722261026984010542,1405397755178361856,225457265046285760,331352398874131012,924679357701049160,252218022801930048,272950256780097516,92106836176905410,1104954090306129960,1201113598203756144,588364227654989184,1016236124744023536,265081311323944856,183374399790301448,576661582158261012,434177431713387024,777005588722649940,535757708452388800,1832814366288101136,148750825822681506,1484139922110476974,672401808089897340,631214428832925144,836608617467963494,245905703762927376,240443162156041520,1580649661045404672,2490832146474267408,1758641498448188592,1086436217648845060,962281760810478820,455104005249363008,122401110038860944,951724225069058560,1375530789445635264,97956962677680288,264649805714669844,1111027726970788284,1055793480552578040,467217367671163592,619766921114259384,1495601680554454336,1602701755127540928,719108448879020128,53690615829936458,765563347845845556,53566372262977428,714004102166277520,96649557604516916,122546181082535728,201104890232891616,972417720408754932,1507636203189537190,747775192944464688,184089606348811296,936374991942351672,471032662476256230,667655055025577440,1331672831113250400,556648121332707096,2160286297336884704,177681618144932996,286635659064624096,460198367594719432,30333720356545684,93505087526423808,1869537945958677120,394446583111911904,1175758743480384464,572759202951598880,156837624950141184,1368690821515482800,34673373099856112,134868877829732592,579601223921687360,341989982248384704,296833516899241228,89433131300838780,404197242709856316,99365348012012360,397341096151808480,72931811784452256,344452973758392608,51636906811738756,258106304484103180,229918422361916004,209966334927121968,764653744507998170,1252770955757749350,2320204676397880,69585014319100800,1159398147455135000,389422726693819904,1266640965466269372,79336609672627440,594843725219867100,82852295393549756,684825164420996960,2087112652312098432,920643226782566352,213918160873847140,1056109875981882148,996194493125150240,552821201434645936,2477795353606078416,1846618234938935976,1196129753816400768,113069050752750190,25373021542991724,2029222358348027520,153247999644789804,704041288091126742,555358565315050224,26591175508280880,443050838610478000,412099632963485362,112188038584683984,295083476532884436,628438781508531952,1746323034645900690,118282104491659146,656921615545576400,852751210271020032,825487702047641368,555294703135505848,55035278831889200,137546012986291000,12798935306051370,18278584246947300,1279108273287936000,1262809097429688144,788146144394000820,409409002866966460,382382082880827876,1424050004141019712,1085658041870887136,2088961426035736448,731013921164398040,651010450000259440,435341938938863912,1069517066667862904,635417182953491268,815024371025325136,371621734566141906,291035044357199768,534587573896014240,429479845243936272,678657346630842656,235525198474604944,172213990962560288,473092165192567956,1280307270032307660,676297320306356622,222033961121798064,1756338547562178048,314287917132596498,176644423683602234,666030713367902960,1461149481652310304,1812441593786309696,1133090248442895824,456252519723024640,26750301316507584,2139361038483874560,2066747662298325006,496559690660265824,311167480957476672,1193925066265905540,727461562960279056,95729380905939768,143933767435776336,505240717154601540,29248433656436806,194624991418067244,1945644982581117240,1601728061492313804,702218182189314498,1412355976238009088,1285286059278358704,458000907316249740,668215276014519192,263714826769525248,476238017730000736,552581252430552720,101787178833208736,254388603020578880,812152876166256352,733453577933118732,18525913542613614,246935072397866720,706220130427447896,983744725784899152,144262495437377352,91457890990519616,107288457866488808,265796895115324186,237638032979345306,451286936203410192,106408040393088368,2064035555774651984,1464884665601129262,133307134120559872,1166071933982919040,279138948685158380,65346055129778556,217751873007473840,32897799728140032,548699674661388198,369134265529326360,810227302383875968,151341032843944104,1400607843345402800,290566911000894704,807518614526725780,755614424016742536,225606902996828076,978676439960723166,112840960010122848,1316063443433204480,22408934245066924,560046896759959700,369717345998378112,2352187906954967988,1281912298518170604,28111998368642916,281031307289416320,810215332263144624,18799302404035230,563801014947980700,81665948344619860,1142962100584242680,295553343098861792,207036936056773364,237690196653135928,2008347144462143744,717905284905149868,805494285024613656,90805701061751640,1361654224656805800,372758036217541260,50824151131337878,653246280025103520,1174001351681549664,814990908452548016,2016191721631711662,243579716270065392,317983840854385472,10691730328755460,42753339804043120,1282192758491625600,197613007220600064,658500652695756960,569075366304837392,102901670285911340,822951472399450720,1676849127503086992,1493186010431903148,572485316021146240,720943811009283712,441114544962283192,437569627935271212,1335980727288714984,358908434197773768,572686324181552576,347005719116432910,625080802711880928,757855031693098416,1276650330507190064,130270218829768472,1674367611373830240,150598569241856708,215072025945547780,302771259431926896,242094973910898416,59669453321898664,288458614063106816,786778642703795952,396392738453284092,67037508670685400,223386746043693000,347384772299820640,1198157001856681776,990241618355990784,213125500701104180,97649288727593220,1171415247453528480,614172615489506140,366404477105506616,7423043310411804,37103286094758720,329934760172973816,504209571669026604,115553104282472172,621847600490535980,1808067345406247016,1477655376556118992,117258966612636290,1641096582669187280,10339843323185792,64603185761677700,1162482322500862200,1004725701680374464,514946334493394604,1411804578434101344,57612657112405416,575940492551790720,1627312571167312008,500975445032531664,169242973567334814,1222525200293123904,369816725667175080,97815218196085208,1002837029360802830,1535888888418364736,427151675685460608,225275575781583796,188892255810098442,448386982396609856,86259454632061424,86807980396658338,370171913278207144,750629293739556160,1047589499273644600,29164198489132188,133857229531491544,612282028825761056,747819954495279744,1542963205675901502,836804300873702080,508328413309607744,1440529103879436288,413182497116779730,107719023529235132,47526207226013984,1900428909463932160,361898331762646308,532882148393297808,584342253910144080,422000470920055632,610414092586679850,1547711060650921504,274807516598556776,816478158414975300,412294869529526634,734690329669002480,894573996442127856,1255658862729747840,257055088598140296,1377712529686396528,185654456210190496,387682467836142024,671434413350747440,446253757890965150,881949017318108544,1186209407708119520,144564885824720836,211786391175561768,223906734989726208,1413870302037091152,118669947868946188,747218327532787656,455176902068529144,701217800508158720,1023238539263267600,39813746661785040,49750815439248600,971127398552654416,683549118529612090,568036695102078420,1100892809508321888,436993232442480832,339965987873688792,247110940615430684,1315453999777839024,481681000014630864,657769898785511456,364596641570183412,200356060574322048,1685439665019682656,377136448883583282,1458877433048854248,452708148747658188,1212079217621804700,290216118842377908,741302192502522680,491060179462454784,119000266937322384,89196731289349544,534046760298407272,285971549478327440,838346890029950976,75421367019868912,1744352718635632028,1763143356786736832,370912332756601536,623056793604556178,935443326758619994,532496557848669540,38464585000037664,336453265696948260,457544600807301124,133660030686553056,1336155693648528480,428941123352630736,1063574084518486784,362701631333179100,222735203091140208,652721046030895008,1166514853282747696,1120849318023437072,858677062930265088,1409681210552911114,7469569503266196,149341526415080160,1472225113651659312,1788736658827005342,1405119125196180828,442241111199217440,534237766976669472,676167803055261680,474009701509960630,593484296127508596,685494816233985972,144405350698502376,555927111282032230,225976362133466336,656721178387850880,460051679980140430,1107760141121905544,345004011682261984,916841917312853728,1342636234186397724,1722895808177900230,1099326676813545520,1034751260950466640,235535092933178328,232459202008948092,277364143755493704,431022431817304620,1163976425340141180,1605811490593681232,60922432449396336,406012755927896320,399930816864072672,980917755152607230,1353117664284161784,47264646680491832,236243513517982580,529358887194087496,424347711473281600,211622204785224272,611619480060356124,184616844211584644,343716231041314476,1408866612038730936,739714496107847148,241602046624074906,256901901206517984,593239046074893568,17227839914073324,95677803317642600,765163085328841600,373106511449698488,698895155874201910,496514533596660450,1060888431051614592,353451573740359744,195552932033580862,232669395986814342,674423474354542584,420641431263483144,1036650785094144180,58462919489335312,511376563926742640,956944887312987648,182560724307298098,107469394856425238,93224272558214168,981740203374786140,15526043803309984,77603757914556640,1357602705304966400,1123818201369024920,351181991487223792,388273130944336452,1142249544347053420,747023772095180244,96421373695539806,1384880085765619068,108883569832849864,670222523514844608,841379602850017056,545115736722803370,108855195028420932,225511993619302768,152084608076082848,58192363078813084,283541009153472672,1071237136186117640,388467224164729656,952746721321078376,766433639611304464,213112314179503804,1670018403807883692,307587192108753004,159568392704492864,552052489154806016,1838591036670409056,906141654641667312,36064674543803024,944022951793706656,419754706058756712,318456885628066832,690600300360282880,509386514254953720,23879671024769586,159142916014324680,116056525798762860,696098905449290280,287225399286566988,1363237262063525940,581182072499895216,4459796250115776,44582550671977680,1337014176363338400,168531704634191724,712886119534054512,205557846656097558,405842019241166144,505182558211309440,186453885599572352,900824941674114056,681040182281046224,129204811554379708,178033530880377320,842795989644331030,12792906555532490,127884656803445200,77487922754494080,774610065290991300,651512909389367592,377240709949759968,231143143202255760,588751834744930512,66546608438760552,1108724130808070400,305182466802256680,393864407218699752,925443718942356400,1794063079505833416,79253434852996976,149925083845991764,161593513197657530,504855478401143856,1121285461282236432,206453353659600280,347311343666809872,1030180027987205564,120249677789537088,649043263303178584,767812719309747328,38232038623737216,254791058584933120,332081963021468520,695226151196593668,206580325526867048,1298386538267185536,1566629807070191136,336921098364269808,516859020301474272,594348020556513664,546874579739040696,530920974012867696,702579934311002500,1750101708298246240,423858120622208464,222433689609300672,82027406837912704,328331026974217224,1322963223641349876,296149282470322632,40427730815313296,606202345475254320,1156662872247661632,720943539401027670,253502163638583024,953172980291315504,903546269288071350,308715336508645724,382345458551888928,473993499610212900,41368968520600644,413543478418000920,1789864576489678208,935314047196109632,454013135263866696,1360231299798176214,99249285864304992,462769030039898736,262865873013834312,1420583543159156614,298479712638330144,662278562185583616,246524376676809996,411462807373619470,118400323119452864,77081842550048700,660466841761413000,1303971157981048192,1342791099847671936,906919333890968216,124649373161526030,531844554472277270,230855605133129392,764663780055848624,784645942608873640,1166511955087003588,153325305342510120,657238172596722864,29709537291310058,190923298771585206,678615380834651392,445623590365014628,340361619632236384,490654690560338234,5666598567607728,169937195299991280,1510012755834548800,25383057885553568,190267098133165884,211332223179444920,62019890931753858,1653271438914436640,1869488715084433632,657009658270946304,501757112564521890,150178448638328552,219294918731490224,674727423568740096,147806759513602098,437183416876725960,1075514113038016512,1027566304285086384,551754599531095212,1351253625304248708,1019244457977304728,638730437069553504,733762491656612922,742705689950489544,413624955650376600,940788015528700752,568975703126875170,252118266143731780,257109120314302032,1384895544002432812,939587282199163332,950115187489082450,114787604448070592,340078444375518576,851102057643021056,284064824096129990,324156377982742704,803594885638065040,911960639375104144,1483285216190901158,51781768908761528,351539072686891008,253624448235833768,846255359155271450,124289531516459160,1139931352028982688,72457420027405374,12415945242456742,744686206343103360,289256619192119640,292511010267746088,269677652654290212,638348014358731548,140706369650553288,35917581191692956,179522538951226260,141645119191824208,327584340474773984,46376928398581488,927200499673930560,94386107040083300,1320923545904817400,192461955060218808,185924176378032612,150807540107859712,149356647963076632,256745056147753728,1025253838427228410,803696518207598848,859366614468533616,414601918168822632,25794583534667472,128925700766191680,1716059860201597248,734584780610154944,88968994397536064,667022837072804160,1436319740862925296,91954750537751178,131315721652677540,1269002163377990720,7909980327709296,105427660648583840,187218755341975030,1335189696414193764,383473088645761296,595508058732751640,268090248464278304,423784470266396080,176743550038004768,414102700597851892,373280522487659154,946612212187937260,363777726999368672,69201529351914752,605289945536144960,758140585805098048,765822932769236608,173386340961430272,385026663258888756,319732756086022200,184380266755011796,194263873465492610,1148118010794186642,347864798649085160,22868905543631936,17945469847202296,403623458705224980,1201470099411336,28023907370737040,240115822904882400,881708832462942770,1381974304039633248,1111333446218741088,191714868917148264,1728637220175805836,267386132480840224,220410529883151020,975956097323297170,1335019284825819744,752249026101065528,731004848332038784,44515297424500696,1333683632609338596,873464399117857456,719929688011527152,175437558734694228,194857887719666360,1017118651841630208,1112843832525188416,404476511130674024,667613637579271740,8913860471355336,59403516831681120,375564925315345430,771455297933957034,383938251735622864,586464416932003584,136842493924717476,118922097909581748,1049776827829057752,801934427655214672,125254629791959842,417358773006703620,64891442552010496,1862183505937725936,162271174618086932,148906562297528486,1317718349122701568,821490687027363616,289226737566178776,123291665436232884,130952446489765880,1663568059896231040,779757479088772912,282374623349545524,244084129682277504,510628978531917912,814190748313818810,628118539899644654,165848644422198432,184206687793532960,85606292558217536,790305807820209512,6375327817744820,25491668192502160,764460760397703600,178339358995199610,61868462655178016,180670117992628992,166677651736911528,117933074244539228,1369431988298264016,1467643571463645352,1166025826787403726,1015647103426897950,65735523162699936,21826095685754184,48484009309075560,121334487503703230,172190175716723164,251974696870150596,372318240180470892,924176801955417360,745342528684497856,1747033852216571712,802251848792599168,96568395391969676,144083605551627216,410681237042412648,152879181487320988,2498196540162468,24972427510866240,748886695508577600,981472820433385980,1062167088173375646,675319932307911100,588582649915274448,1031854838810975856,128098669298456340,1245641634475921344,387403921594407648,1260463400146051140,776594487574541570,325353684010673696,571889347996967316,1610806678842470148,126346208547679312,1000864390182840960,364711683202809264,1236444982542664888,127190241758874336,1667823948434821216,880712632040666424,1234273784040745672,293620888639859872,817207001669603296,216039418885346336,33800370562350420,281561166754718500,1068619775084801472,47773208115032904,48551277349175524,451956184373693536,1088494834523264256,74594151352985712,928370466039433518,524361652260119364,140740625096615232,1240171678414044684,660943714263328384,88827797161173256,33253168521282528,831708106436318272,600854360070175950,268267342323639620,364693393014402144,1629665743942044936,627894677923146288,1549776160859041472,174568606917214752,387779485848245920,112812446581747490,51110266753281064,638629791157737800,4792939524989408,59888419535886200,1077571720314550800,135106676043914680,230886697296801408,796689325409386836,109425563308595888,245769785805762768,674837705983882000,1831418688392150598,1025732333258919024,69372264841605504,346725741309514560,586255929344514780,916782931471653708,328486457597247936,995886530895198220,451537089801615490,291510745220204020,1285994740401406336,781736958320316864,260719794637075928,807685351381345710,419700559422350076,134803317569098816,253052257259289516,11239920494286848,28088756680130560,561554247831961600,995158903744663252,802122833879832460,133409584999134468,73891365227040432,981279985244064282,122927471592884130,1599186256164833856,446611770107248704,615813965147507310,55616674922474518,960483092122035664,347601010367556456,897606883897890480,303868683266422040,925824253934507536,205072644694084608,510213078776621574,298202537950531456,117915424696364176,430241288131738980,155868864823702344,153660796673089566,857236302183251232,118935461131522048,1182652744577036560,104181155974325710,2112077279579868,11729100853534200,187591026488577600,106394511808750184,465329692753288448,1329339407232054272,2484032509078848,31038042391336800,124102714873593600,1850977799920739448,1526851247721775664,217904670780083230,150704333184664448,74119240144558224,329287329351149840,202473775653635866,163425137298006556,1309827039986842188,68501219891034924,570615169852700700,217625930115183520,393025077812134040,1339071613045058736,309758442857499454,241690741048947456,768105813783896416,953129081308137692,252366905104249544,80821368500420208,509181789959509248,175710352431136194,780621121755196080,102160409595619908,1599361069484734912,151275820206411614,76077651608734394,871552027255258752,68344490060819616,683169566138857680,205959985122271224,504251154130538332,318286102718553396,112950994529623110,1031153188751578356,495692451196722528,51065954044205568,510453189618956160,270100356858358464,266818517794727752,547851620077540480,605497039140489840,1160551494738740496,71567539989681552,208769626943840496,432672073232902218,120001183929067658,1028164355136016080,775965807208134864,244088317831332520,326540735624791248,14655745209896192,146497890714275840,1305374652093702736,49937791864558728,582370526513899760,20913645495170288,45201933860503098,64547887766374020,227576094949896768,353585118774612592,894565561392087336,300261592237076392,576205313098660784,232302441430835388,504671924950146234,1097704981131330208,465383673695546424,555364042362734656,1069318924776804576,1523692007617972752,565517721700884512,2126686625165136,21258153390460080,22606327993423412,903882368808090880,621291032746879800,254866690380351168,489253564965355386,23945016444039288,231932788989620136,928909673652464210,313638896316804756,608093477336525120,80927823157942656,134824189330843160,292955550078652904,190023541946039604,132164389077067984,912244637123232462,310317985919489688,140082462070673920,1353194013899380536,950023783436979546,516931841833722450,876063195818308960,625546936507731584,336318595583687396,523206327347178216,525919091297369728,615441929977552192,290429167477391748,534313995480039222,587509359630597072,1014574675378431384,607058992283577288,18582355824324170,1485971331900435200,427220505228399888,1051402536502842762,1413001470531745680,541181684622226008,103331702852612780,68814364259723856,171964296660182520,136440497012654848,532398739636490496,96377507803658836,346237904766083616,602472292409090432,990086847666002016,212774823821610528,274493945641906696,566960610419708736,346368486892102392,1353159287882722160,924050824726813728,511410295317214020,390210848752914408,841502183402574932,177544763322202528,202763559121279936,398566442685785808,1235404272230050048,970798532448118640,1402519989887221792,183768684284175816,437582318045000436,282499286515199172,328542024414883456,95012143648400160,759777355062970560,1245290466958026174,72722960309019020,1017692582083016840,515147620756887132,385945603037948340,186041487373119672,830387987845503744,374980014464867220,239518188475187748,74701025250339712,186673646908794560,771254407961474840,539003799753152706,45274899396064704,254759837384932096,428606264163077936,1175942251271954432,329993384905087356,1160906203755674100,626080880862112760,439959211133787820,104115096428307328,71833124152804720,1232528268797946162,68100802529853470,136143704236469480,26946282892472496,202011139022181660,93239891408634438,1114440620613994016,232230169094652960,156387088384211368,29380571052746832,195786939078353280,87475234573920360,145729830345648700,216630156734148588,239969063419212400,222909886413889280,487014956013313312,221386878933136294,123920047985468332,257682200849488848,451923083712954120,949198611919674536,36717606886901664,244679101940118880,290251130170472464,451227755843759334,1300580026149238752,186514173468709424,1332914747790213504,944815202449301456,63506325233177712,952185155710894560,613370239125603420,602595010929297690,386300797605081872,22539340267502520,225296261085251400,691006850467727080,93384599589898624,933443028923131520,71662769064377868,436075914633483078,623065194110169888,784945178116681500,222982917270336808,986864945059631820,623965872767833680,975890792779183296,675659526821343650,207889504154828118,123924964668563028,237361030248460608,897147643882608804,846321136792893970,177898799890316288,302781787430943776,557708119576216,19511298932627320,111444650780291200,448251608171916780,846488475687393624,268409488294470882,419803355603934288,712397741782232016,224947881506054904,372805281767856732,168829864367213868,1274704767050215144,636537651768294790,866456751301375776,127910676793225872,1211390837542599936,11401995073305472,569850292981356800,54227827439567264,406530593536756080,169625352761134536,294933342217146528,934259060501948032,88263012951073792,602031149899907868,860261597228967888,280207116868357880,831090479531418756,175884177133023044,233202247781028342,244097466783599104,592240069163125320,586928122103940048,370917231807320232,908559579972980920,1123352229366953824,402675325135341752,608082913109215600,127276755989570432,1272205519302853120,309453609279074208,307394247817021770,480068128558192300,223589070949971860,802798025719378236,357079809579306786,155785015189292928,74301027654507672,6320523236658132,126354409306310640,102071733787238128,350844267916847220,881589489863454036,175531866218118722,741440559213762752,31899205645630560,70855596993648600,678862640806224568,112492938171937812,25313658619699968,506047630875025920,640387845593542896,384904045588677888,626387258200556776,636475877271063376,722967420043626096,102411368714944744,528681377362329900,836283584007043980,764706431310864294,1402080799930395200,410060117765748544,544114499893608950,1033700490263741580,674783337667578876,35426052347790416,531152447718974280,1123585223301418122,607117001320674304,225264219402523392,15355586632739766,1381381628581969380,150704687490123872,216896491835598096,234793840003462264,80797706000387572,238537824393106368,267981444855964672,1070752980365909022,298898929183453552,181097881281281952,156112083488113312,121670706727392498,540514395536609840,729830684472488928,512450243138245728,902142309511902032,101653341103441770,155215644082935212,203386143005101780,269004087688838304,259640831863868364,1280024923038057792,157187667023286832,1140940398971981772,27067423958875118,193250908948837400,154320386577706704,461175806765675316,334042620549926148,818106565011278368,795067153365170736,1307463662022075264,30568424909784348,152772448854618840,718798292345641088,1046079074822360,10456015837046800,78384307817868000,654738126804194048,505494285412157340,688493410897138980,290091808410573568,8931330767217744,803451745967070960,708018226487719712,1444706074908641664,1226279534660102832,1006515037953122838,64537531710610196,460770761551314800,29438171570638220,579961854432022210,361430346715323424,38127611137386120,1016268561229510400,194131131055587824,64707726976936362,680949608055616728,341546599060346880,1049875250205603822,552970397497500164,159707457457115136,532540999222365504,2409584115396510,56197651258251300,80245248273678000,751840673400247424,218595680590088280,78258419345568690,1251554892464983680,750685140276892160,526486556370193536,854674791535734520,240976352682685928,584406438311066368,250157671131821360,886020964362798264,201057862453993344,567013614276456032,9188694152621036,91844185769296520,117087853244875380,348127298166419568,318252232864265868,21113744165493516,93795102482939520,471925539722406016,127428353121728036,222344838215659996,422466269523413024,156120972758425304,481958223718693128,826414878203448192,1267694305749957760,67683234999146928,789267870163058020,238747027608426516,390004609057988736,820215565012993760,1072191979665109870,548198153524284528,602928414038520416,569939445126018240,762922886871715488,501797055878970180,984230944777787112,138383389298770704,461060741244631440,442343317534127184,257219963799372288,653205831044514944,433012514422858188,84921890086880652,219522424245223992,351095438542853952,460873546542896214,417844372499050518,84138740996155632,560659487682698880,70553693758117010,73904161290906580,147738279417034480,388588935970145792,327633149985549930,115844764882845024,124718521619030304,748665398984225352,110448076530508128,120414374377214060,137689616349153624,8729992665695304,29086123440681240,872168150035047600,998121976097787720,79732514958346752,334289414556553368,343937324109650768,30209682200136660,67100569432390800,657163309961683448,310179649819808778,8108411770156672,324181309996816640,508665958711397536,76555159998133554,580579636207798472,441252112537485984,748672307260941616,376982341202601568,391599733702617072,113638001160746608,923274976720303936,534418846490166224,292106836541037784,607360812796532496,1141430407120880730,514352016592209990,96533398405491264,321622931406646080,330345611773136712,253827714931958412,337339668368611456,997527643476333984,419795322297781482,93148158089166152,638310864012838640,752712752762592512,772952317296905200,856201768463998110,169413992547441296,258879890568345264,182987652477599550,174330801667923030,107515058475737088,238806367598740480,50050425320957034,833768433006689700,1086459658171140708,162191110196290896,348571858410065120,77996501545419288,368968054698749408,252841576583427120,35788171681018610,51101025556650100,79936508546175708,621424903425714920,465010114962476070,45843977577883254,610954235896301440,172732345338373352,479020093511927172,655451601103610220,1150262315846708896,209316810335058192,377697169281392352,695501258736928220,299072368213879840,396625836000765952,641312187066706680,323634600996988158,658654693391657856,159293407269839024,99739855233409574,12285216364710560,171908324421370880,159767623431123344,682283984515007820,202864420465742840,224584076495931432,87235922911558496,276457896623015940,651789440135412360,1330957052901114408,1110935662579774752,410679413793270024,37616028980704272,372899538218954816,1093560879201992896,50132848719823896,69947146696280238,155360974562185920,238656127254933248,86699085883865084,735425540979467408,65917438077977704,21425187580268416,244737441290961920,851917293151220556,438165208034373184,452585511524613376,1347015136321868868,24824100215221294,593191964446957092,274723008413410620,1135064282869985232,226151167192826072,1367060062206996864,308924871524363184,103836034490260264,483278159914304370,304915029962521160,420271031688066748,674440071661229268,148633248106178752,48031890885975152,310894713698683968,1023294020774195872,1003869361180147294,820880587378949136,500736496479642864,538782562424809024,180846442485551528,771819731776211328,155973840103311880,314158255772106858,388333527546555560,261203352157271328,117301496067718144,1318975060658797440,71114977644755930,142158022170369680,1194973948304462592,198213637770704640,223593064289010852,814941027801831168,486463441490291448,292155536661647490,409797553615015272,61332390594865152,923553254533169064,218840484396113736,309100452691813244,847832619593833944,451718410499570020,516102052602089250,579675988962993216,510434544815857344,414050164032428160,76845187077268932,64942060486254328,11239345885207728,337008105481986720,53829208883413334,384297713313954700,789936288720900096,43445996344162496,116290243222086852,400492361100911696,167487245848712132,562908791530878268,63023267675833980,944863659648179100,295200004285678128,264590157853584896,27847368602107896,1113321734293235520,125663178359858048,149441141291341932,573404722340282064,84727348956895876,57669839329933440,928306027567359432,679166544715164288,60574465881757030,132908784260244412,482937883284554152,361051813255295904,518606193036795352,307109543928445568,208461085961772384,465036070996255136,72483966448145968,388153952526596416,29231943549312952,730419118575382100,303423837690767628,107554580048221584,408872550789265248,141330717679350004,41952257323184362,239602334782653920,260645281088749736,108417172161283336,591363010218956528,115299903366827536,556290381852038016,1355645402305911162,104767019916052914,455193468258339648,98159892132946136,219319309285743654,264751886725289418,423605442765612160,1020604963775478016,69121818512881344,177294595527687820,222984682915273960,408275227187095896,366838764629732808,139540133554701198,20812189393101168,104006181172511520,263724133805191444,67883135755807604,122929286847332992,607238595351001264,913427471371586038,577135528099305824,631985633160580608,259359276614478368,395983446192098736,404026851159006696,282956173128132784,161749652232616940,115151227513485576,55285055462866810,442045912508971840,225148533406180384,45728521362691872,1371127071911929920,1168850700357629344,760137887814508476,561446926918625790,228630205780414260,604768013701464064,581518462375571072,80853214800208354,138575663972336310,14312592063517188,381465391778080960,40326556796263972,346278816022486802,38493503930083768,242823049740422592,349391806505728350,131008262520510378,532639387226890048,946666451467457024,244569846224138228,65652700996372872,546812158630740800,137320537172420128,163166983280067008,316606690637700372,446363369123351112,772849663313468328,242067544058571684,316055430617204460,148900342777597072,708626514068183680,61876062921796018,33403415912544648,82884491286992180,123285417633192416,30687774939244752,76677935925683640,332528766096686848,162305962097078800,494220453133060080,164840152587407244,100069036170700116,102434477039778576,42187714003908972,490941074328911536,158423081240718560,144688516702540032,126198268931554184,34122028935116784,150268889377511324,393503048740977864,299648042637742140,14971129852204736,224444392186851840,612650900803473792,203223223382893650,385991915278015410,29558781350329940,147106704360323796,1088945016471966864,189160199337477522,244009956989196784,283392563920126464,174658685938019556,691897070360485730,266374659913010780,536682346122018936,16893720846609152,590955000522315520,746377118139089920,102750064567913784,286701708894289104,324220038697532682,197527769219382336,629827288378713072,781652459082286232,792204924760427646,583425864125994400,824976077283126624,218670921756214552,533871317637222110,335880134638359072,126875175337272112,488640787065629440,795889757786146016,587718370330004320,12822692620218432,512622738492896640,170655035749273032,393372722323150908,723682501534910760,1222119855363722742,47116633392055734,103403468916950904,429528044090335232,100661343694915342,269279914113612784,117781002221127132,408951626680791488,54913082757694672,137205903814111160,425307412331999232,148299525359395176,180157268564158614,152895426358247356,147588568708017528,92448274880134680,67556373964728222,771639051512995680,395686541840434368,620307927747148320,351074410749949664,108532589166074528,1084714452314679680,550354500032033412,36383009250209076,305593599834875056,367136799092086400,141543297525831640,1116453124297639856,420709194839541704,389786003708434272,460611810343874784,13023942472570576,97624210785420840,118387369921632624,217591497672777088,88290086920932222,53114718268942512,982907114119665056,528656922569362032,235895198604403068,837483244435870942,289213451808032640,85330853985321792,284274014899450080,95087902868439572,98870955824271896,685829126277349880,856216680272244342,604807903302897504,146964361309216776,108472832971873680,75396753994653686,93634572152865060,264699547320056472,156312519482947284,259842572347532048,127732762045123776,24440611106246544,135703121435019600,260947257966618004,188629662491381170,95813119718002752,915026463641349696,136527655415040904,109111092896254884,994953842107358784,1091685994309602432,182511811839013232,143493429664486888,120538522267767660,96638259544622868,338656180298086656,19522266483922230,78043804254867840,665217771031199904,790134071785750692,123058618503192708,518951208621086712,173941148682559584,485990032843323918,244895339087294676,335418300318636624,42698193653803072,548656803944005680,162767687821400424,504919264408166192,85512951639251304,15717585505982568,274896980010814980,694717565852837184,51056517444785888,191421774612266636,255846309464275504,253908899281198532,433148535314861520,231724113728382936,220838607480753464,11692009713241536,38950458226378240,456801292618515536,20838966315095124,496238660060027612,44041453313132760,580045132218208678,10698945220344304,481168430322877440,493610345614208992,6425438851245190,12843281529311060,513427421755451200,105963796025629048,359416924186563474,632769319362762936,495786371188639240,73435697557240928,472373690586987560,1144928337489055764,326596578105052556,291442469913909860,77721790996012616,816905527049386964,722272809398599872,1112974675630409880,108774920772384202,59355467875378566,186898377082096428,568470081182392648,676267921999320950,270009570205192972,399737048242394184,581962865386517120,334554182406570672,240091943852282508,922752911722447708,735504770871411716,969419243081740878,1169915857344612,10393002362874880,77900646112867200,519025171090384000,177585132875911228,577848401946230912,144509605707957784,651053858017214646,267342489803188150,531647118138847072,872839003318443728,389368069447469382,31646691637455622,147865538809678032,461744211343841340,614691079986070680,205648052028228726,163586842562951808,6300653407423984,314841358449658600,487947254012853320,408359380267910916,110317068809122584,123052422970670808,361790300585172130,302608408629266200,300306554601947392,707987473884543440,363028119336090368,455254739540440544,563392505743909296,72729490279195512,242283287640272880,214020532216625472,846868116058514368,33691348380012384,252530127984314160,155778948977835672,895992324670534364,580022379555074124,140783569568005566,451783007856869136,483787808583837200,148482638953555062,406685484315182392,299196287273573676,404581561442374420,96743652028639616,222088430056161844,325388913409174240,1155234440828828736,871923200969618704,92978637248587384,221459957401695468,694698941852981280,436168480221773880,183357372700500024,59817680522270712,464959520521489280,14928673914506730,136481509783575502,65236446543252172,4282971425122460,128409060612099900,79285158928828396,16599846967191616,414737058414198800,270838123563251620,100540036056932032,1100006425520956044,430230316766860428,98995850758753148,705949695549389104,330004291263812256,353966710126378240,130121573873057220,73570651509438090,326775157111976800,375703723742863936,763610886778729482,317718230946771424,25786582936543712,16756245848686032,55818919328653320,116372558888803612,637026219739116936,138739559192613080,55672744811323570,186515241674705872,671401212715987904,225205357554215808,799651315718517710,124723424493199932,928294489471427172,106141330127866936,197298060100413168,239349144051059324,166768731093366528,196089708706226752,661586369897781588,631349620579749596,66550445763000976,279738973757620188,186229774667566494,80643836945491526,49531144708234336,702244234854960096,219132242890082436,793378628895744528,3949576446807696,9867608863438440,887514909021682200,427956122372511512,460892211613969632,250372699246252480,248987118499239008,485416399597921312,260642130266923188,118145135333106112,168786010006034682,377003578005253224,32462883971635520,162209550099251200,188519776429180836,389578606606862112,159683550325954200,155004321850918416,191295697791630936,737075345742658062,355435887470095488,766478422981581312,627844040236183778,87352772623871874,130112155206008592,311214931649535940,26536496918380470,340961161958682300,73278696944231208,325470563744327040,73198910904316596,691751483193943140,262179029971799688,472019040463846204,470889703063892560,675784405688711228,734209836587051664,396603061634453856,424551595236623010,310849704767061618,498020200606481112,63239557594868704,141342724135706730,159016524968864908,491042310070436096,5637807722575680,28170444575730900,263262722066653148,40874100099637168,816941746095750080,187186946805911392,411039580690144952,218008067810210304,235091773912658944,508878993102467240,93198185160598336,713942506706687356,100090277869528272,142589089957031424,298708740517488016,62483553941674128,832559230403920640,148062337559268272,31640724802405288,225073791314162232,80140602387910008,65268453769137930,20210808744569164,100986442172081440,334058369939522592,816188905703671626,680021067172401552,39456615322420016,394301349651175520,26845502935900296,57748286735086184,49307769679866992,29177724996100096,105326476289878056,121910973746620520,15185828635357656,252926400991123600,231711242157091904,205322584586451472,37055881939356928,54487540775896672,51935083165294938,162795614330443686,609013609456118904,750195714503200860,24734085050588914,176552071016212100,348599544662663472,193885721722054432,93595389837849744,347215051323051978,189003350626042648,7465071741290688,9324974295154920,93186090719487600,966638258394722928,44505081767915832,30721093688647582,144212247983910496,98198104666269552,92529871308962552,774999000734302666,209006815744831832,107955460009361952,429285535298231808,27356503913771192,119307276891247956,163970228103756024,16710640151664408,194823064261779380,406460307712548348,204210843135326976,359111254374457024,751236336281687382,105028244659111070,562985539612558296,67628077963585496,868901217215424840,190321902512372160,99311634135236088,795619960642318336,621462492228011472,337339845483675210,423752006730393180,197086723029803620,336489947420826626,156649684136738272,241679917032227856,918611715207194112,677217412082844108,658259702742704118,21360986154088168,592480002891327912,487960496762173204,64961684388313804,741898422757223680,69506807996633088,1451466853322122,14504465383959740,92374500262233996,318226844585324608,555320936638538980,762015115269113922,394225241212840704,112308582660035664,198542395843359348,517463541313535760,25239651032971416,38042727148436892,13371584729099362,20353717140573726,270617365912476408,438683076072805696,472148534089454196,217357323165258224,70222148433231844,75027831792710208,147026905332774024,117723963483255528,751700014857955728,47377152623385112,119489187912062220,14200535480346404,237444646742520672,578460579219750272,451639941012894564,160599834107204832,174681631420119616,270088008341151264,45723391561038688,399792198218200760,51267101167963920,149174685316391868,216840094031142376,578097870350968728,509068116660280576,178916478657925008,242771168278383180,570156924232805296,232746000597748960,173774827173680512,212566376370867612,460471326085975386,312754678517190840,375390108126230144,54137813657839368,348172267148532764,223365394539773952,6926019179144980,415258559694755400,281330613123630084,739285534081321216,177083231555981184,12499585326990944,249809032601664640,649067779397992584,399737218611764864,490636555580641344,197332153074633390,2580448321407104,25785547165521920,157279801446512208,611536952781175694,7926587908283448,61605869230800720,527661431194600800,43059526140790640,86055540527183360,896756420166104952,94391554322996790,80192482369128226,213677369991681260,204332779615459352,47012889130511306,223556038331389848,433501382774544552,296587167454037184,124772162149546016,168699383902396060,621351441740599388,25791425702237768,127752977808301356,824477337835461168,63151093977244656,849579950898655560,682297615156349024,612351134645255772,168094284644045964,223709709970639620,241676399894723808,146707732655727588,92385595679790336,566081189020873344,89905483407324312,323161041778471232,284203351028376192,143551138873915632,79497982769167692,235716628290003846,295738338404300288,208054479861836816,171592900145145388,61395440592492216,715737978604795440,491277966307221156,269696040080747904,161359278428355504,779741711292981384,157396864887933664,56131719881369776,279826182682274288,238168108379370316,222560104428866484,296741527088972224,55872606086178206,34081242142833360,210091514107790784,212187074204826976,56362526537860400,281596796840876000,307176398260247264,331302327936571818,384878430650483182,141951653711942200,528078686318389248,178640716561960394,188318818681434048,219620086088183872,118462957808347920,353938437800128096,385185455075097376,224209662027580320,76849795488752448,575927403023493720,29240332525645878,599854258354049104,154888531534840640,2045665164463382,20440760455932740,29178385234477600,171748762527261504,107957733538776744,103070875334705572,1947383414599340,155669102997553600,735948136903157488,200658956386087816,327932108390891072,12662027561022336,15815136717252360,167960310645979338,148876881403643820,265033703262465384,410086426915322352,435704179065081192,84716818091309712,197615778983773280,271437415540574478,743004480609195616,129122743479260704,240142901770823024,846735846977000610,60703865800893196,1393220510663360,2784233280002960,139101279692809000,458770025267982792,533242620585285156,712166168977168800,768055961219487444,344373430860016376,721041430302156032,590060300201465856,485096496384163836,27555305186925744,550665736160000640,176043776579363952,643797166628547008,51318810956033568,227900785372682240,426569785082718480,26917759171854404,175003252520720210,103049998817360504,109410993246014520,331858982877414664,71396324812561336,356720309304640656,425421766039552,2125390515231680,21236722432374400,212195401421504000,36657733587311460,422876652802181172,58322544536558696,283486007388515136,550559312025301488,783287173744219312,661556737537018862,244907417715829072,23526210564544016,117447027100816356,390114247522794744,848542289325894504,563103202989548592,117939990690262728,17974792681911128,76971706130487840,246239611353164832,218170800982742244,19693101107260758,19573383582893056,122233011742755200,351833999042074556,35197185940499100,631994223949986208,76239622655134440,445372911614749616,439482425057463060,112423435895214928,397210151339796000,137194316756370888,323129806175880756,280513859741057968,139229505309602420,258428085900915336,93010129835745888,398299666873413888,265389764848733952,44778608951905956,162101471279614760,297943837575816224,514013773329285096,463733217016061260,68779286817764138,102559509509580760,43859165836007616,356935253193060934,68919517302403220,416750977644230012,51585580749225472,204546517665150276,110737912009324404,269408938590463152,372397659510320704,261973723697942652,185782947637730352,43461987598398704,57430854288961296,72555812628991776,362471296678604640,358306745291065584,100066514063394816,362974053209196114,247311660830461850,51941012313480760,289402958265189888,616353674819858586,60810252449854916,190484465538320128,51407680765630112,239001434573177250,85092219585104270,199139097441947628,5456851586155836,381651502809264660,323627620204560520,401197007551370016,138783254617549136,104267940018717952,339962400667616454,47601211872433104,396334032134828400,380147497423853824,327797897860767880,82385923585908768,611691034790861536,368589368014359184,10273765091898640,64155224958037000,36547946339405756,633135818706998026,481618891901108868,565647378838295936,268479558561106816,31848838345179282,89386773388542396,246519509351976744,11390352533146776,132770968283217460,46801522081945512,77934049722520320,265536432551399680,155073774653020180,453728045598767244,205707407355704240,247770351191701520,462664857842947632,97414318004674944,179824371029804600,713312844398021504,729629509148360046,6419961346502326,64142662501063720,1814533893863412,18129214553622060,17792104285445148,138259850080345280,129521298428587856,37139067822382344,556588830419140680,82809622003397256,229215928719224412,152837429600869936,467905646116688544,450791898550662960,161632341536486912,48918038885400528,410754258742010670,53121085419678640,221111501257589180,529799731558326504,437451466151571690,320470546290432384,14348641320948336,430069998937575240,24547264859617136,312499984135590828,584064000967786164,219640942307187090,1127398210125740,28159333981786000,281337133534520000,37613195690989324,211270000322383104,6151033201141764,61454168370608040,243583289964878752,258728815568250852,581231633039811936,286600515253156944,216463100772543350,514188064939484808,153080935248168792,289255542428572384,61447268229001936,143358508004776194,366993131592212160,217355146690223360,64963672618347730,393631158308862834,63084133529349660,490199908718210600,25969076539076464,131919189284220366,54806341032723200,71754703889281608,339669871647391120,322696565195303432,264646427070376876,146470204736133216,175392293439480208,480580323374334744,69803465292173232,44342500675703840,33534012578915394,260575428847594420,33034515920931168,608988942310548576,420304013633943380,159032719222178308,208983109934314464,53511542263742640,181464515174063312,524677902928050456,701508652524585864,181716642709696992,295447061856617720,10340487867893274,137742282387648960,37205283550724096,74580329227120208,86526430226815698,100846722326265952,42574729802176012,17843100211034180,41481794409719482,532827263716188480,60885823290954768,147308661740333296,145498063412205696,32170315241472304,155940341344208664,105378866424512478,61961613777865164,248180324147890272,7151759609416800,107172828540166500,293730976217189232,38128890931447448,315349667555430144,264068205931677728,6119959417110144,101900293812172800,320465310773009792,587371293267361152,322377715226779712,428140527921086568,551153094833483928,210864542710184770,59368369381727000,335301461344609880,166872131971808768,92545913049848856,344347864759140900,28272711807470928,564898409155536960,119043777310329872,30021228709182198,174535625942273088,123991504916072024,48345849900935496,2808351652107276,28055724790111920,93426445860871200,566448296366922704,134351705848151896,94636137193810848,377744579560046160,256753395226648026,47606147295049564,387302156521730100,115838325846976536,156442460073901666,580428904463492616,29450430241446144,131893204750485192,149665705050699320,494593631243264336,258779189931643056,90105682936991568,355972168270411230,17273783964537786,73955800055339280,73458961111728192,52645334994998732,27660844342125878,371404502893405764,187938448339134060,469970830424185776,423738325220819168,182756845060099008,502994387269762752,10172797689732824,203248403948625440,289055151384838552,48641165936042680,82234749603142448,126041888090945870,98121503176631480,248398722880351872,246286514187310050,83768241431376732,98990803167858420,151315735402723416,248379263084996368,16656477451804344,388249472866344320,138156862577762624,154440068343796352,358169034079152828,107213196965049700,1067389638066496,18659896234896560,213033991917971200,75252045943737776,573333729775642112,193086459777328908,143268261233848608,54547614118252208,271526255933657928,73802849090002210,342532788971028708,125479791920878464,244502612566573200,212776217168142810,18341474433608228,209395753588999040,217052652129668472,429093335234504836,115477675424311032,426504962757368768,18209904452168928,113764774535725138,26211221783869248,112749348982987912,377169420031621668,93427665531519700,166528713055859392,297446669342365920,9856534060658592,32819952112706640,317664576622472238,56953198282803656,364877542753271548,40082845055618358,400397232142846980,8602520726508336,171864929859517440,131677665798540252,566897068707205664,435619527007098276,399046021723264608,8441324472817928,84321661619637040,56374241547488480,52998103413567112,79312168993107336,210519310989998752,103550899378591224,163674511277391552,385382560135174966,215719282746587970,69362331099977000,256139346230701728,131239351252727740,20190748836797742,336142284692169400,193809117476137888,238135575933053694,294036811506792588,475214360447392768,82017706838156544,555855097214428452,45344229704640776,24723865016725576,297847883791375092,45731450808533548,120068507892185936,140654870698519872,99142129433738944,70579861745508786,203042383682325894,354915935876465964,121890950814287220,476683775302663170,213438761550884652,29172676149489600,226643216106986000,254239866920698368,8695239113674064,173708402814961280,20474585760092988,136342759768327240,260861573861724290,97930315831312296,330712960277566048,324941624092703352,433032810339641744,163215027749059452,115429756178853064,88084430451617712,61356425366523630,480800608123620816,300687104474880144,52885800336792006,114775964962804056,227883161273104200,213588189392208120,85372738258441270,266123889543065430,468165821323116168,81045196820978048,503736816694586800,28864945523535476,23274506673796896,37484884023446864,51124168079448004,102874754126486804,347354058527659296,46480743814187000,115836319424965232,186713313122015680,70318695682791480,13747206108790660,2495440814682032,74775286809406560,330469472104093112,10820162402758784,67546303659345700,7276989535050016,36341961259705280,215045958215198628,230005032500692212,49411679131157270,190530516415903664,5715841919097744,57090418525325880,156785472242179328,479997243072561760,3298690787145764,230632360705229980,453831247894019296,107418120368920592,73741636433489408,131209549622903930,389206129673401908,512105278852065852,218119569846319960,383988859179854508,201397949120512536,25527398336133120,138024538957936904,1364742970325602,122677790053309740,18230260420304856,485548834442770560,133936244186940468,171405055183539132,211677057003926144,5722659294198784,457252425810053120,330182863207980576,206566842098613312,66748694234150460,235967642880437104,303557484984364512,409919748195195280,79508726585288424,218774024781841278,102483737735640156,1644309685365368,32845406390167520,73609087263630616,399495051142496400,163768246648588536,305900323976884224,6421607793651276,42757232411864880,192914595480066528,206696126786647632,12279040553977708,298693230919214010,62537511450821952,368016887687903328,48644921612815514,238830277219125910,118623427503623172,40743836674843008,98571996578523996,39548101693742272,65587473156839088,96077794649354448,77694535751726320,35045474836081162,203290666579336700,35316802939249616,132471637364332890,86194278793475802,238664056408660624,165686642245532200,215719821307503270,277151009045971830,17142775176026892,122290380778355400,244103982400160712,302326937082102870,333460360746045648,37318375103568480,55105230888725528,129719490528425856,325818104842830656,217913929477971560,24253236540223236,1482962671609216,14810219729428480,332793297766540800,67970673798256736,123996228362359470,46633834562194608,124083364632306772,516574513734644088,284680855366046864,114185813302137360,271730249922705024,41714716603838270,2597464022764728,45395203723436280,38509486880650828,274701205244991100,117090196691633438,440971131047917248,88692303769354880,1630935144953346,32574948856647960,325311959224312800,13779369913201804,82017056240058016,117388839457156568,5528557871592600,11042165901705600,416288335853425168,163192788476898228,82133922687617424,217404936234414012,164432354866156880,63472207998099316,253040447421974880,400301774731660928,155422992860013664,214355457657539380,77986684241662476,241017878068453824,115307746924361840,206613454354156808,18199470164962800,236736751799514512,158584725119458890,79175183005092930,222500003512917920,188907083198811888,55051593150531804,81083016571266276,175603494164737024,99870696794025872,143759343875627844,227380604732033984,5813124661975640,232198465568363200,77666153662122480,40998545261573206,18327476295310312,15646980552476896,5096789302276155960,293753036816617824,1468655430735221280,3366278408401548540,399682067084469958,4983436724219977290,1836888955240060902,3712445644122416030,232667188765341474,3489746950790585190,4274643748524334590,6358516559515855264,2821006334188400895,3313472026164520275,3105243098932361034,8612164937467004130,469899687705952302,783107580779941530,450451864027202529,2298659233747036336,4589052945252773460,1347334862284845255,4105615876664376928,3571451863787322450,4097303120051910090,3541243402326439460,4219494184328572260,19407951145722432,388129980479363840,5821514081716742400,1551838148923275465,771491759356750012,390888876718867336,2931447171000657420,5386081494481795776,2900741897389852110,6894930955872832173,3366209797715965887,1163618606256520302,3326870922780701430,844754390765961825,710680772466377616,5543155098536520654,4415647693656182792,515874738769601550,2849127332869661760,2159412615868833648,966701431951260005,2960747991539274483,1071440876464374312,862295208773309715,4624329250332508896,690715472080450118,1493602757051091605,2652221651944608108,3432602750101400320,767218325759669988,5114405595231244080,685559952768653616,91454241206563083,7315791013122512400,4420999216210308744,12013428084977769,961002213589008720,752482397032797065,3634115938651189240,1020808334256727986,1255747017443190105,2463619663393503024,3819629862416329836,96615016452146345,2898233166438871710,838906035833434452,6282901822533058602,9196278818229325413,4614725315225077470,2740662935626426568,1106575975472342164,4002628470300971784,2241818062669846188,3527183888697661290,5052483768244662840,58911680735538036,589072608811687560,4571682648130551465,5254038353159183630,162667322675981061,5199262153907068593,1597923428121293265,330087807351860060,825157584695150250,2733518272398001443,5063442792060634562,942647922236374242,7275352748451607708,1917098321361940190,151448555141088987,2797820949962033922,2353630730114023590,2061056414092952928,3843699848464852880,357491133496468114,2958586042223805588,501887275407438872,5645807797336914690,9319087416252217725,5565131222746943142,2688808889913203238,3506400159800657976,1823820634654685415,7593459157556667225,121615868565131748,2432134623448465840,5920823432743984695,167672878022024508,2514904175078477700,68566695161236048,489725301738328800,979376992236097600,1127985251264379741,5588021258494206885,4887720316900340775,3238114060758540717,459564842906873091,2469151342679583012,1954690937407090430,721270879062567954,4220618913932780079,3040226173507780308,7960117714888594608,2400644917744658200,2477410739000690928,3865936252423048260,2312844611649094827,1437953216433102768,1224997359392085240,2698564246824742455,3175794725192906730,164098758842029404,2461296195000261540,6236285491913506645,551445840808234974,1748382231402191370,824849739087079444,3749088195572668764,4070668761619212760,7001747264990097063,2350897524035837895,2100841153431304152,127247629278403940,2544761013112398000,196983727979970116,3939377969260460080,2996770191459916032,1117547280079233486,2456792749280932215,2654067143513204523,998840643810819412,820739423016765528,904422629549952921,4890387666155735730,6547720876171776522,1016951445109460142,2348509450133776149,4225370404732627688,609346473159441375,677000630808614250,1542320828797672746,7765893922981596864,1624829450341004585,979410481651520120,727680601070715012,3107569019473298508,2368408772013376145,3978801664599555654,3317238868714924825,2284493799285815288,4015252973960670120,1703768183749061716,370438769410546808,810510321270464205,2442703725982027323,4260119657326512395,567390848819465178,3399721643147035732,169452862665627090,5226624501543465144,1720933950035037552,3144701684047066536,5177704702455020259,3841443118800805875,283960751917025165,3032759381933352576,892991532737949657,895524405635897176,1263276985493252880,148363752884787036,6675865133087025180,1225375716244869081,1606867773642396565,280714951995417195,6549521234657289630,1037218154557895236,9123782313717592227,3899159612789923635,1561982531851362255,69606570224635400,522009867222409500,1739901529214915000,1538843155934779776,6563252713881785985,36356693687329022,1272388195286135830,2335819519603126071,4106805617038266168,5867594214251560620,2580723138805114302,585284104531281272,3820845209639170743,364524548208931848,4556212654697373500,4025642724853799520,4697663751649861254,3931647335571990293,2980327343221638025,315718874878784310,115062963625738104,1006724852300107290,1200878046128180331,8005757419259315541,593652605496499590,2245106331532235565,1767032381243442312,1070830123980244192,301130013971896803,4683082067933155300,279984631368674133,2799634635887604570,7255390428389257798,4127320756989222508,1971995493115466790,2642067871919010335,602041284115087590,9029936311239353850,2111406777679270491,818826327199117080,1866169489396329042,14227174519624612,320087211845744070,355625552908598700,3582642897724418120,2004421060057446372,232763179759759131,1279109435590293320,1459644779549334618,722473850600773320,6064206969011661348,2360148474664703739,1237181976225080598,3026125194606254775,3075623417799787180,1768588112755044564,1403446598106078690,4419685778005664364,483605464001765004,348091267679155910,4938684970200016091,4232056604735542260,186340808548866496,2486111673208967619,21066814041174780,526630465025656700,75412415360185028,1508134072486290960,1701706845234761406,470290774424065180,849738989130602778,764375970777249774,3655568703722958261,6720672842276107953,2672291166286008555,6312189044058741312,5986973300889171648,1493307246326863374,2953164093326212472,767222583188846580,3409619714651558880,1807245237952293272,3608034553034132718,7153707257326500584,5535257542226138370,4810051825458032670,2596156819161363464,881399862180380526,1745133410323787892,929583001759325880,517768775757117292,523907250703546854,694942827995160675,2316300414047030250,495468751974983535,1652167380839796964,13141518345531948,175206953402055840,437984156341500400,757601194137933660,2309072453991751830,4423006318935400632,4728253707867468888,5938283201737767039,409476523209473380,2001263333842501178,3623965787510453715,206900527064752703,1477748743462125550,1786701359874672420,1371529610901473448,2016897265890067626,1614364848753834906,1592965180311460865,857407168874473840,329486733500945544,7412888623692298860,3070711936212401127,1925231913622266774,3184374993355399455,2685744385852025994,2846491085965371024,4212101976790187799,2241177452314813128,1814319337400925900,1249848376694042526,283919927239501728,2838983581408322880,2453523174942904688,1972718400809622950,3593865660939327762,3372481567138776060,394535994100240612,8491017280837011327,1381577890292235960,5583310603702714424,4833079793930474712,5971871765177748143,903166211772116922,953096207791489110,1367054310883621635,1353969110661583288,2995256844557819310,4242747938821722725,2072498823894862320,2136543311186632104,401232461213208050,8802186750216110943,2641331785270048185,1001690169314297575,1209367953853728369,1895782010541018402,919223621958380852,1214221641322237280,2986999684286276880,5210997366537236952,2097230064371554392,3721460213245565169,104498319275084968,2351033275962921300,3906803165026177962,446249225789029175,1419546012292765752,2810278634653678914,2884001337675405350,2538612617065808940,935123582016228960,5062073880258636342,1577562793495571778,401900955283784820,5898962259649748718,4766685786653316984,827727823006949265,275967227172268936,689865531091021900,4459952081276048628,252628850585948309,2374035244970213120,4518102550010264124,1204043343574032920,2877176145357368958,361867979709932223,3255853540937835606,1200519681961306620,950875057851975960,2262794772057003256,1556789747852419448,4874492426281225752,968724526326544825,4177276614604084005,3255288844032496332,302312623378485865,2921849647621172172,4153620414985397496,70045788128063975,4902831396047720450,3434188587395722008,1568626238434705744,5944772427755153713,1502366913685777950,8611272730967223474,1767094985993220415,2777063613276044286,4269039619431469296,218212340214370475,540164070377835024,326927260222429877,1592941316356865128,8710208633592536877,4220636691510258705,1790903430440154606,1708548962555622330,1076401039129712178,519229085160261989,234351599147745525,2343337163434270650,5870987611248725541,1163080625670846036,2427928649603317617,5615524582750375110,789539774796955485,4453998328311003176,1369250809550950365,3804866164308475536,4006914275767145520,1638893687076793374,2827731015071386440,2815023927466929606,4837568514586346896,938573675853215475,1340197301358653689,4464961713072738835,758433368390895426,3913590835553146029,263322154746136770,2953932162417473430,6417744790868211800,874841248898676779,3484081406388869244,4916336183368626975,7187510416072487424,5729566424705381832,99506612302828280,1193988100812951840,969413051743738755,510356131812556217,9379420166654075,18757406565735150,1688037555144136500,1710857543901098110,1970282285695038570,7925901644241620019,5180434427449410768,2140610392291018788,1017010660166316630,4025740686850493608,4441339179749539815,2180363545189092258,528234164628752524,2108672464292960685,6816766352794716472,2828432666293995815,3929621214343811805,2593233674981192575,458959434508822625,6424940527880627550,66398916261111091,758786698597858640,948410801769632700,1268751769515739180,815306688985013743,731622674789643135,889802246240717394,1880267320631994110,6354158819440442535,2854935805128300084,354439338232125763,1471782560882508693,1669014953819865724,1014707832596683700,6069908491240262058,5747765389302420318,2952585919454771201,148156315013021922,2784914739509148330,4578334146034366096,1273544444190935130,1324266591553462160,1228718105673779292,250041044575681380,3750328375651956420,598226986820361768,2990905793159176440,1639113181243884854,125583340338952980,1255737183449138280,900148366053854010,1567748272184210294,2898773202170156964,533901596368565940,1911604080269979798,689215903753611255,1812154402438736635,3459472671623264454,6179832966977589825,1543969277699617736,3050839309246715395,16350190090088664,408723413363919400,1634768301122596000,459320896735691976,3061904503972702560,108797627258855340,543946418539746300,1379203050150997420,7255687154325600042,2872857371190738507,2657457040016768238,2220940836068306892,5918118555559339935,3417533519409509836,1648303351640653576,883246474423824672,1731963771475390691,1782715290807690640,2800188719463296364,5747289791040772266,1357615864336822989,3756427762193167536,5120001165634285760,634431709209772076,131001305434514931,2667171488146656453,936331778599174456,725875578989595135,785492247524574072,887413033609256781,4608481605201872316,2942799378434688855,3280277351966277500,386248108745622216,7724368910131352480,2158722123793166932,2995822445745604815,871668908163855045,2640726968449614828,6317813111924431584,2834681687655049866,674748546003581774,1010311799250817845,2316773478678580663,2185406416426108328,4952776190085455508,9029623467393266562,3702019244063611380,296795151361180494,3305179054364770219,674859424530420398,1357698049915431396,5753667775452671440,447424701477701844,643027655869944822,422825406231002369,3019949266924978150,1968155846203694550,2964324256851924868,3004474348578194361,1527670329863528505,22824856030126499,1141155030297895750,1565549439281038116,5291947975417131366,4136215889441005375,1132934904973299204,6144499843590357935,5563618209109496912,6252099222130428954,5952781199406288492,1270364246049423552,1167602875890158520,936027466566693523,815416633346158659,4191011710467718464,3707660947274665752,731153062944931980,1636605848915486106,752560647205652922,131440486614470114,3285759197250621150,2581215094593698150,817459910004897915,317474200887794214,5205182510160344313,2217010146586892535,2954575739202581565,769868375937107667,1097722859822284088,445657842118007775,3802670017672126878,574373663328557760,6343103748642704001,995310360032047886,5275628656525474878,3638556750185832570,1324869179477887110,960872033769312080,5482729635916312062,473256503071057181,3380143091673279850,714316741063485630,360549075318784044,7210425725970463920,3814412645754901104,2349596573870036935,3350424686811634350,5919117451985330082,534102901296251862,1835096403293765130,188152028726515545,2633925295523848550,2226894909471282687,375909435221609079,3695541356732896605,1380393298134240004,2588919959719035090,1446018617336687410,879304369484444734,1485894425945086152,1544805611911852564,6749199735060432920,2718053615023635798,865033706209804071,1206711953678939332,8036289767137250040,2981643382632189585,3552147250720593868,835852512101844906,2517364363656952288,1043934593390502712,1797429176747371530,7881178096296624448,804894900967389503,41109633158465130,164425837818751880,3288262866617596000,1090672765467052464,3251778839024533108,275450996790585558,6426693612164476980,560202384076321980,1188015698392957929,8521213447374887709,3433174630401554504,2195979039008351536,736597180097977710,337369693413355931,723309618215354302,604719870782901531,144595257627663408,963893903596251200,1206944058813875298,8678439954976328,694221545248378240,2603129608058637600,5849767373070085560,479863982695147018,7070960739920641632,834496943615256339,1922110456546388604,194512655677089165,1884269348513919366,3561683150248049007,5694362465558771466,3264730216281386979,3920484649354411020,1037825200886642916,353685975251539110,4595965719326878902,2575205151419558724,2972565284735773160,1903426100277085536,2625847354519872378,6706679032683213399,2630717270243734086,3017316883336694160,2298954254863287207,5211034247767435912,2016585526964093088,203055110502011970,2707191963575126000,3418688969723055951,4767648327268373886,2812535064180345057,729724487972779074,2581584582804207860,3584312163693894784,3337166451298625316,5348113323069613516,1269741625086078862,1033959692691585540,2668297180800365094,3560494650270861744,3590622165622997184,2433970513799919460,5200427200444555320,665674772220265344,2623689791018616728,1676614470718850286,4121589573709491765,5330596730468025150,5314231973905088484,5154314569116761016,2965818171848725680,6535406993357122685,3066159268711927755,3676643985306998781,614144946828152166,3509127731644978320,779161611431565824,3988493443511979675,8852373904329469899,5071195588053646158,2304187568728177230,4291543367953945824,138355105305830530,1924317855120065515,5969802506800302807,4321800298631004368,1230275076985185165,967650780537510930,461346172354588638,2306551969887480510,3508210667544460245,180905126993176506,2411881269848526800,63598400470819197,423956446691992820,621576084206930970,1227409182096192465,2298174625191831300,5456846122126695108,235925002706523966,1572711305368738040,7943740350402102039,5941718064197467230,4601273820843915756,254711585119450090,1106326722755998908,2316006261564253728,5196541812523267395,893076000358123842,478761759557001398,2403851394002958144,40910595641569464,3681667724297691600,843124511456308896,57642734894012067,2881912927858719350,3916232468727456825,6021495818083619895,1268991325924821948,3327282757195307478,709542864196360911,1003202785827058568,1033375293531622820,592267733767772256,7561435268027229000,1479263300986674249,8545347222466485438,1075025149781591990,1996085069746602675,35329177144004454,235509543117691160,547769932339292169,4985813786383355130,2108107175668023684,2117344421718667364,1920989603100272670,871846458841919716,381284217047611320,7295583076234361304,1193785477632648271,711104861345567387,151844313208642821,2621546539282051025,1364965683059529225,2967987112326830976,3240326759817992733,3269260114681092710,3457417051782568980,3970768807505415225,8879375001494765241,3698513523103223892,1528418648053689485,307484323084745860,1537301988990070980,734294246599550369,3521649890422033911,8404549254628652961,803907528555110790,240541652066914310,4329412735329633420,839585854181281868,1364479580426846592,2312124141184885680,2453689394572114605,239803753803454146,2066871595068807870,823886677028194560,3277806529701645275,4221445502718733296,471548304302183412,3929263173406420100,5492946833030975886,915683662534883180,1834742114261783376,581254179449527227,4981790575304406060,1484916970343698896,4428416021224550490,3090359484342096337,4048451824623154722,2134443678749165952,1903407754922732425,3334973718851867660,2870008450786954218,956268272828070776,750595167910697994,4685007276714914154,7865671744097868915,2445778140320383902,2059932002758899804,616040179068955148,764891104470385543,614780342534179530,172391118770653815,2068532117120851020,2387602654164213705,4077280835705239610,471579555528349080,1513337137601336664,2442629820060765483,1576266910733792242,1363588829050315230,6733825484660006490,1668952859233244283,616608798419756175,1384259562793189272,1643873124806747630,1282017141469365060,1666271961418355263,3622690498941723276,279372123066612432,1396751597426362640,62947868283807035,1258859100175665420,1089223171786417866,4657289475300277487,1445894803966912536,622690351981994070,743848341458318295,2997068048130618342,492868868733675495,4380714513311871600,1072553642167223550,3811917800970157185,2559596570128213002,3474245742265394616,2354107600730306052,1868496220934263370,3187640072909881029,5438022267762683082,236902108638355084,789097934922828012,3942097255556965420,6800987848218225109,2498185324475512119,3887581418930648394,3349491484122404208,1522647956136365430,3532095114333822055,1263617095768150392,3557690720860648482,32360868254123724,323583385632515400,92308826696315883,8307144903796019730,2484047540812195211,590401370617556019,2922010055158003275,6934224451019921336,4686349782731237316,910222891303371769,924418577105764948,2038902642368123760,3090945583382477373,4264295864170842702,5575945875865022616,666288659917802432,4996774008208298400,2234052927327544920,2111269132033877872,1059664382043893595,1732339173044724687,7652198981334882825,1873098337544396022,1006727979429855846,2411581344548908146,81206460867552542,1624002091037261400,980181347979864256,3854666179860703632,1762814348382616656,1881802771904500368,2762151315814261725,604340349781591635,839741104226063352,3325656369016741656,222045607884054342,1265433005832908550,3381757692105147276,4311616460621283450,905693113939381467,550972508956605832,688661685653310150,20640199716914805,288940157763686730,2889175200784053300,1368160677447015004,5829207387308084730,2609488811189465721,6689810234522116208,3505847895601799412,381456530898601020,8582099261427038250,4855403336827366379,358364303950306554,2986135102950037950,473970585237551388,4739334275571247800,339417581657122432,3818148408944843040,1258993666142509392,1211932667652109074,169152905497962480,563798801044937760,5839623758140675880,2144330140998349945,2540058048082471014,684506805431785365,957267107427323628,2225150622627837939,549189783663748999,1759704554892442275,6724953752335883925,778890543826903427,923052208819843239,1615002441409044612,344428409130554766,837433020218589025,1388587108101421626,79842008403737299,7185216735437341410,1271393765951453676,2162078025074953775,807182793671927764,231359388908344416,1237625944830522919,2364218301055085799,379084857699870810,421172322614495740,1465068915082449340,5825233364744224404,7143939390083076536,1034530632914478255,170101227533817543,2165005850071392891,1810936963699542695,5475366235220828712,2909383057629836040,5322361205701960242,423330998252260791,5442399456975966870,873027257183748890,5371257948116852085,3291991063602631644,1205410127651653398,312785461202477544,128498235749741606,5139525417710524400,2775508414213264890,5282385427504421640,6611267657425815648,499956682474416801,330134348237972625,735674364903812658,1490133021154662222,2112677789154544096,2755814471630112375,187618460470507290,1876037046173670940,5802134712043670832,3292979918775061272,207365482327397882,119377616044270210,1516914486843819441,1917392199379446996,1589537238552958986,789263926224705723,707726623757997510,3145204146771263760,200957241630035904,4018828534329806080,847881697141798890,436736447498850855,4159567142150001138,5017867734066303256,1006237293357849867,1703667526772601476,2486514368166525690,3122006719685555745,778036121095203624,2888558722719060453,1694796361764864894,4684073574347187230,2515040400357049434,2319503145115663344,921852772680203145,3086201408895674559,3047806255684238820,1835827328813022765,448413110061704620,3587022269355910560,580169950584041301,6712968310982118885,4902734487946323762,1495172750772678824,2442217692345575703,2756206414325933232,1565647564911666645,2081747459494305630,546662415284686071,4764041446807402360,440869699362756272,256206642608419110,1228099860050769892,1336645501797159189,4090327022497313496,1708847344393449715,3456724004738699520,491196347128279275,6314883575280518250,1214371033164578214,154411961461754592,6175991304529388800,6351824565917635497,2526035479526066184,715011747809278653,3061561824586319012,481984729811719020,6499108512613013164,4236778421119784024,1297631893322713545,3044974610456029174,3218778418807784840,4250424037986221832,832242548170031637,5806400893445419848,2585347384131334920,309961410505740175,183404500703350729,861988645597074027,1689054341921686772,4693779991190814468,5248693235784031380,13446605292305685,80673260949991890,268889634374082300,6713414811766565874,3298380665315843175,5382396918581135796,3562082268431642116,1484040177538229727,1355624655650295366,7616818973441681440,7044603285198220443,424423233670915542,4850167998965816480,2147276976291011682,1778453183693804040,1127930844886977824,5511252326529519255,440760215424324984,921126302136473601,691286835820176110,1637847439480045827,1218180549790347090,270917775915437412,6154259569579856208,1807738043079967470,1864743688944389502,1590630179859776088,343439273834983508,3924709892882534080,410176850294030925,3515523524821446900,303654238104460054,2602544750519726520,460935899009738852,5864043295539852960,1641090449605446153,2502596241248496300,1773567626974510128,558805708604989812,1489089963255465450,4655694694087318987,1679403762311619264,5843536017893224344,682459388815985358,325067526715720845,4179108832886302290,3853883068933741840,5586898468106199114,1798325785889588601,186858885737697780,7205359235062320024,2373891106271163704,257102423630104324,4498936150137309930,1243510916011622060,1238203926520528494,257774294672445768,3858416284530028164,2508943559822122552,2346865661009974650,5777379813268693784,3621237535911439192,2708225845762014360,2423444238977516745,65060040581068375,1040878171315376400,2006695881559844442,2224109838560712405,4076090662229183514,197055532140233840,1970399147768294240,4774310741156895306,1421820795393086775,7874910950176825578,111627342333987390,5022832190049321930,3757923636377475925,3021323650803273276,793325741026238311,832920143991583560,755943934407046230,4370970483117597816,1273358559538194010,3448959425709715368,921974840686779325,533203185713186797,2026157943661303860,1201531832473803175,3785211644721513728,7848019981913859180,295688749561276696,739163222436845860,1603718030519009022,2417034004288640912,767088755606607990,942164377566444549,742659761315551263,1640976508100008092,3245052238730764875,3527379843455615400,2146221731711436337,1219330790869152297,3111894067605626708,69415051544135974,2082286205713937700,1172906723223879726,221782253591227712,1940440616710715280,6761419104981041808,6705654499888451460,1415789605345405842,2693444951782549352,3342262377377090167,3689961248571916488,2791645624519539475,4613243720020028610,8541908002314791541,1652957838189427546,3381661674392287164,1646421967878224850,1596471643058301582,4075760916119097560,1697997142646706510,5432427487375554576,2760580585444369415,857280706020973458,3809833602496301520,866934072675030753,49787822224779228,746757959172824700,2262800531839973624,905133535127489844,2382982358596571718,628243245188629610,2065313793068760885,265671072413318516,1992374571615250830,6992368265766489456,180883332500248654,4521723601521687250,1184341111081164351,208526434985881716,736371533812254003,4908752975490586380,3967885362360340320,1098704278465196585,1827084646716618051,983128561144139196,3564177276999185091,238202447569591740,1384792349379029058,3101751600250316192,333156335310033372,370144238254185320,1643417177278976530,4846848068925277326,2346627570726466980,325796954882692176,1011167829283756344,2739853306881919395,995851551001046574,700342218318976857,576903816234938798,34565866853963045,207378681736324950,4147243255626779400,796992141232388996,74681991677826264,6720843766950523440,756339926821751285,5968634231150745777,7720440391039779234,5460482215166659656,3323773521025216329,8232560206257736530,3658768276831672739,871466507087050230,2623805610305015590,1371883912710115305,740968673345835270,2817230158737125964,2029559599507790994,4583763232969384899,2437399486623352440,1043651666705973390,6254684826036856584,317564535476285892,5673632517786901113,1120473663835336656,3264891099513984300,4545625736597616486,265357105981146345,4437227699289819144,2090846655204538143,2173012278182761080,4816111306633942776,2986949786550388608,7774219580439174669,117032039595937188,585113501539017900,169301485582420257,4514345964942942480,6032214600631733045,12121630632214287,242413261063375900,256051072256618403,3243109914292958220,751106864768151182,820642132846160871,3926021134649926830,1660938191442844310,2641370885939444904,5223563234112290652,537355594444512135,238787230057375610,1670797403581395201,1429513424998740552,5667915984447212328,1702865659155439494,874845780113466490,928756850578338462,3558640118178657582,608592898364937396,119390562648184426,1675389323531083335,2422184101568166380,217197985043332125,5791483369175490000,4477031596639890008,1650808955641838250,3727768669529676444,977682072511304164,1068532129503448245,1867044051727540104,2983441936481186320,447199183689221492,4601935204392245076,4264012680502872810,6300934413788414708,3786210822547956105,2361416809535860932,736139269184415648,821113146488074401,830784830636841436,2734533575884354560,1159998980603071287,4929522495557324399,2608241303438570163,4339221374877951645,732791945675259015,471377252459420465,6598753431950519490,6840243390036357224,931557871017695814,4471195456705699170,1573317331675532882,1997792368855566288,593134745460053874,1976511944458652742,2338780644540804080,408413282719299354,1361268607225629620,144794841611946029,4467031043830249887,205872900504627575,1247020298755035008,1822150281725060841,2929618446478404736,2425156668857878017,4274097284067819210,944767127983488512,2666816525846005899,2319704012687840961,2306979593666558695,1621917869481154740,3530014624600016028,1449737304693524225,431593912716376059,2877062163353494740,86670687877978050,3033230944966541550,1064683762188037296,2291002274045683260,136068347642879640,1632689274135952800,2463872874082401498,2457206493507483664,4000666281659342478,2585851099107174848,767017911186047330,74051239857355884,740453011830810760,1517857113929035918,2832606371625756993,4495265106513903225,2241416883435571035,3432725291471906490,445113595770475138,983188178025361968,3876923788287822135,1537909189365475446,3063555171078286520,35034569732241618,1751587912567131100,1315549619031376030,4437185580943374540,3057023686499861427,4967869309314510609,4674404813061021930,206107360795701090,1320598972477314448,2811102608760699348,1571364918319033396,412030574322356526,2554276344874752330,933281600592168764,2628579131983765824,2112939750634954767,2264532626062671380,2219322958606603860,1534118073825099942,560023260010552956,7466376969267400480,6478993872373754856,3662963890500179230,1495525632714511965,1758320689885183095,618438511280140984,1513816521276537354,313294353946755075,1467534123773217795,287626825518637563,62180849027119335,248703403984805060,297326320311565355,539920506567148116,2018770587951736035,761298689705095074,5167081551894937488,784069665926588730,1924934288910294788,5151409113279583044,378250603841663615,5295082576062806590,5764832050592700,46114947028265760,806946660613825200,1245516111510004062,928204298423212380,6379163768748649585,4259436054112475859,2078152499287729460,1508329092092141552,6556067940764590143,7775345693774362005,828789009524948082,2183929166583812835,2360555082035853592,941266919117176792,3716783224629148080,4345745476233464960,1166696456281587618,112827161263716648,2820451939856371800,2764199250476449575,3598248137394288585,1770932262922986537,2170260806200195608,524194647028210986,3146244587863991250,3159290160309521790,3292014699885935610,6161909932716073880,1254064181514203472,4370826633254381685,1757070029223322104,1194234327966422292,418342912728656616,309080262484004709,525085389568914330,1750143587223717660,534694881887838166,4730244816034632264,344174373634029264,2458379409549976860,492165899715600588,631708001390239965,1771186539448897952,2638650482875645008,2361574790947088325,122352999521803245,951557708560017650,1670302500008356548,817983207222443684,1293848152043866880,2459965121085148794,2672755919412180624,516765687716011161,2305517261972135025,4230284995946189850,4656418625823353020,5901630146463261021,4514154990521244830,5039569508663969793,2685632696759135925,1940494862102047908,147745843617713765,2683975733021404035,5321419997246549560,205477304835476205,6163821590466350790,2398093048139146911,784003667054706384,2549557248829171392,366651045134256965,7617634963212745161,18427391215456092,368518065551279440,3684883075776973600,6777589708359704160,45858829938244371,458551262159069490,588975107463742827,2026373921256350144,1962765040681633230,6348674608490051586,4318182102878729841,534175542604971432,4526002632381014715,3327793500074921120,5658954625081604728,4016495717487097992,949550442793328718,698398105333311258,1127037627895599525,377054294726243296,101184202587202968,1517640352048946520,747938905238026383,7295779656753742280,3383129695709116635,399924379787765758,123683286468303964,1793521358193532878,351500335631877130,2459095778655911799,4869494033130524742,2359754142716650194,548614789963045806,1782420811970874510,951693581721698674,576423932480984120,4322829748222638900,2579011402094501204,825135593697144380,2266399416867965712,297190462222826280,4754662607148497280,2259568505345145246,3343162332598936920,2595119643245662332,1158115565192378736,515629797286591086,6258644573734585704,665816929224603780,1040762078684697658,4707401000203911105,1650169465186770405,820532861711006915,6461386716473003610,4398638252549058987,5352961556244360736,282721333920370518,955907520220569066,407349056626767300,497419705040273538,828965685053379270,2421308091247511508,1767289910931928752,2239890706823323440,2788861418978175858,1762122170917439246,2773318505359847151,222439529608410122,1774025223731869550,5207126259442548063,2688823461548689017,3310312673391353778,1689461265108469470,75370765028238890,3014586194710793360,187369327650019968,312256893873860480,2561967392384980072,1601427767926557660,535515078780898524,2429298317434685442,1881724742950666068,2680157558651883112,1483813806072722415,1430110221362533566,616048958082995659,559939480944391192,932610516957867645,4633179587914001475,7808185403101186173,2221662611570512104,910926611666556344,5700319128646865416,3570830863779287610,3190369972906549872,2986347256178783244,36680672290847088,183388474582606160,4125905732346741000,3418149441507531408,154143161140985793,1218200600596063034,2986353570241391688,1266311422341873300,1478336672613569316,7198650252909725688,1222264704514460706,520314788855455908,2721716681567921625,5494913486429759455,397038415786089666,488528264016769056,5217259253321891754,1460868673071847410,673022807941570758,1142800953958149042,677942118547817344,6778870295781192960,378486408642434780,61180147965249612,458813817775161810,4189936126655497729,2408602159502605968,291844657678925220,126811792840662659,337624631547481617,585028132737069231,2415349015939135872,6585410699323126480,4742356607660071224,1852755004538726784,6382356799916292076,748164161581141377,42751998416859390,854970423729373080,1111937645548291416,911444603759411265,3741803375991911685,381932861633371920,954754471565673880,381314633967597855,341765153997654957,4410417556483076033,2903639393715725120,1511668058591494422,886920163511703062,2704987983192635256,1189560015226877058,2627869938501165960,118478193285920196,3159161290670331840,1879466109242951584,2462220548860987130,1130699772023683500,335415131351090232,3353878189011040080,2399105788438610040,947803403112270210,5864836904947879245,127306387321204446,1060800150545590450,1064362534994424136,4833023188169591676,1902732343014789420,1554548130895361116,2472246402596123412,5996967968141137448,700908929734387446,3114896954432439600,1850481459981476320,2759088449491613403,2561989266335445849,988662921105690835,741847130930862960,1548124512971918115,1264658632547461364,763566976539835042,1005167831402574018,380756090740246910,153024634103556348,2550202605698920200,469202069608182035,551056275775262385,4285643714674124250,2831318136801776690,749296360913228674,722781175768137435,3118440757161375738,2844166585725790375,1076395559687288544,3779162198060376663,994234967545377596,344135478385185885,5987882226001399335,1235005691623124197,4195248143571351435,129177792303759886,3875017474921162620,2725778599007932890,762002785564496597,664871349172435158,366762376435163634,893609007933634269,5534044878772846755,601911855977465628,4252996135054745298,622896934375514730,113882411163604923,429224432082756710,1489300244343803880,1445173608603070647,1082900719295086720,1907943063196174476,1225262149748486595,1946046006843358510,987057871525637640,126924141207539994,1728490041126863115,6179443933464410535,402466233936645021,2651840787559533424,3270698547301813926,1670813069779137210,278997664871860170,3719664798556757360,280163183766862680,2801402809885618800,5867292422732854872,875247372731090685,3591591155444134376,4795716927897175188,3678840011547095976,3582301312032860868,3492944580843493040,677194771912087272,2851391541855596571,2009672798630171205,331292994222525762,547092312836845465,1723149865393801110,1918212135175345698,863741484397761702,3160692370907828210,791996546816304330,3836648779692929508,4369199376567385975,2232065236816541865,1558115132506745604,2105630460099852700,2107247321105682768,2651734182584693660,547996691743087527,3622824685829471052,3848996694194451725,1993019149861366284,559705278805202511,73604107916590572,1471961612103532560,5500631131628783310,1769034668410135334,2250707388098079292,633470696037231192,813911134056235338,436436645484447555,6159844945973178378,2834796932388864023,1481597170809862872,150072334655724432,1000400253379844800,3970550519219486196,1628450171875694421,1779745723593437374,3746196144717034962,5094915398275770060,2531582117643938463,997898087097453618,6696323334953349903,442111441144069770,1768300781086141800,1143784280685459474,618939723843642096,1805873206908434992,420077967821382306,4739216598971174880,4713950720736907195,2138292016114397073,2697647015904434019,1941215135303834152,1180290582500869320,3143175444424009424,1798302229295076176,1466139411810043188,2716779790622884353,4774757441925927270,616192571817568434,2624237009585634568,1238942501293822191,3672642111786135144,33791799934654425,187716812960914750,3378625280494879500,426432330830854740,5969562533250330840,823878694072084635,7298174602501130848,1741408380062669686,455739447238694673,8013542125547418858,4577803857222431115,494559605567667324,959599871777475951,1348010382652464363,6623021074951189296,290258348023840455,1934896693408946820,3334795447753046277,183705825826776995,10198656884872352,152967283558408800,1529547141777844800,3118081963950035910,5565251478512637765,6209443213629038532,1471940573076336105,658358122729502550,2728070097315276355,5277347159425899270,4467934357620021816,470005269917519900,149593190597609538,1745110394360241090,3315543347601857270,1135569251545048855,1766205818317971840,3026606995209988208,1995981020380151168,1997466352632496782,513757433849335922,2959711139949109440,84678552281954184,2540147582355676080,1437458144670422778,3972640467276102972,1337320338014928610,82554849374516646,5778363919255417980,244998479387852184,306222895469321970,642521899113165630,4246692128235074511,151050387852980345,2985165615982920435,980424762578597496,2014440201039027450,4942090768181464632,1397661545514443824,3581633063754112554,4423724906272266132,2455210961571599525,768920478082974269,1936065744625133130,221434068272919128,2723835650065843642,2169864855612469080,586024089294461026,2315965964136409572,1686000382321819584,2547355909415610114,469783852764729575,164981689338574638,2199574588921004560,41137649622921273,274228395554335980,1837344918953829420,104687142138125835,1395713507732554200,5282159369014794077,762547431302182542,5032867965310488870,4863151558081284666,6522000918111308208,4315478862129166380,2586584189586438282,3334262919918013350,875736073973639493,932530307207708855,217373688351083220,2608269106293916560,6340440882086316180,1341836848264730482,2014330809955730994,625919677347658461,1594176543463548336,3443515543776448200,3093941071286964126,4847542073875315000,4793103463019933856,4252366762225684624,6893514403564802175,3047288602744332432,170138119207185688,2374953848820629601,5117954321888995632,246717716615167480,2466973474125831280,3200353724808462609,7452115491262553919,874745000403799923,125589472008123510,5651059515542396370,4124769878866793310,554482595558958984,4158275974214623020,3983473867019648995,2146733992657263852,1703958333031969182,1828893834822429456,938303635784124612,1346078999556961875,2349126241389495932,1270054478724576156,2403250931133041232,5035973114048461362,1179482174515783440,2265471643147615972,649450584588904536,1396922402398239576,5383726775599869333,859800177002960380,5349555438410330496,334502337269430049,1245467402494075442,5482722477232017696,5168806617255635160,1499839031321104890,1948220334867777957,186161964210338283,2481954214835420760,763497032763615030,1521754093365556016,709681781144467632,6072291148262747709,1030742897264295794,1242201209369305950,3861585936973150740,1416698683263229488,1527005761802625560,385297036504845264,399702643513300435,3996695604748302610,820852546082669226,129052779424348717,184345851486412390,223515715399067070,2554253828658014880,951880408243648902,1158474891052598475,3541878825858705472,4262757426973851000,1603634337139660230,4657236336653044596,1562147599777870788,2726654290761890220,963013074100035570,2322818875047275800,755677839046760844,79612270674063124,4776340474454922960,4340423606324153040,7216189238162760968,7917941716869284217,2631762887048082012,249019630826030801,4771294054053058420,1460328970904697303,1735839852737535875,759501675597035161,1089837945672297642,68951254917371680,1378910765177240960,4918991210985762702,261360754869062852,2613390821347805480,1253178061237944810,1972102671908254592,321566216136910863,1517259222254147193,4695387233853932538,600481916672515590,586384771015931958,2229372267096532710,4235081973226511240,2067476140083923622,3687192157745772575,764268501452658270,5632832020235061213,6747141084053402816,1870290989905974162,2049736052660250075,980340903067717084,1171411093230820995,592034496002988996,1269398531147182645,5877637655042329280,394529456194539912,2065989846459233135,1049544027464207956,4434468198245184510,355270878227749380,4373576748701733815,1901031624437470839,26853333715286549,1342555160066876050,6177522344564795070,1428488420536810574,5007315142511577534,2125123024578174027,1677799269799507488,749172340713506920,570315558720505968,4989846446626846980,4941644207479233774,261448292102617914,813378637359047110,2325402806593129410,446849983094841045,1178314317145526874,3431519260849938636,2809914523434905775,3310816225252770576,3230986044481577088,5311829960503123590,4526304235683943842,345651907182084890,2272111965716625027,753425359936009052,1520376898053669552,2369313871622682489,4214925635642049540,5106976510570540977,203404898557474572,942746178049754136,2513815879687861437,672387590476874055,61601582914683023,5543681092002941130,2300392578161572146,2390773897507396220,1441424310600434625,561342213985738617,444828881102028744,4447918509533765040,1584728214622879368,1869243542269655640,182098486465210475,123671452074363420,989289232258584160,5417738325948006768,4381496461916185365,3033376914420120600,200702956310395258,1058303706158508570,2249652925939092422,4169346433650512920,5794929886607591640,452513277234941622,3231968395954725300,916662390982727955,39017036005537560,1560551387709503040,1880048433470849928,3983338900311858639,3353797136730938888,1880761964425172370,1333364999829183177,1715924971119716076,510593989608072513,1870471008065242455,5994823027624030460,4473189730546138053,2444467533954734075,3671983501882904565,1486550886309715626,1424923260265098675,2159517834408997720,58756554924485655,822523155880877570,279277556523960393,740559521178620955,1298766696085511144,5823116481113315656,923352388141575408,258810233191349753,4784807327886679560,2438811316547562672,512078800083360531,2194440269809230990,1084348210379871948,5232830669529866040,277165010532176521,174719340793174722,7861713971100925590,1367351351698765454,574949910372973485,2678853800950599776,748088245829136564,704942764100072934,3948469855931820855,3717845347455248950,1697735582906268744,1327538986466745969,2905276169704915135,2236628589466796940,17223131686888300,86108464042859900,3874557142979644500,1461475141748283256,478289832032623872,2102471926422584265,3019123943421745044,1606542369229865864,3548376870571934784,6040480716931773364,2959079800415850725,2801494067902200240,2210413674514530258,5362557918279676752,3631551887358481848,684732251474494875,6085999981257786000,2336458203601437180,1053330813672005225,643781830489770792,2709860099339366325,199136396789822484,663732468033063720,785556111679843038,2518287523085864474,268690299114795480,298519799912914320,1239389165141465244,846673085828143062,6001261267808423178,3417397161675463480,1411562836492095684,3271730051005424436,157366388413476313,3411770404816037515,2926226034768323925,4046310233135066304,5424235622137492695,5449164862938442176,1150499811544805502,2445804964519100280,4107011617407856416,5443422023708463720,3991121064337637923,1075592161202691744,188610882642744160,471487712735495440,4037768764075647678,2561726115070888452,1417896858857678704,7730971415585268615,1160113033125613974,3688521345743008416,645839304241621020,4348658503586757978,130260878006522390,1238886532832009769,2857120661069562290,377432373776173762,1734017818346498496,3110896797622783280,331636229078995112,5190510416565636408,1057939033089624276,2600231026610169348,2000733409374110685,3576064719810967368,104474692887992300,1828153799274972750,5005754511570808476,2766235418644930760,4753476858141843534,3260152480330164504,1242116545521314904,664319621484938163,2554739035812969510,2821416173954399688,1674285495209349378,1518580921176066412,734522203583665566,4036226357127158460,1025519406512361082,2756672000618958700,1356849814405571058,1714573344925615473,2343043658339498880,355537949630730132,6171989259850508,308573553538071400,3702571737351199200,5090471922408366180,4008349378672540936,575741833946105565,3053769233758133884,7338038512269579948,1211061511419150615,7590470713141364037,2728835313313787478,578184572324776575,2159507917943574744,323047863133202520,3633983105216628510,3450854895103525336,1996800719464846260,2808881549073983325,1509852676308736900,724029402148571158,230674196160449694,768849356738089980,1206271565031884128,3588819294554250150,748118377573847072,149111236957336701,2981973998876462820,1630365418766742195,492962675166517120,2430646360249653861,3268318605945096284,1235030251002814218,577042985050955232,922647282503491060,3759229226307536352,124295869148405004,3728562377550536520,22440614793131701,1795098138312742800,1900146468650025624,2629762983610779400,4440818859098446797,1393112499527306079,5973718629349277595,2695472349042383766,436139161971568350,3634187084466736250,1781417015699743476,1695021016287900880,2811509585626267088,4317877382898701805,684150309710890543,3287160140280360205,390792379517527635,749528135413647764,1288751744768304288,1908104401724632170,851847912955120056,1143140652130682190,697011969905623680,1533435327091820751,697585339984717405,6375816569264580408,26254584665935895,1575142344914471220,2580710676152950422,1982421426706402809,1727314361062246244,3946279945938076350,7516418082480081756,1238134866061804449,1197989165586198636,3491131756559148090,4854670109820637710,464853342414310731,2003203318876046061,2023117437469915716,1299760424886715050,656585594449085070,1277209976059282578,1299543969279031974,2016619222027187220,1016790754638151304,2713071873106638900,4922144297988302888,6933958735919234816,2957045352564142092,691913576524727028,2451709796307838245,2216043793698082353,6309006902447631336,5077308557817227034,2152095286986417708,685542675409722060,198060156954174326,440230226739319068,1763178599556090936,3550120901654517568,37592767184761875,2255375591232427500,2155403761880348952,5082104894356003632,973088129205361405,747525282168869440,329020079469560838,1086121213596223535,1653496233039858096,3697912423053253512,49856998012067010,332351907399023240,6646476576140695200,793308195807043306,3604948804212919536,111692530787430975,238082646091635453,3116386148622148720,656378051881505112,7383628977108615090,297277593390280695,2361755821078334583,1477486944388133802,721964642868283372,290703242274138216,363395554844373220,243250598490217144,1520187686372168850,1626185903408733044,553988844650224002,273167179344872730,197074170676298418,646363102182893862,798778475500904988,483907058973199952,5317242626318917680,2020588220562771684,4655680326763446225,2042417291645013076,4322444341383829350,1689587620161212610,863632377983936722,2141028065019615462,183307427803635894,4276811293534981740,7646762811045029670,4248946217426982939,6485814455731288896,1753805937821149944,3955269967274396124,66249252277698125,397461855873413250,1794738232642259228,638736240066147330,377085032179297806,667791970268427800,1379074381974104109,435998707900175310,3856921959969465336,782878537683700252,2472783010804411920,3269119397853005973,784259653217804628,3453828336000097176,4897054514021046012,855179250983634735,675729118138928787,3013875380863268904,3889520159675926650,1074834277166911023,250539766723746810,1670123518904580840,3350028392078473161,412756422799656215,3147183573959218410,173241747288565185,7721770247165456757,3555097720227543415,116409926303475726,1739561139766885458,1939168256752939205,889375016043994014,608314680729386727,4199839474599597660,3749474383620678909,570820936292636400,1339951208073953765,236932353558564204,2961403105582498550,5458473233987760464,2838817831943717340,776781825122201038,1418904426407576682,1855704214933754652,669804414565836159,6697475546624422650,916997279436081528,1767195645157593960,3244332919937000108,2171288729491380600,577972320612910890,181524503491841806,246234679274537289,1406935809421970280,56314542803397824,1407743986864776000,398061384864280958,1969124790837418752,1434695582816338188,792258897624732976,1895409423385408080,3753934986815451036,1391660559848558061,674603933876135407,5160842279089752648,350662294278307635,83987974481576488,1259712534316562280,1427898854554951656,340017957115668448,7649753648288986800,2641393838029493188,3546967897365395363,2137794673993809975,956760032068773084,1447597921318315010,1908497426700086838,458563212844471524,2206937293831421576,1031302926246401823,4220084970283970585,6454819401892206304,946051264260043692,624780551142159484,314559525788624542,2108215987596941715,271918846238528456,3398696333411734300,2835570670793880876,1181618113753909386,1329726689050570965,592479205403023365,5077960905970359300,5746956104888924067,900450579211470333,3149531351494537320,920270089910953244,2046189871775637720,6556748590409323552,375236915616725357,830368901924957610,807188081220972045,5964573267778936136,506337412364439966,4322086096597480830,1276514304217623950,5712482988371685582,1726605235493767965,4241234839444552305,2673619464366717588,606953117785794835,6027048674281999336,2393973058645933839,505653220924795299,7358290394143534317,3292503454779719355,1312500165508091574,1117805361915134032,1588962540010968441,274900669929141624,391375583038547240,2935066590830433780,1110845201431362870,3159635007650169888,337979364659755296,3379505398866257600,1512908520781886104,5664190874862156624,903204673770776876,2097916438146036064,134302240533570390,3133451591252270260,862419696218569710,3996084900624590739,2041614752633026672,6952224345552452925,2384444259813562902,611049161981262812,1322975793858492594,552799405525024281,2326670068239201160,2178546042246776967,3019756300037712954,2274279464475196893,1311590222294531788,4490824256447133465,5298495715287493000,1130356034373703458,2758225796503956432,541384396895881990,445350252636273260,248236685596131003,6769934119833627456,4216365457685094952,7505384275299659922,5002818959760681105,1110499071216066984,1700616276195618516,2800763746784989336,685511067135488352,856815604331405400,4732071682849732242,864254003099013384,216067888881784947,3458619042381640128,22852188191215000,142813966014243750,1999224586296087500,1586562406488468426,211609154223179916,3702843542499900050,971332316746298082,215673296764491117,2578266860795334984,2530093666613054076,3980911596438468870,591905087675102461,739804702660089232,3451128835322499912,3689304686894629830,756017598539502495,868419086476415412,1336061070095597712,1257788831877325125,4813353702358479207,690068848217129520,106829323083326,1068201790474740,74767724681547800,534009458594830000,1851875489051597295,666567627446126872,2986020139993209404,5119868841747930594,517046248895433718,3444189047131233300,5979743241226667829,5508557308881048471,1030822272064021977,283760687450234703,1518523992606722190,807953119730874516,1309351514418542412,3447429970863767205,10453147297416628,365828806661583300,3657974587633053800,358657903172215812,5379407492215325580,4872231982724967228,747003737994404590,292243074056243262,3065039497056010599,6591268162372080888,3463920955990029339,4525082071641421325,2652801062501719926,120099670191075525,1363184843934851028,2482795852928361207,1071453010348079190,1382837129532044676,2301364850103156726,4186976257313984670,1909017927746200371,2074671108054734610,155668372152898896,583706311816599540,226800734696223674,4943161664462126394,3029897665705226670,2366542912381360077,781068519696601815,703011622622407157,1265375111356645712,2168217689571578115,1069831668148203342,262027288965945136,4062611188944722223,1325279049590556570,4424923656046950840,3120758934343747875,232686846803786659,3660962011343108424,281448628296182253,719773001822328345,6397432706685695440,1921289805937256811,1024842263443455126,5100670605711454038,780743162482216245,790019220420930483,161062854394779896,1811801416343851530,2682474663683328354,2040809469599598075,4564586103368315934,2598599346662891245,430876108723381216,4846939558566817320,1944136834767678640,4296640166935928556,305618931900164556,2913512586550746066,1143806516218197310,4629940561988934240,4533002357910747686,4317846780538077111,2060538608891841900,12873084981092828,901038441236666600,3016271750060780631,112007195901607820,839981701168056150,1622513940691362243,605884650528262360,472956780229268657,2702377618045339560,4593802315448655054,1621725769988364268,2040881874868159725,3297969053364975210,5469328765366659441,268071282627543387,191301266190269415,1147708783827642150,405020509383790992,5038438365856777504,1251722982108389196,1128882045313803078,3091031503617934080,45929897804192796,459259421252766840,5282612259549474726,1484156046828592876,584749083954904140,5046193515943555066,2618087921697589572,2906915696382374532,2001717840598141557,5547407512063055080,509013445792427070,1148212506417878069,5504289027924312549,1608639292974633363,718621700588423640,7185597586880477040,904323658055494959,1815001797573515444,2431302549230893545,282507893266882830,5032539980885895867,472190969408343332,4104048546079398495,589062827574612330,2703422802095993355,900369160851171804,1662021821729682105,668648877949491764,4303833980593372506,2462333374300220330,965446982399940048,1321133601048112962,1490915045209449492,5662692480799009000,1820146058938421130,391992063793141761,871018297640928620,378940145329813140,858114162786520377,913759554758866245,1143976712688605061,6259275121085096696,317524838154414626,735932201320236993,2734177289497374950,1797175969608759890,1509633397725397824,1106142810287912484,423112556981432538,5032256279492651445,1454013761409708744,1182920118218614710,2426190401669992776,1716899842730318388,76295152056283450,1907214004942934250,2058507430544065440,6431005542343414212,3071937023042882256,68720527408594920,801670196081684440,884737196353849671,2390365708212638586,2916296828495024010,5856173678685381840,3640572638331110468,910642180502863458,1457516851429998123,4617634636999266018,242986115904368975,3401511447335794590,2445588415459153740,1339823505538870952,2475853561859148009,5477782441922769105,565907639122544364,1696551286346623881,3922413488123649484,4581601772780016522,6765455799697728600,4899395517679021482,4208732684978052024,1514945507817515508,2503535022626377989,2830066280617895980,2007634635998251218,1935695470052104686,4085489127005756226,22573271198403114,1128565847322434500,5046602048085010374,2074730215474258968,591896678154008892,138527971886876753,537352113527175105,1146601849115754672,323273970902336751,1379395162010309922,116266738691779934,1575630648903290775,4871095379228507112,786428539109195345,5078503500507153479,954402420524089668,3753618043404053475,839538877614472944,2059522820674432488,168102785179078755,1008529292803568670,2464060350804480945,3558748000787670942,14443716293719437,336990829893010230,4332363605084286900,3489733631762107650,1476242935654757616,3666194604194702736,1121752210813459794,709331392035347424,162458801515085420,2436670663901967180,4581881836580415537,80115294396406160,320433377969130560,2269266313899022515,3996526829710014770,2682599946048294601,2252051461518013290,1108601387007593140,2119913859330212085,1329848302934784312,2199055296012565107,2846983077511525830,3742790369206616028,2910030933595417065,5589522577196307992,1370953246207295196,5358773409683149206,166494234822539124,3329595557765830800,783904206063639472,1195657150166334665,2107606596413681052,1084189676030677376,355644185716627630,359741336320354944,276414855864474835,2763908429218250350,2321314856211700290,2540189348395291950,29572349203695930,295697795572469700,3174040720700585285,1772705759812036484,1929154809404021625,4109887518818095944,349849091721349925,1128991252725639342,2056065702763305515,3698084768593359850,3258994687595935620,617174081781196559,1900280389732011693,1117271896400722914,1236286196779092620,403852657730428730,807635068254613740,987143451161828486,1446779208365262870,3958525283403857520,6629045123250157095,5649175310301647694,2671965303522017853,448707946732029482,1107955316630029900,488093861104860318,6053359184943283872,7490505814359959664,5230658326044733449,2217386170645085370,1975919917989892212,3479178705675340695,1815358209043608528,3518632391506095036,5716422541962697110,1786195959519114591,264164209883439516,3962118095037470340,2866213588819970284,2629077553086860340,1065444000187618530,847761131338816356,101253167134470917,1203265707534630621,264956854731479120,1513907263547911040,846247244963958216,118360687663325060,591751869876138700,876348783158215530,1630646282192479695,790476393322688544,1909825690309931388,575067071944837545,1423422987071240760,1197408632641931232,4428394630136293236,1347188382240053727,2343883750411937400,2880277723503124455,6056867781868721936,138792339151773144,1561277643257233170,169299554685391818,3385695763229700600,1826120780405066574,857942233321616956,1401256448668127232,2384278744850548375,5174241669541071225,5737791841867070304,463623609036639936,1774813574832967580,489768880434577530,3088288404306731040,1233344096512772559,513002524011700824,84348845705699235,337365930066029460,43421635365726840,542723055521983300,742752467014347441,4001186539104977820,2315431619490022285,1770880561403128900,1915534293141721320,2877623347649416256,989607019026969872,1522654030987597710,311867008144734180,4677596464062857220,1309955274086234265,761556023851105077,752857810963880439,1671347953320520320,4951920738989545902,2167346071450608219,4248634629973834128,291185686678432298,402249984662802815,1353275066564580204,602778647351010208,6780666962897301240,31962443567827668,559293858646893650,6391370927939317600,465063758912614173,3767209860559097720,2118545318918499060,2252653181843891040,308630258870322819,579311972698539381,6236881577595939456,553147184213979414,1556586555807170790,441201665508621345,141354003817233831,1884555139495105480,535665747290167665,692510736965624160,980699138252065376,2736467224669255749,1709454105162753714,2758007774357303112,1521992827227280380,2019936699836373784,297746150853362134,2977200826416325740,243345482117245845,6488644645798782000,1807286645438340291,1479810479404395272,1270660515197195388,882829498483357956,3186803150778686025,2681541920994728105,2881060886874195456,798945470373987204,1459041923084451111,1574975727251105310,1492383300360772068,1191313271968219794,5099691794667760704,2707032142733018655,829227887817540360,3253670304401089488,636313430461655173,4255772044123323592,2898228367022828112,1443157611623721130,1106718424943460428,1074395717868269364,752073050377960124,860027043605343664,412786999418580675,4347812056370371864,3524556048102766816,244241211677746755,2333750717370983148,579758491636566090,3220437344617551672,2790029979331214152,2877073740721845684,6310273782765532491,2500258287233697830,1469795349843185472,6290646320214346512,758530876879416466,3266753292870161934,509692592745854475,326671570200657264,1545707702293651782,743374508016525939,4955394956749047540,3118045343796684180,1897982784837078282,670546274552813091,529583932920259494,1176749831331167880,413858822650546410,6207337088741599290,505477426705592952,287981733401560408,3239509891394685510,556332495339471840,2036350353244699863,418524266367245181,104258506939226685,1389991270300500200,930951791993661120,721644351783447513,1733843588382481518,5607085171203794754,4888226010723045183,4084212939577580520,1561642394348345780,2931452845894402290,343946025691328094,573192972189203710,4539179707575021180,823574732956430456,1602995329481270536,2419947775085520288,141333598921964612,584426931926957055,42772370859061311,1283058244866907470,935580680039067195,507933101474563233,975263928178150620,510367780115423386,333954911325231705,2671404180381893240,317359662944209944,528886218670325400,1602496148342812790,720980107477717621,586469245632497226,139652590232109902,1396402952797360700,360451898892533484,1764114186174679608,3660104686327841048,1313185301375836365,720790928942214075,2991665888947249024,237119032203954411,2370981462234584710,236026873512468456,7080182436309562800,424167334870840697,536072339755818575,1962448233255043176,5596510277815076872,2219694990036172180,4716756542133878784,441025729489550276,1104348734621422308,1126828440197788356,2704959307685725320,152510497692361124,762485264043657780,570114785028711279,1241645653164575580,32771546080546590,109228854447872580,3822672777879599700,2026277858676883608,782423174536225866,2044999363190532385,4003832663907900201,964525389106366485,6650443746843928839,3935058326754580470,1772577527570199380,611413779016660070,2909049963984208455,344971432413196312,2587057419855073260,1124951305636254150,450685941802682952,1207932004289608108,2404886395188296691,991998175319205345,669986242337189320,209081733844814928,2613290922343565400,561892374638831724,2021070253323889494,575619205229606960,3597302317549594100,3013662320763724080,1299847573768501145,1025506796200474712,1374251911446958965,4161306618899074755,505561719460027485,800537508173654244,1280514877005934372,2193110554175975595,4342347775564247124,5860717619038128324,5996826549073625112,264261862273954221,231345100032897220,578311626717118330,91649057031117996,229102387214817590,4518400393992123142,2088365146479970155,2282539132842673524,2570485988423496640,1650050298006307536,835544466956998052,132391792013621250,1323800823405802500,292117640091724412,2086369999837361800,313341657832634325,5013022990502522000,2565793987922665105,1003998735503700060,729040968199244468,717148977656625424,2694695421534719580,4765917888940215321,3301583667541037028,1531828236106445232,2721889300831610260,2582261296977026650,1663599757957075806,3671849836126303670,5429677059902151252,736689827414213334,1200041417571181410,5735723192288004736,603963644348165016,2656681420229030241,4411323842899839561,798967326672201675,605894573856237757,1582645891719732595,3522118683579656205,3378393238013014438,3627978621965215875,3477456428192628870,395054831743465756,4696076006199422516,1350056478590469216,2040727684331459265,2204153811582130746,5668311827073269178,5051528539353666741,660656490001521734,411097998707437920,4624442430596247960,445483069907332484,4123039940865484758,937804459955731386,4463448163034525130,205281257287206051,1368420331244937460,2623964355645880644,2296232623274826795,2994417812563640550,158206982797513176,5536753116941382840,4891747740545157777,3149700203527815168,1018881773657622990,1109911236022513728,415035942189622517,299537653314257025,2396088528362945800,2381302395908142615,1153560060200800854,2295814780684771232,3332421085642086248,618008590733846040,3862210721885358750,3301312065906324303,398345552759094258,4283633389139669568,3606059282747097264,289546197513841185,1775943647427953756,2481239912402422465,2212818981265902864,2836911020858297901,2104486122944274945,4325849155654539066,5783075902298225160,6261147838679467374,1697095302548069136,1442360053564712325,3930663063796392515,514155381783719853,487768296724830344,2419096752785801718,4310556279687540270,1311492468344289868,177505304143553016,1774895205642878160,3063571581226547994,1690664957006342240,1927599412500300024,5185769066743608875,614637509322958947,1365739636210545540,1832630364312831240,1825005583541122257,3388548584335573161,1008526427420847396,455804845952882274,4929717781437351735,1567968997707732942,1348620470212414488,673474835139658128,1846076076150563478,632700717320160065,4997660188784844888,2726451257668022495,5094760726520607888,6969993892138770822,2908881036144467965,337272500436676740,232059448390904376,2320387822119643760,3208556732122314643,1027676042295404850,1275350228401237140,218528965689827382,1115534911052885988,1043444983512579717,223764900402694670,610557017553038406,2057046834201130045,236101683699702125,3777290292945966000,3932460699134484150,439611172571314206,4395719890375268940,36384016811531412,121269244743327160,3637753012397718000,3359971040292549189,1447115511503944614,2281214971640926395,2326672616773402536,3295503359799966105,4519519579806635985,6158982935141098632,2328675221315357478,1896634299035257506,3822383639060213610,2058275257631121303,364908593882391846,2006758541261702040,3064160269215957328,3189163598099039205,1483297355126986210,1063285382128040362,2235062321015632860,825275672268387290,554274745331368200,3463907928065453250,2187975276356886580,2559364126644423560,6891778451245968711,1790002675317744725,1344172717616049128,233557716770351856,1784592462811757435,652185163186349764,18150607990167120,362979735855647040,1356489362699032058,1901167617339516204,1474670930544468518,562554944860496665,4821468706365555420,744035320058712763,1343808136517124267,1366034589777593046,1751931095664740450,1321252046698532560,639033248375422893,510560637854301664,1237524419392459490,369777250553451720,1848720958775839960,1148874400103642970,393161032450657095,4717510518989655060,4634038541916092360,898265660543969487,948186653784948954,2087184641080761015,3884712493499462832,23285748975691770,77612219660329140,1293421271004771000,321655595517517982,1599223984436176846,2158070306804225235,3629524003908625370,791957955586648116,4513434477500584251,5530446729470771437,3762831940365816870,3073576265200405605,3927989013018787272,498563509521993216,3115742959745942400,576843250808575135,686025208692654726,2685529749990996936,632869365027964190,3207317874810996191,2178593442642618300,602240916387563668,1485314252581023716,4359254222898930762,6557490384776082,36427238324341500,509935644418422600,5827313754970896000,67237420176243819,1120523247909802350,627562176694085210,4403512383645148557,1934064186594474267,801328706295465899,6798560052154602033,890267455355252985,2743340597083730245,2597499712928248448,267956883271524816,893109520485925280,2177763541037815125,1955420397336712590,142577327857893432,356411350199364180,1706372949147688860,1141257649005295320,1163819589676766104,986097815435256702,98002196004390652,1222658726767584701,544424467629977040,2223260192381504372,3636706417583013760,167668291813442058,838266216784251810,2276789700274438890,1150515793399729284,953832293148863432,1937825327752305385,1971355788248967126,539222572765574960,1087067665590661566,1826622926437703616,2291983236491294795,4501043736660358200,3204494054139262320,2322455491411751961,4545982621148636007,1136311084206780660,1994311482394883298,217095382572497140,1690200361737025038,65961427995519992,494666256576221340,41813954809082526,209050985255001050,3869483172829258928,50828170060681866,508236013563030660,614350702274975862,596283781547165640,1490575436026324460,226241167905483463,1313164858105727208,573232345265625536,3781700721412719930,1368186450608849262,3360988900984491408,942991444284787225,2529482554653283764,1210081306435614795,88256666709886620,1985596353480113550,3611024577546893004,2422200584994139566,215230167113511000,807040497777137250,1706913054802745166,878816296849451862,1541581085589637420,1294523726503488340,539327817206849556,599199185668703560,1909328418808343395,4291864459144084494,3654743557700523295,3309388241990734304,1178622233243424945,508453512500596387,556914315099944696,2672090137490483955,4910065410263738896,2659934965654192995,515501842368801852,1404391695390444072,2777826264311497680,684900241327991739,3564065078648230608,453242280185824295,1061874658117848030,4572315561244723020,558931381008350996,1577631293109008724,2976059618418769352,963138990318325748,8282189301646515,579700983759899330,85293187011817191,852854964884612910,3108773706442441443,3548748851099259400,2193926432570148075,1173200578024351905,6421428149457023982,3706027934415179220,659493443375354835,4200936273119802692,2041863708110431545,713050007418723400,832127594394883707,377404190693642565,4133440174395153177,2398042457759998420,2836182036620003883,237029607931165900,592520533181391250,3031088796695636289,1398278037458209104,908640267823705764,2864843693896663692,777616644885668390,4754288939421608296,3217212769654291581,3066397593372371024,3209403391923927760,223578752051064240,372597596000500240,4821603991558509852,2862138130024862010,1281895554096743859,4388575940731229485,5508079625274769848,1015095228066560252,2049266354905973854,3754396151611814793,581537513317388980,237052722314860841,4660804631008250064,2388595540288031572,1578658595530107884,6841165845873612330,3459167386520023176,341588213064117815,460554497654305356,710060265758133146,5844164937453919520,139573632918436437,3597444664333637862,2540705468346808794,1527996920620561650,476913578689242195,3969100594072442265,6987590740617473097,3014255609295882315,3214690917626779087,5532298522668955125,4051079892038723257,219520724399846309,1813561133569554132,1435355423189814363,80904943537645080,539317465772557920,1106430824124983754,4574087574725156832,3286351321104509469,1441322121689036950,161829325102827381,4315057879554722640,626187448332126542,5601121886186977368,5165794357697345520,408759062302164016,1820548025283730456,1374299215738029528,1554396172087685472,416726694782743530,197145380626026495,2301128748032142984,3298236900463878940,1722085314433101408,552410567158104655,1578172854445710380,3742472312609897265,686517871986780746,517569840047184124,1869393763456223535,1961827718466547744,435537996804402006,3951456335787330522,1687375915385338318,31493046058203415,1574509493503662450,3851697412444474805,2272646418796078492,662608215239660805,1065027944576227410,4556756804854864224,1038521321286998493,1382201483895600574,572023233973612594,174154079038224885,942486317604537216,778589015191870397,3285599573209737765,2116091582163620946,3836364311611919550,545909447107766997,3541408626639113160,2995972199568448544,1460274193904086788,2906030616653806020,377409796866748632,912471982280606682,2917440989218685948,687969518933263868,412435487946899880,4085111828158361441,1193352802391496516,4272268778782107327,3966808587669133717,523431378363199340,4141969252411933944,3031993182354819564,2647237523756978285,1238865705932045364,4625485282649584045,1706414048059135284,2837507894369383086,5443883192050493015,1330042690601558854,2632596160014823920,521864698588730048,4631579934754963023,2846369410138047024,1052774129991190905,1899675053500311525,3202306447813600110,175036804744824792,513673446376403862,532993399406154984,2664724556777472200,346991495990191924,938338779291361524,2280336054826058403,2494384210408283785,763132472276902740,883951726501656895,1330355468649650128,2582293287233903472,72763647057602392,727570233430145200,1424093700919629336,202981251597805044,3622379815758132112,1171691697794492850,2720193905207748280,1977069697123571856,747096918037807617,2233023301075734296,3843644765118817491,2315349341780474475,467931434741128326,1543720520084921914,1257246947196616746,5405981660673910197,2536572595100465580,163989710051350776,2869558403715235820,1136121230306377945,338442391466761932,2900670376188927600,556352702593079490,1627762447483312335,643855040445388548,2288687320625766024,3500627141508697305,1958970677845205976,2190980446062308955,1793824881158383980,1654220516283208695,8222702062656035,246658562293227030,322075229483325753,357828721702875270,3465586529762761536,400993492778856225,237999709198566645,43707196578838662,655548124673143530,728320335924414300,421392141195714090,1070782513906180552,639722715915219962,112281993279913476,2360707932674719271,1844200569877151760,2203140537872379558,551612561077790026,3218008559937455368,579412251752175630,1263889620483466235,235448615413406056,1568942816555647908,3902720468283990615,4451518087749853182,2138135814407450970,2973472037928981694,2922497958352916835,763310043750397206,305945217993104993,6355741002035813685,11986633702432788,149819228248052650,1797666427173577800,643717747128093279,1483602751655574210,644032489302431568,84569208734033508,1902633235217855730,2732404250559764130,5338552679606882610,2869818375363617385,1019387353163947636,1188305793212293386,1241046744679811268,1541306611722896375,3176527452558547380,438040592517102480,185928950468726894,1172758200451995864,2048761007311672665,2264020960707197096,901421540031810645,237321311678860544,201405033244772632,2265599252085458850,169711546076749169,925234296559915048,1078644024744531114,3496172295736343440,5874304866951734720,1819559707287405102,686220394498451941,605877944514177366,3509942631365975886,3013085716944128680,639022653133043742,953644722403171092,5225585673193634763,2679570616362490088,1786499720784482160,3350706345175030730,450256261697393196,1191837974414502090,3923371422759796968,1085733093673514400,4264429896408467562,3123826242635019795,4685170718594157774,780551660425000917,2334284469089834835,4525036930578053562,4640569589504465307,3780265100139613856,337159709625652304,1264232973665214900,1872868995618657390,1297822242849286,3707723466391560,111221501738701200,1112112997708020000,1173743047525635864,4755434180096743848,2425217649625993445,343061106259500816,623218644326522040,7004731008249906507,3066249333969652332,3898834826687046978,1836639320923847958,1713525084026820990,3625198339693585683,2013414087029787648,1792382293602391410,3278266665143600704,45348807658535150,181378574871731160,511985013694443308,4008825345946895496,677099282376991176,1895532193800698740,372072584786886229,3639366125970576948,5547269102794264611,5004138128566617607,575763246234462180,5288849022476803624,3085343569801195568,6697963183017024432,3519202203192121336,2545898862933741125,2546737611246451368,2843750220408245640,2218419852568486490,3290657772797829810,329931155849914280,2886632198879562070,709393525510007205,64984247598693462,649782719479741380,839635568772826320,4977332000356496344,43966976205712374,390781619298696480,2930592549977444400,1115011809862527650,4734368186221444302,2197647839085579344,114868023524139318,5168585431337830290,1228658234043723940,3711072772296849545,3042623222533195581,465005129451563565,2306343313100393295,4915613288453648865,261998366665291109,2993991391178231440,5747526183265801632,1074374398876660464,1194897691094577050,563132237278517001,4379514050500234870,310010935182958296,516637303892304840,4108810631110586640,1934691555685218072,554533683363791046,1489692859209400270,4576742461583842823,2699174201306309520,2190722838756870016,2894521429556296337,2345337217237144905,1125881539586885356,3923511623175179720,256354955090020488,958944763301762644,295112212396563004,4426275083966597340,815283150491745890,1024197058830592425,2999206969182599184,2475434094877388834,3079332139881430944,4230940013792275800,5159106315120000064,1804557032532061192,2051837068758921528,730658048252654577,229018426134305630,1485840861083249052,5583958513203554802,50272938743655948,502682995458916920,386921305337409030,1549347676418817339,3677990371261463544,615626742452789762,1490023430720771742,2467367381485496475,892210083530394204,5899816556157485349,1866934872177800430,643130614839682272,751482968916594120,187344205394426529,656999837873349248,195442918316017988,2458589407022517156,709253365550455125,47661860488447029,4289171143297680090,133566126629568462,2818263180741669515,1166541429162403425,70558227516386516,176379266871915710,1763438442380881872,3966222598240706676,3504813170662585120,3142089584359763130,4259107032432540904,4796208306121006733,1363432560243396828,3238632664071128700,2159016171153925328,1146316055182488,9551750343407400,95508669184086000,190999670363820000,368474135761498826,1805981636213168904,3754015915566055734,647092068958681038,1077607440994695835,2306940752048984469,6055071230535668584,3819438620827139838,204320568387313254,1508861389351663530,2455870396914091188,973176893695798620,246528578435172202,3239477293133320281,9346000778897580,373805417410141920,824472486013908185,769088377312269588,2633647501406060984,1930315730826509730,5454914702468398974,2704885160745154076,1217493264820337732,3518331207302809605,346044299733494385,1537931533104850332,1490265309661620,22351908292056300,148998913315598000,1117388288038725000,4550995434121280004,1412435466506627264,457190987140908468,5839033882648333480,2687051269468693715,4593438760569720372,742052214188186973,2537529157448583915,2333980899223060140,240658721604121320,4211137053702697860,1923272485150396077,1882092999020249022,1156881894325812387,72901233688850700,364472353443921100,1724409169340618364,2858877370472599905,1385807604030090884,1186408692711819810,831422670994117545,3364774713689959656,1112207875674370665,4475986008873965334,2331574799380512660,1160534437783975076,3005078623186720305,3859870765682006694,1500950567021000470,6319907784810045585,247753986787806094,944654201244295014,1002340822758559776,1459872610338821169,1076417194428632320,785327274503893878,867706052848643205,1585019712587590856,3146018907879299592,3990616145403003750,524910207124413214,3929503132907386452,3393623901944230368,3314129608853236840,1576316374028305125,637093283205218714,144788205211724637,3412790700089965035,6336012867743274786,769681984481138475,55614158029782936,556089866952561840,971379684490037562,625033832459855532,512524163107987620,2066283866582590012,1733802918427269396,854918568166205578,1808642605910463100,1399013797775912550,812252550864603639,1980296276609857085,698058695323745775,2527744495485598252,206931208200472890,541301217460712106,393852659207982714,3281799986614750950,4080800574717908076,5725416377258941400,2557092186940200003,2752506709225475505,481861742445406257,396877437104254580,91234996553650815,1824529995019713180,5258531132543298407,4507882574775078471,670705308464457308,904675747794225360,4360658647561015734,3619274360468328477,1452765269029047505,549926360487837936,482524113100528155,249866601355620648,140789267251615554,6334926532945883730,710730026078607868,252252956374071660,1651284948942359913,217725518462614803,5079788444353290570,797785359079689894,537944675257664925,2155422478246041408,1226727363288500283,841606568701265835,3122412560175925854,3807472673029114080,2030574291057395392,1269644519697817305,2041704433248043528,1609598560601251254,798002071340475630,1290134687926393435,2246204617474367928,329731948738683816,1014390077247916848,2028346822890517420,506124567494152248,2484650622542412710,1621681229501770648,1005328340692529580,695411153275188195,36751274688547389,734956857175597020,2534332701128318752,1016368583368717536,1302333350397891075,2270932474282205853,1837477717792464042,521732157106406454,658102997756679378,4524073185717669060,936797946806336196,1134887510404284498,4512273237731724273,4109100240494226312,27193166271744390,181270831042158360,1029341199387153639,711200245993993637,2516659181827023753,4671028664180887185,5723330807778586272,863204808963000648,4805564761600311048,695326592917997681,623693728496353975,2443443785800416765,3018275850663904068,1278262409377979632,161880341755535052,204110993354881820,1048928762204421692,1042822471063774923,886815986304880716,2574370520164062140,743551390884683580,2057755781469207336,229973362866276798,1533012249541324920,350982361597834520,3070808172777346750,1197736593203555730,5487943762836531512,85804574991879386,857965405573406940,1509761597898268575,2445435555996477840,2087149635218444652,1350512102399775744,3582660573717919425,2821858288682731560,4497813705216534318,2283374889819995810,52639415379948804,1579034495551060680,2171411013454878390,5335756490434723578,3166892676341111895,848073664105915758,3347533336318219494,285503729058605685,5278229445900712401,1715839251213455937,2990546605613491253,1477117639101414225,3495289025740280220,941064441065774955,579708912090190154,3157307006051587605,1888309603549338438,430946004237789165,532099924111544505,166289434705269045,332547668688929490,2740052730010576968,95145664748210480,1664892896591515640,1019674189304281719,377969813151614157,5221719982870145,52212298847655750,4176591840397276000,1385157808739018884,268540398421533606,4704846479580197784,3598265425896117510,2148740259585648633,746952704860201186,1435331254186471476,3500447333120928693,950359488939617800,3904771196371263057,2843548282147475775,819467222565623538,1312567646433770900,1598079991995253620,804711450203321958,510864232715649190,2349162597710878968,4731677339990585453,2928831467441473960,2167979243219752548,147070979148166259,3587234806016612685,3170488756669257816,593470244941231425,472223767524932176,204745244799801882,1083437393252836188,591115073825366524,5075137683005954235,2382452549634943585,998128358679006128,2140524905418598059,363298591833616077,3210243700848045435,217214327128357404,2895918536962085280,3764397717892636824,1351714206174708096,2988971971215067670,510305477725947625,4735167255236990976,3938633563126301814,3303992394225199284,245163185761605135,1772197627717240731,3728568950975596832,608563828331225688,112184049551225076,934779046221250500,1468384152637394904,3331628183380980840,1963850014788961128,1614311736864876792,124511959234162685,4447916917839862227,3498822913606625376,2479509450469579820,1355008420500418138,434531133275367510,4149064646276219075,2022366027304322217,5905847632267071408,2518408696569315908,1765235741816270940,4840752030604024143,987635029335189558,146021885692245144,6391901108146224357,3179245632710559705,1066495795827181804,84371268145688559,282137930776436061,572563898038274739,409474828112228760,3127381190402959125,3341259404349261346,1941627973105095114,4208028983809487912,47681688809313555,1112467757037219870,182375669203410068,1140384321908327069,131347573861621476,4516903013218195240,2024591553484852455,2140692086470971075,318676788755712090,1911880215957723660,385248026390537040,552710620632568775,714145288256453974,3466170149343760188,3238106377703880966,1280868527971778680,735078819378247932,302122471873540337,29658179850641058,889661339584312860,722220649395288315,2958293952054629442,1779191237937913488,4261334721081464730,2624898614655638489,12871816012085475,900941959660685950,2159015051002979468,334460296875524418,1068341170915582536,286455001514357710,1247146263863303658,1302452784682749630,364376928124852311,3939984483169124772,593063462949502740,1408462473247054622,2586731553616181784,494955547554489916,1413194053887859854,930409047632631720,2500232347449274338,2616199330296484830,5037169695292994280,2295955234107518298,1183886767944993280,2887632482493460836,1519341605576493519,2359129451933882608,4067084755757525706,67788039116722145,2711264858433595880,618714276469146477,4124371290234875580,663189205583653628,669602910359112240,1468596868831826448,1727196169635845470,1422244364632689024,541626697786383156,2839875477808510890,263972045238120108,2837305580030561367,1318776495726263780,2228370589960979814,410153874445112240,2808560775736787430,3248504084313365352,1355174282717138700,3285883475684655056,2703531597740774325,141428387301194165,4020849830064883842,26712444976657515,480778419245945130,1602442767349003500,944211220265550657,605089775864461907,203288647806793172,2182659316784818104,2488668402000027325,3099746702977045968,4941561315950794374,1848063203863105615,1446256987718837484,2713885878387118725,904445067996578764,160236499197819755,1281770335095502440,1164423576747480760,200819766563111530,2352017548588833657,3467803876290573849,140113443896839595,4609812720914694531,1291463073573253780,518176237696239844,2911195119140690808,1195447479411614006,79670999525791788,398317161368664900,818930192552447595,4534465721761171359,4108177793713308504,4056028675438404546,421364944422710475,202077794204627586,1612515084262976982,925719634471195042,1258328689790466336,1259133921204121240,912506468449504360,2054779366887452124,3218852724970762376,1061484848938143686,240164906605043070,1715300507853662300,3735451733735185504,1794226657694895696,122911327195131774,409665457822882300,1134048742947110652,2431595640221203945,2521498046631520872,1000766631581070090,1685170060568406840,2611716505516328286,5214316290914401800,2387148701015617464,426413608292177316,3789982452232747200,1489644326446822690,79551579937418112,1590880147569815040,1527401890532570658,3267233409294688150,2471454660001532016,525261263148870912,3671872381315866429,3447339308293757445,937525904521620925,1800148726611999249,436613739440729730,402418548423390021,4216330952407014441,894753492509907120,2277250271002339218,101439471440426705,551290485179493774,1080884956832238378,1405952807473700610,127706386377742239,4308566965633900216,217089093412776309,2776891852716975024,1192506251892144380,228978720260902896,858588332427193140,2591364592715441604,2299057903566083336,2329754470488223740,2638660909955047924,1389365207339559372,1231154396074315692,382455035457390066,4298176114774586440,631513884268111833,4411497130920740588,807147950044941632,2096875373467646430,3276238997141725020,2705728087096027749,232885597778121672,4657267397297483040,4642854520406599147,11149300623974805,86708504228384290,495429863207177200,501914357694638727,4798672255786706944,639338486408827440,1316525279437620852,345955890913541178,1028933582574627296,2182367632813733034,5844742028582632605,605701620801536694,1184149652734008492,1758424243101434192,5810265551747912688,4485976474087285065,3660313476127993538,477696534846451434,302987325906840435,4241417128596829510,1054885381774520040,2299370756540366928,2004960630308536833,199021111731911679,3980041657477423020,106865243628699270,890458538572881850,1866223902230605404,1538441316826715232,1198937080598906330,387426264359133030,2338993944464038680,1893642174459800814,2006580307701643884,1829381927579957844,1115079843037799200,218235640411290792,1909379116517317970,3676247009464304597,679189968129316986,2785535845114838935,928803247707117285,321023028450006276,825003055095598044,3206066057480721215,2713991247114264450,1464122607741525155,3638081468607793055,5400421970222873544,1050697960797907429,206254450678451760,343724490654208560,4036178783677067744,646571588035939342,4210034508765451548,301315294630739680,203986416974812430,1223801220239913420,2077808012969227425,2460919905218634325,4209190724775246240,1203478260610832559,604673773467511027,1687957566040112634,1643268838734682664,3127955387765453875,603100215960883584,195821075495958903,1305348647268250020,5692504508205646128,528437773525004545,161520810614469011,1364984681027979636,266281640381184570,1597536568653931980,1429583519827524495,5213155581348453864,4707059478543470713,426805389320374449,5530762274554331944,665191149488488090,2006933291209224810,2868158684206522120,3305828527734894090,33354736083494307,1334061353462809800,2059933318161621560,4196373582591030735,836285275727530776,3575078686660531914,572221583899729950,1241917242075335169,4390857849723635745,496939100081668332,4704090431408507824,155624849076584560,2334148456359569040,1441043206364696310,1483289161524918027,659181537060065196,118080079165779475,944549844310579880,1034278934330847906,2381348157710362776,914681994284912258,1573575707151975840,1524488979558406878,4234256854461029412,493899464983290723,5075363444944106952,1071104731755337670,1766109525174642417,2016640493143588506,4009251412067373342,736273767161070882,267976570238592465,987369962988505278,1507065648002714112,1706863716705730536,2499047986846066700,1681603271675094360,562317856181593605,2101311893722872196,623821372206594396,516547784319820580,2745173941136559945,967909560970960314,654758192731181047,3624095691858869430,698225246980004097,432942579265164195,4838590870311155195,2549615208480764151,39006004457112920,390022472231706800,487481126205922500,511105778085134218,164911695947269432,824479033010672760,2428029516817844104,508165873205681880,1440069789820023756,1385369930053183796,1157225282488069509,447636223972648170,232955588174038260,2911664132182254450,45134430914979024,451300792334039840,3214782926545801224,1547858838027540300,1192488213799963325,412981486022368502,1838033652721773492,1274506214280901376,1694745734205879720,2587553572542703956,662379093566873126,460830978789225565,979889860718579565,3559783731916065920,60564611702729979,336437593060999950,4036861464413333400,1001240370097832835,1103874931641319320,1772427794731513164,321727218790974288,634203266840646936,271130216769829052,1355520181917483100,1779060177796194069,3304926764805083859,48711124449836095,974128392293351100,4186570007733128240,1133101136476652567,1529004448456068816,2251795578120019746,1975007985176236374,2764029474485922090,1639780701805460925,766607387308080716,1491632589711022605,1366014461836921672,2208041584835727515,2073751208134675056,2526193956132715446,592089192048863045,529423559551387416,1800016294986202515,425259666362668988,679521540291198354,856852563562685739,686461910013802269,1068820385480411535,1340733612695710844,982984393684280465,520046762763952404,421177934327778543,4086387402919239630,1530408451934998335,850880049876707490,1026251678982148136,3582377437222891161,2577065101065116725,348164408738052075,5570091281682766800,4161963890070733527,2331010920440255424,228369323304043380,1268595612534224600,1856423197027203305,413606236232683980,624336600185189126,1408030110032240820,363335062573933338,2987395709502093632,632726030915147625,3263590949284387998,2726479381845009245,576607813905739550,2876783329771711284,4908391449850296751,1565623878233950191,171392415007313985,1631647249939599576,2226531608310753364,520408897744246899,1428237742078131489,291038364259040920,97528830885565842,417940172558714820,4035477205388475102,1693988828433129669,1553464251320689290,428226925219541699,4768083543940856265,1651287762515595815,2533528437649803732,4357405605037943325,1396134210777496542,3011273248506012378,933303479165496816,1392637999487024872,1808799392911472160,2181255377613571392,4543845163367120648,2574619347543158876,6133594389903493506,1024071294743299335,1609775150296804926,1327005034429876596,1323303753218694294,678085366912174606,2247449939714896695,340485605514329999,4236426782148146544,2114454733804075992,974003158214327678,2233365615557590720,3875378235549742257,1520877824338698747,326651051321420312,3674467201471132590,1965688358600606100,4840441137896688384,305604226004751096,735379403757826992,2817214487059852502,435023396401072125,259300929302242368,3024883355167589440,105595313402394354,905014666506679080,292952008018166040,29784062913991206,595623317299902280,326154341457846324,2717688438197727300,1659538387376467540,3378617854995713850,611495190811666389,2273581675462741956,613923767126961765,1837907449199913780,2744067804929726688,2018813883789139770,1494132794864156934,2723597337644135592,3243334883242088205,193530437405173665,1505090172509536550,6136231566480955,12271268015628990,981605834605252000,510866292365038563,675521357346163083,249054494020335227,3085789450536525951,3392104547531023020,5145976977503754968,4242119269150512756,1889129248489160109,1145549842235244508,32319114893450720,323159649951721920,2019550949202938000,925569127355861670,1346817866983038432,3545746798266503740,360178114167923646,3001191632114979450,1132434975023174224,686512023074408779,3889620586871328105,268935464801872544,672273084651200240,3018522059347125528,147268937078843505,2356073120960854800,263069655213005856,1138231065179175359,1778466483985998996,1095484174887167532,1436663409753139905,4038640143886086944,50784480653584389,1015590471488326180,407046008903085555,602166919435179930,869795500500703059,359896625507055024,3148787983656597660,1305558323831440548,143235697585726260,716108543100507780,43123294324509855,431190821518421550,22227089375960052,777872129699784700,1991261237356705165,2090280974234369775,3698547246580618710,462233966120715314,2423743034420914710,3672025628188203792,2518241522258948016,1904013425784807585,3884805661243790844,446029769978316615,5734107820733033430,6062902137282611124,327454693258383653,2984153661472379634,1406218128172793950,1871515093095255471,4348850742669573168,907245592394994958,265994296207053068,524996630838661065,269005708403605761,3333152690959546206,5177146470110886231,61553311192349214,1846418628110420700,2324856654924010320,2296857141040494252,2454251590955710395,5344852700594909241,1507295641474382940,1138572820042112187,1688659927217415915,1400817390494712805,5356780521845480392,901972719123383835,1480387139952760278,895823005649995256,867282181011186168,1121270452615347939,1490810708157298600,3988167195949938864,1194737354262798514,1433387845579312770,215418851615446656,1884730239001338400,3940648071445820413,1322326713955099638,448926182061603706,694672490324204454,2689196981898997530,2026133616909146652,246065405601007122,2604702805271201535,1956166349015043688,317587931657888915,1357356298018022568,1671321949729830624,1824299812788713817,1638457124511533736,1103691583355845350,5012549934408670509,3042368408724456045,1662304985804336824,1225700206606810110,3223139616109606830,2477034667867481246,2115312843552386184,4734417277462734981,1168228831001452821,2826359111118059800,1401089896843090524,2533035287628416652,6020679764570372874,2231149177316199399,712196023561072740,89186912581233740,1560617682332531550,853213229758273528,2871628328139990984,417912786300714600,4178717304713887600,816405510420323397,4196804684168548557,1013879820195621042,2204408544430243680,2808385637844404355,2671611941292811436,633755578716593866,2731303642966964496,5283165414373136280,1083056886723320520,184943917823156964,4160829009143457990,3457734469423108722,1858900136684949450,2454785178417530658,1217295986364800382,873552112707280332,916431327174992426,4824476683843005240,2677950072589549758,2367719281119327560,953360548527746366,2624352772305739212,209368402532152995,4093877349959801376,2364197313342021015,3466870761647240864,101958046616118357,1310760128778330150,183144221372852744,1373446428105181020,347125035750452862,1301600587556245344,325486633987128390,1087482344873696580,301470516011661355,3014408231550744550,1953914878083908220,1537568429640386700,962510293240742445,1170494091774325494,3034008259986594520,811416455511321495,2958322606706097825,2542585053519683586,41586701976239240,498991237247702880,637921005343930165,4002598274932254585,346628289864891336,976245515271374202,1755990455921429152,335419435752572076,1214067239839952145,5162643303959098184,608953569780302115,1543276867130429721,882818777346537564,97161310207434015,1073455940071225852,2296493618826832804,116551394978465646,2774722740123691698,2440960892481486480,553834543424897745,5567754523256213931,5079975188407216614,138437801866176264,1153534468122187000,1795160461818493341,3537871461843681024,1663816698465042096,5327994087814536312,2038168734018563070,1176321681629821244,2382111882354958524,4865462264517681339,3445407441623999677,26026927232289405,260243560444786830,662783828463971268,253540770183865724,3443860238480722632,95466567966666980,2278365928115808177,3417734189922763608,192179825308131336,3202680488735192400,188894374201008090,1703138680992878311,2968233492347417979,3951789702678349104,132773474142793644,331900861639646850,515774645074870032,757909233433390677,2546104405543729086,319811076238082304,1998621501273064000,4454530506146689785,46814086840403049,3744756397610380720,479449867947940118,4153852480549088310,1999318040726155944,3724070370552149996,2942165500400620683,11170620000184644,37231714054651800,744560564302029600,1570415200968793445,578329754833603604,93445224891766152,934359714700593200,3802330083236537744,3340876782222281052,2692642770687757676,3509945428694974216,1733532554081687220,3167804959796255676,1546700874342931676,2232534875335514550,1812712680212581320,1356110744143604520,2083717632626178612,1274899075429806876,2544506089178275524,149339891475487134,995500583329762600,355580295276765204,381259561512061914,2039126439074769696,631950152760672213,109945800106848135,488599540659483160,3140946070351351662,699337149366924378,22792871135347575,227906101029963750,62001811982658753,1239913211872264740,3095898535869361780,1223930222374826688,2161519661776860960,3656914625145234397,686566351017631038,5151915952710660624,1326000253364912136,2106894389727269280,4883428302898629141,2190210034130469036,3585153144381261894,3207840876802043472,2104790831901790700,770903034613353702,371618981632383275,700959711227866905,741621993429189357,1531769275977905260,2435390464158655185,6247407580040320722,5408685204430329464,3968148784039645256,792432345660389865,553538266040443689,2719933455260360064,3224889210766610538,417963308893495780,1396803637042715420,41970756809384235,1258997518723653450,55684811967407658,636334569649853280,300244118176850565,1833153597448226958,1921320176487737886,3296595810099388455,1350820799514778068,2985339468643387350,1234025074714823892,5113110321903337960,138410164424643693,3446642002654474965,641500517872370295,1475022219272301843,1249470856379798920,2909311360705058687,4105775066088119130,5348611113724145655,1945480888958870970,840323123608401390,185582694090382960,371128428525757280,724615500354164325,333726042057973399,3933859294843139186,69895759090609956,10578260268870046,475974291032752950,3701653443747527100,1301425802997993297,177718977067921812,2343035556424914516,3948737883244093125,685074110941883424,1429500774845493147,4591904266690681248,2584301111318830536,1834795174007158680,1289735192128342674,569936817281089528,118309868523131562,3154615223283917280,1441224258766821825,1298109770505986736,1034811057901383812,2549552681850530005,506151278149432662,908118402961906830,3488975060094256392,1248604487730028215,89578465130666088,597130174661558880,1819887896059002630,1595447958012010692,2335279262365424404,1219393972173133224,846219943546341456,54620388424621220,546149352155080920,4351971046944139983,686475151817511806,5147448115694450376,1068269065255364725,252775595825015756,2527503483921514440,399909510978149012,308837349225116013,2599958384091688560,1947316708887871328,66797507928066678,1335816665973425160,5195177638218039168,1242313990587400200,1239957595573172217,4769495125798957715,1201888070593114546,2438338636522847670,182589233099324540,3194992111740847670,1696724213828727768,817306358625150736,1990375546514833998,3906214625821161990,187320132266997492,4370365906770396120,296199987176539944,1110638835934017210,1019283512522929100,1919991330830135076,3983999320962581232,2620247520908026938,2087744780474353152,2271203073749396835,4107464268681205341,1719852766134894528,997116572155606572,2273285570683395248,692244129491852160,529768469203208109,1165793735212938492,1772537279643160500,1802197880436627888,2249544200955193980,3040732276328468463,1713408175186774816,539745029888699117,497457647639037558,705022377182996525,170121326906059080,2041251367647990240,3903226332031882248,1890779650996930962,1200984088049657010,2259616875432099940,1186140790273135728,753291781355366358,1165905082807181559,898728380403532150,2218134555558845208,1303064560337283275,3267180712369761126,635449577312981481,684343201336412180,2694997852684575488,4347431683382425596,145406843436942265,1744707071032300020,1449291755510036280,1659279349424219222,2796154694458096599,1804162603724291790,528569113881586605,3113189070659130080,3680089698728406600,3379335570596054664,221252480793911781,1474868456308205460,3600388149709719735,1712001069483227415,219668044984170666,835533196020952266,126501968802285456,421630877885863200,102716221815236018,513529519332929110,2359322940073155693,3144181725758024310,1084112869550043555,4154119475381856024,2377933886715641094,2150375780447734900,1161115623798952062,2605813528520437520,4658228291491426728,1909466496835158645,790078514837744650,2107319135683630060,3806544904184702280,1952189858981299704,693611099956189846,183671050396182060,459131445062657350,4369786344275191470,131541130832040282,3945836954719659540,2517661575585376518,92011325138941128,708433899635287665,619574075526783378,2538234871350670506,622010637706336245,111788652873553695,894219208697622600,1294534046438346693,1929437672219400416,318635870941277352,398254737897182910,3397238603541924150,982703141077047270,1198215105439128948,4212954046257433888,2426361905769083055,144653490543758270,161677364088697412,1616610768954512280,2511725142010110340,542239806121491028,4710739492276940535,3522404548138318122,411181879663194646,105848735093149572,176396777767109980,3195819168619240080,5255402788689676425,2295585910187647476,831681539009936190,66700946568428928,4668595464730041600,1066111851428059494,2233187193374085036,777330274392457596,3683293800348530238,39881005989417960,99692457359251940,3987296001502786400,1073897770215200295,935977544356977171,2511215494323871335,909035794395536475,2279564810057337920,3312094929203702614,645985913323338318,2325221904404938315,3591357532458545172,539840055737402796,3169144755762507145,426181959159282694,804431268707359185,1920178650408527637,646906906316905017,1462966383479873202,1987710930037496345,2872745439435314625,1523530879315461570,2615412666649152384,549382985300028868,164157760095535152,2735686198239252000,133452425900592416,2668778770880484480,4322203441334934036,410679081258361629,1759875287380237350,2585694414704544264,933741814533167048,296514781855545201,1986541857151826256,2228672727769210575,1914616939534825140,3907924924307497695,268552376803196552,5839960536083761731,1898518868930609725,2823759574054612795,640618049376578835,2391210589599142104,1099708798645480888,35484822332256120,709624623038235040,313128677760038570,209142350219022444,341423341558727454,2844906486939045750,1593085035567604824,1242365578813957762,664478074054916958,3007143211917521061,688017277246804740,1561753144981816254,2849988519074271555,1677123194720907756,170514224596578864,350274226177575510,3173085304442450208,579902790066277625,1906530550244310930,3418471409215701240,631886938022103840,75268544995209339,227225539472223441,483257917078945662,128618118546088293,1218778608759562310,23635420465158762,39388373318925930,2756906551865475100,1112206227101958330,899515463907870540,586162385350576264,338684159521021662,905439934647570354,3763805270178680384,5835834383067344970,1601759742274205868,624801174126406815,1158147110096119101,2120478777942480312,2284921821831892740,3369518806278544872,845322793410921984,694493513075958888,578011218341892699,4607430978890796480,2141604969753509904,1352511065367296065,1163588503324435128,3755045799871420176,366502283328183090,4373374057929698904,473782476129756122,2022019607078157,40436283740489460,1415126141074978500,2689327893816013304,5871889532928048777,3178498203463879541,2471348999963754940,1334189204292387510,1205061829354075734,3299916382111764220,1597975039143244449,1824390077591854593,30823900094282190,924622977702724020,1739861142922687986,2342223225268167496,3726432763282940832,5544985043896086870,197795650384990014,1261753540987760868,3684639498787599184,1131034620478213396,1612366751100534840,5340070167896740712,5548840582849853247,214993762161904806,2009498346332175265,2616525710953939300,970487443433352534,855980837194082574,486707772916204584,1107838059000082104,356030946180792540,3559946924191888440,4151242592640827145,1101991701665056732,393595184368296372,3198219616228743525,1039639262152470711,942875595488625885,2253191063992358202,790546588498201790,2372039934238988100,2220523773973410696,1415414376370194848,2980392419622352518,1821826568739757104,1837401059145581055,1220462448697235778,355359801891136698,5329853575996916970,3860305574803226948,723620026827661200,209740757875005732,3020433884719516376,2942005274564626935,1593014761075488012,856322541178451620,1282813961770699590,553264906476980621,668114527719244504,2960898840753622974,4860570668964210560,371275818128250543,2887406096457979110,924350456054329218,1070189317981042269,648505138473402975,907255426469933454,1031433441908368104,1515938440371864216,1760248573560792700,3050448943964599040,4175629606669663305,2484278001260980128,1285260160857499701,2980941735870428616,844337318584909005,819406898782280772,107496909086409576,2149718508638404320,90826647556147308,706357289992481400,339920060179426643,431214509679118040,2155852168148386200,38251360411537884,1529898001044597600,3846161176816014120,506684634460035156,3588012239280144342,1262631290714114148,1482606126594094725,2622683591914566438,240568569099724128,2003625031275339505,4661936363565993085,1938943058514264585,2250920289424253585,493591256215505812,780397366352985297,3585444573223664454,633051476405788990,961932858802989921,3213734702244722148,121908114658056608,609478174234241760,566110089501364530,3312846091477860276,1460750470656760608,1473975071575545042,1456404434506644126,2129314788532841325,1536870007248334368,4482947282808417608,1072554734986134984,69498593414562560,416948838437337600,394478752220452242,3380899977941194440,604034069422839712,2124087889429439352,1246904715306689850,631893677632862392,1111765478582322063,5120820078137754903,2521795360213873758,1359683689920040875,55154765284932702,2205964381794651120,937852438779828480,2175821429914648984,679880077535328840,467375227832328033,28513552174390078,997871945728585130,567064597980623076,838925407642376715,674643101482973610,112098325393254204,1681302318196447260,3226382069127836316,452249602358505120,3956777822102621880,332831370007727096,23149413993962070,308627162947348400,2700210393741122500,2135829543054702660,90510593861040104,678759737414085780,1076241477700574196,230631569503884990,2306078781670274940,1911677421541457484,1577364082656996652,4358514351243270645,1998201394828890360,1517065211914604397,2865051582497437753,768009290330385264,1299937479536077359,2454925793521270160,1698338241141329655,1679388306356011212,289721681426018576,1703519260707390084,3990456713779937685,907729752648896616,5031641754252528678,1426014072041906380,798160011127741968,6253297569588015,375159255762469140,2500804389876728400,286384752785140623,1276332614775215412,1251752884364335635,262203248808332064,2621762627855664960,1775453148370257399,1855902498687376182,1125089825794210975,1842798492104940293,645811709114940261,2991637102830702618,1405470789570840924,814107736859824500,49391335986698069,493862488741886810,2140910279664605883,3702495421327269438,1293833306248188570,800430408681614802,2409368661388413635,376709333998679638,2242657123122640944,631714176401570880,3080484020049257832,1516899186129981627,1713234722429522676,2532999687753651264,4699640046330433980,2380856887920383444,13013735514468009,346997161848753840,3903315499072923300,1865013473295872650,1708040807659830180,1841471548679572512,854484152653786456,2170335388752028806,3214005824088230640,1889545680880682274,1783884470626165815,1335765758866890325,31330189600882122,2819426043988149300,3943932446343531296,1243868903741382356,3764123421531897744,261547799924083233,1485142726402143935,1000296436067100753,549871400292531020,880521593095454074,2231756304639392640,2538290782860014650,461908171660798671,9864375517471578,246583911174714950,493116870321933100,2228916694376312745,1097085720837865764,1074083790557394580,515648834901058923,3612715834765150224,374432763803276580,2495960392987531920,2821668552197101287,2507372278419523990,2031361659115097355,452147981434505520,944220178350950966,684529576936242174,1448273343773801241,1772055395100407768,1688595316093524405,1315864277739860367,2196763441111007960,2235364105650278010,1049348833212174956,2573951296297782140,2068201289024703708,4545658339516079832,3805865314250177574,1139006318252019432,1747679016345130560,1491040939103815743,476025864746172633,2180929650096198112,491035591304749260,2600954770917098040,3118641523457391610,2935891961139178557,2540720033041961592,1325818912908627621,1919513305002613920,406383865216683702,312933820991283005,3754816757344902660,2458662477027025269,231161031492624975,2058388727932648494,150122390805171645,756545337019170976,579371311007526426,1092945134893037880,1744505179384017152,1919910302586415629,1329075441835020168,2450391795381762372,445492953927670750,521935163744333358,643342915913612561,2675934880223179015,547848220233808770,1321297881571013865,3313634204493503576,296345228077718118,686719745432451296,406864689052607446,975540242998748910,83999620017599286,1111407871873052562,4343530870479087072,1540338948550102912,4313979625808773270,545130654208217214,648191458263914508,425940276757068777,1001304898270793784,333413199331855375,101554723180355304,1142371957419909630,3076217001858901685,2403576294560188713,110397378473648940,551929536614588420,2026363058232522352,2521391012911273212,1497417120516244896,1694022215582564430,3352688279600662752,541062860475757844,644297907128500016,534300359220971226,58776861708477070,587707497811198420,3915936568851768576,3248548493071417365,2483439690283250748,1665016371078003225,132329321756243170,35765371726380588,268212380349163410,482895219348277766,1370779918670178345,20132872080727329,156572708760713630,1789216147761935200,1678823203629758454,189374255698648170,5305451436857610054,213716874741371544,801354836759852490,572558310684561528,2544438616029028800,2476299760013102535,1953783551008458095,2597634949148376300,3150346367649702435,3498444205356717960,3716156967211478304,771844896130723911,1237830770292093282,218814042878761638,885761922286589010,3133822408620697368,104836914825124272,1347762693331484640,391500658212241532,25456267890732075,203628911104531960,2545095996363930500,1607801935842031527,1240511246772055472,1248418827447494550,4910313395027828601,2279211394536015714,4071291412074643337,614520126994224774,2058289801142049265,2721183602131774096,454543841248706295,1291678100431333704,1016065520583054945,662106687120355320,177896249595035443,3357276837313544208,1992027012556863912,4872887323280819091,874872183701361960,478034062799948478,2210945392815862755,3158235059866489152,281236351146828576,323861724725838030,1619139482548830090,821314372756289424,319680263844110013,1666880896267158972,1372787987758722900,603016252568491408,420502293745724628,1254377279350354968,2438522019415660824,925881200294830560,1017871311422296986,1653704600581773627,326497782471996526,145072072676341530,967046023960257000,3787953381733472472,1394600978965151433,437555132915643999,1458364557889297470,2288382425971965645,153447964804063625,2454910583748362000,2391951193189195440,503007866539550502,3436424628317195490,1645641160452202482,921631246842554148,1449631685178783924,1510364502763661205,3026678457242572090,3092144167565398246,535653890952209922,1452346488176870688,4174158256230216688,350402470714180320,875914434869776880,999825634325102324,3786755856978030312,1040814744809566305,854523309893147190,1052249247110297568,205056183599881326,911265321211806160,679492473089700678,1337180953570679400,379452939694447616,1129700017676963850,3371192529079417182,2068065430330973647,1857282486599416350,1944991156957430740,1373372276843440196,823279358661392100,365505383930191077,4583269702421833240,2266037548721712696,1006128508282671192,1542997851319048647,3137390657348617605,4224019308175013355,178501329080702331,495143897549149644,3062540277742177113,506364150813706668,550643769883250085,349296715188000234,1620521518276956270,614227226965980390,1167916170688008566,161080260820208980,1207975100706342810,805871144912841410,1616897290020954570,13309264510321875,798471993807187500,300014223439341082,428546723573707140,1689862504175631688,1448267336017601992,1608685799194833300,319915900587417216,937306062862065762,4402748817351566784,2492248135293664328,2404881744691136725,657289852650445995,783858470614427043,40257761609223478,1610141145483582480,836236710060207650,3478848186776699574,8109468228232962,729775375766998380,336199282922175326,2769211229040026820,200703092326163916,2526552685483069369,3572552618499270645,805375903624792836,508144939817246905,1170981693762598542,150140014786671706,542764215842918835,886827073749881766,1164140664875041160,216507047969922335,3463748031157437840,3830778968278713296,592660894532151082,3172894700456824560,582676318096072290,3142619377720646982,212015694267106812,1674567764109967132,338434618214693080,178040974014826245,3485844682915093268,1475613408921288867,1293851048183317503,933730689001634960,728791250482093844,4321738440755201472,1103475594143645664,783204027162161488,144233637122967060,2523822505560643630,2819930821590346695,743092352452721088,4038382623586987802,18939565232366685,126250449704621940,5680670921455043700,550817701956472343,1551218207306268216,76395989101261460,1909698191694068900,1860409818779476005,3990394560092262777,5359373414480990052,396223372980912690,187211724937234137,5615758831173128190,3393438833881854891,1860833443452819305,2100470817947884500,274625254148180628,853099092931248486,1852554201818816622,4782773384022509658,1214888243788203240,432484391585808716,3981041959863195603,5316885080141499828,956471229607967442,2217863759954573220,2456346948762492528,2760985018905847881,796070451234484944,3491858457728910871,2601548285305403425,292005489841049682,1675823882427262435,967265997116600130,336041509295016936,853260082442569375,1722846111887695024,480180032611009662,1012614971166286557,1308773823747852175,3566343660323261760,205986149144790957,294831070475882442,1594524734820203232,81121682365518509,1217467852895491785,929553224595516912,187769427030064989,603486172000526264,2414302368117577896,4230713548783057230,1698750251757378547,3614270291681183337,416139243374338956,455135089914146504,1706575814701423650,2981308841571372420,468811820679828906,2608917920085800286,3711106822837323336,1691640995975974720,823771206868329996,755138171803189105,476259353872698248,473266692845689449,281155855564738385,2144769402965647536,137782803613860768,425477562654447096,1711968955140438772,466339620612634680,429446014455227242,1685895687765156077,3013254180656505126,4023558926597485527,214695186062305515,1226699485553495880,4736018313350916912,545475266366700888,1096455844689845772,2014581693119137700,1100270967846107390,296169702241951551,2959603967481438746,2940615509001913946,1966843009918171650,253215680412746596,5052543302472616056,4849841431242153864,1767429585060349935,2908910586236795800,3256532094501341355,1920776287204837611,2088480349530970029,3767161057547489001,3440397415325024520,98191357168691290,589085542350913860,125008343046429622,4999802323873960720,3833086755271499565,407790558171403114,2495491850684539458,1914238319124633024,4435648799261159601,1487482305502217355,2104284731256990084,1567347751712203248,480724546300007688,1201683548364658380,1249332276061890180,4143709912677216574,449443805145752526,2443727240682235207,983631779986930965,579850159789592625,2635767396147228165,636374196991113738,1793240514007560408,344647455590185739,2568028529404880325,2922421544389252818,173382184157440130,1644063812373833459,4074815571693948351,939295934117722665,2059002505836459515,2947203898940496348,348727498539268365,1592257534149404469,1275543060059389950,125789409957100160,2012416130018109440,4349893895305992957,2662806102901769135,2482959233962192410,936953876393289408,449103492946029391,443720711597323854,542898450890216865,3638979267717527240,266097444332696122,137993786687030568,296441886565469935,592820547937906430,2279887573792985505,79220753395170954,113160433336436580,4510915725643762383,3601015239611778006,1649125723669674475,737771274632870925,1723051628395337472,1318904565747263355,826407099604083774,3303932565014626530,2340515948656657070,545744716168062198,1890345439395572922,211565811456537549,1589280730398864405,1909840671990661245,86591535172701264,865822875272771040,2767404177128893890,3508352760705513980,3039858192337920855,2926872503739732891,2443448521546873272,1494119853663945390,3309267114448041040,2933511196085726049,463282113752181300,3706437585915315209,798477233684674962,1179856884498015360,1525200121468836442,880978053800232273,846523118424630036,1852156458369195032,2097495121009893165,4015277988519444561,520338178194852392,201910765237519113,448642593309255060,2517340874798508605,457230880297068355,1426158794860179672,3691394937435756628,1516391185027490784,86271067091984100,862618337487248600,1411270940480148882,1565018379428297595,2483928563378832968,5086277363264763555,29615380820206548,74030524254166430,906517228410297096,3037086046348174998,141154902898857270,1411397838170753220,1588280462423924595,390081728699779725,1300133124688371750,1149328824231498660,543299861941034685,2761056845595711942,1523116592809140273,1782773569010603334,933095296272863340,848116945322757423,1291468669885672952,197606528072672930,362089360451225463,1474962461620718475,2144369477784376124,2486823558044515662,2121896980438450725,4412949865341836832,2098833961266907140,1217904275064404070,2798227832435414655,5345887506009826554,938220826290617301,7853544259472375,125643223006378800,157037172829046500,2242849610946647178,79572113537931825,1025230949024124330,2754847028497652256,218510543149837029,2489462274810452328,3681067570161708372,4116775191427791960,1354720555420479846,1795461906495533738,271042591128175872,106746780332326166,1601029681575076650,1375930912164796656,319662001999695245,691344879238594665,1009773725627936031,974314388776533800,386732475251073995,898547433466273902,2002434706113311552,52889888339726232,264421008784128600,2321575503266006487,602672393754294766,1901170234637383656,2533716033512240245,739673129962031310,1192500075485840778,947404308978608008,5051172650628260043,32171018322128085,257340453509773800,123578266881972318,1029708063915536850,574619912513097663,381920474194764632,2864095223919957900,2499148620852091986,3448786979268321376,2886103345393748010,688959169753245908,2868284818292535960,2980959838281158307,3158186317342097592,1728148853684469696,3141437861786435616,979445351842388650,187275992894316418,1887993013940962362,347246987775419295,1157365227873472350,257984995935303660,141283874134434378,3296268401846278180,3239686801192690521,1974160696488286900,5285926143647255565,2268164755052107896,351124777462056678,1219453858654536345,2376837072223567296,1748402239955185950,2154926421655325410,1171466883329864124,1902763377605968451,1888315160303621616,2993487349746424590,129384378351243970,1811185827925527620,637796635007358888,1328217567127796469,345596945489005340,2195032450506035427,1157685268084218042,1880520476388155577,1149120745252234695,1316329982145921195,297534157300746006,2975020248465959940,13739122664039124,106848300719779080,610495764811416000,574799564635201612,793210937449045776,2253643640523797598,217850666681728256,1905987343764750400,1972267671880095456,1824781007390680113,3584872179654877181,1191927072061565238,3720787233826076880,1279211152148323804,209349669566593350,2996704189823801359,2848684938821766740,131146614910746345,74656494999026556,897520221982303549,365062098012453792,912556512349553520,1650769314723991945,1511964520244777637,767001888217815408,1022348504729139231,1910790078809152770,765162013343456200,338683813875378453,2387839586450008440,2057402164579731912,609695337844025772,899522627842914825,3385132068541386336,171799019545394426,2175343963309326393,1130792108108621158,698436997518918665,3425961689113289247,104632890524719812,3434820636474705656,2961419169574746240,743265873597671690,79759516076308640,1276013951722498560,361786976322296154,1605503344194494475,3779429079268675710,4007523955245714224,157539760853235672,857093611738994385,3853965058963943328,4036052954784639080,699391414186433604,549598514614098997,4548033335885593008,1280527235014756563,764798812934842640,388854192684987354,32426617011089157,2918078846595428130,823295209930099825,831251472770416920,1391547230791484214,331171450482918269,706175797056739425,2033145183315502036,1456549043636332710,3494048298846712434,1538411771966713936,312919193925518204,334842212838230226,3112052580873146120,713489620000580355,988205183915007720,265242356454390082,291454737065358528,2142113625666855630,2490893940884074475,134368754558605092,403058255701178469,4030144462622939710,2071853984301560505,1839350081728228476,600814787833383478,4386547060656379824,1144527454725820968,1786511860162110855,143826316894711259,1687409882355612192,268462389321039151,1152523817021440510,3717014059217487720,704997889074922482,2291615230612421875,2032819916873228973,4060979747134119018,1762511461500302680,3275374906049340861,574294607741576845,1586304417937194571,2137669752369851745,4788298412651901440,2824899861263673642,1258584663294925317,1559068295232042096,890042331024774552,3101566087906666920,1890934301267647888,1260085595167736740,213420318737921604,198402240071279006,759694745850940810,252251097005341416,223639992748159404,2981541592987975520,278934652439259090,1115616992420900600,653188015141496433,228192831937321194,3705222639694113279,3207628241129308912,1363058988327706920,701329558168930790,899975265122279370,1326380451084970614,2262158010508780734,931669427735178120,3392691539048751864,5173815998053222128,500714404808875066,240572989004042088,3608201025512242200,2585558894143742985,1715051421215476236,3328143088629777984,2484954504686001090,258763528175925420,1260642867642962265,159975238553098196,947998914560573835,392540962243043334,352861551567321240,2646172574133031980,701741020463021345,734467733041675776,46206520872260553,198006309923827950,150878693214722469,1005748036602027540,608033690246786544,2107040438706086282,4005194207970984840,1660219603083108879,1631142204816334923,5067257525519439294,1032938718099471449,1286762028657863300,686415429434018460,1238673224785986992,2974129353942248106,780828846197143275,167584145451053670,1833377311582966184,1936858141624027734,925625641956290875,77032002214323627,1540471445622000900,669377995014786360,732568287566007084,22159571281096470,132942872978121180,2658566374137726000,523564116912732033,3704215510106982808,856587184166889552,83782197950930523,2513190660879774150,1445981247064283648,2882994123373482075,297630669272946913,3823025076929369654,601730098006512540,2753563633626233435,247163012333954718,2059466046134580150,475725947706933898,3043940204360182710,433471998776117028,1731719678869096655,2572569475871786370,316753269433196568,3167185368422322800,1592937673557150290,1067910116328584235,2186552694658082828,364008030447310300,2428210893866152440,19762858345557570,131737934019176200,329308698756400500,1834606265092453755,196333324184584270,1015934109878628003,957274489955519136,1150676551910927022,1803563875761124842,5244253514824579830,1501393927854033868,955986286304095296,2357289617981178068,886824491633907154,783447193102687740,996895348773989343,853813091464780496,1912247724428801406,966468157607539230,2803329948184456320,3368998776810390462,1020021184913040198,3170207859152444682,889432274398502628,640658520728241105,1285195650582127516,1706793300863256105,247897756728250803,1108847481990608915,808507984633278630,832199850906902816,2139779862576302968,1545792219679446828,1595042068678600720,169399524836506675,971616639514736232,52156092664208032,2086014160072257280,768108138799505328,653133365156160090,3393374336647122121,73324976590674504,1649630374189565940,89258766444249036,1115611749095550750,2525821662008400174,2358490837795629648,2800505296709936478,445038859790837881,913629932377306940,2374060551257033895,2635185177222475245,446822780942589626,1984834882663347528,139636178322273740,95432335814135873,3164516840784894363,3018289875257908830,1050747678937092770,882137274591990645,3184650663724926732,977961026507123912,358058854067719680,797288557456946611,2683920361942635775,2204752083759495336,375206025982242892,336036795092123267,3158596525727857455,4504089217973283225,762344936370480776,604945501623769266,1626353450573798748,2282879400874958340,1421535890062468740,2733643416539961375,110373708789528486,551807627778280530,107165237573610687,3293190437354492185,4472593822995741909,322870926709832972,3711761644054515066,2075388320575097352,1527703415297136560,644267640149750814,2418361598946881427,4065151185502866855,312968037852816581,763565340879339750,215314474956224328,234707103265832594,4012330771285709649,659846429383259914,1790713671558073350,2920630259480468610,882122814634709866,1265628822343159914,1858169968923074274,880654959014122575,1893561179907930615,1322937454326500124,182088696995869842,1865140040044409298,333371740142862225,4094101775023761224,322763702940458466,924702525795822180,4112294934539189512,2429657236290178930,3803560699042007640,4489881607611381032,886907058138142252,1682212338879239676,96376534914170945,275331040456769620,896272305774164070,4166612685787360998,3391322791116730122,1063004154441553980,2110240070183336336,2199032982388402632,351354685705804116,3513157588307262840,933957439187137760,540552025907970009,139614860921616318,2093990818296578670,1598736519248303637,3825014996789774830,168869849354448134,739876881197234601,378639104764499490,159696747171983383,3215423255684986080,434643428029648758,164861097736152499,3631705229007862272,1076892994401925323,46516164351047860,465110037131837160,134803371674641414,616326445881720456,867437700817343415,3246871733938665360,81058577098338894,405247899328409430,1890434344718878248,4950307268605855719,922543925365095915,750184386026012496,230232350582676776,1151033915804661480,1944878081128606435,2814164081320666320,438900092820874935,1896226944896896668,324963076955698468,1080244981475179740,2220472959298780690,772821239577539940,869454826141868946,515553115988481208,1172617933354562952,839062554559980075,1461545898067092048,217562407275777392,3939561395368703976,1462197343685521986,1302767906306989230,176745255080468061,2886468129630801120,3762532752379426197,80925971527214655,971003623673210100,3858537511339448814,869643744474850653,477375454510446816,1591074433395938880,1642130631227508120,247377799770748234,48112392469938004,3848562925555283520,510038296296117336,5099815093157175600,1916020504919112282,1784547915711235720,1346006619751707123,2633554658946086568,2258378210440506875,1543648372782708390,1186973198263096668,197292821273908991,960656818057280995,844325571024563490,1321593948069210456,422429280869705791,638945847204852591,699994088735954598,2293591492614217420,791549203934442174,1197974706303384876,2176103144758837610,806680546444314924,952326387741037460,28865218604410206,673446644348160060,738718732368408314,413935646757455424,1752264676955596590,847693082586351045,1531577767397558712,733068105193810032,111711458565440338,524852664999244655,1022743302933016068,2639736771869802612,1532984328908782974,828228967280080578,4718733751817065440,1144184395558334634,1580845967074840932,1206066824296914276,3293632507837810026,5078960978939580915,319966726766499817,242588587088191965,181506413268979254,82450012750323078,274802664112209100,1533598530588501648,718710853481888255,2042922674312505792,189840706983324012,880233376708698355,379181473105103280,167594520157313637,494522631802633764,660783056076252672,3878166459451132935,1053934626846307086,2878272117491225020,443314009832428023,1505474339230673205,59835357468039875,24592104665863479,409822546119035850,1147980859646711885,526031259903527349,541122703831969590,308367836458391241,2190423125700524535,2023730200841520712,1197947065810368174,2128684977777972840,32510543545701874,975207077646778380,2679414484817653884,340573633740369701,2297649396039269375,2826546516506794086,3522913042354600914,2850804982792442565,2806035350611459869,950325525946139160,368488147665545856,2046926920996588800,2246291469328988888,1271839627875603428,236717402201404725,13152390706275422,789054955280833080,1106639455006932432,826647812038443624,301862324643314265,388694150581880775,946289516923893135,128435044314947571,650303012688654456,1983485817425598420,1279617547130225770,832377753305910432,2859917636197309509,239422370904546155,351144008415585360,2194403683006709100,829888679976385287,2500286847196837068,223660137303120204,559087552924916850,2449355911797914136,756490510876616490,693600578807715392,559962711550997526,3164524052279691990,2063549993349610355,176103469229910381,978242669675348950,1178931158323311414,1025426334089450325,1164963049991501636,4532016630817190544,387426342847194783,2137509802499226768,44935054069009830,2695800084939137880,3510361348590070881,1919842665585839660,323654606652077958,1841074937919036450,1112851076566442920,438872972736008688,1748437521941437324,1085506140573764684,2599163169289188390,599523946203435894,725911149194784873,468427380062136948,586050735595775469,1778919059665467585,883707961755146676,4084124312860030899,1769321716814214396,2953735455962562489,1071492692568341625,374171696853580728,155208434356656588,3491796388388907330,743288507108560916,208726586049169830,1000738958883338667,3719984157185048955,127158784143124347,3814333590421493190,592516281517927940,938444882298218928,622062913293015975,321241224302464491,292265871169843905,8622636396081825,28738880139496150,1149425562286794000,538465954985968148,788421352103255982,293527558281424920,1802881865973025476,436567412083727875,289672012917628227,2252797588467373288,382264641483236695,2585712784591241664,2213898426518781135,2224612511347348215,698176109755924110,1382324976930379260,4440813298109784952,916327810534482729,1124404769064242120,720199920445349328,140194606346768040,118385169090890153,112993159020485784,941503282552408200,271719928879245398,193955156558271360,1735139791469507841,1632361653978765579,202157535340325763,826199647912631187,3023813709577064745,4051434782570080005,1714361827744584276,853542514010970516,3109238029092304632,3569239741991755320,1904968939789652472,110234959568748836,4166676664062890616,5014441902122630766,2037856135685804670,1960309974010465740,2009618461740537168,374985611866830176,263457281759534718,1397496084104838240,2345215212856171956,3387669371337817776,337956402328066998,2641283659196736880,56558048303127795,4524131519170194160,2151481047628455565,1198233400048754445,149684540129076644,840326931730779775,3640349067338948412,2235123661260640704,366497966667196203,1476053596740766464,945236231525800935,1881061160205839452,190861105932308358,112769703208256054,4510276801634458640,2524015569654765270,149368656068384291,2341846314558053548,3136172275118447775,1697083666762078564,187220815865937335,537330813798705036,1478911940641785632,889290519606542648,4792167912623963157,907221843400969960,4440048655091773464,679978654906094766,4551314504462738685,1280635069477333422,871562018633233740,3543723118911310312,2277972341555054274,2930337544081319568,1091176756408852035,1169241463493775560,2054735309321443704,2043578089906654224,2417649768040720480,210440644629700584,1110744796985431995,1642324349358902356,69088432780362936,1036208734201294440,3955592380088366605,1354204184663833335,4234025694178264509,670646266110800528,1825353272877856449,2084757767898179934,639130277747204075,3021197318445131667,1411734499087366815,794609976954444714,305745633786106293,688668510337636300,567630120937293336,1451826760257556929,2020867205345257914,3089851354046007354,4287081206293944720,1520019310753804923,535660344972408084,839121543082038465,1575770232160585068,389886882307418370,587768528188299384,1425835756861605063,3022678060884348888,855397862532799803,1640956582416035310,2286294560170915336,554051543908399218,2145717895563527418,970716555296382144,247621880707148040,260242620337303938,433688275250017470,924102069751999377,608763112783085925,1817609809254345090,915552545864532030,3377818883397688056,1810778658111809412,1279725756203799855,543430180240927720,3753205050078614268,1309763512236087171,1832879755698645744,541985603773314525,741021485257784385,994546191129176172,187837144020647518,154670300553076401,1590665659988636064,530023384787215230,1178446505077637343,1446919046391745116,918337284386107268,4007123623127467437,4459824786575332360,1633614779401658948,596079176122931661,353577787519608508,620137877828714266,231790036193961825,207554141547080298,691768103119692540,57902309062137540,115791386597806920,99168990520343490,220350350751742920,4755379463098677243,871413493060271511,590973076785116736,2058943720233765525,106498740596773351,4427485908870253293,1008024776376490578,1487218881081349215,2250116502377625540,1569004211773377190,824019981790000215,2281500688967633190,4997067486776077509,1200219943744849635,4530207287487065184,2046805374795750132,1616429234401006578,2144248293340101303,657581751307204290,2203734990606616878,1444975489280124432,120517390808222828,245668756727298664,338861408181207240,847056507557815660,1167534435605213445,437503777373412522,486059626033764820,577414287519322080,179911841726008530,2398549713328051600,1275685500512063565,824869548361642428,2789358581978616120,561455048706168288,1155141859982751285,132236779611017290,528886479167803240,1805406263708057100,1303534672699670586,450256626730764423,2876415826246980672,172106063789333678,86029797522382335,573466194206028540,1926817109542423335,2158805701130201160,2281331873832771837,2856933599691357375,815128615509227199,671235448892866734,2531175844460365775,1006005921088058388,1884831466279691760,1076716849216420048,3588218067721883706,2844726747929495910,1689390284143416741,2527864117188539475,1500128651923572402,1781092033183180144,2337088010347038445,120103957324033374,187945813729083330,516176694260019207,4468051813298577,357403066945568560,446702487604568300,3394402606739394495,2389727420807068432,1147776044670514760,1189393278921308016,521804925595214300,1004502183509681160,4297305978770114448,1535625900671261598,1715856196814447388,165380392561339215,367469705544844500,930271087468937613,963878317816708920,447371409633761122,532946602237978829,1310890622027451570,2406526667500350595,1083972234466844344,3952142081307448632,1253581009214313753,1028382929217086675,2479738427789593593,137906216030278552,1954487321084443152,869521339222872360,186728757000524825,746828987960121980,2652044119556148816,479825495915020755,787405108470282402,2856205513527744960,1184428394350017306,3350574394360326444,4354746239883200787,2137998366777016198,885479333832419700,514102189283823159,85988320606653186,3869028234576110070,1338668765533318764,4122857966114673000,173682386041560291,115374356612192943,640894705837821350,1198339698133454928,3294299836687345290,2386324075363338042,3494255455269635832,2440389043650023010,710860311364794808,1124861893644205010,475825049775576966,1875867074915210208,748938085713785412,1067142708005030772,3253785100027490160,332321573757386343,542534795954765817,339626139348844223,30986198961590140,495721907886158400,383362124066707821,4928372076421677330,1572711672158552052,2718054163889505240,2126978384703392970,315246639562235136,1341613582083263742,3126134419987639014,654935204989321785,1268847853831832120,1079491078521107091,142203636678853248,587616753770966108,2727511357700014688,51174174694453260,255841273467790180,2727301067303231412,1691647484537931720,423393579072395269,1153679422041150140,331575923312593125,199260797764901854,3029664340049678709,3075128805374027448,2783830535491163280,133709764657061304,1685644767247917072,2088258749594001805,1880931570246201048,496000961111176350,3861263093295140577,1050741760847702697,1131322266860823648,526218925144318184,570602705215536930,1070966134416811245,3179989615354377217,129313463257440918,430994915072671140,2241313613897029710,2532981511263148876,245281445313192822,1021140392383830640,356013018080138189,1692418329266201820,389213641030582198,260398103485380941,713360967428405556,981421630811343390,277757667955062315,4779341108963217018,1281810671023875815,2223400379864608406,2952995178446654280,2261382218881386160,2544176136014117370,2804931282415093011,1242953275299461100,1509289856994344575,426781016004169050,3607595914762361912,44543094346404132,890758415336772240,3811610897717355663,398747524065914445,314868256075660605,207454715246871321,261977444501261394,188971974181826376,625652871041242545,1618053529804785236,493442517227688396,566104220522537620,107685036233508114,478544515649504400,305483320347268824,1222553572237870962,3221693668462729869,1104306117352706840,3705517335877650055,1796054353613051259,1309413225795128072,4282222819084475985,282233047718048814,151820146767931050,1012016523138684200,878725900852851384,1197207777491013735,635751799951260468,3976947840071003535,4551048275489644869,52348827755832586,2355422936732417970,381815954668635792,3259070684451918210,1303977165417956148,1121587798975661046,387228423209996122,2345676558084495621,2235296724031321020,750539145509404476,2417147550493445052,967450117944132152,371860418761268544,371504442073457955,1467088901537845312,959537551301814306,2862091130659279785,918893013284817155,328865488169294330,3701878454537167212,2425813621614743427,2324813071688985890,568383407199827532,1111134765940219575,550041980768480919,1453375431744446439,1932389417063297230,4172494399804742224,1611564007161090360,343227023869343039,270822029368196616,345767133136426137,1048070662258491792,458207124842837790,3563417020363843020,241600838836218999,1989596526724497096,521590361178145164,1527988789402640480,962881576567534636,363585518457956796,1490627240239169210,1000718375270227725,332940381493246065,3293413252595935230,4362866679099240117,2399537189347909956,431873739518049644,3666569030882583735,708195907814219451,1102773481014002384,267170456840185134,3595053055848700416,49789576236935640,1991350078016900160,535331241221759016,711003156643204126,1341199725526714368,102341017148767740,1315659090035510280,1758533077732933870,1497176562227923056,1240156776582333714,2816254149972539255,838127613772367226,574799262453846568,906246947513441925,3166064620411048881,173427643234739780,2501106830636322424,2480453853801356685,652439722355590116,1535801552284091367,1183426425010421505,206616958023746856,403901426762460591,804673468338949995,2005602698520768624,58188003183519690,2618153179292791530,701489065790284675,1477876926296918420,1313453632408969275,1509720954070008855,3473527046427394593,2673618849848475030,366959483817664073,1049359446087361944,178466010612051930,375453610568613987,726476570998930520,346842568655456634,150587813878111758,1200062735914107030,912185045858900457,1580380887199896832,2855767437806579109,409798995005777205,2069084046045719565,355634703233275128,1346385269525857788,258204852292411160,3098094269371738080,1158968225814784470,2475065071589484051,4873523499749917962,4017769761983816997,385670204686736912,3856248786538479200,2431962157981006944,190632628573804819,2008678617340193288,304122701492501442,283155744288679975,221505196656474045,1307955565230616029,1071218261227021055,3906676244839870712,3311160861332936430,320444190326880044,3140346254626148365,309957576000432984,1566905443359332251,207574659442734420,691834100876864040,925053760904878812,1760700814974278296,2733945561176880855,4096929122942850760,498031816922464731,34356401447759844,772928001673540290,1233587574285575772,1994253056519287950,89104947361586672,222736126732913720,161354683889666568,537785576035853040,1955692332977705680,2938783176490315104,4491500941576020024,42420155771863883,2969060890869208590,393829633085633235,819897008454153459,2891366906634244776,1904164743189424152,3412316286449141960,3359792390974544280,2838242939030585688,1262591776972746960,2299968289493785596,2160827128160591340,4147912828484066205,217165293216250854,2624674423175960455,2479415439221024104,2132689364290547910,2360744814157342020,1713976197973128368,889914568291086978,554323193012010114,607272190342429077,884552965150593585,1169156715171850272,25507661254872081,1020185931954873240,2505927229738579024,1458003398075061650,176092294107449295,585835551816054105,607708961516723872,1059133260545347815,3800408342410862520,1476905875299380936,2846723456761586934,234041113280219109,451649878133766906,2053294003317581550,1376178666516706355,48066341442196275,480606564228342750,3553811634189197402,1378827849071651805,2189817730758064380,16361515494615744,163595794998003840,2453646534723158400,1048549002527649940,1738336435109291768,2597214257731995795,550804829236552926,172567424073747880,1509786182924580750,517693880857166639,1561461501837940338,2922226856353031346,2459810710610002687,474750662799922760,1327071886384802964,773605837423216743,3160061014471135344,645791311608236655,800007160399755840,2539832603800275903,1417579973108442288,540821238723839244,521964819313964752,310514532611979495,2268886750682129910,509462252263557372,187249399612038333,236876241820881759,376425026267595140,2222047131171120171,1155586570399970792,985543635389575290,39759668079000495,79509900538385650,250325307294113513,1622485890591152490,3652854263245600805,1904249946427771962,1805076840062001900,1258456894755091152,1937205201491218376,4397605150916397204,1597048733794847472,425984799060427395,2706665597219807586,317652684172369812,4002137596882251952,860202119010221976,2125401417218648820,2516897056941145242,1944063721869959445,247801308641209617,2259120731970030984,956770226752523175,4156518153311262264,1220517791853589572,1673216362144365825,695010367250279584,325531157803434405,3237629708662405470,4575725849608849917,1774103913679699467,684763394947767858,1332611246061437440,336086977596304581,2240313238867762260,2388701510635099810,1309370185684129692,24186688098279840,967352362184328960,1740753271773599356,1586693158755544740,3695093617015893080,843116141717247870,199152670912004010,3628912793444634696,1598975042764248208,2982208683085847832,476294837975318780,3853813029960705696,3426843683401676223,60352900962865989,1206914173340910420,1160223510292216695,537620118586649217,906208149299192188,699774902603750526,3208122208164082461,505905927014347180,1094159951869274136,1201170170100466746,1947936968327010681,382592464798902,19127341336028500,153000476022720800,2677188883653186000,354347552128404321,2755707642722352570,609725508825742140,886336592420816832,107815893376738136,1075354960742683434,1540616143335151041,1091041488659108580,26481865364579085,2118296246981561200,974866319360710176,98404758188374869,140561434671013950,2280410644648985282,37413577190087364,374091071537017240,1005208153858636436,1417619719945516680,919619786515628934,367783802238840155,1764345426935365248,191538751029829328,418322873746637705,408385183288148991,1856828526393834474,1995146371575850875,216825999827724201,24529024267364740,858413158931630540,297095182317664548,815633781990516108,2762528500792372509,752100271970240250,2115070574674059792,1762792503150444372,792853859217801648,1810379038986815292,1095449445353269450,339627755617390728,1509275963497379520,12129926121218018,242569470807234840,410302568782395030,437558563598944419,2296061951024217024,495148349079206232,486910320238594698,2190198633634584840,346616648829140515,1980429207818654200,226825581621955506,236868256341706224,109553238593286710,52209511426968915,313219512134589210,506810053485079107,701712776564387991,1335306914579486590,889628312435585457,1684266665048447670,122735470238787185,307441387197189632,463664531460663810,2745377789811822112,848036901034262408,510380387538141831,826195511442203601,287477147794912900,1093883659446787758,642707238099147063,4802477120103009069,510549344440133397,280564116829082945,752702442120951810,1277784300000086928,1088304086471507205,66472177951985324,2658567690929133600,108916793632985518,17867939613659394,357315849265432680,359994007432255878,1161475403940461790,2966204282615258751,754286865614863128,1513986637652354585,3167449129484732655,308546308252129380,410065071109621595,1066710541113511947,1038041596328643936,1505089205350570188,2953504740825346560,3383341765901104546,63568462179100719,1694955015335117040,3604766639159516383,3052884293186777055,1113077972794421448,1260067107663612005,1914485723858497390,714613863402253368,2872439901726710840,1929373370979306740,602244559718295645,819122100021055824,297343976101035786,1520826969373449375,1118078525859852495,4720964453758961388,2212855166702722965,784843772012387670,502574901221413610,1571964065785028139,112059663669365358,431390642083022032,53718482048546367,477440048538008400,254608384362693172,103432482065204637,4010021125620079176,863893484317999548,84592950848427510,2537482391747213580,1089431196682513545,2454451808047044420,345765158688212691,349665477633253840,1366499686696231452,221622816397731392,693933132737537184,670142419334879766,943500849782902080,1016175171733651092,1167331013483304852,516115406630535730,4073295926226792438,2163982476882580320,45697631898269305,2741526688806053700,1892166129638897976,3466673406370177535,839940283183003975,596882261573764593,2248263980632117539,23370925155354132,934724004015618720,1270061750794105320,3661478950473374023,4052646271328464827,1779652092235040562,418229656883736112,3258849814199237895,2041590153737389670,367344592922240519,1466424334065540996,670664782748234082,169495234304116980,309685151357229537,688105940409773740,515691989205475564,2741358631356383472,1631910301451930200,658509633757744144,2636246506093058943,1671141250414696530,269869023478111430,867973873187087280,1461444273488730450,1581223629469672590,1540152589478117895,732347325808092514,1450941402380750340,489958773492923259,681507963512488428,115318053049506471,283016547942264828,3725886152776941945,2608879587168166206,228675567710888172,510303597509725644,2570981749988805384,276790664122844760,1186101833250165840,1005317785705955716,2785268229698247846,1665037291667560506,131499273106078625,773012954855996928,2773976168361060408,3160880292599988608,1511400601085259366,810794179602229740,355655948345227171,386950072953010692,688423688720574836,136646199546081179,310288281598273260,3239650116935643075,3640539079712402694,2449099937837787003,2654437988373296544,303089287829031660,4140215654716103274,1516960524084690544,398015111632581836,2804940021770138538,455429916871833890,670712979406645208,379500037564276284,1894549175419706466,2086665436407050820,4253841880257541005,510091028453720774,3222570858680103957,2095494944660450760,1005957917638866402,1443407961244004475,1519057034617331610,3400633416534410544,38038159836821396,1141005919180758120,1062723940600915215,383958061853997768,908631684388040376,832329858631710040,774195520142512791,1336125846650509620,1654253987948389332,1299886984267609155,3967215284814841104,903967602737374348,469802246057230110,2057693316435229944,3716215313981113017,2248224502788711295,1167459087762267096,873268695219239775,2552927661208454535,1258071026830655310,4687059068585075799,2883297299756231202,78826964921818995,1578703630152994878,17672175202650915,294500330642622750,256258613542121492,578841226853573025,972620916006050784,93641605562738982,624201196674521480,4481143678739725335,774361604084566635,4349035855699602138,112504105540689213,457966267575266664,2150639395500168207,878002834658962410,1835032933986091710,1313564469322601655,1676426560663788234,872270138529415617,2304096156064501400,1304441884389081825,3082302116351693268,1694841569372385652,431225698211260146,3353567770852809300,158242163938780374,1606332224290308282,60252644251049955,158377335352483346,1880128035919854735,279551817216741580,1054331325011539362,1691813744776103139,1242921489447389276,2955133188836920050,657817669610622981,913030685590160502,1474998039038582361,637315524873844641,33883157331231370,338790105128129020,1517345318792420892,2195623874993361040,1061363496389934920,301537365520678380,1005001482660302760,433835217704438284,645718336323174144,570128180431910246,1925492355823386600,957426573806391366,60271900037205082,485495476214704482,2586551987737861677,1062350120489660300,191449966160831260,2392831264792859250,461946598281162515,2012171173451017315,1874382247874860425,898017658035163479,3335647593216401939,374080038396261915,2043379580547154347,1490354600050603760,2400157820734781352,3560913530069316255,1864148626421436174,4526999900956613025,687196020004147890,1248341455613665392,2589479226513972525,988526408055595666,258540735410179997,2015187194701631880,355014795786986157,2999772326613937224,866667558391964952,1186853583403115916,3760512173675086635,18313500727405674,183112510064884260,2171706541484215608,231115227299151510,1044585571897851840,970133231067017328,173403875396513814,701387044420682444,1559718275213108632,391312448209447215,555067371456602442,357615891251374750,921354121695155964,906650781140490888,1521313783133144960,1033385664300509277,330685329318689452,193319691282604042,1882935926430034695,805925703116674110,2445746415305708768,2782866945475152450,3914066949148936528,2031644363181500673,1467793424179161360,558968902481675178,1624803432694291960,1904422716108977604,388397109744914708,452784647597604705,383090975069551854,818845832682052476,3945368642526920088,270603535459419657,817981368445562825,531957778783003264,1177787142570028536,3205930806135815175,2739723319528946688,852077459279363280,120768496612371144,172890257477413574,1238384346968223357,434632710426990898,730585660905668190,47147804251465530,754271814647137120,2554699575703632462,122295994974638214,378367549497606020,1706788516721923895,2191316456343132804,151688899978873610,910021059587410140,901120266012001050,1868024459308047370,726142812212770614,1064901462349686624,1807202903559086392,582074057376028710,783347019155820738,1519594538227713695,458894966733609375,922045683260399628,3862471017422973920,1668237450088081563,306181840088396001,2898689527586832570,950702971047864885,2127349704974443290,3166111806704775936,2794239492892856792,767705453914533498,1617520051124453497,249581601691321070,869773335183345024,1820777624009810368,1509057114323822196,765385194131792736,1325138485782180615,2383112892861162032,3641923436815580355,3988050388675669341,2821095675685617426,140016915133407090,1866661084945937520,323873505108553257,359814892138145730,3070450487669901588,3907316589040419960,767234729186447661,3003533430650427948,1135858408046552289,1125997815515558346,334596140238039365,786780508642873944,372327061601554185,72304556583529508,1445911893673681840,1065146643386805660,473614606410544025,867225463671262354,228106690587303006,454594452507008224,877832898336536880,1271993042306240388,1547155483042777416,1102358113498594156,380572821333988650,727317594222033630,410887217760772689,3195392887249387230,2309450949895711380,11137186948753161,222716089712990700,3340326619796451300,739222870850143494,206924017017228264,96577604963721860,1158787334283097200,2759423744817533703,1067886357507507237,3889637208912577216,2020428785788708296,2385408206266745850,974879840857802562,355496581481552244,1507146912724387708,1664409465559281879,2825665698760970535,207953113196754024,1089006307436289942,2241649840520728728,733202678556058515,796218069606440340,1604990070343820604,1299220828873124757,1202659553798475830,360441530166890472,237599321102324415,1847764773003783270,507398781738539610,1673345888560171935,843946450035464844,1812926278876787025,72149999520020330,1082115252849229050,65191351540302678,2607329348670372880,1372594831932749810,2576765098840455594,634588891620753378,666136025526813552,919472304568676652,257885208546318070,56424253642550370,2256688891555729200,270826544976220535,951376028125585290,112001196909467130,451712145332605257,1505519428764967710,431202881323774473,1645341873914201638,312228310580979320,522596208764159184,143799127798063677,2096048362926285220,1059058288392069456,158236537269509910,274182068700598695,353238609319444143,3531945244899162330,2530180712414009627,416783751934907880,84852515457914281,242405490722548340,1167266847678985404,3774554111938792851,1126034550431407710,1404256133547788076,1532437519323875440,86415983468887332,288017291703399960,1270392163311707130,675398139769210896,1476014838317571159,115719325308813201,846684888749274936,1975788055929731550,3169603248180688408,2849500139165453823,16998802457610972,424916920225656700,1026423818451255015,751695967058400576,1440561213051212623,224830270529268784,1124010715151752080,819992287398438075,393877072239637530,2686278500649204786,839885461243741492,999471567177105988,413734719389237910,81724653316354484,620639203945900194,62240550267390912,462519475314664972,1000197819450845820,2077667500967405130,205511705941039832,43626128127440562,436206625848756180,3088441510453062470,361478091640371964,638974857148479981,407512842571868154,104447408405643536,522171578608582800,2053748088343429002,2425160312994463050,4506845403136583601,2731580843271364602,920042525897445,82793441864508930,91981174139712300,414203982066736417,490442664182610870,950793436952734310,1850863763115839763,282418907507993424,1764896640713497900,498678865763902778,2203631380544758725,1100486385548742702,133375612377401789,2590976695314463872,209544856863848758,610075616450805760,773491933721435049,274795343645157025,314862334358630709,3148227766588065210,3231107862979055780,152255923149251854,513792345837709494,332618256317931185,4275982905246769050,427232260001262990,119755688587751262,189464532535507934,1148053567309917723,1497274522580977455,475268492829149375,1749042635542089816,514236095701625034,1625060592055367208,50882387460615126,1017519704346514200,370901737933177898,2065580734490919306,3380461380533591936,1594881347996338752,967818015023568930,1242903217986704628,443717514819070860,1921830359558130285,322919560704988151,1694445448878087040,426884853035528208,246679816806406856,455925233865134268,538060199415963504,2379672603972665470,768801028335890996,326809998203574309,507489082780778584,77467637930098935,258192907336688250,212801060314921545,1243060607062978422,126954046117216596,663730676921482665,2911792097057087340,896047448921151432,465639022836093216,321138065073906868,201210265898506218,50326337412762480,503199865707806880,230410986825365028,223741200132427071,244398783815217833,2632128916210635420,753703268636559928,1300959771853007145,385205076047206500,461896407905271123,329994611639439885,882961812678454344,2880839430411479802,2647064749697979507,1749679673250300540,2581083041249512030,1280531681273809727,327634236603936501,2187013862290585216,1852894271608751960,1573150403939030850,288980212631759236,3110617289058414898,1326915554838198948,3377012776095394432,441744309154766480,626295543654902076,615745934851417356,1518931994975235868,298742845697580201,977437967874041750,2731007040821871259,808332177438870798,226682839748733530,2266541443045279700,115073246703061485,2301173539689240420,2041426460579151234,2441902402558100952,535807035673340368,798922898749620465,503654602715082585,363826307387933522,1934207107863085986,922331510239935072,1242658499778556880,800266796477185226,437730647898076542,461860443188745834,527329100403331428,1606758177634263300,892304544815770952,1661632558064472336,1903050565942321140,318573834806565491,1377726232957559660,3317034690225513663,512765530728199126,148039797085719830,726815241664793019,2587976824765195620,2317641022034963828,2272429244844197754,2343885073309130598,814791998734207165,1182525469272512820,984671123588020095,3816866237479630968,295093653249995973,1858214037151046540,853493035826575975,1077716105979190095,668438562161754792,180036979694704371,618966736067727378,1021535524408475520,989632168351437842,1260562906943226162,2054481431296237524,1184744945736744208,1915802353781991900,2567213826462000696,1842596499877277856,2541457014463096224,795560450549033032,19412872660807600,310566448201301760,1164476006556158400,2045393164350945345,736527155957280324,1178187293039764550,1864119869618173360,515036468539596978,96422254020731075,468476436368208363,448251445346702490,1294916450301605510,898663365931561320,132444271820323644,1668291740178437630,729380021411608460,180163982040388971,2212382289435287627,379621246906274464,1651548894555945156,1013470262365069140,408606389228326238,317795126015061390,563076725249411628,2508950444083220856,1568978419262303280,2103269256969045856,1094187928447234705,318608896215802404,906177099024423249,435310086696924640,348828979114582281,28637815418475949,286341610245692890,3681065153129753700,963791230820906880,3110628004627568848,1723154858751120876,713969011450596532,566360077769781105,580958152741818240,465000014409442186,1037645677523724515,101110828714172178,217327294716680934,1207219612317285500,3086802055194743004,3243379814253154912,971671975940162765,927587185091720178,1600035027426121160,251006984483128758,1673165971241432280,1944063353677619310,282977967205406008,1463220462868296300,835866639935311684,714079668562193028,819654165489844776,394956487872368560,594808853827685610,176371476332015952,979716151470357600,1930104384598908564,1185732079700645061,15194444967136790,911549993275084440,172623918856328484,1294513624332567330,2278612076860660344,2838061495425969480,315361905667984233,474379933945099868,1116061300396141902,1926435120496924995,1648552514191172140,1137935238710579964,1266916839627925773,2046275862510903422,3267759447700160385,2225693594554054155,69006914930938140,517485506641897950,503707608110059242,318676771151147275,292877630196211710,3378621822786405272,1638478978488610652,682075636165575624,1399360602343137234,739790931626678140,2122343535680577288,200627196875970575,402271394621735682,446910844028680620,510326014125638655,153631006100718326,1111914920739539148,988069926496134315,1767162866055076940,313948766734111305,533676340936595648,1595220210759187503,1212555296887246284,279526604000641944,1326183996628160415,28885739988136914,1299691241681233770,3256012626540244298,987779559732203508,182661932088777800,2054682532018258650,652302621581822976,980002500822730986,996618235950980034,1939810370216172150,2284726430647739355,169489954748520903,2055706197140546919,987148209326640006,1433143494980534920,1136956190937564417,475497042382900473,716758171654360746,1523792489739719052,1563104227150926740,2517340199904559908,355731281350123515,139960289940174969,423292829906228396,1641833812313023200,1778047894548753290,1124027716523557432,1716906841417727616,2338255566784837584,482776227431625385,2631096627767299242,484099565320722006,4075910773574155047,423836672383578051,875719555662620320,4315932252840897576,3277053197212764984,1189850989356310356,137362810887258208,1030088188958547600,96836616448500404,968241226443418760,3309652929201022656,1730969006489901885,379926796322677345,392001392382068931,586481683592609976,985803169936068748,63440933878405890,1902982271887309500,1265091061585221090,196656601807587810,21341611673656328,213388549757677520,94570941477408210,2757198295307708358,1766514383501247944,264143312653283718,1694102753952413480,348285589484217340,567964540896312018,822137172929870090,900950088901551384,2788890315070812768,1298024625081518110,2386813961223087054,473004984182377230,921173826035608874,1666924630668536659,3082185904694796690,328875722008189893,730740370074345460,2324891430580357521,316516207854160450,638961665918083825,1540804296412393980,1382360588180183696,2189664046154238728,313674424260994755,458106221043794760,2113773118581066072,394635049680606327,693122605800878768,300354693548880764,2399001387730107345,977426956791704180,90837907245555340,1816522694665738800,1337711869423715648,440325942824773730,239864314453154085,1918665728751198920,1327367379141451329,212886437327679231,1581461280720700785,2922864481176425298,346320286854753342,709434402755751801,2133618727245696621,295749075010583160,28863264005389989,1731571093588342860,2350269973963931925,1762761542599986835,1009475259858988545,1428261660210714228,3731126008288802517,282828174879613906,2485633680947665530,1404294221544452950,2766458873206147735,821231051042780154,429882737066406847,877898063759262108,238746719746084725,1432294160767556310,3902859557522283627,1435899058539405138,893587852197726394,645042037970208475,325963912323444816,2574138096851602414,1519529077275544195,1331403102220399812,33967748381047565,2377433084304879230,222206801005465731,987457289517567960,304737651865514575,255967504445634210,2852746086846705264,2252669700962508976,3684142545213235095,243665732294023614,61690269239772850,1233644730736864200,1780811912858077278,164333876181721704,334299076865924865,187725272818826555,434838707431339559,87503338074248052,1749838728024880240,1324361599267086960,492029621064529950,288886909585424825,194702226647057254,25629355440305808,384390209497374480,320814553247922510,2617165089139971024,2344943035149339852,611595257642545284,1795972956073210827,607033834237267760,1115637645167013812,390123781294691505,317296360232795130,1084396728763541011,772348697442083055,1298425241209056444,12844411178408883,171236456713958040,2140176230378209500,2676175288134090240,736440320212432635,283217223551587048,2831802293850876880,186498954541563561,1284068925455440545,4040189842709743866,717883164237685812,1433254403896709324,928264874404675164,811959390948595740,2079076010047378596,1187711376172242924,656317284066391680,355773835257842666,627897501736226505,539520584624146026,1818480336761631605,869473736360599767,237407286787155264,1186881121289739200,397497471812191112,151701308133885336,2654425437012558580,1790025877187536484,351140075599492290,2904196604322244041,1806368908086170560,1349910762665143545,312435892527247025,1819204781776484060,1909050704125274205,212014214988880058,1901151923945303232,814956157762045968,773989629234217320,2015256702279927156,179794183762978641,199745130471422390,630451412740732464,1695232250011232220,2969925581554946658,2147223186900703180,5102113602438933,153043333508699610,202027761723695130,2020012601332170780,225940564570521493,1290919544383180360,2959501907709909744,2197412381502299010,988962541029523683,2201480891519385960,596133646060930815,1442538240390349896,200062361297697000,1250225571674963750,974724554743777080,801173190979560852,2340552067295870600,217474603142292840,1745894744030861781,1053783821637321795,1100768781851587320,2703343289480553708,152379570910927330,491562851762256395,296395247046748536,2304993300420671280,2657838175421006988,1244379421347789960,785541554750874654,719249065817156248,2185377421487728392,716777630747182150,1831834562992572495,976851766947642900,627938675155940265,223272831118666427,1005912621282961566,132239074956024340,991662507422411430,921069537892519524,1692227462774616365,198648297622138713,376331510816232210,459872865592562589,334074029122226643,121273048005482895,2182627286793396990,341051808572454150,189622396139825166,4178697539537856,83562936362085120,208879805716099200,586160282530705260,242894595219479888,2428625707305868320,787203867932301688,529287136978217744,1981369052884052685,1862422425466887380,799632855436955206,1938219156589604814,1049610584523556928,1041518112020185900,1923702815532681720,83268404791163470,2497722425546951100,1915179810491450220,408541150929851520,114969269705625579,1532721184406465880,108014659265099112,67903124917510153,620715218156773965,904404386128037310,785668931089232442,1377271581040959174,229476593624395678,815127465881633440,1056298359703238484,751984383799581208,3278229591311611629,878575275136137114,1346204051226965205,244597145857081047,1719638138968611135,280478244276184918,2759269810060385736,1791310952692936725,2563870455543898629,157553105529142064,225046082832133920,1833772993001689860,743064156318081470,2098683497911271655,2588940455425752516,473423106930863838,318393498252246783,2524507693720230260,1252201730391454644,2463743419772436576,1287616832811729510,1118736805668108475,1782551186958335850,1643393467592720466,2330492500351557450,247601081408732292,894018544423370238,160535087799117130,391518119739558318,156816370669726156,2828785070809242963,2925366869686123512,865426512276751260,708568980071110809,73268451918553884,1842611777431587099,1712875795027448970,312151906228254240,1560552428853602720,1331993112981918264,145317332741023662,1802547090129189971,2071073237197651425,2552706253500344892,104324838484732359,3129329565814878270,391730921047974762,503727098056036620,2596201334903662031,1715871392542709676,659692993324450257,2116270400312797784,910477636283601225,900411223477133232,1512126367161942352,244416885457635072,1396482252285020160,644484048479609655,2210342939962728816,1269735946171288095,151770777687239221,867146240119761480,890613269438584560,1301040250286525104,223427610991444731,364019219913956238,2573997620030455927,810183359759521170,1871708207623522044,946955856662077026,3177234241610890518,1299867381547452055,1056464681304353500,611697058057400130,1538984165530942152,230292421349394905,870789122051848524,1221390004410999960,885430253851168893,2983441311502734996,437346975188926611,19381507961582533,1550313978312512400,216456902622226176,765355590018864171,658843664962782915,1324467618793491288,239374910611951175,75758092994547378,631233237899133850,2643419753994604112,170887506396397404,1281485301575365050,79308193924217747,2291025967385781339,65428583331691745,1177557307648772490,2640553156270051470,96420903356010328,83320986695991585,666478889121107880,270219696077029209,3007107052505751400,336262666617567846,1494301104208235440,121828382081526528,609060524357871360,766867125346124490,1044922640507488608,2063947187203121961,868396079860899116,1118084412738884899,406690090740966930,1050923274190056012,1431889577809909364,1314286252354476036,35037278501481601,2101955521344440100,253421129679593181,639613795034598825,1101899966398750952,1737338512385132940,1337919110993271560,841558873945745127,43764903196895904,656385668658348960,2330046672307566884,82734904473177735,727327106069381606,1174680467424099717,207472788785297406,1988065138033881288,355359796761402420,310271675795464881,646175153479015304,451601790312961822,2433968237268568119,1884153451489161880,280743725350521475,401008699746630750,1227642185903143824,2044610273287503726,288491415928168860,488993196078364311,564698873979006949,1032254650970935551,609553498829733333,909952194875271350,3461278905285730872,1324603291241678984,1075615255039165564,3023524737698104440,657730324147766320,3240263495429434647,1830404179232167695,2989157195795895803,791816500700218469,1452249640426105920,455022455858138104,1712809176594491952,254292055632040266,1044706018037905068,1006520789674431540,1253692198081089450,243842123395158498,263396937008215630,3549362933598889284,507932982440690880,233858523687987905,33115862137034685,2648912694088374800,84346646299029431,1147524063554452365,138301698853337234,5343327887594248,60104350608162390,600962627418389100,1242668113088518530,1602597857702317014,2237365269333712240,1654931628350951365,349631366457051324,1241206759241032215,1821973653111719256,826819943455191906,453229126869926366,391885474020965327,717013513606390470,361825661994182820,889301818221034874,2775107465315814897,1625162576022879740,293837772611943315,2285096829587016270,333290181659942703,99870025480460322,998565590372612580,858493007505780195,635127904799746008,1120480204472037072,46163169872595702,1153923551285373450,75633183012751650,1008306364408829200,1027465565634744402,1702570289203918632,1171889369840278008,531808818375082590,2379680065574417394,1188710394738235304,881723855919717848,2592079955599927464,319832380408079160,2842570479777531520,1725161819252463045,1698130867777054123,539910953631600300,433480511186199960,1910351503294922763,1162368653122712472,633198555700315848,1884181383597536361,262260871301922070,3004423902230327865,134429689695278149,3860918703735063876,343655734203324774,691462750070724930,255211202320581841,530388234347861250,1461276488384855540,1357084503503471583,1226528381335512285,862676882219083108,599262718246385109,508496625764296794,648230092669771998,128924441949712305,3007829593506598770,744220597237963732,303873033220835022,3038318690057560980,1079283737226212910,1287652050723537927,920565463208327415,77913427845321590,1246445885487448160,1324702393431314205,202856609937019326,1980177497343605583,3382533391053247362,771622508665754508,761539191321289640,321079747215378528,346822362025899247,2500281647381307681,306929114918832336,3507285348281094400,1135297682213894828,210210107810222784,1120908274507071632,314451748009991601,1048030194222265950,919432788902392713,1000380996120298236,891202567587638814,840398987944488693,1742867601425753160,1224780445054550706,1539703981143891044,842017159711348744,1143550868782826688,1175001497525995470,1980961938679986530,325130123615259996,556547698520424152,2170635447387175767,279513075095464650,172605329871363395,1035491134934376030,1088157221650639356,3146681562007397575,2858163647340366715,2253642436133784270,1685778965348147412,1162826991418585797,1537092162131711424,849508244297030560,617626829947618504,1464328638628640808,191850870269959656,959123731838414520,136222827836008410,1362042748282264860,19677776939016810,163959136228619250,2295115181645135500,745573991769771395,635446302728826144,2064924020677520799,235338017178193560,2353059384319616400,2016972270394074270,3438492322443809216,893670791935758132,1270208836666511214,160451490664348127,740443186422143595,1233878748940609530,986809058111100632,205142441635968015,2179408326115372398,1282463252175261800,2218405998346122231,816999201141744180,2107967194378762002,657390325147492680,1478995884890290420,164929089613759188,2609456488935780099,1023775096823814114,1404675830853971436,663723029717583000,756067788624482926,1009581575096109156,2954308856237534889,368599400810863233,1955862965094659160,908453626294347099,748874578020360568,335050148067826188,1931894888161096674,501798285756898280,176272357996026533,3689985157896405159,212626557110759815,2976364556295684890,977901327678416475,1225676282835799056,540979650122492673,4745957534640552,106769428094802780,711698747562042000,570912033346197732,1376106512206499298,891742568570284305,2164882432238287695,1115733791867524380,534980013751078488,3532864053123290616,1834504860395089265,491873158721122458,252861361046341905,1119935170468092180,203768069355810504,837437306652692718,1783388827142685636,826339068167239290,405963447636589626,391744074869575791,1221551836186168812,57616105306122294,1152164031267695800,1114634154000516108,61553446634966568,666131196086232348,955597990069093257,216657632231441925,2599534710957517260,587852077213669646,741605247419912136,1373640845275802070,233285400566018875,54246987802115739,1446387649820500560,87188143958729088,290587219925418240,757416510758692855,742567992042347904,447617623006659756,1148235416622314742,243471581165275044,321450282550905810,714608467891237539,2076919459883039202,981775441405188117,138767763066409611,313599339590816055,3056958422781501,8732965376047940,87317638688983400,873056240078406000,1357560370702069780,2367749678969698659,3158511647882706600,1484149682073041304,133797125791116404,887787128168966220,1249072973606371881,141590329987818643,377109771853071705,2766735735415792137,3545037931267796220,1828841652207039120,170103101804240592,2827607059685846809,21345735405105237,1920851400456881550,2442339761676728144,2190704472755816814,81496146619473626,1106291367599794299,356817164512626270,297301963655300746,2674844931603226158,1483022151932721810,2618717792005237122,234987544055142430,1091497613958946755,1928527769597429064,190094408869707438,356402278664251056,742565294927872275,595535269892858676,458326034333615043,767478769084317084,413342529896641206,211571326877398575,3384673624056543920,901810570292296012,148153603454315325,2666396372258154150,293489887236804330,532197523338622236,1749060391689715820,741122535660643006,148716338280605814,306996287835455330,1007469791114439995,2134858289873473422,300451850656082330,846646856302739195,360521749005844215,258882103576075770,441817396101069342,2045858811118660419,258650350163308028,1833927781544311625,818044352274738078,2247798373310261392,441698897396431986,423741330879603417,407905656051738325,2233169805733522398,1217291266879865142,3677446313071511319,286841344262453241,208470168511618680,2264472471840630147,1200231453413382220,1025167531336035156,947003209219408443,500273804225156715,1016042308049537667,972495731386709376,868282644374109500,3596273780417791218,103627006441624305,115125145763587170,1862352615159195558,21515587708856888,53781505229026580,572423557164705630,208069974207991068,251256604942816947,904367051312435865,2892742039818802144,158378319548847680,1749067374067845915,2830110576632080623,329225068090317915,216574654906494093,3586996032201146430,60276048307630662,200892241727975460,606222862601145170,2634583225128205968,202860750902767635,1577446818660159132,422247196988611315,752398600748520339,1207179406949966940,2225249196311384280,899258683486080720,308898500252950332,343172807001549480,345205508628601731,2561713472719907345,133154237714027614,55910386657745586,745368056812437680,403732963706469648,192301215014464065,1002402967159375615,1215176348816922690,2056108644256994235,580971218320016755,1948271917856202775,374980484156048814,228752452898614476,435905844174718975,3022226135206199901,1073770737286795785,481352786766313552,485542333043275941,1495768721453894205,706596125063421936,127056461485293120,952790564768924640,1616420349966923346,171921387536265276,1069286484505505304,93069530028888075,1302791608325491830,521422688369539640,329058213388870908,2623913546024926152,1653556450074077480,2488407824988611056,76387838252071698,1527543427861958760,2468671452358192672,59254390544386140,1036806987241088070,661377579067577124,2702361756938524488,2160207452722556587,17129124212022635,1370138419027386480,2784257685850880477,100376079961509069,669080312301769140,1114510559101565940,315983746834014216,1063736343190183644,222663111871917444,2862410987333752920,231698610192082470,2263827821417940288,1222192834650570492,2578391573936961312,1916187415489888304,415485134341594650,2621237169333268176,1934333903601126441,1999842975061523490,451140168802758939,829082239955984020,2269117475123795954,1456987839870448152,585710188786022864,2066084336667680441,660442501381910160,977779920812117004,2084993199325115800,3804292642761254565,297231534717911617,1764103559093507900,72196303336293888,1804654487971084800,709006471061066256,2780778112223472954,179355686220819175,1075983150115677030,779443811047210848,714848598575035638,447433580699071098,1101197009634146190,733690580646800496,227135699372202070,129430913193616419,924376715169024150,955019442091965480,1519326097991587728,1412997409214390232,790625162460612243,45888504361659096,458820571046243600,823479178809605955,1835397510566153544,102602510793819912,256470222739987020,824407744565229420,207158202111707807,1659230096811918090,548786657624203518,135114091448205508,328423637203111555,137976134971114212,2069350866669646020,2441836077224361354,1433300173948344933,867646562594651145,2287061914313021184,1264631813284174110,3221679312781168095,424478408870449336,1350396793411242570,192845564356699552,1731667377520589292,1506174195153367584,441494768404691076,170159540777025715,800513284449658398,397021472089309972,1002071213617047552,1926898951139820930,2699289519869529580,1165293649652903712,1251300840401177208,2167738409864814664,990233123421347712,233804379726924510,172270805588252625,846764785073765442,2692227793109153544,2341306164573942937,314341112029199885,1021365778867170849,1884725158231775468,288354630905636406,95846486570792526,652762391233082970,67430403264979706,967168277323915068,1790605960121245085,2377045133210423490,568643281612260360,1671187252797794838,384500153673760984,1164166194525374088,1696364895523273376,1962217343746128100,185376519323310585,1482802504809782120,2020171988597967008,2198626527903411330,843501797815208360,2675459356148524344,2586758762131309752,729984054114862968,276041811711955905,1549087344873650520,854388675699456618,1171731928531031739,225072511922930607,2000361355084226160,690069042387204550,6731370216368802,201912511980947940,448630929795597200,355976731793578860,28400698080357260,1135866993576254240,1790264706642167154,2427216733522301730,341233047129352034,2073579855204573825,1640991287445542322,1376234062675966908,238273728115163061,694821085184816865,330508855348659550,1086601320605737017,181686677692215766,193902029773869616,328996696207668678,1184574943155208050,1761247628229753400,264471290526741675,794063360767273816,133341088067453176,89517368185342530,108579800349672978,904703197360394350,827375136192950112,485501144399761648,1598467024033943445,534014006479417278,1149426191349703169,2128826479373633946,928227416506919952,2116543856133511770,21485110184586541,1288923377620180140,35396722332739080,309677287032593550,82559901417089130,550321074856218520,631770774273991597,182481935464741536,194673290669960641,1946455956070629850,1477070777422352406,397214164795049288,237609380702315446,995484554426366748,2898560704741832115,449687552948671242,435629748146489700,466714108333997168,583911631546566975,941831001842665080,865001033873082540,171550561912576595,2205335849275479150,1251783240765176260,962702954706400145,838911918213844731,697730708875111236,347973802139879837,561175876187757846,392779225596424510,1789611011345555874,2951062169408151855,1120181306883839799,2551613537911337552,1412889847121175045,1245545933551450728,762314248664823894,417216157823037744,2997411859198477053,3104032849345760265,224333677750066164,2616852593424678420,983270723995954608,1468578643556161455,3039324792892811040,3120031808658629632,326724297954918465,227400793100833587,432645190531000935,986678112223414890,1467651459725259956,1051663982891841544,149766120469014684,1615671103660705315,252180810321963285,1576437214900631100,223736483934207826,1339152530877124520,252422470173241356,411483232817456310,575545121590762494,1960188802416092592,873663915882312777,1809552502174047740,1534581377277439680,202946207248334265,1509552125750718162,783743271888318510,288190663245359511,333797700151967880,1316945981264493330,778933980158651658,32982027023046868,1154205560717811420,1878464330936996575,1449523285676927416,1608360660116494452,1236765938852493665,632520722403730638,278692058694500805,728513508619604424,2468785075071897240,237518992401482418,679789961983809432,8829951413812640,353147387243516160,106730565222429102,2490022509693736780,168977225366353584,838658640213263130,3443733257052535623,97882006303901538,1141792789771727310,2891417501790061032,915930234289532760,1394552856461927240,357291496787761886,612003707657662509,85376753630273868,853644866081947800,2469468767276375184,255390934517749698,8940441528851181,178783127747100180,439286876118892890,131196716394968646,1401132026779099362,1786813282897874040,731798997324008790,3000955860242638080,1494643041809114016,3236052910540319064,1752593941259654208,645732797370930840,385168441255429555,109488080385525174,502406618963426228,1237311831361808712,329032391370300597,338805590966239985,108019683561075538,154291607509102860,278506865067785971,1539946550841053208,154249456669239720,385568074786735780,517996878228655784,2036795790508342443,315246100862928890,1252364242708151260,184088896061038881,628904443024237272,2167678719551768787,1360273050208329399,747583887781766595,1942768966881184275,400256238723538212,1116680122936984088,2670027388076531032,1578021375833239140,485265292524591651,356589851034187011,815714918272708584,2151048223343752272,448156757711758480,421382432875355865,289175202944382122,372063005734539362,1265422909938780894,1156111884849538080,177053742328339233,505794730277703420,11156447088920382,892386757376991840,2487727925964514890,1236912205029949690,2260819192831580130,2893174163503891722,3236448368976202953,726981887435971470,2292301478767319985,1705179870385392595,116230310641242212,324318384405884226,1459257301082976860,1189276436236965496,250055756079295194,3333594065624702320,2792600047585387109,221950109958322245,126760049769600235,85028764250770627,850164475530857970,1510962177822258504,63423805477717725,1141463074421714130,123728945012193969,962196763385412870,722221852677115194,1470606459712377440,665919930644504528,2426374500863203854,850681972353460569,2961167201040580092,732519557000497170,321466841491779554,2041209979376912253,821736800749249704,2109293128259635122,1410537945652243120,469141298214959160,518617048580984170,1013908347874756370,359160852332641632,1274243399142516200,370410764687009264,322262810255401449,43460467334816577,35507983655197286,532542369304879650,432870208501804928,1741645432743220018,809953251982632450,1203258162622096188,556430612658191610,472610670053607180,562387974613739770,1460635786249873070,22716562951815543,151421724674817700,2045624888484684558,80875014762699906,1963462644066936435,1100634676797358422,683394415493776680,90407813070727024,253927940397488049,1813506942238462350,905614048367791332,657959377642724610,2124221687817630528,1137631541714428334,3410522301092274819,257244799206280035,396803594794949220,1292463727076018368,1110198054037029993,3418766564107801374,126660391460544974,1964685550232630745,433647785717991580,2289427903792332576,220236959836577448,1086742577859895064,343211131834390695,629547207552175752,983448137188277236,3088999070557787400,525534341149214028,70724937503930865,1464501139398615065,146383035245519295,2049063291827775230,255188970150907959,1701011365376147100,2105660719322292708,1582856297057592928,2906916609493319292,1998600652596285366,83601928852538760,417948560750355480,64599710456662755,861203578702933400,512367315407303490,54043413719224920,1891242917168785320,1108544538323976210,904044171665169930,2136373888012938472,957465006495083400,525004906101797304,293563856298768564,915426091242206604,1119762448163016775,525664282555858575,404075738177758968,738771502908570136,1569622874236574464,2180692376693093844,1136836725797517425,1900595956116664575,248014491889517175,585511616818241799,11819831127939656,118180992023847600,1072126696942324398,276670430537708916,1176960315708249768,408266354562308977,1198842070134642185,260264141606080728,1910373895992452696,2961702817613476695,817532519894652642,3445016625172819305,246989577326571914,735742012666362,18390851182728050,220657825658423400,735418127323230000,2320516514665820304,665920819802742612,80566096968196392,1006928329391602100,1108883254958145060,3266809818322244352,385149373675240543,922248571355938158,304629581696887209,1197544371218894195,136083441496992084,1079025678809641308,702495239525819256,289106131076648445,35956159986307470,1258280549330265370,781215428799057640,994814769253492773,310090203571180626,2066963905265681400,1150039545990175008,2842403341713028,170519102938024080,568313354017586400,1912450889325059150,1095153059267700296,559090203627240444,1349867476421764088,195781796692603448,399538087008266025,1558175997689863732,632036067561730659,480057923178664920,1335253090947023941,2164242944479563760,1000909477755078072,142767227058213606,200484816407255151,1555512972882128478,1111271468012649440,324900324581277638,1592034335525543124,1807686162846501558,1215614559337057528,293583158349953865,151656756905063682,1398888664431915028,1836719982053204688,761745855057412515,713317623547968640,450588990644629956,2741779414233322936,648054421420634824,395813374121252919,857523843921065835,21117264785183128,52785362588559780,263887817365052900,576387803072995134,1451718932974383600,199067376930448204,270147436530340461,768486295690025976,233381677725922356,2333471675594268600,668404842948059751,1148784608455572990,1999345257991608786,5916803015400591,118318551906244700,738006666319988972,1301822018724622428,1079734211726837320,515997565711123076,486605211507651705,2306759732266789704,219164153139981654,1826097474395589450,1198439997348405132,2016326526859792170,979522048244755746,551028715444025468,2219349440019354874,652968994439805042,60308746113792760,602998067218894960,578302890294129882,344586053696341373,86273114826328443,305305401396850560,617805445113789138,1526313648321518588,1213840382875989000,1200876779414232436,651346864978107740,6132100964192082,306559543449927900,622950265702001631,148810685362295535,634930348558658635,579082479601636656,154719558995410194,1990406632439005446,76716016032375634,3258804685147779645,381183151539567154,503210921414012229,116030536348975716,1227452207872892631,403855699286401410,1057584368097401352,540884366903919755,545313646097657208,2397363760237756464,663089422391123140,322372880210213296,3223249247682769440,1954444150252504165,1627647747160529982,1440076682852409900,155291687768509893,340882920390964521,328358970574183224,262943703245935720,610276082566316025,9289118181982149,464386737809222550,850416657934954838,20798773426257195,332730796726889200,37375054590284109,622824751875934350,249515036416196397,1781984614976581950,338216054776253340,784576239989941520,359820920421848251,373893186576807486,1009469243005440183,2841846485184986940,1012773523760073153,1381965153570050814,1963631061983980326,205340322247382856,442889620263117620,2718678430619914644,609844607010710127,41308327292548850,1239064786677034500,481883959350801225,532621378828107892,749765030795824506,388873834634939949,120025532608887932,1800113987097414300,1678543560041955489,257446024122436138,1307602691610372176,219326867519134656,1918823182702840400,2980998156357923382,895318427406857364,383416628527071708,2178079883370686344,1206495311816605740,1240523573075301006,488623435405227400,209517535612711737,178620358362947590,636072791244602320,852471096424926768,2108551186191557392,1150365993086325010,1185346583167429380,1103701861957373945,1872052224861813895,1102982156155636824,1237676489408864267,829020684843627810,111985525520521440,1435083205223107557,3539770775532917829,660118099105397946,295247173595244222,734838835329472440,236461673481476592,2912897610032736120,367614440746303257,8489234289000603,679036856170564400,343621097224043982,546501708010962882,222718922994753288,628414847410096132,344752311464849385,753255334460030262,113893688790834362,2380179739325233818,1642121635461968352,168279146889632025,323312129527473846,19797017824735978,1583523463090243040,3064526959998425376,958121648698488980,1602154143225488,128153064333884160,1441505225839204800,32949375024778260,65888840538664200,520397559586358966,1893716479983268368,111459744110303505,2223258713704594412,1161452488865455755,1431542828972400885,375194032661287145,1760521041705152635,2013745553177380524,513987002101718820,605338120642850060,33400829391555462,1335831963808372880,313172772792248768,2310375623474805030,541645483194669774,1932180625215218952,117728379843169968,2746581530106891680,2422212813310650815,2245179232754243952,24727195961655269,741704027315203770,620907483230112246,370289756977260040,657000471556004130,490821714697041324,179757832996096005,1437845678985793560,67191339354597585,223937328902839170,255370518638578085,693125254314175488,1022691795807296244,1084431266812756860,663416682251896296,1306028351558187504,261802497123492941,1917975182890389024,78333747239146520,195804777506078180,2239291871612593848,333841223850695466,339584791474325368,341547386890897260,693059629297006252,1341430539209407062,2423424995548560408,776452295764078893,1924662640170523320,320427230592707490,79006516368548952,394972807945610760,1178705535474074796,370219906578567145,143973379705599487,253806937313913651,499878992929210896,513267045034180152,260807807689092840,256923812728033403,996131112044320360,87869762704826025,702851596203941800,1066993108625662320,1793349853446322908,57356943809142795,191160831770535650,1999470618492898032,1233942289127850680,554737512353949756,814466902808320884,1744016469491944610,1001248472789084052,1285988790873781680,2344044332619827748,239859197800232562,240432318311628114,1717113040537368900,1414104365388029200,355872547326685905,2861065137567229173,116118564243368664,870756970651939620,1324364538527944065,2617086256776713151,1380042389078477361,2824006988483548168,1531572034633615096,288984437111879895,410955247860494343,1711919840630821389,1977064114435619868,1203339272455206112,2925485925658271235,427253472728459256,2540544224926746906,437435952542497734,336224258412460323,1542877642851267730,722248013648900565,51854083279826832,755857038531529302,246876019337161587,190311505892394300,761130111754606320,1374251266940236065,5549697961409778,249698368366109190,1941802564662614500,59052800741477502,2656971116972425710,1251131074359061734,880303051733281575,492464604495342990,335077998635658924,1116756369716344920,1185876686312352618,129567983718777345,925344443296023750,1139057166788530048,646514760049994334,884333682819581112,417418056632697502,654565413592975625,1220354236332545391,1095511049816877006,1831217353751858786,1350138828285700590,2127755364100334580,85186390008988491,567822525515262660,103819803907126509,1027081926778134464,1567046352321748410,1428600198781193225,617878912936760095,386290311642557226,1773678934777546041,767125370296085520,1069960000504184316,163723693809026469,1400083279417032723,2697079211941134363,1370314220973467780,1223657762377165576,2637322716199684152,1244295466493574922,1091676621499480960,2111583207332272275,40619467509377240,406132485473831600,66278064849864588,2650716602096717280,197836377959357840,220160658203714235,1886802263844335700,122272567159184784,1528172889739846200,996883144868319105,210245285634130554,314620940974151190,51737921058304674,1379466358490379360,1351423884790505760,804712401172707672,1049903707755949266,1756314060573805002,42137078066649175,168522451340609500,65628108973044606,267812558479197077,695730625904306224,2232782294477297904,1362189721252382070,2963886215358204315,940714700689790130,2632797787264569984,934435351316930920,2536157284159462560,469408795194185168,1978964072669421369,1014044428402062561,1053712852979964948,140993703623384370,1644673670589778290,194634813747574416,486512214212463240,216117401137971876,2446644269021931280,2777487677636022168,2991340442721499248,2290972114189546767,2005125780963523752,292588231146729825,1734943308210704968,935817992604648100,164458778991561828,1644334574688002520,559918249374904840,648763901629274907,1381518536685730056,2626551494196507017,1093947178547311548,266709542914245915,2370386162878976880,258547494894393099,535475528746790024,719966943825684596,994747059604712760,510651518067561894,710862065282558196,142992309457787952,893564082901180300,487253843685484440,485648629207267032,227488819985097204,1281045234002740339,2300071616591619216,1584757893953477115,218773174661311822,2344006440937123335,292067924190624192,2009996860903118739,920786141269168875,372750885556625431,1827720358396064041,1201717068872436048,927047374839391083,62222661698752140,311065221419976420,1068537132621192456,2537627866983782034,1137781231537042449,260055772635292410,780839218789377648,1862130672029184066,586099205370166300,1871317365908932014,306800089496523630,323751617818955178,1397723184350795673,129787856189213904,648838819983808080,428798776239520100,716324879971945008,127462210191873014,1106057065702251699,154821694451291958,32700357673439300,130781164399499120,2431792460247327873,150765337523199591,669964309018828440,845659117013537520,2072885772679929272,1745141092475231112,225376820829643029,337472553176409775,927491342578622370,239358427404446556,2393212917973175640,2166023462154390372,326900619262117074,411675463169836680,790447433912953998,1014398992390182606,2876130154582215804,941110231416753888,983138930887440825,428734787248614040,1073929677699213909,9035410390638396,180680130636687280,69391648338927605,934888672733318289,411976301301076022,619157412670420521,921196564674821370,58583474403753360,439307732636394120,700485961805777814,132030448288755806,2226764983467820984,669068471033909010,703540597936790392,750812600707630137,427041603652259304,1320872822259024332,752660649261311970,1545240409987401246,2106986732589858735,1706628204291940595,2910748455741816432,208411717058339445,1073012202585410610,264346782206995998,2862557479543739376,1052233727646055479,2524863456784121355,1621204396213575933,1671097527911661108,241393504937175318,65229556040687309,543473179282397010,108313568073281742,1450303237998160623,270239337690181254,981522404160894582,2353269877193347785,2669831894025743584,889301877250078368,607998046365981898,909147885612358,6492899427139500,38951312518828200,389452286799318000,158913736564855701,633444133268420658,2917345998266016345,614775672696857562,1365197970898301355,378481481290134121,3332274833041103763,2308096681320097160,1150948446159610255,159744757175626032,1863397349798269040,58415608108744467,333751254696419400,611341626502879408,25384610530516216,380709568498182840,511359122860094206,568657315488396160,962559602067161655,192130027923343350,640333138552304500,694555844769201936,1780736694180964960,2337731239969744045,625980207685708332,726474287633765972,2532322507920035634,999932557101134310,925139631150811332,208541337121985896,2680825380184908720,2999626515975020769,2790771885949236210,549748010935919628,59781289119170308,2092016866005125780,1035793410298037343,109341035758531590,1353489078102436664,728399144610413592,2491623644311967424,479981942834545720,821682314173217640,672791718732489900,1387230749698030544,1354150165031562528,2602359001016708395,649940754439672490,1641260758486009878,752396440648927698,82419705681725054,70740991831519146,1653473336594939275,1470340640348445770,914458723694255457,290441135568789968,1451977260830684560,485200480251031890,336256039891586336,1233801287721666356,773323109870923404,2888198051815268262,200507911209957140,249998985383078310,976938529561938968,280432905917808063,1647708239211222564,982903278483142860,2164586658181005312,608986821998323032,80292820808089152,802801681275012480,1010014692702856440,1089891807321444392,291562349521189077,442472059248908448,336094184651904175,2156505173021257740,1744178465466576936,2133945588654193055,339068536497403342,656517331944726318,2066195505848197560,561533669308864856,2943865056603351393,546473164717303292,439165064818739084,2092042994555943360,927403012171993016,179136625576120505,2149299964246814460,425870318381538254,1289149910792933625,1996949982971859048,669547658798854912,1064196138839530728,1626796004086872423,622999616346105340,987579675066720032,112809961521970041,59662276263928899,265123731210570760,1734352147645476030,2200183052372681208,135100720014064399,1843104408569435688,252239276449984672,257148137752791155,1987964952250812768,1634470436073629480,1415198968882954680,1308917177735707926,947728253854164375,698514448284291416,1779842806802526816,2134754605195189614,399715107806943624,1173307910137633620,647806827624456962,514783399938643452,2366116697291958954,215392528694953896,2153583709909803600,508313911768397766,409455943465642176,836712366833714622,183005480789593011,2046541559004659220,122752035667219094,966449397687373068,183791844488088212,3149077313754152388,303120163712396790,168620427479940612,1123957646464636720,207575218227973929,1086186291326803625,2827237466601443475,506172742263322362,603404190848873664,924139862424624090,54620973693866862,174840112802013205,1052912470685618408,202257241083132894,2022250741116241140,121847325827373828,2131988991799624650,77785081390558484,143951437714595656,2518749263715047580,521753123884649774,13502594579678735,1215040047820671690,1190530048460871055,315175858360546504,844221097466738388,788316235420069640,475136901387228100,76814562712550691,137911341536551020,1930451097542152920,666521341762256940,371727545605975324,42094588640388575,84175754233105650,305670807681501618,1674750740127687660,1823095405214122149,530671714380341025,2030707968408316806,627094409940844962,357741184796696580,931817379664651296,1203236897503560768,79389390899430084,2381301468586945080,60943512561770535,1441073852259107778,560420912125760076,135400762635063930,676895654998474350,296942866317769910,442178185762030104,183829314248227117,3267133041633039522,311382853977983217,164304797750877790,1179556547949539144,210769896523851108,1060419197476347860,215629839942711813,700635212482161210,1505152928046545336,240370382330884890,259171573462443816,1295650449372206920,294296495569577940,366634034182826751,2481247319499319231,1633185990451431031,1133369473227062652,779324165000849075,701257075650564016,141177973699109154,617701705575356822,295888802537692188,37631720838089280,846577986482904480,1852447818890140146,1994221452593411325,85130317796980736,972761875281510400,114468267018669639,130160033957223843,200455817200196391,903477485578755699,152443990823313180,256444242927850134,2279138457149663520,563353380933737178,1749564425486292247,1797468315698980080,252957068744727456,1329212246184584435,559614091990218534,1798906414183372764,668414122054309500,1853226511884296658,1824304337194201320,584087956456562544,715428203169771042,2609284306805251290,1011919111235238273,79780918559277363,330392458899488120,1769617685659398258,117101860653984450,1404996206335490040,443666034481827126,99725398238690208,166182241335957920,799990859752528080,1557025655875739415,268663420373674818,518847833179755676,1611590031596161032,1132123916679002550,491100914735585320,1492798390684475562,2384674570238100576,430387501012561568,2249452228648240395,2173745466516271536,749530636313308064,100802807637229590,557467821565564052,1199695145924227460,332674180352648616,205544998488195108,2092285927400616038,297292988747166096,88119203260065660,293683261317859320,35392882142898684,825700570363084360,524689706952161754,1172028257921249280,65503622944695124,748491894475864640,831913264694948616,2088220137321340600,451341483436074945,1124411868885604332,532044233750671618,115649327341532259,66136113148587039,595845782478799310,145133746845698508,1449350361740873388,2126368247529046398,551014962750940574,853466306131588740,636853570156675850,560785181123688852,1053773525372076156,283169724749232423,1964328917579514540,36745614107140428,61232771052615820,748983033317560911,2890377043072160832,2802684553470529560,857835559664749536,997735417332021135,453467550429194651,285490656564509793,958046959179269055,1777144369528328364,455807888749986332,2601614636435055843,1783817487338448905,620582189837740790,831899594030409576,1353423423718143475,1571408774879360841,1795287408921042372,594636251898963240,1071513780979997624,296373302624879838,144213323878138312,2523323259439173940,1763401561038278475,275276754715952587,2017906251318560961,601245861539301696,205472627055903802,293484611669868100,140940533370614832,108860472044644927,48071828747470808,540720121670131410,1680094687885070135,235963552338615368,783289512525526728,155340793474611805,222676654158311644,224108140724310255,960307119163539870,318276919191379396,2704451090949079344,739015106117949264,1360660832634829185,571398270709424976,708293108214620954,1507760097408623465,408263292893056302,843686713041537645,2055047916261193567,288852853994752230,1525849247818612129,43965371570536496,879164042260843200,367278515165236122,243110766876521935,634011615668073735,569917670437081647,619814348096789550,2516218401798639168,2447248547212049304,205393778115336079,2069293500532089000,442126603716204210,95077460277716580,1140743182904025840,642957443000645610,1416121957886491504,935994205379088135,2257630085954747106,1427808905465521368,1028378074288057929,1815730158263865003,901722695456627900,833830143940451424,1628323133713663670,260833763011138184,977966612273257110,73801116329511590,32859755051622639,657087557264216820,149396245347090917,853553095596754760,2068471356014995650,2048366277938761263,908228306497329244,1347064566679314126,99599766091078348,842714793753644430,306745537173335031,1457200280596113102,1769568240549209970,272858039243765262,975168679892615550,1480054123913318775,648046273866453414,71288137126738248,1069146686280421080,1062305758274293260,2303364481568506909,395607316175167715,466065488335722624,253432766365435064,2492022500044878195,1091053379068089924,231899345514401909,900735211630731760,116475164619180570,1164560351695849500,159438288760046865,169413597951309858,1077537385235964992,1406875270222433697,1606395536444981625,317633866457775736,328742427115068936,880555564800394032,531387834618412784,1850500933362792930,476918192281505388,1253241618868154210,69353057787400796,1560187051102850490,1869545705404943520,272534748262670024,1664628903931351113,1969641959882510496,991660345711820694,544380466611249225,23385718824492849,1169093350790651550,416222969956241724,2144258670101815715,896283347841162760,893613071465256624,158066740533987003,1377170503210967416,2725103857532317218,573244909386374220,966688805812481185,1269959671328020644,1357865136468535464,1437492668195639349,281988454859520225,2040607542662757486,1706262525859488504,24143519747523636,643720914098677440,579655939518571260,774424880683673058,416507065543100756,1667686823007276320,756680952800633685,886164683329372230,2495313301409122554,594588450907171218,1300994895329616654,126386777235292928,1895488259670547200,1660655390570736920,1273337650864520577,7224589743159192,18058487012096420,541664993057091000,160612581504381060,339526623335398709,1056439720419903816,2094383275747213752,740219153907976925,415697317211735652,1020134901358138581,1584726800667669351,296412382655350536,431042867612365320,107316654376408368,804741555072041640,852171731246521233,198164665563786126,1761171737117495200,705902537035600464,1602552047646953286,121102090185723750,1614426764680350000,1290740330445413875,118090106896772361,626624918939833605,1187020996256715066,1537597342466530835,605453478532691460,1131690883915338502,841706521777341152,1733504623170028575,607939899730023734,228582782935853790,1600554251256253542,22049281818861155,1102280927536020250,97637040068245098,1644832012653000060,1136385197038279604,298317007673267814,1657041180986414300,312637926289034054,639830133179891880,1375993394818250544,1485722154911494955,37397762646315024,373915403543289760,468035906076438100,593579211077311845,543826393648835164,2468083149489618488,1697072796459012204,106821542432755760,801028146483112920,438693935006001618,745561434713410656,1623604093497892142,219838522207879230,198318540349232956,2335393379374921712,242416930118895432,1466797333079534301,1155980630455155350,1286790401626199388,427788720610424658,755037933952538442,1260935446330649034,16490157887216040,384706145434313360,1201918605935821002,257311114187475905,1034531687991640488,245967047376332265,33420941860055702,501230408796392970,550425378901737936,2482732361442699768,2819490099396011010,2744713135437705312,586087959042609986,850368074378494716,23165245381789992,1852909815292265600,1805056901730095984,166175433830483202,805591485249976824,990432630009159204,232964667085800510,281034176210310761,213626851926457908,1302227428381129299,482313620362444380,1134670889431983855,918419266106213448,1675118222247747056,68603152230384138,152425915563408360,267706552597744440,2251723907305912081,357674932112549052,1195869250048821984,1537545621848041650,788524377991971210,817266019890661407,2644672722092934021,645829104537816984,678741614910788376,360719263215005660,619266007123419105,682237631439529994,1158351292074514372,729664597138254804,1583190727771803435,206192353032208840,1288485845234717250,906657617582903754,500461474984494088,635468801521483395,239888379803098488,374427374927143559,1508859058521080376,155052805362475145,663747624697097880,1374961400290777560,1310785826323346876,1305923932038359944,1741114170078950394,265380493303968940,2858454124623347067,451126788996049971,2389928866108801896,222435235176082934,452916237210637590,1021562751981688896,1684091029693140747,3001320760191079428,1814590892851871016,196595201758000080,959441695335573180,2621091816850553536,1193433359663473271,649413664077738564,568981137159235980,85534967674184684,248398426215195291,415094641525926372,14002356943909356,326666565595847400,122017052392149873,559280346050093553,991764950718916815,311859267232890576,136260044480939115,109843319464353033,459071219916045317,1246165460671183068,17935060362100047,1075921909968764700,437713042422363690,124606361314999332,357054704470172185,52716184258327592,1844754679987678200,1832195645461741528,1140055757256229660,1527598169626296894,966119283295779184,1239311798907215705,106205016507124110,750338587483004468,1272531600071183240,652372616796318126,345447366395734590,731648520548394294,1140162561644633946,369876838273991390,134350585847568015,314620268937073515,60218153756070417,259309639545894067,1162045227876973614,223144980600663025,877486529908376900,335898053905061160,463930665346833882,529461318251957184,987794356837197630,1318631628243580625,1687587703874167487,60419644421085756,453070473175649970,566741703576780448,194210906132708880,286975252940152326,134071745687662676,328403758145534457,1244589846851890722,94453685727539120,944376477481828320,310885709693207462,34369436002165673,19286321025530817,149979234897499350,1927976806106480700,281755044414205866,2052014852568771472,1233131246993607507,444733182092271000,1073674865929934415,403242742857987408,2281954094604343698,573489199995082971,414061047527271950,151026179542453368,1006669866990107680,525917110619231036,292699912871104269,807922206395316760,2218484523911589885,732776076602423721,152828482744893366,509341506116604780,657390941507919540,1976300862243397214,609194011506578376,1004843634395568282,1154074417695985788,988871504930612940,864386681911676856,809213758416039880,1035623643906664752,1682747343729922488,129804892561367960,309276202129844363,108054222377379579,82390576991016108,1647530298877320240,203642192665706670,2036074264788247020,226179352771330542,1356094899008280252,674184925428381594,424405981741149660,261956293579413414,975190541526694270,1532019513428918250,542217813021727533,112951832885710375,904158737220536552,113873558193317991,858080946542890777,419672332383561938,400692100809880080,1316908198562367932,245918553477555653,721786909496859432,1352813642457081816,1573740391813077110,437359387384033356,945803659832172012,1342652296817155248,1674214345915156944,258652218725193720,308619932114467693,135279011398370949,226137417448510234,469259179163296556,639768036727686660,1492225808992472772,1113740743707021141,899174397037365084,1560509348451125296,818573533154526520,110783536505128590,1993761541531528380,1533430866200567216,692167874110411635,852879072339465840,1023321904581858728,1023679898354767572,379436863323530853,253998064191310179,545828202114196905,1218626016380719875,35290804338284690,493986368143746660,194615243897607396,1945817954247792600,643182534831224151,1001611157567784576,242786290902928881,587904320509175688,249241741795807440,860499660140544909,894948879102207030,656090003189458470,170647558686580738,724902685283429040,530282812642239900,2226194827806554367,157898212141299363,1415428836102893652,45685064167607425,182708779987289820,1453984195606999044,372993789904401445,600275559956863488,159012317098285620,1118980588745238534,1424284715738963286,27131011555323939,1085053325372112840,31641588753371340,2214529172256268280,1336664141048807667,1308219211798094502,1025899052904421488,541446006761039860,29012726460552924,1305347311653676020,335168171838277524,113398080905213289,912254409616748205,1198823591344344036,1607822562474242130,825042642964881452,283554391472655640,232811988234463305,2582970740261875584,885623739400226412,628570648385987616,819600633611490222,485379812457749020,626595660012882987,1591749934182197888,2440032079866814998,82491533077245288,551355341082929285,481548688279420624,812584274821704444,152104556744930660,304156438334153080,123134442092304885,77102246365699763,313364278597054512,314220221060564847,694239817658928078,157734182939007965,1470742723388159892,481255477551834676,1021589705118601955,413524025023327632,759817024170778830,2144394765409134712,37819178748656412,189063087319960660,1138403018487219825,844831494261089640,312687883964465488,701288103671765244,55828770572528295,111638153422131010,1076876565630530085,599880208561698087,61886165318722368,550003677340482560,23490191748556206,1878888768888880800,126890191298828255,1014945072959474760,859617459449594756,1428440389721914932,2083795444217144160,2551367520655144929,1459770782111724048,334508336147400690,92382867555153090,1231557211277642000,1713256679675248896,616047184019890808,1507027391201295936,830135258124899490,43719332173358175,388548601365547600,618766870202777988,223240551197880658,1730762146010436826,941586394797213210,1477930619254860972,593759663465489716,647544502010960952,1186221170127541728,2250146306533392680,1442509192642701762,640020239838151893,760813002316047732,1568535479895378897,778239340688862540,848882339096323323,188754736119835806,711844416795746535,188678520155413953,2092625728958562735,82453561714496428,206097896805253030,82423697895276942,1483287968367418554,2965264043958931680,2955820765231943253,318452169008468953,1096321591638766265,1080691483765751340,1481832559479555440,1646198131512215160,576120336499000944,823193205265188970,6931972972378125,7700844319218750,615959719497500000,560145644493124170,267178566427536942,164384547196875056,205444699939188700,164223583037361276,327528193826905548,1938986263089922848,274668844274647707,474995210573457960,1010778633461083995,410399464014788256,184649790559879327,205163918758092495,82412472785002380,839031580826882230,37621894495871875,48181109208228447,307624534364325726,1358554775878202820,1485326936193198990,122745245878159998,1636315947934172240,475658067538348308,549944601992535240,64574012081933632,2545381729566050376,234600196454718413,325304082638362386,859187212407724620,921236588478478340,1444223101925782185,500800998102800760,60815901411632277,202684020620733150,518928570872604144,1286671380502203628,2197770060643504664,663096127501164870,57401741850324960,1721749154796348480,1119046772609887140,184854529818954026,1079193144592770275,199493750275214880,72837326569834316,340368535983585393,103748739591644514,192463516614622933,293639540933620575,3640829522947461,97071671957916240,1091863768868273700,1646847642609948933,285269466865535140,184425142223657268,1155652338525303468,1132997328579469224,454162946666741368,634149489662449860,722088360053415321,899115057238619823,2772637607821168449,1217793650861395656,1325377626299309220,2058414641961561744,2371867467356651992,115315679943756339,474225932828708424,1338478315379583275,77087104190956134,484002241656611496,470725356610223002,479670086931116166,749595893968449300,200377188631794132,223751475575033928,939028892874287988,531309514996774787,220127966001474920,764366183332110774,2406717838966161128,717970270297546904,1991584015749531648,880781362097053540,1543107698639503368,2730154945489671411,352299846277571559,607356100611756177,324642353688165120,491729547688253238,101072457578251875,606327215825261250,395545000837997490,431570146421851530,288711187716801024,747865121174000540,807870374510166512,476495835261867828,147499694322883810,181926493433696432,609654245537709495,279886865031084936,2580574535314998534,1415073278366357700,1477930160494330944,811096233152164796,452885687103467460,1040496377214466264,135046010709568980,192888576454722840,1894125062036259210,1014761729960153252,1675552452087545766,1064493992930368450,1167356667040459428,80798140295317914,461621499362616080,562018821403609797,787504264946797275,240538762740115770,1430948863652752953,2415193650203872944,1093576651032955923,249392116694233715,1446596676408429846,792943879273248545,2391927862440293584,95011020045116727,1227452257790260240,349498998593821634,840373190237216790,229809048003357836,1664203411340132391,1212618077816335875,1411509289547435768,316766959404127050,2693076677911916802,820527591447955496,500633492230988120,2438173644367497384,478538004839045829,1246665952532404872,1147397023783487835,49629447520186435,1580254755712101207,1374314490698622795,2202423783696953982,203549619446091141,338326772421946140,666191053756044636,382732257118593270,2540416570827239016,2347837905392148696,319889238272884170,426008450603179986,419420079524482664,1239823516234896754,685891586308507380,922574403245756200,387446399710822918,37304036775070464,559460333030242560,266578760263992115,872320946164668720,395329065298083117,39850475336726098,237214042534446381,759811336989723980,727080846302259060,377673088337612622,1169447141578649300,102823239899360866,780021802282278492,251558423253309060,121201914312514569,680696439607617096,1705109150394353792,1093048197571052990,273653074579503630,1496768362947393312,1111283933883192980,689049125087661558,336470135253393205,108123861781516080,210081418801867065,407250851424086028,63291916081541391,629290367234255706,2546632900819705455,2562453042765988806,1513746605255223180,827830959803607415,329965693661950175,72536008663055880,1933945470975742080,1158471171913194294,196522050904531296,736825011069672840,1397543154395503710,426008586915449244,112579626619324041,347029979197401882,1334931403756065345,642027876723211410,236579454990722058,145452585328245759,557907471629350674,274274005802486035,619713526802601870,1475338167203594922,328464826467529530,922219263133623828,440088327122141105,986683385993796240,1749642544531871787,2548115111384558271,1493558126460170330,1108583572468105896,599641356311946850,250074325939182809,859132098899077527,103856845592461338,1557571191174120330,149811712063543275,467333459909348844,497321990205049996,590576529309178542,985383667045526373,1325012140808638785,1880391286960025238,1168397031974234052,318635575006074132,861501159468176292,780535149194955240,155046995934321808,865569072245126004,542748337753830504,1858574330891753480,580402417168016175,1505211153381589913,1554755367757221552,210593924474063688,646369815532570254,705112317135718480,1005701347516319544,309878675020496639,2386158350913482157,930686754648193158,494299424462619440,614236237589314448,831214506232046844,635469794778014240,77550471594987672,646136626529721000,69422803243980984,32776250882937907,121367865143216583,1213458223938383070,549767135028489120,288019149293270526,376344245150123411,447209165213466174,154049466767812284,71235422249867705,84702345920576896,219461180366622834,624660412039516044,600847353296935254,545680118996743185,2009784626595271480,30957029670324142,397946516298889140,386332471198810959,310943884504563630,290155921098018867,73624308134859496,276040871944282410,293929307438555046,732563151136140570,1409996410160609195,3841601410678503,230454074265057780,570284445992686744,262111557922596180,496609668473490132,2062556547284248393,266826828403782906,756835146993735198,863958162121155640,1712930268103215948,263138556764052258,1136364562990620693,54955435585234248,961544528772867900,125182228642244452,32576872332602772,108569739029196840,149860473575389659,1313347705032193635,26374099846462940,52738558801219720,1725100730379296616,572827984794543136,119554945709555590,858554232990647229,526596936212165967,2462705546347077273,490721653601906148,1097559105936797740,2030632034678457072,146143618401359268,1231820184595965069,1430073415388279165,1237459890853902660,851683617758781580,2109556268026993856,300170368483494192,772848316599475116,90223052694197040,1404062870209390830,62434062140278765,873916616103900110,44810429878378584,320015799049026000,38461991425409572,1345922745781000380,427192874273762534,1499963667824548515,625055313157908885,1559554390688612556,345153233082498054,1060826572010172228,344979557604363548,1052607267875465550,205161316642772565,192943472942499572,355644450654369310,367819586830442424,600580952047207620,216962233959584907,9620753109337827,160316399800385450,33770093393535549,112546272333218550,592936933995003417,484856322891407408,284649062173300581,582053994459644553,28656038277625960,1432538127824182800,169581023249758406,1610970786600521388,1257525985776249339,973368913972011420,551670452633587945,512400423602637612,1155579434129623475,865631671233773720,1252952009461020120,24150372372184605,241459188689827950,256491394138763499,792032529925186512,261959194014157860,270517650631480392,626987498951022696,1173797488891071548,137067342464841375,973464882441650690,1114965261838869504,161668040586378345,1386755809128908622,1102883894298095707,224915263639355250,605628433395837837,57914869380660504,271657847769405717,514921082616161028,463873043614649360,237828207465107709,1821974007159335592,127348508703569509,360624486262418256,1149689256594971640,1045643557344492710,1248327773177180010,208342709095423380,659096845533151818,356370720800666730,1738083709322435685,238477916358633808,894126505583100780,1772771097674161576,353136494883890925,186839394203992872,120884719415197288,1208623069286708080,285735397819848912,101617720439890995,391027827697187196,118653603492569922,861582748523416761,827731292150047159,1852923780993478305,800782828481418696,1170160960202496654,1286541097058042595,1860591813640258698,1868340260948709840,785699281074883404,918166824909896884,179678301872038696,1437730282858109730,636918475938387725,210788819016230408,1551935588765165289,80852934725716549,793072008581211504,761593916194918650,1818818854934829792,1434167188122588965,621719854841400315,96484698464837528,1688167897017452900,557222561802214902,265079113957382058,685857000588032285,307012075067653644,88322210313674575,883057534393025950,44003908981589208,271391704865490294,559550232800824408,182023626603552720,299441483553936835,515094273430445066,1145358147258954288,1725974590354747136,150080172859478425,2400834663203656080,266725740439483673,474412937395973012,1723118626984994547,227447537274983830,106701650264709265,1280180647295341020,74889641745619272,655161934637680470,51757729606221030,1811181976543273530,1453030335379445724,492700596830868975,304021025435481076,1231061239921858080,47505341801599950,2137340489541189750,254471360074952919,731638861205479524,32990982774295680,659696152843676160,657694187892179622,147959255546288478,673249779972557680,1091667402944984160,154766309169078652,249924401362966155,164072035063974591,978334631440219652,252596269433460510,1683659449687280040,348466632978274252,1335075503190460020,508301686734106368,251970825155764880,156963479498728836,1328075434507149882,303202319240073027,422087660182487716,751140776326449075,2366683612880058256,1466636938479352038,195081967422349596,71113163892804249,2132994134273233950,260742722594211171,986633763565911430,332056900003072204,463595822116349985,279100108593818925,195329172149243966,147414694504230222,946480314301155228,1337760386231933628,2548141351532573580,871558452681718109,84615934604008116,122421323634071817,65682807769771026,875605869374982800,257219292199984803,1282657038450220120,974786984744635536,861999695575445385,30465542230167970,17887768943003972,268265958054069420,147012718485084267,540049154414081204,638473746574245,31917666212524850,255293162473865200,309218321444172912,260329269646078419,1341832444164471300,2293398961718558592,1536053202570958047,627500623278743445,884787157209352644,509450714098673990,152550851551086774,29114548437069645,291090470325929450,1965437319852333243,270137128170548205,29716724754883701,132049360501505640,124716132056694108,64529738330611765,516140254762434200,857313571263967728,225691468703957844,1062090286240898308,2397426458198372766,1377063019376319700,203209882747284201,160982969061673608,624386692119053862,2330666172604445904,1602630016757188965,202007009114785951,1155714401719307360,1123755392625087495,1128684169619886537,857458434908460875,132997467089872008,276978856297200296,96812271175228714,372548498102872866,153112646247023160,1191773389356855662,214581162081178875,252475555825564556,253703274142713892,390048233477699430,221428398140172304,1281112018395255835,921207497425711530,296409510868018490,2069426286810022385,847809628117556571,917069251279542978,261809394219580290,557671292815958052,413492264572964940,1433281819586889090,1371361697872259751,1610829824302147608,60448270948155468,705095599893470100,1059556967441657451,863614714655842893,633318297759668079,36672879329198341,493021563092161985,671043803010333696,459699950952168482,225655796229563249,368233851637713042,456032209498541760,536156556219598734,19756635797713470,158022943103014960,893362942458885987,632682071251642890,1004694307931375094,392839813969393790,763445471390975568,542499908504143432,348933765528713440,803138285647994355,57608109387428619,1343932461700925110,743022175636793490,20530948242313650,821080989499047600,1270768188550817889,1623828474986273206,255197485956910391,1350654002543761230,481718339960880594,659496499731251025,280298196192740316,668570301252012336,1497557072179238265,1529920054274093400,581998524725621648,2495282890720553892,1108968804753124563,329630548847522820,1020328363487093492,788830944440749464,1864748581508078118,26701803776731942,400450288060876050,794589375438362160,837061079622135305,142537588549094466,1017930367453229100,2459986167170233170,90093042468474147,160211217124122408,1001127944951032050,964341364280497272,378757833959942040,133315346170408278,906022689144698142,391973343333140745,569038256934241892,2248351076940045930,153127337901611804,131820789420466190,365312095076955420,723407645968704730,1375789825146510600,927634116565208376,2248985181986666328,1412864393243300184,40093825898677392,400861110244303200,497756445851124996,371745344530811490,792794483690481870,741561064215040650,465991069951016190,486734562425537076,1813837606280470832,1554491104091555343,1582898877881413479,38615112825371280,321730580311628400,59561669812011134,23677945750620788,236733795961464120,33130264058084440,1159335557382624440,989212050269844675,1372451438687045712,1479125882656942986,399700972577201670,832771332266763760,1042980071659253825,420084453001661541,877289282005327365,14604389759850360,438047041816813680,443549583014738982,186203644379545400,698128691767877250,871562491358664705,2298222896044489816,766081615536279279,1137306860934418130,1198117648811959555,639192322989831510,387003449301479478,255673077327562016,1047758063219585892,9899129769864048,197944258747233600,247382404326061200,606973363901509664,265678338991273780,419458237529265180,2069526621430488880,2132834377627141472,168762473182699479,1362848048740764685,935258512397766376,68911211233804590,688978442649238140,690898350508632846,1412640883489519755,1971020957198210883,1143182600994813295,1114407018636407550,604209029531525460,407838026599202144,440907594774223746,1438319852611570680,564807589543760112,246448514362057770,815124985976867268,44009027462457273,293336479259648700,199259150022656685,885424003318631400,383911257934513338,1309596141423395476,1109815332747430640,232716724599824592,37197282882451952,1487601693847018880,514908981099009912,534551417652154880,1280712711146972964,898480266529825458,667921679698182555,366195107943526244,102227316772330830,1106326531314235483,421180907308439085,504150797644618596,652611220552425132,320909450708890370,165592262463865875,651714662997523005,793226761559115195,741719316227903625,319407617548199425,337519518489693646,1001239586924665620,407852020148001972,251154021782558619,1674033082456616100,1025027475816021635,199384735735799695,334909767309304941,1786058093364310983,510941731162505980,2072928692760025632,45896867281895165,550654686035359980,229693127437734996,2387990442763080,7958410537814160,318274119544809600,1780333019882148592,1759323885617619048,388103484443437770,444366360189956336,1957583416503821301,1027030793891506074,2244762374508976600,230490624842276495,96551987138994924,1447995908198209140,1073418332872174110,587337038019123264,487155715214844930,1168253995462001250,1162272710216535360,38866504796306376,411967925257889212,346190905741114230,70826520291710752,1416252284563295360,346393383206585292,32879257895567730,591710386970655900,608425522258388982,94943259865592327,271213144966484020,862615533611259648,161252865725601235,1125541981456532550,997950415448118312,1910900775428892040,220213553935594868,493501445488658130,759475045198559496,1717068405420445698,1602286437160069776,44525430244607524,222583313850931700,519210642496701318,220618568975355258,333492703315874948,1060701987116329824,469862541203442725,785591222379821721,20623120736333151,412381092121383020,74086981190525831,1211026026927727920,134359788079538690,1611999361078744920,1063258896555437064,1554137836790209456,722425848762924690,278836674883591848,260035808107483628,147407210545791219,1247425231754462958,573182319720320610,737678408603486203,612160433975427723,174617810416003137,31583607672962792,631547267801714400,982406109683762190,889911571857783140,1221860278992681495,1266058931156352998,223709642670253060,1351366275381896145,951242206240392798,344453341833845630,241430498185047732,1072811948305055200,419566598337782901,2151063055263594864,295319799135851026,390729204159134910,433621016022763800,62084454522186717,827628615004211640,189137170933706778,199252740462486158,1202895466473148520,376374912290819820,476909814823100655,433717940251114044,2151418794762905721,1233148492054095210,730888388355713256,1102386914324726256,444666942403173906,299751991440992980,932733118310397300,1241642934417670806,86040519949346202,100263506247929466,334145245610990580,1325401728467453875,242429427742187334,264306719708592174,343457577024754869,402817714078392372,164494026054792565,722927565010815165,983440153904102316,2120961510467183655,111676530622930434,550062462965670630,1580126514559504779,68683756428333730,961380990257839620,1764042690842811204,1944336716560323680,1533312555291475002,271968712832327704,179508435588242361,267679450349794392,819021559540247640,1655140851296423361,1277417780658755136,1778086192742254395,154837112960504079,1376055110999998800,168258263317712712,846044091601279962,24599047879448010,860794672480861650,335741450853682560,7953518660060460,143134720737151320,795033925656994000,1745393519504617785,1585754953944042480,392789994773510361,193054104165870438,1795596346543670174,382656107768498669,803140915675038615,670583952258495228,11468332323461556,229320718317310320,724635520479764341,1594702284028614920,43522725391239921,783510830664376185,1048783317243033630,698977258597999332,659834194318101030,1509020811037597206,22200444193924506,998819616474011070,1652609862996089754,503746640840911890,134447988707339656,504078768200297490,51920515673585448,778651376012066280,746564625741716880,1600764389832230064,114691850975320118,91267025740437120,912486871876204800,800021320986585150,638492759382649335,1119753072069425154,1618246996311344256,245780280313129713,2118342768695484480,921016156567393242,747503387607324325,109767277388815635,533311803410517098,348272220411380690,560612871050847636,1483108558654807404,257677683911239436,86378337828220767,67633490406237430,492460070775095064,187436665706514912,502615876373810458,1321029617743740048,1616157809987496750,1240108067906370642,132977812405906419,224902980944154858,278656059202680348,487837861325381620,807871451168855094,250768274954930640,1127810694079530185,97252718882699268,1683229186568014040,694676945370046844,412197534470703360,1092156894205223656,1999920189269582456,180412087122622305,200417348336446870,380826394909918495,1897797911686819776,181414517821433081,325098899538780760,1496520516219960870,35710639829534306,535551177814169790,134916829383114138,1993516625231796160,35109487147859854,1579606925058704070,849656328654158416,1188720599060124295,719100550767302760,749163910132657790,125340543004558005,931362653945542068,1078976177631908010,606841989325523520,726134122394958225,484088750762808210,2065962490919151552,802233755484482349,98899302371997740,1542521959750039331,101823827508366534,1018031490878702940,318965916051770508,322085157554708820,1030135932338698064,334494875193434529,161365864864707504,1008331635790343100,507536443457476925,583283792283995637,179499788043219894,128685929786122035,2058555968907708240,793506092129221065,202718653570639910,528835866875304468,229459698121766298,439412002193142896,38341992738022920,127780609098763440,558223929294155364,782229688392510267,235952242113962898,524231439879731400,333628605600589134,96792271826679216,250204490594780285,1822626330688119864,590603072214318540,501105764623254807,289123636961836896,534446946633862182,591687495831664792,1171008526877251560,186621561921391484,972123120978619335,240000797358954234,511987006501633412,1153420884195987420,154345504592320728,1736031985640225010,106503429827734196,1597224776206445460,1520340354055151615,1624397958395651106,1844294348133710991,765446476087161612,54614316299787604,819047059940186100,34072018165737660,425813020397009250,304130408247689688,108995569537678093,50366313809469630,167853313047144060,105302641940953404,1579215877178728860,647265595927221690,1478681537821246640,1519440764780823717,35152114353003942,100414009349352520,1388596392749671758,750110529675315450,1330171059007836495,1132430798819244465,1060494619390346268,1310288622652268082,522855257292525375,470117017826091198,1515042475439676688,25366610944193112,31701746943582210,329199972697556485,801282982801105772,912850309623588552,556192540545709842,235383142480903278,1961251860059672880,74229452229983991,1236902929167082150,383824741715027544,420515582855998086,1515939413762040295,32023320321890682,533612071637550300,1296984355472053755,342222417993245454,192420483004329960,1238367135390035112,608210255582807985,288946895806049298,700616560710239075,1165389915903553890,484834908880185768,68511931608306284,443046516385231602,667773729748960875,1305619063036503350,583095317718671811,192800954696029737,528978959691670820,505587411456727038,452306736137458780,230863055240783768,40740510429969114,1113819178323127336,258979037932400975,499736667024329610,86821643126625437,515371712006144488,108448616677975644,13217947586180132,132152119901916200,2005177262392430496,488001308090014065,519547847251677453,126564135117798168,1173991449851191320,84635470484785151,221131451331784155,874544827175131785,1163886453146641824,712794108919198950,477437918673793608,375553374935490624,1101862080472587768,703428845128345914,1883520009627690060,2021684629863553569,223479669002115452,201331241239988672,1892564653566601944,1162167172003049950,1532107698128132192,394628262930905592,1133756570842173285,1088261595925992592,142201590327592125,108471808434300618,542246274688666110,630550497261025026,1909619410784576568,1807230612031580330,936615761177944935,79161169458631113,339191542523484270,469789444666204824,139453571180867910,459800922568639925,877859848469628948,1148516464249916328,54974174814964041,37292232071064720,932111488976594800,43226892772481733,555658460263079010,780580059260914314,285954500864798060,922100000718034680,1519174722947775612,291996463137619046,1077716714695777080,177425988159038200,665208543366055950,589713002186193576,1695021104536031079,209657483475060467,69574756654822410,166391316136717826,228793865310221766,233497136926657614,437933866820495448,111206348117418360,425125430402648532,5496654581463198,439640367929089440,84437280551764824,211049022233980100,523361853857892102,1201432133911359465,80650949037825519,9787061732887286,146775174744517650,1352231815088799138,1291326458400281574,1045607563994023305,428405776647254488,66279022612066880,165662811947260320,604908969223227376,916796412219495736,1109029424078973384,20173460312605540,403384530641973680,963826367115265188,328345773705302344,1031018117192165571,1102928842506320025,1823818209851333605,716637611372834739,22759247071074513,1592812477765421290,1558420282021747860,1086314162501290086,953887826482183820,21172724947318943,211682713952537070,16780705749516940,167771748018406840,206652506371809324,2215724647073266539,202669397610000554,1359669019822558290,337374410503520628,114135069341071482,558459822657323088,868264020393487854,274623584520331350,318072883251006075,562182459228578720,540388196695051796,248465965236070386,518150710056556180,1741854240778092854,939636149303192901,139088048325263260,258736504533761409,78234826505883315,778804092646616028,1221721763618606465,461514943931187615,1115671572124793912,444720515400307125,531040848838291845,54054111008909154,720569111034607120,235945151729439258,23607889928060690,236028963154131140,548637203565717792,408952677180067890,801481311394849380,237074402567149380,807462121867375578,130333013683300215,695993361768281388,1244792808423267796,1947980511753902370,494780514102824904,308434501045813317,1443600056417884376,243984468412361748,597743997867975570,432586009354502498,167234167526853492,56588517073868841,185088273697835744,1217586565317287430,211426346033778541,334489191474283254,784348029167927889,741380423896683918,226668432083446075,775519511933994372,123247875404782579,976075065397520590,274735538153529822,77684457147253625,2068072930842499328,1772897639080131291,1006988929377743015,603331640550346353,1787619277758351015,522460234292248803,1320452661582731824,225189314296510887,466364922200019632,4024398407758645,241412468468417820,718946348777102335,145466089146458905,162506045069847315,299322875718658320,231630020301682526,1751234384966838492,355783581524989226,919907255622402112,1644784215592187880,54678140103772734,46211817939795201,924039061979657220,751934469579189345,744175437308355780,224335817874166404,181653902845181136,1571517169382946296,1289403567964695288,132964101099724960,898874994998794236,210915172022110875,150353381629885938,1219014602737789965,122592569049728595,197032376649468142,680732279047610996,1114262063187442764,198024808822854872,714055155066443565,270922444819178148,490517572288507152,376291488089778968,340748988605011218,163404600221354180,752404943627273584,1194529137716157117,167119290551586452,132179547670396058,39574522313372325,139327839275472083,669552174122941230,90790878113422638,696057253422438595,222506406118116350,176126339818478604,337305205478406903,802553026572501264,235298188297019079,199753779222879780,243494568738219913,1195867296264416607,350649700463433105,1226014073671282865,757185277374960225,1892051880174221880,589336144221831687,719407941958627320,323584901371144550,343398023514337120,370447018496913756,1122691731944172397,72762491728933552,1738658307186852048,398252200654148820,471879904660345395,100742859117955908,287774690757452880,1481375729373212385,585943294095359400,917403930570762792,7252789078326576,18128060442590040,724965933271310400,570484831303983060,1230889371061382040,97259772230854816,121548460117424120,1387727655324304644,1824458271033931515,743400282415752663,1716786384975974997,1909874057609841138,576731850687860400,5767065934438146000,5006039467327232868,4101034347607870440,2716848397431522912,4710152236982954040,1530999955411619868,8401159433455762446,4476025281840294528,2904431907002990760,2384786454507945888,2143742611711582380,2636831864366490660,781232687296314816,878343781651136964,4879473954026543400,1973769749201092784,3291495251621680764,1894644021565784808,4213932610177846116,6068456135664252000,273358062179286144,2050095667170562320,1139639260773208380,5498716617624293376,1220220246582871960,8725326324988164192,3545130709319604768,286236859358084268,8586729641755124640,4644807292353206988,682199655993249768,8173490775280204992,1194909425689033584,739325277616311338,4530748732590822840,525907356991662636,584315910490367760,4176839412020228160,3369356137423659792,912376525388154464,722660934365699304,9988357054148222112,7593678720721337328,6681590323480058112,3370488642606905856,5503089384551503176,823363099271034516,2538400403198004408,10112094504755137584,1225361397926428032,4962688468090600170,7002770679317594328,2467321908965880912,1795015892161960470,4351883549995311392,5232337279333982208,10936141996539164616,3574599839440267848,1266859340601798342,1677125907070496892,2350731015671799936,4371486142906072080,6197543677322822340,10263749881082361048,150032337903445596,1249542960727858230,8740775101383519138,4936476387945793968,2177975780689132944,7995261053801761668,1194372817484021298,154004766874384608,5389930660277323160,1800886919501997972,6759375490186535106,56401582617944480,563991112040563200,1127932797608500800,160502983414983110,962975701888271280,2132170043799046536,2578674924911330550,6592190732350734528,7932777134877357312,8192641914422568456,1379932605528184422,1703953526216628204,5122643460398653440,1008487015525835136,69112439181875484,1382188209848249520,3163862241134050932,2773903115682417120,552299687577150352,527710329458288856,1128185706428566656,969111921010065624,733037589865653516,2174686939663172100,7080464244622468416,333488449758269016,7781056132364584860,9029762487251216832,470614001374109808,4705933757254055640,943796469571858496,6667699296148941564,1127946348487899864,141038464997481216,3760860892410922080,4786064098865664090,6695130084730036544,7936988498844759072,422189278077946230,3377366187202284720,1914743167175017872,840392893930129848,8266886786332927512,905778735493270452,786514437353509152,3426896003337759744,262570585313440248,3281988451262480700,2950332831796389660,1567526929695432576,354897790902454356,9493205123713677732,571893529461850464,1462156695341029344,5381142372298331650,5512324790001681036,1969894622707350120,1197406239587661744,5242729016713613166,29528043516110232,98422496988056960,5905090944819734400,4466075186577009624,9550863280881711712,2885407217636544624,1963945620644610240,9863635053898481022,2970065300695553412,7063261892114369616,1672024728593663988,2357123279234095056,5453266487055450336,3306016677724613244,2363146501949592192,2413707964073870904,1051207154557424564,4371609449873166336,3855287491435691136,8658327500294807152,3434344051986502128,8903397545813780928,1165783812105320512,3146299401978975354,1517456559834755628,809910904361435968,2313929696898568320,2179506303215998956,5711313033212774680,217217709479556852,8344320448396322376,1113793577717505804,4715358723496873248,4574272110248808960,3481003580348970528,1234154005375744404,9536550782819195232,1438376171030165752,6783510840151187520,1958394599940703452,5404090307638945190,4265141374932213840,5321136386294067720,2064002125745638152,1976549460198812190,2573385539643549540,2375959693186141824,4782473488990729602,3060204552212902050,5722736662703040960,2003017943210869728,96504781410723312,321668497926601760,3281326142710612572,10426561198865498304,784840332857993132,1547839350935826864,1382504643994843728,4171095887374124520,3673784155239037950,9046031559068320560,707090639572743624,8249029007769411120,4764773133394119216,5900303207445044952,5661133388574393840,270057009132523848,536545192079381070,1073043320426051580,6300003732827747712,418139737944368704,1812470940609438312,803045876785453422,5171112775582820352,5427015141376798704,1488271247120123820,983118879576698744,7129581150809417832,1402517363271197424,3203861438904832040,3336315350987073744,4733331882070505472,8532072593619295824,1570701986960294892,802446653888318256,858748946722755036,2650256894440076544,543909822071061618,3625906425265655640,2152080708788646144,4959740429720839872,3264868576665676464,5699887059857313312,3668182650007936080,1439804094929148168,7524739823955401754,5729239329858665796,3682873985183729120,6955713778099542120,3374297527400755056,3954640311062498896,9759120253573941984,5146373278818660480,2552550745956229788,2329077492800477832,1909023815267573664,5249866318587485540,1146738153362664744,3853527436119364560,1577656368409738128,592651083745436352,1687297901038727082,4679416384928554056,4808933811631137888,1526391318269561568,759227822056069936,8540938263657668220,3232638363844277712,3842435947494726528,1016774333409019350,7140861354349568826,1482258824360918688,9767049418125824736,2098942709186950044,5181756533518915836,5587547395384608192,4892726978754690384,1910105415448310784,8450146966056398352,3229468244437530720,522441806515865080,399690939330778536,464335027071266370,4643146527589821400,2444013004783411584,8070344117862135732,1504463123938541976,174701765095050528,873470495880568080,1950509203379969562,2146890987530035530,4712607530738628096,4675825863459320480,3398921694452301930,1811757039813318150,3252725079050400768,933009132212468688,3958481187604929348,3237121239978422000,2977772812986985596,5821851490775630016,1772994432553097512,1572402257755105104,5817444016229607744,4322309094898397680,6301956003865465524,1343551373086385688,3530774367377065472,803989223277172680,2589984762705401166,9792835189075435904,3300882466288365072,7703374346217341064,1102795479886904664,9010906603414927872,1123936750699271244,89872017257722368,1011015819683614260,1123301607613165800,577327685214096432,8659535194749012840,960475717912021542,7551263951943867344,4671708825314698776,3269408063488837632,1158434089109621308,450951677197636974,6388171757136105216,1690785653418653664,2065227905750374296,1399885843769754660,6524363895524887840,1470261592885945728,8175661289785560690,2200125488204226408,1662238739120284368,1189553963211803328,3005850691989699768,898657604961808608,47459140511409108,2847423434224407840,7258858263943196526,2401980129632560260,8764458443309224832,7469098110016867128,3128110836865597728,404526293570695116,2700354923749899936,5422259928035759616,2319202190030601276,316229116035326364,3109015511322506424,8848426639674549312,2365005888554830332,2115914539044922506,3502694583125388720,326521268560093176,6530138676282237480,8008671808409554752,1159482844152907776,371810842359460308,531135026969317860,1112950137384551088,9466607059060008,236654786029511200,1893155167726336800,6169382842654263708,2018773025929703760,333244410255941004,862989961937625456,9775379841150569312,2215557603373573128,6006856309831274160,1806502579371603244,3522924422725687254,1478417584740166224,6143605210157159052,409954100640050214,396862660317615354,266116574048466204,7983146678086056960,463497285859146084,7584047127204821518,962715831613325424,6928939904488925652,83268965735011716,277551031221082680,2156220391377280536,612930975986642416,3584280226794247296,5918026928600312442,8425457077381521408,664097778389208672,4265269099694032770,3117245500966235622,3670805532883472424,622027238639947008,1931177766887336484,814689191542599450,748362882338683488,56969201841428496,854500500632631960,1912388517532327140,504692695864204336,57837009987943056,1445861750201633700,2131487024219825060,4520004659659226496,4317555325586819472,3099521229645895230,943638945995692584,2041701628793291496,1397846362064763648,7209447820478516172,1764106259369637216,1427169406161883504,8774929121420027340,7875796072640448246,1463781810752878518,788813672516843256,1737536963701332024,73644562046401568,184103318691044880,4873782248223734784,5826292245424716360,3972363941810771262,6734586388580848476,747729247035439552,2803861516399295040,2177879142677614398,1102523839982673050,2348759442025963296,5958872289504206244,1858940852810432440,3814977332321470536,8275149531602611092,2308087628701886048,4230381514753015380,2149763704400410776,1802865772976990848,1194786232203139884,580355353841006676,1320735984783410184,2130948356367053772,5699279019522545280,4423012263540463990,464471357054852124,7642761489057939048,5373649557728187320,904238233984306824,1720393130199410232,1220294761164672776,7083359630957473056,1468228047563506284,2381101720458921620,7514923921373224224,2909630514875657328,1089103430019104598,1051857954706387404,1359703602388357728,4547014149787285680,694146735848686260,3034016833083336144,829224859608879552,2744417326367951784,3541802879786809608,4925626250338310720,96068354024060352,1440961998371660160,2230533170550344148,59649859982546364,894708587838111840,2620344657195376840,324351076371740352,7068800373682515444,3362544940348620488,10051466094620043552,976552987660145514,4340044797669926480,8160088459385394432,2222820591707728512,131271366417697786,1125133700602830120,3233266762954574340,1944503171808893520,2351813886963115344,3752674006085065248,7040759998104977984,1392293753552751984,7645570718159809806,1096889804612410692,6863841853542982368,387221700909959856,188204728677299134,3270355844501885490,1203680951739339480,328737022739246068,1663525346973212976,8560760883161568732,7345384192170146528,4118372106331955976,5838403039718795064,4552045863375185032,2330606368495123824,874583503721001696,308701563166961516,2213357530282026282,5659329099870253824,2814478680978096000,791593520822779446,3873837509617920768,625904770099255584,248320482258249960,117434316276226224,1027505107313560260,1205196051957797220,2367158733714466032,7158577534917233634,2970158050736283240,5169373807563250560,1579091889449606016,1430637139362400416,7865682705340472796,1195384216938046152,5361607420181356176,603545279816970288,5087324340760991148,1495757450804671872,244197495245767536,8546536664285364360,10577085858597250674,2874865397158638576,4230502001311753120,3847329236341973220,1699501620603000540,8527394545119520992,7160512374152328096,1856109227061020490,70983628440229988,709805082263711280,6588255439571660928,8239466598438374376,2227193935350100218,432854961945516288,721393223954359680,2175789184448981940,4310982764110150992,2930075907524600976,4766450122861895904,2673729676125837126,3041248826070637182,2788124434975927296,2879877843241359312,2151623058793423900,2881099669668628212,6186023501823495288,2052686064548345472,933990774232233984,3331290448709088714,421502891520229160,7586718496993022040,6501724306248182616,3125700494147665896,625143549580539264,261109465918245360,81422565154340394,4885139125160298360,2393346486992765472,3804211961987128848,1104069692270132850,984243994704040014,468460853128512072,1040978347674186240,310115316670103592,1961551884794210148,2102861587287441000,4816005805007349012,1828781823689923504,7213198348906461552,905805239469366312,4295230252646097960,27636934120107822,1658143135977808680,2538019279818367488,4357765163333254896,3442996351061689950,939422019958534108,2056503865362783864,3995410822851117312,308815751202593136,6176043438726605760,3581218909587606336,1126709510715497680,8246069258973976464,4743658791989112996,1903425960258742880,976391618333202456,1551938268249107586,3514052714055029846,654497855201763360,520518904239725064,1734986714147002920,120009539122549998,4800170463636750240,8017345636679124736,1229555173146056460,91662607903837752,763821473716690400,2140744767591304476,2458678435138731744,114562906791042750,2673016931848515000,1076650055256695304,2532139282057529744,1444338863276852832,8915853017073600000,304796839297763208,2421164679785038512,2919434979631967280,5723739021376107552,991372280344659408,144832780853213268,909044248981629016,1051561324236675528,2243956759554445992,1390276830642756516,1943375046248588796,3189387352114193472,3245162465664865040,2321421542550750420,1864307422357920558,5955892457811723952,1185246858782629104,3472941392275416168,557841217755185064,348473251272073608,2610191082900430080,2714893086480792288,1906357952688312552,1981475601081028272,733242390917911160,2217935022614652474,195240581636587584,2196359926137563040,5187522619686528,45388826253345960,64838328084081200,3890128554753408000,2696576134340898180,1740787002046308546,3573112739929935270,3146035840839795420,2193545896214706336,8503613502840746010,2347829429905723284,6889889699641421064,340026421419208176,8656787672603991252,3254197745787746658,5473546909436176920,2389804026396287424,8804727924326535006,63496851975799704,1587351462868987200,2948258755332066144,407040359762415708,5233145813922272040,3759987603717337664,3479246737558134144,1178559651754332162,465154965089909594,996222999508037928,1506599648168812344,1867847447660879476,4056669894167316330,804025244733379584,5118838851077048272,7981502715117048,319246061764194240,1596160077239603200,2692397688980318496,2789018795118715776,6946461017745980742,2057825555417757840,3699504873210064512,4856532192094017710,9517167610045528176,938286870706857096,6021503735762685212,639229170152012688,3196005215130605520,3429238293765024680,6175448933992294080,2494802707782346368,1012793411108157508,586175997688208928,6631195614042632364,526281829430804352,1973470016016779040,3455022856465407780,272994225421100544,682455530874675240,3703444802992768350,213211350894893696,4264039367462181120,1854417235927196064,2268554386954858266,788526258374354832,1368648564887408112,3693938688155806190,179685390600055968,898387415223912960,940467307312085736,5268782654386535970,7276813997120935956,1577778317807083568,2371046407303123584,8509712004743038848,4549088355789887120,4110074137209798072,3024831141139013208,1070270149730294664,2272249321143119976,2943103674432708444,2788207716632547320,2856964075056463824,7454664575356334490,926050058345306912,6022725214865412768,1655258664602220216,4597345489178438376,556406153861293764,4923697635394585152,1916545005730063020,5386486341662878230,1052919501221205072,4047901824328558640,5644833249079818948,3874854136550086740,3226763787232432216,965419603668466872,3454155716851935666,4075314654599916462,7708346541840946176,9069967192337983008,814491166220859212,1287596454908434974,1297763735216493144,3338170600701312640,2119731557241466776,2212569175833873780,5478672906475210456,542099713554243504,1694454135461165736,1584410237791967344,1276866073064632368,2204477232540002280,3607859112538290440,10321298154626849550,2178494695535155008,3549316070080963536,5305178830763758320,7214854029708306816,2096059527969873744,1158985781322736896,1561587740242505094,2034901736817513572,2808982012566294432,3125638224086231412,4993050163432961028,6403381473712871340,4838223007978275240,1185229329873700408,7484169931350888336,3459029916696045624,315049589510767936,2536954658825556732,3595965494148052704,1072176481683981482,2041044335717265648,2522144363939789760,582325305960864312,2185688171510249562,11009754678540288,330278097901885440,1100878519974758400,393186532897878216,8846307471322810440,131870505276165024,852675640875278064,8526380969428273120,3847442105389876992,1134864688310745348,3090538595959338314,1558947180864599988,2619692731291019520,784797515217344768,577815705346910724,1397360168589885408,2046150587592295408,4307981352576659136,2156202269012822016,1634378040150517848,1807273937876867856,4715729141505698688,1775847463922544892,2404544795960000292,374091534416397312,215207912165898488,3227976528383264220,3215730360653339976,6189107781789543168,1256081548424058624,1809759177404880240,2102740830726743636,2483508660092752176,4057055332475343264,1372919318198831016,944649164863684854,2918517247480632588,357519527568087936,2234398640815733400,837693136629754002,10035608197206255552,2325798835952360508,327644049442895856,3424470781869382608,3901752509416305192,4074490144842534720,4486118807049673070,1508129554108574394,1313101339882433808,3996041534371764024,4278363050603806290,190089755859226770,3168023060134311000,1151940213485577120,1382152319801505144,4893109575475068970,884923543753155072,1106105709002688720,530878341740190462,5042517687126219726,2297449655001913896,3224372931305202944,2418345699994340892,403327381194483198,3655662016563508248,434916037920046884,5056637777716578438,4717585317090165560,6402383995745994228,2054790529004578824,5640214911532698350,4833049820211985968,803460993396068064,5483157464439876872,582108646304837604,6911034934249017264,1852373757665956896,5948768157633832608,362608335867572118,3223043221914956640,1617081753785859936,3764968578284679396,4472618697987252816,6069527063456622432,2373977101116716088,7804329666533950848,185174017153166448,5554975786727375520,2412102330762480576,7147333014152263056,3478058509600829340,1836287193021148340,6558030908015394492,167271951213057024,2090807274198523200,5035216320366552666,1530737243714085984,2050318025470898920,2873833432048685268,5840938830894386010,3271483315655927408,1872677855454634176,914338460485777458,2778862841711824248,2737923421977082800,4070926060740275976,5256297621816439450,268570962325782264,272332690954057272,2170382529422370816,4811547376840671852,840987181599251550,4684005327263899136,5113355151141860184,543974605562576286,2331217016377185180,1599470184960798264,2026915107447400704,1456040937475194384,130848788346280092,1163049091110650880,991235918705045552,198630690866739144,1986219384244814160,2957724807598555100,3276857448979418016,356614801686907110,713198174890723260,9934519263414576120,1505990700112770528,2030835801601787994,6679072764272596230,377482872291056928,2046091166541857448,6350119247209249680,3530659108517309640,1035299719695829520,1423668222169858224,4371404666529680040,415953730803071030,4159354002616326600,5445428708034469440,140915538167025738,1878791041102744560,1082620638444451992,5942103784169730520,7295326897004447574,3139908702759935568,1244800014667409232,604409075305654680,6481679939933630544,7005380193297614784,2936659315072044672,7688998687656672288,113654562887756198,1136495537979036060,3166423978947984072,3227239681724659552,8983967003804423322,350381712935500452,6575567112448809696,373398644584008396,285921886771975818,2042209176516952300,2366363705603227260,1121712379440874584,384687538336198922,944870752100005848,6951778578761214816,3776386678618210580,1662094829836794840,917475389085724356,4510401802421831448,2085567300165172992,2865004992630844140,4587352385096434160,3012677715792010464,1254272962133128896,3648594427528557860,79709438813631924,2391177756750369840,6029757363015572864,1603305308625931020,4005870832304251860,7162391519019020736,1485225687150610416,632609980025343084,5437028828776288524,1933913254217739156,3475566877450569600,3687187989239601470,482129781268339584,1214573784634130472,884096609859019656,5698662606136194534,928518606943275888,4355335331702081980,1484739505335674040,1131286000752158064,848982372837338056,540563512303542672,6177596355546281280,4606301278782376596,1246145164870873536,712156213373482008,2227679287444644800,1625233832432358810,5085436962134441088,264379964984810848,1321841544915722160,1205663926996124580,66702847847586570,222333023307130200,3066522623553306168,2453004144606940848,1019836069567589040,147679473627789696,2953459247917683360,892815340315122180,3508869865456240524,4180436538915295648,2536665446058219072,408866099845083984,3577420631173642540,1542365490951578880,4102497597127495536,835345738838865650,9209504802441265152,2835993207746680656,7620308599566884760,758273754893446818,7582403194244744580,72466296229834224,966174677956603680,138936720135226572,463101978927842280,1031293888571693124,5189596982377827840,4685149675294747008,5491326449438048916,618360335473011120,3091665338282340600,2835646040029781088,6548707414031376060,834923902134605332,8348870835950825040,4530512833074942168,3727181021080455022,4747376768878253376,2868112762703879616,5913385154674006870,1034824362306252342,6802497487755228168,3279139334945283744,373295126837190096,2332991651285225700,6416575045714680624,6623884670877698832,502454914470389268,229830806706189136,1149103353274668960,4223163419110865232,2091934488936930660,7847182242123049332,2971688079591685872,7240927444567298048,1325961507346262892,1915525208011747050,1182179742630155340,1730691869655372960,6390872677398242736,2134129763961456128,1086681093944261952,170745892725285768,7683226280572037940,912546698084925156,323118276797771388,1671388595358574976,10537681258309290804,5579474160658165236,1832223813997420032,5449382403061560852,5400318873325224096,66546923507385450,266175952796041200,534282542620316352,1246048424654889042,1685631361190327586,675749119699578216,771997140625977660,3226275049013666928,2356614060031521888,4415008331004270784,1593491666510142864,524303757957028176,1595708246421405732,8662504219816128384,522909830580936084,1742955878720268420,9211964162999700384,2653585359208976256,5864780057786838720,1068740380833363540,5024390131929035916,6379359371485301248,5576758665347879016,3947978163240677940,6471662371109528436,71004715775913480,284006333407529280,1792305972481403504,9399650525292793842,2630979997879755456,3592250299403675748,404053893980855082,4080237289040329506,5679325458817751304,2192388713682563616,605643582204316422,7409401807021209666,5299429366887092640,4142347711011380736,7137270838180036368,3792403739014727580,2479913636796125424,2737941424236058920,4171762998202112712,1954921860802578060,642980509132155744,948245123860523244,5589505892214374130,850218875515883644,1999785785006622276,4152416987037620160,6629449314925830190,2215874772881437932,983544086511582696,6225252026305902016,3189870160529193972,1615828498483008348,3650771762546868672,790092813139226520,5643271075025431500,2153309512264201016,4851872134125155328,659020120121790420,1882831543760288200,4223529617078136312,2013879434558237136,3107735479610773632,1616171349226191648,458942317269363354,6048425544335966352,3185719193517213168,3209116708485768096,3444345652603105392,2898897680979364176,689640736197814272,5746752524850214400,5270068100627000202,2579955921901671936,528804882578850020,8460504741249406560,1030066216457482248,2266592454516557376,3571047831691556352,2332307614077103644,924683611725177066,4874762749797210144,5997196021680991800,3621886966619447712,2847032043169051962,1141043930338275348,3382192607806084120,4006479241895263650,4287858181130930040,912670205781471104,5445872690482606020,1281086608128430512,408992558221118934,4617160740943516476,361193041591382112,318235519767938778,1767897078718032900,9212593827776321664,1574840204396965704,1444586389793610336,428211076681063944,3568268138649154800,3532130420528469960,9430215765221176938,3776981932833961616,4403041535461252032,2264731806235221792,4030001926580461392,7225778641752287472,2076058665457992468,2889448244644596000,201409225621984296,9063015092210416680,540049199346233344,3178511972546999760,2407903248503133180,3079278883536381526,4129177136826911460,1112424709039689408,1623526536494880568,2430850382995216710,787255652130527232,3936104502020293440,943528440962843712,5346122175293362092,2961737495858720784,1391866030255414272,4394410303516197552,2924651263321929488,338418644548101216,3010330373475054744,2048150410183455072,718766316520384752,3033486503157476340,697632308856449520,1162669184874686100,3665378465829967416,1667077024994327136,5881750990980636,294074566336665300,3528739003423378800,7854674986098381168,1540414479110747328,376032823035920532,957391067372795370,1450377565221564528,803809007854622672,2296495771490381280,3111241755152124168,1925905193084891904,2365846318979173800,6983414877955555908,1872479412004346052,4153449955162890624,3483505924620689376,3083952642472906864,1727861092857972828,2007535308673948992,1843181340068231744,2299071528172929564,1238779902506109516,5228447734630104984,2109329202478037232,9339026964136850376,6077033327854860448,1809403615413122940,213712970633705952,3205553012289546120,2945733167541544560,7967471801736855744,4814819394101467492,3749157799126073880,2111679043220989956,3160847998476445992,6190808624007393024,4070425548123116160,3039603348369912348,3144646927383190560,1050395734300486140,7880009998096529272,5108512728127730274,5552379612857672784,7524703856382134464,4371448656986850264,1927835773289446416,244081796850891776,1394691532580206080,4447860495985027152,1735553126336054088,6993820749911113836,1943049944531947392,2705356857050430950,4636127042286732972,5502356997349030080,7543624644013479520,7846412772442126806,4217348996211606192,3670316209231627032,1984657647751058688,214721738879876952,2881497460252459122,111999337170141408,8959551264408600960,3645240998964646774,1384805930141678436,7397121981029184684,9687405641858410752,521995207402797876,6959628707391924960,792177779292528432,804831299073496584,1863350444315869992,3300559097804430606,2295280257955601364,7256377318253995008,5384458394447213886,4616262202873117248,5135708916888823680,7069688339292717696,1482188210898447096,2377277782955017632,4803354998756422976,689164781144706000,1531409646404835000,2722563670091471740,4925419813988772672,3329087161288090860,1718338902656974424,4441122728544319884,1745505586003171968,2155773124093060032,2596782990304339776,1700801041480549290,6506542835825256224,3002254608413257308,3172501257222751272,3838214297625046528,5953425654055241088,3002877274126537152,5803324848578695416,391102015847623344,3083789180828451744,4218115509648681088,415017337948869480,4149990044254678800,8103418737779411568,2141691735289295016,168410806073924520,2020840395549725280,999802807465890816,3153251655087459552,2077497018006059616,915818627437052592,2054689821201447528,4815746951066794944,7387408444920842592,948010348650875802,84552138204894336,105685503470616240,6340850061821978400,2199511706523575264,1384799841378432336,1095090619590918048,2704416956965330398,1276456125744436752,931785545739890400,9982936722160946412,443612210719808286,7093864394605073232,585854128009197516,2252886344207277312,1853298236753145882,1052445649200238920,2388526417231320384,1729796725554177456,3104820896453784648,2663327132988027264,3563601755565897648,2523274166028342304,1977296098735256250,407105725979480502,4713501413367601632,507661359378535176,2083603342892493312,4432248987325195984,2643291197231543496,6012434860186766256,2200185165459393546,2336832335393091288,2091882898683966384,9567544485030370740,4700936160379611792,8924218028266964688,3632690363246648004,2775026438762177952,9718905521729784978,819463870123277170,2743835886643591584,7198564501248509508,5821548789490579628,92763642217510236,2782786289160190320,3281721916110380256,614929599167149044,4985010348777737712,309046250337753456,2746956383248068480,8571913003402033824,513850277993768892,5138275697708163120,1486596098859779640,3057118517297144160,1260809978063958900,920542913517768768,2821164853050757428,4556793863432341992,2299387042752552522,1162503770125680608,4361795005869658368,2523558453440459238,3545055867857701184,1780467180124021776,3201150010725790740,2004218778359491000,1448821209071994660,2686690200720172440,1958996744178527232,4408469172189276810,3580886574242064810,438948376223468144,4249037841147976860,957093330465736488,265450872197558464,331798924581545760,5751629677632301056,894553671824514672,934027015203647658,4526165637712565568,933628529284081136,7909032960419298498,5474919008846955888,8523690899384201580,257143881134390544,367332164421879240,1222800081312747186,1616051569617886176,616540185450083316,1081693597683254840,3117026809248405984,9949824928048956984,2229043229986243280,1843382295535316316,965739535056443358,1823520834605485952,7705066883838718716,2400196340010169476,1858934601622676232,4447482404963589648,2051607729454220448,2908700881089498404,4962493022935386576,2806047578040096240,6852360447286339392,4902763053262455612,2940205884631123968,282168911779165704,2328307894439271360,1122711953931410202,1877993784213436326,1853633098825771800,695491831990954128,1121923326970261772,5392876181540138136,4467726871622564616,1142019231918323424,1918798429830603174,772315857861758784,1975634885174222592,7503407588245337088,9103381323648069168,4702323936659791716,4643022420930063456,1350635684491165248,867547784098962070,3051955651357051362,4144284375750831960,149490583903630716,1494839745697709340,1652123476286593632,3199271814056819008,1875225706151042208,6947439236531054388,989170305323973986,957793737024641088,331122431771394048,5794386349255454720,85196874891516684,3833689856305520520,3653044908772176320,1986901521519491904,131153074151797068,1218084756410634984,1418317339742685792,1193584578478569756,438945196588996350,1755703151059273200,4376300737004915136,1533724020263774072,613684926981616668,2322070106184845280,1143198684040001040,2221372433621705652,4210787524389656688,5051045903074963128,1820417276398443264,3495476034519515112,510852611925039862,407107515244381776,3816095610104754228,1501094298662654824,3180001987313249868,6104329147534029768,4638751923878178912,6128937658983483612,6544702596294279690,5624922433394268240,3379364353993159620,7076296709214768240,3731361359169518316,1381149428651528400,1103475481687450368,3241910480941190618,1107539454605995302,2018811876237486048,2444027545719995704,5712937706663225340,6852565231814998992,2073083443028702808,2213143797199660992,995664620248083324,1126758503412998224,2343344388929765760,4657932296393485008,9709089676218787878,222339596247672582,6296723471416857624,9933665144489357472,3786068657047099248,225747673887400632,376229482490895520,724127868381943476,199764910813025376,3995121508752017280,2373297377052715020,6963056747234671104,2450817219226958890,416653277864866488,7279627119832363392,6208640721454174052,3943649534883403356,707132575267123350,164665893331553680,2963854978764917760,8524867210368366924,799150291049424456,1775810984276269440,2677539512449504368,4980255380879475300,366029614082865384,4575167793038773800,6594741455649387656,366174836279298612,2441057592934548720,4959691968985553376,1642338464138704944,5319335939558958,478719057534946380,2127546139228219200,5040831112954983936,440361689621958910,887338559649525702,4014966423878820432,4158469563362457500,1021185123896920554,2269199888513293320,4797478812262795416,8686291553041569984,1943818607456772144,2167673065122992380,6563763439523693952,15100011962498352,226490159374795320,1887334497489969000,1823079959583414588,1046721427073890304,2467683619285437612,1996761438050418660,959811986905771184,801275477841045144,10301657514342153480,4534289886418679130,1743204134152377864,3116527130697970608,2042554028894206608,2115113896470430560,717843750001542912,308073815162964832,2587705537340673078,1478623199479922832,2710688405945746512,7392436070259646080,6283112406768020052,6650595397199238792,2203893551378954208,4970551721332448592,554312110844370468,8314313780548276380,7328590831641591876,3325438250953048752,1108475416897997004,2586928777192728108,433387784069330832,2472389921247873876,104666337003599412,2616542646145477300,1662200155793393568,3447368101198457856,861772370308676596,5600326977413922978,7865397119409537024,2379036955716454560,562228607887879128,4818889113572734560,2030859769989902896,3200005341461713536,984583639190467044,984760627429381616,1236409968382116480,538649381116576224,177591509732200338,2427663541669052856,673637359281281820,1076541323598157424,1230238809316963410,983530157242578048,424873934223048968,606935903668034760,1810380168724905360,5471840968579734190,1708404672700393008,4593673841043970512,3874042540280954496,2459806404381395640,2772019342074990960,5947935189417011968,425720280819748284,3010938624335085912,4668876907574006736,4123615769856439296,4342850096950275048,1075406504317392632,1841961078499905480,1623687946741536948,3181432206831371790,3669288301575806490,2284384552033418784,9363627251834717376,6380232085039766112,629960149050877710,462215762005349440,5546343661864032240,4289082522980082168,1951508328102962694,8008255152121580064,2690285511973032576,7118872581293164720,6559007638294383678,1427075653689505920,520112093761750376,3732900899466765264,4655468694620970072,1632735396230048840,10465348592217790656,7891565471392382514,6186774404010100496,2200668269957957952,335976411166223496,8213056545000502624,6540421954334615928,71634797755449984,1074474404627374080,27522455130976806,2201698951002925920,2517828364816597536,5582432051995948512,2294675711533095180,6850390692222388178,3206250182708652744,5411915907404510520,2313519368263993134,7785921261496408704,3246550103125407744,3925990603150912604,8510819019573215988,393400256836760712,1019994813179567428,1166239776699209664,1169103127556607936,127524603495574250,1093019642282340000,1968942373920952812,5156098197758764130,1497278783930031456,990326402980826736,1309588175556526464,2319894644991749232,5127746672687285448,2074939543688301952,5275511989002414720,334964873465189010,1339800177689341320,3500071273305372720,2387962606765802112,439414054215905550,900198164892690774,2014396779385715904,8027650439686300500,3072884345176294152,2086837164758962944,3402575087727009660,2588865463638631368,479617237325596182,1114233648218400288,685835196637209984,6731693896734859608,2971411279896878104,3999735052285323384,7617725974786140576,1265088021815239104,944577229158295518,1217616012998311788,945701901506646680,1455330367004716728,2652385761079983432,3719166812716123896,1904176605008182500,635676376242170736,1702893159538569456,2594678672553041382,866547611781203136,4012121405845225936,724329392233357308,792404176664229372,315053812557971976,6594601085277723648,815917051348646544,9178660386377996580,4475009536998934560,1619614842905571192,8968319903846407104,5962827254052824208,1431438664773832128,483006672660558464,224449388318141190,4039910090231309820,1001179091239600672,3559981867960853640,581775577190306256,584117166633454916,2383710138785475264,1035624621892014000,2220656764805756942,5088036916051970688,1381102532835561504,6771534622519697856,827789901086441106,432608045339828646,2520991463960231676,3818999145124267008,126537950934104952,414500103918596376,8289634954312039680,1068820356606101712,1870665639753599696,45729439033120488,1371822415615113120,1088369474940439968,574889936603429688,1379371286202244290,1308448162532414208,5266490927269976712,3245837972841164610,6173840817501216750,9489332716804549260,755444793390645696,7554113358679307680,620876378294340192,782596129295710848,430489171225393244,1645074217075056228,401269773094178472,8025040017601069760,6716870684483254848,4497884432138547252,1777854216926291360,445873559883978672,6687807174591525720,4218363893907594756,91657077664787424,3666120720144514560,6611880699950106672,578372122914644034,3429757166536650708,4960007264530530160,2559887634187246176,2399761961458507560,399801836688113260,7552119273403916916,1908603386601109632,1628273707031538784,2957887302298161810,940468532455193280,63976627841253616,799672424817891900,2639023751297273148,7360176173631178656,3253424053005785016,821445296176190772,3146753316790527070,4475953188798253920,336546635819394936,7330139443680212964,199653783804091530,3194319034111066560,1547856731246542992,3666644355002013252,3012745633919374320,1851026136945192640,8084736026116242276,4484449084566681528,6264712261335450608,1758320043979001952,2044868166374649624,9212570932184411850,3873827948363442576,2503631471486504832,4883286553543497036,105114732202994976,788325566294957040,1867972479289930896,3984727148896943040,9187170624196975404,8491676019149900808,513577270310499072,1107903095471320776,4539439386174182380,6817417602045770874,2383964388478899960,410852654628911616,635423401135654074,960395078535234594,1716114448276439040,1117103801557592808,4521755880373089132,2958110915565339440,775777991296773960,271249267133841312,198956120315371914,7490647799669759922,222680154420683256,5348132834249716620,1130265214101318456,2557951335785301840,2927915430249087072,252157781120446752,623478223078842564,6449799374236829282,4466273521490526912,6796735885611200628,1223808367059112016,2351663850129494670,4185383717106042048,54844361694142656,2193677263132631280,4292575296778523760,2453087173913196440,1404658774044315720,3974263474815237984,1028981640746071296,4470326445074697504,3854292584341749480,4633456149769498656,7077520512740920356,5569061960399119488,242107380169243568,2766818878623807360,9175057942425153696,8536629520917023328,539078863515875424,3072752386151493888,2619068618292334054,824690391335487144,3941753056893294192,1826749506888088108,3138006063056062878,62007915432790236,1860155027163516720,2546027708686576020,3111210505032792696,7624899287363728512,386544219993671268,1601370997481136552,4307803834186700816,2295064271915104536,5767521473802069504,2524089495305724156,2474896472684329860,992693039752355328,1999189091101803152,3035877542342018016,3973588199181054504,7650287952336575460,419051273970536328,5817928797681778992,1038671423089192464,6921391929461399808,2294530925549195448,2169460100306631132,459864004846117302,6817626626663620584,3904689526475440704,529669171334854788,2042551607772284928,7272658956634853320,19433612641686768,97163756583921720,971594501278410800,1702214693952574032,871065505311790992,544682912682451428,4538823091207472700,5015770176715746960,803973516729117672,1119343895695398708,5693453627214246894,181458786388073604,3024179057004441600,1412082976060450350,3107241747138407856,2831884216943556960,5257959819357388080,1112650152113291152,1665103270993530858,583659459202641408,5836335880428206080,1136224191840406812,2304552885470575446,5920950979587967488,5825103237860934816,4256655970855015980,1434318607401784192,3842396908146049896,3851219356511427360,5911458570836336610,6453326968542154320,3981484582998840,7962616179250920,159245264126523600,4777146148334076000,2098986395116623216,634150982221546680,930697527683058768,80239959595507558,1031610889891185120,3438550527342836400,1095988226618283226,2972585775109816470,934485071015802900,4304016864783117888,1056171484008365472,1349654252428483632,5355950244421994160,349303002250666356,272911980912849558,1559427897149433360,444815399875606812,994528398091623048,3680544724201602860,2727112204380674088,6552098338532822784,561231678282850036,1008517364761199364,878033518280864952,5795573446919961888,339738121382971968,3287590374855040884,1204911554126479148,1899680915268140760,412648510916297376,674863614875610534,996194408960750790,6826341700973853432,6142759644817604016,3220825233952386810,3068701269988240656,2311116158484451872,1605287926083778992,1125654718750128324,5139709952598254860,4316831761541052096,2211670370380553280,7788335720182391664,2145821851484768688,3061017728829934848,4523504328015398928,5767720551301410756,3301154921027277450,5125252286363137320,3961067649851554368,2826208647666327456,253133597680858926,843741244898038080,3527014238682503652,4238669856250678266,337814052372398916,1125996910115351760,1835085618194443808,2263313816084844396,3900229709987510568,4468326033833378432,5937378503338446336,704406033474409488,452892419732892612,1082484275644753164,1458311769995345496,2829780432425146044,852021651724324788,274308787878071616,4114449355259987280,5574538644971718450,1626148891853278332,184023193015460664,6440526132629520960,130024521316818216,288930567150430880,1185814217854274976,4677648340496372304,4709457500585571250,938550027667217616,252039427700684280,1512169502154241440,2245112344955382120,9420201172265019858,547498026717650688,442014641969088936,5311745249542899870,294842108271157414,1306483221285600576,4768554465746762400,6376217157019702368,900636341392123578,3536731968329417760,1705776573215883096,5984033693650251984,4176910132932113136,231163452692379460,86996015774014560,695937259031593920,3556807972095678468,386362896696779040,1569731774969572488,6772069280632672072,2499330575465823360,2881187053548964944,1351641114030956288,6149176752453426540,2151422717927205096,2190372041750063880,2823544945613096892,480314961478865448,652557571049557128,4350190847797855680,4469766690060863808,6012919716191805912,3407522244525398496,2974360824056397888,2237105743369773264,2322790343797855536,5503174869234104784,3463951506469749900,1644505432716890688,4042174616705503188,9071435100439118610,3653508836058732096,4455472606024353264,827860635316287726,778355345379824046,910266774208910064,2229627419107630608,559430036326351308,1012700983056157296,6749852247212454016,480328759371765792,2000996519899530888,2156192492933192436,4272570527700976164,667831982698803456,1049047375349271548,4656949774952911884,6496610051831527320,487284424650141728,293511881335680744,5136230062914349980,3283567785744797656,784673493986257344,8967299248598618880,3631601793268617816,5336405418645200640,745049852470033224,291965497293604874,5677931842033604472,4110237442211142900,1203236814011436160,1799047591349142690,496735543835998362,2046573729674946336,3780961353224360088,2475800242126110288,2204004480459460254,1288437869028258048,1866645551025500256,182703680958392968,7307823006494959680,7901163453765404592,1988743735935727304,4768747343970324552,3259497952230096348,573377283955705436,98853171190450560,1153235828942624700,2016398139876572696,1403238275705380752,104430685420486656,1044260520169144320,771018867942264810,3191326413910811232,2239890491703185312,2055338860935273672,10197246085147173816,3132344198999125536,310968909769406472,1236078931322988738,6227861846040626778,381914371195872768,1272991418053570560,1303884883513154140,4839938362720531980,345453110548989240,2072626693658578680,326322289165155768,2719231746778636200,3477011908938037696,3484013761061124840,229745457447029136,46102426896200906,131715374834345280,5926928858816684400,4377465797204381850,4567981367588694876,761943143468515968,1536752066418145408,7497054633668806764,1689484297226043090,2191100411052911872,4084582974702250392,1099671670897803630,5783107801274731632,1139923167893552592,2628027108939892968,2311168700481093138,9170673878721467592,6356120775738974208,2902133844109925964,6595362442045018152,1757469808283059584,646933488681987128,4585012760469319200,7162180351809739776,5561889027214019940,3423477059593180128,2864499477714847140,125657300761821750,502606896923223000,1853441203466643648,248899828057303472,355555402855456680,133987584004192818,199397440414180624,6828140697692288544,4420584637884582288,1928834276204817272,2088045459373455552,2636873561630797824,4456574323688676550,6526101475706214402,202475569700855952,7962321010575683124,6070682474846040366,2078947308277580598,543878722508320128,3625697224431068160,7601068391534583294,601247494490187226,314161170849502560,862354664411979456,1293212632267259596,1536975842652618300,5088574017747864864,3535593218446263632,2466997693285455660,1507019710766238144,2798141230547936064,560410092730816524,2401650936918010620,158879973895846030,1270983374807053920,7195307214019130496,1021424678319366218,4411945021584143376,6241359019157122176,3875414814557590656,2892564944345021040,274888714345317270,5497530253335238800,215050895770646016,4300827001269010560,2466026755421884872,2258569755497388312,1396317528119923776,101005340802509832,4040034290256594240,1491129283559862672,835273611531941312,3047616429828978216,790448861149293048,4304747333424495616,2079675637577750256,5826556390393300284,2353388371491445230,3052623268175252544,9657406315673693568,490776370894867334,3212935747651895364,1099048303199130648,2594772370925585928,2735905200192459126,118734926466889368,1780944832333748880,841404481367323608,2263389346065784230,1114874874903809342,5481597693326999904,308192364439615296,385223353149527640,1763861809573300536,4992565657904702460,1778473657918413056,2801421095206545414,1458072723906317304,625813409932781504,1283203651531036572,5202710754704498268,3571997617946108490,1621046629248733440,4844469966251934480,2983460642806777960,2560703610327351390,572347322123626368,332719159227973600,2495282905026027000,4499672175178567812,5456589324751424128,29515939249512192,295146287913714240,368916479814870800,1686496776092620272,4849727061891299328,5069153470938156336,1989855874011233784,2588008783732387632,5435968399614610992,9988686191947658598,6142289315011949022,3301297173689606464,2738198676066507324,3856854772326894840,900858748107192556,3181842110214033804,1163443270662025056,472171597551867894,1264484890097295132,3355803888154005480,1035731785644228860,1271440978671419838,1943442734041538226,4050357544417656064,523066119925558944,3454872582610243080,703913449232468076,6033275938388666880,7818511257607059456,695408704025058128,438324757367211252,979369085401600644,4976984238656927680,1755684526861479744,837161776692190722,2584365538987633488,4520782095205211220,8810795634179606928,4830764898725809956,447236817523507728,3354127179763850640,7787274250205615536,1323205680405565368,4729751617688065200,3102649316494504384,2859425889122596932,2072475045066161988,281095214182961728,1405413656299653120,899310884822524944,1124088684626264420,4153604306647747488,1274112753854421684,1373253718185073628,196636093079546088,3277122675751615200,7986981230299130760,6588855687508371522,1733095782838444860,332917153740502240,3329023686703314600,5954987484590047740,860534890556921044,4720211436419683596,5391803607504270000,2937414616823276930,631717354975138830,8755939196890790472,3334004014807704760,8035765095316772880,5900860133361110232,773948946637794224,944161667761402128,1908104881877845560,2513100135174626988,6330198643658925696,3355859653378755264,6968424074273074854,3587538827684351568,8347452976715148576,1469985837394510656,1672003008961227504,5805633227299141104,930108308181427968,1104834460829075856,574174169102640204,2870743332827834940,3088648476041919264,5586727965832196064,548987052734824070,3853030163574290064,2319245467629674496,421191939386245140,1362346322171762070,2770734719960860032,646254695252336912,7385439884073692160,1270260900855435888,5467100635828408432,93464486795611392,2803810056163165440,1040557933499466424,355456029838688658,161585298775910052,2909354472590410416,976063405364110548,991823493825937956,6103226749106426688,6429543411185673504,1098978373596309858,271336242028131162,3617655852781487520,10172960924180318784,2257713825435093652,2229177439512661188,4861825260281931480,680929583547045624,193045068086631516,2481897761045856360,2983624055915548272,1356434021111686848,9949538559178008,66327310445682720,221081213158579200,3316070878342992000,4422848987052996130,936816213571792026,989623707940833192,4156926703185635712,1125765659807688870,4487391717479327016,9469640295176893128,356008078520398572,514872445902648246,2347130363877344344,1988125613009856540,3238944048471351384,3164556535882721210,4780454426686661310,270632046769519680,2164960187077976960,6272238797817102264,4228295428893593304,2049442679548503780,2848241018669749632,2431107816610531968,346059140032475496,7785984715965002160,3749735004558350940,1454710633395578512,4013994994586676192,4025207712042564096,4138934376759019776,3298596814635623880,955002767228510670,522968036548653952,2148992621077535136,3542539898062866492,2205773913984378648,2003348348234962608,3966665916864100608,7135959605891674112,6142220660369664396,340895368314470304,7669804987940159160,3134147951488479390,4403889130902921450,3914104983990435240,1769658340165217040,1909008592577767884,4191981438912373216,5107436555112657024,4780341635900940072,7213907823988123584,740737383806249892,214360587559874088,9645797816812293120,4576273084710487536,589419213212270910,841990032034593200,3179935019667355848,791549661571917732,52618018777481932,789235209878964840,1507657327513414848,2330981130384844812,3026802931947616644,2150170600469346048,6079382199649807552,4788380625195675492,94247837834245458,3769745988574339040,412139265096233664,1483864176166178724,660736682463777816,6828113084632974120,2975234566503618336,3402011577766871140,186670073185194576,466654444432074960,162035243769309856,494255016489536478,1753716099745877328,2012638810411925344,7390211120274855096,424547890820138466,5207787217499017644,7192648868989530924,782254780977373536,2234914333951685240,6263393560702364196,1235197643499057888,3347626823861729024,3435037641923612466,1621913387154253776,1357256314540194744,102989495021481504,2059698358280861280,342918092158412652,2286019012640670720,536511348066843720,4470729197946744500,7463652346113002802,3225369943842609816,7007021283724755712,884612288037186258,5833827743927621796,3624069567543174320,3498367452337687608,4490509221238571856,981865340571541072,2877057198427382544,736473726078119304,3089295875972979320,4451531119969409520,5334329402147064480,549707787944229772,7999460948549907936,9049316603254775208,7429428463147925696,2977916840130059136,3734981103779868576,1380937692204969216,5419529416757142216,2814379409805318180,2595546685678979208,4348501632742242150,3322148762996222544,1757091498032192672,8173249952826560304,623556435799169676,7274501724462203840,1682400490327622952,2785121044537380840,7535432056397702408,3272446978146948780,7425776924341649280,1479992633528331620,713501042423406468,1583739474747685824,1769829787793443236,284037620320599030,3565780062264369216,2296483121288440700,7243535189078292384,1936043649189430128,174393037287831496,621125787331885968,1792787964659544780,2537905898617561010,1546119901038231612,1990182386451890016,1071868106225073856,4930846137406386288,4962554368818792930,7170749313316673392,1000793722924429644,2151895817132930106,1659287701859655296,1323514785977377236,4181138334799465248,2832994808067608016,1226050852897155978,5665451210087138496,2055814332662181420,728613865993166064,740186432582493264,5551151450486468880,2224579605510652416,2149367143036835568,3547440918053429184,6104995543572312816,162441093941927064,6497354889810352480,543341585932851084,1895705437386081792,1015722881352654208,2077130460410627412,2174506845226357644,3648735305203202592,3639613220626632480,3316289591967061608,3128933078054959296,2727428033016559968,325416467638582656,1859439998513477680,1487383064362960848,4786578618159015432,5848180277320694152,509743258000835382,3074373208597219380,3820656138866125020,1951809582776725344,4770882530338768272,433730006899901288,1084276806468012480,6077845293129191136,2626692427035980304,913961988053666838,1246962591321334776,3967267381168048224,5058219201588206850,108368257261329846,2167268777470587360,1513785138743670408,283191639316929648,1776655944326363628,1292970154585525200,4964544940359227040,5829335955586036608,6067470419609966976,7801009981038097632,6647944234974331808,3314491682609716686,771680929542214932,2000877819061329648,8768574990400163328,7096690854069563376,6216894932008415508,1443908096311452120,3897058262127268608,6297283439879170550,306621429074339148,3504089080781688960,4092986322612619872,649794336291148104,4550607991019518362,4067303009138005504,866878054243692720,4193830059400980024,833570730989767532,7308387230217728796,871874954173065168,2007708114409002264,7700700207925251450,6547980243775719672,407496842547279864,1440114303881172348,2946537341037080784,2190507909347255920,2053076933776283664,607584238660276326,3628783985802347752,255992803112741184,1458106151493141324,2511001559498338470,550596288897982932,9312600379898004768,1438027450843839680,1921900495897513656,5726453982192124650,1429813311133178144,665644134991794012,7708870127814458778,955597598806367614,4934100472135075776,3485141864269415280,1554459047694444430,4413430144908421416,4893682299574828320,6801027123110962496,4089316682217148596,566100825856037640,60800887365651056,1215963665357825280,2015176280785296870,6117904351043746326,387419481688872192,5811033765831719040,751401129363831248,1628113574657820888,972989241177532788,8081160748852676608,105824016579222012,4232772395833405920,1650619573686102272,3508741516988828448,9332679974377612986,2263295231906688882,6004932570628307712,2157841925112374784,1488429641443268524,3728858762127210240,6854743832257825776,920593472644826696,835967799569817576,1109634643195795752,6509332943325911232,2421053122640119128,260197070896457982,2594437461015480696,1437966647234309376,2234005787231143596,1004779644808299232,2248106242485562656,3475697613568313328,1728060546671446400,3134149162950669174,2458660344958238796,6768836718462421272,7469178941149324416,4439384996283240894,2834218847352398712,790876729831925088,3250452002643782016,2154855154550494566,3455410850394919416,477012739902829632,2799402003471824784,880972208875694052,8056007548179560304,345973796261794548,384398229014469120,4503619061872294698,1092235964189360408,2006909163925264512,15631216888180716,156305215414862460,4688947866854075400,1506042223114839648,7606257471282974256,1957527034263061038,1909363547838987300,5076804775761962496,5432708146004000820,6464500237891929024,749259217843371562,7286434179765363072,599187484938121056,1536901291498439264,7016809541195466348,1368717227809752,109492506988285760,273719089871125200,255105514021910706,1945095706922887968,6090131930012402976,911709642412261434,756613908046032136,7004422968601456944,7724882834735634288,9155832870787044138,1398595825754823438,3527543280517571232,9633883754341793952,2751521918341374024,1208940698749719888,2706078773623460664,1061776975125151368,335067286048536930,2680419029820678160,151355864696009328,1513491307383833280,297396792639105068,1497916222491739464,7334211199500446976,2536678485496484252,573588711855185748,3860006323244745168,4360505698760313500,6549414681371795856,1377455194992075012,286283224920422304,1916154365868063504,3878242870235133888,6400163041812939776,433866338504802972,6344638124005192968,2272848945020694944,863707553991395190,977327588630686032,770052535545996976,3300078310412939640,996283229387907426,4283180002484743952,1409750786645015352,1141014703656973824,2346552155454657370,247889705300844156,2051062023940857216,682816676802610416,564354904019364738,6449483340601549920,1706794806086412168,622621832752472832,4028486708861568900,243550762786033040,2435399254542758400,1282660404357049488,2829664442773607274,3279175743812061672,4090457987976273408,1614588302470167024,768889336612289832,2562850407363640560,2308729788457714584,9299278496534967792,2374827359871517614,123341656722959604,5550127564359807720,5541421552145713080,3031437991250299450,3073678297395023340,6142550529001557024,659813711666590304,4316350147134358032,7645813828117852896,1356590777928945248,868268988688156608,261219042505608732,392733847562092468,5123766406756230288,3861154122246673380,4259329730999551296,3312983036909670570,5392774123816545900,7206328178470477368,1207016197536739230,390749264892309936,3377734309006927104,679724922944393868,853105721450344128,2814316905445903242,908822908569945168,1727941013349433344,2101800991135552108,1585843851630289086,7655284264832396208,4464130111363542888,3149968916131134624,682748864988219828,58461136506926936,876878020202203440,1411453752844230216,1218124133240572068,5144470928514267504,6287362163893476432,3020595474994516332,62406288730084524,1560087781156511400,5421945253428223488,171051203036825784,4818759734795908464,2897841017803886160,2782856103461540568,4560519753237102354,3901079524701028120,4447549148751379320,97025843766403296,1617025421959196400,6111084059727414408,431724959199710784,6305585247200688408,540904075419923046,6851621025185323548,4639973658690345360,1260986885745933312,1762096822016357508,2117954713683033996,1872081059954612472,6335773790989769820,396509912577785608,2574431103766679256,5403077438622814440,594708161354870592,2658229699645541658,1906313632887913656,676275231166399424,303988491336077460,2431799682253006320,3819722667563074790,5149288409050154760,2031648189015241152,331202875631819510,5961386392731572220,7638017364536538840,1906460966422143064,3404762847375613020,1199254740825710268,4855018377277037728,1612234648992943080,4746001096301997660,2570485902947582496,2686728063178552320,321573458698032744,1071863813372956520,5353988452643364534,3038918506642102464,1238006340278622992,4639086253525445022,1098341432500599210,3095505175778608056,2937951227316649056,2844326040056309136,238662128080080698,175555365910075728,3900269306433539088,7786019180483183760,4447165346302185060,361695224661266496,4133475691847407360,3729381130025169960,2482853557666889124,1620620158845514284,1963357418184991488,4882238108224668360,4622663051333539520,2028995632473510720,2229869706398228196,1607643640530700432,609334580969677596,4185759512796480480,2554567225578627424,6042134813154970950,7195366703722596336,1420561390429453248,3317191296881463876,2889388812763377468,3004776460963694244,460691558759172744,2303355242612688480,9470728286651426652,2925983057096298510,1655961499305887400,5518342741466326560,2200310005525364772,3196390433585717106,3595030111245931260,1699796198848538592,880177916068180740,3268253477018294226,2880924144157003536,4967818306976440080,18855063439177462,215476845217861920,1077336257606750400,3404052121703653952,1347169419326878416,76902692056295256,6151941444640197120,6419884593440402064,6933310854770407338,6505929146378551968,8231878927936152324,2572467987740594304,9084585959763924852,166781801963021502,2259281184363616512,1202217249290841540,465824433896786412,246932344778430816,923157941024343556,648181182475009584,7405152247472006118,4585701000997206398,1038056458342569480,1831073192673210288,335498514279256744,3450206951902314684,1668921623128800180,1435977240077397504,4848588435550205346,2818117460939008032,8341436199902330592,2255692747120533840,309075922950077448,5151036005222247600,768276242322571224,3213193877203249152,3790841853967849616,3973960458900825552,37499881764836304,999952317859271040,1037662026645225198,1522840257662605464,4018268219350658336,5549499291822483888,1975740833070015930,5392496401312254850,6106348807686724128,3041517877861143924,1359883389471115092,63959640053020896,1918703755637447040,4449276893458712400,89687395161792252,3587336049244289760,160255116679543424,1504704378761628732,1836021913434437652,4310126625145388110,1959679591688489220,8227171902463513920,1887539062436942730,473057360151313158,328088791207683936,7557919290251194872,3569248418426657928,954812968294649376,465452794001247180,5585184786260154240,2530154040733462920,3955084495026313392,6543788701830680880,3014043889783248612,1165271851584271088,2851963452378615024,1853977849714299708,3139911322116548896,257572909027622232,2575614378469333680,5319040911585113856,200365625281909752,667855672554825720,321733555977463344,4825788406416188640,1037533632107015088,159819211110147014,2992075000500985884,2355993484965740736,393002209893906580,5055699556693263312,6584907329829552240,4827499881989462532,4835289311383680720,4386777738480635160,2159628123766685652,5439896358153373152,1372362777683549160,3280780855374818952,2144614663897630272,5000084700285890952,1283616735357689472,7394083123634869200,1358771535201210444,807589539994142976,494723865983200776,1658913883739091216,1703423022272308284,1486034708127328800,1518191346794078448,1000722304931157848,978984922116319536,627292153275359520,781795630618604580,4188611079029630646,1046076473183712528,1676118281815869344,6273316656540725904,1424670078874110624,2048647291368504162,2174026233447410112,659763060551193528,18269758521435740,36537889468123320,1461450478397923200,360716060785344424,2515193694288850032,4744413510222041640,6380261601910106112,4036338274685297472,655845965327194752,1071721743794289810,6732620525139863328,6615548840613211488,6906845146729923216,1091368614207272148,9358172452551689928,1049085943471132312,4287039297286388820,895409358632404038,1252300919289004648,4152726942882354288,340393625577730224,341029124044318134,280414487990564928,3605168526816958920,2863583137675055576,5216353757299843416,2507183434535303520,1882040744524317056,1277796029650698048,7257085340515982640,1805084901836767392,4895473298494454352,1456801299058360914,1885285880514221328,986200564386043296,1095150817951561008,9785600632955768166,2018226576961074852,1139154018585057360,259677520600097568,5193319043808722880,7880510353066073136,9763030938645013608,1973346150314436864,36448007462672652,242975891375447440,3037063334708172000,5370210784761789780,3917704605808251120,2062280850475189968,6194602025810650368,609932526507224256,5336671842023862060,4210539139760262192,2680217092977141888,909910393442553888,1638560235868123728,1906327556155035068,4632247547666632944,56134692761373936,2806609591541516900,835310111800543380,1784520711389397744,2354290408090367808,1665524004658998174,3779723562756744870,5952435177023618976,491158302840466632,1403246914229116440,1799047558859079792,961387904561415168,214837677767676792,9667264763017583460,4467208864001938410,1086538260031980624,5017242443163999328,603057360248799696,1681364646060072930,1077542323088713920,505990734828627576,2053160277383937888,421368540834356514,2486183246228831712,3680941690783160064,2264566883810739920,618445855143677664,4072629140033105664,1057078130280900952,416610375414047298,4428812123069248170,221074902937498544,12037462654754736,1083323366765367660,220897245105710476,90362788476323904,112948452635270040,291119593333015248,2183299661927318040,2878640790412889952,1916677334438271504,1008620992031246088,1503322467629455044,639843381511451776,3041002878519589128,2116327616149406814,5865849340234442776,5120571925176149484,6077800782005962752,3126458530191398364,2946813839894204910,3452417445365845440,5191939034185612340,3318169963592630916,68954071652960310,2758039960283314400,2394541484145868848,1299685198664348802,2464059002388654118,2196069825488505696,1024478891970057024,1131993862110779724,3981303832051625904,2437174555773443424,5072121255075684480,7051700551053264720,649373778478975776,4870086305161874880,1427103934816317444,390854275108250292,3170271767463293670,6183196611622938180,714125895124034736,9181209486240724680,3417277152395180358,1046441390189493408,7806498123326578344,2071633423774363164,3767849985857472522,3055204043612253096,2554955056188136224,1885318195732138710,3485332931419851386,1231202821608072672,6317578311980092740,3799730783607395584,1547245543003236384,3576641841074967048,1523968790908530120,2152837213909413876,1899030217492386324,5266398826580511360,485929856011948632,4859081997777523080,7263578896574418824,564074317975712412,758484441483865920,3224004181095563624,1287337440200684994,9187635645835169976,796421700289086584,3560686753736386410,1163520449358935232,1472690356656769040,1236615878001005352,5115950474798262564,2695156643209420434,2130693452255026944,484065640849949928,4340429736649276608,3251558164495136664,1722563048912908896,2768065837711403008,3070123931862831072,1139168381178443748,747993973788682440,1888779165519086208,6786615297944144124,8836982544129263928,84586944064947060,1184164435562208240,4821023959474400432,4651628833014576720,369961802811796320,3464077444824251232,1063605946631925474,1674257139870074172,2250690838392651396,6791723045188464768,6954179441560385328,137389252783044702,1141425898585466016,1353169913649519744,1176406414827529020,528148233180252468,3360674383206248340,574966924938315072,4969723438680568596,2662225932289284312,253495414360618496,1435058656834758624,6351782561131217166,1588722297232702488,1887867830869058592,1472328587983085568,4172700787224060340,2923194330722503272,6251738223238434048,1003861159808401740,3680123967216917112,1997891936270444016,2577950786885752064,5036538429871086600,1715739095918948796,6162469068978069984,2907150600196922112,5277491571571781640,3847930979552625370,512158839817004028,853560015976038360,4628695131704267280,4486527632474639136,1557457183206879390,4504552813471629688,5002071860558801100,1778081763449299056,97894470107117856,3426153717079880640,1095125802906078912,253331125496790660,3377597766406696800,8659816128217059408,7437524715595202624,2419922109237446688,4323083889553554510,3719243992661089700,7363159452917962752,1027155630905250816,2372286908834652648,1216929548490884064,6959907828792269568,44340891883464128,443389151736078720,112344140167444020,1572747845912802160,599734780990132128,5997080445600786240,1962900735662419072,213263901664939980,3838579095185474580,5040251804196023470,1549738237798495380,1856600595449051904,598824282817037392,3926053563757227210,363057574013214480,5839052044252289632,786827361814534296,1627933045785412788,3799181498640147872,1500656027275800,15005891241301500,600208889500140000,415468550541492624,2699055198460817892,634658569202469768,4013872155567202032,2168746494039636192,4871901448628272512,9667765760428144008,979649115172758942,277245473883351488,1039624174199713320,1905749766649176318,5164752697609067190,5124481792838535708,1087297283971847520,1099005036279730624,220419472492885050,2204096450489136000,7575050329642367352,5792728380503881026,4118885701188293772,1441540542748840576,1758882625667683920,2126713978575913392,4414720450058814312,2278882557096283776,278061996449305380,5517328309896416904,2135052863191774350,5532541792211254176,729070571532259640,4734970378439058144,1534241080759985730,7211724947875499008,1735608990741276960,1989301130149856382,130938431135787264,1745767904633917440,62863571410320384,1571519210723386800,1953389558035236024,19031195328406056,570910402535559960,6559943578640977104,1857611241925635654,6997138896090440700,1751112002994422472,6039806590523952246,8391217776398612208,744549937518806496,7595631870305678208,7501963243677753888,6059892465572000688,4318733259781975872,1054519373674867536,6426604593609671952,2282962671376364190,946390599531619648,1409838292827701352,6522462726183196758,2641193620304554832,330484922483302872,156220335204153024,976333556703593900,870636794798254734,254098585702235040,3557221568677962640,3017297749129064928,8419250879687186784,2364827953970886228,1554158680628864160,5669805728748644208,796796156922608704,2779297696565894952,6532790399556872868,5388994898367054912,257339710874096316,1231949833200428328,6803231233546520136,2137420467064355784,956081807715275934,3645620141597216768,2790257581408090464,1956685587161206032,144488792824600816,1444823493796376640,5800532255671001472,6122699315272770944,612721098279074862,6126937737813390960,748033066114415536,8548568081468088960,959895542592100722,8587511671954424616,897280230084949152,1315255007434067712,280738698910795212,4210892684501772960,1429379912503842048,332522940483940782,760123452767553882,1689087896791449840,884283716764728896,403875465781254408,8453450739431201526,6020558040657128064,1045850108907058344,5174402805952333254,1825480917975138336,3421629964911740064,1137841621597228608,1743390905345113380,2238787602382012488,6893622799688915136,922549606388272772,953535925728785784,1349155717528382208,538287900346101456,4485532442320756800,2017939774185052992,626746547670265490,1393926194801397312,3315908744101735740,313841575803710896,4410772799397027426,4676995905731105472,1353615778704838440,981103707662295060,883260366014227038,403436789045400384,7506645419047464288,5272167486976633404,9533965281753276612,1770503220751277304,447108848102377344,313596130130349968,3919776789933119400,580436232338106672,1490589662912408512,4913169118655511420,728158285283281884,811853143313004744,1649052944585573328,3552138241295139936,4236135323355766000,3931063103160439296,1127483766351973404,873791148580667190,669606795568561158,457344868737415968,393058645166752416,929534874773762616,336646055295325872,2421992056299151712,3999986914138898760,1607849588904113088,3728837416248677576,2105875033008580152,2773845778462507440,160600075356182110,2643041842047433530,7814056925096740608,72113679711724652,5047732413821356140,3739766899475440020,9150454551380910264,473426109424406016,426112264118903652,3090370346411868102,3652679817852864336,5626613156272452960,2288796492860605856,2704118608896705360,149908873271748084,3801363188314531896,3974992076965915512,992271122053644744,1310235767663714304,138225159524330892,2764379872947555720,2714886624929243616,863782062203355768,136615594396240320,1912533003443021680,2898660579617236140,2498775318377816400,1872447533432058504,6029024665218117792,37014239947535334,246750591910830480,2878628487351170400,7077175574999568336,719408179856743212,985792978989972864,938989311571496664,1957089292848405464,314044045388517078,5233833932181108600,1575471940298314304,1395485651622295512,1836506336653609866,2363795454892535840,3409305563783995776,1035673140053873574,4076369934702186996,1370740039381658304,1409521516129082664,8446031669339796402,5487507695096337708,1570838982551667840,7933574487649222656,2184055085878655274,1107881701797888864,1860082216780341768,1652707942638904800,5923246495477577136,1911861948020532928,8659839309440527296,3075957074442985632,1164663911767587812,901709032870159740,421543125405393552,1033276411792570488,3981767150063924892,380973127392663408,3322317019038928064,7077129008305749372,2410708875302815542,221543276962083714,471201494969829456,673114961041297920,2586293929046969316,725799767578386756,5703358378898870256,3154501168710886940,8460986536812406950,5678973713103926004,4179507723636633332,1807698651374601000,1973220321328050510,953477844342030952,288615579377351904,5174771693082743472,5713000352856430728,5609477716798464432,2288298032332133184,574759411219278640,76320001658757978,4578995792013740280,119956726480713768,506039378382166704,1728773782203945726,4239329508175082790,968258738998261956,214749125211494208,1342122148024743700,4848220448474517972,69981423073527600,933044008858588000,1498877881402893024,4004942530977197130,3013115447027085768,4391501028523926912,884551650864993708,2398059642909822408,2079279314721672768,8181123551689557024,2561045902105863920,6666346942885129536,4139497111603232940,6194377796902796096,1670438010051744066,1938650161456488768,1955785773475786112,5201152470897205824,210913795454827068,6327131534774633160,4196923101783502776,5096127908498943360,1011793819535438570,1893479131716524616,3579229335916583808,375890682534222144,3231777745675679112,4635541706036665104,3937689733664126700,539332836362368416,2696543853104030760,2511538100695130304,1944590333457181344,661626538222243872,3307985076231785840,3090517097379823224,1146590579336182380,605120643706365952,1767530220280438104,1083306479811268128,283316691389547688,4841368583858455152,491969659069347324,3185132307310917920,2034311953048617960,4291615572335188416,47733661675236840,477315316361077200,368583727984246368,474694697802827532,4607700992413985862,7546655302141627908,893519089290356308,373712171639532768,3686852494989471654,986539128056386732,940101403158131808,1261563826144063968,1032616299100131826,5576525101869108528,4412325846349590144,665584258864899680,3565086642047244924,2373032668355748360,5258410641398864880,2473036699315013700,1335590524988072424,1825984038396392028,4226349764338949448,3764249270615107584,4871710899801031770,358516154723430006,880407517919986728,1507908785092687328,4894015677718757364,672734674453252746,625647085292823616,7920935292041506944,1401257541544059870,1993805770199310984,465289156619652096,377489345089987152,818611547606400514,704827401397131402,5724235181675995776,7118567047136293840,1103772187655600484,1584469922585698170,4843851372113037592,4071809293649615232,7344510606185480568,681950869877690366,2866919292252325968,3562948032099297312,1807713741870117060,410872969543393674,7234369400372948352,3487907108165108104,4263299192181246624,6277853019734671356,3974072148983330856,337767234534736320,870646915845688710,3367331839719024930,328150536479341344,78395579387332524,783920805498511740,1097832502836469314,2740463123743533528,1189517075140275904,3355310150027635344,8246888842429172034,1248466751170820224,1811377309128424920,4149415996103488416,4589131836748168560,4485675627747645408,42603049022522112,479262910103542440,4792415196020187600,4227633988893963648,966582698266429332,318967920300048030,1913722103685968820,5225208932642848100,7646715205279757928,1029391517036493126,4163977635795923436,4322391817708804608,561533134280976480,701885088954315700,1860121358842431564,4341424028691762300,455677541507732544,3620671499474994672,2085872914989019296,3324078243891701072,483948710084220096,3449633375081089584,3770595094556666970,3965597824177908816,2560714572589561536,9216504661688346,184321865681061480,614378794914086400,3761027413202016224,5259176276898387024,718990887612018816,1857203027025438344,3653365000478459616,2870433618450803136,3131904220175999952,5953228749826768872,2093292782619007464,5268595327514345316,775215342330005412,1813928445917941344,273901514417202816,4260405694230119364,3803005746777294750,451246022997743568,1756388582799997392,1048072920443545248,245138622312022546,2572670151505559424,127783153956201984,212962416718969940,485019481621392,8487462050151840,48497618216419200,606193167252780000,443455147280289654,827303050649788568,6601519454297148696,915350820298399452,1277018831933339088,9570850382610882720,4222978810343881104,6855411556005462058,1726433609982881328,267958732248982944,297718634194492160,6792567611032443744,3128172740772554286,7665396322585568904,53430448426784856,237458059120164960,593618647530409200,1852169959605503340,3421320737425915680,352234835444485152,2641643336641051440,1039337965737406272,1684933368369103984,5109405515308002810,1295978547118125084,697511965530775696,2989203548018814720,1183449230332711362,5285716864518644554,217461279942831312,48337394594867736,2175085653132266460,1743992697292999272,5464418023776310536,2559672987319245672,935913548738883708,1712564223765382224,30191429780875264,603801639272728320,1787098386888411432,3473405146702379712,730349310768885888,4564479411964675200,628772356932777552,7802545592194248240,1722141418532728968,5106449790829804104,24217014607505016,484318669511165280,1336993344224782452,1693365825756060192,6281680033820341332,7284715040173549072,1828506578668078176,4709977228040743080,2914018778883305142,1954260808436330244,429182625080661768,200656180229962752,1114706788866580800,529907295681967980,8478138208261469440,1043056132100427204,876378698335228086,1357910072604459420,1185680499211147632,1863684427953785400,8147981956746874770,4500894164274150816,1278670422994869120,64780643686717420,518222011918700880,468799077746556612,1108950936707747440,383188181533467264,2873783051595623880,245405345504742768,613485972442666080,3782664162195582432,4850548038956465320,308389064914555524,1443615377344591572,2846702077646335920,3512400597324345870,1441810412201704188,2537515602567744384,3104896581338170284,805707937681056774,1268680615324826116,7291599277108589100,2621694916408558176,2056078334354565536,3597456549424194336,768621148069776768,3976599007479690504,712847402797725888,1444155424612002468,860971327485698496,260792514382184064,732255293536956954,963594389291581848,65328077788209024,2939632241981362920,87222253793864662,4360917967981070700,1225818008333062320,2327853086104367136,1176269417152522704,2876143728699379278,7444438942676416192,830742436563128424,8030633569403738022,1346681342185520004,1764766866148309632,3624872650178251824,5101615925453389644,211350115093712364,2113406781161376960,6308236937996560616,1080757602756663408,765918726313144110,35342077465322724,2473834957328689920,2504878333953386454,2413963669915599444,5083946320472270064,9053996049662544,45267958854486280,905318750923850400,878368616123788656,4055290615235913680,3510385178982859890,4696330566391341192,2516325823287705408,2940685513908637068,3079322219576049102,4447928125760134356,40350148692736392,268988979552712320,4034654524935195600,3014714399314350624,2378896485089176608,4606309052751924420,1635992896242820248,221644680405090516,404234497544836064,8084328937623978240,1761025739770542762,3493854291273525180,2677759713524161200,545902902269461920,6141133409315280300,1917170279771572944,1127288662707362112,2100561014951002560,2963353058408237166,484367446188729048,1384078881747712824,2403829775596132620,579510490239732372,4591477375318855890,5243141581775307216,1984101573247518816,4324287808130289288,3465355302925896432,1256387993197461504,2074466489045580248,1724829625733434428,685168335615259248,2625330651803315632,1345479087883385088,388591065156040164,238875557279878726,1380014740397497440,647354619931806216,1222967794203825012,1513054784884021170,8223352503365925648,1375906436986874624,542985123246106068,149644682458655670,3083040391333518448,180552731212241784,2998381344124557576,944903283983811594,6299073910569594960,2989795857037109568,2787458301526930764,2961657600027343812,16953256969029504,169524998636717440,6780697116174220800,32076479556549648,962251411879834560,82726225587332208,1240837966877515020,8732036383461209898,615320278554953952,3983326883063433936,1847992383013575128,2397446990633800152,4983346741719649752,7364131067586370176,5358382761430398084,2163677115427735248,594846680543656576,4046186220413405400,1660084130744593344,5916033249340866852,1471922689076163888,1031811101952070128,940697722345285156,2912037322122607464,1514930644319980272,165926561202721008,1659191507780708880,1553456572228821420,960960113156019424,2938885581393905280,1213465974440297820,6372149040905035920,4691229893325294144,3562235836495828200,5335683533744294960,3112092186540251112,888323165480651652,1706587480114460416,409311628724014272,3069700109944515360,6738452015118913728,556864838294296380,60089629344664494,2403477823610565040,5186616526844548740,244840759354819152,3147812023862311740,2698780541479424016,426802018346091696,191750086353257936,2191331682075396480,632708515742005476,40417780659596520,242495852764315680,4041417033860022000,3558109625259552130,798311193113617728,4287938528332322556,5166987764722101300,944683202621024460,5855768904474097476,8965209888744136704,3896426524954846608,3299527095493787820,283426235112661584,4374712278725467536,2928277176483998124,2310059227485954128,782710062386740752,1381522676429812104,791551856946631704,2402709091643586942,5790745010423827872,121078742231625056,793239182767270770,4274951929659646704,333974463154870480,1669797729659179200,2955998664151468326,1158701051914354278,2120260722994648872,2270041330918737024,1022495391246186790,8939131118233456734,934766375259213912,1869393196406747328,934374617942825184,4191888160290943224,903468543145772928,1558087993404812880,5066845249697452980,2014966910800719846,1226449883065331232,6540832701583550496,1868921959851360584,7483197220965523392,2835484678281439872,9388366651963290528,8751854752898292306,2390822533519503174,4991598864585143424,1167544421285853600,3268758810299291232,4082335782666027810,809570556117257088,3704680779043641180,54951319906450506,3296931918665033880,1210982926328649900,2888763442408544832,58408623011796594,4672481116989657120,2944172128276044600,5094477862472684640,332842791421524120,5990902624368569520,2133478483099412688,810877340493184464,6329024427627182386,3847660958132815752,564630734251724640,396659906252670140,4759706249893576440,2919963221324848710,3545842775255827800,4627116570772745280,936011435014245384,4082813491183138992,3042482324208571296,778015889338317804,2966138297424666576,5965619064852336576,333443377082212884,186335620634062728,3726545936755629240,2893557539497263570,1819609976276392608,2917708894010842812,1701140456018122884,4422222412213240608,244108601383729284,2169757303633601280,4300003822927633996,8085145003198264350,2963429878416381360,682824775635318580,1071399128869982976,907636873263481680,85881909530576956,3435122919449002560,1195590923101779984,7552716387518130224,32469619840337232,139149297152368920,2319051349479143000,4002776715007300248,1271878928838854160,2683561617837906048,2238578351641940352,3509506416497526540,6573512255236334352,3046644347426775864,1446813379075797972,8516496851119434384,94720273321216428,2525761115030021760,123736586018107266,687394767900842100,2289357833960524992,1147270484801744028,1816837132935800304,1582845949920547584,4266896143544649384,4132589373612660480,8397324604002712842,3804594137547348496,768031301882338488,5119979935087557360,465738819755991144,3031386666072394284,2590870394029613256,2333692758501494496,3990658086452341344,800199156028264944,3365677205318018640,2248820321768090640,620200751405965104,1007289087094185348,3910614980657736744,1186166197045969920,2231446891196318048,1391963944572403752,6121649282807912976,522483660903921896,1038760201783237776,5816471989340457612,276381694021812652,5368419775762458624,3893241785397285204,562891685569974784,1082958240610581984,942597909978586488,3170591081105149416,215528537987378280,2693986360058259000,315998168485131680,534020399483664978,996298040158286490,183425895872770968,4891138689732073920,4425427201653273450,485129101348630244,4680173452555239072,1236679694867417328,2956509658248939606,445277531302587882,270845718347902752,4940514111836727104,3794681905561156200,471888036172947636,786444921616113320,2190815365092342144,2008251839367008400,1259973429302742336,77950252110639744,1558935387714735360,5421698981613309228,2705637440827619088,3956460742605726528,5362367520307467712,3120572065352113314,1997703709363448964,1171804176162519552,1816561603275638472,725664398067924732,2967139309791519324,3916260104109162336,4303785280488993216,2718665051786450628,4948586001096091704,6425754973211286144,2165927681785525908,8587106344010939976,1289274502308635826,2330025741809753064,6758693058873312216,603292096816499178,2900694477648876342,1638591489679087584,3215395414814761440,1004575299429910248,2521673133895713672,289705819370089248,827693928563537920,4029228940876112328,1360218949875336804,2696977237799081440,880585447805583300,717619554559904406,5491912500379961904,5640203062548952128,6029947546435585728,1170472448437900190,2289250803799107288,3199787360113329216,1593341038882610048,5977128308341232658,193948353359909532,896390373734229836,5578416418411739808,983397045848418630,2686384872858330492,2752449141979674864,972593173807453752,2727640071099610448,2250854404754755152,1456349681828665632,6155401362040739424,7005431380868139312,2915123559183704484,2073867991759147488,2961808178055771276,1964259015054084504,2964790062779299856,347449309665048684,811286778928350816,700568351370745788,627201901277614170,1485910661638638312,270047358945792736,1928823515334592800,731669315350852374,92585304532936272,231452918571960720,1846678975790557344,224747785985197556,491918237712989568,2989991966341319820,3858352364384113950,2552525838419417388,263864937332259576,6156573419859163840,1389981583562901696,3740469682006698432,3570406786386109152,8416973429635505328,3065637504986068032,2542863677326965558,880093803606953328,425660085054325944,829865059905793428,4610155427072622600,4461181579344821760,2973370308704140640,5195056690965822030,135450008541526266,1882006769673571608,114896142311417856,1005296320399607460,3558970617521296806,6659822875026576192,370573481352096,3705569217403680,9263509071022800,370523804653728000,2778804353841120000,939813074147221104,282945610958774448,2475663461236530880,2080010494665990660,3118417771372473582,2067184429455993884,3900837545762146704,1175476429477721232,7184474034407738838,1406346051552009372,7131277149675760512,5157748658222476384,1250420505810331536,9071750174305896,272140343337915360,2267734849751448000,754028395316196912,3908539491883083948,1385598031587405120,3461122685042957880,4114030005690651288,1240849179086034888,2015092282903923480,721868660420548576,1966428664420495536,1917589512346436088,5098916828240923008,278094819058996752,351406091403282234,794051149591190068,7680053804404398516,1554554154179348784,1287468946166564628,783366794479969308,1600954044566531328,1467292624653231832,591246039739854042,5912196172810484580,1350253907336089696,1299991213982928720,3137811654552853536,336963161714656950,2246320685979252000,3143858555873143260,462855635180217024,5206893189229793520,1782979046700776460,752377887276279080,1284496982442426990,985633458479282352,776007757706792512,3953293831309487904,3949141243340183220,4431068956862172226,515099569903041840,1030153099461665280,3846847534601967064,1388738478951887970,3510626396701175040,1591069173989982256,2077029312510553218,1396547268169532688,3789272391623771480,1266130166145384672,319063397459019444,4785737070938268060,524134846868830080,1638492341418242136,5907584103234528672,2387463553001455236,1796024761659649944,5515311797061328128,5376345108339050208,1994482418147374896,3413961781118117504,359875835766400896,1139271852928180398,4725803449476433328,723556726689216060,8123212740844779264,4945293833301436692,4929769746533469390,530586251431896624,246700009911405160,1182217006951463268,3735644736136896792,59247057218310180,710932911526995840,445835233271154762,1799495407380320872,708028005474193824,431728141439131452,1037612783911120824,5546283231845759952,4301221964956031808,3811947284920814272,206764881574517046,7222247590796594622,995191334288462016,630041085485632692,430610130318981240,3444727077502887360,2287812826416608736,646283673671481408,3480925429921577148,1872302466211381710,198717626592299808,2270957086337434880,5375819636601034236,3028477366891645242,1668442855380698088,1637167447548701808,6577784712604363314,323274992722998664,2424454080276958560,836336056673859156,250700176831776276,5849409342183110760,463473681974975232,1544843223320903680,2884040575116819516,2003203419129662148,4222316604871995984,3869867308682021472,710694420497504820,449779458773723514,719466831173562672,1481750919775801224,801458712318750796,2321833718900298438,3493973606117844192,6833858164815353408,536879410830176976,3695965331964922008,6924336152162205700,2340103240507482048,1359965582222041860,2383138756707083744,3152115688207955040,4500216964822533612,225686551069251008,189221226322172868,6008815320743047932,942611545260571536,163995063621171336,3689724005574753060,3995552043017251008,2060949429251255052,1337669078527875888,2925802587072799368,1485391988801268864,1547678671153807104,1802496637354196052,1492682864071149384,1616177104155786312,242471229741212416,358446268616385828,2911227132538007028,3599412227857467080,5004304331333095440,712114102343898342,2771204800132633872,1949044102053666816,899968405969764312,737606006955619544,1179750495392122188,6618627344627823060,628523386565774960,1571260181782091598,897998419746794880,3817420091670890040,2038970761121203140,7845907977438711504,516299649939625046,10681335400663620,45775105544242800,1220614918934664000,3455136297155222442,1614869412213172032,5099190989041337976,242502542536523484,2888535831125499744,3089230187795011128,8169245888321584128,1850042067874039644,3983490387712961456,1346062169942618832,2160480857266226304,971799147507118440,732554250450393552,2272310554760076336,3662422279745110280,448255274918538780,5229411110815329900,2007796525111621888,3576596679461634048,345612626940143016,2899280266709146864,530514870692588412,597745002953142720,1852986944350098152,4574238733947842604,6709031680836195648,2751355025370798804,8956756992346920504,6067263412103646258,1669402789489566912,821590450666348080,5078638250541562110,6167799302568944894,4528340252067693312,4567155427012476060,8571654945937754316,499170901904053092,3044545673764653072,683175269082658176,649576473552300564,837012994316401056,143998005997427976,1279925058858968640,3987950488387268886,4917687605263372590,1568377953951255900,233236624895553960,3731619182162669920,2178903894865180608,2084316921471005760,3671407601610944448,8460311286408825888,530026253511815208,886017593392663644,5364105633345212928,2812700877033627072,7688367975795657876,1838306315759068224,8038661864794425408,7050227065196169834,3766920632330794092,204252386362737408,5106081395450534400,2846529494007178266,902233777604369544,986268077460277760,943378982444390364,688644684905857848,4847904309828900026,3758410112854344720,314289209084708352,449876634297235376,3936244581018871380,1916880219341667360,6094639639548930744,1798766417735428428,852574698736686210,2671750751037695496,2734335098761316688,2658821647686930216,3174707194074308640,1430843977327744512,760141814051811708,1209203096471564718,8511957066831485058,814198350755481936,4029022191038629056,7372573551925384698,8954822676470392134,2789020335169483424,4826676860125455456,3394659995582981112,526563714290205688,1154091175391457072,5681604947064118200,292395357080036672,3039551366963378778,2083020035888762208,1295836968830997480,2145816433687403952,1587397141116274950,638065784031052464,575699993605575168,2878371286229804640,26101492494055308,174002170920799680,1739943922199947200,240927133687678712,1419545458762015824,467426850189291612,2263489371116714816,523466029314747630,398605648376429160,1992939143596812800,5057372944905285732,257423336193258774,1838655914636574900,4178797733709630108,4180232274492848400,1029151413878582204,3548502638746170288,329262581219790096,1277944346230872264,615295030484627328,5383590829668780960,2529960622022714460,1908890752624761312,2461026184946913456,1023703897334041176,6006050050941958176,3097903265805892176,3932815263794377646,487870582108040550,2323567743028131816,2816308227503003840,4525802071954855650,925029415777803516,158491834461892008,528282496298372760,735146823999325914,1543030547285116818,2755109370307070256,1467988477931651136,160885394464656066,1166590346406471828,5643887718975448320,2706519956185459152,6548282801911018752,1007863249876302006,850863199128038916,2145900428405565216,4060412232508730832,7395964492005046576,150988580848339776,377454576503369520,5173235153621705436,1688714082999547728,244064901668234304,781699071533667552,7434887557113112272,281648047032814056,3520443191239928800,4463000319228983640,4372036047230613264,114408838019096918,956101853295266208,1194166331470572768,1362885479773747156,667800182722344168,4784899482333426096,779359173116802960,3696244476133400856,111814219832187510,1118092208538628600,751439086160260032,6835577423289058608,1407694604984733168,1341462673972775232,3380629676773875768,684436985620045382,5608303693120916928,7805834491714651656,1448378544272277312,4397467797131322672,163203366170529618,4258463278008945432,1930863615665961720,3095616926242182594,2954035141147764468,847349028295589808,286071451199232768,2860586613134811520,2022831681383834376,904521526572094512,2577704709907189896,1627019541412185312,8982454340496445758,5407645153135659084,1691291439112180608,4702901859370661850,553000697765997650,83075131986719544,5814999243503510760,622437725813342120,1776641351824084752,525943802740433616,5843355615375949632,873904685148015156,2603315734494089868,994486034472824064,1323519990980855256,2574861726974611968,907869827146715604,3435043951394225436,817856424461515296,2436717988746304,6091522608932640,91368753868771200,1522744479705520000,5006224527567824340,2441781469383380622,2955509314835588124,1308010955615603664,3676817994184485432,8157553717645526416,5002340237882071920,5660382895460022492,1868161416605617892,436814023024210986,1737538271640441936,772337602432277952,4250656954590898464,1234700198421966900,134216018490534624,1342100176183357920,2818996172367179436,613007348176024956,7227189452838744,96358217600430720,240884773379324400,1832752669991748060,4817553333853894656,4583276026450738900,1996959725557568568,7165286024085333234,1630014916399913464,2007928395378265056,852216175372463682,1067832399569190972,2983382278333796592,4447641414956876520,2190431369000091336,471846624165847098,3313502126790843528,2519866501920198960,235898257443577848,954444151975946004,3422101354872337248,4213165811431393740,917400866086145070,8097136665792879584,3758961483075869424,216166125841134912,728845083416721216,973439436650188470,3707351302945191264,710306360336326368,2663529754569457860,3597489992801218920,168771354462896724,1687638083626046160,4741260546793930830,339315324891491380,2030734631516861664,1954652898108706992,3584070387171946764,7390119818965091376,312873947484658260,1877159749073129760,1128200311411827552,2736420291657383562,1702646662841477424,359420641844457864,3756517892626680258,541549718185583980,669542922361720512,1162298885940559008,1432957433948634140,128510084975736024,321260847363672480,624085327164899472,3789622279444949178,2559096673222350960,1284248534265734796,2449480308151737024,15875289600462168,476237393091407760,3174773994027244800,7266863150648786844,7560794140443939664,856015951369631922,816631890524019648,39619796824327808,1584721011887742720,4813178836333143870,3701957238224742912,1664688416802333768,4126603600971802890,512930763804584972,117995141049377940,3539695952474776800,7033958316316153296,649552569331514244,388631676696474288,6663821844193698656,1127969147685187368,7760103975222711786,1925081075761050656,2969314092687376128,901480779203750694,4849520352153322160,2709888636199007280,998238353306729580,550751149334019028,3595495226331923640,70119821344482612,3505834300452774400,4542865412149524540,5691874437990715824,998036527456824408,1653947838893502648,1445119246359105936,106952473460598606,263097142734460140,3683195299672897680,710558207983814520,4557570027405654924,2873286216332554176,722075579495809992,730379912047997106,160883821279926756,268127712412089640,5186084367639552768,2687287639858729236,3158953395740386568,782846367334539672,4285486444829062968,143051214486292330,1430448179972331300,2485523896705102824,1092215583141849376,1088397683977925628,2894203335106305360,5127722030429503056,4323891499117780380,163131515694292272,7340589957623646960,237695476107969792,2079742416129262080,4697879066109058940,509326116900495948,3092078648977910208,302141446778859600,1510639682409693000,4002465003699140982,3468334358900620296,1614916477209168624,4835162386259397630,2129946892766968968,497039306501410560,2728394447200975872,1459788968796415608,3221611173494896608,8535469793661245124,2787814682736819328,2638583297804138148,337825526534232996,2334694988361055768,1453446032857003620,877226032055442168,654086870507371968,2262562875744007320,3731166359455911936,2421613058616979168,7848448883263814640,1359320450534008608,4257574358972342304,3027628574041061124,7699252417040950416,3958447813728313888,890762513712449664,5554063643948289624,2504321367362475078,468602137876574688,2832576561419177592,420159231974663352,72708410295815868,2181154771749476880,1780130186757726792,6913580227010871120,1593193364232335244,966224000012120960,2716015533407536752,1677620062313812188,278651425984682812,5314483012799903544,1490922216557510544,5493152883975169032,101307056034554946,2701400691849540480,2019077827133377608,975084839508372246,1051612188876832770,153355205315345312,2300225216965093440,4025869998441954894,3427667266758040250,776757127444500288,3381125164626434580,2736882693018704736,5351116938943862772,4432505994212918304,3810331345213267200,4269646241530093512,133311326430036690,2399496573036728880,2562852212944246752,1656453134404304340,2476055399388591726,3630231458960343840,1037660750735848272,6452515119310840386,578057726323804482,3303039298832202240,1272211767010380416,5201671929090913674,4310718616548129060,893097849288383244,3969146277747066240,1627961852094465852,390737504708774892,3038933582311566240,1760919505092238752,1821997232916832232,12696339574551144,31739429570715240,317380102677925600,277196127031109748,1871384423203783890,3539059371168035760,8067955460400304128,1961877533450532372,5646412147619299056,6924441644729508816,3157135073432999424,813208691702826182,207419346266926860,2074100709737959200,619547937025350432,21389455435329954,1497194926433006220,116646580351582808,777025093864707240,1629051843215488014,2252033761640871660,5764822098569612544,649554100477344540,288267514611894158,5166428718014773056,1049583833618215104,972247484805134800,5602837264955143884,242635011974874402,3241750177965895168,20283153264482592,405644924860253760,3691098011814594,184546647662423400,2583537531392109600,2639527531281309288,2686764236574421080,2580306430793854080,584773188714784452,4695485813813090790,300421495097525286,984142009835539552,751662792223619616,2235694903002758430,1295563803275540076,1954387909787440512,4634225264986606512,5243799747769469744,993074817998713296,2780159623526518416,1626464481296110344,1595168387347953492,6364239241705026066,19549824812368896,260652674334802080,4561217821203376200,459981777875108236,5063619794941306944,3479902224727088160,6784149742370554410,3790611175793018544,5614291881690855552,4817116864481792520,2212070088520234728,4367454788682814590,7352701879214973384,887193231827272992,4928630876345259600,3890328957568983710,4316230397470676256,663865749913000140,1914341257872557556,164715649734739242,5747020159512041892,3009714673138106112,956020002292175526,1452794282042752782,1211598056096149168,55453970963902896,158432831788304160,6337029874046291200,6046481126098319844,572490185405952432,2052825532084432890,1588542909429404736,7978243787145927072,6406461645683828544,6667235180714504466,4082012799460126758,4033217750086982336,20029282954688640,125177420402083500,1502061871029618000,976155308504864352,7652203437936925728,883603204190389344,2715058184751136728,856151514422163612,501947136153219024,8908510704979831488,3328520705808368664,1576953901414427328,3068515293578007240,374874662559598032,2811434238391223640,2458262894257857888,154733418147160224,3094529971617512520,612903227433334950,875395738434566112,698704512973751552,739870519393022226,2808007626898898064,979369518229744488,5219509650142455072,645733207781486712,1252554046643460348,297646607411853312,4335020649834027372,7115977431983030508,7752919276213025022,5067625767277479912,598856020029179440,4784649648715386450,1538471777345073846,291292350763132440,2912793243084174600,4578308483278289382,2519315633017929840,16786650923208840,251788503470950800,839257478647879000,345258953617126752,3914706497474550096,2937320623551550968,1724420289335633274,1355916279541705776,4472533001759804784,4734340336975196160,3764543762685223638,160608288155028836,3002741294879265480,3912499404623222640,2197365718684116426,286929452369858826,858600299526881808,1631145117258290304,821884035256174380,354576127270391568,7091205414088719360,1646289621633510144,1145844043099001568,6332804545102463638,2148794449664052,21486983559450720,214860226650262600,833574499618046472,1153455266328148872,830582897443474084,1341137572670186820,2018812632719324004,2806764444994417824,1978966933421187168,5978879855809270074,3538093358007308548,161359872237949200,968115937406329800,214025655952587062,263323802576099232,624711141392325336,887496452394854656,841649643476588688,191780644455906696,1438290510195669840,7003504146109696128,3768886309119567990,1020407571404283924,495497511657858600,825792254985582000,1365052025941999824,267563597857920828,4009108355586196992,1319645913021751088,1729434880957546764,4481216219090588220,1775823090730709872,3830342339633246496,242159506947644256,3318267755504426208,806532423885124992,340898677740297204,2395099080081501468,8839230568365584538,5549475246481509924,8153010055706028984,62313002631205812,2180857559435595180,745694515843535664,498617578786665504,1246488201302312760,1506975543507036428,441566797079131416,3283698917828995008,6120660776283869508,5492383592813899236,5794512106857071976,1800049005379619176,3398307906599345448,3256600287150704250,3987603875054636544,6823754248725920352,6542127642973904046,1011113465945250712,3139257694328983296,1104668807408131500,204957082642544488,226435355276472660,4075654122495079920,3641934607871097664,770891965799080440,925226923229748714,1645052339745339448,1038945855084117984,3203555586359814378,4554823565567169056,5478486924678759840,2513743236957892608,2195662591520164512,1963796287004312742,1609839440112141504,1792736584615082300,4648325429727216144,1606501237761725580,107355542468115720,429402965974836480,288857929314240696,2658149450746362756,1276288387041536208,499323915949150464,4449386376629211204,8455115645501542704,1156098359723961132,1701388514043329744,1498403858364019332,2973264336216689616,2709787822941321408,203597146024587552,1272425256808158300,2717053605010541980,3015410858722224900,915729524893495008,253544984036318290,507067290829516020,477748816895143080,682467788282603400,4111369853896531620,219931591914130008,198696934941489608,4933324542154463640,6052691170437779574,2581223953751473808,2261414536072042080,1567440328794563808,224607675995207810,2214736637320124424,1843613628895407072,3656380551480612864,379266205548350736,1896246223136994960,1933176578581785888,1668018991181592432,1713239959499650440,1282674151809834066,1663259571378956592,6956775273367605744,5865732092782542544,335961975994775262,361371351583402272,615587820313038364,1439485849241168112,4200876465630835158,41019452048014272,58596596634263040,4687518093949670400,4319346591051921950,5169906054962891136,2809861048918290096,687215418347939536,6150196783525388916,5564743999373819568,5746693617743704368,1177458863933042148,1787103226010221860,6621347228854410528,3298297732618711284,4304373409135633896,1104084704558104692,3366345150366213456,1712251888150822656,286905117363433632,1744491157657163256,4414282353428447808,1845313787324179340,2087545169255632902,7753698193644831744,2125951178126992428,299074271264081496,7974957242146969440,8877752577018256158,2646888824574441216,4197149917444478760,3700289229772157352,240073026562901232,405106098403733496,30012343830654016,300110016714203280,40461551423859090,404597419739315600,4045793260511982000,111298959625294464,461974872541929736,157484033338529916,1732239033659910072,2361931281112343310,4459391663746955430,2821799153904029856,861940101866257368,962916476508492948,436620220238830188,566742079770932448,3568222593070753536,4722565810905504540,1417531647947431698,3687143269276734960,792408277223236632,5829195169075303212,6698672734089662406,3726562633864696224,3357104825306941360,5140210548257472996,1467795938083686792,2719185393474055552,2456604205039588032,1084745506246051920,176641766757103956,3850035591456488220,1451435685001334304,283156768838607318,5873316922366474392,2945955468044510208,1119422135176987280,2219540861336306868,3318047712803628756,3779777667084136960,587702910121260936,8076022701447407850,31149984180094062,726800460256674720,212437283512169340,3398844533242766240,265711971518691696,665763091036201752,1367773863614949248,3461537466462154992,689574003342771624,2768360300531351952,537776617065303528,698059268870059368,118166460730370334,393870587809929480,1588124958113725320,571759883830054434,910651804452668754,150348115992232512,3558615770960099276,108530747140552110,632153814034058442,1806072983585667280,457204292510512032,3047892309632581680,5903793242063981802,4728832991807893248,3749421299181962640,2106877843256043310,1411115020502875992,362651443193436408,2571332233889109152,1383814686353602392,1904518590766270776,1145620520326399584,6684630003376716576,3610273003564071852,102830158962895008,342751868129761920,3114393906283123968,1890041474346003504,5989163083474922112,4223983989939662784,2479037234698818400,467491151079957576,1573125010140604086,2261997039013577748,4081612925598933816,3447447157916022600,4680081637851908428,6512053632807237696,1959793375329683964,6499471126261823744,1230236899371823728,3055674753381023472,1369536477966477216,887005272009553056,5537101544053404192,1153332616771641568,7173430682764914048,192011261166638382,822868605237476220,756515420536610808,4292584355041046232,173750256302914808,5955435666068342832,4439742180580597968,8650798969245838344,675809277154736802,3203535189459652032,397755992189633472,1325794016241884160,6053094086285178756,5386626367194581796,5973325137583800768,3110774850756040248,221857654803893150,700656016339098864,3155211416714899464,4756607807098935096,323235815493190890,1021432640866184472,2844929293282659840,3643110635688895500,1022493625374777678,2591020041598750572,2099522564697034224,1568972967069245616,2158425197353764240,714050417835544416,1772854906140528552,7823273573772397408,7672323177836752014,3542399809302507624,5671160685883450680,1579604828810804568,2149106572923537990,762309910602479536,8575602986988488160,5441770411794839628,389947485348335936,3899300474093351040,2476895465906216388,2278317613355672448,561597482672196948,3301681576702817472,1297694535320367872,541390071694930584,3623269008371316480,1235639726238007544,579819154098783060,843158259838606680,4867314376510231758,16932100391384046,846567160704196800,1404562104321151928,349454920462184808,4367991167489718900,6483476260514655872,1433441353329672192,2403496561007080962,697623553139306464,5231942674506285120,3184516859694310656,189525753219512720,1516138223690878080,1638610329845433336,541434302491267744,2179940960425274028,2010256526391474636,759876388606095904,4974032070115842888,1108457205930455436,2899004269541945496,1905803992407448296,1652180022902090496,768938201991835128,6834700592134842240,2499686057056386816,1863882677675837328,686603498515007910,767038682301074172,3465103699828353168,4476419556020226144,4805200648066359834,3524641677602633250,3791513627808060672,574113404959565796,3971473771473054550,56828337740196408,2273031860260498560,6902361372298493696,3572246870173493160,882027699543720264,907473750156664064,1452845877025805640,2782909562052828996,1502738264353215784,5530385386515080028,2935162136092450248,7074915138794480208,7466528533752835104,3475738382096370048,389866203344052072,8393948609739259446,429110160554429046,1347310892582188256,1610790905291739648,146137631930089464,5845243882073946560,3102578072290759104,3652602680825054352,1184003111310517230,782956212403462272,4750526176757398620,1215045758717464112,292971666738067152,3814067716542685872,6523285772846204416,1501047390978216864,4206641049532640544,2550223455286411600,1345178079201001032,1597947634502626176,1375353399033831992,3801494792096425776,4302065688609588648,219977495965204384,898318587557671824,541374836508107352,2195498490161622024,1218267169085582136,111221594284162716,124838515315248718,261045786622562928,5086898764049086464,3481341004044340448,2014386216569124480,240493285981015056,3206433759403258880,717458807710269792,1252419961332592116,113412432774920928,294374661710136456,4364688048924315222,1804488858321739272,282511501434333288,1277353703685574152,1865956033582133352,749615298091172370,1537758423985992192,964828548379375700,4715408124798804270,3314333301833719332,2366548059866860240,3937285272672540480,8693624625772990986,5479132225663116062,6463869604946622792,3222562839042636828,3732337385531722572,607461315193424832,553184067585883524,3951138081996285200,14243023859081304,142423869707110320,438303212222142256,3955727448309929544,903843303667089984,1728168680481207096,7486445757552778620,865379831757002496,1537105517067760064,6201315418003967478,5846834559071702304,1750024981291553832,866285249171627988,3896846245605560760,2687830597912699668,730759484730584256,1826817021379998120,800339799422911962,5578773201227111424,463777084716809976,3864636223423772300,833685016507599438,3652427121060826944,4378807532422213632,2420215993556603676,2513608502160998970,617523225289488240,177556222568674224,2219353539285404700,1499339011106308416,595057704635170080,4462733225163664800,1637115246414510126,4274209486248944400,2941487099567958480,1849849395428840904,673775698634373948,5820327913090913292,3080658636235792304,1855104123362093568,4905326168360019864,827522048065245806,198011495099660376,71366528052070848,713633369348026560,616073319465395094,171235834498706016,1712281777942253440,4831806229565286384,78287967960371730,626275738960970240,5237147735050469436,8103983401179608310,151388791810977446,3711667001126137116,2691176771320905840,4469419825522328110,174777238822320468,4369235595775606800,7840645530209696016,7604036672825473056,3494146396517233632,6350158068942723420,1558002192449932152,777999455192937888,4389131137452023732,2601061725108274848,4599628923161017368,6279516912047640464,6780109104427704822,4197646366049609460,2661198948298204160,3673855521411263190,452675843196442668,1052298290893336656,347961580826029020,4252922145974996496,3224477880987149680,601852022334518256,41117339453432976,1850197543389845820,454462390908694740,1817768281834602240,1981341958328114528,512039602262432376,1045344548591408250,1136197677791223792,280253617803306576,1676470197303078096,3153746425647494784,2422060946491593960,4626575023645874628,923391273927286840,1723191383280525840,4506798067284454236,393707170430793120,17410903909339038,149229646478694360,497409913461692800,4713555953669747544,1646224282975967250,2434248585289344334,3730458165371416836,2531043563049829440,2634076729441085148,2891813262193707228,1614533136993685392,2000461925052047592,780648117588132804,5757405642572021244,2040390619475293472,1367494794196728120,972442095044924106,6265489919501895782,608891380067026560,1420952087290213368,3251435040451874944,985957581771847608,3421411673632899552,1768315994868883360,1188845564596364628,120245954949016848,3607217356711704960,385341574000920552,607812339502082676,195064795809312788,8777523337967272680,2786929372112444712,2331762658732410530,4452961641309607752,5035984073880163344,2082840906074384700,732501513464571378,4883125083074065080,2678561089275598416,323706341611509696,2157945789072480120,5909398757875803762,3431683192787802720,28721406707257572,246172478981081160,820538241341487600,550889330018718672,5139239817650145264,2911846352334806256,422173754318787426,606743214434780032,380315745513396432,7605974827789256160,6230945118140786898,202136852460162708,4716315679542200160,861603294459273436,3908728000435725960,8664737401792164744,7332333561649908108,1255286544938324208,1004440528222911990,101506978886617536,4567609822621760640,1622146068408070710,1646832742050699588,403045170506330208,345214093792151808,687623699563600232,5922159018058913904,4413492125942971104,4364454539987365600,726337652276725008,3479567057073668370,984300968140480584,230337700305770328,1385846090195292528,4523205944302542324,4140649105173641016,317088834639739056,528457763028405580,1967018082367911150,63855053002585728,851362641280290880,1205391168155526492,3719488848802705770,3557176897040958312,364872298160646144,1216186617020290560,640904448679716924,1625981570167900752,4144075586210203380,3262895585137201804,3001678064697538368,1981576557914676228,2218521456506877792,1656055970161143606,5692495892451466050,2760279588606131328,2762630920158420288,194309713849133394,4533690620331388740,2451175979785559136,1321554015099152640,3443127579698513780,183911575347776232,3218308677702573840,3445869084688338880,471402213118585614,3666297737601349620,352733661692360420,2982748603789452840,104234154261422064,458541223168495306,655029604058748480,2759171612635666656,549128698247198718,3050578600232535900,2173140862958245752,4152949942373943264,5665991264991180288,1976753599733776656,2590196704065666240,1790397556385635800,274680713270729970,4394694929187088160,4896124597113716640,1576890019064853504,1351528218719547192,6305568800739108516,2008172683978727184,2512769669723929968,1679844300210022536,1774553209107193512,119356997106478416,596758305266144640,788237584727569452,751309128236679070,2634265884110894040,2730173716644610740,2919725418162057846,4759397600534582670,5170611161992679172,1115796775622856272,4209320392683936300,1687249048305682782,5395730126897465856,214732955090882196,196709966746145616,66301363033542224,662983989718921920,3411274386647231280,6802035358422635968,8472281755175437518,1276447091432062224,2661051631740267920,2236500458268576450,4013261625685390932,2576535518759433180,5528665493893353168,898476092553894408,94267964257317144,235659374958601440,2036361959651774280,697136465072137728,5377696687793167878,7746653743580669868,2434615129239812736,2239297086836616408,1103251956546857256,4047002399986202240,2096968781168340576,218663797030346466,2915386956505493360,3284677643895728052,3979228416701464080,165767063988418888,5468786638500522672,143960479244114688,1439540435859167680,7429297661772018786,1855255063383890832,5199657785547299872,4281141236261661072,1914373500236693496,4724383074221720328,678148817473062144,4238240634863013600,3439737579675075120,324183955340629830,5186711409740514240,2571066551908151744,1174614661904359128,132000501408907632,659973002619410560,2280439399889836152,6167340767610673686,363602745956224082,1038818547775759440,985970496434764320,2204578002073504212,755271171211928598,6678020692760804712,1219247910100309832,259027393838573088,4512190032464535036,1827839442188941368,1794582208054548528,1854826797612417948,2081066937780064968,3854219063852251584,5145492853439976480,3580355985801494064,1191613577040395532,351567416198701548,598481958851634672,1356684847537752144,1070204276533861788,2938254399760932720,180079710908918700,3241289897725650300,2740077928830295672,182412167241823632,456010032711299760,4032485468091862752,1778092026022793928,716298613256926320,2764257794021725944,1439539855805499624,3161766573347941488,130517216388066992,3915341462765168640,3478196072191742820,310281310973039412,2319270809502589152,6583762253635165620,2648241514921485816,5543807436770655528,743022341099531520,3602731103391599256,2612104477819817490,959777474404071312,2570389511254302048,3194209046994873696,432966315504879408,1335905993238166488,1990894256122555224,5412583968691111488,1411824028106016710,881785252831579416,480205892650808016,2400922136921685720,1420867280546022672,2559701124144724536,2300235309382375872,921730344173546472,963620981564108868,5614829283139813416,623330458163158032,2872936769142083616,667343488649299608,2269468518639126816,7168802349909570624,1826034087820605696,3078049644859795704,3565658548662232134,971664976237084640,3422152926988217856,191755037068157250,2684450521335761500,8323972511064351228,3634532600866161288,1713020605905929650,516406193704169094,944734189033895040,1678259926316309364,2290062587320443960,6311743477406544024,1127304482597363380,2838363680713809024,2205223217769144978,4600596603820336128,1321797217015599000,3523442524073833680,1827813377215922642,2017292412738320784,7267392698267302848,360849653850318456,6307231395553160886,895136445498589464,898679573883578304,618259510891142316,7065507156927147360,443372513943261768,418393134314784684,3405659115527327232,1526242479240487536,909073316927768562,2601406883137986504,4050134557844360820,1051940099679202476,2401870097382204792,1350867873186050128,3844789313141269152,6266290129777972854,1177365810975611730,1253492327860045056,914108833955634768,1277636011315079166,902528329153165836,3837247489473334416,4102267672403777632,359041926876171588,1538682339006910440,576907945629807280,2845182513924839664,6946491427338685266,8482737040603141842,2855741616626823408,364188103774138776,3691711236374298110,4261958576171198154,846021462052810752,3538484041424948704,274487568333661284,2833605287826639858,710786529611152736,5665783532480177568,1062139835840293332,2552398240064755016,4035872353617343008,8358234752092337460,2324219368392341784,34548617567069640,414564881143769280,6218195285099433600,1251864286521021378,847682450787503508,370168009694347392,4003016023186147620,810768314381402916,768672161710155692,2755476668152856124,1449999333604799856,1932194880618734904,4800708869071448430,3603906501473311776,1548702103545767580,987604972307988570,168179519453086944,3783870065673853920,1691520866270817120,3385648830891598614,36775661610317840,137902567452098400,2298273402515370000,1462794352235001648,3301768946378698308,671953887210327300,6458196780437746176,2655065711190912030,1439380063019577510,6536678483910061872,1288581101445907944,647273761082256528,1354727079757930008,25405155459209304,1016160801791149440,304426261387848838,1176816967971029232,1010647624461317568,1800558313945049120,1597533074560011840,895250332355805162,701258228079458272,1753067219152933440,689306578886673486,4595171818068091560,6308905277492515992,2926162161467444268,711090863487343844,659824273479700698,4036321815284821920,351716593220105024,3731554729156790844,3861655099832381976,2584623223869247104,3583358074490398848,4337037624666699624,813237891677213656,1241592474271936896,838660283860528512,866043976430863868,2828808432789372792,5992589189758558464,4220161379940723360,2895454283497989312,2922253203458616948,288504798203301000,2884919049568260000,4753160797379827680,5790708147281074458,1116114559797510144,759280591792438380,6746466319732251728,3598634760255753060,1793571151971361488,5648243737236187104,3932696932832800224,287703649107558810,3835877225444286400,7315915371815430432,1880392467790332504,1691320154524286664,2985381583736408256,5738232995607714624,1707723446025458648,1658783548478048784,2340190873622347776,310948017767937396,690964715651558040,4514955538046061744,3305964971457663760,1115531888249434368,5326228063907532810,5194379373628338228,4755840453060261840,6741450066117617568,1442761412957489768,2359312941355944030,866231680317580296,7663258535670952704,7296057791621810928,453414094137375282,2729774050386268928,421577194034689140,1686233420083103640,2186500019212887576,4392771885814752288,6096839132098638000,142616119322840632,2139146194436876520,1354991469826385424,37248941371708356,2607309379698656220,4186798634632456710,2023089285943437384,49897004122924056,356391245890221300,3563753202145713000,1567557769783676352,350746553509545720,4208770561898402160,279908561578220406,5249600950223399616,456045682646778080,912050608161931740,4168237020005929014,4702807091195489952,1289454789155732496,3767263178396001552,3448071812467719536,7411495534027007616,2437260466473550368,2910388492513102752,3140983781464160898,1815997904991802944,2274614816264228352,1840635450435251112,1100891600464441764,6278240397385992420,246529964191508592,2170837571718295392,5587793655031786950,1765829333722897152,1139862591144555552,2681151137156212110,2587890326307313734,3813361943694514944,3538096277390951008,1770993862954717914,367807479511650816,2758432835255162880,6787007120609016048,1631417587722669132,4241419723770452748,6959379285759877632,427773034501521408,1604077201713408660,1088268855337727580,3832590421025885520,2499277974700382144,3885019555802802912,217460367508123080,4349013018170145600,634760095435513320,4688470708630169088,595952731260527064,264689831686305024,2977627554970778520,2997489591668225514,441955661066398404,3477298316956716096,322033209956121312,1788993450524747400,4888491846753418134,2383039410769357848,2912909722698910272,2820418493996333430,842324186951804950,3729956574096759960,4455690258844843632,4964077674856810986,374858112893090406,870100292596610064,462419508669502412,3302848911802436700,1699095143394070248,3283862227250262336,1071002118321911808,558868306745679390,7134701603664799170,508665745109518944,3750666030881912016,2980653590968059288,863511523966075050,3072089547756955824,17670969824068704,88350901498234440,4417347703020642000,1027657341432439680,826825537339775712,2935201697445816918,2867707254538962016,4252389020807995224,3395093046773938992,6276701337903277666,1701223281819204930,527066040055212504,1435774510353208740,3809623000392183504,7192820373611308752,2931837234908876768,6320372322998523072,2114023744792179036,3893316467219875332,4441013280289783296,1008824373802767060,966263792257200796,165640590325397880,1656331899700010400,2473862033527201792,218758771871340402,543910317290128512,1607961680262935072,2267967188217447072,2720577877062149394,1799285551390579064,2671195933775268768,5595763619828370528,6377802429405700854,3457390567941865638,82907660626832832,1065908014013022480,907969974183021672,2842523162777721024,1362722635425035176,339387095661948144,870570025960208490,783979253049713138,1464961980618585216,874123167669453636,128248458629461046,651030597068477436,384399833434700724,99123752790301536,660795496398560160,695173934243800614,2290868437867015824,3791907691000072416,1739661324684048612,177575188906751388,4735126823400040320,539209833435589824,4204219816040398790,6054967972962044256,6991016417364950976,1052456448398118368,1436963345981503992,1447126362611147268,542009969671373828,1278287138587734000,3272748293089446120,3235439768354887632,3520966215451748352,1154246671178993952,283200370017799008,2123907890061957840,1344313641968800488,245279530304910208,613171432654571160,794291832319406472,520063350476636736,3714572272229812800,5177892721841601762,3539221357920924290,1168831252826861436,296366685519407424,6667952542138883880,5046197972023454022,3127267155653165088,870869200618401800,1599499770100138188,1666229894877534030,1556094256760619880,835068028886733312,2619853964262244116,4914870150206080404,2743087099412939040,518335413817549068,5409618389044230858,799047597912675372,5326746028015842720,569041968714038864,8420527461057154344,1526997764428796172,1904209554038099264,8362487470919266404,4200985654710446052,2557459906746131088,1999480672490057352,2814069192175771488,2616999471891343788,936509800877552874,383503479901385448,160221537380082024,890079891427024200,5781301683757764318,4378739854097560728,3182967210720729888,4810028073846095790,2296756659791831720,160502047024142016,1069965851227807680,6634520403533222864,4634470599156003564,5385585365089964496,3526106573054549664,720132126955756284,600364291481546544,2251265530151470320,6630389993358627936,1318580104551087384,4358080801580501940,1212036961226360148,393234446636811864,1068179634658694556,1167426412773957270,3425422160522108928,2811691425506670432,873142163224861656,763063966160015970,1718834073601461852,75291884667913536,107555030965064880,245029808977477788,816448571642841048,6524553694602345984,4792054118227895376,1120362381081423060,1675377849277396440,1509318200840014496,7896850391198603322,1000321370635002210,286034091507435648,4212956936303820,67404300245506080,337006448258397600,1684956979984536000,6442205037940396032,433603948566367952,2106478499412472416,2523204824069723400,1710461049272297640,8516548651164341904,8038632293265367314,2537987499246248308,6155042932967912256,696502910368612476,6964718021453293560,737036588505203712,1382290757220177180,6025463291714340936,165015191525903208,1237558660992669960,2545330201260725248,2938629635295143922,1640477901646930488,1178706455567268928,736086410635650912,920066919173920620,1274304063860705108,1988259678279040032,7352069491288055424,3766304783391184932,1707529744429312752,4676463089533405200,6333573049432017568,2458736540615058912,219934354799193174,297097573348708768,117748850487110688,2038022931745454346,2537331199434205552,3859425119229703320,223226784516583344,826325133849434930,4210799249698252164,3262918182655526964,773227745361852584,380215475913591396,2217050987466847602,1576906824449344960,1208429089149578736,169499624776089234,4466901631832739924,791742080130570252,628501554442920384,1165754368999790056,126908501209602108,3807085008010741920,1931293563009235608,736518524621387604,4285045788870348036,982078045623883912,480324193102207800,2604155973575862024,1621065686898961168,4047072355616735232,1856400680761665480,1222307845125846410,3269942530761957552,2804330658258745200,362801000573148416,1557911100106586268,962502012054429660,206608491539275136,258249081245936880,3417265504125034980,1694648256408769014,933482026297871964,4742384478391981584,2165018303824762204,489995072064863028,4963070772815180544,3073818599446873200,638588632084131036,4561143680471982600,4644355626104048096,556079350586269440,326313024682662828,2730328465308706664,550325792187606024,7969607892513980892,1262708638139312568,620817270952938084,515705691823861896,681101445981999328,1533737764276932834,6799551843888325962,915018254306959888,3066977296371187620,1772063269845908256,4454472252697698504,6057818785271901672,646726760407723296,5543124699206664120,4224221929949116356,2819075467977215832,1641359630209826184,1793935996934610672,6231487815408360096,2586790576485466812,211037830294571448,2713222373654492460,341751475910004244,2282489040928007808,152906856093207792,1274166903558170200,1958313458365891308,4206636816347241720,2495338719773490624,4419866696418323712,6599064240663860754,6294385462866489144,722310920153042856,6152868747737636304,446619839371449168,338312200844637576,2232552394251658584,5674870010057779146,2644305924895127340,4420027486456897920,2367380544846847020,314197152071947404,2104819334462069274,331469218383044696,1420618152818924928,3794627855440824048,17361537090555300,607626666506034000,3471997349292120000,158841193064598066,3849789937185879588,5888220652485669504,4401440893396172688,3546647237830397310,3270370421534243706,7086056453480362496,1695366116663936460,2756701638676982010,6250406949704520880,1452167348900832432,2110389472791606144,3267093936775340100,4997315556706040190,4640251416505048728,2125079686106821500,2328337808996346660,3489338472468756288,627112182487496988,595149044124553056,735427562433685344,8273190686780879640,2718499033102598208,526455087610192884,6472274360372538608,1048836693892590264,3609783253125190260,428548071674436640,2515071637763242380,2720573603337170430,1303901177250811384,4585953411249034140,4640286854074339314,11181332561376458,447233334592181280,345520249143743568,3129172095374449512,1566419048856240984,5762307766248827904,586831645276211812,395361270522984528,520067241034263576,3466960152432482240,1463326365640805424,4085712284650714476,585770749930238994,565772675339376864,4400257687937217120,617452828980070444,2024626977638605584,676278209247802920,2737225907371784920,6011414032024769040,1804668653730257916,1045388502861190048,2522804975781300900,646894676524511580,401293049188102474,471077451832425552,2800560670197990912,3562069464090363264,814371760515536604,2656249703492314608,713877719343376872,1719849849428297202,2275209862685719872,71924876215412424,719216653853348640,2547592271869284540,3006074764880289200,4630167346581152160,2298371279082838956,555951861213126220,1009098370069448364,738126640321264116,6982465302601101072,1467138590353023588,1670509158632565408,402244809133320736,497190670288568928,2096815034248764438,495942345657430782,5678203153005218784,2968128716770387728,1614351384514358350,2518692161004213408,1275416133913457856,1915486261527229248,659746515701071170,3665094808385158500,729176325759395748,2764185307265691264,1550289944469579630,1087819324163676568,6670826543996718336,796203248791338432,3360448159425759872,1718921943539349408,2633195697777815280,553274324756266920,3279298632945652680,5263540924959352992,3697725499820552192,6097824649627992288,249036569110400364,830084843229754920,6860002779886095936,503797092646996224,7556619075941558880,4293113268521856240,106820031463364376,1134728928553016412,2549792407383312624,722271222487366884,6282867378361143584,2226042274963822224,2126005275356547084,5024080954756715978,4091477659732646736,1165772430377156736,416365588959346796,2973907176377725800,1191574641278669472,924612701320601472,4795417905513342288,345106086207186984,3132917601141867320,5554449353993594832,1569577634384764212,3675816803354902430,4901105808598595580,6653474550562597560,804096451635135606,3068577528224496552,817085244460297920,2246943304166720152,1160138284379628642,412156180671082128,268222405371436932,8046313021213028640,2361358673556192630,92257503106795050,1107040625964741600,8138324943755539236,4608114000655675312,232054061284048848,658852318845089244,1259832693780258944,2623118336230923216,2286630674054046990,2433973626694623648,589753703475290544,1786249010296290036,2684223538179204912,128402262512321412,1031225953999472352,4933778539874866352,4208891664946811904,2241570028384657440,7227179825255977440,4014147903897948642,472057621971566040,37291197926507652,82865630360856480,2485857965174139600,2302178938238085936,699715880102055168,2332282176508376160,2308527839612797488,685644363407975892,557957686474137576,7284476521200007168,3247985085150053310,1717740647777486208,934376523278905448,790759121250248568,196248949537078692,586604551995138292,2513907315854407440,6059078945087943936,1825801412321871054,1052182310142042072,5075635003329833712,35334931985389568,201904886451363840,1009479381366988800,2467881151921134180,3543712727853150720,1545694992708602274,458097975830957250,2477255739201078768,3737194690663303920,8130161966253093054,1170877032982061532,667782371609774928,1394996312494466112,5374572452842272912,594708812683833144,3837994379502874528,3162839818358534160,2400303028742376552,741437761773843456,4163896489569678792,1275558522257333376,374245361168177178,1855807116464253564,6686792972184373056,853766535558542584,476327206516187730,87909927862227876,146510008522900440,3162948999879366288,3493037848276655820,389425805768321808,572321178562027776,5007586855640303760,2948525557009608030,1626210864828048528,7515569097390674232,3399701310582697472,61374350687928966,613716121151791020,4611505967681712912,3057561611788971420,1236839332207009848,560175773378737604,6406839390373366140,5021482674120983784,1226138086303385836,507675590832751056,782241426264165120,1302983403762404416,6224926225481825202,2860655610998209104,2294749406352522564,1076892843811664544,3007594067928965190,3547666725926352912,389373720936610752,366853708751774760,733674680887751880,2340198211472310618,615343352427905328,1334822413065521160,3982663080693906960,4259993878350068688,102100861789313760,1020963063483759600,2537642601022676220,484065038435481324,318410076150827160,4590426725558162496,25941325795885236,302635297914361860,1296950552242725600,4630619897621049728,1204314919170890436,5490937291396452966,1782760608524170760,757752144533116248,271672249522589676,905533762861511240,3166154714393720160,4306853683223904384,2512561938853331608,3337037892466807320,124733687934996036,2182216455545201936,1554150718552812510,1207220472686741592,1270104549841383312,1722058180583659632,1178637314678072232,843629735569782972,56177697950881452,312084398318835600,3120704753557457000,1891255997779342524,1386886652714284608,1555507249052086608,1337582680848206964,4409478428660632464,2511153986902898460,3564768919527330048,3984671892756709872,920077321843040790,1575345353697537264,2268165523181638608,165869807238424704,4146560191019318400,6529103868530340096,6162631663114374336,1528054213702861530,1768323479548149594,1971732327661061376,31571093968828788,2209877991144382020,1061920409430782802,2210542705785597876,4143685965380181360,4068622206045540860,1327873993684464528,502695577543987080,641804321565155916,3565420508664546300,4150042607636911146,2599275960684632704,3578766616611143232,6641577904719093084,4213542901900588410,92088159865671744,2071891170846818280,3477432200799337568,4284866421342071712,519505702884520776,1581453061565393280,5434280976213382410,3934000794868678152,1274554552379928512,3089114818535054304,1534975475957594352,3458041397923189380,2681493361100879892,488634160355204880,44064580564435446,3525009203625210720,6063816167437425408,1442182080015475372,1747627986856445712,303272652871214928,3790739068755644400,1063704503294459136,2241125661778651782,5620116100353668712,1295661840998894112,2645417640306472632,1694873400007660648,3039106418387654472,3618571204209594420,870934031466244272,844005894138473616,1102567488355748682,292609122768334768,1030814501724770016,1780663037612357430,3057231352869218088,369556848157067568,8239486710234398112,1530242767013465412,387822779404622376,299481041980270272,5989353694188599680,121578967352894976,1823603171999685120,1704263169902486676,570811614472988928,1051978717339948692,237025497050717838,4559914326574605312,3670407104290429500,2811171590540561888,718943588425487814,2004169020566345028,478492171255181904,1990218062603224278,908623226605433904,204314716091669768,180311793815321856,2615120810670055302,2680633308100996912,1670698954886234076,1825436472502430160,2985180940104116808,95452853616730764,272710276094021760,2594704168963056744,4202244733678642644,417198040565763828,4033197803260112544,3788179223386648320,1164260603176741728,2176646571945137268,3341338857487744416,6351188052878112024,696724926543009034,1357696026957936294,6424949022252167616,5278447632819080736,2535109172872094916,50572217247567156,1769948668917858240,4673436704578178712,491101533833753178,2119917979426860402,4434552419627819616,4459471283556366000,1641089523123785886,3277680819750449640,6778382775477499728,272548108851433584,2725359549516405360,2857912594709147208,2540106000133839184,1541427470448338688,1876708961465829456,7391727713271020652,3873177859417648320,924938969164912512,1469901499255818310,904704965407547388,1156373153752974408,408659779753377536,920989998475966380,1824868831657178028,1518278610395564528,624040427796513888,4414846733728039686,5115996475364276656,803446858015461468,1801175793437799504,2143057038266441420,3416371367715705312,834087597887327616,2099612044564172512,2299148197243337016,231755801780472672,2298025371968803480,2640936839309709696,1772610378232396824,5012883084326724348,1319256592506872976,474823932482791380,167433673790628144,1255696561690289640,1413283744550752272,3986109544640339584,1699306519961247750,1839160879970071482,5037259995970310016,237483067580167464,1319291549525446200,1563716055798541832,2352798565841964384,1249634199128610816,452543414271582904,2031699282024566340,2455811842634970624,5791840033037979232,6690411704411522442,19356310371466536,580663420898452320,199196586727445640,2390252466496843080,544695675431417952,3471301418852452608,328346720845582716,3501901197829885438,728568784762940460,7738924029250464828,250390122651331184,1946262913136673984,5534376308028048888,6136443571233412584,2516488660786211496,484551786268456164,834989253053902920,232840942517616816,3790793390953365888,716422442460880050,673886188530762942,248831951957511888,710916738783770960,6960245104954290006,317419100611476012,3145862408239924384,898249618597880064,2742680005818977532,210679891376693632,759473287062012144,4746001173576330024,2050037714531323706,742728652651421370,1676348163592255044,28175780930417824,563490497300413920,37873552587941202,1893593210630547200,732691997681156928,3256263711368605440,3648711950437124240,5692070374643699676,721273316109832224,729044022764432706,4842219855135678948,3966625664460616608,641237337432452140,712774545604596156,5500229017312781598,3596306918556325696,4749345980421565824,508302786632721552,453682019378806830,5834413397648308704,22663309950922848,28327874634265940,1699596713464887600,445458827776353312,3897590997656343680,130760252753708556,871696160508278160,1581929039276708952,1937416611492924660,8149927953562697592,3635565797174352730,1587589996943333064,535626120701370192,5109981759523158210,2470506439494761298,6669392988412509696,95741559364358556,638248612262979960,693507199932042090,461994973955557108,3680313269248393344,1752993466605265788,3087499353606068982,2134037869923039696,5119057015207980768,850274474068226344,360688643592621828,2636205003298151892,1397036231525361816,135411268508091240,2708104661594858400,2446363812777076672,5121955570509804816,144524536358038668,3125049335793329868,1173384894265849320,2568967931982885888,1315258135230582246,2749199728489074288,3230072302381284288,2387290412048076472,3828658378056807348,836753711040831384,411568297647535136,514437443275498320,4722421803440755230,1883027217485502990,1467307603643033088,1739742853761605352,1154495684301304866,1073979057910349052,5494933087362320364,2818101486499336320,94609949537777508,135249109585461828,1577835956509939280,2035419572073913560,3016706752929289728,154621235439908624,773071723007385120,2753772393558974976,5379030738250767184,2089460346847058544,4592508672593379456,269005432524809664,6750464595787077024,783037610122333644,3438212486694501636,898147042306424064,720222744144596796,4994284005160496772,90440745078172920,904367147150011800,885919538497655178,3327379791717177252,85269322950680016,94739470118333760,74348394864571962,1734718573353138660,1266168065295272832,795880084044728664,4054429352237782056,2318390653075895916,6581058655124238984,3423951806690587584,777991434082702158,2246369169112207056,551471638516752960,723106266783597392,2656825918801195554,557373306087042126,207594519877336880,2075852694803131200,1855487443434293088,174939882321051060,1749320871087844800,900229055459611608,2314268316488213976,1275862369073889240,2833118687431709664,3155544094648297440,7031751186651235704,3082582045057103904,6457380541779565728,2172975107345271828,792992485302915978,1675636587040194204,228733005596558496,4574456278905258240,1712565135626122692,543035495286283572,4826767107274997760,2025593316785259936,916606197276867540,1797254591390546904,6271137517113881964,520845525879691632,1810768116770257950,1530931193807160024,2493265493409216600,2293742645862493320,698417440875051620,476051022206042634,313790218380417240,4537691244913681176,341435670522053382,1517424259228060080,779278458983178112,192729819839122908,172686612949489392,2590183788975953040,1401555247244400816,6685177750432463808,327402026438744620,5238199039756393920,212275247515086576,141181452974224476,491645126771279454,947714012693621010,2392994414479748184,616424405205432672,1932942418281879948,3693779847070077616,141729578734890240,531462242435981400,2555049784401686022,716443065325210842,2743219056115391040,7991236639147467600,2408894678039775048,3027154939845177744,1342108440551370120,3182112667032989664,1797960876208578072,952952917804939576,1173952888171531020,6819055612389256104,1554662035303469484,2294127852730538616,439666567572070656,546325744448326844,5204386983760043940,3616660515424844934,3079505007022227768,4651629776400417888,212172985899942798,1135192989937922528,649785689840143296,7309763378037608760,6169851944686300992,723865576590268224,7767224679917821932,1085425323127952808,2586081260090716362,1410266757962891208,2309577609746381376,2801397745069573824,1492372093039369164,912866453820147552,2003811092823232332,1948331435685243840,446540616105823888,3168607523976899424,575382424260203904,488951395956435056,304182897834414654,1724356460376682668,837349521902593084,1668851152832912688,164171891856281364,820822897057215060,2700488575662695136,3702667070720128380,499936339762254112,4999140722908595520,2969015709264559776,80677484215185408,5647172358646380240,4356915265434661344,7543984857545154744,620404143643510380,2909393767806268014,3841417673208595216,643594841947885140,931474996455325248,1411230213525958888,6984631387751920182,844841479875321984,1110430184989638464,391539924352100064,3915224861520189120,2467364943792723040,1997735129637459552,578419823973596814,1411023980977789840,355884372950858760,6405633417248282520,1398438465603365516,4594659980320868688,1455350267447304768,2960269028287323440,2941774451860298292,3214982839401866016,6200988709290212480,3766583054411268696,2594392219951902480,1818669356687194710,4507278451149633792,948784347170350656,439002236558645038,4347693868868149176,2495999291574318696,73636373453480636,4417985652668624520,67729547301594768,677265311345029440,1276003521052533936,7952672368000602936,2368485687710333208,850673605968285696,2358397133108178624,2003029929987680380,2055770448165372096,1357628114976075048,3021731018235439488,1028086885111614084,906470980070285784,2174288941149353440,686109830894130672,904195918785853692,2576490057950008668,2442307535343445308,1485277598083221744,825112978218867552,348063851578253994,1714145451593071728,2472740719165657088,690366065422821084,4475036717645356494,1585761616863443600,1823457237636278016,1763062969169661948,966567143342590310,515668427250845280,814620870708907836,1492898995172147364,1975152319367157216,1259913978608489316,5310260332948285968,2470496581099928328,687933706410952104,953221942250967104,1543553024120397600,100255467289172256,704006416896470224,879968839266993240,5125017669934560336,1039440154382087920,500190008567102712,2016682100140937328,966359063495824884,3827045721054764304,1701411519257959920,1790304148761888576,241400972466184104,1757338075241144064,3360674628525408804,389982271405716480,2339789452252623360,2926569348753587424,2772976511278431810,678991887841578936,2613913797004110208,691710161864902830,3757307845916641104,1153375557819112440,367857445398888156,217060079745740724,241167129219374920,5261221449332360424,2189004438776976864,6355626657590225246,6011134406296905942,1834947839930938560,149202470039682168,994638852054462960,1488900745512731412,138839559313705912,2851247056095354528,559321243957924110,267623017844820176,2676111040733235840,1025952999311994336,1593845666551998756,2663267970259339536,803950466374160244,5124683974491969792,2933264365583451534,2604394735123590870,5161304699067533440,188627274202092804,1886188774780999260,5681717248118849308,2448739183141774512,6898354708755382272,2874501449786230362,4110026903774677476,23618037707591400,94467945551173200,3306230916767667000,323632517551213140,2823596241727349424,2694480518855745312,2106776436872073876,774928689013027054,4074382792694334528,4394682448066727520,3488655171789385116,2741780834408300544,1382946652499718888,3189855245283547488,1514522058378256500,2226508131322998816,47898138953857544,2394800350284226200,231271394351721570,3426119961207414184,336528866167820100,5045074946087124672,5023784396493249888,1018908264033391716,3933625290621570480,3457119287751989232,587633990969717736,817059383620238616,1981101930427076832,3408951594847284288,715048177550536080,4670431320110186862,5704744132664144280,4361168578381337520,2092722885741360456,2707623378491476920,1570020183969583824,1407326415163304560,82091309516912322,2462629680461401740,70926840208114176,591030696796620600,1899511837575314046,8030238514323073992,3634850320311652620,6269749422401828496,1523991213099454724,336038290925858964,3145064588404610760,4138257279046916080,582499185090251982,3328418641571276880,256946869865011144,2621310449095170168,727352998375630788,644531133844850470,757844319802273056,297768007360735344,1157544074437757188,2949257902910663664,3829315947236657724,87410725827426304,546292725115988400,1096425273925436724,15553083468554944,233285870413383840,6220679714968492800,4485643246181201616,3922577046546691860,2159998207737265872,6664497323681135824,579887535993838248,540219347772009888,5984863635163309820,365238310796125254,74831242543783380,299311651021833440,2349036001079226432,2503052788111138944,4814658218892961656,803825732433118680,5357330394480874488,1522981814671212896,342650687268387312,3216910823355954384,770646779786557552,3481407991239892032,716253668562066792,7206334654116894192,736703848999288968,194111568979334544,432937599768778006,618454766771986680,4396554294314523264,412322923066588856,2356026157353929280,2195087566004049840,3781421359845637760,2658946639072990608,229224562285210998,1902153470160602112,641582964395047800,2898639958667833944,496023558381949922,2515859433835608960,3363060745569065616,469472141367069324,1313635444244361156,1272175446489355368,304320082302029632,319369618639449522,469979463223552014,802482148823787400,3485577299358757020,5550166092475287018,1440793745645414688,3400217033949288624,994863869394066936,2373355173200494328,4391217717825164544,2048639191959382560,4151301292810559304,2266517850953297064,1552603959356395008,806480775828976944,806105509144276992,2408027721173431632,1153056440554979256,429326138491664832,2990449816225449768,1803902318262709146,1711306453383640584,1310192166311394840,4031637885830221040,2422437285201210504,7373848640951678688,249273050694564096,2492619621073306560,790661545662069324,2283537752757520028,2167954137015892368,3545629356716176320,5633724991692363216,2087627752883302434,5514883628133286008,6196135142653151616,3235008590245534356,3437655969423792600,3928244551303726764,2956891311701067456,141623592695653992,1529786279129805234,3976290273268274640,729542054594632752,2477808742437407888,1515497320358551368,1315233684838011456,5129378405109068256,2106268590957100992,2462625410826941316,55453167769096456,554507013105541320,220036526800927656,971865579986495970,396612332752527216,2497813764037783344,4322230812885507616,2623652866229694930,5355792129303874944,4140016639927732608,2589590052730661640,949331105949441222,2704373367016909368,5313943343451813696,4958242841525019858,2237844130332551514,217252497061420464,1448139295569798624,4523588567154365110,1801457068863590268,861200806680453516,1398910135998006456,275697888204724020,473472890921246634,629830050991193520,1447953135947240640,1631465521527883806,6140614294364032,92105118135555840,2149023848049254400,3202891618982969538,6757681644123693552,610776965220366384,1360361577331328528,2061644274382899294,2702675020508259690,2648845958334868500,6206094364627579608,5084022664645931862,891174311615180224,2096470179415362240,2879147069203606560,1664463002317339340,3697955156102734692,3691607671015168080,601298681852008448,1198299532511708076,2836459406946495840,497936776956349088,2045262537489150216,1470460520374425234,3439543964866190550,1238339336360144112,2050477213393071744,2266696349092850796,325971615179776632,548686660148839344,585851516665770672,1301834370675941280,552986659827681426,36271956557660128,3264330937720573440,106596587670480576,1199158289820177840,1287096175038464568,6093569559267778104,2238732471527432430,2593561839080684076,516506353138242036,2597215555647878880,342578569290934476,1619581991413270116,3494662288673824256,2439034915460158704,1359769385840096352,478488915953603638,1893861259439064300,8098435366404989184,2619477884349226098,1213727613224887188,5219054161632283392,820630720792991024,246317285776599216,3289876494485185140,1309665865001838060,6514301837762509824,124214447479502772,1035074376223141100,2388329005706008992,6791794572625736256,1106991376736356998,566404447855443204,4045566194964627600,7862668659492139008,5552868524030601606,2271611285559283392,3199685924920320576,5094607243658072904,1865767512543564630,371280437429473692,1342737145201772496,5209819589324384832,1795600628215799454,574618048187291064,895238004019769856,1304016269324194344,2960164566539224128,468575064038670360,213401967819284904,1778270679286384800,2555997865351097166,3661405926371980578,3700185894652772736,946569575565620640,1127433302216577624,458700051738016008,1472869396710480168,2609245944682473984,1289035652377275468,2422670324156412624,5303351782212862224,1470859726712865696,365317498832204160,1461205042829637120,787971851364182784,504363476015411904,2521705288785053940,1193149304893138968,280519676188070472,411884727643011792,516023146181312856,1168140880321925994,1456545283784637960,211340566806035832,2186180063455056144,1264785576682527606,4912673041310294016,738287872477631928,899150366654159960,8081286828830134074,3505872785397773904,5298497736360813696,643135443454272252,515114285381939622,1300827847809370320,813720837191351952,234171696457330056,3791570341826265292,16648366012926984,998857566612279360,6118628961192771312,449386194379187244,894542137390219392,847363513035217596,751916225396922588,1446964096055511924,4248278114153348328,1566176289508743552,3171062215239844860,272049271874182332,2720371819399109280,36650532029116740,3298401296008982100,471564840980448432,4715438849960287680,3529756143524204224,4075588089063012060,465521931787610736,5236889004107202240,3815135964664413624,1927828230540434928,530657584847144024,1710417469677324432,3400454412411086880,3558109635574329374,4119387106245884550,1966608197254968192,1267192233584739660,4401757355421669012,4478695416671767380,7821385027932981924,4217157063720004824,5694793917636067992,74956731873648916,3372903055272739680,614630561323958784,4466606026330996086,367643207120374824,186529181147563716,828981747111159040,1930869600793959756,508773321959691792,2543753580146279360,72106310386851948,1442062131589878840,152949233873237232,1274520317942359200,6776660654886626064,2074483494655889712,5345274404128036686,905728367175723264,78651634263515160,393240698977011300,2730076303903360128,1438667732374738216,35135265715173216,936898792045542720,546975613202101756,252751425184974672,842467319885476560,3733760148177862176,3352448791184555952,304291088036261892,2805939603408422336,3261420145278048792,233417915619135318,778025152545836320,5421835644415052976,3846741419202582024,1180927252940636718,415017705849744564,1123781036731398144,946965649489179632,1146834528696147816,1057445755277781168,834064135454165532,1881838160582304834,2683943579567775888,4376807300492650580,6145781007456615096,1103346936145096236,1230541389693874512,4235581544948515872,2009297586527804340,3076068827858074384,4849905231693345456,74821514596114860,598545527749169280,4799591887102096752,1242744141029474592,2507496858620094192,291891287298774372,1841727037190198352,2548789639488519240,5551248227002827300,3956807215653155520,4470142697261455584,2255889317824766592,395656536381521616,1268658127693428108,3871138641867826776,723179103232046904,48855630505142208,1302758946770903040,732664805455142406,482845558112779476,3568908624136232040,6946838417635672608,5608714690765370214,2575657596018434328,525888127399444356,1562964383905399920,1302656343675767688,1227587438031580890,5979944124274802688,3017352162421628064,1334099207445786684,923058731240894688,1293087076891928220,6366634391733566976,7176038314269732768,812737853777218224,360279535606554360,5764216561495574080,136862164783481544,912373910780214240,437415736144999700,7873133586582135600,4863055070370969402,683890166477618982,1727559757253013264,3514034684710648512,1303664718804446368,2301364755612633528,1544171996443990464,2541076732841543424,1119798823900860432,1515859914000823974,1161683847703596720,442239513475949136,3380305651281808224,3619989070075941858,445226817034050552,2626273936105342848,2120285938774376682,6469853154441486384,365186185592250528,2028722052662374600,1925648633348905344,1377166293203011080,3044448760443317168,3220231271874892128,786631531724895780,3755068680107398986,3583284462213158304,4878119234142076992,2206517091839815164,1029421862947118520,814860481002286104,248512629118261816,710004556458032040,7825715998102902906,3270937398473251760,1728061996279556808,1199947825545743628,1066237387025785640,2767061181405041088,1558091438088495168,1289512128660861864,1758295251495548298,1171761231079143936,1561639705368147016,1327531034804533128,1159687394569285074,881181090399023832,775392992632351656,7189417197479475504,6763088785772483712,3766763248144547904,3685040955432303984,6282402162398629792,3557109016724064120,865601377023201636,3112282572728782480,1738155830805993552,657933609612839406,1659263466337977080,1923392286260616492,1479477123320466402,4508720668480703556,3382392390435169848,756062555084755968,211272107021823672,1148945252966865858,5243969496927089712,3188315544273301608,4331180943230360670,1267591239565451244,750485500386063584,368993869138603008,922443722987195880,305409629533397180,4446106975249218216,435284026934037072,1767768423567378534,722772078357837312,47044446463611792,1176058955281360800,4550752437909573984,677834314579032312,714504411267529312,77993650383107184,779901884353049040,3267135307746473552,4146789350031147072,4360307629621056480,273422880762995608,4282425995164842582,2114662446419328120,2431546394644794476,5601075866588827254,2617855996156010172,1413043526963355144,2483894966022523944,1303583331880700370,2475679616428860864,468090323424188064,4469451962697303168,2176249386470358636,636439457103960972,645552514378361940,3603354698260246752,3087055579006538244,4237499872016063280,2298080132808179720,860231466844730280,543178129333539678,533479402376726928,889092877232675040,2631915022758377112,4558723026135626076,475296341977634724,1507755876950534400,689551331433939384,6994079147986146882,1299760450988915784,803814462564200028,36537639219297216,639380310886420740,187169292698540848,233951233337774640,4477111910584993728,1028279625914798352,3163893673334972592,6330022362679138944,794362315575699072,825771996327697584,1753659990225068394,4355403839036773248,1137064777598444544,3722169340395945558,3478796228404136280,3457751564667621060,2757276659658646272,667284938692914262,4025058332688123822,76876434219882600,2306190690963423000,3135571968502572912,5801504865127988544,138480950735267392,1982610877737435552,1533083422297543110,1329938213556313540,426557030881044192,709630828129592136,3494826535243174904,736950628496158902,2069003453261507136,5660059794727392544,347110689509314104,867738221896484220,5432349597915175616,3418687204566070968,1098189960684389568,637787358256416816,1220995769125883436,2567213699973474744,4489397292101007888,2249474833520659008,1026762725467466064,1156864191373614856,4090144143481984152,103263461290359810,1299602719078901604,1111579729144112448,228993920841604968,2054788133491974704,2786351872489956000,749630164151801892,3531170241726115428,2601883085790236304,165317653756965072,3061077059327905056,4399974196933392864,173192773427320284,4220675607202530240,1355667381946440396,241517071902103290,2415063580900040100,185491078459941348,3709657001868333120,7718491903994514972,2355040829877798744,562936117004381376,609885706571295728,1161981144667241082,2915710399041468948,3466826719161272712,909128484781088832,657705421769435460,1463012513384699886,2841779568882000384,1985012058706190928,4218190294634343280,6701315761938731760,393916091381844372,782858604484639744,2200319201983057056,958350555839915712,311113846694416904,3606438626892307872,595084585156608240,6694404648944849100,3104876628929052432,1579972373178831984,6457835742636375712,280419787478212506,144703659962663712,964648280573955920,1564550254040368680,2926779774065138016,226230023556664704,734519688827855472,2027546636534712216,4439351513670380944,1160452166197806240,1645787150821346328,169332606080294484,7265040438097492794,98044571282588316,283369708326197784,468939460259376144,5275334968032383460,3277539398483246016,295184658668386608,5310977476286801682,2346258712947123392,2205450468664271136,1397152924269665472,224659989397309188,475394563043856516,978500714618417400,5445913210071556788,738136058870854416,595733987668251744,2902214570189949036,568588074746568264,2991684726826405632,1389395629329283688,1929275070506756352,2985787427404726848,191584819791965952,873598542377782968,1712671533223224228,2391794669269350144,3570333136569256896,38094670515279510,1904649068941254000,2157952320568526592,214498019401027710,3860793155564493660,750665558602859712,2144038773623021760,5994294612623191232,3740837851908780768,4326107817396665664,3490740468039956512,766024865205145986,1752829896453764364,536018265893441144,322147639150126848,1610666781474264840,251472043978760336,5029217895425114880,676984657900668516,331593880747735032,2486843846784484740,664402461845963112,669679035601619208,2541669156142039590,5305559105261250000,444043909411723616,82864258924021200,207151463297029500,2733921622384910892,2317157864581704984,1633822794079817760,3698236533530852892,6030033944171052312,2645094224222502624,1709199191637725264,5908784212301151456,1587725652287599560,3149325856864504488,6651744615703782720,2909987492559691536,519479355836573260,777975009350463120,3363012739226912580,3801363423771047246,917541107715321936,3847984790693303052,4457169343271120256,2181745797804811728,207814795111487952,936140730821277168,3386000351647049340,3547303444718377308,2458352239003641024,5091124176301207824,3776862714316705944,887949872463714192,311510143644868242,1400667506029623744,3367879870767458820,3900183879582839982,1932000768611185776,224548049963080744,1200973445892193680,3184635321406596240,1728588064759000434,467434064541803328,4729935958728950508,2322600617395177608,2563386656507629920,5723487059690441760,772625653452902272,334381678242379416,5015502880192217160,840420218594445152,3369043063156370760,3947126399600075202,1387247182670362016,822236362844335428,2281338451405820928,1442373027429182618,1781144853618035376,323184276458675352,2932789234318750740,4602156678801568512,3238384806786589236,218075584312917220,3340351795880488704,3245902593116919720,2890450047005032842,1701442731180475872,382816272774405888,907631615056868088,2669344337952780306,2592389672442547704,1892559227039203712,4222274139255969552,5211854563575626988,1584610444316380032,3058963273935554832,5073325490661980112,526069963332232162,855607358448151980,5645693520171281736,106458495655591318,1102098318701024268,450706429675938816,1502288197856053760,1395620947089957744,1490223464629261740,722276522001529456,1242363770169865728,54254482531978032,135630196685320920,2378691696620240520,1064549998729925460,159844360277187192,1331977318641757800,159558803915455476,1139655247325767600,2593352628256132980,785323000728658950,4056750610488463360,1725923493028687356,157380800851168488,3468318856709119090,5432572207787082372,5043509385624458784,1155236761202470296,6933118973567857326,1328175182627703648,1445092491447371508,835506905789767500,5266390942341468192,424631328568663228,5091704549478250704,472751105914301328,5439935589375748572,4600189958431023936,1260825901753021344,294842277622700812,4757561365930672944,4691515806914080368,2185030241145777408,1676964236810815656,523104367664896380,1168343745986149656,1579542732853194648,6911502721215552864,2906967900033210984,1405769628944101104,2338891022632841664,5155502839988743836,1816725861014531184,734452025347288800,4129533134021417276,4381098626073830136,533201671127453790,1125403258822381656,354267213029230464,906382060166910114,2695863231194266938,336529752637378896,5834924622254247264,1324448299073065260,39689579124739962,926049162510105480,1777720512268002656,52105702063725090,4689305488929060900,7366490631331238160,1400398530171630660,995643505702098972,4686762613871807316,6284753951679882816,4152874102572059520,3220665725281854256,4107641020543096608,1488539784328677840,2930157983218052664,2022067404771245136,2973335605269091830,3396381071165195120,647746536457295352,2329150892166841386,2081985330935143482,795745297561511616,116304721981198152,4651982863494765920,2746109840350915620,1360263215881068048,1023988084104073792,6591426091534059750,1520302351113469740,2041516883144780360,5161075157798908488,2822441215310349048,2857488045976456290,2715728167697060340,840239525201123520,2409746480978244714,552319385170401288,503659188194286864,651172376812450740,3351889707065843922,1946794157300022588,2045816186313087880,2335661234334203904,1733470966314328428,1551428301156296052,6298889492921424960,859433794839646344,5629989189111355728,143799072690239928,1917236079215583360,1929876443192023728,1187577507486573864,1017974724762750066,6109822842640688384,5004758956712281536,726095873529583956,333765619600681158,6377427417738312828,226838290117865184,6048753266963418560,4408988402703981312,1778782461292768176,3943948177134429240,26331457900104666,146279401076301300,877637551582551600,1784825335851032304,2427848022420414594,5884027324787107986,1045707681545141472,6794551498359768480,610983905407595062,4276240997901420120,4696802005205914548,1159844781363283776,1090689120490637376,599442372584219484,741000850270124304,718918500958115832,1667491405169923368,101866230371563636,429737911583888124,1671191411481201672,2549031751894187968,1681150918705623846,2113744659306697728,154292189244880624,881630627466306240,907557828094995624,973690299332922600,5981782033830831744,1431077311121791212,395320944886422190,4080679948069601616,1435948006173107220,5764785721039579824,1036706784788062620,971456317666676424,5525154097697351592,128558483399012784,321381983896236120,6590179242242937072,651267341443933104,2530539378384283992,204704649000561858,1192288837432492224,1072142249965538112,533340914979659892,5333173113663962280,4993480990386103296,243672933943246392,2064606472047518388,1636691106082961604,2527221540859615072,2683031418002541960,971966195203670784,2386214080177118506,786793681376687712,6415656195222252,85538297150075440,427672559464748400,3515601659005185624,2465486116202478336,3683877000036085584,70725359942660214,1885926141530250880,1220088473805427632,6010389003602301948,5067438834982638198,2256923285434593288,6845685232958441424,5566410180870735096,495901149470140806,3541994334943653600,97112387803347312,97799196385918698,209411237286348636,1042832542121948664,4324057682090578080,3947941217945556930,301890313175850256,1509384779852114880,1687499380574712576,1547652684087430064,1508897708134316544,560991526239557664,3706919879830940696,350739295494918624,4676317036985959680,3652152457736204544,2551312593977214024,3250128273205724010,3132745889523446864,3403304990735948352,5346260188157667072,3942613978754910624,3707501997426267408,816036005805471000,719734317084941676,1090540437318934938,2742118711780607352,2996197825550058384,1536750374997811536,5328903306496613970,5080692228269426016,1720044662885864112,2138785073845155648,305196823850330144,1961726902283970558,2610101360146968648,6898035945640318976,3100544493272759928,3104765760531168048,787052672080242528,169347273879904092,1693397830016653740,1351269051933497432,3926535159011714568,2212909044013987560,609345923618851650,3385105394139472500,2008100804875528608,4744789760775698144,1404298756275714912,150172747183216656,2002214733006613760,5189978612685294720,1164782213159747634,3577405133642888196,2449633652848471680,1629759620193924780,1027830412304561840,1567025292494117940,2603901393730034940,1705091178875027280,3431885848600760010,2300909431412518938,6320163501163929888,386980526516341296,1658414623008076560,303158630896555228,2934714655232049228,4256850488435600256,1162503618488464392,3367946562309605232,2182260167762700816,2166730532976180528,1934712863650539288,1936948093927598040,1470051971136354660,3288061389067226640,1031021374798194912,3347259544690673392,3211887790503442944,657488568968529120,2223610786312337490,769865252487059760,553014825964821144,154707666200630448,2062677669403852560,1612887783470620380,1171942419279499560,4227483182294727936,2458981078618079268,735171816553295252,1375136418068255304,1124232053571601680,2035577122601564432,2220702163820986050,444746895830059872,396692410892910320,122105786032733598,2460226495488179418,145743567490701536,1093028427226010880,1158895879932477624,6288825385286730864,328748110063872984,2191557169013253840,1052030021722683456,133514869142940804,445029887604455280,614208800659590824,521778822902595918,1739185849805506740,5244930505643032512,4293895405768523016,306599161143525588,1532928033749757060,3060344189158199280,1399424931757804608,138938503963051512,1389323618458734960,1723164067271598480,265720370720986852,306651993220902204,4088512497926994720,6140021860021228960,3631680315084936240,1259978882278314528,1633218981280169142,466499374718545536,3573677398902044688,745753427239749956,3064171874213769552,6888158739492008220,3536380945574653120,126861066739131912,2802761110432600002,1593841100182673808,312205267994499864,690372781893436392,3431396014600958936,3831980917579943820,4321101703172782752,775155835098442632,5936225089351957092,669613050195109056,1242798114780002264,837293515925173308,4749549513930872622,71075343779438768,5685776197210475520,332456293761528096,6357292784899330672,970845501987164664,4674520150467243372,7708723307772281190,1516664294483516508,4509040331324174184,369986837130878216,2075333866287449148,3428070978788140248,4589916730453089504,4583200374470909160,2103995110010087772,305262576463754336,4578736295995888320,2779246165770657792,96291983568972416,962877283673099520,673297110558012816,765767125914486132,2891147542251432912,2639789184467901528,665489114810143768,3635942565351358920,1691217235806560460,782404765159402698,73217521553270688,732142862858934360,2122033886355996228,1272105589766262408,2187811610010482544,541810531967556608,988710870387578706,928794566261232072,1178638943088258176,3477354704300576280,49514260355109264,247560363207769040,2972944351961341344,1509917954863180896,6323172627575328390,583936076193325992,214415545520813856,206092599688139188,2303251544844638976,3463151176951283190,1730470778873573816,6019362687968499744,5648938551154204614,834544491028348998,1292774549577767256,346427061671736144,1445561725849670090,294329912105132394,1386471966035899728,37004374880642736,164456622885975840,2055616972419906000,649595918801357312,438391106553949428,229116659275961400,1145532690345703000,2680716112292298840,340314990689770176,4181825121589873670,4041883014868436598,3501081165554627904,3868540737943461648,2746867954241480202,928297851931953672,1583783735484776100,1145651346468315504,4312233260332170624,1207848784819560408,1700922010142374848,1684209148650814716,2029662567060648144,1425552555468342732,1685188611383099712,754538512013657856,628863470825143488,3304334308594428252,960892548125384544,4876853508830505312,406816876629940842,903997575694146440,1784842911356511780,509117198181688512,3268149202594510384,2746747411441581282,2803106300735424384,2808954694222310240,164329237043853156,4381919459176282560,293222501536821384,3062182739121328752,6484291798964598576,1320538289111032488,709690304265313464,744809932010225568,268844210973693784,2882637536877028764,971527844529100440,2695978003321528200,1470502581348158568,2240916670708270632,561141071050259712,860406456782982096,2120054268186372480,2358759623116737528,550648847827795464,217467123613393536,3805506618431118860,256610782662903708,3358166761613771712,1879054559117730972,442374687649407876,4369964669161730424,1079864195102810600,441734901391536768,3378070432116204804,2554018041373668750,793202838948546240,331454387111781864,5560473937935606858,1601264204730379926,267827942650705440,535632235633327360,539784119509395084,221673575513252844,6649913660387784480,1951348132097860608,1696355384437930590,958505993190208736,3839968110652968480,3413313679606268760,564005508699928570,2794227494003475408,2762234556067071360,28354483708428608,70883079924594480,2480798275988701200,380805592416297408,359400369613389312,327397104544618386,3273826518612023940,378787335223894272,849568935690775080,5859918919108772406,3683407876893253476,846029212021028256,195672379247549944,1864628763952339968,1821600981375478308,159247638467983232,1990507615006350600,2137321805762162304,347066540332310456,48614804475968544,243063293337893760,2830301410166009648,275916332758651308,524532713710070232,2913942011938899400,3958130481999641784,5108378718967751718,1524730899638110512,2328500710703541960,21574722588670644,862950815313458080,217545913327725456,2266245662067845040,227196326444207250,2749505050604193480,999328341458778552,5237627263721368096,1190116831195029864,4712084826815602728,106008924547793672,597868284367666692,2171009892061502976,263222825270478124,2277084818600010540,1254815757928596600,4730367112333466688,1249838482201066566,2112643873880795136,593407015496056240,2284452989732692086,2728961871687215688,1599513076716301944,254536468958532816,2474200881721706688,3534857482658899474,748656307137635880,2420274956338730592,59335191113024716,593325729646262520,3477625394843729196,847765888387020512,5591735922694552848,497162948812805772,3063781355456191744,2341140176079556992,195661232927095518,1956526000238731020,3523581514128720156,1470029752537219200,4253458085717424516,1283353214539157370,2518049156491585872,4600964242297216332,3892085473554113262,1209303023769333504,1186266763991635232,4648508123781351456,117286042852237734,912184533007063540,3106531469871226656,1132244365227403680,3892320396535586442,1621025369342820576,4927191004718491776,725661295165567280,4737703376128604112,1535642965710762192,4836703692443200512,1982577345841465272,5819740785811211472,2824539240061050764,599604870150115104,843101721076015824,2807850074986284568,299356657245303288,4466353417170457008,2588748049838514564,2373158485243728684,549602960395550886,5495787179078177160,484094770805531040,438829153534422504,1908982481616548752,669395207314184256,4797625614544651812,7608886676420687802,729693407713702374,2585478518260011792,144544774314162240,542018996741880900,90452615549615268,324976846860359232,928464325862744880,704380651399032180,179916082696711704,41631105343078764,2081463465264184800,2194222441304263728,1805532738525358656,899365080164260320,3197235570902549088,364790126781600312,434322197049175152,912602427080977552,5096403814727797344,4137864021894161952,27140646431950796,814183487274553920,566286049172258256,5024453232682304982,1753703231640307296,682795803260058180,826790086558847488,647695440152885556,2667044489006083896,4670709084724065656,2017016530959997836,5064836312936978046,2651894767541725468,360245563256263392,1221076168387307232,182787089661282312,2437053735049179840,4280669139460995936,472023320636342980,872295930400332540,543193773142851810,5431698234520937400,246339340821959760,3448598717019152340,2573678266263420280,1752281611084543968,783645750523778400,123040729279930638,1495670139541204152,940258447256691288,2824883264928520040,2046335947588814496,2502575613069930810,635330271999070832,1438238695981052592,170753235985162044,851323579911271874,5655990491163765564,3375972189702861408,2287835999504437732,3501227099227771290,1236695996893397376,2759579074596081232,361821263448251628,516864734037373320,269248902119178688,2692370334371531520,798159211334479434,840341092503209406,2106760142292524928,3147654120867714960,1530288322905099790,3950816997608480592,5947584814720020420,5579595996154762032,1268163674014902372,2416529246815011888,4242040999192116064,217997920194628068,4359766236216671880,3393046512003013184,1640717978636931552,3041115402638020752,3963632104876269050,924869883383304744,4815945660409967616,277215698712809504,3118539162937471740,271102770045430272,451818036848808960,1218621284347118400,5092553966174518536,436548062960853984,641174330026859160,367333490797022664,2448782017958832240,1114460557011855024,4845839252595238332,1540369141915195968,25420900436763174,145255886902455120,726247429674118400,1921314282807058128,3407807933594999328,6738205056161267328,1467613375169736888,1007505386494407744,3064995587017306520,1657525502920049208,4200272480043925992,42873549474969064,1500508112055289260,1306327505275956708,674449142648573600,6744194253109488000,3723400188071880270,615492072030802652,1422441743573628288,70379274463039296,4926332150431549760,1452716313247701936,1103546145817878984,1318688982182626560,611473046022436752,5350153427221666140,4886805648209143488,1388549117963286828,1804995924854228550,1373036279498127244,1782387579695401896,839463798656059632,5001447686037558042,1910664027006808104,5621400825679590336,1366781603755657740,1043811848284442028,100106543421825624,1334695113183495040,3887274435493891920,194273748047721972,946846418597130768,1322293250487543456,1493805003044300328,1937509647374293452,3906735642068309424,3715757713196937000,223443593362438328,1586769499397440008,1556829117452810772,97879314729887872,2202187577093430480,5933227367004589344,1192104803876552688,1690740861638248656,2343999944226492288,1130626212995035152,1682553943981432422,2965656910811842368,2043219629264124060,4223180207172058890,5432118852810431418,90194385463085756,99520298039228976,3483057024330106860,5721855903847770160,335753700500950848,3205630060279458768,692230082736139884,53322657402521892,1599609273129136080,1324399832097162816,2014493110933405392,777167130985368750,422990820374723488,1440157099306327668,1769820943039005360,1197099329642472744,2870823308310737208,2107104424219291680,1426424663219436936,5133644270023473162,1566013673102943456,111453145295777688,1315630520386014090,231566477602486806,771854270227840280,513076592815445664,1140120002238297240,3560015356471912008,1652618861384647968,5425968551430093876,427161153076683468,711903908630304660,2176116476825878608,1111537814100998704,452005084670736216,1062025666419750840,922071628942085376,521054288871630444,105773259887944704,2820496081109237760,368213116933232208,2260072068931509408,1820966896255021860,718487041267627488,2081362113732938256,668059231991150960,3884820248160195984,4225992202370410290,84190307530843428,841866012582415920,4593139456771153476,19728350546138256,98637410391050880,1726078694960113200,765402864293887012,10438785979422984,182670713183868840,1565680047065203200,355967925566153292,1779761282117778540,2498032994834519472,1354697254684666344,824179940117065026,3558290930483220036,6652182865981972608,2668590938115732384,723222853234163006,1303619608820352132,776303720379851520,120740441993229156,3220129561375786086,1437419284073668896,488631898890889480,1149964667374024656,1284818205952771398,214068258746164860,2854117830892905600,1192104657918264384,26469936666388248,352916956298660160,3529014245432966400,1157339123628797480,804158311621102218,1598282973888067944,1798165199726023392,202524740922499152,3544026996757204020,2454163045376288670,540206303573046276,926193976446976128,2703712321616091210,2830868438244846552,3594360824534721744,197762419783316432,1977537174869636880,4903506102000172590,1079999902826241320,2314021581574900080,1155825299361598650,2293396392812171620,344399891228844480,251219228315580360,3014498094750048720,782311308341501970,564506364773734812,1295713594101235456,1236075789982770528,4877948767803002346,1647672560670655728,1075697164040895936,496497311735605434,5072314209172326690,923842913570244528,379246072209412440,2403785278055905944,1229237527428960192,1266175470366992736,2487551558067107136,5282694854601369912,5351786632876725216,79227735051349980,158448499266885120,6631181245043069742,587014360885916172,4707771522294748896,1528737570479271852,1955513121077749024,1302825972425865300,4656700734242778144,5891851805633435648,1171875595774743264,775429124093621508,128748909936812192,2641350913622659224,1329661134209575920,5704093674972557578,1573461370425295116,1460618679549534912,6206538048486883632,674887940153799570,2513850087055047720,3964664133318857100,2149921059846991074,3714735375458075934,225746429162572416,2819222477847537840,2789294477199408540,1992915876409086832,1497655791634300320,6435533130613605432,2643797608124268904,1171620880863272136,2076931088276843328,339975375065397312,1433881318986853830,2627781984175198896,4473185522631540144,2737893946189055136,445342474959631632,1484409634990798560,1956321340204238496,597632014332692856,159496355450683698,3189786833675668680,2157836600357869824,2116377611479848024,572906180167191888,2286065346505516338,5823611607864702176,4610325892516784352,284281524132286824,473781706638925880,1526494896526671720,13783184158398624,551303124621901440,4792980119486934546,1761614518461422016,825342514779871536,3216356729646889230,4111716744765566256,333360559677253120,2666767223298309120,5242576607061633882,6536647476610001388,1000295878329010656,2324696496465885120,141532893598713442,4560551203190244624,1258948914527130048,1514413399444967408,811043356588702632,5398733906665658496,7497327747773298204,725223903621616536,2462091183567185940,5595703019017878320,1177067965870576320,5315038405187300928,729981662171138558,541479346522274268,346265955755384184,83796218223546752,6703402779494319360,3109813724048367864,1211664901220720408,209076124700615040,2508803214987490560,7230012943834843848,1299700153714516668,551197152120378600,1806015159045660878,187954154555933976,939729466819510080,477279045879301020,3309626663188858980,901706268921893808,575455956874885240,1379605996803874176,72676030079423556,726728359557204040,2060731876640437248,351959603561869152,323656798003788762,2157617158670087640,1323440207856788544,4144498523071558784,353684067129312804,2346274194227438706,820645055915829312,613339839123414084,227916089605061778,591931234736382216,129226077242179524,1005047544109832160,1184531129103402812,55439994248691354,923959301091274800,322305353301541232,6145205193453273552,734037797454440112,148551470052139288,3713623565656808400,2726656169681619936,428283314491503552,2855096640502917120,3537543120402871008,4467160924021338176,3155247460836297288,401811417982846128,2585385777903486976,3515039697976791810,574361333210920968,686640771383208048,496434582634321728,4964127719026720320,2143103634513144226,1067052616264458888,1397095967749002240,266375486619716122,272110393980998796,4144013312873524992,750407658147999648,2041039872462558690,1424764800920103192,2693397486982120016,2391598453280153280,2858221619835386550,5302425365964805504,732379090428733128,3517255205636177808,4045557390477020020,2048031015370876008,540587989155504384,3378526519484579200,41951692787750496,1258495501257069120,413603205998674336,768403979146675872,965525958158497434,230971850713686446,2504462836574045952,368886170984396256,321992758992777532,5558934984580373136,862164609231006912,472185187558871928,2570000649973664250,635768556000959136,400475704868803224,5339441550794993280,2353024513432519614,1354868742734992210,371394108066736128,174348599286481488,304714642717232660,5484622693027527720,411284111755098312,2618597842704468352,1881739226823387480,2394713940862393584,3134840879267451680,1147750979676812388,1847670344577563088,2072344503439450650,4686308471762899344,728185138434413928,2982388421044766304,1459237195558531008,3420815319508684032,5256261846763064128,1371084239939839836,260552816058004728,3697106524507138784,1255565906361708480,4938341592174816744,1998262025532547698,6998709295365152904,850183408005573168,3112696381326930496,1224813205246325250,4613832908159820768,890790188990376024,3458415761677072464,1098148369140498690,3039883898650094848,439332392954513016,964354461283318050,1242969722723780280,7252863848956302552,3492378689107480368,3946853840881091650,669104558564016804,825883579488520824,2801312050810490864,2279330463567479904,1649387270462885910,6236638126644131232,477274570729087824,3535244455847125440,1767982791554329840,1599001131351875904,683142963453284712,545653956714727432,2098598678091327096,1259612499580178976,1682234837842300672,52970626207570500,617963513658172500,174100548504848416,3481858137553596480,937765933586510220,723743991440984518,524371843380175704,418292885352695328,826664674335538344,5440460672848592832,1106135254092327360,3740478360346642992,620137629348780888,1752131765392922034,1614774990745209888,2098635289632669888,1070021503151007840,3238000370002567876,3458014597265592000,387757754303860260,4085016608518570782,1384000795923329880,105830977909258536,1538567376839992072,520994536245634968,1614152417908193172,816961188738381792,2629722924891269472,5405100892222145646,354017009736491932,187172828454563712,585896252648675328,276627966477116228,4359831957860333328,2948194054897344288,42775969777979240,1924834180567407300,3238932750367007316,437262280763388900,1464266298213140160,772835115519140880,707796403540446118,750998930112895104,2423399482580773824,6192350625483845064,1251710512351487328,338504821555823208,2616429677373868176,3549332718611223102,593481991508493876,288930876113484704,1444591003647852720,3140543279982145392,209818891845226716,2117201230998347640,143276392532097000,3820536195621820000,589370130089940870,298556807603621328,1326860937951098720,5639780858870814138,3137011777862287812,1853248851480814416,3080635766419493376,3519470231604021072,30239240668448740,60475828570243680,4837854075849235200,1704173508426403278,1099439898498804240,1050603335905229712,465122855278785696,2608709547212666832,3325362949288026810,6354206605665639424,413393640637833732,7089051703059579348,696045607215184292,805717265723929584,4051140815136488832,90920683949418976,909166965335232960,1456530389926714080,2072774850179213768,904590798344368764,1025408647006432290,512843820534970904,6593417109084111840,637053361533582048,4661523596120348682,163200202311271488,6367679166855297504,1743379155642151864,1608934773170886030,463622900579062272,646364971222834816,1448642536887533148,1113779859574503384,4434969005087756928,2647020275890242120,279964152537032628,2341652440585581552,2101174543520952660,171575901391921320,1470586102416209400,779954311292547636,841239093769314336,595709094764532664,4251347469257058882,1640871569547026370,457685688510009168,3203738542844319360,5309543621276709408,1580973444948609364,2330215602556904496,1629471367493453016,3789043528018165812,173866403717485050,2781740506605403200,1235192626026892224,3762274564666743426,1460848751577401472,937864220048564928,5595133787503051572,746418947832756036,2751209261289026244,2956858867692255360,567148598223515904,3544523362049554100,412104276655420152,4696155612063473472,1896184383211286232,5910850003124886138,4357768270468830732,2937300923179400360,33827846716840536,1014790921241239980,408084204056037984,2720442120683581440,362805309994978620,582374803670344504,3274608497998216752,3026668044459364704,477884067802900352,4778631239526077280,675350113685748930,3100102144460136048,978514253389023264,6375210959712010128,2784210794508111396,3768737274031200480,1083684074480920080,1247263263700279272,4112779147187410920,2888850856261554624,2763914027172703320,4734307001300226372,1035112245572328336,522663150703861368,187923531702222720,751661188652124360,2547023604960268032,389946324893147400,3899292385665201000,597090018033013972,485529463694823834,5511584717835855840,670971007882843536,570164535915613092,5621536663147359072,2895736147584986112,862003882592202096,1496788617880888248,1639690435725499216,3069229917470811264,706617077600501568,201483513125939792,872740732210043670,718446594385590048,3991195109176546400,3900784254388196496,4986589647485396370,1848977723583228768,918419644202657520,1716189743046283080,255238295357372580,443638590054443568,2465000937175397940,241497809418681018,4500582836341881168,9482724062199852,568938521068033920,1043200162134478926,980456313826679598,771428677542977192,448858600374141144,1159859830954021632,806469478327171884,1151612134604521128,2297010445331994432,1347892960870076016,62676187058453688,417822946321551360,2126343186549365560,93295797697697850,808901476353468144,358629119903068616,129603919506050688,928574573419441452,2421879569336717050,685435500009744840,604103299369789032,700981102134436216,536099487762611232,867767374975369176,408173169225699448,4535626199364543672,306957327694367544,4604158288159640640,1532878204765700448,2027979738381841728,205991467040303270,3707684045493131880,2384617670124291072,1405092231878102658,4224437046810289680,1176304641796413312,447622538531686252,1284776607723873240,719008892583008082,2713099279212202920,2644881396205470048,761505110846191530,137651367043031754,2752906805945608320,2606490722131527240,571742550476651970,1222228676805907440,2349431213661453096,2491944787121540912,1188214924005355860,1430674772164963272,3056387187227660352,556133264888185080,1972828853917608918,981471540157509822,6243930049554000672,1660430237502335880,2489987574736643274,3311058459654107784,1611560480815049184,3517639097641122072,103629017013483876,1554367212385766460,1004334807603375320,2091665564395456896,1329283786257816576,8532772507498540,68259192165118080,853202555434404000,140168754315070668,1401626192148361080,3662590722284620140,1015498661538214144,49660086809018202,2979474798948227640,6541157481557163520,4260858083444212056,465013355990348988,502545325797882490,291536811198246528,1457620261273520640,2135044043623047210,3372936280330741236,671792260550980440,334221273295396256,31468729975039890,566412351436734660,1258639032642087200,489121673454877608,2982456144231095400,5764377285925212668,3093671130009841344,1092477235961850576,2198481363164378538,6278859821533445568,2719434275438838804,5124967764688756224,1442868352357777752,5256142419272213448,311180439924480448,388958530480143960,2874225523661609280,4659372274410072456,2465205952334475168,1787314174187515992,1263766476163978608,3004710947287243656,278118701624116320,3337278405532998960,1775316785796974844,953998555095145968,2184995936876810904,1971152318907981504,4802924701233194652,3305893936387759212,3785401048573941216,2194429861682932920,496708978791070980,4964300414956393488,1643120540101904424,6109259816688385856,1109885055285637836,969822064182731760,1135474459898996352,1065403839653345772,240099142130715972,4472477945012717928,8998754782821048,359934446926010880,1349695137783522600,721655101109251980,2681054173739789424,1488780881852432724,4124846832519637950,2406926515318063866,2304156731897252848,7163023392149727456,512519859530623614,322320519675635648,7058393399532258432,3177970580812474656,4644599396608494092,70362542000614752,175898662107023520,104739092799180256,220295991821642478,4939538869439012952,3157654340161088736,1504416442781173320,3695915260441805058,1592190935262048440,3518730799019679660,1691143516808910912,657122885772224130,447928955955505992,2344687054615261824,3155435368764644644,2246948807580013860,3507476133083593248,1257193264202134300,173780616468832320,2432822253733904340,678280851390258496,85662320254200096,2998050121660639920,453332187579877470,3423756003355857870,1423088677445445648,5034926530182384976,4080891546756904488,279428808938173596,931388642255826560,526373129283871980,614556144149648448,2973215860769294470,1315336247907209568,1636339158644731488,5238123766439252598,99994072605722532,1999794028078774080,222799357663594440,2227896183044320200,981109052392785390,3172768362638132368,2504068150142743560,488642006248166232,3257470981350731040,1902760824011689344,5662940102251891740,1027326439556920052,735465480608522112,375616777578611376,454598010256462464,2489040228567279312,4008364543828026954,981983448583746600,3987568795157508660,2741248019079602670,2657232618405954920,2545476085816258056,2015904220608943872,238345265380554464,2383348490196442560,1650851770412428992,1659260700341275104,1743995233318773204,1727968270666307688,3648507930421685892,5282359117834835232,493007363948600568,1631048714562568232,5451447866392986192,1097309035017748332,718319794700619672,879627316803883776,3667170637425937632,1383996386564023320,3926951761496489040,7077641399075102130,2221497354690951760,1284360681393573840,5164902527126699574,5487645920642730796,1684181381216487024,89279383274693760,274371255843720232,4115389026645798840,531924121112172096,562027281055550916,2027757949481065824,3025009860365937780,846400356044391204,2096887621647583728,597492031367718828,1375508294617118544,286824848238081024,3051477786714233820,3029207697661134618,212589131815480068,3542997418944771600,4470376365117628416,202809056683463712,1267501234692925800,128698430181777744,2573856169870347360,4021582401252817956,460377815028660528,1965143802535761816,805093610373467352,4486293735957977174,2583496949280686904,3479375477433770640,1864615179619322840,3928043743387141104,2238385196861188290,159643018271747196,354746768642087040,638174405391807060,2719909584181480164,418290352593261720,477443667721384980,4774228166948580900,712139146423813944,728103260711428008,1397282371176431808,2021603721485800320,3761407913301721080,474498929258981376,2908640381433187872,2071941009008500152,1303277550485655936,1613036173196618808,3975495049614108384,230243448924245460,3223267533494338680,3448525737400075080,6516875675252280160,4470652047218022324,252271562302723830,3531647663939629640,1006950713906742192,593273265146795148,499898567342164078,198918875366474112,1989101905381736640,108019264856466208,3240436464982825920,468891867072526536,1158453785880462720,77970662104563852,389836290700940460,611033623267583296,2504545371815630724,1745362014550777656,3993869217471035886,1316829332553142320,21951859182659904,493895270513603160,4389988538841532800,3349375212185002368,3919479439395517968,5475139993776624066,3001109395425755418,1622835238119748020,160424474310372096,2348661082740753474,2623571780318774076,532697578042965840,1198987046780860152,355935900947506456,2198158153967272896,284359865538071772,380364152288075448,1038943317314032392,2418291687574249452,448171176735951328,4791769104120908544,486892877611866924,4756286971710723168,2158899934539033648,1417539611942313984,1864062040976639130,3279634003040915394,3490639828731622800,512615010756604812,5858201611894344480,3032600141586452448,1180044225364250904,325727165797612128,795845847462412554,5171241379504159098,24631827580829184,30788440973047320,1539354877256129000,4942629472007991792,3055677870218140692,792530893149942000,724918939374200472,1032040486289011248,239557396425822288,5589428703489555120,1209127907943364932,1833823429201788492,4771667318987056416,1125431060021938680,611053256526377096,2229174201652388028,871986118751517888,2088001745096975840,150751503244730514,6189954797429272782,1601507425934374760,744060130368373248,128307050656438452,1283014535287494440,4069851861318348816,1589662164455613864,2527977568512365168,1167869428677210156,621654585518112696,866907040646746592,3700245498416603136,1111047421523189868,3838343498791225344,337519359786465720,443182388046959304,984806795558252960,47029125636388680,376216595546069760,486012062265218712,3564138881169495882,6158497862355170544,874063755873640464,3197985239219160474,1897026955314640920,5187557989457930720,3764662585430061240,321182167026639348,2361494273005042782,1007082446001309024,617823954323657040,2919175562429336518,541818965174250330,1547986679795437200,2987513041944760576,921047545905905544,4104675972232704240,1322954687421647616,3409140640917390768,2315858172357111804,709921754872524564,1936239942743831592,1245629044751569632,1319029322774979484,100037286171986328,3501152356467386880,745806946566971712,799539925180248462,972563131414287882,5515689188046069508,2590964471075452560,823711802062772232,1168508237188788712,2338954774525410360,4711707223546604640,1157714088435252502,36901762696522896,553502309892420960,629146684569536784,2309618851016821380,2125453915601674200,816819108971458048,7326578899259596656,783439389544799706,4297716950175550638,4817756265541057020,2405499300385340544,167137191473333504,294400121395767264,1103952334429709280,3698708347882204848,71350490411432190,2140421415816039300,2975997972591272032,86348264355689352,278668784890082268,3715421859153109920,1118859844983629760,3463475238732179520,3134290016580982912,2601612027962653728,5503683228216766236,1022605968899463648,212514596406178344,1475081183869237188,101146047556784928,1179985797431567280,209897768313492048,4722493984828198920,695951184235949616,1709912639902043136,4035489715070666464,145771449274922556,1923874199617815792,1396733101637274552,3624430020210313632,1796303193339917160,3685282399866234420,27342275609797440,683527106865454500,3305304231655168548,1836450129690343872,408957237465633852,74995821126615600,93740692096741500,121433238438260148,3187057483792870592,2880805206771319536,5400716982925382976,1569937794450249728,1222320655890691632,3210399554164439664,750088429596535444,319441816564961112,3126106088336549952,1898910817251447528,2677442499108831720,846317422284156240,431335553976878376,3080834035379119800,453600849290496126,4130904063410516700,1539148459923762840,1669581834555180168,4526984842588791336,415291495026893664,1783974100332284352,2303908541158080300,2896086743999019180,518157123260354136,339589954955337856,2910644268389538840,3879968819440908150,2125776961134237880,176854951064701260,138737944770029376,1717461728154574902,189441220754272068,631443235590379440,4277416135840434324,6111255284668826550,545505915368582784,283554107181013748,2741671254867577494,658310858256426252,333610316845262320,3335957897618025600,780464441707212240,6718093476369711966,944213760332489304,534482904863560428,2293990502267852120,2582299987527072450,1116009360975398016,347321898081630824,1515053329796803524,536022777149587428,950944813706235712,3421296436121772300,2971494605988465876,45594241395025392,3191457946180835520,1957912632063150720,101900709267728976,339654243409590240,1909968125049193968,6676536661924048308,188914586642998668,915842127792118338,989254280046581816,192893372854604064,4500649440140567280,734330487189168042,106520076177166080,426061757711201040,2516587177089439580,457415540691229692,5690188830853880928,2422726769232677248,2543796143163709182,3426724353182690268,4989223863475193664,3320659004439569880,542800483337195808,2719057174665382490,2796528676895015040,5715634619169885312,640035947569527608,2127470330965929534,3525773310734284224,1670438713327743924,1841569543299969024,3380832271281426660,1035488379196833088,901665521110710144,4139813638884835548,397739835465924292,3632710410365339520,764021190799423392,2611830379096464656,71935305213709260,575457400124648640,626086902202748456,4587088699334544624,419835046407017814,466463087364672960,4821319531024049760,2040998738775494652,1371500488216024524,5692612527674032224,3088831432853989920,3445140298347801886,194286328771369824,2428473448848427200,2389158538945173420,1310408709383321004,278823536317567260,3345736873302485280,5635312716995482752,1646065307073176712,615498069475879348,3303682485531792336,1320809218484106600,768200557359541124,1142659826921461512,421481216858303004,938391339406779840,3761533928933464530,1967054590608981714,2812204291227686080,5285944191021207336,2230150413719753514,43534379421244058,2176624292879562600,2666168385537117960,1056590706379420428,1244895757483774032,559098321086528640,1085107440605067396,394435264651340598,699573292768717092,506495285199055952,1585953502223363328,360263413855559988,358434055046168672,2041694067552985152,1112399455965355152,3112671696002717384,3384589483674819882,4684469771946945960,1019833499186644944,468723468204932688,722057933683821372,734717405350482752,50930395689796572,1527845432223219660,1145350981811588020,2677989455619609888,421089004958275584,3875115638803745248,3957250380777411750,3102264191034058680,3721371715411474124,453967782967941744,975902590507527540,17677193912739168,1060585521859088640,147165390610191612,5952825011522709486,531699377047055616,3114577035050609448,330380471494592304,508519174114462272,5084970673703796480,2058785015506668048,1148913287695386972,1180023325535938752,923696652712189728,3447578309861502240,3333089269611629952,1057216700190113370,1094780902131387252,1231269174698822352,446945323717120240,3910601595347993700,4373594115689919168,29030318459971884,258036059262537120,2902779494582027400,1593786642521105608,684072344540714592,1462334169106736208,3765563487844919136,549410891372601120,3949524127267166196,6293154605015063104,3500917273275787116,1364787697145242656,438461074935785440,339050346059577990,3390356119182405900,925165028988750336,2627375695896728592,290061170064537876,789651800479609690,4622231591811771768,2967534657467529072,975936374014965850,668545454235041856,107692176904183392,804562961358473724,2302231118097252618,924506001170345286,4096668483335385312,2423991775510039392,2141377756942287312,1507057966094056452,86329954892011248,329134607177334264,2742669230023435900,1270167914852125416,2077371803025114444,3665163702799289344,540102175191348390,2758068425748572640,3334672235120486640,204051912202612752,848499967898241384,1010199120384110250,2021351955721602480,10414360235584800,26034769617333500,1301681935507575000,718447303104509568,180351116169819456,1314697160297245452,262508454306678588,605257885552671564,2412181362021205248,7105060122647564088,1250923790488103644,4809235838137266624,2150018507972919672,1412373012724360304,601608344652473664,3513210222104890344,609392328717117384,2498654690493003792,764857257022926900,3739106500951992704,637263341836477620,4329711285742622988,6065328968568230944,1266912908140510704,2237145915125378592,192856400460594722,1571670855063548640,2888364888126166752,5352025262835192424,765414347708655924,3595044441605391432,2059174391093101128,817428440794560576,3868441585101548532,2112945130359889200,1766349047910339072,3566370587299154208,1781276237634224772,4938362659587321018,2588503131018565632,18316219126820224,549462717696857760,218437781214205212,5141951208884994192,475534052774774532,3396524346195648300,1025321284215623736,1153435522072600224,1238816385275262912,2034312132412073862,1985316863165461944,251783485880640768,165396783152987980,661558414356825480,749505979300748688,106763004755203632,533791852823969280,2257926957507655962,726729155958504816,819635473006851264,874469081415490032,574382569049709488,925990732809425358,1115281314142639020,1856941245386217408,1099162772830835172,3307693810261527720,679992532831608832,443509435230035640,651300027858896784,25670375463725514,171128409581656080,50141918178640656,3008384532719468040,725592348632440752,812743482721667904,3790117334913115032,1661557531099093650,706764947747550984,4472065248540619056,825871466955136608,2271460554546594840,2585781250696737750,1363465698762041856,565024859849469456,1913218837434418332,1908778254820013412,766342369151051148,418955434730691936,825136594299409050,324266613423026688,405315681258298880,29159479283860980,291582142251725700,3511280562975816498,751760425691727552,1890491569276393776,286815837822553138,4089324810796948998,1041794836565852160,763675936450588576,5403721221717994584,2983740046663031856,2559959288053946680,880871151335222304,4185424731248332752,405899877089077544,188093604664762200,752341784366581200,1089723266417736544,1870689284409392964,3639909438213329448,1313363478343176936,1787653827451094250,2514161875189498884,1126970765787278976,2162794566173079744,3500397784520213256,206743007515061118,4137261936855277824,577821039573028800,606766342488856792,5705058601166537808,4910855919880434384,3516119363390523744,1642567300621002882,2217798818643110544,1444056103566794916,4004642760007260120,3888369570925910010,2181804738040089448,1267701059411367168,714645372969826452,4316808907804009992,5375807526913536888,2700053047266302952,1934973715648489920,18053664590837736,722115273642557760,596876731142159568,766642961408487792,3104125817555273280,4694681174205043056,1483160503043236248,566754666206400216,5037600852802954720,4059332720348964588,2397396799810812576,640365980502096768,4231247615788583328,4251372227312872932,3550015909782546300,1356680128930701696,2534006797887187224,2047195740219968360,162741790114680720,11139846068657004,668361792579144360,934271322671098782,4947700197350299788,2594716675896014656,608680308225930408,2028846422385609840,344205307990190592,1164407458514867760,3621361611281457780,159143268642538782,1591363715208268680,4683316008981471456,547014637505351728,1644068110973505570,559612975646369232,1598824926458274080,5434054579337741742,3272560703108986212,3856752196692711648,51735337693045248,387998218874946240,983004699574344428,313214855877321984,2180742823804369212,17948239430191602,358949234719915560,1148866688612417328,2804163178464497664,2133072934638883182,3490030292531727060,568106980888071328,141743909738230776,4252133058344777160,4054581234291311664,693605023986486144,2101949455894424832,1788629924100189776,1899791406609975648,2172339148616185248,122084874562886224,2441591715568669920,5837704214817269718,155476599775391248,1554698647320516480,2822112556919058030,37430387131259182,374287657654204080,4313992023044557056,1761799260824968644,1067323772936235672,2393162670940797492,1283858096724336760,827630914348477470,269368159926651480,2154851944719198720,2916815764477828680,1376995833236638548,5550836448376124928,1603098010745639712,4866545942632184256,1813637415274249188,2212650259956963090,2540266595614184400,2088328520492590860,6477396576167737152,7153718897045012112,746364001621469476,1832322366721068264,434150311567436028,3993151901439341816,622636304324527872,237647885373893844,1552753054963042592,5073691133317242618,37677459894724188,1507033140288977280,3975825468975775632,161438059375037892,51544125137952216,220893829157022120,1472561769453865200,661191448017235464,375201765099650832,3215875896047295360,4496449090173521312,164298409563517614,1877614820309341440,747956276830055176,852682707037223046,887838674476436004,3536949716281374880,2545717738560865920,738428322322823670,254012469126249976,3175018421570067600,6042699926826205536,1802639119227207030,1634339750905069008,360695664022778640,923714962628462136,909099949181261064,5397276604663991424,2127676188831450624,2451864060913662864,2762482073182776504,1345437477002440316,2690493186506316096,167816925558154752,564121351666839092,28533619673695896,570647696611678080,713278751473008400,3717767334769103520,2231846039971358658,756737638109356068,84542430003592272,2958857006000598780,703623637392278370,6736445562938883264,2394011924623224288,597367675521344658,3082282801147310544,5276849161768508736,1679128619439188992,1004835583213921656,1409767487808588936,6025974340992074624,349264692008789172,900732009014055396,608224859447800782,2976169009333250232,1550797574540394816,1017473331171403488,473896309685518878,749479013876352960,2826668058852366036,747246067361118522,584733946204051164,3712729797784176708,517570751360911104,3506320246794812964,3526429425131418880,1343831671224091008,2031034682777050944,194868408855329256,2829178430858541216,2772424462445791488,2481764724362508768,2191672654129491804,926553264058414872,1938140876215818960,410178292392452760,138517636059447948,461705484140896360,1428191664765524496,3817991547474915840,923561089955749772,5058347887530654480,2973862179337171104,261392309558628076,222932913694227858,1270767127656062256,775330023610376476,2906320025772239160,2111762462731059222,4516366670907416592,1780908271333051680,2248746968901897072,3366095935223047872,266997662726871984,2002395885874711920,754309814521697280,2136026366316711234,2990762664176753136,2466342290573638848,1386935357666857416,1126228121146992744,450265018030327728,3376841636277110160,268470306636024840,4832256601322571780,2957637711312308220,2732884710653505408,1387744096988634192,720541915060577148,362027155300936866,2413410036443586960,84060151870025280,2521695545912399400,445684437816106140,4455317080729332384,4759334490816791208,5384165926708840194,3702496155113377314,4628891165400241776,1105398353535390288,3009741036670166976,1693348886048865276,192076912979480064,320114352370208520,130738875284434368,1120570499346466560,2488591989274332024,3028368041001677952,4828146894070716128,1401155302767531246,6240932726156310600,2285355263327619296,1167936305226209328,1329169259393508348,283652730458992408,1803171725166464928,2659433302199923650,3834778513591974536,707413181192152224,2139882482698030224,772376253449327392,3979140757442520054,119497091977849356,1999950975415904320,176787742378452030,757629017728620300,281685526037649648,2454300233294470512,572183810724478218,951177438199613772,6324308224603255392,753154319644181592,1898186804456409610,5560800384118753404,2466161571659545728,2414072294319143792,2367703818498382530,2288882758330004850,3836420753017857568,145200027114098880,290387510118237840,3124896916281661884,3538203144120002304,3610801007101838880,3253590406918370580,1972118393719971912,440653827621654528,5534669634476093424,1181740030133730036,2101126322799391572,325716146327984736,405740721033797760,140100193151853264,1576059104003464260,490111678054336536,183892051665315072,919420550962843920,5024735774371567920,1449102533097177936,611728203149854344,1355060128217190804,2684341278794948544,2171008555628207424,887928189766339392,4246528555332324630,4504319439052479420,2194732308231764352,3388351349599401864,719819146638920196,44892899447172462,577169500323215160,3847630537585756800,332263804978813920,664498919399766720,299262324755565248,4904454289795459296,2314090440385305384,1867483534820792208,2244502724484626064,2409915082706644968,270688956151797636,2623613702985632592,754258056155746464,284593121458507084,1401886263790604934,2126206139888657970,2234682767644628472,2198043331134545664,3047296287229006968,3387390703861972038,83126703486842784,115899101248073004,772627325523966760,692851075861523856,588247740054830688,1004983376327127624,360183281240959704,1944476083616887044,2302873403380174592,1263981369469957272,4697676841891145472,2795274047180071848,4184876518294930920,5095930676137702656,162050390637885640,324086795273664720,144774749439946944,723842510654185120,109961347466970066,2460667025167048368,699855638798301012,3314699965106710320,294072828485315784,565063507842555602,753960802613470704,1141051018719408336,3818192422712121552,89114951491546752,668333299953813120,2577598225127150848,997765193639553768,1585037361329033190,15135172986871488,227017800537910560,1891733390386542000,1235118295962770512,2542045353343505904,191173281011901312,238956292731134120,46683616187869254,933632048274577920,4588530062284448808,526445860579113582,3103520304375355824,1702149373963953184,2697444170295398640,1247697918390950268,3505173964402383830,3410531275554242160,3451713818681305296,1296833755470022308,2166076843397646048,3014202552730918956,1299774650303618832,1100661417147670608,3413465484796438938,4407883871506024224,5333351167671043692,1005764870632491372,1139616020969326304,3817341855204058656,28177182674834688,1972317733426135760,2676195678717695772,4063198493172415680,3026725463622344976,805475022155354208,3463292999886722208,2641640538460711900,612503893060959024,5337707177475651402,2793505966515716242,119039522316501600,3174250399511208000,102670163705421180,171109562110157700,785676050302579056,2596998845272365840,907909899972730848,4127725419487809930,1835922683070004440,2048866039384826208,1531770961972735632,2010192457709515728,3440058299755850592,1989589260985194528,1256396139950039936,6946783582787851986,1834955146583077968,1178172855290743064,1454726069157034152,1435648473765574596,193317760875385952,2416367858417635200,575859233239149816,1532996096308169526,373624143003242208,2736222319121775768,5523558055345815390,612236896768780842,4182905169446863356,1353036423962219928,5077457927886136050,822806414636553186,1931510418978994880,3533251974506309880,6032508040924708032,3515705515697575376,449697558292566180,1104413639127132960,7096898079117016056,785479431541785102,755138672749952712,3164350386730968372,4612644326067971760,1712056755414799206,716928678286021476,31639991926551072,474579431176391640,11782467884063030,70691761576386720,706887160276928400,1558485117809185672,5569092112102165008,1307645728084321776,923905238117214208,1465977701399608632,2113578417333770838,6946023537025922592,2493407981203950096,6442565701823896482,258358645462996568,5812819127298764280,1228897360984248576,3739948939943991430,3485605229790858594,5765891527217404416,807650799671338084,2926457431846332912,506330047264087284,3023187476269334616,1868758188166551168,1001440115997500952,280422993379735724,3086509812193474296,3765179795934301920,5375855120106388330,4135884338882607234,2370100597256227608,36640705658323800,1099173834767488500,867525396034564476,1200494671200057360,321854122485272100,2574722108733697200,1101610897768320576,5306714001016378092,3080769739587356928,1403579580625553832,5758830076785511104,681437869457857776,1045592767089949284,2020169285327002392,1529325814407094032,4273923563135663864,3577448022861302928,1359878883529656258,3588007252738328700,2828191405330142208,2337164806514615100,6377478944199924294,17929244976843288,44821182933577320,1344577606169476800,4385477506380480240,1523113630449188448,1070927901913693744,4443328798017048576,218986079949983808,1094883271369124160,5285996574800360328,1891383136471316448,48110889936809040,96217638527492640,351527953512201312,369779629765247136,2209695630629253408,2419153505471409444,905137409102759460,438926307463658112,1244402329771201056,3594024849527459930,451350638139399648,2738092518245237472,1391688879272092420,3827353641278662638,2258250098228146260,739872228010480848,253032614641430778,1445838440128977840,471121638105974016,3910170317121972300,4488870895992800532,3276598934370419888,1503899646019948980,99606326006631168,631180542833246274,532658442245870376,612999499697475984,1262105584855062904,157936870839415752,2368951145484671160,1654694042437439784,3613803887935316088,353528734302356040,886149472835390346,1195675135031261088,844391533530612672,1774013647975399500,1201998579870504036,2568286357570490940,851262331215814656,1653484619386891350,166616745991867476,576349207068954912,526666989708547452,556735750027719768,1143483979482743504,1511807219553340116,1320162730654740864,1287999297991788608,161459597939447664,403631635702844160,562839041962841100,2045690565631491636,541495284996364392,3181668404163932196,3570435085285794528,132744253477483890,3539694543687605600,2510169268963548600,313452178190990208,3905764737744927070,1503589970230569372,3209720663392919508,3317836068537959400,2167051316935170744,3797007851920144896,367215044809811616,3263993394651262080,1113758905248872190,182400024898278208,1823921832414017280,6405510317809738752,547802894416890366,5477793446847715740,4190200872116362152,2990426574760525176,1122393518613971136,2726090606000948868,3121331350467060700,3023993313547355424,4048190227005281616,357799374602510584,3102125339894249088,4105892639273987040,861061224906768416,1936386604168007850,2215399384621316088,2329842538358205808,194332540879941156,2634616496983188732,2519898284122864128,32541259859130912,1952391681876185280,1085838852448769544,423170043991763508,630716559477434640,144575647049280692,1239166579465927440,1995706787113913472,1742807547793551888,2776815283432449870,577447398162261264,5774225858412333760,1024839036673304256,426399740340112008,1276751652288691996,241177016312067744,1692019890834024144,947684000329050330,27766820819937972,2221250229245688960,1713448711113761888,370137007923189210,2853524850537241980,685962639636555648,5770602718988256768,851062764755216130,1233614826679033368,1176331651968805368,1617727406450625984,793132381030251900,1618418747759403942,4903874114481250272,2240731155687611136,2142359529547595610,746838123379815420,3026359261412216680,2886832844156453160,895682646281529234,3196070776075013670,270850487425380288,5149553766411835116,990257360156503208,259347377282246724,4632842834735269572,2280291371817386240,1302236545836915420,1281709662779059740,1525646662740199944,5543060725837541664,2059967592378233658,3676661249740933992,3935637226013492232,2143146948144339984,5734012151621353232,1065943398447711696,3855977882330662368,113735489155181556,379102019272509780,665187857433639792,2403133472974482624,786392216392417920,1209787919625551436,1360980680293471104,3150795975922155000,154777335218047512,3611316112818269240,2831443546532130216,225238379528311128,643510601189421760,559326468869029872,1360402569437422806,2922048510261980864,552553677257043912,3359253925723332432,588966017757183660,602161746494737932,2778312095919819360,454618533976681790,513805083891671592,1511232949214462664,1765742187865363120,2043739090340200920,1473912286355695440,281152804103665296,2818620928350795024,86558875879276944,1154068815599057280,1986236573729740992,1508841452428826976,650428672018473392,783748011403055376,1357236860803648740,2614666601563782864,4912803167901038496,679264491401529066,1101868922619437344,48100934855802972,1923954838656929520,129219011272416868,4096729508193213984,1762528360864502016,2531245567622649950,2678308038735558768,6357165310913796288,310299619773103044,886532306848659720,3733975920619251510,1310735427566014208,1261829026479968256,142406692132175328,1424005831610914240,2647763244313527744,2058826692461933520,1877581097683926592,66005470433885232,495019793748499920,273136820391487536,1178780871039519366,1060584827012746596,1879349027369295744,235995847535264256,1179928628273560320,3671234306295627732,5973982289896840524,1211443106266569312,710503428625913950,2567221471469653224,1479370945734926976,2618882421791992344,2290494542367820536,1091769882029632872,2746710171319830716,87008826870837720,870050958151635900,563425625073413994,1639218602598381072,1054651639417979328,900590201019879066,3993716909530113084,2983812160937946408,2952330962398808320,1727091854465447772,306482875115193018,2186937015534655992,1413114506152082460,4415307967791202338,939406129358350464,78580917290736072,523850323304410560,4249577068741885744,5775377730223826736,1332554288643680256,1041067536796898184,3214080716721077808,2749349204726388912,2073571463903351940,4805476371335749536,1279653677198979984,173415804967780224,1068035020264758816,1343825304309831888,3418341748724319660,4290154740656867544,1366381760245027992,3651829338706178784,3847495183585998588,1328409401236826076,1368407837010261632,1239669825753116928,3829625474615751270,5938854359975478774,2263998650045945328,3976482551122077696,1219826718645569232,712880670558040920,1362684486723899328,5012692287924531224,327462579454016532,659451185462357568,422156704280371812,938085813715310880,105574468057965744,263924861685790040,2766763032621182496,2969727651804559536,3006137097723251282,1225804034188541610,1402160397097247340,897710288917138432,1809486889942019850,4738575924133085424,2420782897613025560,1617491802174232896,1216618314358082580,512567714420942470,2234266585863127596,1215943180114137024,4458544479176716764,2199652548684709410,4124670042428062080,1486730510672360592,2661442396419308364,5644900898261759718,533297733134449896,2370110633042588160,1957895153057001192,2121171909481775304,137176299386367960,2469067643627327160,1242507092622671082,519618449669722380,2421526458568205412,361646974104772712,3068104974336347832,1368128077725014244,679358976499943360,2920842411062565240,408678239937513678,1649866009416486000,510161003877862656,1336024083171231072,1146694387222723180,2111430922151369826,688474640147548344,2032343352957932952,2837248480779426360,1705134818031373554,867800770931736736,2471695220767823424,3811792616264187270,4495211260071569422,1081557417982801440,1835407949162427864,4821099213860759522,2730570547028699376,4976420858763927936,65775288449318912,822155912036481600,186840436596323832,635139099110655392,185456586283428240,2967178375015493760,2430811070920371104,3900328858111905576,2687200793475249456,1320231803727070084,2798007264632153196,1092800711774864160,439092247286736228,515506403364402270,4038149141152686912,397594630437601096,303136478959002480,706496155178225814,120987901092978616,1512284048515551600,4199989093641236808,186614435946468082,1866064509196455540,2732402020081779552,2533062487484197248,540813144740618112,4055925041730480960,3940539091445835648,1450837228926032892,2617527857365567440,4703515674994484448,916001333412037896,1415463641817508800,430286296488119208,1807921192829412204,4140743361742432368,4240065150380874672,98221587988850442,623870497035728514,1593334622252409984,3329917190441927280,1866432166798200288,128240413323420408,1282349280828257280,1178241358779667056,3311406599596936834,693325321101675072,648903800857138596,1224638727807581824,756880096273328874,4832796278836167312,1248460837965432816,52008738178143624,520065139956077640,2233218777022205296,836140534945525260,124967130826157568,2856178426439016468,1068871591369768032,1242187030869810192,1365009475141979700,2866743220530020454,456117177826148460,3668545065203291680,376566896037312576,3361068820006802820,1071052725833191984,1430980273261645536,1173457269189566712,3274367143486595904,680978122005297150,6512216785061079312,1943604715059254744,3200975332113752298,3537480997297746450,824057998198645728,3637938907002124116,1064081955716382420,2048457362019017184,5841958211944787904,346685444509289424,1126581609335628108,3320322958908552960,3668259733944970752,6494852828353168260,2097846986985581232,304307784678407682,6526421839441903716,2683778973445315368,1328515005068353884,3236175314710360596,2281762047057459120,1960994260058334876,357180097463457884,2893117933052038656,1501297451844691008,995827903556063424,1381311200486526912,3030479903257530864,4382501073550197752,664866566060445504,235652771027160936,4712854039663543840,1459008566724916548,1385645357245938624,765305162099300972,3524992859155470630,306765836058943296,250605498203690548,1332352320332784534,1438415388373251168,1525998448359290928,3646511844896027904,4894759981227360090,140591022648583038,2343083613857725200,224512182192283296,3367538876185549680,1901769004968240654,4559236037689169664,2684210700088698408,6011134302012663438,2028864402027358896,3991405620954694752,4622597972879309280,2650185590053806294,4203459011568159816,511756451889939936,5117345956051752960,453434781810483664,3623599952189054460,1226319537658387104,2256989622333736572,2333038798562502168,3915181429524349002,3959570678285560800,970098463302160032,1197850053914243136,4358000998457277828,1625424665868739680,1338506669710763712,131429130298717468,4891065430710129282,39031178886857436,390295124099086880,246804332250621150,1480762770377804100,2495612175599109504,148151490391183488,2962903309613134080,5592510308624324616,99472480808694144,3481388201971034880,2805359826567013024,3824958190734578304,2387958829334874720,512587699402408080,1533373548971165154,4405356722312987832,1093144914599282336,1266514337180417184,1853708226541857450,1253511214235994424,213092624637390528,1476788676106148820,3860220911772167868,1093893873683264208,1274202019088219412,2385098945742472080,502068982935083880,1455768432942306318,1400249994426507264,121296376255609620,2183241601876839660,582632275984880510,1186548991128165708,106666265043566160,2672858916401382522,660916603967900094,452346966600914352,4729236197185073420,2998758701262826260,3054905446153498830,3617498012957141780,2790545257186267464,114964833776363820,919679431820982240,1520982973568920512,681145295178641772,3943508762520613272,1674343357371302112,1359254638330274160,642859899781634304,1101855502009122816,3649114928990931444,2094914408478748056,246669684942333744,3083239540935017100,14667325159033384,586667981954378880,3488647001506694280,114779157406201332,1721613929442420060,1785054956156530080,3959762525544152768,2360454422055888732,2080462162871624112,5994149481851773716,4598608037217876576,1493547136767874692,1467909061215588784,595546665984985536,3454922942081236296,3030372322753127888,4998893375671718292,1803960518801624352,2872589722497830272,1331405756659353510,2504837587362891858,4041326600008612608,2210539394218241880,4639532592446118480,3798625869787980474,2659259796846506700,3632073151658431680,351307884999796494,3967425597313340244,5112867843354992040,1829990627683927896,3730355045676792210,2746683111500588670,472383427773416272,826157293650071856,2333009038419422160,5515601577828368598,5278456333599914304,1262084859796187592,1519449440902736796,152938734870670476,3808608249560782620,2835126673601851456,1437590787963714768,1047628621472673984,2215856635859332088,191253517435430352,1321758104629384422,353402307639466408,3251619744719656464,370226363113816272,2468070575198025840,1662431606252409780,937954233062316384,259557474623232864,392048176607892072,1064843475763930470,595441612371819072,2924250607464637440,3354179529472614402,948026875239358640,362079820272054288,552988347999531744,1130355228619386546,486163708764240096,130267339709717484,2171029834030261200,2032487814478334520,3845566185698606592,1653133029293233664,2132092546717581984,5111994219259136748,403252576123419314,798324090284549520,2313406649311332480,27680471328910948,2214343384104390720,2811236054985850608,173691483284088608,204123431753259876,1779733327923808026,486975196044084904,271979776299637296,1780838405698775742,4007545448193432642,3255127225883962704,3312797454235511856,475231291757495946,415254404847028224,4152367217145569280,4753914461244952064,2901849462546854490,1325729890765576386,4125812606229052200,4261454343082324128,2926283399026669632,3385280617031123728,1610252454550333680,1180591629642706320,1308469076470118688,4264075500422511600,6624188014337012736,1408257236796865092,804284199352599552,719307413927485614,606342860326137864,1470301681301643744,308123686967566956,38907704166595232,291795359613497280,1865357949983535252,2167605096056358752,494428366653210096,3708054911062172880,116176918016851648,1161719731714454880,2713709327950257948,1394114788189914400,168984337103755272,478986326523676548,299290117611420342,2992773803485716360,1857343041591840768,3226148591999563458,2099557740752921328,1319029873764160416,1905017481953018048,694302232843415664,1030791572256791340,2128148390792795104,4391789170151528928,2624162485049334756,1650780932225040510,600703543618357632,737128481169487428,490165623569359782,2201074041802107528,86382119566592784,794784571310982272,1603242174655961406,5330541041021226912,2942741395626241504,1911135369923387376,1727932256075410056,1956802565970583780,739158757187076000,319465780218552528,344867301621003360,6207347379116790720,20050600421657232,1002487378585236600,476861990727338268,1476236785634943648,2855879913372805512,352199690800229376,1230195800474024274,2249774805025483280,520642512778617768,1246971653432352768,622812314108071120,2891101826704665708,1889319142883599872,635213763380382552,1411526114046831240,370014785240300604,645754586600806912,174529585974266256,1964101978118221668,1965958712940799764,890968200969685728,637668284160407280,1347490459408674060,1619484376507715592,1624296369948711480,122096831226528976,1220916403260647760,5337887895277556514,5296931324215976788,3492447886110724680,1049915994031478178,1613806254724265832,1314872783341428960,1996040663505855936,2746935726104894160,459122709576408498,9047953867280832,316664924728104960,452359235616523200,2128009405556648610,684121446791693256,3774060686312009280,5466891163106773008,4391154847600970328,4089822054905433204,730962494378228760,3568335959137346576,3884780252872459980,748381251086695296,4150757198924449536,111057930060393204,3886862375812486140,431369663877867176,2528154698406448128,1772042838116132736,2071113015568030068,344482561211342016,3444679243753385280,2968085213176985580,1120831590267240192,3437087200427471760,134849090115112248,149825956687357260,5889286134749947248,2516349803993039280,1842653587545346752,243670573979603316,2784688257994768320,866438530166194848,1568411864306915040,1970898118362411984,3801373109974695552,1086308571707531424,574028775420786544,5264860829405320638,3108416141829660156,5497081903907824032,74763081804634560,448559438751750240,6602555005635720726,4342455952608883968,1024119266058854592,1931497976168501314,2375007499439999490,181678999179998784,2352528613575593728,1313325472533844788,4286508535280158308,1561813048135686528,3868157378848011192,3935691086852202000,1410513507452066432,1926982349003782464,2006900324224084608,2028792975634465218,5124828555251283312,3305134425923369424,1090647776501335808,144782434875841488,2895525763311320640,4607191844741086336,866201858728182912,3688686509111825550,2114633914569376008,606286229561629848,999027973392312672,2586351601326639528,2536700545017469050,4077631628646809088,2134140416739745216,46057839289381224,1036257398321456340,390897065962502624,960392373203415060,2760036508592322966,226437035555169828,503172056444771040,1174420346876978160,611715322353526182,679654846917167820,5717726964909772032,1527042765986065060,120977246209315644,1075307667095805120,4088094873855031788,3117993172754012496,4455064832727272736,284370335105062512,563777698550755248,1272874006817053872,855407726860555752,3328903921575841290,2316308411174040288,944217527753300544,324875926010840688,314676159565737348,289198931036999688,3677592016337554872,469429451007838452,4694095370493379080,4607057436777895176,3535725102375055968,1481757060410142252,2293628432896730376,25455238454900160,254541587297590200,801729519657611922,1577401084757067048,293765930282392520,4257054361286030304,1570529161054581372,3058703220297510126,723536449770935712,4648086671357978112,2977084887149739348,1628828222760155232,1106933057156027280,4411917808215842808,1392446942288345664,2671345715814418896,1315066319710298720,2016307090621555296,1950060183971210256,2576782896179553568,928700775626083680,3058525754994921984,2906986699276528256,1197726914063111472,5422824693815518656,4965284901664854984,1860048256703785974,762896418461126388,152107301580593380,434573866479007200,2623478130999501072,1964175056233918176,2879137888103591424,2261360916820341504,2069315513445281892,415540585101304836,2911399264185811680,1212359080210317504,6033293479450527504,5742530190174085392,2482667453985726392,3598814431894329144,4147756705324394316,1856590299982749474,621704384824962840,1456152903049945032,2753994616811712432,84702650687292456,1411651020433180800,1099305015384338536,1341297129945926286,2402996512233792816,1296538041595933800,645375465741376128,784038439168835136,922410129907890330,1120108765889754096,2377611579865856928,2796902097389546728,871293852269240670,2047802126340796992,20055802463789288,28649932560076740,1432435940948121000,5333986111007613312,625092171537725628,769103453727526416,3673314733013416764,885361668085530900,2717905427652411072,4422726995853698472,2226656680022516568,1600017871043423376,790728322116666824,168268916716472910,1348799450552129664,1375792500603783488,205778067535573776,2175471671924959632,841701691939397772,3875568297821321184,1213421460249730392,2345795604115264170,672143107628019204,2335838635326062328,930051655446171648,293661050918656608,6607093861807602480,1594720652371022808,117530072256154392,1567001277875905440,3565409597396059488,1348504582523363400,1381560108045569184,899160754665838806,1213285419946990170,1102218623986441248,495385680045486208,5572852964773596720,283752673908153696,4637466928977232868,1150528272136584768,3215728349321321022,171093479599086792,3421724745241503360,2872080583454648916,1936311810020732100,1624910298200015136,4153183325033164224,3278697204533919280,510012843740671752,3953435592390866316,2854063626306679168,1632781237634051688,1064374199427394674,27042283603483104,180274261258417920,291338120461265856,2102990505469364742,209270385913401714,5233310618688055872,4732111021090789404,5797226098444618944,2234878137860415930,2769462648976765680,249377341660396272,3931660641006366864,1529205590649914912,370319692917588480,3703040253138859200,291339671742067212,1726996500381502224,5834565140068974384,3972189177956659968,3188765419836428550,2692404989008377696,1725682112162983360,1293355624420128816,1072076265238011060,678845272571375778,6788165581825155720,5984100333488604096,6174195905775874698,597848415910085034,664247921837857440,1208084982623874784,13614185294961984,204204142684474560,1588187272666310400,28905704115902208,240870680717228100,4335488899926042600,1448649041729448240,1267266207216361464,2101435802018750596,738573171306447822,4765227481681994976,5404613565520323648,3603220770538351260,2086160545948649670,3606213716399207520,1412639447580618840,824564895151585626,647797192817413496,555489591341751360,2140804801117976544,3308754204184608312,1887069190524226128,483147245820380760,212249745367868636,4915709462452725504,1015702838858008656,2996821783729032864,1460726461010310432,3631058609279574858,1328262455797511968,5497064956328605056,155200202415839808,111255551482003170,222501698488885860,2870464637963491872,393264434010316192,987178079890070460,1243004221676120112,2510125749801324704,1235479767961550760,1262809089141612084,597731932513464016,1406552612688425016,2269482371334929016,784606906848768426,1421345804183480376,2160516647338487808,256774168924928456,4775480559238520934,201807349164512748,1345325484785443040,3156505995266322048,1979037018921790944,2574553432196831256,2102629769115865440,1476885651070275456,2430153189003387208,258779479287739860,1552611285284462640,3290030851348101520,1114353238891764528,1811833196827682556,25635806002278048,427245386149297200,508779884280363570,2118799026093921904,3514333999938689196,708169834480795200,2654833211867949224,616484613902259492,1300697361271652256,4156092326242363608,463584618415450818,121174527091611456,2827286232247778560,1108257059662716960,4622162916493152486,4974450625960531072,199770340466711808,986349969775300656,836799963835699976,3807275402920638330,2816961737375450520,1093008105711282816,952430330966195124,832538832995795760,644031542351740864,318224684645314344,2470143357436621008,559515832480149972,284410966058194968,2843989597659192480,457853741854143448,135357723856599912,676760050712053440,3014408757280434176,84961276231275090,849576900736559700,1538524745650958048,3779103724386820992,2646297935244508500,2610767015580268360,4632353683411902768,4466564465680675512,2952867386097840576,2741363901636838368,363336317067863568,627876027827564896,335101673484915360,4691225456549338560,3457805612500753920,308919271332083544,210906470908835640,2530770859939017120,2773294159371147720,1039344659242492032,3633574524739309062,2538470433907189890,2837246562044118840,1252745774376453084,421035917782326750,4101595147779537510,51987241146787344,3119102879529260160,2774068632264704976,712046246769667128,1671466574779767936,4268487782302804896,322833322053729288,338477269333766004,3384629922914912880,2320803042437262336,805944356302120350,801581544181092612,510696428893161520,2114245879206769308,92823539997639660,1113835503081849360,1066833662288908536,554682825418441536,589153716382823652,6253871793640073766,1767861111910891104,3710565586461910016,548165682361979376,5582037496679500482,603645451175144712,1535799344330284704,5570139703737374604,943774891912661160,1550105590266657984,125399182167074100,2520151446300399470,1622484332812848888,636540277551978672,91655963185097536,500216343231402954,671265253884202272,893271983288064160,2296750954260504384,5596652688902046486,221247331127262124,713194865071667688,1927995287305257120,324543085058175390,2325868124551030206,2597310558344854656,746288483445224928,478628583485145516,579710669500907208,1399751426488998616,254687467296679032,1793623023785375892,6673592578949672382,6046814032657732224,724943122026363144,3547402972101763614,2291167226249954496,968131249481216904,2768943032762808832,929872533463216464,310422199578843336,487111453891512912,4870909304089098480,678431288197007352,793095920508069824,3879892682179990848,356841771092886384,4012262727786969488,3432667046724658806,2056757588324831040,369956285059675820,6343422062992037244,2172963874510048158,658639759724084016,698271425245186176,4474190344389007428,2400928354674519020,1554580368525726480,691981741978497216,3238887819931555984,306630103870483470,291402581777375904,4370854639961173440,4950408531889737774,1838003183969168202,3047963801769059072,68930543133687540,2757105617098556400,1435374912775369554,98637374045396016,1429712790572958048,554834345593144568,3834262271874363516,2439300139892639712,2605802015739399840,531116586714091704,411897777212757822,3417055834039207740,287973967158390600,4031465809231482300,4198971634068868368,58363878684086592,145903554338472120,1422673400673415748,3076912025228121456,648634347211201560,1667343633369698720,1378002849121543536,909883567627222752,129069244633417696,2581276242565878720,3316833608010197184,508017630310444632,298012866821677692,6643162999242667656,5900783005880266698,4626576742940909856,4973387128131872448,1182377109637187312,4286496295752218604,1259807459617544346,927650648070725160,467457851949599808,448773833278299396,2564314000823004640,3044658752324880768,2459036519514470160,172271464426572148,915758868394919472,341890124299746708,488393914844458640,1612767591006815856,894364856707249170,4446050235282365472,3449037531599502660,890515397742661710,1438780338482751440,3826404837819943128,2833434737996991744,2205456343843145610,987733380821233752,459801815880824784,39785259681512632,1989179315854025400,2218029748227386010,676265649434435292,76331128470413160,1373902528826141820,238334872724381916,1361856283907581440,3778703349373750608,1870950402189229320,1604747443875573888,4109739258116781504,660748647738845728,639180389602393224,1695031309218060288,1523088326598748680,5411619200230014816,365062703831628672,2737855162404056640,704063757572724672,1208328290334390744,3580667408694523644,14062358612846112,17577209292008640,175764703651031200,266318654095326612,2557721272089482532,2139467144082821520,518841916125876864,551548384146635634,2078707233692317914,733139303780327112,1867241870066056356,782596656979706532,1862551062192784710,743689973770182504,4374264127489430256,2914362780538358610,4283587587889039122,630579059125782528,258200413008082776,462023567986169736,1639662841494969272,2242008269431526520,45452661873487680,795388159434465100,1956258056912954670,375322024623871440,773435182657052992,427907141941895550,2044358892279770418,554633776589439580,1093317864147377784,665238286264096332,2777402884274644768,482050671511567968,1585643078321860428,1090004673091558304,3928922860751440752,1330713704642413392,712869036808885440,1283669456820472998,2225496809630657640,1057335783545995128,3826755270020553192,1791568101602827674,978732473156787126,570108943450009584,3087906075265401720,1772422046273025056,2907988074826751568,2859887202846595680,2552202582418046780,5115526910860253184,2206950864262252560,5547231150619862880,474932983003539552,142565168805719094,3408115274042909890,843545829949451832,1383325729761586788,738208917050710520,5127584102805850686,2521996774492678128,1772381218657039760,2848065147764939520,489858699052841178,3926296225205468352,4508600708226181140,983171335586759304,2724516217303774296,158585500628393328,345538184543417376,493605257795854380,2375150853887895420,289474337790663696,1328802996976673784,2786925580271283696,553844013489809844,2156657057135015248,1507539050985139776,1591372487903872032,1572997205744361300,1567946900547085056,1631332700883753120,3869797468125977584,979158210322652514,1457345085166247160,5483762897742754432,1339232693734782288,1692272976908169168,1577385865389330112,1601321391733793100,235504456943005416,3532418642396512920,4124503919197118952,1321856207624695512,2819479920776683472,1570277132103435750,339327803028923712,845003385416133408,1881495476709880644,2314332817578454008,335790888450124432,1938162296023188480,1309186091613813360,1060295365297279496,267868888960731984,1488098076671566800,45910154253388712,327915919576801200,655804333597137600,3716940291047547264,513222946533748128,2036037285313297452,3820388225334313536,2669482149589323900,575345419509743784,2088615606307206234,1132631465065728144,1210705077318074016,1055106838217864268,860636408617642956,4153025171513627640,739264876772460548,1430833185135930348,3817789536539849328,642257195294178016,1220017908290739360,1717327945320313296,3978722667990937152,2092131698972040576,1791101620464559272,37036692730203544,1111054206345748560,3316867157288666808,4314603721943502336,1034281214735998764,3611665044718621440,550022574280158056,1550489664339324660,135318068255850876,3058861091936877490,934501705247490120,3477112704663258672,1099027403519961650,525110314272604848,1071606082677494784,5384574988162822692,160607894920193556,1070674432756682160,828212461807669940,522819703898794368,2345752283261988204,2300070537720358092,1028402351684681280,4356257014654934112,258891748840640186,1098733230318561822,5591962646318205888,967575890450883432,1572424800281417016,3187248161474317392,1401973996940488400,4654596132846218976,3801227485633570332,1641043117716315088,1198673823814151940,585378293207057280,5641825459900391856,3101148154472632272,1044091011026670480,259237760684245376,371100500357880534,9057068333300790,362267561035826400,496003443340945752,518233770909687528,987618322580195824,2234987400077453088,262697852949337548,2032220088954380810,3273456882590976870,6090335397435270168,637915127776433376,969389449085154438,542433237554555832,3445301232589302968,4338947081643129072,3433398602585280156,115414388228759490,2071319457101764620,2660771895764033520,1471171051098634580,3489492292330169730,642644529422136288,2035046477042006208,2598112015695844272,2312355484952460576,4029429069412541112,237828193429854336,4756364782555138080,263505665782542456,2634946372515562560,3546540404206471260,1752798919504511736,5479819161668328240,1172760259787797032,3331354556906516672,323231884411163604,550418788796976768,4809068475952494528,168914057079421116,1686147110198795328,3146780251978109140,1902929967747501840,772875808366772880,2555245356155820846,6247919320567583868,2329241728298624448,2083882375776942924,2662681801914471654,5843361075401544,175293498724833120,292143609436881600,1409949286102378836,3606407487265745034,1880172635376641760,536225451996652776,2790280101356445852,1311125016295365696,1436300575254781848,3204788139319917312,685448679670813944,1182733316098984440,1349597798265471192,113052845982287040,1808769888711022080,91466709499497068,3658515379294733760,858327615841250016,692200682433005814,2496829631066629938,1678403391274459872,427093643553000428,579947619376653750,3793892544872458668,3762785652673297176,2451754195691696400,2375358806219593920,2579780087289553568,1363413599419322880,2564375385465899820,2103135646079760984,2953599986653847568,5156319422538840,128902596908474000,1804560920440467000,2551874496090007998,1388924160826059072,1830221130255777864,796537599478833888,1289963762629847690,733998584352249528,4317213858770388096,557149386530864094,817321510840699356,2394115571927350800,2119337226041975380,544674425092368732,122048274727421838,2034052909835828200,3050309762589049920,252469644738229380,4200221386782744912,89398375774205952,156740211225812964,650900884438519232,1541399717374413264,1809766242155610432,305185788350019168,1120765030527713016,590731286692642854,66846673198517664,668438806590609120,1885445455958197530,172484146704909820,125517226992917868,518283138444666408,99893732586252632,1997791201539896160,860704729501887216,658755129804035324,6244321584271443156,2771790748677252594,665768422787513320,594890702568944064,56180414097306684,2808903395339522200,3696675318350568384,403692399203404512,3273025326915357048,899917448151640338,378690224295217464,1081926890713120320,510424689341022084,1029503628099672066,1946105731783314688,895464136096808496,419923341978869148,5398788987763289640,984325386219202368,2860405061929563264,4417599589822254444,1689184470781351008,1628258708790105480,2479254744291333012,3827443542893359158,1896891806875428396,1742562621667872448,3532033819599431760,882748082831795532,734599336160641210,5066885661428165904,3082682021592420180,838538255743096164,4704041892777568176,5842736663548567008,1365303538284344384,1648358577256834128,1767812230985968656,58387779407329344,417038164057771200,887290676645316642,1001657636293370776,595725424512754056,37056387742755696,2964387329080752960,230626422153732720,576542000049734400,6091857359792111412,151574001552126486,271930070302282656,1359593629871167680,726554565345864384,1903152854764902264,347354363591046064,2666509281523640160,1314888255112410132,1633630538185636032,3683202831369502650,2924382501828293940,503160335421869640,1867055247666470664,2413465478837345184,4576932395336396736,3383891150749335720,310081314225430404,80967772093844296,599900180219141472,30436314981138432,456525686737129020,52559771049806436,1576727382098587680,342047633989214004,3245108740213671408,3456060098842619190,167849662130831340,209665077043009536,4395041210166128676,807624317929881936,2932068587678373120,1455799310274245904,4023862211604899052,590301105402160116,499255332059737992,1762589536031734752,2211216150487464,99500579077187880,994964316535310400,2228737983902457336,222469831042778550,3114447820730950900,318467865724889496,1819740530229144960,145998441794480836,5082655264661603538,1312878132458767584,693966691963816744,335733717955230786,1267100056814371092,3885738414977630260,1245894181743153888,2908367408237939100,4010083744816039176,433073366882448768,1623957459829099920,1114041185259764664,1753792776841142502,5693635937197798944,3612913076895550568,164935622159576388,1924168761651570420,548766981394428544,2481378609326980356,4893455444178435552,1504889279160235632,308479839034440564,304078825094299584,324459784052203608,3244462697457987120,275750513488650408,3907986895073294348,1354713736380730758,823744926169548768,2662713358986451896,200952708460225920,2411332077999242880,2481204456106581730,613142935885260576,1881905607550947216,980084568469959164,2519185815149676840,3209816359196045640,1116022788062216704,4062693351114951498,591331581862642920,1350108547946592984,734237087684760576,2530797704481762192,1167102199854989420,273479930988840504,5714257222957415832,4407769930526845956,3521928011584024308,4459794569706622272,3587103735614866544,730583617580437548,5722807350290858256,3943132062971933132,2537707833388406160,4776092194963139568,2102587363416250638,559364031748089696,2665169469782121456,74384960540063214,59100331770116070,709174467834774480,449970599486229208,864604244837342592,2790668693714974128,1121611084190076352,3880889462846982048,2300988163705359240,633765571321495332,649015013582436072,636327682809028992,509703196122798304,707020878505860468,2427450231861587880,1395794125005364128,1579214104431841224,1312139167065341802,1432420546436921560,2314998585551626464,667314692730204582,180723688787505092,344443114001460096,1556917045845909696,2004292131046768310,1408309209478067640,2382704238256023264,961695777853290816,2698636907678593584,3588561874572641568,395279258968576704,1285357296760057620,3019536941474950992,833981867279996610,2762152395964276104,1523283431966722272,4999130484006329076,3942323916258293874,4639926550032211824,354263039957546172,2755264640157173340,282020381829535770,627832725930712604,1296897112162996992,3346790200803619950,586804072449420770,3986366257425256056,91030621528905696,4096207688070175920,335841417197733528,218120692851097272,2160481197467224464,4390935639829057914,3862501131692738556,2558221143545964160,1104870145916466096,823676265748061916,933462430499681500,1427627696593483440,4651020196192483344,216587182978317102,1443854550643354920,2590704841058702688,3813499211941936944,4634107692708759768,153693076289664888,1536866902800081120,1536365693881667520,3223172562765408792,1348503526084765944,519374788290155952,2885295614939190600,3968797420832789076,230468465552842110,921835565455445520,460975146959622272,578107701621881010,3411825630519790224,1232621162186941040,1954928326782947472,2377798889952308928,2870656173679993776,407002392282084408,2533909058112319920,2878105751086383850,5198761684053031536,3977103592912868352,127510524854000824,1912578443818262460,3782744481096267624,1194516816565804688,552863865318728448,1382102270499326640,1736921737610285510,1114005084007146912,2794721205555479592,2546941886487817416,1927703640888543042,4743898988225268672,389780162695189888,245417404500171486,534370622160255804,484946128696837104,475849405697817888,385067504868104124,1650471750205731920,3632292379601248608,446646835209535488,93780012733914468,3282164208352296540,316471417431605136,999775246638579584,2507566780997867952,439862607503315784,13514663313219772,810846146852664480,1245691197594528588,1201112603109014772,1806510138973778400,6292789722774981864,2181048107606998970,4320768583231419780,2584149427159381008,5703566967846814176,1021799166761263344,77896212778053054,556378435152272400,3460811245933885092,204456740636325870,1176502357712154656,230335099259110272,4606510880115164160,3970344581728711116,65012452718172042,650097559326795360,2708919823260243392,662639766092485038,175596893449483758,2257580702898097560,1299511059082155648,3037578449458275036,3711469886090671488,1909641051807639696,2724332523089759820,1064397972317251614,3186577591337096220,1656213333872068656,1282428222210536808,1910618475439830750,2193473853325851408,1173254024461166016,820279275099835500,4966978207381710426,3842070090351540714,5687856073309378500,2003720350283697792,1290576278839841048,3806690074815371184,4210368880556500992,1550431541224124172,268269804891410832,2004546132133544088,3242189157395143440,5339127686110159872,780574950676890036,1721624341306087638,4546598367386544336,2037351214626402312,1987495107755957136,1517694253685932410,127747120450372104,4955125403252941056,2924153178703584282,4889213234145608850,2414475960423100056,1084390501658749488,669681106126354476,441594499291623012,111868497250771536,559319310085537440,506917124965218242,709675362227020584,557801722946183712,1477122125112707268,2823961852518253920,1688096972185355106,541976724066823628,1004919875312971248,1332738808673592636,675498969349128672,708371627334625296,2271618809634429420,1671746818294149192,3645417823438633524,3775627046050348500,4514683377680690240,5044016065858597062,3130598540701094436,1216753898427708624,3755320040747658744,3606393282086199264,608516079655978576,624558232266397704,693924854959128960,2437553859011829156,1733171228898614280,703770194881905720,3538638452171188324,700574934142445208,1422328173293417238,386844635512806976,1440353583215656560,447287373606162348,59588167779847454,3575142055863313920,154121048021738448,90156153782123908,1584530878043575602,1548232921277965680,389433955947764352,3474372217774048164,4277788931204222868,616706593403103808,911325093221560560,2232387748150392888,566202154924248300,436872341212543608,43881218080617720,175517608456589080,1219573778386265712,371270719747143360,122260037534706148,873249846252342900,889372328687687988,129263580505452032,5170329281950187520,1326968345678627424,775474819042652834,382940314857125208,205219552471827660,602560528932189312,2046559544779676688,598294411329926664,1362155003783262840,3301391651991050772,3008010475177307754,4044025230560568000,218676447624677652,117614992198885866,653389596912602100,4657998780257310048,240254951502246048,1868572338177851880,1488367266303572622,1844658972083937312,1770024875488063040,642721182287866056,2531285231983238016,534066265652731424,1355009811623696040,3224281934241171828,1218241601751440472,745073151933924960,377215638201686664,2095555788184613400,3995656420466716110,1279743630705201816,2426896657165647616,275500804226657064,1166350358444332884,323996267032420224,404978591870907120,3013750287582561030,6176217871782296910,3135331995918494364,5297859296271709776,193383911802975184,2188913607138307302,522229048685332608,2641295191845703272,60513233626512816,1210214654712300480,1576102036085258304,456265547257069584,1330326379320854544,327850372487089046,1873353284679209280,1714909600736631240,4826926755205563888,2398984493234254704,949441727494468296,331643252495723704,2117106888742288260,3090477921520481550,2768012078715616544,338495119390171260,3446906834607602772,5269808632010831892,212360374920335472,1415677350228387840,3998949040137307578,1955701753686121914,49832733833363808,996613510125722560,4705697968801379226,1348204931318201616,1437514646152157088,454894340687530608,318467087730921402,3049220479410327186,994317701005335168,3812857672896832464,1720589636107798632,5415373244714976048,2392941031438382244,982236378022861216,2879836622835745920,2106391536617490918,1557103534052013336,1065948036468040224,3659984320391305956,2246296092549479124,1278279727445188608,1838367988983865152,1048600253965052016,2728150648103925468,711692168291556480,6310364934111081372,1023860343118746204,514322275071352464,2571505229489181280,5216481459400498176,132652045276212132,442155234509348440,179156203144346208,4030848208026276120,735505888797274420,81597746904092388,271981265235496560,2771257081422109560,3918236957728460976,3402321088958957664,1854636889268909568,2449741609124062704,474397101673362090,3725544583488160224,2125135301149416240,1831006444069715472,1803882328025089656,360816781142998368,1444127539011972288,25872693115000500,28746250890352500,574901301319050000,2130836018927205876,610433771304182184,1668019877523384660,901560377359612864,720446045208853632,717197679797513616,1402151020959517888,520012433670352986,759937734338584380,155217491615990272,439865355613271472,2199236080943381040,2253868917358874040,908267326922157840,1498212185128929744,1126063226378314000,1373254193829775512,756420601336731312,1066648867834387260,2016392126530343616,2387074679606033280,1797922996212108704,340657371735985128,261844897407208956,2281862731889358420,1678450288058123328,707691126015751734,1577376407029892976,3713951862321113952,523746671261890392,1371574763416147446,1992303638017993728,1974127469352585192,817042797748882144,2416248830626910550,1530964807088124672,60907132141229552,1827138663619120440,2626302228661253952,803798998634414704,2507544094200376680,578310960755064480,153282702246698444,437932532468406480,264467685652420536,881522630195049960,349653084318039744,4661849048957729280,607693184679483936,675186832376960640,545261085010428252,2833144362057054790,5018237226831742464,1028349215574416688,825389923740791408,1871752578957747684,721899441999362952,247201799799843152,2190821833062356298,1004585149213050768,2820765099211654976,3885467822849141424,5034985931792495784,2151148640902224006,3474877845390214860,2372557700494271880,428459118414423976,2750048549203307640,400680166162588752,3280242178740907680,3525729050140333890,6856296366208968,68560140735969120,171393295001241600,551031928646762232,2988077027959303610,668988152625867984,435693168847942632,56564778382110704,141406124710940760,2828006077198641600,4792241574541428032,1908513374063767776,1144115447760339570,920535346432418528,2980743680986189620,842790502256146032,3346563069554532540,672062255371651716,83927420697317904,1084859506216852146,486679699607074866,1664259852872672352,4136220441430509408,979949486601541302,681318371108926374,1731013490769781820,587913602392883376,1180698856015755816,5340600281529455382,1305666251744660064,856823540675970384,2768866956790948200,3656352812847753456,260537951460428208,3153524209326138144,586466354037895848,2592065135631221340,1253947219144494528,786559856787570816,4742164729226838672,731318908696175632,392123049325694808,2978723838885899400,1750380929993564048,272027287487357616,2040120753144353280,339005995495032716,3629017999107090324,477595270110559338,1250337156710610944,1018316684492633856,4440713866922159472,526590699691216446,1209118282518769080,1325699401532407860,4485429475099598682,5423721372708561792,2569422591856027296,341455237735682512,4354712278893658368,841490701190280564,3719905703599298400,460149899378066664,1187632890855179472,298431161942053968,1386941774291353980,1243668195966294144,959653507295250168,3461872565107656756,4493921207293386288,3410362111428445040,731928218585151972,73815944220911310,189212644863632412,1261365797016404640,4008581087034834072,1365241230175722996,621728458506397920,3158685984721880088,245759416023525138,2761159009947083442,1001746178413166280,1139458725941303232,4755683311983210222,3082690904862668274,558063417775580464,2253388222089029232,4931098901581608528,3872799557910422676,9385395867196632,156416839313320800,2502566633758627200,2357064745180758648,2815822553271688224,393922403267868464,3210966129174738210,3509403644689999980,3996508841878244804,3472391087336304480,1492311951709631478,676305621120753976,2529986411046374208,2378770172731325376,759159649891789664,2577934467803729118,305384491874759220,603544837313529968,153181525151657772,796814241018685728,839793052215456192,4558020335940360996,201919159437424938,5384289878671044960,860193535382907876,25188469946929632,323838463092782760,1439222980576814400,75423449632059360,754203539243325600,4085346731967078732,979007852040036624,1802036173949361672,703073800765427760,1380910727773308876,1391471474202580758,1722965638885586880,2918020701365339280,781657494478074368,2406720195553571388,2602463836210923960,178751101231314944,2681156506297638240,1409512719916934304,2649093852351374208,3149895625086165312,1247836814420491656,649136898498395868,54090638858074932,3786189396106526640,1609863748602950312,3141715817144901150,1184064455278243584,3259236304907074896,1706019386626682424,3448912093201371750,1387923610964666412,2018789126668381824,1514368647285449976,260291728259208876,3470414049694669440,341501183540838552,3902710621497497920,4715889640596390624,353170882923149088,1681659504952304240,1008796230234792288,287764655648684886,3699679590329027040,2687736775501406700,1492813450011845352,1273075085000967600,811193553798068640,1546714202043191808,3026344515533323416,42676179378836058,2987210099781285840,4172403050611836120,2098487849346882648,2212199378513105994,2835373888410617268,1759564316236571424,302314031979911424,41556253732143398,3739909556742289920,2338352798087778480,796572301858013688,2453941258546463496,422189580948759384,3909669012199454880,449554934886185130,555327844725922038,3808331846570417472,4632461738357953500,192647420952755382,2992210767202354368,1407817294667033712,3073519079335525080,2183571214743163420,761264084195487612,924796594180856208,607412575647172116,2188442634548064552,395954160055441650,548045974604986396,208009139316172992,4160012392156503960,2558033545665442830,972725202308171328,4521773020400600652,180771863982594588,1506370507377110100,955309837626789696,165476620104034896,2053040557410420084,1130209253439719376,3497353606773019680,1726760015118568188,401874529626222432,3013935565496940240,31206927806849988,1560282507522309600,536412092381782912,4885783448265860346,874860181289892912,96300438098775904,1000095650605709064,1084203573304785966,197802287178556720,3461398336478199600,2670825717062910576,2354712089100807726,955883524429378464,3519608433467564256,155411402803003224,2719588243667917860,2895485225855039820,3299342541270836544,411325135075698840,2209962629124379206,2147807691782119472,654471490483500192,44059341102011862,2202876917263810700,131077325300562888,598332730655110824,852661601462964324,705103248866149962,640048875741582912,1404128694135767248,5491670570363760354,1211730605335313964,1912088911636645360,3549728399891283456,171921176189048052,442425592628225862,353912029969667904,4550111417916025920,214246564105303338,4293949777680156,193219837508135160,429359856807675200,44145766937235048,110359904115841140,391720451003708208,3222203079719119140,148421085281297010,848085808258410800,696693746981555496,3930228004897522944,3796619857613854788,634403080359398268,2603864851197126528,526259740126415060,1022801942590210674,3378881413262157336,4555941138458832724,420497481561566304,1698873007316961690,1656056776990097076,4863490297106912352,1697139817513742448,4802889099446713450,3216240690178337514,980795067899531184,2121464140187206080,2747148587818047480,1868441827137264744,1212303466667629344,2426573089256126100,4105388322830015088,176214836590565808,340037977159456488,3893961885354684864,4100934380748424142,341563961963977704,285944040795165792,15827773374975936,949627604886491520,644065098502676304,754093210011697952,1390921255079493696,1859211058050464220,823857851631021350,1810455975658875648,524210053880309808,5398730636584030974,941026824708942996,588819131115448704,713111636149534944,2157349184529122178,1919450844871738272,1339499871258047360,547661777956865004,3526113932445988422,193918204046696334,5817308571760645080,566166626009816448,707679386068819820,4790698482052438074,3613736894679678528,2047373691476526208,428667121776200982,25779147452301288,515561900828695360,2237598357030211560,644456239766446248,18089086538799122,1266184370575766880,2333218676956908336,2372691679947776950,549870606436552524,529470924391008228,1302740960583380224,3340132455590708256,4382954520468300210,3498994180692725088,307416638227559904,352952171746341948,1867213274555488872,2460485917572519744,2210610184526844960,3355899957615649428,3130788727907803230,5267095640786460096,352464342955277984,1716716601436229460,4764767320989929088,1122213125847863936,3386595495778817520,1944386691499438530,1026216040382908110,4084235016988908432,801890034631294320,741084599608555984,868500568015842456,786081057273097704,657011202033525856,672746738439044808,230332556270525028,885135201202063328,856898694171990480,2365973866347626784,607504230918972560,4554237197816154252,97731641045419488,1610410876739266956,3901598116960015794,3058828750921871880,3129726208138353208,654900881230394172,226892783442120312,2836044166521236600,22296675179455776,123865367916985200,1238603185199116000,1756739992840731840,5432872914135807168,1656248189841729928,2989779728961965550,2492428407956790336,1408214691854667520,4837539177834028974,4280285925271838736,1958279436948947480,1499078781090279600,412117980376134060,4507786950247687456,587514027079015668,5874900865063328880,1076370493126739482,363911952588024456,2524332615763270320,275382721756716948,629516445188974074,682227972283821408,2699551831037902344,1758342852808593408,3491672369440614786,1699340326987815650,2834848365318064080,52411200897631104,393067994928306720,3275433201958332000,180599368948542852,780844369834369216,2558234691886163850,580077641849816850,3619564266706631424,2227751891000498304,3970571219383962132,1494988711022220804,2951237501200318176,453913650657933840,196009338791945632,817637954577515082,2412211535837039712,742115510538576784,347109042708575460,2566266966017592768,1135307807738440848,743295921115961160,2490422166443477994,85796256387686120,214481909464600800,92853147259538448,2089110771058150620,1598351330851502256,583684878734633376,900748034796849920,2324189405339027208,338490617060371950,5011946257175817264,1240008660632591832,1088960672594376408,496386344969091478,15667371459155412,626669356363744320,459036295322909628,815630907816095532,3667186780292554752,3091697818533216864,1825035173548250328,859926281619283008,238796133938852512,1790898141644694720,1584338185778610240,3081487090547566584,597690218282379552,1948793293840402944,422041570957136136,4128712821046443420,4186730597430195168,2597645844489707064,547203273656921748,1215957817712909520,3863615803444588032,441726567403758912,3312814523961390480,5199897477213258534,896677646558894424,5173003615291660224,98675406578997372,1122534284737361112,4128399722020042224,3157079157524541576,1917749575232324892,1116771505812611748,963680675309861300,515466711484713696,1706411650755753744,61502438134808152,614999379589850880,1006793816436491328,1105352885571736196,1759163684242408254,1307893339712557008,501582348257388416,5642572068687023460,4994397588512620992,4186018710956390784,2346907640380291296,4243584436720504128,2925752979146822128,777919201493077800,2955150516532047720,266696491879596708,2753404503753271410,2845213521212027280,332635408424961768,1900696533297835680,1039769584541845272,785689660159692684,2515996554211607520,668147508059804682,1495770127604442684,2264681700719603568,1492736458614684840,1862814522179887370,200237355771586830,3553520150524016448,1129466605132003072,33328572079679064,222181456276818720,2592011714282726400,1426737037188372960,747307150824996624,212288898011708850,33726275617394736,758810386506123360,1245197271344274846,2036375391071604798,3564471644160575808,227524719029070448,645194712795763416,1833669789855952032,628205165907373032,3227667374957513760,572670317942827110,3526547590375219344,725291925299294976,404319213972114072,521078502408370250,2520399022055446554,2061994575460596372,4808691681648712704,2064225349071053910,1821144973781920950,3928408440824240496,1116658535730982464,1383210600618978228,5207206645159291926,1374460094275431768,832754362794539472,1942215540623833112,631231651564054704,680142013893796608,4189437708243132204,2586875374003961088,615015564294454596,1572142185394518636,1356239153926649088,4026305932038878712,363939456720707712,4583888725321419192,1334988310689611424,1567555226651883792,4011671699121011376,710848793249633568,1664156974615112232,1325424429888879744,786131856650167824,1674551726600061984,5913732140770237524,478526915826210924,282195282052770682,48976786813776624,163249335932440320,677110382952913668,850276429487891796,62761778898911808,313796170886908960,2923590150229397544,870849428568948144,269852093799479536,4522304610704171928,263939063249919828,3699219449011564764,1081003787187644928,3384235057106897532,1232614163314521168,2694455145319955040,3743620753048102944,2770384250864101248,3197482554442133664,482304790374368910,3028798275909015680,2608731331721756352,916708576067350836,2427069037953926632,1782190927671172128,717175182665680848,2259626446839290896,69104034211813260,138202468499325120,6114385590894018396,4233690824837277726,977393669779093968,3358638182081348040,1578785141212823808,869103887336261460,130812919780298536,3028414573149270120,3501320589204635712,487365330992740284,1758955322779008864,825899469270690492,1292267138277356304,235117502318331270,3291511720905680580,1466924316368503872,4737081418144593672,896010706450875972,1336947631748362640,3405785905256057784,359348457082807872,3593339065182589680,3356299496827844928,438758331497555760,351892771015881616,1600333624819553526,3369333501188696448,468858329139325000,477616157776058928,848042046738035442,157878239216299808,1184038862982042240,3989671276761585576,172132336477823088,1431009499728590442,1120508486655687648,1857202264166595328,433574130566507964,632462843606842140,5070516076075674312,66105876422167416,1983096038895507720,793239119324619056,2321107962853392864,383599797238210368,2061177333863037872,2835071876501042868,1552163935042478592,795214944604196028,1094018295459023028,3370011221718002268,7311770453701368,438688479832110720,210219230071413066,1501505188494247900,596308478256571968,2342446133247669408,1984746580934548416,3023988064513367472,1100999972236990320,3248621646169432760,1135456813987748604,1472066053156001664,3200941084780848,10669372136318760,320068220614547400,2929063039507485648,1261857492763685280,351870652019791872,2864128175692223328,692926668289612350,623798955055721304,2772327711707700960,3755167917440902812,5235429846107198112,1439128396598059896,1485729882179096040,1527423444472849524,592624433262905192,161602950283771392,645963232339421064,52244004044362438,4701770323195192380,2900894581458767124,3378020576201487616,191473335131954076,638218657409498280,53878390609723984,1077524267661540960,1780503608446971642,2006781273288001512,1088918246774030208,3266982925246239408,4360603421739143088,1102111791693302412,1833168340866693744,1022726186023252336,643619952818200314,45876120662859594,2293713371307378200,3498358991983085376,3494437179091257510,3072437828641842960,1026111165953492520,621661359415412232,619446487025455672,2390098853196909312,378541869130082592,575234221571978960,390244960969703460,404925802417198470,110373904659318016,2829944068459499628,4911042972816276030,3926805302334499662,44517282398576136,1335464549502621120,255715392188326164,1071720273593529546,530115799258806144,1252090244640765608,1333794633274868616,2635459017021970902,1077033875230680240,2380968227949784416,2158693198060664232,615414252613885860,1633278445388285520,470564566028656632,4094674213078496544,1128876388977401190,1288161365534289504,1062160699412701440,55526799439215108,1665736762150065240,2039438493433265256,2036794111618826736,1204804189281137148,1831679220444962328,516111689786480064,811564610105374344,1218621169605083676,1512891380721487716,917835343881967296,1193722744113111744,1255638552956577108,2070835006870380924,4933117276457134688,1736812378117624032,404312064654369168,3748733162440771848,661102235977361568,1956948197297145336,2810441433905518632,2472431441720468340,400640793078653316,2861604547943307600,688977819740394360,3398901920673020190,4117646945995072896,1302036979418299740,3059179329610516428,1274261548011284508,59493477321243768,1487276968957771200,182743286750739216,3452560822014741216,1154957154565422096,585395715314141748,1898679803190690828,1237888632367117884,1214325008877971056,1468722406537338336,23320949877579972,466400199004282640,936624183202965888,2486261989426416480,446136523204534590,1752120160160390982,3309982826811667776,633909773110434128,123175146745121748,5542658258394238740,4052500937351952288,1049731334506077120,36485261773054110,218902750894565940,258738291047937312,646819668417080160,4004785546425186768,266263166364253284,570949014623962128,395851367422368216,4356210439599994206,5168373604684844832,1305440753090430852,4236637097921799168,2100180098951938896,1485088135877708904,683204740173448200,559320248183717196,3293525573798471144,4711942521089947836,3215667796235333964,798174381756252600,760103646086731656,2026564436699450688,756033013131801472,1489731459785643168,88765472603739846,1145762681690828484,3613866193650019104,2576168903074965552,455982128328643752,570539259556700022,3169534965034033200,633618902464660836,52712819245069578,602407972570883040,226293831141085712,2262847235778048960,516535449688515888,658142589655732376,758106175576915008,3504965209931620512,1832416504468579656,3217581584925127860,1354127494531381728,2702548975992833664,218207332053789192,843223663567002618,240807490109186136,2558816334412962336,2900350438934865924,663261132090081810,1843612847756382780,1037136933635436600,682386423217915328,5046512857661500038,120728408401711872,3219294733837887360,545006331751587330,2318038724671803432,228991098834568504,608101780487783472,5084545381228470144,283724451969572922,250087969234835784,1241989576967968092,1985902899826315290,719131593165623292,1061657174839156380,3388625253931277528,4675806559585504056,1682469630334286808,100842777571276032,2689032627977518080,579785489099295336,235105096709307104,1060386151239854736,3955579182168083904,355017170123009712,769217794696398936,1597852418618347488,1839728866540542704,2142117110489042520,113515761537104796,1760195533247949136,1150504543281445440,1295369207278081884,517467688781791594,132775362153962208,885133513846172880,256116440881178868,476458611961934934,2976782067896299920,1974152847315799040,474227657495106990,2867751176208098640,354894913473986688,1155008937071500344,2259083404858430700,1458830267419843350,417232730375991576,13885418013249744,138848603084048520,1079890205608796400,1382657667152581152,589082705359635104,251248434557254308,429119899505836902,166222521893546688,3324316941512202240,683541664108928190,2345421273005808808,2781572090214592368,2821463790481547136,2147578850731509936,757145392455334470,3486803126250156012,2823506684363086120,1688538951826175790,528806356336928124,306742531515576640,4907683498537755840,3493999865081219472,1899081770544258496,5048183112329878176,452898304777443504,3234858057175606100,1572773153712045642,1321765052638025664,2116189649468819584,1691369933668950402,701230196280205152,1096667639540070744,880624930169444544,481868404083902088,656643916199290068,2543173247568641760,462088238420244456,459351117595450676,1944665807887978578,641176821012506592,431858776830392832,3089258162403045072,1182975211976015070,3809110983570272960,601020224367398928,463280294453288544,1418319950562075012,3975066028309988472,529697875214475648,4416773829938144066,635931436693562658,66969286156554720,267866402771403920,5815490450361196626,223632762844385502,942399587273497704,738177350071072512,3215564037808068324,3485089309667654752,198511101155168688,2396780109341182944,2242933413472232360,1971066721449520296,4622760220359657024,2005812538874523512,753714433084354656,1745476008520192578,1245797464948647984,2756046463701398160,4590779047826338794,648456700763024684,4245323003006754744,2806632730566434880,580660621004434496,99801600835056714,997976017354094640,556557459410248736,51563236532897376,1031223411336746880,1502348864835577572,644351077730411424,678427777094568264,1106476121771687628,4135440310013878272,1323711373544575704,1035393563188646992,511790354145863862,1090065061757466288,648629982716594352,257018976890257842,1481488911263801322,468462512183187640,734571614774447028,3352196176389496818,1587833434869945780,570441601446445524,1181823767728735824,1826811422443751352,1385538103021654080,28959117809296896,253382135417159840,3257639880884906400,482066159637901590,1563602335204423696,1268276930314793472,1009711783719202080,3180288814679312940,814739087927858544,1332514025987338008,2629611427128051252,1866558301788851904,2068738194820492896,1534170170611113144,2188438738219025904,3305878963632814470,1944764517825049760,3892903391633808420,886234214080804680,3118213895052631584,2647186799306265000,792813297660562944,568923045435092482,159404853600702228,423281149056281376,42887750870628204,857720701971397080,283794176072108808,331120105667104248,2943172089998557440,447573792537684780,1483593626009772126,1332347808956120640,4142734032040917516,1953947345533578860,3627185941934767440,3110069552711929344,2600205629016087360,377583722297875872,2025312277256272752,227968916911806456,1037455846982792820,19633175154304614,196323901395964860,560903005192586400,210178069557665760,2101696665960811600,60005667861188484,600032689782447360,4286122958183154048,4336120054609061796,4695600551350617048,4447307854593738684,651952071356143392,1980999760448378970,4592359003509476730,2163197053063892928,1266212700296210184,118713061483263734,2981266261963916724,1236000376040201604,683128570928887688,3719449377907165836,2712293672998540752,1139710181038661472,1068019260340302864,3599425072243329084,2746385455697555250,1988551165779959076,2932100358295782912,245672188192405240,3930597986483629440,757096621221141432,605461474601153904,938065378541347056,5852479323919059522,1474317546169692060,1327761070463764272,517362280045119252,1383347041328272712,30288557897517600,100957827781737000,2239764654062837678,1324079505323501652,828969107685386472,15492304310921856,309833714646083520,3614582346345835200,1688190627569353960,618730964509106376,2016755469526657032,4665018426561626418,1074218089742814204,402720128236747800,653105559142007554,2950838622555067098,521833667471864352,1970085608122117540,4449219482865909150,717922198278530028,3551891019192884956,1503518044375164096,1316099030553356346,505718441198934432,1846370180552207328,4338978263704280592,6186842675684140572,5392330451962957008,3783062189215254708,2911786212208264840,1564647182452321020,1870370585943275760,2374880594775690240,1708853843845833792,139815651015872364,41545671705139672,519300181210595400,3149549301690210096,282259541283620450,3386979400709748600,273055119731683008,6090497888018386932,5136342003439698294,1195590605986371528,5541641646877829592,3900116059392723264,1828063291523451732,586625786260549992,719135964823059456,2106045617047372440,247231893926615724,543395143538428872,4021418796678143064,2542846450494096320,2147948954396978544,4343390580667159098,35426515701645576,118083678526242360,1478271211258394718,668026431243990348,850710416846996376,377040810105850464,4550637185158594672,369810819080222616,3312708989117282496,605208497214048088,1648011942055445832,2714611681710258072,4771458497098037792,462236728125054432,991921924958370456,145677984652862266,488544124339577088,253172542017091752,2891090884243776270,1125670938275507376,575171608405580928,5751486965521866240,1623404751456514032,4579825488224603736,2132875292455720032,588192821791521300,4400673907040218566,312037631251830408,185485475280438408,1200487707552923040,2712665670850999472,5775699681229336164,696874124064753432,1828896667545093804,4409098246334599632,14123679062723604,988618171033264240,190537250144284560,762118657667925360,750690261681129180,1910053084580403840,2612620258206046416,465140563727182152,1324402670211452910,1176104448062452728,1541785645220027776,840342569632541580,322969350454201344,603090143277420920,3116318415216410088,773254945447757652,2163323773010859750,1445443942380196752,39424249280748096,49278350684875140,2956583394741380400,486242554786784832,2645153623691079380,4361372000341293762,80934799187465652,2832605277303194120,614327723544021120,1303813757676041496,2049230883040350756,669904385493300912,521997823658986452,3326398494602842384,80614516389165312,403056550769072640,1798220710959698520,4540065186433566636,241300681660914498,1418229871668212352,689886735972530040,2318511371135098590,4685603895559413432,2019794161255035540,2438082890919115200,1214663809910467784,1756988344716383592,1476793322878542336,787424904176411820,1701330589585146654,184334262852200052,2358441560267701080,3010580304096389040,4280266033782398016,4401269236484413776,63663754359835008,954918361230812640,1981920313353839364,290493873025388364,487599898991717952,762533705553334464,4097246973504573966,369051210420643284,789143392755945720,2296258267378465872,1542870460053477432,2576015540023272470,1417376743690824144,116664220179771000,4331661370258063554,95132523556486548,634191629878487040,1074895665760384680,282396449698516386,512240125259528172,1517065199089253556,1043663216110809024,1107614363718671868,516692268846262188,2296318885076853120,781688671146225216,4955441936031634806,210054612349917792,1050231357278527680,4566385194422087744,1830691457927165856,935042529529673256,2264658014609026432,824194792711484424,461959177637451492,1277588018299367610,1001939120416503288,216775231054911936,341172881194544106,2715465896703188316,1672156081011371136,655465275046701432,349817709476283984,1311764347106935020,1061874043813405344,5410875231424354968,4291241924711614752,5157178834488718914,254966100870499392,3475600435164503436,698788277042554632,2648190972033485592,3254801912500286700,585310873608023760,1165066695779593824,1054852664106539376,380975018223681120,1877879096525086116,5042123671920070416,437133494172744402,533724150918578688,1438375317543829896,22027445031470512,220265713994052960,825963668690558400,139567599302499968,174452580584739120,1130209691823860508,1392206732719268400,184049505194703840,4907792195617581600,4651391039451669128,4419546607851335208,373593537007655724,4492737370902505008,879323574027686472,491245546915630680,1793179230002356848,762798621457736028,2459785207512076290,539287372964195072,5982159894048972612,2477498197876198110,1195707309291059166,341287006773893232,2037737880416357568,642084239566691382,1895078428061569254,1971824093623972296,3808003111872136956,526103904761066016,631997896375592658,513253283316350676,3100187409745381632,144367347993282750,577446513948479000,1393384544517207168,1274342970193841352,2726263413615238248,3565063088791321248,2150131109746115664,168714202710577920,642502041722374992,3846742400519396928,84694749053315496,564609298607018160,642033346102002624,234377301611725458,886292112732381756,446597737262090208,554438932748817126,965438271565813152,388066573074478848,3395448072270866360,434007178934110452,122268113486312562,1630176973262351520,3313740957445213200,1454710474600849638,645076246653782838,34297480718606184,1371844925761069920,140952104906952720,1409465260772157600,794253704410186224,5036929989646361400,967816242890309988,54200808410256108,361324423554277760,2210928168067021560,986245039130542092,1676518017756242736,1182240976931094816,1894423736456904672,1232476188186779998,396569485101282048,1111140113778406800,598487858792757744,2839506142112834346,854462864981631768,723325163809757216,1778095920513380544,1416294364754514672,789432323048987460,5705016333257464704,1826089570142512884,4658222988577858672,3114413424722269692,2931558726257658756,587504692042983936,1190078899081006296,497446482764628744,1327342939377449592,1340361481776520896,5622644087773950456,1024232393836486674,2739219844409198568,476621399663440608,1355245366726181128,643597046079848814,2428772308292408448,621133315692364784,380372820086016432,397248745193502930,566135961539592980,1691520674860071936,566097028700298192,185046332547097406,2114731655862645120,3599983324368920808,4408928438364731616,562851131037429096,1250730869750038080,622186924958071880,2816774691315011730,185784068181243012,4463418623323765824,964674091207192980,4540381435677609984,1828564983354390144,243190882116090612,778936756430212128,490757093278206730,569133269557658712,184126152563630496,4296107213448705760,67382164736561772,112299172818724020,2211770539837693620,339968017537068096,2709551355089173344,5840973497994544998,2557395892577907024,2258855007635896020,3747549305416334544,1805461769691054432,2299766950426071936,2451029714051295232,3081310051011224184,110269750127320350,1323184768212568800,657955102775924976,1137553799360641344,861076159689293912,549896752412856996,57657274391015952,1153099978243272880,1947651565206613824,2102933244897874944,4472285156481669588,1044962024616723690,399317530462397712,2495636090450842200,231621436388538768,2487937846177983942,268758181857612696,1791650525833342080,1600246107325019232,1203036268604241220,4614845475861444384,1982732610179649312,2927971598441148960,2509603993588120704,627513197215267224,1098561248104869648,263725441677222660,4189011657192121158,2738468206928675620,283934617182410544,2839234205813160960,658557912160306270,470364749134829322,5015890432320048384,310286672674297352,963270509142272760,3974603766904616076,243337685524752304,790889645794958448,2232130903991069160,438918331047486444,209213372773681536,366854030238217788,2181372405256646960,10135784044441476,608123073838753440,2006603871499379424,1256113804117101864,1184556902947885194,1670944777770569440,625927878292725744,148655454223989666,772127914949329296,607951912188011508,3242378223447856560,1500348934002965336,1070218638080104590,867018074010913200,2258884767356317056,2226454340014025100,1902964953093030180,456830072637579576,3970410401553652224,1700388516314427408,89652561911327102,1961405214270463224,574657113907221648,477481830580031376,351886442530434534,988918210812097368,1368057380199477464,2389994256391424352,2738977042850644320,458974005137473536,509951038016368320,1053854639798519826,485591144054238200,535694227220450148,2437069604383491264,666974628196732252,1698246039270428802,706694652312276816,2891241337879011276,1000122498657887784,1524436786567946628,1013122183689878376,958326806631462984,1447263755160293196,78426915537489666,212645441026120608,3082371762877828128,4171517828864932590,2271296520777687072,766640522664171072,1566063681641470656,951436132008830844,77347953891377748,515632740041439040,3668133470468656248,130276511845871094,1157967887008305120,276635214057424104,978048678499513632,3711587877036644166,469843804806244992,1761844973729748480,4075981141674410208,3712604541660743904,1152237511995843816,2735212390385589376,192612371449160160,1926047978254283400,1001487246418224544,1597848275177461296,631227937867073652,868109565017187736,138600523233832482,63223888153408992,948321041675801280,2714887371272810256,4158874298188435284,3908885483426062048,167612069002938384,2576283127090652448,4098359446206517888,1920262472048166660,911449099973620800,495646664742162488,218135039950339266,753572023523177160,1074064825265340944,722896907878519632,3629045119499027808,1902663382074629152,116709874663054608,778035263428360080,1775051459099263164,503506714619330304,1194375004286683344,2515349960410520484,796436300627716176,1250180350277886504,108077152749948128,4322916318963834720,1336547273483771316,1189301496814836048,1605264287484055176,616069135295925606,366717180794723910,456696073080573792,5137629082553546640,1788774469735889232,1933527165246271224,515014694398790208,5149944749952404640,2813959946708179632,1265905830582568728,1465951420825777512,1106446927868903424,432574876764039072,2471759414934741760,856402935642945864,275547989373727788,51583946210159492,2579096088146281800,1706929878852390768,423905997556192448,275772786620884542,1460353321508088348,2845242824557396704,89148073092102144,297148584335800320,629496297945037876,4001678657599283208,2353222007036259264,1631217248966552370,226517106065374404,647166344080639680,2134031317574879168,4243468807884538386,3947343298338325608,1498259063696513388,5276503237441796984,6277097643335604388,1841950016046002085,6681869345455607706,9758240142727024080,3161810369022147416,4813054098144897024,305639861535084125,5524475603563357988,2865318779775528650,4457345577318083268,2184551790568233168,1743666417981691140,1573664762816846102,5839545598571033850,6514519552248824376,1210864540273483371,1150504865734088415,2910132748608970824,10501848217477848490,6412370156654038288,8610170319313487649,5962000286725747875,1399795031616010393,2923807930892452485,12590740509635736792,5323044079336111128,6518055283130736060,3667680565813997019,4524099988007035485,19250636144101859,82501424240207010,1925002852431872500,8603124141553359656,3532365322956764000,1466199661123344624,2848135772599117182,11920647193465133160,12040555472218281808,6620654976566393360,2963818490145152542,5695952448431453928,6759977566416856160,704777754506032755,6264592356257918000,9068833137311576768,5162007376309350616,9483296933749269960,808297176821680434,2694281445681198100,78225061459971372,4693429701580212720,9007885987265582560,3646282939147848666,3923776506918520035,4046817505998755072,657961601379848586,2193170777805898500,614813424794994028,2252772036532867450,1220538232506746044,976745456177104446,3072081987377381680,888489543482376609,3863499646998880215,4648200907148619652,3156247809685261168,6461412475665478815,484648096252226858,8994986005170743220,8013284265921385860,7713672864943750488,7645402477467658950,4110134156278769796,1171215694807180200,4013594659325372394,15020207453438420463,11397205079941438765,3663053267262363429,2978929915166526090,14563298474472735612,5607257752891942705,2349345269501557600,202689954092905014,2364678928791712750,63324167796223516,2216311008974176660,2985925311518132390,9266599511799715956,1931240742222096725,516286371486160788,1005619310865723099,11492611403922411600,3926529144270316624,11610869899127981800,5649369781371490710,6305529042451835070,3602713772464099580,2569436200909467900,8429988816025570170,2669308551077100568,11583829919162182409,11946432205243250360,12408024877442263888,3188473000793529085,6047721856137730740,3093827385448867864,1043966203369323600,1009836419349605805,1041220427668576125,376792537843719144,1255955399000267280,6815479572918816520,1255222947633166200,10983028313915726250,1276207515777522102,4091358181231785861,2070290745594977360,3661966167405487668,1586493323146517050,2486454144613954092,5084156272911613121,3444368161983564540,1447846941709766402,1651278081129711930,487731316060687287,4598982163411192344,280844575433804395,7954330144092202059,11978055284233618980,3209254208288015446,8982974527994064969,11347747636081749375,5816874112619406315,4806291396172529700,2921259353435919153,1378083491926168705,2029782976744489550,5011224218372766618,3301606713903769040,9610991591205743466,2135695974639663912,864136219205577320,2443155856458006235,1542936505154626220,2307091584688590126,3011391391019278248,37753846653236445,251688366628557660,838948075122279000,5110142378190104508,1116085893219034325,6377533752787855000,8107762930873550217,5863927212796745475,7506445164896491035,11493825364662827914,6888569046412222625,1626644120063157544,2172100918419422550,1110603503467086592,1617954383576195301,379562901138178085,2719595765937522744,1190337351967683710,1643926205746195224,2686615849473592673,495868230558609480,14549064017504902686,6758519756365790790,1238211074764956104,3426595448156022165,169418026320263390,209371432323153933,697893854469820950,1310876953038252318,10792927031419561749,3430392413801206455,2819810287515927264,1358143446740774590,646691046464451996,2909531655092040294,10554834599333415300,169756591889200812,3819463590761475750,4513143734106804790,4040361695126146350,206932683760560520,1551970865221631340,485216270731773345,14556260582086776030,9116722352315840248,9613531387637621080,2222757267833056656,1455416954843407080,297854419156469578,3924624584299391037,2780068090851897890,4305801531405133968,3343808948722870005,3374235773725464792,2452645948435901148,6726722428582305390,3967960247970815840,3766420934041586340,864157864026371343,2039106073983700925,2485921405839377850,2218734222470823057,3579319607849395750,2872982358674816256,1448432789203744798,3375374311356220380,11087961418368161118,3786149142683526210,6503841393967603735,3957313973705606349,9015888035200989630,15016675390474427514,8288635823886547575,13950360918772358409,946841484539668302,1394910450999396520,2368811271865565984,6392801809827332515,1569528879116658030,7016954734660330236,66981875010666280,334904152053645160,837247323637931500,126632290093649225,1519563787110653700,7768940743601363475,2283167990557154840,7107698157642449250,1288537027427353944,1610646177747256230,4332884164960597620,3267484882302384288,5967634846482807280,12525682741064789376,3808837331596371006,4022070763381163235,325041402280515396,4333817841891106400,3281191139957786776,763451022302875568,7668378181318106720,1240648368398097715,2171782001138919015,3381770953047418596,1888878126591535131,10317353875617343320,2429712200940014818,933836619399964930,9321229476627365276,11443214970304570831,11959967138695450875,9647516336022886374,3183302790811886175,3594629145594323304,5910981593346872082,6034505146946728300,414721809555813678,3455961301064557250,1902732116495605248,1419821430609966938,2551385030955080460,7323289682098575952,3248087668626754500,11573107534936141168,1119458168735659452,1184537335645988610,1003132857060403914,3602278401715915,144088895403099560,2521516460930368300,797239114205721630,6924864355636715579,10863012548140738475,3537872501733376247,448111943045827173,4481049777572153250,3285627979648211028,9911161376194250025,7333068690000471978,10331530336614577272,5662871583738475040,4068922506259103080,13196114898021752580,9235535507754585904,13668153012608456097,529386802156731855,677796021830748009,6777854942057691450,1343922260824370395,682482196693181794,2924878278185853900,2822508125037538770,6171412491211654960,3131405821766409768,2594981058257356164,1979665788410671420,1560633731784879875,598753227467751605,5910418227373257102,13620517497859510035,381091132214176275,5081136242197592520,3093516687156057825,2460794379659724832,1408643953254275459,5984140556653757680,2433184218556538664,1441593455422474020,5390641283291645360,3112333957906551496,5560648732885084800,6710420520044220132,3543882948138880530,1289520826784178597,12895008311376214470,1982860005252252360,1579191258214024595,2366943762154718955,1221932930625108546,1101490992154304966,4053653219486284120,398415330767203986,3320076299109679250,11477334803314414349,1394879657835192281,1229025077117277300,9158657491400905848,10135324264754045700,4581448901701513088,13081622834381294106,1201876306870998260,1761759870236544295,1141858028346213360,1655607128226076333,4191541718253084594,1279173650644146440,10719870668284515409,2526603746627700520,4475348635955934177,12691367899443915056,866622515667541715,2006180683267714590,98489532475402920,437724480057030720,2188588525966065600,1890638382774763860,10097665355754991845,7333859364336042720,559754842349896473,3594265023365098002,992008713324416325,7947476794437910475,8101356458115448125,671187359739138005,143185201425333678,1431829867954497900,5763099159700418456,6480364263566370840,6439971018501595632,12476818777734246384,2144285956241261280,363141975950775381,2098285726966219840,1331726194123478229,14911081174903503447,1576068818065195265,5383932627936879401,6171068320396447260,2037393884415612898,9959149433517110232,3947781742494885425,11098361196145415862,1344988249977398730,188258921188708818,5020160342624939680,11508251230494565875,4514563684048592636,3881177289968590200,1279310567661006843,4541363558996821252,10889499268929012160,2023989855619351032,8582558856943633135,4226333077832420191,8334487551082372856,1280021411422340520,936298650831247034,1037036696974933125,3035158189674634752,4173028841756721942,9145214683990899290,4226948894976703017,3077406769621111880,4133482847743335424,343660568881596494,746491719191060570,9597602606595843060,1348827256608472340,676147781313120128,7606545210428819040,382353334269277125,8921440205487308450,9821590874666567775,1848420155053433608,5510017747697274210,6018093783917997075,547557959536273270,3219300578875083165,2972424375437526096,3090248363291858704,4268880637158117040,3423842692464528110,1705530794813274960,1383069343955263554,3203061232802067695,9888880980155123135,6491384582805191728,1456542244317546760,11252486228585513688,1704385550375755286,200226744224868125,1013844869953644471,305432966805741840,1018094209019534560,684308839214177359,4887845008641936250,5818954731471687540,1234086541276357850,4151478017729325438,2364212939483426454,7702441193247213160,9154200839052896585,8575100076975587610,2939300423600067426,4433223484366018695,7328736297064486850,1346014946978186116,893490558458230080,7445640086425185600,12643467350312067136,2489629734636258945,4930602212825874774,4384002400306138755,5213271812355211528,5548337692338137172,561241721544534290,3106933594596147155,9783233606693772680,2918378481815175015,2537859815536754601,850043801458619250,12750460988311295550,6872035077623730400,817700171167524645,6373091370057717714,1923445281875194860,7106043996482409205,5429613600082598940,732511009790662765,671735036849832486,64086885170840560,1922577014797614240,4256324158034178465,6172753949926854234,4519306721405908035,191327153482449330,1275494764781708840,10679037038090512455,1438809139964169105,9716111629714284392,2014843438141615540,192016273254098644,4320299812902150150,1474343436032946938,11517986396925249696,5470032422339446000,6738259138457541814,2623314594062353750,2953118201643117106,5851702555021518728,10614378148935787680,11399446866192427063,10560956336174019160,9372440254622168598,3938391750058497966,14183372237774336955,6363395073843954584,11733469208429942610,1398961254435821153,2755999757803283688,1918373585713867520,3677157234818718185,2817234506105108040,2752310187027176272,2427867359309345352,8659079593201516920,7645101197230998468,365395063699665350,823134841331147595,11523711140803531530,10512373810297393125,171754544034704979,2290025491796259000,1476794208280410174,5881503338459360368,4922388938936545160,2300461305291220248,3059167457441718060,449349672854025188,6740141843794401420,10090474973417855120,2936927117306259657,5919152362604474500,6008589794329784168,256113254453300644,3201366659067963250,5668197002982441284,6129081115781479590,4019764448340544185,2285530397866426456,7284577896356523650,8925380117725484532,5591911165109018575,8494832479943717908,4533116855569824537,259100846444543375,1036387526926491220,394223273436151550,619058789432481498,1433715197923049209,9403963536233771190,1439415522402576606,7375340285504102050,11672136655365917536,5194852317089515968,1357279763000608855,563523976331582292,10406238213508061715,6377975534624722336,6952395166067290667,9753490311477394950,9131710581932569491,12750242405430304845,877313662776323802,1401752588654028345,2700374647685045320,425740824357225792,2805584492912654670,2707610228999810856,748970919862628736,5848734866286968775,151033712934364365,4027504150775690000,463837871788006833,1546102622756889210,512949491187027105,146879138715547851,979179304106612100,1574231587192484878,7156331715267245349,2616761614775534820,2917150475698939258,1299980446544128830,5499711516885519452,2783551639903951932,3953840119564244910,1555120082689729539,1211722468939409070,2153790320039843574,2417069572127279712,11318496369286560160,2592540307919312208,2715744351054320600,664189736982784092,6641796046199571720,738203865256011700,1481140819539966216,6879031174191680100,7014688388846779732,414770448846314218,1777560530782379100,3777897949786375684,1143665883107018675,7377571773030254420,4421482798516793136,13114465055880157080,1290719631440476216,7719458274062261970,4981286451042276492,4164786751331879615,265714016615445375,295233297200331750,7754124111302248890,10431860403256752824,5681772559397003412,925350223793774090,8587774966866196455,2485578401581875450,7283042958034399797,5812475368931311384,10024908961960597600,2739001475571554427,831460203817859375,64784433870035580,647834474591233800,1619561528157022500,11332333550911427217,6820845256225356895,11570149224044044200,9491457551574492176,2230094211357361095,4910345909841404082,12368570227175295920,1577544666959791653,2522413751744026413,10289578914077857515,4430179357785345636,5970486931374172480,1651774067654184392,14258010206838065589,6362675730580786715,5553743703367779255,11673851459307686370,4070078691934174329,2349741997542698896,10224259590151999000,10499436390120316821,315081064578557550,2625635620857749150,822578788839801471,6497480041189496970,7877469943328342508,2747952704315613450,1262054299888493628,8065897874851387544,387389500870478820,11621508436000883880,11709056782461726405,5593828793427585492,2857521174715750888,1526416766913116520,335662710835643703,5594293540739184750,6182687004649054770,6038689384739436904,913862114265613270,2536881205359064395,1143890301090144825,14706937712546788050,1414334178306377811,7878279391913088450,1845140332860190580,1295940839187344100,12154031890125423597,711953277429477546,5003579690525848915,4631267437997609682,512676551507582595,303761541330704754,4556353987867066110,527296409524168470,1757628033919764420,3977320597535467400,14897600325006522732,13036605531750854168,12354062437176711885,1847943128196277944,9125917701591727610,11445642213454781544,7300280096245230094,2886061592279148780,7470728039495076670,159817845481866040,599307835642843530,3058162562104357761,575566787997158300,4111129034231274200,9545809888515805800,1979093144740715042,1606610555469600655,5732093912607213025,13660823412485366148,2075771632441069160,1874069297163998798,9739144534070911365,4377827972291836700,4209273249147244845,5447276521672212880,2147187790370670432,1054448864397150072,5871704326631734710,7494134501664368775,641790704191670865,1426179973261087620,2005335913830999424,41245706415340115,1649803284304360040,6478938654104635920,2938988342093185312,2873613619186947984,7770971458697379800,1158086354780416402,6550821218490771400,2925112777593943402,4105299205609736586,3419317302008069280,7679638826445451792,11827897664355352125,13885341344760456207,2575141745720013805,1075893935281913670,817147096436881602,6809456171945159250,363601193485770892,2900076784888532562,3130841536418210770,2227961838088285599,3996376680303935550,8193485120637959376,2008495331613606360,3517521309654823550,1632740257583933472,4610780462623416540,7405769083818465192,1919501954454064302,5713920490711581300,9288757279106798094,1144379085735261750,2507570518873152490,91205010335945074,2736108985887842100,2494475307622710828,7018402924503167080,981867018791976450,3193071836226499136,4232321937955095940,2571080164679708288,4376222574486948615,10696706759545018096,241563179096946024,7246785993733414800,1453445394087852447,3064839665141034960,418729357517191161,6125037257819031916,938966937311141750,12443748594103049076,5200903114355697840,4863937674792888462,8894940300622090116,7884878988565227500,866081184967758473,762235597620882250,4494105759886552872,206298493427803896,1031476913733893400,2768521780037689521,1898655135346684650,3642954410780258385,3316997059579117278,1122212401640124990,3219567013979810655,4416143428865961315,4425454234812746886,3012773156325941224,1306759431096940120,14700822088093422570,12907402297365467565,5486175222534419910,3117763623376843362,1838431520661195720,3855397351278449802,8842648872182396355,2088888830151995326,4096834166997533632,929694489494464050,1549467483677544410,4774725237981976600,8020195947992227976,280977412229011752,936577274633133200,2179370420161339470,7725613610200328640,12430568172171818565,5135561539695160398,5185772311120505615,2363626908509101014,6292391912814916200,5996938744919162118,518457645097141792,5184498453170148800,12125638362312703768,525163315510496170,3883546429590571076,11475137016682975480,9944819782372776510,8965909795389836016,7670838933791389620,7207062051935363538,1713605332844279732,4872581757395999500,1471559959005219075,13302414778142527650,3086210753032288504,4853436104871309519,2573099723774696010,7834407750679106592,9120909246145644750,2795678759124183609,5807082335312274276,11535721053073157430,4944703794526018236,2341945304150782785,5943974314895875130,2764733700915736227,9922757869990255745,3762429624774568104,1134464471772721775,9932029879364680528,2863347554410996056,1273252807324422675,4611906945783169196,14441196703552894080,9265851507913644488,29716409477557467,165088685779598750,2971551743902826100,6590517086424030900,14308747449335127909,7086859174838195067,600322096152222660,1388390277481645508,1467730132389668340,13046294343238789440,1422778674516179181,1993597592766943540,314344735693820314,1796228692318404400,10646636188765841082,759555409304456769,2634271777730873655,512284211559729005,485236976310757335,11322026370654487390,5165872818627953804,6696482640195530175,1477548422615434914,6566783452943272400,4604976413021687313,1872775636111871284,8249514344427724800,1042766537646090192,2281305676765114125,881345494001460349,4917993125545082115,3530112024293710695,497776230613772586,2488843873886337450,207466486620446515,1778257538881754700,6552454574489833575,1532295337504537619,2664744778575213090,2269737585086711616,2859496984713623748,8579542654788867040,1611590433176782604,4336846454021903280,7390225670537250192,1491653399352270186,5077417163759972220,394920003626310930,321640144625160545,7817238631079678045,5308208957056981157,3886470634039029000,4355622547572217845,10368569224132199600,8346263503234686738,4129038975700505892,2436287394292809120,3162713103363288861,1878362354614339440,11728251659949951663,8776561021592494098,2813022554979490140,2532685263615520548,179360227967463725,423121844518086747,8462310404562008940,5302537374805371480,4025884892750429415,1587739974415931190,1328935747510897106,280261726618518288,6305794633811658600,2778891953446134596,1330322179529902380,381237827503813704,847182517791701920,5588232892557599700,7367589847592349725,611835753078908800,3485317416556063881,368003894193156921,4731407994206818350,1203079293291197484,8133524609072927730,339342110172667602,446686495206878690,5360157935568481800,5389015379365789480,385194797114007270,11555671465137199140,7657141413975319458,7191788037389942070,2116132425221347195,4642814879004052900,2053035222555049050,2480817350626875288,961924121550874840,4518321751522570482,7389113878371718640,8801071932695148045,3041176831384545890,3069511562106791325,321966686998822632,6439237734660564000,7403511670850374866,14579156446340338944,4005985986275080215,706455512115320930,11303119726740527200,1834572830351968224,2747171497155173295,1800442572787423150,6707890579176741465,7630137726135985710,1549050839547030435,3369714596826109194,3311740071613629275,129272093362880566,554015005444863300,977549282063427045,1823488280915473974,4163915193466755315,1341332304903547052,817902080027296640,8178899027511015680,2220964854341365118,4565257399167344775,2867633592344495064,1130289853252788800,1174749061961925159,572859527467925319,1034475859899420380,2805874066120882131,6591588924604024950,5404769892135820420,5427973305540115764,2378039281824559425,10589853186560884624,157099656974854900,628389281363529040,5964945293561527196,225568817029681060,3947395596979861810,1374567131313079390,270472768730812206,6324881039105657394,4467505720502128360,7152907363917402955,9916792778695554090,5579199489754574670,3767176045403987742,4017251227208194700,281530713602543864,8445795904150050000,3494233737388194528,967955659585041730,3078329483038118680,1617605897575232409,441274171813043965,1112281603216818948,2443228360472731668,3324612525384532025,48631262341676218,2431527008869104500,4688496894306018594,777638643661326671,1176167955797916790,1268976733476206274,464953059655373765,8097342183244003248,2071634013648488744,6547649708272967025,12367627176535460152,4274309298919123135,5782879995560430085,101704966565296038,678023050524635000,135828204124503321,4074785673729212250,11052517924769477022,1465224706358670426,727380764973918230,2700654120339547232,918580729241068920,12247561435215257280,2779072289957506986,5330584165714175920,781012512016550976,6508341112596584000,8821495704417047358,1506767669165709422,1781821995356654120,577854973121843737,1660737786615806990,511764819187695435,1137238301854750300,5167624119387912455,5495990860498794866,8780293827192517560,6989933770329511001,722461335022944032,8127569630981349000,3139093468280291940,6255672494133329750,7739884037234366504,12864170767540356225,8807452934659045680,6690088798636992012,2511982078167799260,3050714431254344439,2476787607536029956,2206040157488515130,6819788786883367872,8837320693607139660,7689161056845172660,2693221508715691805,3519624749159902840,6611446914560919144,1126387462322076390,2742653271993760788,523416820514319652,288046440614389265,11085882660339371703,6993328354943187285,7054900457928529836,1307436873630121278,2652348486066355375,1795065269902946705,879167657275706700,7692174701540168754,6404336658927344365,5077680963593092260,10396094389147923651,12322632035317535,739346994942027180,9857814248827594400,6270997244417424840,9963717485955148144,8249334664910389155,6472045737981993925,5022753811210273725,468583763417481780,3123845612116317840,3928443053503567425,2528571535864289092,2211987647275326466,3514021593961674540,353791850611565838,483637628903502580,4836304883079641960,3328549534398769818,603648452316854525,6555697108911700386,5192940274025723000,3489224702350896698,40972819337494447,1229166440580368550,5610859711496318398,7121368077034967600,6362859209258122032,3591088226259100370,1773720696121402080,8723387903106890259,5816861889670489900,9526040997779044494,855092909667970424,5881376299240399020,14079064325723149725,3261347755579256340,6252785896147624984,2413002932255524983,7266830714574300350,9477472884578536852,359719191214247760,1814132414770358748,6880709987935698045,2912358376717574750,1765348372320128762,3540831677118251250,6716416568317958159,5434035893556384660,3256919837987652880,6213557619196850992,3534418281201501360,1758242466348908631,5187679096633166334,410501909324132475,4054030598411750320,1519733775555767340,3364777725776360559,3556638900851344864,9214197278082342160,13086775807671476656,6143408223956673340,4289086154940239128,2103159644632171885,4562706448391373300,5346657299571601650,4061498911971668850,909619351074933130,1034704921364267634,621967551129085000,4664688007814629620,9500895202162812800,3143653280824015917,1397317072484103176,349522111198314045,1009932941827601420,2239613003595763530,879094365688448936,2204738700857912596,4578252515640966760,4699919872795244586,6785220102208564120,1246449653171957775,6771718078723682392,1861237250233156200,3400814300389722785,864909524224670440,3095645474456618814,1323015063064827642,1676219883452136015,648631842390386141,6190440027038084740,3961505879715688446,53366280414512178,1067309931891099000,1061728806334018056,11944273660425960750,719220440906988524,7192098801950961640,2389260875811512820,4140416251210111404,2850676739231492880,7607168091635650245,1202651814280433913,6453001871339325120,3518596837442432808,7413731444493093240,8303518331853862520,4035874280042934752,644763658481515830,7522132319269728370,3485675862926932360,1456730854241096505,3128705235929611656,832458458659649445,96339691006511315,4816913906565901250,12652245582533015355,893427190094880882,2826002876385950500,3863103719181814224,1537849281886083650,5122497567128751369,2265857695081955451,4855592855519053650,1484126825947435915,98453951527510785,1640875145484372550,11454738590113779513,7780453499533666425,3013256652134482572,8568689756584437810,3883662446137737165,12861168049428064587,7900525873194206910,5661786649332844008,3973255965476980880,561870002928703266,3121454306461582700,5230718045396237660,4684352926519668177,4855809669880572630,1513003060423654786,2602104337279139368,9645943947635804550,5088900984778632932,6039624547345969125,1695298407027125199,3582122062905258935,2924593943963670650,7318072990988722808,7389379377313165400,8103395362106498760,1825899458292295428,6745933783655820355,12722431530709894995,1957469270639750660,9384839673162995490,4199366412954626455,1230510630033300525,453224461509972628,9064356702858725200,13169931174976360986,11818366950711947616,3234375945450265280,1371860556575621323,2816174247989691050,4894046140133757089,413999457801921886,5958999965967125350,2329855250382301800,7608002256684590250,2340107422918114486,381539052262960326,2107706545747649560,1980829278025130254,156261825971738320,781297719266006480,4945723992809057744,2499625333790830390,2968572314107744977,30880533099331160,1235203290437296960,1443975141502126449,2575657159391393260,5482070985795445236,4429194396513586160,1814208360654716241,1115668847003450887,7760768327968318080,8566108332982350714,3378810913811581530,11199249303270266672,7639852402502272548,539960761541141250,9504578401293729663,4190589108164135400,3276835682687087648,1617456760369479796,6050995056149445920,1675221331756434215,316405599137461300,1898405916877361640,1397402197286686127,2477827609800344910,42002421228395195,1260054270861336750,4566472395032050990,8242815780846922275,1883454410127538850,9603448207961633080,500917637791902305,316899096567486028,7130125797371536230,5397066414412627680,3120309124066696824,541696160460851970,1462089380699639691,14620680878747310810,11654691045590616200,8540042334122323716,1088576755987932900,6163726104593551764,2487296512650760524,7734801489629190210,379189725200231375,2529631335067104300,912709580438899929,1303851853663173570,3076251263300465810,3571632935625523818,4096479505975587620,1920815182948812320,3335960208452910228,5052422638386129240,11097665196753027048,730128791933619070,1460803660178592912,5132594174982664012,1523163959245678040,5226079056800373540,596409578595806370,8290259516625068376,1014727505117033688,437941229770121175,8758697275974878460,1457776320041766100,12941118085466130768,8675469369489292104,8068397230470701385,3011330958013813500,6711426552266411990,8255572462578079530,620583745638265622,10231039633935779960,2585513896003942218,7158459304187942975,1178970232736277822,1176700694050633052,1299539158399500035,6000723216158708076,667472145972134355,1748329575840839757,3605828767056224228,804187820601494925,10315579597179703546,6401218275969245040,11025010094181684669,3024584920843273852,5961759746688620700,677408774165839376,846748681246908500,2064511085715466360,6571356560354996683,3535362481848372525,1751104422524217894,1276700291685959205,11471680836134032167,5016429241001239972,7343266124635203735,2560843981363201728,5908320016596952020,8188053228597994310,9608916589921300566,7442760358550199390,4567836045147667395,1855812175605046750,5357058832462978975,5190525481475017704,2660842219066650450,1151809647912945364,196526042232624405,1684484526939042780,6996439938143951274,1027255491054842550,283020094588596588,4952779914492663750,4081895533157984128,892857433703788835,433414292080669185,2889386772885568340,5269457220799674160,132846116814764496,3099697848576769440,6875268875746856580,12897324185135729456,8111763405487833990,3129519695087737616,1259670988742089236,12377913991052974245,5628497994434476494,10647988957684672760,1095140545899319452,1290259613533279613,202340057635400055,382533746217790427,4892890296306276360,2056383433822190148,655755419267391771,4905694352757040875,4756823555308679619,1452790090829468300,1752898925854711140,1346710066104040908,603860302531683795,6700288817922469146,9264689250694507560,221311973756536304,1106543876287151120,8555722367535440230,5911292655405085752,5790237774508205830,138953926071390510,694759592746907550,1543790935633392160,2314780266126679176,6060938639429293515,1370338022045224095,2574286136452447456,5557461305261895340,6943447354655395314,2307891201658321760,347443720956496458,4632516064160117040,6960889803279047400,1501063796515083735,748490008418248725,3326574245691601480,580193085529611475,4641477701084539000,246940771241288198,8642802282944734450,6068699840338323111,3288325254665184475,4253138715757158240,5289032307248433480,2216146188399608430,5793743182800669152,542938090815551235,4653687951840019500,7181692200745197168,2455396734388153525,8156371078271251240,7776008572412159905,6357603423356480360,11106211847539596464,6124218328936384480,9870645579576220764,5648657142604677170,1459798760903375950,7407479842959156380,473139115478919400,2365661492571113240,4978378215774795785,719813618421944520,1199672082615766520,3645557308782617795,2607790497818620023,6290785215093340395,5530654646947472525,8577491648930009624,778455216134189245,11046895765419362634,3198217942876011212,10070279303235191530,3817374364542021708,5001184580326645420,6173068364213927958,2721826788669843984,3774418219074521730,8862172780099735512,4973278889047494480,3839628305027208692,5615884365706005300,5566554311131470900,2165462522497267690,3974509429860190400,102742578086194114,9246699043379860860,3967713373378956030,6785114402977885404,11804311405450665840,6155450067068241,553982541565654890,2462109234538974000,8673392530897384647,5517485804015941470,9021289358783865375,1533421292308318752,1946936347624320745,3428117738105893581,6381942556947030160,6038625459965313355,1214858943874739766,2317429340667857130,352985513668242627,5883007393477405750,1187427352190592532,3990366850201370577,1745930991795722550,1206156231179165868,9639100769342755375,1326942677356592844,651798073763488768,814735896300332800,1594286772038702428,4794804882840308980,2077990703138326932,280397380350196707,9326310396178589320,190871891063677469,811781302787412705,6406947594324369534,5098729634442478104,1538122693856335125,11505580010601142456,11501339398843818330,10507082372338657864,90595009848129426,2717811321409475100,8291164475166783042,1431013431626590620,1810821594740277288,2245075712367760894,8390779967210529000,7058252321803233408,5071694106262097000,2852721761367325274,2323632882062610044,925636429958756190,10798936944284913130,2752715492494816580,2981444393227059594,112518558702423534,1875282448302161500,950885306899459828,4438010475273322710,111540388020738342,557693953409595210,1993614913741251465,478099253926786190,6693293721216823700,9624024600186196515,649636275910076762,1584300026734577965,8856601621832923784,7481611904374357320,3025212320025970569,1823637702277109628,1935906703826676950,4480445151025845165,800681447856330300,2551774174814213923,2597803182371123496,3495330916223831120,9854730272708314686,3381872451103507290,1450634545182695774,4230526229437543236,8046216962156764160,471872660788542404,722404464878232435,1352669107434070972,1941620717587451904,4684235477010967215,1764822971720606346,9131650249869894005,11112745975202835971,9154180167194154248,3244268045859662360,10434741882725881931,529021663876153965,1140413035839419961,11403967448993435010,9716373545364218200,4823768836283279323,1723513862919140250,521630009247788454,613285940352439494,2044257277445814900,2011277925051205710,6746251745263753890,8549927320091932224,1317730011484581205,602091640115489090,1720237275769064120,2096801707121452125,5525453753862884088,1027488405187179475,914227605150537520,5194313138842745736,13788271498161653595,4754223508691235688,6204977461277718762,3147349278860882880,1348462535288311964,692256648308510880,5933543796502116480,72735256926509574,2182026594617896500,5834101108411800224,4491360429784517400,2824874840686553028,1236395522165924705,4561673031552663075,6606106360896556675,7546741940176285650,2253538402462597946,13073104863035976456,8634195420970351920,9127122150219932712,1588257978438783995,3482238422460150363,786600430461594515,14158606079471980050,2021164262900470426,1459157978406666200,7695940348207265994,2754447829851408026,687474285094308090,2992083586738254792,320645621359341540,534401761514056980,3062553579041353509,1104104897478702800,9826426995827899856,5010011930859536250,518930223052492725,94381202751752169,8494187390248324050,5045105649843655940,9324336961878662280,1250253978217953618,4036335449742095301,6071546730942660400,5572235525048809112,2546959966571313540,3898273625132551432,9419402808536812950,2948489000908122945,105971279520049032,529848865269544200,1048814033423394472,7865993443788899340,119545490590846160,896578437335938680,2707218489359369090,913082695692706084,7773332287338286668,7556280197272035625,2392165514249310018,1434464028034155600,1266006805463963992,11404821080776795336,10599891011523589590,1337403984062117036,370203939198640800,5923178920082096640,4326054137602006180,2872676132806202550,3036979128839382328,4259941479658927035,1464057916211868908,14075857153243683648,7431139664787564120,5581413535370101325,9490570381113898580,2410601573801918560,12418158995820140784,7315157730263303655,6361173949502748632,3580330201154933415,1481660589947381529,215094248274744402,1433941318612537000,316262138657534014,1528329554068969675,3450387052635480006,3391846487399131268,925825863318409725,2903776304905040714,13010638941784075410,5532786855198490128,3795462519071306960,9491137154644039740,2965309782417299688,7893971871017754960,600994559016964605,1107953279423518647,7654202369088251760,9235547394001059733,733531914330118020,7335215248328016120,3152849051323165492,1346690218982954170,1981275035253757180,694926109642235790,414119527264209656,873661314717307818,567916785166938125,5446092603427702597,3736047064170414150,5088989016618741815,2256610342841658264,4443895454662056510,221185892011017366,737275874597514300,3354144384816805424,1851216434255723396,4354137600808663500,6506570782241086752,2087016629313403020,1903353704028019602,8665498550164665222,11002803990778513840,5492419431526589728,996421654334231580,164284222049735034,1642818995578324140,5186058476444828235,4312589074508629655,2295125544596629125,10590559412806138304,345463338972402224,564931799479171050,4707698475590283350,3749429221242130875,8531571858806524424,4330230011496140720,2971377331453360050,425839370076652168,1064583389110861300,1695937873510983268,2921778183805649064,14171323553879455125,6298460338899243378,6301120056107278140,3758376388677072288,1432275957929857058,7561373729029735080,2345471201173676018,297975727335951255,9428953081187412773,3265214544124858416,4080544477649606050,13042900527187618944,12877821233939436840,7017943767199198155,5850118949282081052,14285315589188587875,9436080501737276504,3305986411960189125,3266265639163585504,7360535587456822662,112207737544700875,1122061555175002750,6411689921586950000,5350440118078216204,2536668400845920656,7692301458744610825,5548947949469369864,3662542439496772110,3219644974781136632,13680405001591053984,3572073902853275505,825253169329119804,430934341895495915,7314927657560996256,4599057767690257998,207939009058081600,1247616483055693440,1789107782914248180,1570509949236177950,5297618879181055464,1691780723139532500,2229905109295672353,845697777736315025,1486375802961730425,8044896111685879314,706010524667402220,1331536612918545370,3093632710821234765,2084610496412280096,1580580699200491335,6117443826502247060,5470175859045527097,2365515014136768410,1216796911210728039,3963021734496263140,9795570190650851180,4702644112912643680,9977435083957756200,9455506803438393267,716674347337398464,5764830572158048980,10575366021360524657,3393021911843120840,6848116700645036936,13005700291117770600,3148380720624272550,7414275334168433451,7231294376579675700,12074291014983914848,3696933758786701029,1690104031008823080,2352239139538095800,1309006226544261555,360454783936904118,1201499071609696860,2227725983852219490,7208079689274305344,3417155255202443300,2323190516250537270,4268234069756900936,9633497392726769240,1873157643275600727,12156336633428199855,2294276660888655710,7959214533774220788,1522792796566347180,2722284721562421835,3862384888273420145,624960149831766277,5427709312829481428,4701317748932253150,331163883109765281,400042471013883200,1500138226457217840,648883469569064142,3244371851333423550,1030208833512451042,1553606134557994590,1719873042865049742,8650469887459735503,2830099739611672515,1280594766496898475,6959069172027031975,6988854793339816176,3500100267435656790,941929633309169005,10134374406550337960,2509271713559176310,10198692244292762637,9295749727549809984,6554079014980818360,366187200879144285,1220606907478883250,1616010845848909276,4676333469112650288,915148086209169575,2000253853359945430,1538566589536207700,2270887946091290876,1573220621286516494,1345377496931094630,3712843655679074724,5190645667820580660,2502639382069540875,460083405531377508,6901154519971520700,733153622897953192,8247862868071495050,8114454833929164360,726470069917589088,2234687587724234820,3716969614498218832,9704706260065610010,4124064101574134260,889557291237466035,988383170707991750,419836644795937768,1049576938989493700,4302970237933770684,3915803779002594336,37283349091270500,521959592479381560,5965169123674800000,2813516261580141348,7381333662253245630,5369774132751456390,7215227751666595725,1498653546857087270,962052214239172083,1577302898691189319,8860610386295676680,2597846488716748744,7915388819751680475,6995631308264149626,253567942522807303,6344012624839739395,4580399287792946275,3042346851721993725,1461139900957877616,3548409306370357662,684136390340189110,1621940954496275840,9687835906391517570,8901579233649396366,866958103049823855,838103041179079000,4190456749111885480,5611949002085105200,498594552638732056,98761255765703267,7900790278049358800,305679804781417626,6113510850179875800,1246075141939541202,5374059302367301548,1624261620555693750,9634067127530623668,4190537196521302695,8438326224858884718,11085584305760235135,3662500219095933780,9110647439476616475,2102052933225167640,737795988442364874,1661176031678780938,1136726319739693025,8119360615349100250,12646627351050214040,8054210685536613017,105765181342848313,5288185428250903750,804990129308754142,10750069886083193400,6305281318709268489,2951322160349403516,133828473312051140,334566526459990510,621690353969797770,3552466869082983120,3696278566666335475,879114603010235910,3896774469749460390,3219329880349738510,11536183065138960488,11152590429708837616,3659083511231232720,9059278462757767755,1780000621903505040,2676945446476522098,718984876557486404,1354630020549335240,130356346177639554,7821272036135615400,32843490593825856,109476780215112320,1094752585852960000,2359075493244409484,799126581254876550,5178057879068874016,7969532217567063804,2862007536186808100,5791330754494715502,10858482031146610455,6031008911729482947,476648724139999555,4532648424115737840,3671197277426297624,10667880464421468960,1252219929371394688,3005655305133663738,3412466297229846285,3217857365490440064,2881130472844846770,7733204101130753440,4090509638882139655,172760025532764900,863788140399546300,3191654454596267970,1747696397141170588,4207676717041703045,6771555828184749150,7606619287946914760,5099055960602036475,1566903216242569894,5300190584867608184,463507386052207720,2760839930397851068,1178745408631124910,2023792547854191114,236973136537457616,6682445529853731435,7328868103644487184,2050321735770806650,1465935503779639632,15122688703080711,352857846552813350,2016302612195076400,319093077355228390,11168102976247670390,6555985443855947255,863608350119064210,3838206168451135440,10224986712166663325,11141407340375199314,7644450641935600686,2705019180651684850,4081258786317387568,1547270839540430375,2917787241290425495,8596482000834027573,8506471924875778950,4653625976096326824,1975538798365339480,5898921274769659633,2642354170081093665,2618534374036796930,318162554251052504,2386186143937518900,8685292573257740376,11703018808805314816,4849023356502321240,1524631293889240473,1823244571098149355,8386098261893470209,5354129045337380037,1069701128985574865,1877001072276597104,11277170882290846575,2291149497099508066,142609178388408466,1426072073392977500,1875408545226794184,10979988952783908600,2144714463187095306,644093453411589696,4686812898338564955,3947889153473113692,788948750948304660,9016432607784563520,13623975404175118986,3016970610044903910,1200357030371444808,9002553411014097300,1849709097101072955,4026494775216491172,9775099244059095760,6696750435246832712,1206060812458120625,3930943534567162295,10866158600536276368,1151345661819239080,1758303875838308162,5961138189858621675,1082211416938377234,3607321621086436980,4508289926409701775,6252659433455127444,2000306689280337150,1731405316583691588,5086494963215058354,1396889270261612700,1927671201921662912,5487790927062809085,5349361202609107784,2951136367029485856,2626996646657199180,3381826119583559262,7598783613881763550,3978078566554551067,4033023259280015785,6257238979824397960,8115406515926187544,391948682428652440,4012526269350873948,558552959725584408,473046213329936310,3699632143761745135,2694491027757141990,4276882986959433775,3848612520730076505,8206497443518187200,2028078420984385528,389425781265962450,2897880186186656541,12757836057039689272,11892955348771839495,1496785346072622102,2052837627265637420,2313114230118213513,6615772331770067753,11935610659560957525,1572690507224538636,5977203781399243710,1487629084784593688,3001714326331078434,512988334123001420,1282453197898190410,4352216118177589965,6035787921595010408,3265099048114161097,7074461449574455300,1151023904280279696,1097965868219268520,6862192351595477650,2908110222223493328,2315042077448174100,2436590473958049416,6485850852770994600,3217950225145859092,4406160201497411343,132779520462694610,663888482320610930,704618229829499600,12682953934641563040,1096594502773713272,6096955177669129450,823095087981686819,872464643913919000,5452829157456441250,10436764212977004846,1809776759606503160,637923136488829947,12051283257130520760,3121284279836718807,6052582905710337440,6621808718834243415,4304215227666047590,1950588850792667100,8145983990857314,162917444839941480,2036440125792037500,7422629098037907726,508577475269862500,2542852502929664500,5384994010532681732,2823970905468276060,4376065568197430322,6381611484898092560,5355270763955885884,3176537535545214256,4337582768998599780,1467840980916617536,1687816594877493080,640167112352127110,11039260382867091193,4626262356945175660,598582092393079137,1114675622135382795,2809220763830125248,8608103435641067148,6788370945154665700,4702123757148841728,6041066862910450410,653961671687150568,90797435592011992,453980962359535000,2585544304907719428,14340383721699266925,6612763300728717405,475955258620120724,4538069683938394470,6419038361749480788,2874374389228678890,2928912388344597270,242005816066681317,2420025052600878450,421200665738788628,1448193645460201905,11065627418858655916,1199032831725997621,627927399406486095,1409724597548191311,2223989375314194740,12430206853384929066,3305794618168907408,894269016646744050,13413851890654369050,1781302664076819030,8074788022134212574,947960008951857444,1493825602614077950,331657967069424853,494993686660473700,1414248354624613360,4637444773250904608,4640974271847532675,9341701697568496360,2221590803879524945,7754401609635337095,2711380554073274013,924145939474898425,5638890823074843425,13873450846618172340,810734610075616781,3233314430103710212,14064748474707810135,8191061388644505944,4025746448210895520,822232335460222085,87633590461459236,657242960855470650,1136580839686159714,1630848786376820470,251437370694585390,3352452548168833200,5674238747787138900,5380164216776550700,942745661999828700,8813968237289890068,355735481368384004,5335959471065805300,2345408985582599505,2657877189608774140,2179884927095861804,11935015250787084632,1275787789970805140,6269073002319702348,8585984304077445720,999652821264200004,263843291810371434,9146948561763801165,3446833379117074496,3193298112871092690,6385145346517538538,6069642361882314510,768358930438420160,1793606154823244202,6677169593721617310,9779760268884439988,8963382465539581248,912349438236592200,5931145249498307043,308563040981433450,4114117887765944240,2772967930093094570,680646015155221285,1917019792788927228,12586364176928702440,2275387552528413682,227104910215604307,2018682854133352400,2705140460429317971,7272749619266456200,6881035869460531415,402719787664212176,4027143119015994400,1016243561369034726,433456658725981590,2889671775993815160,13290546708842102208,523221873779520885,1103975092280071233,2453244643744323900,4583339139526287415,1059957654918307425,5229896521743599400,4879999871545477640,4944630262945362500,9115109511166870407,1602029323549714176,4575868574334481740,5708419070119374840,68681785150572485,686808525842152330,1534383651473119744,593753019101715530,7519991909104065727,9148515518647190340,3510505990727151472,10314854324628600942,798172702180832615,2280462489241027780,445572944335026040,1670875871209339890,3534367871874289085,585211667579810670,5937192684840224106,1532776224020945580,411352506080896295,2468081565688881570,369273934201089375,9847171390661398800,5783250284353091550,13816923560119470825,3829979879574725355,9418454585494137040,1714405952576831716,9402930908286895440,2172393353131045242,5313107480386354432,5539704167679564300,1356225161993914122,1196398865799493160,10084756323958918803,2964990193791526328,2168917341590464335,7105317827200137783,2826390812263071220,5844738506326704660,2082055161568448958,1835431687456236480,673972488502546697,1551462859327924380,5792965420211600274,13983393289817466315,7640866797627314200,11600577530907881320,4617869403507646950,5680476579875964867,42910582348317765,1287300054710297250,4290942135200779500,4027763421143884320,2327563016786993160,5660243706575748152,10715261136238238580,4527871111924022072,1599912584510153410,13678208538849916794,2475120132028293804,9296753992394820735,644231054282636132,4803857602997039145,12909658439651104089,4156843238450186466,8080877883331489860,6159582325428494865,5605618425248529800,2112600763693492104,422412569889910947,8862903613239132600,259528421305060964,9083372067967326500,38778517675833664,1163339820952533120,2554656763527888760,4721274839761352181,8133237490593798765,1412115069716395415,6023690215441312445,6400737101941200045,4439351620773620026,2967360166450285210,1573809814129778166,4014545041482005036,2882610506880655740,14252007087871624143,10094698526609491080,5133606728960837492,1499195331141529153,3769454733773340105,949842935521845344,5609805567715366500,4284558663040891208,4982471781415365470,2001458431904380400,882706654243489077,731643378638998375,5041074700888612596,613183928891411710,11575063612442461560,7584230325390446630,4781524435302636760,6720211288722841962,4460257536846916872,1189391993040636740,2709150840452338674,1784490323727605790,1091758256484817067,8432486413623067348,2144417419870377435,2691759120001346872,508744667816408720,3699908680775310276,8093375612993150795,2080179989773378515,6233700878927825823,903483977802199060,8961071762764225286,13241612981982539097,291340848644585950,13110161803314255270,15010116224750,225148714668330,6003884966496800,67542797429145000,525325803867410000,2251366026388500000,4123645494344849424,4790351829575590512,9062671867634976360,11327872368955747164,9706637837404458990,3226047481318613502,4697183470874238603,7650795309364066755,8542052037265704804,1750881792013551310,2653809856646643300,485554109441803818,735317746335410,25735775412615590,220589397731157000,735288116851358000,880632964438734116,2334148842276187500,2757041035957555912,420621301041057600,1940511222937206836,4846066329711069684,12737394886907243640,5442248438464064772,662529721479855190,1076885354313018432,6153548019821130240,5764342017114753345,1020460158090449405,4373342004238052250,90054661285449455,1260748346305489370,1650194572457401965,1942710062232220443,1622673665051930295,5003685562480131303,1413533050336249874,2986222533653215350,7837798970014395207,11931814523468864160,2498441631655896927,2004989779982780808,319976025536621850,4266289833196914160,7688025946827492400,12182906773994191080,3359759428388976105,1249849653092425150,3529291040912164948,4419014611394229450,2687180309209993818,7836816274363877895,2484699791667300300,8159772115697187726,3970399499118355380,593912341313784864,11878087807351313280,2344620776126326920,6568051152730540685,1592700465854414160,747531427517500258,3020903707056108408,550956903918917895,877920520238310068,5199977341344602655,3707000697645343588,2365221405450766330,4059410717706554200,223465049356533361,1235464143600585150,3979912104669055581,2651471486754748976,80647691494714790,2419398398447639220,12779453852418630560,11386194184544173688,10389237582147643856,421187835847486560,3685344311581164120,1658760061661990820,5481258807491006208,3156489798422117775,3287385822310779040,677123575272989775,12188061547295240250,3048835664899304860,4992104753648817748,5822988454821942675,1321899889456738756,215377933164294420,6461251726848234120,3567097417935931580,6016793886400038300,1538296632457318356,581188700141848975,1925656784539420654,13919653898870416335,1839041681534784510,3341322494607346995,4320445716727279140,11772320960638553216,847131409188837505,234192458324654895,7025680042387356330,8050051340018886240,2926092475634585712,28486199932330817,1139432804557784200,8627480909381850999,8101055244999164840,430162024137457184,5347993178450974590,1000080221666101530,1220138294092491048,7171937800098240475,7082582572297357710,11141826256635604668,3206014391205641025,1983167619343574664,441693385963900500,1777947448597541007,3237336089899690791,5482523154457150600,6352787157533269810,2790978122322192670,3087775611171466026,1196985393419857948,4551735982196908180,349373306006958545,2096211934897861350,3674909727489668472,3225167289751106856,1600689906623978240,1541307999202085268,3493958109987838140,1972350590321457615,450549488431923624,7884511169518323900,14139267402172259178,9373357903575834840,3272265245991626344,5157620629600957128,3635402089888428125,2084884668967703226,2197950428662103700,3307534858582534436,1733217885974115765,310564029017268145,5961649824508444908,2572084449056914365,3108491836698217816,6051996363817544990,5586888325849003285,10645921773020410926,5381899172224406520,534278383472597812,5281707665700629045,5239885844861718960,658167053123799155,365342618881722630,4871170242127587440,2620230418595173869,659554218055896625,1087963120922967024,9519550953991367100,4083614773678406112,1040196732307410708,237718257913631950,1524786753477328794,1164887670674834950,1728592330347928565,1138760054026807840,1325635843454045290,338978128065113196,481434095124022530,2407138553531561970,9392060905243740816,8977144356184020680,10738144263068890304,4046518841507348075,40853761450859110,612798299092216650,856352035268754470,8422643285301592672,5891717237543391730,1723293811345856925,1960175595011272452,5072337739687230495,6342939835025979528,11770696499631049840,1292162149556516917,1853248523911495112,2809143759881610300,5092881849142371882,5712551763641441075,269341840700293095,1795588499366520300,8164239899561610525,9006106848610161465,644172524897417960,11247228392042911303,6163163929277690284,3525730563056221940,2232494188869746895,4927991074998608450,516161808056037462,959144814996065451,4262809458575357400,8761222199086679178,51277092381586890,512764142920808940,858176771164184151,1246734518505865955,7023668605927780614,2047700035211163075,4339200729789046340,609628930136261525,1255078020425416525,10038335738001861272,7512484527978867450,11026064289572702397,8600814606949581717,5953265160541614500,1803627496919922065,3420768173317768440,2868619777209627290,896608659878216357,2695448585569273575,1834662347407435470,4423673332223344700,11027507147247779552,2630721368767971696,1404005381560023450,2265828822226085912,7420080537183087405,1422334018529809320,1316709414983236312,293228590641686595,651610492719379540,63052854146406580,1261040446970905520,3078721134300526258,6123624178786934575,3410685564613276825,737481250225520500,4150169078954334462,5540211939714859272,945776625091611260,5569565050248984980,3058496110779681870,3100844675054595924,329047518533300217,129003573305575760,1290018732687208480,14501170356478556445,1596087920120928661,7223744388779297755,3088856793494324860,8356886362014906807,8548579575941631975,4612652612261949565,9290518469808677400,2913546007237878315,105912844540900236,470717555738589600,1176778396364566800,1436867245199626359,10949411655848589000,7897290275099852571,6424284601569369600,7736278575246067755,1918600196577829362,6120693508971897100,1577721813508514126,8631083407934082420,10395956942489543404,3051656027987870709,1160711233300037860,45724087077031447,4115113720512987150,2695094492181409196,2306000185979391888,1855880104092391410,10959691321010743605,891274013044993305,3405199437306318700,1806678141856297780,3876574511844056880,96547008054791584,482728697231879200,2404359238974457257,10961128130571056942,10345515686466057225,420400628569067258,2939409287301851550,376756171745587362,1255837413538013940,4329219555675596205,7673139458812687330,3353456471771673580,2590369577131849240,56271272708496672,844058011448944800,5626979555451465600,2344730840597257360,881223853814386926,3547264034985772584,3790261758761123415,4634042695068645288,7657660246079517960,9079634254686793590,2508385055934613204,11486406447114832520,2928886566890842532,1254442177441471095,6969031828721094550,3135034805744410596,4682722810012409700,1358170067331648848,2067481072838197800,445416592997063636,11079913201807855482,5152399272870580325,1271797310945448664,1524584147917252415,4457246879292155826,1966115166446562092,810944309918610950,10512115866834477,946078037021617650,4204736209788495600,2531853441560032182,2681326793975308675,1823751529661536692,8717843260023688315,10579011736999391847,3807985879329006024,6150357022471097840,3501570131574404812,1396389281212352050,4299571745761790608,3246907012442751282,5204348361034566975,6645918374933631017,12950601591918378375,10509764970171557874,4634751092005673919,2217545468148686445,14012523999479404503,5355275315608829975,8360495917094357152,4711566146765606364,1409110326759365360,4817171981705738144,5369854739834775715,9823809463189705008,2008491250502961406,2267164135568622360,2228446002974565336,5911490578608633960,4732714962427742530,11296054867838597640,1234773382117459990,6439487278492211454,5343789890615810100,3071957255039764962,4611164198442780912,932278932893114325,6350521578766685975,1427435901300679125,8342446640228503572,3060898506952995516,2701452030540524350,5144497854081682419,884874499175203415,7171216773679823085,4579609751295791358,3861275222480576425,1281239666415803458,9241554009626157870,1820089180477935942,2098259397530854910,5808943982831335220,1236978233988722275,3454990783541366860,2346346920077518540,4141548919553843468,6237504532800195120,1470300056811120444,424329521080625610,4950446565605304190,1263711823227121632,13396057912721509875,2366555559818787738,3621372551335219000,4817207394069539976,9533252623284282216,8396480683327839630,4459558970022522744,11916649326115478640,1628198963848522164,6806436508252987424,2294700195121781875,10958277007413542112,3278446033367926720,883967306929916790,8839558024881882900,1225785646674316075,1683732264462770774,2592031420595655325,2901546630947164608,28067349967161588,491172235116529050,6314989453946199900,1735119556077455340,6685535877704868919,6012450087126728460,2727831227322673875,2508799164367025004,1443587412369055275,1560309950004233602,5591431927323159205,4579311447324379560,3119757272909763532,9533567695937394690,1489331152431186344,9084354390525740004,875883930345162180,4643412953711110936,343744597170794295,1970778734244994752,4644269239941575832,1955495378620835610,244896730873733904,6122338775346702000,4903796265364038565,1223517596831321312,7646885712620179000,5685124317101655041,305504498654606100,3818756672538102750,6007407881145986080,751923855438536525,5416876762745440590,10620807781768366050,4307574370209578744,5019855613380533583,6758741023181173215,6445599660628790628,5448148042848324650,1243382784601343374,5861226531952691265,3227180367112491335,6963661895309932020,3172344001969284240,7377572923214039312,2356991216426018770,3669805005681796415,416625111775092511,2846945401570052340,5787043714656053700,7994469889330748810,3023652670543336790,1924046186026084179,11115256522437373495,12621495960502148619,5780041379370689210,601692326428157450,7000012592479872735,6795895430643255300,406176925213875438,676952778949459530,1008277986427317840,865506011435643564,8654948105015154600,14026782329981065008,6664976508472662606,2917507122534294080,794071591288267481,5671866564960215750,518361411607673058,2591773535728141290,1196978715039093350,6962952893869688226,1740804579773732025,2388881655512149932,2092465999681215438,2442137007485053440,401324653586909620,8026389326581514000,2310492142353535284,5713983394869023082,6100102356692384300,3115829601469170892,8147734906169602500,1433027660465254984,1467388734929625592,1811161200683019960,4066829962141458460,2601451622064561400,3036573629644444856,1160399953332462976,1957570112620740890,283138275722865304,2831346206384645200,1295340261286200792,829740499878008808,921921990318110800,1181157129032655385,1675328287287858015,761713747227848107,2373866123367239652,3699821532001399410,1343834496245463761,3470742114983272260,3848659213454587908,6337638516656564860,8263636517824259250,5480991964798468716,4392261596711083500,1336472644319112624,2530001031581957960,1904330096558998280,2319312390019305651,7811479681613803020,966443741812827432,21018841783150074,35030951613515150,700610005974123400,2020884531741847590,1279807860617662079,7740643430742773915,2034528743438378830,4240705225373468576,1918652297368136980,7912551173141295440,2723640889604140162,1524250325202356580,10739558522083216392,4788439779054222655,1238509312111548918,2743502148238355754,2220933099296428750,7316695748845054960,1029684584596708950,546481659835680695,6557695559422015740,5154658629915973880,129585392525862704,2267715204514881800,156678126034896468,261126852315213180,6027342196358325990,1621990466002008448,2524952474192403810,3066562309947587000,1859889031173261444,5519305829531178620,945655171142412666,12813870283149494475,5541395670801410888,4005498070040038128,1499151419227340520,2139715136152339336,1589785808726731305,4319904020286471093,4761161657080462284,2826040967173175350,3837726360135855558,10835773928213389925,6136323505605560046,2357439166237116496,1074726737681537735,9986958692480437668,10213942771749209710,270659127884990782,9472947922271541470,4099873109163903720,1633872572759926352,7851484980545353830,2079776330169960975,2540900161059109230,1844904804494149335,7206541883823264619,1317640649026608280,164129475706371676,35296980284152899,2823722223242180400,2224154895219362098,4714225302232635435,6304166975443504305,1367055671760683663,4117778251648733250,618863036606030235,914076545552088450,4076223444818145744,741069875663409032,2962806988526908140,241517944314514322,6475514132613909240,329227956836693675,2633789929965181400,1294402050683527680,61774194711781435,247093615704505700,11119070379135338100,7807849262212000351,13685929087846671540,3026699744066670532,9157101379571648880,831392205597585892,4256921595511106721,4556904550988155080,2222080487364060759,6896652806352792910,879808725716678296,594133722028872669,4500971754907509300,60212564535991436,602117947184335000,1505275624397297300,605247728960441021,7420136697809900610,4520889070048779436,525661309910947080,657068240932555530,899876136040865616,5999097592793854400,1103057079706453226,3499675883089687525,1157942691778732532,4872413749639277785,458050045668477040,3435331473317071560,432046662053054010,1665706364622309867,6636908802543506613,6681722542315559690,13685868233317326735,2286993711341036715,6018718517575981930,7230166863015617667,27845391228796875,556900718984179500,6497092164342062500,8803301571490889015,4028309172696005349,4717838132376898480,9747992457453531879,10825767264521210220,6366679776998232104,13857097973895116694,6684854981189834295,9159973720246552290,5776375542006696655,458111218536479810,4801905468471011593,3975279381328076010,7247530712742977964,6781683852543756840,2273518456292979875,9366718320039467296,3818596239969955080,5135008568691005448,7028730123012780,70286406109928760,234285036924497200,7028461613238900000,967774848461835398,207907446084924200,1039523997386046680,3978172079515766076,1920136561484861520,6383975258376175108,6088724933052110180,1568497074827954722,4277574886402782438,1425510225063851420,12799735458979863744,8335095211993028880,3177741092622756936,6777097392697350698,344328892114365060,573874189589040620,7414104653442466360,4991087487829927260,6250326292370551615,11458274054982615315,7520221880466677445,3632715144115444530,9943275330953968536,8415083797291396561,1589513568108789050,10726283592632746026,2667553611231179025,1746020699974253210,711372393111045395,3494094393932960650,2866834007409812040,2767819105472290695,10869602568941440935,7666445548043871417,4501398244276607625,381491169470927542,911611440305607105,7175627151534343195,13706176880718549738,4784347297867555890,14039027507566419822,7005520781973855510,1806585306336603292,6547842524997373540,536663545200550080,9719150697863159553,3536319060773615760,3949532748880818911,6657335253944898536,2745718904206348875,13027353258019109913,136046059429063575,4081330049501371590,2656645603603750076,1829994664623849840,4105737197985830322,4301906380266574700,2940164144702084325,3212736507754686081,7632972435747411480,11571017885915229558,256800412478673440,2246975151820583240,35092303028463582,194954770418468500,3119236832530491200,2772374981521238520,4153000137253956928,1147355423239215081,4949507825605447680,12403759957560197649,8630828016987240090,7877694199996387825,9309327125206682777,476557007283963450,7799859829038916370,1174784605642604125,3171593501664576678,2866788203446228122,7862721319210954700,11711121732974372877,1528116673037027920,1844967944552286354,11778407418793739592,2396356152328090680,9749887483427294609,6647199641644926780,2926743077339127228,1898828394155505729,2029189650917999740,1858605028353453737,3158015195035483995,3648148794118384976,8865882928546573480,1467909415787416280,1030537953194402332,1947937547463202190,879372856576569628,10049848618602205120,6730859895043445625,3860691467107233876,76304449807714800,1017379823527597440,3764861865361262876,9807889080112162725,9550406731201654448,1445736744327818970,4100539952405272430,1142830985963764230,2420908549434954520,7120185049508565385,8543208361837747980,4267020651512869836,9850565157841828784,3768662602323437640,12135003591508080381,6008875431985363230,2418908446111498704,6514459455240799794,8722161818046695760,3741192690379332657,2515233066296466530,10906236171552053304,2454718056835705986,867006336715883125,1190098544298965163,6611575306166821250,2046227843023669660,8001088761758081922,1763203604320954250,6460983775980558280,203834440554549075,679439582035003950,2327550003129016416,4056293086826612580,708358711521289936,1016031825636355710,1653288553835107902,470937230329541958,753181121741711585,7881268003190157086,341367987630893685,1462987260367262190,289513473301288068,2895098325861804600,3328946259913238912,1893533284520665650,13990813536999407121,6801032863024548906,629970192501222625,3779773647410648370,11123605159915780200,3283867213244575386,8033551406778668604,5217270366100459140,4967171569319117405,1309676656938925520,71924346470925018,5753875448019500640,7091662653994527540,10327206255000511156,2062035813180580590,1173290482826989540,745559051167275979,6309644960178553140,1820458741418491044,4390074522490201900,6847880601662163520,888453460245109352,4400318191193182125,2388800731616924955,3118484604691538460,8294458360199615667,5791829823229339017,96599428680100350,2575952458211169440,165937690236388050,1290610296104294060,2187132149075089671,4976671434874284870,291093111247045555,3930790884111461565,297584580821722202,6876088192933307895,8526937672401170130,11772021372783248360,2480527913146927720,3000220782189303818,1193001101016160462,10471672060759878345,863783751313628118,8944029873096641440,6309739159509272536,8223821507444523846,3612939184732812760,1030483329416170395,2810890543188228480,1877692255334286348,10206176417486779079,355275747912304450,704425398052360748,482433967994603625,23648975442692907,394144659562325450,6306235662491596000,4446287202092176884,1258804650700343985,7965943652271846304,1070294695785515202,1837321713049479150,1897989843542993416,1544855274265797770,3144808746773457663,4413123822496062520,4957723777442722650,1052078576859430340,3090700671988832145,4919226863496526308,3139095033508992980,1478501492739977465,772359374577622846,4634619374886771480,221561749113800156,1231599412263154478,2717219504683137250,3939632975143120330,7401234136725323000,3644023884240515139,849484393857759548,992773042815428250,164852327883363471,195489434761219220,2932304928337893540,265027876844667681,883415233688969450,836289572351854635,365138617462795175,2713916520513231888,7944938859770312868,3119437824525370460,5029530626800341896,9643578469410198985,4905409542770563010,857404671988558616,3264683776613450430,1286037247678589482,196689534136104780,655623609504886920,635957347918328464,5564557456144151500,1552263109166382228,3388062989603862225,593529978069522678,2967612924890663790,593779039970278940,2739412830386921654,2711515244628946470,3128135052121286895,7491911136772117536,1973287452462581850,90666959705080564,7253266491168193600,4285631991148317180,2239982628087342288,55721395278175960,417905264530753140,5572000866638804000,3984837754522030252,5375251778794890162,1928551098609303350,247578500171034460,1980603369460392800,310012435000184414,12400343209488454960,3333816652137974025,6080242235898803488,6494482450734867400,248862671565413310,9954383140654736400,11268929750378005485,1330295541457313089,2054850199441021960,341217170576328137,1934454303925906392,2203167418919636260,6409659172800192669,5093294132698236430,2645945691514354368,827230928274653305,1678963723390942050,10798039079609578713,6468952716253840440,752071179112892600,6580541136667090250,1408773146671530275,10405617241386916848,1981479043564218540,1206597839572171578,1238022405210030627,10729152570733213275,6599962206555131601,8462241336018502350,9878985822161661485,5308305270442753208,970343212602559320,57180225457973631,2287180661458158600,5541143796532177902,4978518246213057260,10076689070462134440,5637154633425218156,6541971437777730150,1498107566398316060,9787245331533596283,5988816860016304150,7125855913406005281,1525756740976031810,1752180225509630282,6941582588111416245,1321248643395914870,429430346927691036,7689967227468119230,2797198990393640588,8423828706603514204,1698829991474736350,4547083707407311875,1036096176655223500,4962426366694495745,1354039438238409616,1138137361294333740,1196833296894330988,11155217458394722440,10465695625083916518,445175199096681483,10052219220796163840,12439472133928914801,2082205498872496460,5780220233511258598,1349133098292995675,2201493670110101570,5690138919015642448,8673596093220810720,552817069376117357,2369186734323512130,4522927045833301560,5599433380968829544,609813951703805730,7836479425920600702,2539537239316596318,9795076457727897000,7439683953414073333,6266961445160798400,5168579929383132084,3140724029963329425,5959201740623845740,2616438281501119365,882720369301131330,3657856816685104644,4051709463154195572,4919398810214435460,1349431908540625182,1794340371835096450,789143527249789716,4509861935798337468,2256744050240304480,838146126457171832,4190678951865336200,7159719573293320432,964968197636934285,613764274633873920,2045855694486389760,864028831168497560,10137780176868420282,259053069119862849,6044497123877227750,3255037192195824675,245934457149865900,4918628544879078640,4477592492260283332,152633362577954535,1017543217620575340,694582563384078635,6945740099687146730,1713246162095426270,2099261735554709070,2207713690123203291,7781716949699901520,1330053578841647286,8866914724835253240,1228496792431226595,4509879481039683220,1037338647051388875,6356843975580282432,14042401898226028164,3704550983512023885,5868341093368473895,3933944724216325455,6646558308524147496,1305894600547638260,216260359946428200,2162577011021455920,5764074910521937100,506123875321097110,934361977730504569,5449886244529410700,2565155081882066418,2847873198510293375,907232911255433867,7641035714208850205,6694897558874406700,1862755683426332928,2841802256875895010,11523506753222066096,359412422034748149,1996711159621490750,2404173801614094942,169786021445945625,1018703623009011750,815090374880585512,2650729683508305930,7356254799533791704,8713279031219836920,1316341779764497044,793163556878270144,774139658639977850,2716241962645425136,4889031221654410800,1356042876664382520,198592727793049238,3971805850292607800,1776045066182495710,1803455448642340050,415550310498704758,7713399339133995184,135833192851569980,4754103482521860740,2045866742317312700,3602250147206073832,4111243014038928300,704853774360579360,3998666127161333688,1694598269438069160,3686499544651989957,10080714404609279667,228840103617987295,980731291994738670,548066593628458030,7046484219638688420,13031542875996208044,971051369062061800,6068996774210957150,6795857569312914375,546579867894756816,9565030647160369080,4511678511581781800,2094405161425393190,8106857343716438520,3094980512317979355,745573883747507304,7525872146378734820,8263128238211959154,4470775967539319165,51645657422348208,129112565115890520,1291109868378018000,527907767938831196,6033157896405668800,9291648894623761888,2698393220988427098,9151768444086564520,628929417625936592,12397694767726639160,8001231431340125377,2129487646305061704,8535909299399521000,7705900046065978484,10076483190451952050,292463855277573707,2924602847089497770,8896239108547211610,2530080825549688656,6271441341554962820,7957609813395435246,4546942053949710738,2413485387518678055,8695947616110612536,1302173072798323460,1854223331530175424,8434338076286456552,1951030544888732320,1127230177738818972,568372974527716030,1247342097316884699,11807892972757177317,1820635842304540950,3618941423623658192,10678407116350598320,2370874649034211728,2287999697223261114,2514550341839783175,8397046853694145829,1670884839986397450,3062826841090514600,639938127898996888,178267447507627040,1114157977728763400,5706654063351021495,1558059326611134207,2465615297109268902,8181746906730929035,3703686089259774373,508558406742141955,2729007525389653953,7190566888645670595,309695590117588185,2752816194179498640,2023473160257152240,7482463644643777512,2766098221845017770,3235833949185893670,3666943862621271006,8524170637158788920,6549893789879021064,4059115299945003342,4675701272868396600,1417350079788388588,12804320004973286400,10334645956679515464,2936462286854124987,1007354794069649740,4087365403631495056,655900678880846330,184078767811954096,3681530633418627520,1235347957267180575,4791005848337913596,821926567814868845,1757625437950063325,7338136326822965192,1204676011489170025,2675139138869275047,6645328467038431625,9153709697266677270,2743513686649390203,2355070322348307950,5588863229351855241,11435592063583933080,13922473519483716798,7900229980001108267,132223275606255225,11899950469397026110,3326751002270929100,1565793271384717778,3953968064647802403,2167203701475905550,2295640470059921348,2927945119324138515,534204424741828864,6009726939313936320,913899565593619380,10171869471679293259,1734326334666106335,333873759455120809,152471439109669288,12197567373071497600,7272849595915685704,5628385303503674625,105384567718173563,3161498748629918190,4901094943534404650,488408707217511724,4245277237305505475,2103021919048463740,4308581437356999033,59868985500496025,598682610142913170,3421002091614650000,1764562295204871435,4413329507082882828,1476364343371710120,3427194532324027464,2196819520372604920,4282456684688225742,13795783256864930508,7952724607504575080,3077224095497186176,3305723032030003350,481530258179499152,2444973558052256427,1120527494112304650,2199445959336772456,3470102885772845595,418991693748498353,8038373998952578464,1971011364889424520,749899810752162705,11998252056679066800,4658593437157808547,855895979550828678,11344794874108441875,1458374327043678069,504277570346101950,3715982805302357956,3984397234828558155,3798043301285967370,648798486524863031,831370340555707890,8313603095068454820,5114953167082614541,5628473638671106860,5678544770814660860,11669442017366145840,1028400662806376244,5872921494711023154,1176486145443038300,760831911435900127,2479712252570678220,10031171475773569784,4183296503299681809,9662973173128641520,1868916963762330118,2768975669263933750,3326669927912388006,4611045230418581082,2085023163384922050,4367346392002200360,6975743828710174875,5532823491929827464,8775928049351710496,2837434227024914140,7262029193088686380,1778734939553765055,384562379535740399,1986131574272633424,1013472939371881840,1883846693015518374,7302866692029363875,2523112249700620719,3635259816049062327,3903294407006043980,416644149453632464,3441074520488088155,1268803796356460403,12687885381325680630,9555219355236590980,1835705519209837632,2441655235927733150,6405827173089916698,1127372305664791104,533455218984265100,5334488079772950760,4232771563288835700,7635206220187866642,11098517513994264571,3065100422620281010,6019234361176363158,1451929783718811540,197355201649444221,5920584948371872530,639813788672257680,2165747047142678148,640609146416309805,370497108776396994,2881609589762082620,934188007400905170,9701959116649498475,4522759782260428280,844738827303803165,786879202775456952,983587203477116550,1446990931942045710,7817441554859839170,601487684027137284,2832800579800145698,10051784167083121050,81688604595375246,408438126170465250,7219846164016940464,6420996338350328850,10405858869746495280,2129234621251715095,2153438438658295120,6110402864958871570,7594857840442708871,3914739110979278220,2905091767292358384,138997998582054210,4169890015304428620,4355170303156429494,602361006872009595,2920175802646592259,8912806572517751520,3232442857421319606,2872228905441125426,3687725390859881640,8864023641244615025,7643964751628883825,6809907140979006057,370336185125115768,2350368784829450475,9189017750672354043,3335428914929882500,1853877539324848536,13493955188119347711,5435200567616798840,3891143119298998122,5713467864151826050,2354539095506974024,4058409493748633517,5637364789701931090,814355790185822360,6107595439967638500,5101176617976462352,108028000897768952,154323871897452400,4629660852622634400,4481467474532796740,434299253460334038,723823444981498830,7898776498842574680,3303102966281404260,1536079736057852375,4446159610402783107,1529698802907642903,2959562181524846625,866702869586279392,7583559611375251000,6468395171888626370,1518930292585853644,579937755172841245,1029554941862647891,6804301860277641720,8405079865780448172,4390436452590210115,5820908580580377375,2198216925305989710,3388301590676555840,213053486479648581,4971188761327283390,3713123813507445200,2134492166638220616,10206699822193498110,1489668821044175471,1615204580736126507,4304955480953941555,6904812313537424405,1092543132705165910,11101816340260892272,1160491052217605772,955734965954939150,60007213882141266,500054162299138750,4000385676343646800,1855809134243949656,2921082327608629380,1801434178547109018,4238787521217962265,4241615235104167506,4270345924878234276,3038735496048411040,889348905923437973,2840186993745708225,7603088067604865225,1804715634343467482,4308400373339044300,9882730468642469536,11057504924689128045,3484344639810143529,1469861969980336359,263885158747918930,10555280908214848880,3846471526034770080,243978876065728962,2033133145080205350,4440237060479143250,8415329250119050575,8430102568079507250,12039972928322754438,3993062892004249032,299062092390942980,8409680137872921222,7826049582231124140,1327145851266827728,839965789363502628,8399558202523543800,7728452733985880736,1527574154221716120,650666537751808914,2168862727477655380,7868225135004840060,1209854776922164428,4276360459818435150,3653342206750103550,1322650520834382817,4133465670709388720,400702899164264381,6637124286797574720,3177439135430912325,1059541361345677524,2127208246134812100,1840573711125817270,4031609043120727600,2464011465063982353,8044535711761973123,1489674413376838260,1094279600522496008,4235318770364481990,4934490990934932882,5563286982546559168,2401292493953972240,9903513039236272808,7563163833401708970,7432690081233639365,3990341447409263597,935424898849300955,4237719724785181635,7096057708649286350,5942976437895348368,4503644940676000568,7782984392902050735,1413125697003280590,5701950518125186640,4647767294140078416,4180609105653552228,9840379429276009600,10651074679034775531,5023499716385247125,4943957290706153676,2096410452537372335,5627146420627639180,6817246652782639130,1860463665980957880,2724479009180430530,7347471382327471376,1244449407062555775,7972707076881830994,1753014437784863190,6477674648764820202,7612256452543253784,1571906749156480345,9998016519647744021,11060784059396834490,10574739757607159757,3266019913573195044,1130547224687012375,1346635415755393614,3057378631859469040,646253013035097498,1005105927836009664,8934169527848320000,161955960813939747,2699234179815696250,4448834646144646009,25010752426637730,250104575468221500,1000406507940567600,2154071592039097935,7252733568143286531,967716058147264680,4838523270402369000,1967761639249204598,2825900424221265540,13971784631511801051,11135734951170099429,6305659504566601725,7497700774361647945,4963079504793648595,1481353183709602892,8459199773415630528,5250346245850599150,976875014946298662,980213616896427480,4316301277439345045,3481848193898474175,1844352290026752450,5544807589525287604,2328987983934930300,534741975946308923,4101707220111682909,3294510431276318505,1458998921487027752,1530627869255855225,13267453571452461141,458085586355315221,2813520353182577360,9599928207351842472,1018153104734437480,2638486631964126056,1738476913519443552,4482908040191684425,6186994102569359430,790193493168692340,13989196865216214684,8831842145023970527,4526784114959941905,6462087053311019624,143528080628181775,12917375580334036950,143263591430413222,3581547739163108750,3264483014928908512,1137957827110785625,3446017646676463645,1090574475640181532,692863865698211835,4074273864242659966,7423430789061105455,1085222720059907204,1332657564317053294,4437848902698568140,6320401071500201124,13699406146710713985,6600231223042846557,11971101463461922040,1371084911612042530,4076561284409793264,1681835663704385475,1717373329912264392,321782493895552419,360391543144549280,3603873207746902720,1332124783531246490,3783507839035229592,3093776195286950514,1192213686642580575,3272774528699157716,1253225431553690625,920201002982696729,3812677742106673605,154480225200586480,772392085182292240,2068868203415312130,1103271809335749872,3516114373577403867,3088050751057809775,1417813216324893211,10426770602359916910,1241796414347038722,7254301951042334535,2110085759362711185,3034132225795073948,3724197026704363230,3936749202510345819,3479638912915251536,3533062820060204130,4728727489267927873,823547863743914460,6621945482556903086,12245254097031982600,6204461175845540850,1651768722860894744,2309091473302018125,127149847377233908,8900385367896343160,202504044516370520,1735728685149819360,5228658278876898020,3089430559278508816,3452257854640089690,3371556323299248960,7761318080698295559,2782539350822295900,1841940564415790538,2766140963255560714,2292530820643893660,3275159088055135131,1404083021699845440,1509263603732446798,6586503750226591048,1529111005345207375,4418287626658872171,1835223128670182420,8503383886787708688,5956777465037031648,1247242234232655750,1480144262758168851,533453720252343975,5207324871847867173,6180126787444932162,4731276968329378320,13899721671540937332,3530909822601742035,3365736981047590415,1171982628994384998,5153629895894271610,6129933978580067808,2822671420135064040,4296941935738127616,1642241837813152712,1714493057258917950,1272400665164194657,261420383299947420,1742782277709250480,5934533187607408890,2322189245740593255,7003457710802852590,1327201504570812860,1184914293859767744,5848907671390302285,2413836910036556300,5119646545256227844,961229484750109200,8410660226591959140,3685539949572851732,2579520828557331750,1973068078196988054,1215025491238898910,7924999032465749442,4243165490655877136,1649346014242065585,3718490806003154155,4392899268321571560,8845352487373329324,2882434383240741486,100328621391523710,2508186416542442550,1050351018595707180,2082579688233643558,8149901282607541716,2265477107862525150,1650177768620105543,2318657354405432985,1390907007197650566,7400000473530668952,11179721840118599475,3992693901859179867,3802146259790960100,7918583551637755785,11044516578209129337,13668010402770941895,1855274773948632186,8128599695206186350,1746512937632764924,1622294734681267530,1521242795715742600,2221134664203695499,13789340577699960,275783616746813280,1378902111438986400,11423847392835013360,44862052932971906,1794461337533582800,5930573633357711931,1771917225794927022,5683317737519178030,7759356425794498275,2524621400826844410,7674580788236522215,5465456901824538955,11415751262134138400,55845165392958332,837667790191636500,9772677839710380700,3868905939869282256,900715903762524640,3339519547874597835,1374383529572233880,268272730015198038,2197782824073895478,4458203092333016520,3639545210271932598,7887532261956610830,4282937596438344558,15249002475516834,76244131453493550,3049730025027572400,7737618750448249560,1133804514184376160,6155648594044682481,1515348538024178010,2402780295845213608,1419873665738810745,12241462262527090736,1049877011797757681,7980606550037307200,2848077554958485772,7898949366485393750,4639800484554776223,4859485284099013124,1064627269004422115,3437203549327614696,2614660547318881845,568454204789710808,1868866338542310914,4282729081036857825,154785967515211578,1805815468185649550,6975023231168726293,929330042072727568,11840961141687841360,1104101520387302806,770838688941640495,8253383852114700036,4360636003605503888,1402582146645001930,2721258849511110552,1882505851416357920,4490877409929393195,6495767624804315949,2655638802179015250,6557873868506778055,13078675898825457375,1708103448397311966,11374409880736688961,4672002957682945395,6633224704898685515,3617219953292554140,5119600632643626548,814313685720296052,5428695457819258800,8178646172397107904,4692374376017357900,3255336551914405465,179394624722203926,1689143324261088280,528640371817035377,538104002314182745,5062350412183966376,6318941948710793948,12423580951041022760,11567121352700927787,763865535235220440,1635023526211026695,838171685801663584,4190810292707428000,981409443788137142,2230163730930187850,83275903311647592,832749471796467120,1997359210978596980,983461107346721164,5256905409754660230,1698262080618342070,4053184364726226765,7300576068732211965,934868661035656752,10056655544110042175,626018181720340955,1252022002364441410,12993998275555156305,1771361549323157727,2315188886969787690,2082167864720799624,1222913285265653272,5471132978007411260,2039838371426093532,2117599219705670010,2919399988880485664,1939511366976784552,204563506575437950,2317413598449454635,4411657592141219700,3732183109613346728,12008210937101308384,6172671507082186040,1387597790103183658,4878629821843649360,5612101658711070715,901122057693582858,9011117431021569300,2342481960509942139,8882791311537831540,5105509108171648659,4635213142705596035,4082830334081570925,6680944760354389042,477563697961930710,2122481048503462960,2803664931601564835,6033377384120950955,2840711792687505380,6972330458796023070,1420022705427526536,12370913806021190336,1228215142975762075,8471933370302490753,9279137748658637925,820193666010126704,2349855870897224280,8134092944685377670,5423869440142909956,9054713379958275400,2226716341973108307,5355414853595433534,4072081713483723900,3455567484076955460,1755435743727435420,6642040347911591142,1581291273813702164,1579920270662323265,12530982620295155144,7155311779924335925,546948316361411237,4688074944563376660,11904285847128008960,1945049398217836329,1265879593460861040,2104407516536458,94697258478465510,841743811845020000,2104335540143074000,6205889701593304500,2567690792833603242,1306032593855217270,821905006010153720,1420812127646794311,9442514251563276360,9044718989845729386,5067784331971252746,2704479694573750875,1997288276378144013,666887501111115380,344763061232451516,1142437409809925032,2856061010758774700,412379299429838104,4639214315708566650,2059334187339044135,8611374945020596632,579510658775048910,7450766557387936380,2620099648425838075,2325194933283231152,6422927252280551502,7319989167872295000,7940919656714843533,557483296548145350,2413291155764330818,4005079590802218292,3170193039814455120,3249234498318690246,1346654496187347230,3284787446137839408,6612723639413949946,13892160589297797375,8471393317349888191,3113430282836128335,7157003561957484992,6260667491200456410,951185092883787560,200958565388381234,1148321621942263600,6451507954376951795,259253973408131702,9108686816139969045,3828911462024310672,359125103462843880,4189745334214434120,8709370454665638009,8276437772734318950,6907771239934969476,3154634592708453575,8075931658855424928,1635104629407488464,274156818151908575,10451702602505631213,4410711768319161480,2318172789535460091,12657804794650181754,9959227831992161940,41872383576993711,179451039163711950,1794490060817283300,11171566008426119373,12169628329338521505,4405970128922480730,2734923399537125325,3648594688170403335,8814527999095690984,1538118080524127080,3483875682960394449,553134511663840215,2374454640814385211,30371821114022630,303714774325352500,6074226757899058000,2899937303760391275,187289344133551184,293046962511821259,6753145275607705225,6942570627735236208,6234053380565383400,10314242968971725742,3101054778199537146,3004482992782912515,10194025733766481716,2150323211144102760,3324627251560406787,146632103844694998,244384078480469450,3456808660938899628,3719790989388868625,3363589950415027758,774687415367124415,4648072000763777550,11499318841715906067,563379458093180040,9859029210677903340,11587375525643913856,1614009265209024450,4442209687585712748,197980160044153300,1979779260506789720,422509451061338914,1066324092473297590,2374118555231896564,9578017628086445720,6420620274994230501,2551521242511740750,123283829960194670,1232824399580593060,8914136481757744615,402343623668905688,9052629495637069980,2916320097196973050,2190155871063121882,8854617995190704040,1636083208803866163,6445915696105634943,3382681955207271080,561226836346067165,1750057656741282370,2564954325685993995,5891718696687859905,460517317478573700,3617865027331341185,6438383426166490750,10422612115961451640,1983218842662287010,808559898263544190,1528111624451606200,1656184968814057525,154606106225827568,10822305698660358560,5003251709117837740,8737911192153568074,2831130001407560120,3431913317909566272,1311361279926967356,1692436657831645880,6712145734446375496,2979421719300287850,1147948685560819135,717203537624157509,2572060819976245710,6122492490563853885,2441168544948814650,732454831245267585,2929786418739704940,3091989996213685875,11339920305500670396,9300520053191402550,11647048965796370619,626188580771426924,4657304202244412985,5272301251119295332,4977939961761274710,7161504162551665983,390760177799269590,651259656473455250,796225870156962112,2473159751164794510,5791343885424340728,1457997127294902992,488360033984186970,1726989064367626054,5204819799555202575,7856814071837448802,1234226055852241081,739811291417987820,1627906151838290262,1134974391876931645,2722820820848265357,13024672295549630931,537248441260841050,7756774959707539759,275174637893953800,2063786672853887580,567018304210349876,6285145265074499475,10668408700970079983,4153818774819570380,1833128603691692888,1275740070574077435,133718616993817570,6685856039105455300,748305625625745680,7028488364085297096,6020222514503033727,3398802184447442010,2482926469847248776,11790321310296602760,2150103332743346604,3209237418576143385,858714408142255760,3220143035918464140,2534612190040070140,256074847429211460,1024287943783483440,3495142238505090525,5825021353689620992,6794376462914273100,1682759318969078238,6610461930575246072,750073509432544350,595181548965961864,8533599885800279255,2295926082558791286,873735395396329786,1213624982470421580,2187452611069176178,2944685128477039720,4735999045284977529,3709081861471740299,4531107541130168440,5589799294987855986,11434689322879882200,678683795346017517,7756299736885408080,693938062805243490,735793026343326077,7340804325890920010,6138654370608765444,2302334098619461842,12288694698063037800,3108575354337378408,7188695000257518800,9898592097211765515,7676542378225298320,3475694564224073115,4910340045141613611,5071698691138939405,7494515426309329008,13343776687853168445,2530779526732049140,74801377984444632,187001363435526900,585966834863849698,5411238860617736356,4560760845665661650,1236636401709567045,6638259631164621025,660998180941313502,2720625757648991784,11567978337602072840,535981154793650566,8824195589681635560,9414707307993480024,8997937368788922606,7246846387441214775,1344439947793343720,830138971550073000,5188310915746453950,5496800805296165484,10221410077819173400,489210532136795418,432058910632631240,2700338198710210450,1341385193348542754,1601425698967845240,1700614547755619788,1240069109386677250,13235066582899451823,3615377620343899627,1305477239924745015,5992524934126012620,3797632050734049220,210432848858141304,2805740190011005120,2833909918167640080,2726398397876383678,6677856042274183410,8913379094610302848,213896548203202326,8555767065554610000,1236526807088819142,7985075687184490050,1395680510840678124,2692636949837421184,2132108364625421900,8893250874165467152,82766755452894935,4138291927027242650,395471303154133595,5616070580167560660,710114093026999625,5680849835584135000,83790745527419455,1340637085556659280,598070096622302310,4983862304379115350,3578588231858151330,768141908143064334,688607672668616648,3491709308855286120,2182933402466975802,5834728062817288080,2418115889288694366,7026108376911299744,902912915756239375,1149491016615479535,3244859944403789075,10386021317349102516,2617243005049302204,479366574479866060,820985822816847737,2646014183351902600,1091368000583397096,14031719262662487120,12679818300741608865,1482663294661883686,3870145391800045890,736881339623601030,7368732024490470300,3894283189504285305,5017564490558322906,1453108760899823325,116807232230138177,9344475442454309360,4559987430219141795,423915268855149236,2176043127262560580,3567367093320926735,832625825526301986,2243581178409573125,2672335096150559128,5305200898335475200,8939162404428926852,1000361135005824672,642929012247924115,6429219251063753690,2615310933468080550,2841611277220040172,49827167332036235,99653236611052450,3986085547382032400,3080484913769555460,408292057411116787,7459053573353793344,1447566254514681375,597185605696767126,1410700235658958015,10537985180150086134,7898910437121533739,4503780336872902375,1131833736532830935,2339641813516997720,4048287576026236947,4467774682002588110,1060169880405913625,4605394890610456768,488209486428418825,471085137600987351,12562132191305890960,13749893495539089795,4411682716289871172,9081141270779370,272431243471807980,3632376655549298400,6953273940303961150,5229875939214412784,2854551242040209280,198238034014218702,2973537844635097530,462904606636151610,6171993634027344560,3770870822954129505,4638656006768375469,7736822790288556986,2671940870685991710,2788195580176056534,8060524050022236660,836793357981227372,3462458521116316155,2001995846855879175,1949427043058792751,199662313048728250,1266088095255954267,8569105394972573024,6320201584073590850,220520381665125380,2205179637449017000,5045359416211951512,87570381809162260,525416531616690600,884677417325416785,1169513631101459310,749537544991016378,598882655147766488,6328333366832947775,123496018180687332,1234946655153203400,11613812626250887416,1742223754192179855,2015113577019599760,629889712550691762,1576095941174059335,3185490585708239982,1172928050340195214,3425996734735346625,3205104236141316072,1716041173829176600,2837633710864957100,3987563483795251130,418033417422156100,5225360567384103250,3018527313449791290,3703919310648115044,8706114504398497602,3094652388163617315,580918092730465488,5322291640755938540,5710678817611504656,2527394698686641448,554885912429071575,827047470241722171,2405311637258341650,6027305839004425976,3705078496451187375,4458732333511052680,389675079783532137,10391222002268073200,3586609295336385468,837518908541578278,4556573901884908125,341569155016897121,536396606608742200,8865943632916005272,531624943898627784,1329047860518693300,1402118299348486112,3221759014750325790,3891989073077637822,10594525486499951382,6807887720701912845,10159545439679863344,221685022277695160,1108413029388634520,624195988861545837,6241891864701433050,4489861542983130496,600677847667043300,8409398251089247720,1998481739600343546,2758923418835067900,797580563138736291,870353172489742600,4351718477697502600,11512590096914512592,2075212213526541825,2929799357692112148,8249772241793508400,3489640366962962536,4288403821038482925,1420949383136279450,7305717421956451302,502614036600233450,2819538792231642117,7662315267722609425,10494023302448764965,3239411423049557145,744959124558329560,867799531911482877,2639079417139857978,5495749348358844270,9709997649487789717,2573866297136701540,569974122027065784,1276831163951834009,1105450595651516940,269423336871479167,1121246880761985445,807064137529892292,1778861483019818236,11711641055323910400,1718727812037061984,2302058430602984900,2000735487495531532,1982899466563538509,10078897262623224360,128451167825111408,321124435512387800,32835325342354239,656699383480593180,827944036366153380,4139675287392906420,1217158345993410080,8138636881040784391,5560455055974264657,5841065015100346020,4039264520883946557,4028373350082223440,5928819822458527064,4247189863091940555,2699307630486260430,2748028382681054898,11676073552275719925,3145316733046212816,1573219818753867956,18077422903759375,36154454341470250,2530784404498437500,3764079413749396464,4680675453241098654,8703188793984073830,707519288506207886,2749859502292384720,1567282293855067116,1547020597018318616,1319252983491812785,3684282391816814916,5694310908644635620,597077566264001277,852958729114126110,2005117635143187525,1974115791534691890,2411423623801722090,177124251625943825,796267363905180356,3766566181599839745,1040783197957646584,8775774768196680030,318223960007667454,266434006709077886,2283695393872065000,5958383117069936826,332271457892576600,1072027667452242708,429413494537271698,3450447127620822570,5174123579419149955,1833040815842680160,7833064571447150910,3358259595492240054,490842319652031870,5726431957305365670,1285094266358995700,138065618765714296,4832244547338386360,5543381149946968860,7219481018108030255,2636185847057502615,9501201073186406283,3996554518464507208,1682956939623100590,2684101009405357473,4353995346808925300,2909765874270687928,403842775090126801,6265858070872110900,1093059863465695975,9005394071830774800,6052255552244418307,5517193882362280685,143337414307636350,1194465595291409250,1634786166156081610,949096338419911005,123979626301553808,1239782923682944800,3463865182495152099,1404252207137916630,3844921090413226345,4212549789427177458,5882657537812331120,4513946988204277384,5570057846120387370,5706790305278526660,750216919137984306,1250348093357275950,7522079470507485745,4513334756977125025,5851811545793981775,2114763631443909159,3057212954536304200,4074553962689277024,3036913171286143800,4871924500540373458,6077288134329123744,4211767540718560620,7687386774660461970,6173983775486472225,12152895176434297347,934620160724932302,4472709717490666575,5387673127571274841,9887987915892230130,12461064527971405216,10061896295630720527,941540819134015660,7045994668637415933,7725561789515931550,6564072550520355205,1121800992375650244,7170651217671920520,2217892813431530690,560897372215109790,8413370430444011970,11952561114605577560,3213833839057817300,1445181860630555320,1414227847267442850,6290277242422318152,27491654762880555,641465076102807250,916368869364555500,11792199307656615975,4296671666879730096,658875229889563347,2449652208353931280,7457152428057171935,3115513731171312260,1506427388134788306,3716593225661106804,5754838624592801300,1261403047540153565,952277901996699915,498853286169494220,2993087717667189720,2216589324552651720,1660223801062792782,4040495164921113675,9440130759593267216,3690749096051242848,8249636880818157750,1186446638651869106,5232035711826972750,6078683203969751375,2496723571969153785,941815316192414950,3136987363809291328,4657570363090490685,12536763839304309999,8207164363030207092,1116867159985687420,354549692302913418,1012818950624413675,1366401857561621517,9900518336243741416,24814409885386030,744424356850599180,4962776120585794000,5665404346493252452,296307443614291029,987680949116186850,1217636927524636912,13698269430138368100,8722422504503632568,8898736572628660704,1403072740358736250,735563321166526658,5379480551961138000,8036752323260350404,1670789192320333384,2018137474818122300,3021718805939827539,1524371809692056220,3039182234622844345,6844533728499557335,1130674030735177470,1591350791430732295,345380827811122560,3885492971071919520,8244181221428703586,6315154157023223160,409094395700383575,3636355954359530000,2812203716311118836,7519117996934315460,6380851025217608415,3802254033159707295,1056603444451702290,2347982698967946040,3764789425227614015,3754129491741636450,4581103937714646387,1144709108026779575,1381816606570622439,7335393223717665340,3819239249447767985,5233945168781511007,9594636419467838960,2014775114372352666,2629940753249004336,594652862421892120,12634969466016654633,1484061133251139030,2866513097985957644,2667052490060548218,2087354749802526650,5105394909933190960,6361578606475115920,951617761438823865,2114683712351903700,8106852449046506610,1193658670099720538,3782212668110606055,108123158951917044,1081220130506582040,6288304557682217025,710540391342025538,7461040413612526200,1778540055288486620,2616414906364921176,4237492559323953280,5307893329797390879,5953014840883505075,2769102861057753129,5541686133504701500,3907451263623299610,946495217135618232,231131555483931045,256810121875259670,4995961712654424245,2893135398799571800,7557648409294708487,6917674453782619700,2569359985527395424,1185096810769628128,9757499876673874185,8334082108237454556,5359992805783688240,849981222037546272,4593003209127356905,573133743071865900,6484778873348121185,3360736226387516400,8508614998908793424,9790869893752883152,8807004294179166705,65006709718855892,325030116325766900,452533907027443112,9050582588837489440,2333616942822051635,590007845712139512,1990858033729770425,6757649931431566304,2418546057792811500,12068540413301493495,861873808050102266,3106234357209640100,10443295057840222102,4016869508378379055,767255296962041900,699532917289632614,2526703627942628680,472901574427420518,168420061218712569,240597551822265750,6701450039861470456,535462358001125625,5198876604352571496,1805199379836017968,4129635787135833570,5489177260318888482,2789024459221430430,1399749189514413982,2904500666856755384,409268060022398135,2869290002408271732,1089730667837405370,6226966856538234960,11638120381227760728,2610945673600516290,1215487823460266944,3536151047179739415,4866769584230994258,271338416901419475,8017802383217912285,2391556517956127095,317183089308806140,7136544489301011330,89963711520724345,899627660317868750,10412100142971655815,2375996190467979700,3709373033005740051,9728585502082087921,8133054592114873860,9114805280680260444,6488185431702985470,2814164070639690288,1541825044189038555,7852287822426764010,3818324419632706802,6764994014844330945,7475674301154693396,10400807194928705821,5996051943581291320,3673644776052727674,7633216029990260430,725121149809055608,980894714932000836,1769334652639802810,9080495588259632745,4105611052255082520,2290542321115350064,6143170433706560982,6669924540338984800,500092504856392305,1791518639802438150,7092104013518568745,619971115519426088,6974601991972168950,2960048727450985856,2775875319756596780,4021768179854993196,2601728942763958176,7209448064441483580,9401885343292967901,7299896068087297220,5124122966535235670,5068487217252624204,1222626558618392550,11291774467157900568,89342013334692015,595607192392341060,2978004816567546300,3666447685320985110,4291011690100891128,5299252058179627080,355658650858060346,1267240515912651654,9809890498102681350,13477981189626290538,5233254609487780050,7982890368676626645,1034855306640163395,8519642230183819380,451152909797760534,5155979409367082400,354449254461402712,205323544561584869,3890609155988329320,1300769198390978328,177268113831651105,4136212822646507330,4833385759058422388,7809869051201744765,1135866423681134334,1957905252863569290,648136187162405040,9073811986818569760,2571949264550702640,8071849044716547118,3385503710976371190,8481790644072255783,217432900117232496,1207947966626540000,7643199124892253663,4615131866446794875,979805330512122798,796973140089529188,2656549461826493800,6002003898699605248,1236312758414160820,4192240683587118849,5768092504857257608,2895885420165699615,169380906680304488,5081374312102225200,5093726245173906360,202868270181372692,2028661594071179800,1489823769612508684,1183579496106286160,4356138187242503865,6163649430141918925,8761850352510914475,674972391370130584,1695811727811669930,7706657295731336841,2926424905997948940,7357318398815219450,4452128692569660088,333575257265987750,406690376128663836,6100292269658768940,4620751317105805620,8619731822884350288,1896851957381865715,5718276695914849745,1895252938797625212,279059278721870115,3189215794934036880,854398355903545570,4282656730464431850,5241942815450684676,7252195468771762600,11117477168602228665,5563651646441697020,6907223300137487010,10295144499169385056,2049100865080544640,1700070472055585844,1267543835728093945,593664844330711368,8904880365787489320,2995413958665823500,7351239938453417748,3874093691669996025,3485431250719665858,1482266568498286116,5741324864663532400,3134459322601186674,4215189877941886520,5146518496404022983,9191213187646975173,7365177737294893560,2131161376923636330,1261890764545297860,5375114057768760890,5426021821592761096,5201142799021280900,2017521853075839604,5553480200098840720,6116669613247596984,3739018853622031812,3869316209377480590,747357733384144552,1514513210330223725,4390616748639235527,4370222162522908008,2299349221026412275,7013937820048089190,7522994072788459500,2872364641274954493,1458360299319710592,2318297126671210005,8084258272122429416,2853418456140177520,7850650949046665964,5378782944148294830,6829409223661057950,2127545762129989495,3373763694013576860,289267003299311323,7964655793416623574,4517028742006372380,10141140288399986304,930610086166366320,12408006512233650560,1423796692028407351,455741544822195885,3038245641210870860,6632734623093182130,99077702209380843,1981533621568462260,3622120541738730150,3835142953430876328,197831885593837950,1978298475934711140,1003314457136390628,2895321064174676865,87143655300635224,6099993058828449200,7117845263640937960,4291360460627308980,2678275046648272680,3489981302125659904,2702190557753736675,8282094832588809015,4389405682280493715,954829271777886375,319241880219826584,94340453110512945,628929886028111980,91134756264643668,1215117589863208800,13669932349698762600,1106666056325549955,227998619726558386,5699906914269875650,894748567314382450,8066964301385843424,928119687516433800,5833020862048973060,1002847258560957242,1923440511710373810,689932323638291916,5366085197158200200,7039007793912224780,14058792726245154288,7703045640780782425,2651932658971589086,2232388737154682190,5917924111241390080,7964807087921103927,2055624179569235750,3567409656840509168,8773682755431883800,16692011462403613,1168428821642010110,838964574223673240,7340864770611946490,1101256524518565370,439002695412734061,1254280561799515860,130264244017556400,868419396066463680,4342052498964600000,791694103239651022,6641006289406548384,2882954828321874750,337546001724918663,5625709096877450750,2421494187407308584,11702117818417492312,3305960508645461010,4088788822495551755,2501617568747064075,891373624051072496,11959546662303431202,5435088445444258860,10559448287100901916,8074205706652066280,4963600507937336048,4175686169739723980,2659033664916984875,5010982313617892968,32830273382020120,574523912744722220,2462220180166495800,2717652448638299375,4528323952122754584,1291992749424646100,2048249112986472960,4844759512735769290,307002426856895770,9037635679073698362,2967699729308479335,510101148282866244,819884293635425934,1944133399588656160,2371073220528272974,1819746498778176290,4144010920436056916,8805291275165380056,3618872527232253690,893806947307586134,7841779748154226875,1546356947584616778,3041167111417994307,1512276786247472360,7844295730671628488,2829859850737916800,1938628892096232554,1562230566335797220,12488095721865757800,12314783582909753064,9259973205730333275,2885767664127486968,5765586714932321376,1375121965782340620,3642623999998703135,2063900510540852540,8456918514376874346,134688416645643952,673435230228535600,601643426416902285,10829471498295892650,5450752639473590965,10655589503944714868,8074556020399427755,5335410681449519661,11148598937654195355,5781157589694131532,1538845191750177324,2162626452627250080,5738090032324086408,1109889886565498220,2007222966495257063,3913189753397724357,2698375254090579250,707683962153932381,824815604792985050,1299634406873617515,9649264916534380704,5604378541075195325,2413542404065180401,3356333599252461165,742245844628623089,6378755139120128023,3894327900829453425,4303793012646812454,841099575621816045,6541819232897201190,4594118238034402335,9988283707173224120,10821061774261901253,9756260202235839495,10048490864593010074,2323000725370755368,4023056494623031515,3634231762913662504,7632794805092431950,1539682474258251414,3821308776161260194,1064605557116830050,2365766166583219960,5343409168641693450,5463558518487522125,4654935731562514692,4360187940104727615,471055648857584743,160794033962513105,2067330944463500430,5141710115089701363,7667552105383415770,131107899871804232,327766434325556900,76397693018885049,1527938408896312980,5560278292428908960,8409546678617516016,1516931716721977720,2216227046132560802,289522600085565366,11580786973014682800,3736920666290537817,8220324578607778720,4508709791091100970,7236644578731086610,6752120607784640550,2543456672978341512,329369802359775000,3293664770295263280,7226008531893673263,218069447949096575,4329770626225070999,1498970052341401315,930628719725603371,13461846180735154995,8089371763945350165,8244775971403315155,5907004651951709215,1885126373351795025,213961215207224676,713196860241507800,1767983334638441256,5183971014350768920,3249671107165127764,1518482445906386598,5637258966706585725,1705607125533958145,2586746122589886660,10498138516801840792,2510952289377897288,29978965818503000,1199146558498483520,11488264228387502200,2736886957477242759,8875098934020917874,5887027641595604040,7782244824094348706,1482468574060648280,1456790951774183595,8111156522752642494,7175269520091590190,5281868277677698812,4973974963786162625,3468406677498881664,8766205739524047496,211634647626633960,529081301091954180,9754311177393773535,11749627007072594752,1266121065197274682,337838966914355480,4222944665099672900,638358868705313975,550523204378113304,6881470951694768300,5085068110055235200,221131367640516216,2599522970958235700,1012647770578480024,8731931629001588811,2670932324627655360,647807361912331302,3588022881984764430,3888083844115170021,3288186281826117994,81033700819765170,540219254955997240,9453742173264413500,1015302935583964192,3927953786767743070,398344438529896200,2489627790178677750,295678087685104545,5582364111354075116,5866455175988122008,1231661031552567990,11799228379599079608,4893060793269305685,5219820737691657902,2425092903874111952,4791950514312200100,7367571740449868423,9271039421965921600,4631591330369904551,2235237959198062836,603413973471697990,2702416378578193822,1024415166316239290,7906447810059878286,1960606075901934570,875129321140087680,11284603538766479406,51415782992790580,514152690534869720,3212852343602868029,1468109982900462720,1267488086218518606,376941799488526040,5654070508491110760,529481846528363106,4118151009307603100,3602534821648770513,4333508673064946260,8817072932724623664,2595552125857991804,984690406929691800,6307394018927648759,1207325036293859625,9190654386253093624,1128028516417516226,4791688450841462425,1319264717722047312,1914602563749301965,1118401344147403568,5591950963218493040,13461277543007201280,7299362870874720984,3965228593573903725,4401778117707651252,6566714044826812896,21423217123392945,1713840295300414320,1745648438204346195,6825768890156596002,1814448994068708172,4246134368868256980,221267529391777906,4425306530990118200,987246694613402531,7051691916817445150,364776319726117350,4863635865321741040,12588855161073112125,12045398231704936816,2029418841273669482,2357481980538423960,114602137989357510,2292019968327993000,2099099195508870534,7942185961164733068,2550298811758838430,3390759762173987112,2290919559845422170,2792083274087961312,5179438726199433332,3476902952985493620,3346975346432966895,4084660309826429190,1418480836851384978,724359823545160905,5794821054779785800,1789568129170773852,4062042789096330420,6364112974620040992,4989402063335421176,3108381378798456250,9017595057631314318,1980990161815887950,4912423015869312156,3893630902034715485,9287738867469434580,2882574509737235586,2997958352865200760,3767337149630159328,318818549592613728,1195557712168591800,1731448726314094628,6869310592493207000,3152545611399970980,580625060731335865,5806193098301482250,496294374319993535,284029900869228095,11525982863706251811,329795370017106902,178770562713965610,912512493147808588,5051999963650380265,7831644915938155728,864756406848917868,8433201615835153150,2261866182901503078,1178845225842302175,2431624795681663764,1540769344706846375,12176697972929835960,3558215872880533449,5669227902905273010,461856915332907320,6465932916606280880,1440236173058567325,1841314244745809565,3383795390436805920,961710167000750527,261312865702642964,7376851624237734345,1182746349307497312,1825387825685066510,3992236236805140225,1667360205201560324,1081538038926402350,2190339456305228763,3193268336560653690,11603340122718353166,838891294852077544,2152378063313937300,7035991115682577410,360926070211585575,2807175090285555570,892107506258814638,10132256209769785125,689611650872825198,2970120440300834340,1274847952996772406,1835530857772023923,8505613933516901320,7669491782049160872,2798380455579886320,4651103080663713807,1473442691786376781,2113015194239475495,807845604452698458,284116948363283425,6411524736663558045,1057060243810834206,2841213791129192570,8471302129790892486,358883844708119220,5383204721289638460,10440368500482238296,580498405894076150,7901496767260997467,3391663053149766675,1302221862395022376,829120619647627668,4820222447867013980,10259788826494153971,4403694472761425265,651377213444824191,612644676247398529,11605267141501747960,3835157005956417784,709576898666494830,7095699319490736420,3665781833345453572,12346801629969994875,10005278045300678448,38723097342486220,2710590216875526440,4532141878139015868,6599016570510308600,4383847242523325616,1072770309996949180,5509337751547528696,3918940856927501916,5366111697157618800,11585642880390703029,2437687633752664500,4730855891157355390,1007149520504124846,1119044058340236700,1412727669946353995,2534375734065913710,1441708000695811814,501353414328376779,1694515014937162725,1363196643351809620,10513827813631155615,774878777750905883,7580899612452412630,7970137331104535755,3353570456994974853,116506268971116195,1165051292476854570,3720007400178639115,10869982671686398830,10543106223320332761,1616740793774737930,2055520029276783825,4135343597378649087,1320620838555425250,4454868251983673496,8350776859410713700,3072380009802008739,893739684487634644,3443589487878497775,1720203283280182947,9543405680369935335,8796331202851425128,413749405942484448,7240543918887224400,1993490289935683284,620657332619428710,3066419892269841774,7873069334617440666,659756556240084730,1833065811867559440,4956140092745936970,6669549973082527256,3839317987943621155,811702766544998315,1643591155752287475,1375108128836989120,645010853683644396,164732715471966207,549103700793499750,1636546054959039142,789751256651912250,833638190981615408,3292064977713484350,1628386204053624970,354380190001114245,1715236420861145440,10558092059509136922,4144787215885755715,2009301693157176500,2807598559381966168,1578629357158952880,831758588823487978,3183838240234825650,5074173887705503640,566423171357791190,9062682613019400800,427055802632819913,10403296566180976872,658130672015660535,2817396108481592144,2443242350390360940,3830229709575424072,464302509895781908,5349984224849801775,2827989456575442196,626116887740475875,10017772918629713680,129852413295960504,5843301866391083400,528062725177426456,3249561906084730215,2978508782413862848,878765129329878271,1002289198658812925,2041659565924697076,577365246058192540,3307698896092804371,759548291867480178,6329507721795707250,1625397011699639648,474776901954900615,615354209945855736,5384297151254640990,13177448535655563480,5665174394187252987,268321305013258120,2012390292662642580,2402632060559195580,673653122744642625,5389172793850976040,1018410844489633300,6746458120260221552,649147546889794435,264398134168010530,9784954743980552433,3063451512539073360,11760601106388974319,2454644618818189528,1466517239497423295,1310122432342343246,323955989218508190,1010098075904576464,1262610387463617580,1385258956142851840,1049813688181191402,193099604132634465,748838914358347198,2524290505197586272,253661731543632660,845530937269674680,1345477650652152450,1002784614792565852,1722357579471104485,2985988749781372200,1843721352235954386,492136869816574125,756295071899375781,7716533204255355112,921923929904313660,9100125343457089662,5798006733832679225,4911017154369023481,3161604133228181464,367264599129814275,11017831738007314350,5392038796212020980,8239256122307310576,961515861853853514,1110803675436681240,8545389433667191889,3942596878081397715,5539222367726262416,4895037896459989432,5377636221175107540,5830852948401774832,5146999426935523845,5252552051476835335,5842236456665705720,7126352950150857375,1102243512882275800,2755582264966212500,2659034090409402264,6775204744973211776,2755642339066483300,3325441735303467890,2988496876498590240,2314648863186211876,681532575924719043,1774645130392626930,4990751508290344804,88723222050267090,1774447388607591720,8409094461561475194,74063593923930390,617190687053944150,3703108553211130500,7264590061475556065,2107598792854588324,3008054520115648825,8092563623264162886,7290412935152773370,7562614477832788738,11754549633280610512,691711529164037525,694293286709230658,5761362549959385600,3915991413073857104,912039551429805548,4346686724737196070,3418016239203646521,432070681711382730,5442733939376767131,11045723753257587736,1362585041826798270,9451214162750469728,925230519275842395,8848000714821966750,4482426701322291246,2497437986796504180,43348271748482636,2167392833853461000,3671619655089470154,5402683745912334812,1063334515673936990,3902695593156713706,1697560249644016380,1984793784737366454,2367187994554026576,1251919519101330225,382720858996715330,1530868795647287000,11464993046667551328,3002923289123103879,2034321153491562660,3525465857968690485,2489866632405665610,3663901220273561085,3411012999965302962,2038839011112821490,863091115424219352,6840513501514466200,1549739894479279690,9168795987523929276,6426027699510775825,3289477011857179888,6009898102831413180,4116109771036045404,3199607746723099480,179017849732129420,940568432046423948,1592788346021668390,566752646177344305,2673461249830177832,1391248340252247600,5346459757971596579,9926038472600937050,1485441343435026968,905649864338554587,8783509416972413370,3871219984033855098,1860374812644302960,5394234501957529893,11893355137478772208,873245990115097385,2875175085518956395,1530794778968646360,6975730568404840823,5093751192648591872,444531494780614020,4445272643000674440,4125302683827245425,477059749294756355,958645871881793703,7456063636822970050,2647047636144304084,4788228675673649160,414415552977298030,4657080163058624061,2553572589941396625,2660226948366487686,10596389382382508000,7280963581274302608,1903370707622790990,316111121630641700,3793297427542605840,520780752354515100,5207758068208657800,3266025287573547162,33310432208654430,277584299996548450,4996469975006335500,888386606694925147,10006789470537919185,1903759457741047960,1650645973076672494,1925825996108219900,1060825536998341289,1515450681365238670,2331419910672910090,2331085845781103187,7765755948227161650,12344874697105314648,5771297409387913884,3520932623611383000,5170845037615233376,4441109761125937800,1087955068756508428,6994198003640031834,5444975194359569505,70184598349520025,467892892437652500,7018326947209567500,165743229550330770,2486124914178291750,7249653696070282542,6021649729423120725,1164976546361974523,4629295128630817338,8996502502785803940,5040786004798534965,757650286159352040,8163634404784370856,2348790496564064544,6064467547291916945,1787763280223033250,9353950420995717800,7336322488042625097,382051102386656675,1425535526341812400,3649018687842869872,12180054506047462125,6616737572367486492,302455158017963506,3024523028069531300,7970076522628404191,4585138887930156765,1300025962378545441,9807486717084337504,1383294328931399455,8419648351181666676,297098676341176890,2475798954531690550,290606307187961947,1352402017260164035,3284821810708014678,222216805121832915,1481431405543853660,9542295136636338048,9475500722707816965,7241760541718926392,3584306937660165345,6437768731492758678,5634008099067467616,828016385588189400,5175053686612471650,9263355522096649050,7774879070110390512,2785542264792865578,6979842356514635120,8619507495165016125,1284153873586132400,2029826508743919158,4973416465678743264,4177951296966909800,2812052426085000355,6748813806539558285,2249016876507463048,531428226904764690,2125692929828045400,5235374858535225768,5299222748144089760,2877482368883985492,1004231017465326638,2892179921591389720,9158936972343601032,1715010449711592540,1618429543520284670,326387684291814245,157601735884272600,183159264807272776,1602628528230133250,3681846655359531895,5756842268605417830,642230905820653415,210109584091643918,3836391240192077385,2464471422339247071,449872104019464215,1392725736684983480,3006861496284685392,3172918441625381295,7552189652193258624,163517990616579832,82260781655324235,5758200778485611190,2307752449780059125,1509741329612879668,6729967372045488186,693379207713398570,1806152326646823020,1520000373681213570,2857806097416074259,5861976055395073968,1813272271001296600,2855300900040700468,1509032441637809375,8791930756579790634,6109000247295322299,3461827693495309380,1111644952062692301,1734236249444927795,924814916562283019,10394467083024382295,3502322174317608740,992729831333057415,2446800158860029840,2918467998723367674,1238412851524606122,7671920837849352525,4112886216481968969,1289398605047135570,3317212499736912644,732441765996459783,4069082948561270750,3382388198894296215,2613181580044297360,1939161790127895336,381256331295621054,3812527756447882500,2603304635140359504,4020500401086010575,6879063485882238854,2052455940434792536,1896485802282563540,758188287396268929,1684847161779677300,3976539929507366370,3765979041775437474,1079879751565378230,11882211104495195856,2647874468978725545,8521014268980014440,1338008256968888044,7700211034984637440,624374306024881604,70169388594032520,175421839255151580,1010404443238817945,1874733371315165620,122051627573325964,1220504925292351400,8995022983176034014,3069373394388328803,4594710110601565500,1429234007176950505,2269089342528159025,1237891083752919312,11003374063545667840,6691949973233029800,1936382292113891632,740439325746391460,598323780631720418,1327467778706302507,1718862434117550540,6678818730977733560,1767413688517676775,6178913376949889485,8969294731928376678,982320204336723065,4098294845871908576,467452191786077695,57458677916826591,383054300587485740,3271565687282338095,3189450995690333304,1321098713569880870,1195857509369224338,882776929195914218,6415888885513578750,1383088113157950992,2835173441142097200,1899478602673364979,558895190787429179,7472737012010623880,62609839993724704,626092603762177600,27314874248916378,546292428883788360,4719624006425948060,5630011636402503714,594023849672458880,6682706490601712160,3657800823685697988,11991086222984259705,1823495717916379692,2720484427885169050,5954839013471993110,8398046454121297544,1189136674431980180,4126581760099223676,6049240353723753720,3869538756749311770,13803171939408209904,1374874437336961325,2676412256787770172,8744769299690903700,1226052134080520682,7874286664505418224,2676513633144740350,6293595916039878369,7091620566832688130,123499788841081205,1234986495420598550,5966172316878049220,954868892920153303,483474281708376920,1732438931627769078,1813076062637538770,6548957351413130875,5512799237549083248,2746582718728115840,5297286656044143968,2086858896583523580,2143240307491968020,7050054875354431910,422911991161406265,1409693656278177610,1104436775867484488,12424799346775422750,9783579789636855692,144377614535749000,1443762859407686480,761357625879964557,7895588634007761960,1128319295682440424,6922787919650412705,3507251263941831624,7157254218504097302,6437632496324749230,9971369127702952424,1437995287096554575,9276339726417435763,1691448185272695964,2813767775881470900,3325739112759611912,1682077747253294025,954769757787167277,1704403391616503928,6189166101375008885,9794615747915171745,84883373591229195,565883963476960660,7672666429142205474,1148534874490616250,1454478275617650348,3210092768613028800,2793711602760948868,40574895247436433,676242053144425250,12172245354669269700,1120574309216064240,2465564098582501651,2527525788416010288,3334754840154512790,1313145249316055445,7530845928950073695,11646001256908063072,4226194747875804067,4158598987290076665,7294368096530257830,3812158724898446910,304310437157723692,10650767815334700620,8836685450200437865,1549046559781863702,4638298241858613815,424978954374078266,3447685932655515054,3842720927189790450,407091347865554436,4366976787023581575,806156519986772108,1395548201899662117,10055172992045480,87981959665977370,1131186288408043500,6284310855548285000,1172866168148419304,250805256259754230,5016059316700142680,557675759554340720,1394176670117960920,4623753002059892376,4386179031617855745,2010843006600399129,1508173185532924230,2640555137374722659,5377852356375393984,2611996725010662100,5166874138822813359,9820013722702174215,307889080759247015,4310407834041545110,7539951198088244875,3392564299884958719,2296955554417701375,11953343380077951904,7944113627709304808,1893351067280013360,671277011089214088,5593924148454981000,339285836498316023,586591053895261296,11065413632215902520,8602434379951764156,2338483485231225990,3990089509550462540,1389774854213931450,2299766987731325505,1467151190291482098,5071499825021940345,1046377571165429146,9327445338548598352,7307319643145657415,2598303362068279075,612662757687858240,5911463875795830348,2497602990174923493,1155130468020373250,5635103223158266355,2964624114469117275,10225280849805037692,3604514506090397991,4507643775647927115,1440317750817666324,2509388509500809300,2593133685979291679,4239307316781834416,8447393484091325370,671947891800764615,9407185154763148550,2087705642639996184,2284743861382136028,1734926509143424185,7945625839368281477,2528404517314418275,1226702793033202971,5942552921250202488,1825827153032797590,1438299441732715541,3958043803845224895,5197408512700826592,2998889496231351560,2700314250352938650,3324143198735159898,472498143059024750,2439966653160210027,1937415505860207925,3106231187800919360,179841685375727325,1598578297204110000,2245638815637041695,11144887712359455264,12308732290146732160,13000150436622336207,4529627618600686185,771706141673327314,1521019654187749336,8454681129120626040,601291217367830972,1503214462626432850,6549453738955813686,658767632212605447,731957425577602350,1123927923716411528,1191030701639983845,5233993874157526608,6852851726629427925,2979990093198978000,2240909013544542537,829178687569894400,2072928018638978560,8574777136810600112,12831831894287156130,2867981737510573047,178269903313806520,1782682961994783760,1169767346563173345,1713343555597794910,5762491212725145675,3909586810950477400,722900025824551491,5166008358651023814,1733575710016895050,8322495240028800015,1504124590647802575,2207639252365554162,990396809350603915,2161078973255284775,9800215442494038272,8462605157228188590,1340410309593100808,507974202983996556,8889468595298933250,2801838275474358204,113404718409250450,1134036988039870460,71603632520923369,716029889165139950,966607301103590328,1878143882841480150,3297480242561456590,802881886711081632,917671042936233430,10044591988223927575,2071890331794077575,3141373649889678624,1181378170645865274,7805632570233763960,3271426082674090124,57324591326100890,1719722309111497020,10543616404785825512,1587409430950359380,195984417753612795,2881495232861243915,8160350104933213824,1822812393860394108,1373266339759477375,10780072264562201648,9810443548183563900,382122058680756138,636864391850948530,881465819440354400,1503994020005179059,4803983583527314040,4082490618645252021,4896145728769066968,2808451868393589110,771549189999272321,7715422848895759550,930980671229137465,2197971854389294053,88123980259765040,2643695760196259040,2620611723376495660,6478153681058267868,3019098722943863028,2329135697810458590,146743269442741530,733709789588517750,5387119795218837414,6197005992778265925,69176231255091900,230585377748804120,8070416139750685000,6253000726290181677,3783758861430436030,2753081315733766160,11068601769699274688,7270153777474876200,611004389663517171,11735784041746029096,2962697317928324940,4864396732348779032,10619747374093422760,893630601348187022,10783897288663589685,3446628385590792885,5245042398367244312,2195986178110243860,5083636480461475902,5029161219353323985,1546221494992753160,9246074180920842888,11860411126625628840,1796141854963992762,4973212936742468420,479791408877720550,3198580917283128360,4131894516846141750,696789116636677486,1556487571177300272,45455732280445025,3636426231360969200,4352346793710381030,4652976482330612648,8219304167699245859,6373936335158076685,8214254013316233750,5248046457042756120,3709097513714159060,9832752716268186528,7300583223479773225,5407643112973904824,5135614047172504890,9581182445872200933,12262711771448377236,1247703952101859840,99628269858215016,4981369273424598000,3399197788880268570,1219699580601171712,10199846173990059125,647234355178290373,1987757754041341450,3877686851664963267,3294517552135165452,6797574567357214280,3047065304774457380,7147746749512911850,744771671755722122,3779142054436845768,995691735698463540,7744200442000782760,468888185774569590,1594981618463185058,480518390715933570,4278343613516695675,2466510505428328065,3898048576746662600,463869940964816654,772481994329392959,1537417603303774970,10168632023774144501,4236634738712497135,8471426848038385302,1781199017287897779,3890946890898132525,4918933114250479136,8820359524252424850,5459668832701044437,329530011193233025,5931487785529892250,3230012105556049024,2832422013935027430,968333475406104084,470629586333808293,4706254303244484550,2146808124131778912,1454339222225010810,6511692647062428996,133543329624764015,1602505813790867700,4497091788409469628,416900224217795255,1075927019667097548,5920567196151868056,5297159701802528370,6576780652806476190,815710323904074990,6797526112191196650,8564031634750450124,12683309317282764225,1398002367014745624,804364109198164300,1393528935993901707,53528935082383323,59476070759239850,2379021882376896400,6542585030900089325,2143608615720981246,960094266694039456,646264960580196380,971238452633072638,5549885187152502800,7523082427517616960,4519734728850235044,2854201271309177970,236684521556793622,9467297626547963600,7075363659524327041,2491746382254745092,574990051898144575,5557179076323385105,874167521363268195,8206531481049431094,5234615293583768488,4306520519589257400,993190534845964988,655478634582012850,741113499166756512,4294332584579268686,4489978106413481205,3157324711761005319,1248390893964136580,231995910957949504,10439724423781558080,1555911229521954610,49815381680164025,3487046144622871250,687457223202024494,690936560568408336,1451567659348260280,1611461489396529162,5137521117261588965,9247143140513840048,1476089488620410466,2394264847017315940,9205007909828086232,4799623257073612905,4714196578733614742,1102947477450479552,3509817266061650300,3137428003938324135,3551083593009166500,2033822426467539886,6264146854073452708,4881265314035992700,2766819814349914798,8812654507951961340,6992082532914189489,326370531493762440,2855717192764794750,8895310391668986126,1830285970654546230,11713537415704589096,5854336746074076488,2271375997561796580,4842715485717124911,1488404413986751390,11339550067352289354,2119354459522649748,2428028823204791715,1464208949388108820,3987163488918293880,2119190240405391774,7940001577706315064,3479845860334408000,3890276963356061180,1813299987973573600,1442476523263478898,1549374169783888053,1057030956715498470,1298258099209084962,929944667909256810,27567864029788614,183784159372255560,6432389557432461000,5851006490299281140,2160529851093559995,4083096242838871224,8427045006515119986,368276465564213640,3682732609124490480,8885151536115657450,3607883818316809324,5175490689520087820,3465049384246626540,1139657659465708281,4064885139401012255,7029806746533593622,4503255711566530115,3843233161155009375,1350613815625726218,9883429255756366450,1068923357756875955,4149675267866749803,9051308800038747795,2281617533033130664,5345314355911530325,1420753503216600004,2725729191467851689,13352623117315969635,4659037900409914665,339740245865752620,970677996114364080,656093916563253741,5778817645340635065,1931414224553081584,2608211199085951095,4849066719929813675,3004059640558348988,6009353443067043550,10845682408312419951,7423323560621016390,13996406612561782,979739976764448340,4198849251077355000,748312303760152904,8418440530949910750,770097209083048566,4278280797578785700,833141665852136225,2432262071321037540,4340025697384302345,2259861700001410284,4063032851466674148,7119040719593320320,10582010131651924995,4728288952861068225,756489343912394496,3119922537294740751,754958854326212040,6171454213398282186,2037229325994305880,5514511173954177564,10456145102243291339,7259007603683054765,9928691655979735548,882755175007726660,662439993316077549,2680083015444900636,4133886019434490050,4273169663175766788,1721978588521808875,1776014706828051340,4169708010609465762,13898679258449783610,10807601061672790921,6162064074048417580,13557296140069650399,9319929461068372328,5879495800109051085,2033785632167268225,1204514425470980580,5559331151588121828,1858446780676227,21239208876337200,238939042511540700,1858398775906995000,3332009603420614077,2678016603809921517,8588473814784637530,2918262027102517431,9726217525660741560,7711189704886583470,4576500285955051503,6791212994494401125,4919431712162714344,2980343201753348750,6031914870489512946,1578010973769523048,679881756837088700,778498642544248535,91049794773140385,520280072572889160,11706201095825924100,5897540601113784480,1508286357564422352,1365725024260084940,1305954986512749552,2479280143537791692,1362170617778654910,11622517995551327632,3167122361450596175,1270930376156425968,358652495255097992,2241558874156897750,8372980152802023084,547601503400080245,5475968098089111090,2906204026655150874,3823500891265791750,1382823748064983406,3885602751374625225,4919607938072086192,13438044554503424517,5189911419667557275,1117779614657462972,2977436335872223080,2537993190153689632,1193156870329052412,1448001128607184485,456983579980521139,3264140506512489250,2831670099393034368,452450547411641458,8624318257032683820,2409988943789743015,1325766674466611615,1051306743557109237,834701995480798336,6519154956762109860,426566140266420973,1828124985454125450,5853575302822571828,1486039335653325362,3769499684236768950,1306382413533373416,5705131066908436575,331010326111773012,781773046140815603,5584045542912352250,1458762576234612196,3921701295983960720,1944947383440287294,2324575249706459620,173527772534096805,1156841955057182460,3463228218569247765,1523048304777325576,4326841256486702028,4804048406588805135,4957349688232565407,7273034746975300080,12378227776559170695,11265621097037947696,1355198031690105715,3142789185440603096,842215193822356640,5652410371081047000,4465410947547509830,6076741181570060625,9463398787881252193,10571398712176494150,7556940283648816984,1691394964241999796,1681489175973923975,1661688877187316504,9811761826320086440,7318879866566263065,5256874686663564027,4013891157529073730,7252290255108196452,7719556077458243970,1137401156015120165,6586983397107069561,3441830659343552070,2690332659753389116,2217391622052334840,2744703882650264511,1434782899887492715,4161156502243333455,3075718778115771888,11946739501952430840,7338061193561970417,11036387725284766356,11706281417147649800,1496155117318812106,10478470778223717200,3025101512696456368,12527018407990574964,311506243445493495,3115036050998066370,3006406925708141680,4708773788343855006,5006027280746059344,1868683007482780390,175372800964556104,7891709260899137400,4222323540149525580,5201219708476318176,5962417533033885720,3637442411234846304,11693637071408681840,5139893071709355827,1172626779828105366,6501129330687353495,129529067238306928,2590559454248641600,766342356341700690,12261374121529484640,11558056197521899800,2262937187936592972,4120385169330826500,2093112545445576288,8478629738487029478,5262807745324828060,1636255705380968892,1408610298114180525,615271016108692503,683628695656718770,4669330647696332520,4010288506755690464,3088078794606768040,5428870603549828176,88493083394418850,1327385063644916250,4020433722176197542,3191090099817126060,6918641237859204870,7498688264207361260,2235520621131529390,1147323194013140487,1480198591750919480,11091818526522015204,7646718890831717065,11315226833472835000,2121004710173177144,2218317792379809050,2376509299230155544,9999940263319983193,407186829147189755,8890095907148194296,3128711108823772650,357528332507878784,4469066594929988800,2456406499294065150,10417562619867244793,9041416075936193535,5560385985313059628,1168730341670660175,4773209094750806310,491630796752818710,7330024256617940920,10171815813291757695,1963060775295336603,2632805184789222590,1354923176940805788,3643779306220558080,2895012983813444434,598835652883807031,1362975808730354425,6477662696720200830,1863626723124530700,225423780185625180,2705062693199639760,12824780350957982910,748685554447660606,3300118119696145300,866974051269909272,5006051233954869112,727367888067222480,2490927636257250453,2452104702544711870,10284107585759333781,2451284531518731363,925928591891266150,9786902293875842,244670510856989750,1468010788107098100,1074934500869415868,4583180355456381420,1334628879571464038,3042701520872487180,1786746764660749468,6919476303454111640,1507202704739034600,8392499222553955761,4796738878142766100,4807349634260244532,3685362546291762789,13452388075295705835,2149159119457681606,5990082961846184720,1102920439051179091,1438458322283400138,5136509530462816890,7687926121880018295,5013416208401453550,5193509907780535560,326736445483714546,369629013280264140,613762305638116894,12220402307598780520,8426221144223248626,518085162597229833,742956044068318020,1897141985643949662,556738192610785080,2386000959145881840,247541250771041695,4671294586940639625,574742771615170872,5747379890540526000,664639409175094548,723018040234660734,868971212569843845,7874876483662306040,3583525677580784280,9445812878532253699,8160356658732427394,6964174142407386040,4000741149211788500,5291261735047610420,5580067692600173744,651767365421616008,6517619523327465200,2211583510950371675,4023899597116651140,2171335835904183104,211084886961127179,703610450487134850,5235539286161175168,4086280142661866100,6794092553290645848,2304058599480903570,9158718674859183300,1397203117371335953,524144332761370625,4193119903906796840,1238141815201756114,165968829841200180,3319349093862880560,5460192127974238590,11173527322471300920,201022533188026662,2010208685883083700,4034625768843781710,365885959860631025,1732605920259101844,6920415065003582262,5996633035149718360,7999765439915154708,9072575844795115380,1674113619274844548,2002938618732807705,1028351351758400540,4680711646565136759,4054055262664597645,5849504359049390135,4576819987450403865,10157655666445328125,646484103659258113,908738686355773050,5954591898388050356,4089470519440274444,8829078629066670780,2269998105111320648,7376131953824868605,11654010917130594636,625756785519782112,288145103009593380,1920951507944935760,1087886970718227330,3819216041437986966,4175147350622301885,648708584490142975,977608007287373934,1424882961497634640,1444941910019041434,6075747942887755853,6848579080131054525,3795679715566455444,6413688496462778280,1896209336666056890,239833046155213824,2398310719800576000,1173934886554999740,4183985489542838025,596795324795018657,3410230944221882440,2474823318615083925,2195361677627086540,6076667635204230155,8824556018426263785,2823030993491690020,8206926670648555160,4073401899366649808,1886546878182495220,1348096218307711138,1543346469143341156,778361172572722820,167355519360825750,5020624358508262500,2003684856866422635,4672353298628604654,4001835053963414955,1097127879939903231,767606225995435060,3412028513307040191,2134097611198375344,7633273792500450400,2721852415700058798,10390944426889420275,5914097534560342806,4943117419869213792,176916947735480220,1769154982041631320,3407517669562867640,9438748251420902944,9181004611157389287,5775768057245844840,2327233350932438172,6394181513450604560,1176719820558568500,9814642415213197793,982578372394091190,489793567377309185,8816212097914501350,3905378136267669278,960203799995610157,364310618649632980,1127770570501041668,4080231342344498540,3852290522298445136,1573202917416426856,6831077518369618800,5887796937823588375,4280816138847096750,976605246438001366,3703021436817437518,2686161241544520140,5017221453478590342,956273270086008765,325986566124665004,180974817147531658,810941527744918245,6982256210255486862,6889900734418556360,6407773225527170525,2914080706154822490,2864294039007024660,1003299697298587658,3187699680798097960,2453295619208748915,10678996631396564901,1090396494638836385,128905226151165789,7734250590411924900,1728782258420679756,6868972364558977842,4715018318761316475,1157620003960956836,1170433767058768625,5579312430907660038,573213157172437896,4458288296700624400,1061531257437634140,583901457693613705,8551012813882908299,1441801885838142283,3961617065671443395,8337005486257922408,8306792607160094320,4373075642064880932,159206535694571423,318052036252009410,2650412115695057350,6153524113342793805,4087010536434590436,3933922867285107696,400559726724681220,927627149653373894,169833173902994680,1273738473288779820,4671591009292385832,3625802508236330500,9589305151069013475,12489703485109955550,219221382009218248,1644147041963765460,4805465370213479580,4966630746410124676,952411776446655810,2116453474401654840,10794733148087282832,5914767339022642100,9521699433354261531,4040893730397879180,4637927756031776128,1647029501224554126,541421107290096875,798008750858896771,2005413499737088175,5304634556026843436,2856065108869673106,1152486391517720120,4027606146461447781,3348258972380472030,780691913834758406,826188007134420688,5118978674223961875,4287690672399800484,5950574838836863200,5145920829035911755,1060411215288201024,8236522262465314020,7095809226394479380,1724090662981286975,2597959281783107116,5709139363326914082,1137020148214235760,3208925604993018183,2442634680466410100,1079565471712815308,2320916244103531438,2506613581829233485,3316331164344186125,2874134582384602860,1400264373927675096,1059722683230175045,2905344267492900025,3586801713909705723,7125400406566507590,5536578505417020815,304898500696164583,6042651750227130300,8833589806507438581,2191911486139961950,492805000133989002,2190226832076806320,6025712193203010245,5501847152849794470,7393084104619632625,4711310623393754255,967140949514671820,3168739943798419320,884570092491551284,9239072802892465000,7036115715723585537,381663931428914775,3816608674465128750,834257441091683112,6570473383876227180,736702339510841172,2429426708600211752,11989669036617950840,1144623553298644183,3399818308705920075,2590114089502254824,646458114792733952,468861581058329550,49766003344340294,2239452205336887750,1900617057114657258,2202979976381860032,1215775788977091395,4176770579631270357,162669319269732590,2440020254797116930,3551571015299527160,4091091322549568940,1334035874004421696,7262670526097559160,1148188689081704114,2868322315995545332,7136725551275569830,968490137588188722,2748882927426136740,6023602307615730632,1219091461972488181,1426619033355895785,426503564046694953,3568696554423839520,6789719775375549378,2209020035907942532,4547312183239810375,2812414422373807290,1561351004836184625,6235553431253057751,1555618079151795932,809362884922134975,4496424602335038250,6524004993211187625,747241661173947662,5288295739905083424,4600829118737696600,4541560774555171935,9104264481105696455,2117443336087607406,6356351426235140512,6964717111048054125,275874563372652639,3678298218704327400,10558587953089786015,3739627313864142753,995020736329244940,241861771318214534,3627897700665244350,3993302143769884749,6070826081072044572,8043423097024689750,5001009611724237220,814484528627569800,3990855358740979192,2635860947886360229,1381716323260982280,6833884314620734812,12995883740513977380,3625571464430102466,1430776341905101237,2361876769314150175,223989004174060502,10079425167639790950,1316279022897981429,7878924681843569568,6671226312733378240,4571484264595839465,1909853687185653550,2236100492842959834,11745337185912775824,3766126042836070200,8302308796580699928,9342795331658415,186854425747585860,311421575175217100,160205627644189800,1201532689235577420,3723945083300793400,525534600388181124,6131188458310425580,5368632177952616125,4545595523681510376,2638006704508997590,8047343529966077298,6283102251249729325,270519772488016070,3504720957675534201,2771531454543766335,84474568388181120,844739005775251200,1220618014221793880,10680323217325751990,1425715992619850885,1701554094255766564,3540521896612809264,3131578723712958105,7305755734493005992,8511278633328443190,708479521120795802,937626635362647536,311192286265949900,1555949153866551220,863779170201393375,7677976503196707600,1131269017108104342,4184736817492949340,2483199399690059904,4750880815875981800,2657093921979375034,7936872970283946736,2804575382597107160,2594556539796165144,7722803171589742600,1735106454469378976,2529078141978658476,1410465214350177520,3170935308727007318,11654012788344785040,4430812093101042066,9907878255858124528,647914551222463980,925584935502558360,183891036225689850,2574454263224242980,3024058809874698290,11509436953227444200,2793102145826147365,1953684771879733850,549783525114905344,6219825356555026979,7220276244652732950,2557923633033441098,1993943091618966760,1502871168108640148,3422193400453204440,4892732740563417820,3376961251227246832,2282230081447755225,4386441934719493638,794706998622035101,1327974422866532875,2239315021338932314,1770712271592345420,6771265660216368740,5010200454938296768,235624220940407640,6560107511648720536,1038157549050916350,1746565074215449371,9706522782497180856,2759846354370108350,13589302186378140714,10190905941518085000,2697142936916037252,8537849195971052748,2428311898678330830,5849848317557555064,1599608001358761390,723786873941982657,9842364484845464754,1652228435768038695,2398120114271474376,10231260974176402195,4751513197944064986,1913254208482228440,2566701221306232855,875753869247986605,5388401141618697875,100383908147817252,2258620301801999070,5841818880285595530,1041656923008047024,3603298499615747010,12580131306820367043,1394528596867958229,68009994553694375,952132499369323090,12241608122916022500,2630142132106243264,2592282647553667416,2885590332823404975,403817641924784392,4832941349218350550,3609672875928148112,11524376870845684464,4669413840224005080,9836242646921028408,66214099143524710,472954170147418100,8513108817940855800,244839970295956810,1825419794458500354,4346201716877533425,3332022660993977405,2607268862689345830,1215256400804502030,11755212763258987848,873509627798130105,9513831917623104045,5429562578998255696,7735765934879968800,5475886320305046744,4432957289816415075,1913323000053906462,353446874017137324,3244036989728977330,250444472046638049,556538952952330300,3741615579977396667,376613205285586124,1390429027370822460,2025905475442268420,4904694131212776850,2387446005026248696,8174274553701314022,2681216208430690860,7860965666789870012,2411689488951981525,1086473488058645535,4463151452927506213,938321982786313480,7294261380674263983,1712660017875337700,7266226923968417328,8180045105005362498,5404706978485707400,11066684835500614044,57140381721390400,428549548918558560,5713949806466348800,1871625021085423420,660984370312577409,5140949817253044550,7220843655759837936,10308269082942305384,4228419284209656690,5740586185707312924,2140975973913384660,3735319748776336035,6650915071984370830,3063073900821973740,8997403382497821618,1573305482881404780,1338435774536104895,753991749816837078,5598979073936017280,858602639042073468,6376547232376860175,12908855289709794555,3697611255675101527,677352633117084275,633643506318825838,1769426187635055600,862159882934559478,3722765493590910684,389519286949178880,1298387627879080960,2114047130720660520,907269803978537276,6991563058761033025,1016140205530062210,1269715781116645096,470743329490775865,1569132365758660170,2503954780758031788,965356874633750320,7240120913707094280,3970183354867963365,8602087020087883518,1397320962918373016,1271426653837924830,3505839540583864962,3772294570076613660,1779808502136598752,6210516034446611571,6094581359663970800,7397588018780909040,983204556631174875,1248270928402680768,411189594508371664,4111864413785895200,9647634250474877178,13607632464176698470,3924759563695624623,805883433248299482,1157966268811092825,6326143785786471712,1644670187056782375,3259957365542007196,477282240516124485,677167391404089420,475257780360358401,447353649346298535,497055806819499490,367166937797321417,2411050798148620640,11394385715740653688,433130794764726505,3787399930168812744,3144879114004277208,1702088586888085000,2372902257212998308,6743521980135893550,997398380221889266,3071620616547909896,3083409584048640560,295308396386470200,1476530708976165000,4981798619053410224,180200102377895232,8108942727475310400,12047479396868750265,2224131314791963460,380973277989498613,741270419456706128,7654967110090012440,1453905528781136208,243770125295442545,4517564007451114645,5457073002943602140,9585846231697418130,1420883256043384316,803232428086560710,4739543353951571740,823247868543159162,6050252933776809875,2723757803989353438,1346167497907902650,4756592181666114608,3459300707855627859,3963532869683448075,2055321254966401400,2070251276537938110,10324883580737071716,3670620755745121765,10847700507616435890,6575953301000422395,7041774693692953040,5662346180150858575,3522796349559418758,6347715987931027025,3817111588612660494,5867115856716913650,7975960689349455544,766675701218662964,7656395293913088100,10556592449220871501,11486221993432927395,983623491909530924,1266619709290199828,692521870127551800,3957237833673408960,690378393598051950,3074735873490381824,108179870673313530,1081790512219651500,1346217360626435785,2317397774629773010,5105845860528713778,5047305385272288450,6693380050647758175,9116496386700086146,6033667858530862240,11259556423448386528,814893723433611003,4730677055158883940,4365304583885541676,889915230082111025,1477375099471753434,2786090970275103387,769606671219762420,5985784442414924840,4416743303727953625,10491933818600991405,1845976034043553206,86310211786529400,2013889739298096240,8060880253054049850,5834614649807158110,6544427046442132421,1187341703052038560,13357493410013057880,5203578542594883475,9652748104206717952,9324180615809868221,4212116381854351880,5319738149818674008,4129206072946644720,5613994945112114070,1483474017923885499,1724381172557136275,382092856466660124,3771396831873264650,12685879713584730744,591463229232585222,11392146372785794840,1762797154578163132,2680909366629949680,9108144513008027456,3262443891834399615,2351801889639209100,5119365182370357564,6063657210564603125,2989156581246182685,6882744080039615676,9088768003865708280,5397974420067164572,7378418021281226940,193588564052099592,1935871106785985520,160222094497203430,138235321011004794,4147028511651449100,6235114525696936768,1028407393263239640,7712997601183969500,5315665743690449004,2614368381637489690,1615315455690828484,2057601627040856325,4196787296331061040,3882095312283999246,2029506485524746180,5698418157615866364,599282579336359428,464663254835432375,95682066014101982,4305660742236089250,556031391278318061,1602698043598570945,1117008441133481920,12566250965590828560,500237364710641935,807640680594990894,5384230949404206760,9583608230639296160,6248954686997996795,2119261828961987370,821936418780089819,4999079428577310915,6693510917539147835,2559234923320087264,2362205846847314520,11765683446904081863,7300643069345317038,4034329818891135075,7085878110477998820,377545116855924405,1420178241244707896,2910648587343943788,1012450201654355700,1392945868644085773,407291210748468225,2715254502489534420,1460193662875715338,6468360491383448840,3802613295017711835,9279728999009714880,6101940163180650971,2108571716033254950,6738003031974113700,7294546137999821856,11439493502724041160,3040794937167869826,941001901507443114,860446371139742040,4302199862810361240,197882151263085485,2544180174480848670,9060929610907972273,6162852598976494710,5743559052119447104,7348759440473683260,10430872265059323792,3118120769621983088,266897729087550250,1334478738397310450,8687984361402448800,267250919960498146,5344978738652936120,8831442454973842080,2192298608733186863,67273036957178760,4709077668477868560,598177042382196836,4154969958591684435,537220152413649657,596906857290119150,6861952189106119735,1466203087289976162,4361124146630529075,1061297405569606015,1419899984550033740,1228510717689979713,6184313696538796728,8914574765893611440,3346336739144215352,1118671528945792640,461947292640267413,46358147632080434,1854312194697602000,6286473587530830456,395541947977309250,3119577025022959053,1392445791098889128,408562234102846965,12256776489781260270,1362572003628279340,4109225869418167296,4324594357907056776,3137747653292758675,885875724262972548,4429345937694995700,3908096597391350364,1736004907981162512,4763694728874484620,7115335125129940254,9084989477000974040,1266102839459483886,203026006078292086,1495188013330443315,3107279164873296728,7383755638341271260,2725181443098869625,1709821719160152474,1780164447709464250,7451098009364990910,164244195639516750,332013018780779547,4426807679689797560,344783506818110065,1153078769193876912,2340420122497741830,1142643036326394200,9998053068659164250,3483954834702105295,1146106441808908203,5299082070591768340,8660859699243071256,4549615756033349407,2237449959496258740,665830865462449594,4254837689720081280,1447476005376867774,1111011778470525626,389063443873577485,4964959659188334624,2468586759565300500,226431319542439630,1358577955383745980,8793223277093194500,1743526533839095506,1060124101138869875,4236891145109908572,3057017145290542899,2002501708850828040,549180571196399508,3643349710159797765,12820128164403683967,3232521358788753577,141937266707268270,473120760275291020,5839467818344705545,1370415684857739470,1453221390269068692,2281361990396496880,2749609944613120516,4492148098198674060,8169721694053388976,12291442683008206248,11254086309976601920,2002144106297685511,6644600501496984975,6234446456332230252,8422492026214644658,5253697127932254300,7075085433341590768,2375494650992464750,6954011391401836818,2614883793356913939,2120676717525854750,2832640809635657384,3444502231753184655,3824564171548788940,9147295777179033096,5861219480510305340,6983722793550855944,4296412474158128300,116747626500970465,233493552593379430,3215418476723168940,766447746733820710,6161020869622258240,92135346372214950,1382020139730809250,68378492306703075,410267969677634130,4102649860509985500,11420813991539753216,4475166579607627629,3036108487706129800,5132576466786782468,2416955351077622600,5473019260461525852,10046290917085007074,1147335215216236910,6863861954024396706,2894256009427724340,4448532672485947544,405283653899257973,2973373199468154240,726190535501792582,10247184516078135360,4690151369115108771,2884899214887085630,9419192261090081240,4233926655303287236,11201263460102160320,1348228232728742226,2865157165682352396,5199597232918383850,4859213174077437688,12896886517145011485,1660487607850778553,8485743930448984173,1711403508145021600,1828361107396760454,8930851317348080250,9979817877657656199,2993531827675477944,6125836278209080860,684001305512836668,5740589034037444960,5266693484501526580,10798868900680261712,2507948152886793640,2361792849293286528,8530065204920960610,3093246094375424267,6789254405845535040,8006030100256372080,1099303120763767016,1956801857212834835,10119481061492083512,3649869106115222718,8950258602902692890,5334022483511632274,7491250392356041400,7251636546526607886,12357952277498075367,8926617933535625700,2208200859507215146,1641441573683983125,1554897932912094316,4836385206586574193,6301581421325637040,675771829785200295,5055645057279383035,1101055975862284246,1790303255184636738,10174701453654598105,5338799649189618731,7528678876248723950,3854849888254017003,4859609849763427216,7418840685110554525,2131144323478812746,13269383696540503260,4859245201329836605,2686417007795324720,1564519594314951130,171704010251377695,186871201375639795,338553008218246609,1626182804575681240,1344665024694594750,390823596061258997,2544013677722742900,829531215439272875,5158831700157804760,1312873190344277320,222043833040585594,2071126720819506765,4701376436152609476,370893293259582610,2271074532618913455,737451751418998336,313624123441062885,381282885632284940,762560313618567880,6022846987420418160,1287475405933234593,3810980629094128620,1159417302799238280,5522318134660710593,2155023235734849675,1729119172330013414,7968967550989343400,3127632388812028656,1357770327366407080,1338807600641779800,574634556374201108,1436576132816334250,1791915577122202683,2767181712644932834,202958361046505415,5412184341805813840,1292177157950769440,2050738613328775896,1433480662450696312,3669363396133855910,2610884232608679244,1224865897092305670,1023441318311562458,2112315870230589548,1383387173188888010,200087566316108799,3334769022297776750,2203506636843120544,2759398867938679581,40281161711094760,805617500806058080,968838990803345190,1021453440671087988,3072081822114311097,4250944800816570800,4349663935060606086,6594991980075462825,9676305012229117808,2777117502423412986,838477623506047035,5989083334381635150,6357866094358057175,1439157648708793926,417439358477346594,1673140078088939145,988720728630117941,2841822744740243840,7894097900222651488,6219010358670728286,6338440600486139520,2207816119558000120,1230357916016478165,273749397427688248,5474949142763832160,4357184084069791320,6867148687501451448,5178581826313301105,10244888515131117648,2285941788975581968,9015168420165788200,5074331705850060081,4201013708851709700,1326818868582269544,2067986520731263184,9314785638184234160,6570985949378379333,1693399437857343840,1175029795451775358,7724889449505267702,5770280052914943330,2357031489629389504,2834184680463990070,3675011998610378979,8200068946873944064,6450905815342534860,427524452373220821,4275214345200046950,977222188396023762,697140646032444663,2987724546926724150,3138148859220866568,799901756701737700,941365594153879938,837582522536644689,1196538026506433250,6310599100954808995,388994183287526250,7487164805314924602,2022147568461817275,1873548365542195290,129232005696567408,9046176712978490400,4839942502955380184,5588791754422494492,1696453573694858375,2345337812341224148,585291022497387540,5590154114237215316,1937877644718634329,3121538702150350925,382735454325092694,11481982940226510900,2107723978075463488,4096669965502386822,712452136969957170,7064617697287206056,5516665093899141420,194811453036794286,865822603233180560,635774182887455125,728014750339004694,2693859377128556325,2671586919623381070,9024375825681314416,579396013976861865,9662488768584802488,9640271484910664395,54349801982641724,1222861977131765490,2717452025008877000,1357970888797045056,6752526768549031400,7655616951608567472,1591005132530493336,5739951674107547640,2121012698364466676,4300436714955350370,2310077675778653084,10705164748619834493,5973366795656506925,1246853904690255939,1200994451912298550,3493804696202049156,9827094534231056715,219420548168517075,3328506231390188485,2715265158086032250,2535269125575697341,7276982600937962385,3102740627375100075,11004676478315917312,1528350456821800040,3055339700239743742,7604798949129730205,11631644768372282680,6272114023745645944,198229849364505825,4085313518689231041,10377535035382206216,9629008769671880085,2605197253340395,5210358219049550,208412877529469200,4168228531393864000,1876170179917004595,1126030698866078704,9852700057857351100,2888072848728711189,914758104372074808,7622931189916045000,13425771925234597617,5817561677274833375,6563428112549619241,828463814224166176,1085929938539832090,3380413179127976964,2430538566422659275,460997291595796345,51055475250859954,1531653625045292700,2049243629171043214,7542581273413163320,705367991111152347,7053630981566749470,787771491642804700,3089460940726998999,1357379199498938480,12144233844030892968,3807737321927806296,3277404381459493880,881479292399033679,2938243955657290050,5635280955330122526,597858695984613024,13451727534435918000,5973207684945464565,7504218579956016450,283452319783260462,10452621163173962312,7581267702934065090,4704290883535987770,602878103895775575,963392208148150478,233308377128316217,2503718970158371356,142594356761213640,740464347125703936,66883456794595914,371567333133424800,1507170166004567988,41860233957936284,1674375908151423840,3439863300751790892,984502292964842112,115066294128040044,142720317550883358,4281524064147947760,15249405496371624,304982024330008080,2112618852244581066,2128786878189623256,254538094317325056,434638789533072632,625013028024988320,584092546921007424,1456049865915923152,948534879980293488,4172942031557686272,1402757393657492436,454970839825431072,986723505266604984,1111890752999045316,1622466881962064784,440066763085435608,630721445447570092,1867382319373811730,126030249591940764,3360739812444138880,508307839458471066,1677643980700911330,1522547902814647808,2565816933641110176,339443629589765184,424296106608176080,140050829059330752,2100720710747128320,1570828587059994472,403063452640219896,2598463899773228304,2001417973641517600,392206636823127324,230408476645382838,973032894913355560,2547889477591312008,951493435647459408,102889227015624726,1028871872859968640,354226524541917984,1791266858787701290,1675012327826534976,496526390889630852,659367282344771568,444164875460929260,1444275966656846232,1788888178104448256,508707113967297216,3042464496392845272,514721648807293056,232396664878283496,1936785539222097984,302825530885398248,1297798041274609680,543567740371413120,295526090574694584,2626846666720088640,603925882559157180,153612638832817448,1927606422875526144,601116767756783856,448609441473290548,404216821267845552,879754872309544584,2080626913908827550,1348366249752315960,834811074461639616,1517833592122972584,948939321859428438,6656645118485808,88753518380963840,332819133196075200,499060389402966708,55097910436692548,1377420622445621400,1081192319651226960,884760575548712688,3366013042892809056,3114810376048731888,2695463028197193672,1941224072709297348,277558734626082180,1670248886424352560,1614100236373089936,638690174101412982,129699258997654632,432322363227131520,54343341099468624,133012708136515152,498787853706342540,82267193585902644,1183562734270879616,975224977308761670,451098392700796920,2628115085072470616,269241529465962384,878263385863863204,1231012481856314016,1249336346472991764,4298365236301208424,214915523628414972,3223669637262577140,2953135854926487552,22216930652190528,111082476036538080,115124265934317672,1439025129009422200,1469969401075397280,2061258541620187896,2482997488711267932,1133890050142923480,1033680335098214640,2926052819915772228,137817791683839726,1625478363347314080,275367278866596144,3130927480856540592,912422394050093208,1225459056188992352,513579278617501932,132499859902706154,2448553887245094552,176671591778537400,713811381984885888,1231316469667997064,3774662406997763634,3564107764276302936,1769690329141014620,2667068933137269528,627053383850634630,604068418867987488,3910173135572364408,936681997359689196,285426481617776628,222599067615381600,362100733404605496,617503665657858352,3929172717208969056,174841278766912236,339133018764672928,817954192069853538,695896504193597328,107324933983466032,62306832488350824,1453797795604117320,1992743080020276056,491938974380306712,1774459207118158320,2742446141278696468,938102837594977224,240579097717335072,2108069069484052192,380780482863547170,374516648748797454,196130175157979216,1531770854393417856,293350858865272956,829105441640953264,1851649603126235232,420505191504894264,2090315739019159384,2456383135528491030,1426811964704489952,410808968669262224,4283637634055838006,101844281228030088,2036846134129710080,1768281326307530496,1064116127747409360,121672886091144360,1946728460916207360,988765538983587648,841320144894620856,2802610931158561824,347716761850734768,965046940667728344,122807898148540968,440724817138857330,711120219224076728,3202868173694909184,2580343050878901648,210944027596466232,354602738349880032,195514525460262252,755346121060826308,768387692845257168,2173374543461603220,982920128240275456,3173425296615993492,742791771848343096,168166910811561080,2017963978387609680,208826917107900036,1533205718238824346,3033579974893814496,1008027814297854024,205889825632298664,963639841943913156,29027206606080672,580532942440309680,2469267237970901610,923058342649120560,615257457061447872,999581145805346208,534663271454471364,271633423161288060,1358140970499332400,1289692276407830592,283038221011947376,1456190948965089744,974239167176739216,2333797667187018032,1265362568195424132,693219395654031726,1251940446340723392,4590314898467977476,2966926426855618608,241968485621987856,1209819187998868320,397204582840340640,587681536240293132,1244667434547784200,1453424634254652840,579526976229647980,432873810021167424,125482655340328464,2509604967388442240,3060384411098576880,2605721903241370662,269368495916447796,1795755551171619840,573227895179289504,1436725975328922060,1172933966961854064,1222996610120937840,1723814694697514560,214335614626458024,84424262875588368,1055283086993354400,28509676238207376,570182614943231520,3400405097165798672,243105540335060040,1944807131004382080,270152359494287644,600690473020136592,754936604143442400,196767637774107384,2751924779881870644,1926059238607420620,704114029717337744,184845945440492352,1365243630846021990,209719063267172580,3664291427041861896,4069971468149063136,361601719173504206,1396493826409839528,3180592731712523904,686354210355509888,2251484545176326304,378254056065278220,1896955499359737408,68653841113134144,343262665983615840,94197113014122996,2084840997881153820,2968665798138882912,222997123859285506,910761287815362564,1255863773566302480,3295517043286023168,3113898338930164674,2241189869757875388,3514889635446374208,1617650836955942712,1690762805874803808,27825512429928928,556499673448842240,1707561758505752280,1595923597518965208,249520860077694870,2495161219720633800,1662225457961648896,4336624589691180114,285664896198405846,2564476804020950544,455057726561642448,934598466479797416,949717986603955888,1101069553261851648,773659441605815280,1919651768286690496,601312059740137872,1148922101508050880,783981751257703580,518561841166040088,4170922203025149066,3495530919640053696,688325994324731136,146843667478215474,2095681219383679840,4151186955480933696,467337292831329996,2858592864407580264,257170098747865212,1714434911344340640,715135161774384384,1108005528996558522,192448688062783014,1924450522965606240,280625540398130592,2806202407227619680,1011490487069652114,1122633340527180240,883404859758584832,3386706915615142624,149927215719763872,1124432905655741760,230499823916227668,731610563494725594,1363612688340425424,1574386106188665456,11011984207835760,165176650514328300,367052307869054000,2358545884667962848,3661291207162565928,4598966943067401234,3515712485772933198,1414972317832288776,1043540671520689024,2045937631278157056,3562836476998410414,2307711992901297088,789257835521856900,28078432220454210,280779043809450900,2058210816408246420,4018684500290125944,2440040301436907196,539404519966375140,2623317570635528592,545846668452801716,1533330031503580308,2752177220724665592,393342894947741392,792247717257741216,79665488778693000,199159986192302500,419105612970701784,4175841956532806304,2512553899968003870,1231632870307603704,3667675806296150880,1175050264914521232,1488643864986587868,2692847194862020308,1605027643330574592,1900250100049771116,136197342895458348,907965292513972560,2325890897679637560,1837988933040868608,2416603591579858944,1797808501972085130,2709468132242675904,2914306500079107072,659425190114713428,3344419772367140304,2051015068391675984,2883474290733365112,3161313609127787274,2597310964172901856,103076210685870048,3547849661109919956,706370539773719612,2330765519963227056,1521741370717928556,313613178857420288,260159995471591038,3036943187590661496,1040785369438451832,1631228548406893920,477922720589021232,147165520043991196,3816254535973570872,149651625867806304,3491806244736890640,2194138830397550256,990550277859636480,190662819394935968,2682951826094936304,422476757082790608,69829816059926848,872856467357961600,1396589036820942096,349252409084013596,875905761137672760,180759728018663844,709720936499443422,271078020474283116,462551890778744100,2810167015833265368,1745393127111909630,1745165385186837840,2789087374173528832,3102504758469006264,916950194225818092,2192823019994258850,788141713884053856,2397890371617358272,663165287703257244,872713646487439920,699251713401129696,532631924652092652,819532137528722088,2869785960078455388,71491065273487596,957092785165175640,3093683654489526846,889817325921848832,3138785022177696960,2427836060193572448,2293833482535701316,136319876004452148,2847162701707693992,92189027823985024,691404929243271720,633336928522636536,70378285350704768,175942463218299360,1703997002983432662,2909384072561301138,185173940307639936,402528551630134488,724020835190354076,2881253431052243136,92344637167165296,2801007295479834476,3045912071871398994,1957499975914111872,1415215524097907136,3187939932995530752,2899719156616034274,742368566899707192,904862512547044632,2000556739688774700,1015947521913056574,1978361735906761344,380189053212810192,698160824065443640,2099853992114080992,1443156569555214096,2813878008538005888,4037281626161995392,338414293734287466,736225368603205728,2893037864315902848,3343717741075026336,413417923666816212,995661690034214844,721709506481625024,758131854534644408,1034209262445902928,493334942599820112,374527081438124016,84090129915101832,1907276833960282764,122266697475600984,2852837295376978560,829127425033085256,2908708904626328172,1270198592573116734,365408150825307456,4647408934274453952,4115930682699783054,1559245609547752752,475337305514219376,855117069384715416,235880915869777410,1870669849779732932,521776176513750180,511901740690629336,91832280997354436,2295765047727666900,2452642471967542272,2567347624896002232,577889896842786312,2201634206745693690,1545748837044433448,117027128365213056,748178540120211912,1007035325939745540,2228804551691854920,551085595067869488,566739167328481160,3342275822820883608,490819399518662892,203714675368699752,1131727562564196900,1381201434372077568,792130703161385040,113518466919256644,648665136272370960,53674814030730054,14095053959854164,704739866245756800,728411022149255016,3544101440137234116,1078387767506348856,1376957949124331232,3272691005964641664,1731008669883251832,881430421343853264,1271725549043451408,117244361359741104,127344816067924972,228366520099814208,290317017704205888,2671173281427496188,1903078624825747404,637067482613093160,134369931928968704,1175715567104801520,1009571786376532506,384096681938467840,1228677675548473380,1102719308325791508,56069211878479698,934469925192559800,603375887344101264,404842042563129210,2741462575614504546,259660833100472976,3549620683609775544,1108699687401133158,313232034212392656,2740730693970188360,258946335371519136,3500930625649709364,1502180118865552830,1571183702436758880,2174722969042855584,106939019745740350,148941176788393056,1985846470326704640,393244056226357024,2489867956320886962,1087032369646342350,2542111725817185280,1920890094314125980,186257325040662282,2071614808090696414,1742261651715282900,2459689166244037056,761517041333376808,1219141816142715216,2397987660390589440,193226788712062504,2663905333858672068,1051116043640261808,137402331274814880,515249461744261200,907099249850247564,4208708557345733424,4496863769317450368,1191307656596618736,2575510298286303210,124501332847207530,1493989121507106960,1205464093006568448,1456018307646850728,4063354915981868352,3429858065451253128,941670769384169496,3477020876499402,278156673695307040,1390758391682260800,345110152620280368,638744789751537976,558500913220440636,98619638854096416,2785573579762208664,2803696785378428904,4478062453604612136,1671243402290486376,879803788383615600,581901339414110706,2244333018944969604,350125742814407904,2474199600150935748,3228112644127208768,3058465918421201904,510957111733878348,275494455781590448,3004720784177968152,1454639487194986092,2050762407410052288,2154562033100698260,809919691017029064,919036726306234404,909413036571965400,1865736745019760960,634920563156041488,2447330368795507602,553496699457019800,508712320668586496,228392132710626468,98592940341949656,1392742345414519404,2814907418030044512,1554788113569226584,1951226535045841304,1466680747191177216,2416182556844213676,612453779633158320,1707680345761294842,1059420228068457288,401853891263049568,734935499797885092,94709959130673432,236770682237027120,1688943773699643456,1450295307101933670,2536193619867281170,3407903607757325724,135947444532256632,1582280131762155640,284615208542469024,2846101492050301440,428747767087563464,462884485542304032,1028601829044232452,599925491103869616,3348980618189107776,182732133812184132,2745614932440512622,2179247936589244224,117035385730047900,382683344750663088,931340159688709392,2185552134738652896,3086236783139763744,2708974220098313412,403219160935973670,2296838630802466368,714989985366710448,1341042704925984972,449460825123918036,1366767073430661528,771069245353570944,206351973020643722,2998112706805698612,1832734874531373552,1344800090650334580,625363203859207704,4685539553107263090,2575422713143771180,1839435255187964448,857791203782815368,477370533112738528,1208314092630011136,4212165233007502632,1021568480653089488,2504122373108940732,34352764330481856,300581383823020160,2146972006484886000,1124274567024378576,827812377413740864,4555743834787078428,1116086853313004202,508556377329172326,1643389031860681824,1473028801101850392,661561867597279758,483947232261297456,335549670617078016,229276840166298088,521643826664336880,11271347971953012,75140997848869920,1127095142597539200,1051719869024512380,97577581647482960,195151732723551360,388622542073311068,1676827193346427206,2493476613433624416,1536482467557498780,3032863817452327992,330649120903271976,814687006951594458,1152907317179719344,1771152478882225164,3242393035033483536,3661972968855701898,1691268479913295152,368080986096359424,463114534381381590,810774628579064628,1632349362674171808,435151013773638948,1480389786915639072,1440438698735272470,2492346606294831660,661486215869399520,182803106184852924,1572987873361768712,1148786686424444544,804734178153947100,630192998020656240,1869079334903436138,399188786256211320,144605076918521648,3237182555848308864,1204947860087398086,371728154864677528,145171439226185832,205192054066366998,1469863738238875206,1710013031845167072,494803331604903024,58311518605424076,583105016016039960,1874906297212497120,10047815404402688,50238201341813760,251186629273113600,644363714169433608,590680668274216704,135756877596644646,949428521759620344,332433007253560704,2493204158205960480,1535150523435176394,3893356530531253566,1295703344553886656,58160594254320184,61124740057134738,181549465699750548,2323671333372439296,229610596066890588,642979291211767476,307617983891039360,379233806460479856,3421282071297011328,566691282264809460,185166868690654152,2027187891908740440,823407487227336616,2846565032464671372,305050926415375230,538480050687887688,754231228434735696,257609704611549996,1484346678057752592,1177902436203972288,1420884051752664180,240266344542843550,1285983362305558224,466338907159337880,2061990907300621120,964258061591533932,1111979972727312336,698955884124269056,746708029142897712,551676519465799428,2794648242488804226,2807056006119185568,775220385148411008,234757148892158002,1601020186665308136,404988024240624960,1393315092556734852,507807916308797088,793505443137358548,2939022557600609052,434418275471318784,1223443456961428548,2624173246275012828,1915238838748344912,286026899744399616,3813626279671311360,518145210037410732,3091531712049901116,2832192957341837664,53185264001687688,1861452196297544760,472527668051656320,423823379695157304,1304498312714543562,607108120112960564,435561602169746580,195729779379069504,3576255339668618538,333838935246712422,1967708897630853696,106542942742508752,178833405498436332,2043775253295512640,2375098124082731120,496789784640827832,948957318350249490,676441369474899468,525759120197203968,264636346476194460,2352282745403856800,1364182707565742760,874028872557414144,1571056962957610800,69334860353444208,231112242423419040,695565261073183776,1196595070304464560,1569963034891995480,63572571818725428,847619786980301760,199816886055440160,1598507747151798080,2863906068482019024,461406607035982656,456171907637902592,1615587522647651136,3608421737150164374,2228322563275720488,379838699233234560,239981904943188354,2568667850098586336,556747985819609568,2857690943540362188,4003349966014586418,2036897101196399484,2181597448675236060,1555237038702320520,4060245388421672208,1595182095217651176,1402920168250302592,3507573879838494432,780613804132678098,33319957299407600,249895425027438000,2498911712712720000,33821990093459456,507321219171594240,1303991399415285216,857023675884283776,3504038231918975652,2054665722778611888,3922698403306042176,911915732568235104,403740030050021928,2301409473059579410,1341362338374357792,1577912194976839920,156646589293410736,2349658959626730960,2240889547047601824,1020111571492748000,3373927960343897418,1307683219228354314,2070963644430069760,2024978951813740272,2328492466433856852,490531788274403412,1500920904953069664,116872741467263832,1170442991058190272,1570976257755360456,195222128365267200,1952188247379051000,367540685945407296,1198652731805342862,2163037066169799336,978789248493421056,1984798959028005654,1026354574546497312,1222193982265217040,2939330166411096576,316270742570374768,395331752234007180,1275226833349619568,145656160474006208,1045398711186517590,126378962159761908,1123349602529927680,365838329801863512,24245419752019518,2182050991599268140,3131237512408724928,2185975285930301184,65796803929166814,845944658387688420,2524928524690228848,332419187517233904,174694357090166370,698765668178835720,758743367291982928,1281999673385638848,407934814338598446,2266266415347205100,3421849190233237632,506496145698741564,262500530219431988,1097880561423863904,1197381929772578400,1834906739954491648,3482857399117245696,1815621383511829296,3223067792845741848,2263408440870995160,3001495795244533824,954064194694932464,1392359092151553504,2036813766217458624,2530584535257773316,398185481231305128,1013175085928000688,2457612091460018976,927657733806291852,3898265222431046496,1827308649847034556,3316341895837875744,543941098617363216,1288669989785773584,54342829380399912,73815932110635108,1722342953079076580,385262606544628512,663139571665490388,541245838052911424,946652701887686556,42885016268217804,3430744015827671040,830411713387833984,1732623096778792740,2822599169461174048,831757099526922288,18073227714150528,180729263252453280,2694570260692959138,218533952522012952,553008497304730680,137330294505174072,839909822944127490,247686748820797704,1407920722307821344,3187697447207453334,2428736793767638104,2505138006506056416,105241504311715488,789298153689908040,266034898283850990,2280261216162272400,681478923503227904,1183836084775170096,2213307138524133960,1669039746240463872,1323000793027050060,2006301730053314844,465320193131168608,252516367994178384,902220423465465792,1452291843139388416,6347796921842130,63476916569150400,888662098306340400,2093187931607514852,755761760995921776,1781573007261764288,2757471171847043328,3773427101393831280,152859367183702638,3057136734253626720,3436362915093424416,444758380937371356,445738119014258892,2792834032042960848,2556350558412897400,3579233785843839696,1308725548627221648,485163087665146848,373139266890525912,621395014517449668,2069308576802316952,3050616361872063096,3356829693493009152,99320664462892264,496595128128944040,1808563811678257392,845818692084555960,497938553405598888,1558191027964861170,62169590741624352,621685662525486720,1207712695538340978,170640795084845678,910624887216237312,3850353581308046208,745946020723401810,2733075873055197648,3687303067432826112,3288693871402216816,69380373624935124,1040688491993133660,3240861681021980976,3444983252920839672,1549582454724633756,2550789583331068860,438588536039405892,2169677920437355248,1353514731426196416,275279836196406564,324838976726156640,279974065352940976,727495761306751416,1587515034701572668,333907503263670840,230874738137106048,384784923810409380,1773881739174710224,1162565334245453952,2503213459984681488,84298440506325912,561980402914027680,660094994950730460,513820245016207296,1491802520773914648,3730851607081628448,16875421802078976,168751458945190080,1124991336808252800,2248667221896024034,944518869685500912,123038533696911264,1230365242690044120,1656533394651864060,1029164776885447920,3028388646510041544,1546458182445245688,1688517554721580086,1022431830191254632,2408993732150266752,2110650124979467350,236394265752670212,1080689253956632896,676455839520234840,183700623638694176,1202153192390143134,382778068352348076,406886748997954496,481165199434162638,1367488903349842074,967901598101623552,719801468986441488,492680056199131284,3532932477650370636,301554310245864588,3416504039170526400,516552776167733456,256022162853130548,979072145481996288,1654855501289277812,1760784946671844872,692830016351255220,1433318121872374016,4297708883800959264,1049933165938196094,394107220306086408,2506336209202675824,393691444047253800,3741247711040495562,130602173773615776,653000293387863360,79818602208976584,280629579632268594,1092873253536459450,693624324091296576,120985039707273576,699243082032212784,1173446722647527172,3225864272436741984,819741293071485696,1905216989247265304,846013104303093456,180636771433365504,1806338544904028160,1504913292653479488,1644034418122727070,1284199965738741296,2540587557122769528,1886246417066838480,1728986350155838536,2062425108955367520,1437401974204238160,2445943670252264120,706488334562576142,1427421669682792680,1072161857749023040,561877430521082940,3772013289749538066,262236302137113040,42876562004567064,357298935477090900,1183709689843294908,3367507404627929376,355191103941254640,772377234902748696,2274645303010567764,340391166813804192,1051216901991845204,1401683476000217976,119621378760770502,1025309646427997520,943001818399404864,160114858919737776,1801263270291443820,4048120653262999128,3243226017507412536,4504189356428832612,3150516635744418234,1192668540916156128,2843472321539534784,1805684410978522272,2639386073456512128,451802926197771264,1886991443493356928,570667802455335114,818739903846250386,1218794120995633344,2880201723502463712,195415411104549112,919984316263354188,1390079773315142352,1988412584506324416,1270206211608971784,439484098186789056,1292602872627100344,172449556720093344,2071335211400827908,2451055799475814608,399482463560203296,1503414691250390352,698136203836940330,1086928840726771608,30129258848552556,43041112633045120,3873638436978004200,1010853191432974464,535764790915020896,2138842401693653376,3767018350222299600,509024046288889494,146031233264799444,973526073244385760,1940716090993415814,799476783491442276,2600010621753289248,385024150153633584,2228490879740527590,2899812290444800668,846856678391859912,352262935423156416,1686755648764279632,123562646923160196,823737912472221120,1002195547800250584,2159199434746909236,4481730188495760312,657474025723781544,1680998862839734656,1905007738572326268,596163549452897472,228460457728319248,653017238853687576,219652785669438912,324156296356108260,526411460740815216,2261001908893989888,1699544342358945250,1805911303833493380,1535294248332578928,467638944478224276,105845368794887448,1058436970685149680,565918971433095780,560814674048324280,618631733918300256,734271969865571916,440729223087318528,274475584760980512,3087801637212359340,662748020203862568,1285644684004861968,229392289853421696,1984609906072462512,1243635380104539852,52378783535589248,130944897298580640,276388063420792356,725108133982995400,1579380772742923608,49781026817796840,3982419520089738400,1648151855914514310,1381964016973776768,2548880396133291768,698554796843766312,1182110115799741644,1122228556831404704,1340238522181478400,672019307057026896,1177001806706180658,549892376632870272,837132794551750500,500273235783893608,217898989942722792,340377415598197008,509207430673625680,2510204680218450990,1119545365386999078,704201252022124992,986880683851823376,1885781107688140980,629121387005941624,143102673098007912,715502173586156640,2878169955511655664,200410241734089576,2914550196601158288,1055428728660655180,91560591199961928,1831183220461595040,2239636015677459520,1397228882862594816,3165158989697238432,1714208877655824010,331088115961752384,213601678078269768,284788448087337088,1174628869753283964,1636571122160374512,956313769080636736,544058646936435528,655625383766001792,1449487036287887232,2107277595096371424,53394684675761190,160328771242602462,534420922681032840,699152555061752616,266071692675272204,641719612306200240,2288423578954343424,280104622707658020,1323974403876522420,854097293307378744,391369319873665768,903972897441228528,2598097032344522700,403741021882061224,4235524227416921832,557613980286250284,724902441643620226,14267528435037504,214009609299396480,713354309675814400,1883537117023776336,455656388504415714,944801186744454256,317799021618613248,658406020964775648,1535313644137920170,1963837537814675280,798819028262139456,166296620690205060,946710309040334118,241196897754020736,435493634150855540,3195878243678094582,911422819626157008,1290484087857637824,1572557073770991168,998627799743908770,1798862203929842456,1852292588241620160,656491980740646204,2532112100963266884,468425288698373820,842078996565476376,588143998646655584,973236068773523658,1046034177920982768,1388345431575591888,1505074514712075792,3000775994811852048,140724956828369282,3006093570985321344,442448742394594008,1330115893568188848,307976913817643472,3007288960655009760,2224980055200629496,689109948965810862,1875000141445224312,278405847888933816,1856010494036194560,4117791763881483456,4050776008381481456,845299600902467184,101391972631098072,1494845803737894558,684427778827932492,1642239054050369040,1526692371583900544,3254078763739755378,39050879295176532,455586616260773760,676305505610754540,2893249550391700104,121365448096841004,912746626938792360,1115436410015254848,1054553711696438650,375972692716425696,4229628156299420640,119959958932034408,421473057422162670,1637225464171064790,1633673334418450992,2149981223184691776,991015115541991290,140395487956418816,932589566335560240,2869450308145031436,382523618312874816,440869224540839466,2282287466550972096,1654609043774273280,180631290418387290,2080830997674120816,48138345271639920,1925504504894059200,1036088308689103296,2168402040888695688,25864063548484272,581932581384325680,656214831886285470,563494917122582832,1926522228367008000,2081125908429731376,753289261908528552,1115032602069014706,235017694592594220,2350141279965943200,313619958964678230,671771147979460476,178160275678864896,2628744671836305036,742884209220809930,455271299963861208,2584848358888708608,186241812313004992,1900489510321359804,685782233619558552,2220933913859864016,1220715074736640152,3701678237762462064,2022514146965210096,1678819337885801328,302840973215808768,2177455002847461774,1435131375405731664,4472625253337068752,1666773818481002660,1213873867887797520,734521010575535568,601339727271679452,1071336501656137416,4502510737658560944,2201881245547026756,192690528736087296,254452098137311368,484249557242808512,361009268652186792,28434287405596248,189559061434993280,2369452594609749000,103658454520478382,13090934994004032,392722141494703680,837184873314249036,1095930413184762504,144543425140403748,963608351318975520,183281826111973286,287918091027802158,2130720274622706480,1876520017847012560,227281900834632408,106539206027542668,142153135356845728,1599198783750149760,2089354870156620906,2356989176701036908,88795098950601360,3995719572892933800,2565129964268389056,351525631739882004,710101199172603480,2342893398506492448,601743332515575924,3041510028614293950,452677215297034368,1428543660157684224,3474193220071034034,329829766339585334,1675800472116135552,320110670459625408,1778366047693691600,1404132262930804572,94975665920378928,4273841168957955240,347690027726131086,517863872939990304,2121377821743081024,156101510419273200,1328885969954102370,505062463174771020,654109697306663136,1093952955648880224,1116654533126136312,1745542845889390320,862436377451724264,1418924581563170752,483032750279334522,1388855557784139438,1320370757189231736,1988664302277080568,2142182598078669840,941334706654389630,133511365381783296,1168207094373432960,750323194559287644,1992086569414234944,155072941392535296,41919092657389848,628777061441796780,1288509513082898526,297049382236317964,3579623351940638160,375554312576486142,461384483103650394,4579971257454858144,458171070734131572,3259239035861349884,229620900888092106,510261117215559120,4440065044202031168,2727582708448884078,1833078515494791720,466956572224623648,276039252767902932,394335962516723220,1026744125320017258,671716639143334368,2448068666530328064,1331722203783572790,1803431520900437664,2359959131220009984,2327309439307218436,953521861021993824,978802978893847848,1058527357113484368,663316094037625992,153610185238773516,4566500420828454468,889552992820790592,2997535391796423096,733833845660315244,388817379127164816,2303724190361300256,2773028055588735600,3057816794687608140,3274074457554339054,48687023155737736,4381767704080803960,2161816142273050554,1724825517650580060,364119351823972008,41465032418223528,829288479121788040,293291574531468408,2606997981297669120,693779903000510112,959097933502680510,2629099323512759286,938973385415349768,201562015448498976,1119772575733424700,1645710082385584464,1144283224109656032,1739531037559301640,1313876929441868760,399682606047046416,1824019493361440688,3129221937599484496,714722931803585904,488939825116637268,2362144416418608768,162368456108018940,27139039176288006,814159290901504020,1004454506630235780,3254372761640544768,3286835481939261126,138034158184403748,704497910604091296,1533929794889354828,405633809416663476,1296261751880917872,469708229499195768,213073801400614248,1420471332010850040,1557411843138018560,216440971754850528,618393781516895520,73398738619447596,570870778679114760,1507856755072277340,4013771685664213440,1392916663280298192,797393188254572088,3115933717787019968,297496491537973716,405413233832092350,2284068996548568210,4112796598179513768,1834692055087130496,2378442622572213120,396108975070362978,2633671140381629568,1071033351545426100,4383061280039772432,1718398836602149254,799022038556052752,3584824264848013488,1931969562033113190,1870741090641496402,413844512862400800,28064726112120192,561286409642760960,939113262193091370,3032063934524879076,572697988134964096,2062786514595004170,3402608512899311370,1475637154537463424,1516638360173590620,3716931365516645040,181232750797170608,1132688362812580200,1263238252330530816,404735934683413696,3541388412373413840,3923490767166716904,499998906811640976,4007719275478676784,343703658216515184,355091215806250968,469009494462568464,269266369048511256,1276232668847366032,54408569285899584,91396426532894604,304650378769044940,3349302657201977910,487010821702389948,743376647529708336,2186706692454809406,381716257067824536,848246182648641920,530970580185337728,1501576410342830580,3918746091215275650,1966792993834380096,404360043638512704,2693556229292419788,1143365378434239132,1949848199455199184,1012397681950727544,783165836668264416,4189170536933927346,166571696124818260,999415890070076160,501182802763343448,1808304113349084736,2478900103217811072,119770686027277920,1197689761367743200,1708302239402685480,672144707523309552,2522125497104056656,235325449314021870,299653222275590772,3866098064097820320,565754806326425544,2074275253571014692,2261400988433331408,1228223232171281052,1287212906936747232,459806648515418020,406266770842861494,2346634705791565080,513331786520913444,1320054936184848564,1027903147145431788,3092728085180927816,2494423491895348992,229745180862211608,2297419187534990640,236103056516319792,923865037230122568,4105922274559251280,2565582493501107510,4607497629218169684,3001720040541574464,383778734550608826,980860079185415064,2794940004724999824,3202389672970299744,821130194275273524,271816064871036,3624162912874560,63421953727876800,453007548054460000,1178530619275706418,3026874817531556352,1705687647301807488,1108350530530151880,1025942400306646350,3074930032756136808,2533868865635646480,2248470599839146210,3528644316307764516,658011757431342096,1268967689527808736,438200589652068712,112920189102882738,721397457137231952,39946807772493552,310693017863391240,2219204593942014000,668122225155234048,1311966177459087240,176367389469248430,224606950621975818,471344951488240488,304693147551426432,2409633020912829550,1011657562646564130,4359174449676652872,1587054153840333332,1507338210858282684,608907110387491872,3513172261851928508,3218153193849611712,3024640241138106906,1087165843699436620,1103575771661660928,200351654924022168,3718162742941421104,126194305894026264,1892888082380283120,387311543389351840,2093879392514969712,105923783316757380,100491220276720944,334966049943832560,681304729606053270,1684537455332037040,584044121211411312,712088308612779120,3384304009774324896,1535360576563111914,1136952240840976128,791146955446959504,1098420600154310154,359308035529376730,1440803080184668956,28727424307471104,215452679699324520,410819983041260828,27697193852069808,123096925199321280,2154166201884589200,5851111796089416,29255151923395920,97515816601540800,2312194777329642390,40154275174148424,803074341392389120,4420302358090011516,1189137961734086328,3275627758966676080,505837468354423308,888804621299478048,3084947866431132228,351822881135277468,1327119774935279184,2258567027980149264,904548757975883496,2411670438678846540,629459088225862476,47772140708717712,955429584078427920,655276313035430616,502175779081835760,4425903921736858932,609063550889244844,4342443608110194270,211926978160638804,483501512165245952,890858862290675190,244108963726621014,781944079052776032,2576553180137218656,873636551294666544,862082655393213672,420824755120384608,216609241619021184,116148368399180984,2613302266748131260,3071763665708816160,338279561757944448,2464377738469274592,17310852332207388,288510234015577200,193750162961378544,800417409411404268,618361167790100416,138522810638456448,1212057930868950480,388611609286037548,3652836670447397586,1887971365012102992,651050629151704944,241351849592558592,728100906149275824,2784333617737399056,782304382484649816,2600838023661500496,885096145716485120,2098775073874947876,565348065258743424,1856076572611530010,629922443791072110,387581353330884504,1738445078098323576,2687690146500361200,2287357713444564672,893461682245563420,2501174579447175120,211618206563915052,1158827358044468628,1183902209977781376,2163955997947729032,188690170918903002,1886875952531459940,95308294963610304,3335744814201381120,1399561463745515286,36950808744245484,1108509151317841440,621920551278183768,36542661007938264,2557951429535055120,621691813752648012,357221157789412176,499312584982251068,2687939467877129976,3062526506880597504,1216301282837746740,384114017447059812,1025358413951890104,20030136538586300,114456368362944000,1716822211428990000,1805616353653691940,1795836192360910560,1965040158316878360,2764954298113708976,3454543744665395976,1778135685055216452,492009728905127312,1870537731018647076,317655665636849232,2268938313099251200,1325213258770652832,1927774462789178784,422817100142930292,1926967385893368360,270008851122854448,841060548556466700,1133437125214502208,1360409522536341816,1630212138636991952,2459218175068424490,1243622872675478808,299310873445679744,748267086407786880,1420620673855412178,256245615967222692,2989491879127229280,1052716817002286304,1531795725405048754,140709145787337204,3066526433543575104,1750043502789974112,452570216647454412,3877018315776593928,638801434045219584,81933829190353296,1229960983613167752,34922064400909632,77603544703111680,1552050043037798400,2081844408818423326,3735092348028817650,389764653882887808,225051324010095820,2700579657502631160,2846929934824482024,484609995107923556,240181855276241232,354767960203856316,477145600117574476,165724071310800696,732098427540620184,590080001376439608,3453967931333294256,223694188799630328,950426816524890880,2194372728600472764,603105649470888048,1453115134602369504,1875545099564032920,1015997210472112308,633236742225561256,96188649640619448,480936830096881920,1840480456251562686,3060216272098781892,991217901812833584,351401328622091932,444259288376736024,2097871997547080448,2133906857518465720,349955065067496768,1934821844109510426,620629404970747656,100931303315602368,1009299609241373520,98302320029904196,471453543798297858,110524662989454996,657167643196246016,2479299538344203952,179440898088840768,2392513549398128640,2165115462356762100,476202226539649896,1004911523093427888,561375571621862256,748191463025155560,1344032424584986188,2329485394922587728,2417165099667947904,3248758601642655500,151715273423893848,758566328999596920,1276154401018422552,730419714194854464,1200555841026391032,888489765209767140,351076110171377712,3095888247098246712,2320032078162581384,1229619218947816140,3722913176003322048,409245110037165888,1364132371269428640,4105007318775197808,4231593282823796736,796213329610479456,4355160894087998526,710830513714913442,2592564764429469888,1381630498279213824,386111686214122228,2379561983059980852,3093917599971178176,864745320636564444,1629908792620209750,960286817470790040,1546839459991387888,1728829703916122832,2600116750718154000,547641157140087384,291688586760178704,2524324866575827980,82369078867410726,1647359974847492280,1704912900835314060,2885323376038692352,112479498267302232,281195062450358220,767755636301670360,15950773423694700,255209034801967200,319007119779147000,614978497851718680,622829069529978384,94302123620433696,628672608319789440,611588362782269952,1266682865317185580,2444018829357435180,575687814260647044,968421332535127980,1290845807416960512,401097891443764890,2619777977621872866,1776826897820958600,1461282392431130544,2169341914482266128,1250246799007461360,29591376751366452,295909915917259440,3230393655215835120,460620049945692438,20368910887936272,543163895265084480,503761004934534774,1315118901264902946,2195996896588382640,607780788385115136,2419343411296508950,1677838802695420134,2117627265788570592,4171116305408645736,71519529544940628,1787965060016445300,4591146414196787112,3015796110949207152,1710985180133235624,1709020789892960292,1464354452169193728,421772588692632780,2328301882363852626,781871753826644472,258365017051868700,29117316260371920,407637159968758860,428667524440697988,1017782777826086120,502918787628627828,3881887639556600214,1357622136345752904,1973335444472233728,447534408490871328,2820486227852106312,412976555539680504,21546653766870912,754123167806748320,278382475140208740,91900274310057252,918990915705020080,1017078925868034048,1464713559630000306,1426417487683270530,298924324822821720,2612182052354110920,1069949859123178416,484258980034203720,378269604896559456,2513684322077707016,110484019809088506,473496867678243780,92271263694577088,4152153630576532680,136493528889036432,1194303074317095820,1392295319142703392,624834008853872112,320168310766589088,2401231598087088240,3845802393227692872,563253828272562312,1382071615567195896,3129858720598974912,2026596798568856712,1882763690459799744,222342924097835244,922037149806998392,262592204249205216,655488496780511580,1088532395154549270,1211795521273538388,2276671475172181752,1321844001175981248,3209294471353379802,1507211617673473272,3859947806687567208,1430116651082678328,4720913706987936,55076625807077280,314719572847910400,1657534005881635248,1259326262595657420,113538609145480632,400204264542079872,244823219852539536,609296691902581188,4544885221520320422,1821670172109479824,1881065967420826752,541654922524283430,436514478942536232,565611147004523640,882375498289137024,164114620544540264,2791081169432692506,38545321956448608,1156345023985683840,2251777880148205584,1838221145525145150,295782180028271680,916169052724962192,1741628905313886204,446446094858604496,3050628799524712704,2165323434340773312,364398121257666492,428274269267825916,1220536278597130704,4528301320559291652,3067888083777987162,1799559539237022984,4028068005686609220,1571848684623874368,2501318477034471654,8568620483801584,42842563263594240,749735424831565200,403585706145724704,2522378948806470600,2260799020143891180,439339467074177824,2800701045072879336,402212490114668832,4524833706843745440,870567168670796712,1895849988309216828,314278414539281060,284768357036164764,1220420517079433040,3475459394709203286,1491915622256708328,1424777453315743824,157412830670204676,72554111830475430,1305957671380261260,3014811579914126552,1578056408664962688,213672028522902216,96052998470493064,3602913697286321472,1689626691861885216,857314493452810704,408570329771375508,13877842254082704,46258897079773120,1850332806425385600,34791456149144022,347910225085125760,2510879562029086416,104026009670400312,100397817574128180,1807138219107648240,1910772363228383808,745155064856069736,332689287508827102,1865774060579471616,690778717012365720,1180843129182607272,2335724249328644256,1108456485554984700,747998538607677456,1586344614313730712,452295175270070352,1992980189928730176,1569732193899509904,428318025220341308,711437078210472684,506349980511366204,473708934077608064,1031515493054978022,3629287865393578368,2284734105212957120,489855274372427232,2163335704935104238,185098342101821184,2467947394156400640,126900458551243440,507595564828376080,3986556039488438592,788058950999460672,2596909112704978932,1124874475675491408,386312591342698488,293951218463771012,390130898532447600,2325552677336776482,1578230959026694368,405508426134751800,1806977840938056936,2312022833788055550,35506636649881902,2130371998962624720,2458317380351398320,328261421991296214,1789889579597388672,1783209730392180288,1355815609818468732,882059751122550264,1327978675396522912,1828792069653754968,318421803068637600,127073308572375298,1507230165645402048,946039027726893888,569773734756044944,2429651250183152016,481250291984926926,1124593705936081580,630854138805918192,511769317492437888,129997495863893638,2525029832406196224,1542510380916729000,67143010892115090,671421909819086100,598034738704225536,1393253587666434672,57157112116044666,247630418159474184,328254497193391032,149760162941090112,1195768905099858090,1764909360677851980,3776182110888153408,400789656380824488,1583615418046917080,438203863466691792,305179806390536832,2026765952459962208,2475367203665467980,728870529850918884,618215548596289888,2368712880954133056,168107045664332580,330967666123390594,2018635444079042304,3395585924565552144,1854501787687666782,203185857784982940,2025562029428154096,1912644149344146528,1371477132817627374,430705444149777942,230987953544897728,1087476256183791744,1369683295437140880,918167451716203370,2770931280626431308,109746797072734080,1536436599875171680,628192662732838368,294735558950802648,2947320021244284840,134884413401662248,1979757980551978488,1457934571319990448,392174387105188032,2134721083075334028,3509578402788934392,3860931210619236624,1288162142387432784,874771758746514816,149363001737619816,1187135658630466380,1683758431788047680,311276492997763788,169693058879526564,281411620049850920,160404559544793348,151999592942950164,2279966534692624620,2975675531723880192,3379365724464217224,568744713564706746,1839290332399847910,566989076109458880,692194147958547936,945394919296462236,331973513680147932,2376076538842486776,562068988474482720,1710005902776631752,1004302996139041860,961623203049778896,899208677848943664,1266097968944672952,292735558177048128,1558183823271650988,378089496961559968,3264875739460059138,567870364603975374,365254112652956784,1592759817300685824,2316689586178649190,253070797541504030,2530677846872826600,2872168322779717632,1839096335879009874,20259259863321492,270120253066035840,996833797847974488,267854305968363348,962917613817536664,619497163483053024,64008506186754696,1280154931551813240,873870861663298368,923689554164401728,328008191836127076,364449226920962860,484778885671476756,1793208239266773528,443239152591314160,2518165265926344636,169262658946740690,1692606566651326800,1654153117949372040,761882268585267612,3523781565100053488,905125815182639592,4079803225621628016,2765070585032031024,136037839262077230,2176579746163902720,878238165215265100,458893300360028388,775354490851458996,237177335218703880,1976454510246216000,1950047292995060490,2023425629064358596,2866808180292921792,131538757598595864,1784772085828184232,2149199306824076250,2041231098161634696,1393557037309725312,2581589651559343704,323773536487730670,1105093976755390464,2835558744400139076,194280980360079696,924984496973970068,313674238324494348,4032907228520439840,3279108615995549632,194729413797239328,1390908099150201600,474912322383601160,2373669634151806452,2026772518151005848,974486583882454104,585601481441959632,2127374457836986890,368121602070092264,2198804562209990448,176410374994799136,1866147998511917970,170610135664102602,1078086746298319272,811223269434992832,320209601862178260,522776733330559554,952155242507195744,345278503683051336,400157549643467988,440218527049209606,2324786595232246824,268604314621726416,426922542353405130,811177329433958352,3957888902403203328,2950362471924415648,634447779210094410,251458148926174248,4317575014659081168,1532678534249553264,928444865054686776,42653873099518116,213266894414573520,489702017288588160,1882890497672100232,1033552981265487408,823829057345638656,1014015170132811000,2008269198664977816,3985642000643567778,1078085287214209056,298564558913278548,2653876541175251040,1593626884171850808,677746532879912520,224707398812395776,318974833886128596,92099648439868776,1841971738170157440,82915952776123116,1934683280255363820,220950205546836930,1576971506799156024,1811958257178597312,1153555046555649660,1091584786881800384,558676855872653760,2693034648603373536,945236345283587664,896497346702610972,1950316383306188976,2692159571149391376,2692345718729827980,838380728738306088,619505933304548320,666062168452135704,372502415881737888,1011180846312133746,2238167614740513456,732773159605255440,1345832480710131084,836857180640090736,466624819144977408,748324369624333080,3838075342597360608,1329999960176785836,182943304920787464,2433248722795908096,3995693966804033040,418896673626004882,730251790668722592,1802533062062231928,4298603250346882398,1204297397623255572,4338045999561769956,978580996892320224,2890709261218178148,501212652646015296,827075972628834656,659301082210407744,739222238858814612,1507434423271387744,360377402464834128,738368676283749504,1604698745060453570,956842219048837104,279170221526846112,1706531472788555916,742465555898516388,308490289335399492,105460313333975832,1581886785984919920,1164046810990496010,884979952059462996,1225758310165597680,158071151716387776,1778280352581253320,3608865787955085936,3115792355721422328,3466885587511072896,294453635889983898,2016951991443791250,952681579257212816,1326181188175374804,2589350016203120478,424897225364770614,1599681341563316928,1325523324929535144,1411606948238584336,1439751814017448644,225579609128046336,669328606340338392,595295822914057728,1839341984695934136,149819130857211672,1248478732893664800,2786294669326527744,423557678563679796,1384573421825581176,907161848629596648,470846846607201892,135441473733503034,1352777825117689152,1333302077381133632,854012544441692724,2756242847155211190,41937019841553408,1118308018211205120,763465061065245672,2086747058196072048,476835195673088700,1385073046783554048,1450293655377872634,39664750049886852,793286147399106240,820371007447565816,225749550936138408,2257470340316856720,1650612773655458528,93656223054860976,1873103598869150160,147672200046770472,921454762772301696,1358387589643560360,1237992100945146470,489248111266848804,2900431692750458328,478445977983925632,289445896794595398,2128073892012107820,3992694903972980992,1677474370882475856,781068712938858072,2573214253751081484,1277953038006680400,589410259729982976,4119201328512540348,45591935287657968,512903594588482080,309966486726621340,560192272922381670,418432264044876288,181897403340806928,1212635955912445440,492230354711925390,2109076677427764156,935930041402930752,871704357084833568,369664238474633080,1388898808762019148,1700876788961263056,886900298266110360,1251599262090379110,218866245595959528,314802970108056064,2512756200432328956,758791181087684370,4482956495302544484,821852202677327064,281792765087532864,939298898605141040,1138604487911818686,1996584535004561664,929334566828507744,537886966514383374,1042614657048240216,135593183291927480,680887022165498016,1611048598342568046,266857567193030814,129946201641751440,284018805246719712,904836825775124550,3820582578458287920,619186382503391196,99488663187199488,1989751527580605840,540258245540522568,814417209149642600,317418855049859292,170888580049742112,2136083956718179600,421786500062848704,313270402593464448,551050050999760796,868142575136580840,279614459413726848,2679637381837785656,1373346569208279030,1460123856597223650,55431302927520376,280219261260910176,467027028823792140,203769295767543084,21965399948010816,146434410627131520,732164110889230400,538928333838809190,250858018989124224,478314048590449632,180663685359848808,2555739485591086242,1811781258712206240,2891483752168634040,1256485163406085710,4345524248290623684,2345547823176935196,137114058826042560,1246367915087762726,515983637096240028,254360880713863440,1695720907459682400,1076095018128885552,2439211588905945366,1382547905967622240,617250680544660696,165683549034984024,1380681375708621800,224054932040192640,210724574864713032,309777109837400064,266995202301989946,796526210333891160,625345482625524992,492938960459110488,2198970702088655418,871929253296022464,2768360013402506424,189095538721382808,472733778427972220,321550070386046472,427893702023822040,2090393262999503484,2638247368774426128,338083893275752704,336624334088391464,966184401743610588,1411735300780733472,485219737114255528,3570365243570951808,415678396836762018,294285686227753404,1420850062798383672,510716627861712516,1623849091240469346,1411654148481105810,286760733385675260,2648690633594906560,267071898722600088,805524662130683220,2951667311272048512,943745947396369824,990766123681262688,1294621920261467340,211658922048637680,65660259277047312,1532056449015477420,159652193235962976,224365962512689272,1925161677928994144,2642601475679987052,1571825041210615674,1732571742364390208,410532427215112896,1416055507447018224,993788664795805688,2828900161147113648,2945461102930018728,2755074507247445616,3205827854082241344,457022022580946388,28255010898025120,56509425240145860,173789998562268594,288563778545663712,214254247448684124,227901814164393768,125223260170777388,237956292034371576,1404131943174901248,467567618979116084,223174163389215228,203277313536016896,6498365413974888,129965942239086960,1732861022816822400,1101583568548344192,2539585023350977056,705535030572504354,1384233288183656890,1864795871438959680,2119048535772428568,3935164488850903440,3198951481056004278,30172769985061656,301724541222984480,502868972975818200,2792178910156082436,180713196236281504,1586146786155990672,3329789914046292624,212239903363556936,235902665365563240,3774403249014804480,930087047380017252,58329332251578444,1749861722807664480,2670627753785714940,2130697197399646608,642545052997911750,813460151725798944,1237065494999959800,246364671759620022,3486701591144669216,1816842267911741184,3453536952769129380,1484810232978645816,490540696956434214,914880998226852192,1167847759998218304,851331478789429524,2729010997348599150,3981684439917495360,3735133433359411788,570008153657643624,3988089108332173386,1880721475126424040,853193098696397472,421970598189821168,123576151589614188,3295329987509245440,385857405936377088,544971896340132456,1394936071417220064,3124034172106598296,3673952576780162688,220210188343905024,1926819287495403840,436994246194984080,630843233622408288,113358123703470684,479885916748962288,651401750963967108,3390205921086634944,733786236204018576,1884672803016494172,100451097157666816,1493198594426735172,2914899747221342034,880325203915128032,347563338073534752,2535067081796906832,74294672231180838,1181012503223193090,670150272761261664,1241438675909851936,126477306561373992,502656806565764136,1945662448772736128,2431387200838064832,4042946721438113424,493375467938860874,2240967333448709856,1693024512682722444,361080264435089314,576401258509894602,535080069291922704,1621791381130890240,814383594732791952,83907123260260608,652604314770974720,3830750055573965604,1016194593644727060,40850332314235024,175071073134288960,692472801614988456,525577326357475732,853172473631567490,2648114003585562048,2163960022042021104,181149562488011994,486168538129629630,2328701553362754420,784959270340772736,2847675012446173788,186933282512338706,1748073613481342040,1370232700797768192,50344843417541292,335628897057673680,665035706859484488,2001301242259867072,326294502648551910,1566100755099152496,211162384538427712,598648013350318512,1046062743306551838,1343339476684962432,425712835067789664,1435601784973133568,223737159759178104,1988754743741800320,2299899106103237280,165743726851937168,2900486070415511340,825793659284844888,822150001373180872,354210299346809952,419452227848831790,332446991501683858,285772752366729984,651008806869831480,1298450957190730464,276696513763117584,370621359294220056,806231112254223440,279616372427715714,2979457410423802518,1025489133317859920,126821675063007360,253640816689541760,31091303772493510,44415704951740200,2220763091624220000,3123977380066377472,1801782529322824290,412917260039144784,334071890244266576,657636999723665676,2000520418369270464,2851525896646304736,1759101598697642496,1742158460336624568,1828386180004218504,9343829916147408,373749485117482560,428051792119343106,1150072372237020660,824734594375009056,1523201115321241720,904858682543656056,2477538859754848260,398485863184448416,3967888918384766124,3226875843983939316,207548135029297590,2490552993387334320,403282779012165888,4517500468963197942,1389503955298268286,679065301671175944,993088240578215984,1831064413573775184,86273229411412968,1294085684947668720,263836193774677632,2453943075889653216,150766373595610220,1206119118249534720,3874241068255655520,1435100584077863830,1017704176932093210,710435785269211488,44500690601382880,534003043956750360,1535314305873101976,1180434154196719008,1681069144493362800,920452229804586024,78141439477908070,625125392312688480,399457723965902712,2663025427571904120,1167922713774559752,1050526982950662528,1860052905743164736,475338057113331570,2222792629713402870,396714973240842344,3395376582782763648,1758883187649583908,872059911227618596,1869528924040100832,238137291662164344,575418979791413716,1733613874626752550,1292431879530137808,519185149802814464,262521011867277720,1201976154942115344,3922937351604404224,2444892748069655268,456463719931022784,10327665179988122,103275649707326520,82828708581146112,1449488346844650840,186552816745645344,1399132571282141760,877837753030855456,597074005794469896,693928733250299652,1734791992715319296,1445471871926598720,361037956893159030,411299519416600068,1615741054518036384,1664206645915489032,1707095826517070010,414880203826498212,910726796758751568,182838112123744,1828363507478760,5223845431279200,156713854426656000,522374488448160000,82262093322103530,1900205056904114724,263068149645549216,1517615966603274480,1011429558511045500,1512193620697064262,1462818041601280848,1292264064901717008,1562880416272553664,1743847094838378168,1250512039707034912,819614285807103936,809630026839460476,5118582502348336,25592667740485440,895734807464565600,2143440015959516704,900607670389082700,1957355409466559424,2727336590500731968,2993738707966526208,1208582670690962748,496853749916065344,832478073613132104,695662963914045672,1330516282303307628,2333774456194150440,807987112557794064,142693107556753336,3322911263734829664,322270939718174304,564226912541689992,1090354049102912922,199977821990486376,2412504369356687660,273231023805585384,1832114976356029770,76262282804152392,635513004176817600,259556311917658008,334591640919083250,1144203830154165858,469672021215410736,813747778197204480,882923320162035216,276730307835142176,416730279782476104,243477353413189008,1648028998470669408,186462891511657280,745844536460474880,1326407798402013096,1511400521983978296,1194158349818155230,2193991324426636416,936402765309658656,1273575750556253184,300103033957999416,489224594901856776,2541396233887448256,1524725348394890304,1945083994692483810,2806373509024728768,3319728181756125216,191936356617147026,402530451052863258,4374581766020314452,1551203496066644360,344164354699300440,548208452994666642,1242400967925083712,580106952231328512,658664904374851374,1212821858691076564,431797903696626984,136738196791043904,2493841384150810876,71276269708704078,1900682817468497280,707351179917104512,2014070012506544304,1941449220302826984,607708701382338904,32366517154918848,161831081799907920,67842365359404812,2374460738943444480,3231424152519064632,311767690261209876,14116016649719334,282317715834989520,3605492482976392992,3741761166609999888,127898908246130562,1340200513663535040,1071397276051979100,28351439037941844,850535309499662040,813291985935724272,114303411226856160,1371628272466306080,2378542499197079544,346933574204492880,727907330103084080,3559659522995525664,2030977247454258840,167547232618115328,930809391404851200,1726958931968366970,2528965502120011344,858758961731783040,1006670434002096060,497168246859867314,2539297182738524292,1134718075888737552,750134115742856496,1917657505428716502,437059655784355728,655402638391249408,1255574095298616816,747744418229265072,402573461132679116,558090279015844704,1345908839692905936,406721858367464022,122925333992092140,245848423179335520,437200515326445552,2635836728732854272,1840504791873822228,924850038874409460,51024024787905504,170078533619106960,1664161058155213746,333201741697974672,2402529088720854528,4290880935835193490,1981605324591048798,361409628514557744,2330010714102840576,1544836917918514440,650601049356983916,1771979750709087744,581962235250164976,2969014129728498474,997745885510878140,3358526435011199844,752519980088735976,3900012205976688736,1312167702332887224,1494785010067117056,940929835616594912,473402007909409086,187212363450618582,594220148583888420,1602500294798581248,1854947553958680174,496047007885262120,1838077369912608768,553801722652835232,972649869404939880,1232891984023823268,615255478169522256,356920869062871856,1614900412714716612,165768791630130810,1138096022244137856,824684610475486752,658899819690127872,1273975880201435176,308395579270161792,26620971315578112,2129658639459977120,819136979724101940,1775072324766889440,129949557192529308,144387106494509580,3035785394112456132,888406430270687472,871874158000350480,1274967736283670192,1412779208880039516,490918191440488416,323196461340172704,3231935829950180320,1009050210747395484,2498926983676161780,1809716717964568768,967898832226865448,588303242651764812,832692214641924240,739377688795815312,1555718867610816132,1011872058753971360,29461493701035648,294612325786437120,3314359301954450400,442820066224071438,466067862893460096,462963156308974704,1032006947009921064,464323442914491588,492086628539705260,2875163431259458368,2224808405267006394,2712843258981170184,3371950529050465824,1362270792042271860,1398429380825215970,2414534179202108010,2276563031569445472,321003486594872280,1443383756126069184,1736611928661970764,2218314702749994240,1139163345331363044,225246663974297124,582032875028275880,925485225770334096,249868207768737168,1665773449327280280,1259055740489725350,3988353827111392896,2648770339767543192,3380030192631162708,1771559482082214576,1364688261974309272,3479559715073892672,310533175032180804,304688912167002416,1541187822850075296,221955032523153300,1331718583143398100,800641876949221968,469340769213126708,149905862961612224,3425774651851584816,2453775273731224674,3811742780046249984,1992007578053266884,582283022625791892,426518568016278542,1814099355507022272,1242144603396197760,3255767023594467592,215978236057853388,421921679319906048,595260926289020964,2819218927147147404,622994393371667064,302278377216617956,3886402677783576480,2241210594019501632,1388689978874607150,1014506881030478880,87764856945861060,250754571053817400,488592931569559992,848059690431525504,1619753533601465856,5795500966126104,57954510856595760,74829063282849808,1948619830078198944,3335554606086898848,1186407655352410392,1852991910263479248,541413583955819712,581282628664589748,4177038163068334026,99026171890021464,485581162937209084,1882561791112487892,986359948523293752,433139490410853640,1808083883023415880,668667862448863344,1655907583573476490,1987550074572900096,1896871517113320360,1202634711949308624,980974533199505724,1694975780373855336,1208675942060121216,3972585605155775184,2969288149613695518,409889010965782944,279134864063437248,2171030485042789440,517147935398509268,1873489553125194528,1617490063691488080,1037311488080920140,506660224635120528,58377860664131184,396023819418368580,574952616376055628,3167432950035775230,984007367044226016,2274173479387996416,1033697066348930328,307522092132758250,883999754445319104,383683376371641984,4092028597780363746,11847756442154028,296191413643819800,439300476421235240,748160124152847156,836817730113576312,148013472608751488,706681157739072372,1687990071753558060,2093988919001496888,1389072074408449992,269541629475558192,2757894972560713678,1633958413189881624,343650895549124688,2454628681371923600,738104854650120708,318568841579812356,635746225602488352,1451130772856924040,760016941118843220,2420659142605650078,334824286736757600,1447272867134390076,189561627684115428,3990379771552722606,3186834943093222464,1357789314109653024,3925039687440459552,366587751095009622,945148123455557336,341401381824024432,3488522598758174076,1381464959137795544,1281936572785948464,238024576670758272,1088135490967628712,868209158433378762,3222090652153476096,254618010452376528,264355863346654668,626106163286278944,835072634974377792,210801360183834816,351332695435769160,2923512902408295384,2334150670773610248,925432914401749152,411460749496586356,751247213828743242,330392092941671004,277997729293510496,2067161495131208880,561529328258139210,717676811988177888,1687674586696680672,2173756992499359828,835747551360741762,2970196626155298876,835362586439963136,570196824930085888,1042328199110986230,202672986797248848,171304807441697588,400495191525267828,4407169502984591178,717059751836220568,222084145578426912,101920351675836276,32136390520362588,107120426904727680,62728933938677112,1568210553455257700,111045112150181028,918001359181917864,57797484822419040,115594028317813320,1032595140038657076,933429668565514912,1034451484666088736,2561950467978778152,2605018224655720400,2080056878762353056,2355354512695063296,1693077638334414040,1394769068033313924,3839965643136806784,2361678916692878244,206496583221236220,72466384696678368,1932421294324259840,797803013441864448,459951581650380378,124378840868512324,942000033584435904,676881269755754112,1438371117434774704,856705374323138646,2345328816404125860,2931566375095153632,1628066600549426268,2784129608477530656,481686213365426048,920074956504808140,1311357442060957896,1522800179430982944,87637253635544700,876365505771468000,240469728743336474,3495280830499970028,355093935963057288,44837718854326024,896747200493861520,451202301068792544,2157846032858684688,762741714900251712,570654189618659364,333017561840313650,2753068035013739712,34711609333338888,1041339978767406120,446925332386297836,2622056876092048032,2365186962012356608,1773517889734373940,113457374399988828,1323658847221658640,378908213552957052,522076244148903252,451852779374733750,1598817594050628336,469082325204290952,774560323203972530,111487042393028082,2972964260153694720,753430792010919312,2973215567793332304,566182947298580334,3003002723405564512,1582119438179887152,244336299173357076,1710172529795593856,487656474992210304,844988717621423904,1740640214301142176,1688906677372742808,381582199319222256,2376701964399039792,1734728840893646424,2443525965874413792,278070817496571936,2162756046039471120,397128010925506824,789861188697118890,204042226974698772,1057444417284450624,1755049269011851946,4424817700295689284,1907399566416153960,575233734336590472,1783856428629555750,365289025659681978,2029367631367535400,55596307179799488,1945855574013877680,1562972392406778420,599736984829234560,1411651908584943696,8789814673988104,175794925750680480,1318451690395648800,728300890869847296,927763314428966166,208729656101567304,191940061221150488,407937269344360932,390744820438321824,1465281722207084760,2449962360192220524,4294043084306374272,1658666054250271122,1063000885064740092,16786935109870608,503604162692840280,1003946230300477284,647597036394039528,538301079688881740,69055035919127808,1307456558438499546,712991498309119628,270379532608279416,386253503230095720,1008765533118968754,680098068298072656,2646073781869532616,1777352474353267336,183444743699505450,1630607435988036000,46672779927778304,233362111398472320,2231087843193235992,1484572279787244684,553511839931005968,3010831509488421888,950339176909482984,3249273834798774444,590833080103348824,2042091986065296264,1525323302389209312,1149951590144580984,712907823173033400,193871999395875960,1938705236374977900,1055091198897436278,4454569098851026752,1249591078322993268,544043156034012752,705579840940958136,9289745606820624,92896751475165440,1161200590637769000,1539147013962414120,395236290299883088,182964236131902204,956241574145096742,331416007424270208,146209027600818828,2924158464740175840,1364214570934027928,1555448624018096832,1453448772092858112,975519652804851708,306836625505552032,1580957268995336508,116963353769656420,487362229970097024,910271332380005904,653375462509655040,2097152063508558672,3824464265419082400,993786688325008664,2821185053420799384,339820011786679752,1507376263506525632,373552234088781894,1685291662828133424,831812770801444896,3365515774328054112,1250011920943741788,1925843168677062698,700620708211775820,963854874031433472,1725283599767553276,3657735220609420866,144040242935388096,2520685488029071440,534861316310418594,2084635292473523952,264842855597298660,1517231766417536352,1074449140607595672,843325961800255250,528563941079376096,502853010697584888,4503069257566077468,1416358933862748678,1329590127593757708,1167014712152499696,3292111220560179174,1069361774657144688,2968058914388394912,1108468494577552224,1015671542533023240,109728934502976950,877825007057829600,361609095703398912,2381895457295805264,2761243247995945740,71219182557235632,626297855032178604,147952830524441352,945381903511936584,349799209871053896,3342719011327690176,1223291721174235110,432971592214949876,1815155128672417728,29338433159319504,195588123776749920,488966734837810800,1796054890258598580,616039019924308488,905550412560178770,1805882789659160484,1971823230837662720,1197800255768255388,4222189096498084338,1127683451742662962,302737442696602452,16963466245478592,96933388377177920,1938653686164153600,3279641196131820288,72862234315661504,2027594429150197842,1916526437099997408,1147064131651872192,1801766776345425648,2431759251832385250,1001064614053304526,1268065352999137536,601282829604957984,4469372076261877452,3926419844518129698,2354226379752169608,343423669766011264,2072505410906215980,831101618851516824,542171049747397488,297400994747783964,1372905779804878770,93832617094830908,1407479149132003080,1297800925955766336,674825352543191364,118195654472310648,1579050760506084288,734256316927083996,3910827420882814788,2874844797502814136,1573574490144572616,1193553099043406640,2619256805502957732,1972818550038269034,1253868666277271184,2252626284538030176,1198790249413076440,2404534853824264350,1961277916544318484,857382492561351480,341927712978340170,400081957431861336,3349151101743626256,767326843602585036,334526808437418480,2508933272711353800,156107456012673648,309253850902464192,36747799803733134,612458996797644900,1748665831125565824,1558609730138172096,666925596654868386,1473220492474131324,91990496401154912,416753185695607944,569474085628267632,3756589046614365732,595524677169847296,1447616936297283048,1188830487969171464,912870208894842540,253640661828664572,724682517782322240,812744155605930768,58219364526403968,776252753350594560,4204856462447994516,432407649958208946,3481256715969358848,2941217761887101088,1746248859872316912,3858261420852853248,885171547756803186,435159942117330960,1634855324964179560,2010083117738874528,3502208011807054032,951082636969119704,1822667552174217216,2128717055058511968,582436397190362680,1349941129610253984,3803187624983534592,453124247401765764,1520678409392863656,134854821805874940,963242055780354000,2921679514933446078,598368829631339856,2939201927969927808,1857329846633188620,774104352239031912,2557270044852190764,238019503275984984,736317152765812992,963297461359772892,482452339342078710,2309517089923709640,184163941481649304,2506954052216218644,617416323843787632,69175671060013144,1729379907537229200,1322678261329500564,2695936469806954584,1652712293521077360,1725723866758245984,2529703496965234590,279422204506497198,2999134250880961788,521699734092370816,656243369334170730,2172706004308839090,2574931018835932032,1809228656134615176,2507212159807578390,1464081562155419658,2477345304853018404,92919990996609480,929193594865705900,3146651373238306362,1915131121107326976,2092934753097172576,812993237574882480,52154286207278640,312923597893959360,186407081276127840,745623281055319920,623619519647500758,67178120153996016,168895169456820996,901529955477083410,2649812583977466426,859719518021343960,2480626592650119888,1693373381875689570,815287811868974952,267747035174576320,261088571693029344,2284509655673867580,492954876960675272,3173665324307883552,65672859403915776,574633668608956740,2862590228425633446,1309197958039162368,256008409239729304,823156045662210048,689194808417465550,858093839270061768,1384894916480050080,1781401389483974016,2586092808946337184,2013861140314829568,1451689487893845360,219237699218306484,815340622774179672,806274888339287736,81449148797319456,542990720380810320,3217583870592216048,3517588811506729736,2000514621746293488,952636967781828444,714744948545707578,1857059093460817320,1752926675106336552,1757646750701921976,2976451389424882272,1006427008620854640,16664030570299896,148123739774767680,185153454947941200,2403171964077552668,1666703627897519616,289771409620017216,1330177929057038964,2884729338740450208,893233303571327616,2448786979582655770,2611795474460330298,1484946984097042956,663049828083896352,797336603897959968,1975852618021444536,2076595482772144320,921254191388019384,2174804553624433332,90715679009078228,1617864812213054256,139107043726141248,1622904939973067240,2154047976124272984,428133296345835696,435786827861160336,336519599970336288,2709054044199664272,2592411239524342656,1109002755067810416,1021109821224394266,1551139532087108864,2155831713217615968,372669662563237980,242695516369520558,832793029787318952,1143026352649202304,2964606514670228736,1712934164701449792,1175965429737286728,904142323971089904,4506361787448893700,3384632173406552922,623338522637111164,101032986787712688,10233271957471776,153498094115933160,18120220167680748,362402080086309120,2420453496808160808,40095718877998476,534606164132668320,1656726001729178040,893895330117773664,2333800107764584350,1011007255632441382,3513206999933577216,741924841554794304,191669445953555726,818014173324238308,556826460469206336,967383268229546680,3843970518403913238,1002745397457394416,1490033708395541376,3551155490838559968,2930395001595499116,663956631497800288,609168119534418576,122649306135566592,919863978719084520,127682526255384090,255363439583028720,205246395641427700,1641960807110139600,254449340757898056,2765238639173171488,883039491661513728,3556673274917663856,1737482704549903784,1618731252964776960,1780089594317800128,1075783301661168880,566497395452598048,822553062675581232,185864830039231104,1707382344732721944,1243361708634349260,1907368117732114688,1969764959919528096,4071150871033288284,1359325675773994,108745375774812480,543723489602812800,354404957205354956,26915857867246098,269156904080169120,1614248532066558780,858878659721900502,1403003760251690520,3943313316593450112,3258231329449907712,373677267695797044,31401792116368278,2512127819027571840,753961435985806704,503548267516281944,22760299369245000,170701191306675000,199798561685080344,981559543884698844,1029906041946072624,565182642097162496,2197671144530561700,250396158643277856,494416669328905896,2312754896169762720,728668455658734192,217213749151620336,724041391451951520,518079878945196840,125702489746201728,314254301409557280,898641099637233876,2232446360618932928,278782850587395000,2484618870170596770,248943387538365970,960098046412221504,1676440526444369352,2541321247994976870,2184048088878608610,424274321753697216,224100323835227904,463386546994305264,461451765347585244,1600581698630353296,312090482355021720,214028932747146696,163801120425315390,2620802075910505920,1835162148519674352,330436707861372330,581133511153935216,3730050478371669504,567675787113863824,3316845015898569216,894280356208928304,272972480629461496,1309892976426477600,1218277178323029132,1634975173847119006,2612693423591791488,504496155418100496,11148112701981970,780363215602670700,110282930645549112,786509819250950784,1442639724862953474,2019737676468868734,2992758857518055040,1801830301939376736,243316444879263036,2545223493585520512,1344874472520058944,697565978272401408,1581479604854729320,299186095598083848,4423305930731416944,1184363427895061436,1297035998059002534,2445812344576198944,175957188520810656,879780736165412160,1143743490086238432,2673453943037001402,2297489298813420000,451187964977465016,1498701821123138148,489066007826129412,1854788537951661180,1748468445655201488,3489529320149097456,1033407879403427172,2589767152046043168,896651148067181136,2389891992795538050,1041073000411468504,183710910605462520,2498338534014286128,439864028167190316,2771386581371744952,497975720312828880,3456585621048055916,418647900206444982,1523880167720276268,1307415434270961036,1445270176524106368,589338414770330916,1920379399636227112,281775695979914136,1842714712101080520,526005671103651816,576302206867842126,2569348288910615904,1591926812704910592,4352109863849553402,2533504682079901008,154238912059857408,180385468414201620,360768854549937420,558006110895005652,1283737418622705132,1574306431856604864,113396102815563030,648935712934892040,2349618996929552256,2559703908266609400,1247742279377195220,487181646111583152,3178485819407162484,137327292152561856,1544923192996159020,1893506017413447306,860871870463907808,3635711398924916832,235304061990109326,2353027196774063340,312684484020888420,267321297766138112,2673197759770182960,2131975995084192894,234173307999453088,2007188380191170880,1332479355166715952,1914128646120095064,534166055127120888,2195851804650853056,1173550847562401650,2712228312923378016,756386872095197568,2142783413797475616,1010591032923371700,891489989071576770,1384837641064530620,1038679286847860160,260123614273770390,2190489089611028844,410604387995681928,364700245522182096,1197854563192565742,2615839658776784256,2063294836641066432,69227000431579320,380587039110020916,794030292242038764,912720599110989344,321298456726052652,3671961865315275360,361497113617716410,1768275245060792352,405039524373994368,156469887380937744,173854463386367520,2094310006929632376,319230867611220936,903283421501401380,2706732345210928398,2488981584652055900,2763355816934693712,705729954848014608,760464838186199892,2310772607628286464,3030814477171735200,550158763501554052,2170875057332530950,1617699688894003296,231669589224116736,2606268536410286160,1158968872082679570,1399626336953892192,4388954899285730304,2516759856015967422,246322746211758918,1276728329197243632,541453193100054432,2692645789638891402,4341665610536021010,1842853253477224032,481217629180729984,99645973337612394,3956674044658274928,3432078472860451488,2201264808743565312,484513591098459660,1245354902834695788,545237187742273152,1796891138344320840,323224551246742424,306208768962979278,203992145385287616,65078463394283328,732128753762108460,2493077019508721904,737250419872445696,297271794891665808,495450319882995720,2190188144647594530,731523975597649008,579408888142125504,889755098938920896,2605353778319800608,1638642868381316160,1598435991186888528,1240058854501170960,223251602058987810,2232504070652563400,3604698937004841216,982948304656695168,1992835144948735710,473108018390136528,859819575805004496,284785197315172712,420351305177963676,1135461892231605024,774183580626611904,1792342589775757110,72255977344886958,1987071485582234232,1405426846538057784,6141566224447344,27295705400882560,614150123042966400,541885438176640344,1505061927987399870,3008098575205812540,995460453851678208,1384676632259684508,199742169408187884,1987858090645468632,1815892856560354704,24086131248585744,240860048018169060,3213325816459787776,14065098661494720,225040399838876160,843897082465886400,1826252732638508220,200605503577324608,1003022280013434240,1998703108340974584,2246280434648093172,794854964338166656,2892084640930784664,2743205462532873558,37795615935224344,2645679372813412320,1338325516428229440,336361406070565700,353464491806032188,524510064794587344,912954207159290080,137825055284909328,2624207690396487132,711356215149801828,2186895753093290976,1064909187218143056,983381113781414304,535855795762782336,1538560818641064780,1227135426893229132,154338509244360816,1157532880013394480,2427989581141760272,2293195988834256840,71542245830231886,1710192026397864768,393480541691187768,1541578839840469980,293277153769711632,463109188279153608,927018482548951152,722423040701385276,2709551648711851902,5961211310146176,17031945800522880,340637187084998400,2099831683697442684,4410151024792450752,3470745752768324448,2760808696398099504,1324062450154203168,1602748448941555968,495640539865097916,2209949268553066310,2442629335471446312,524495041938134352,324711859290918176,310186717090365258,831002489525585592,1265242958241337152,204805008052646808,83449378701595872,3337958430862191360,1438533743624071776,749192635549447296,1739669479750671144,3029598492748435908,2854570547723197824,458133781080373728,284422530799278456,209496542925499566,354960023789988384,3472599517771304952,1042750099316310138,2332693664915707520,151470045443063664,20138036058125784,805517456004885920,22914852597879336,229147393797542880,2673373062850918400,1541915428492155090,223970879818472184,490083886110759696,888642651989333232,2586234290495570928,2087656583658544864,3323469168358383660,1170924366713982360,335800449558386716,1395790310558657904,960865904882537088,581578958113628024,400383637001395110,1480014705798769014,2519446986004727544,748485735983599488,2200418397644562684,313871931849792812,454284846489370344,737464520779299180,3303735118641776896,206301843970598322,285542224669631160,139218225599365168,1167705689821052796,3975872199924519558,2435352271294632384,424780454741191056,2831856043303804320,1446304461843753078,482534070404390208,711980270827743456,56832661221989984,1278728736925155120,3761198095374569808,1507862048087382768,342141363321541068,825529041140139336,348403002706061136,554644307412363672,1163654504645418216,1607905345959444680,8329649116149504,749664850225196880,2652279484694404048,2454524992426002432,59637988160565288,474810756757021040,2689226930091867084,4236682326571968372,1168395454313921616,1329301039452532812,3358066277410042272,1490861844474230976,1796868126249325740,587634516910068936,338080357137653098,372440401276989528,643993609944014064,1128714379734453952,1224354202599393684,490750500648346008,199689418315601388,3942028456095361536,1660559216149376136,982795939339432204,401247521729539056,7573670745250320,45441812564253360,908832016765540800,85046735390857056,425231699047124160,241448832286875024,511327781724627270,19948027882214272,1196876124822185280,490744053948611934,1185953893634363106,3550132696700494944,1707708026237407872,2068404065111818816,236451931086997890,286836612452000808,1446800647186425840,107687262063072042,445294731181669488,2167477541422461972,403011972352374672,136842424875272424,390976566137745760,1803722122865535168,3491511902433453528,4284562824733273938,1493012397188841876,966242932396212528,2875189921860004704,560509647507483984,364461645523907514,813160156874177328,1763364919408406160,141379920688143984,1060344599347932360,263371757748395004,381844812207930120,2432206764516928608,588115042904821050,4108865145288422976,323419790302731672,226542325507715844,3398119589183458140,1333942571129019940,161539458978531600,223187740706148588,793864511364145816,789402519361068192,626298945391503216,867633644608118556,1658751900329623092,2917046926799981568,962855770407262424,2238053939772002208,885451933390627944,1877864284455082848,570829777748268192,942689532189783438,674359845743693920,1038741940598363208,1365215768156853504,317121889591621488,1189201828323522420,4098764377669009752,215817338938709260,3453062197631518560,613134240919419024,466917909321582528,494589171989239344,969301726930707534,1789905898488100544,697637385798438528,320629781805866064,1194419841506697864,2435453505133842270,1080313353613181196,833928038804302992,3828502106116857234,488683600407801384,1315951938828711936,2261948321437078464,2092829885213499504,991014938058795750,395047958127873792,3891498525565523904,2830135437097990736,117745049912799672,294361352590108320,1313257974564485460,2945343532531158432,347012762604035292,1157834436863112860,1866089578224426624,722280163555666548,265598958070183284,1475543436836728800,1335936802411761660,887803283576747496,3438500920040869056,2311520823983020032,1918347970403819400,2300814613890979746,1680160423453767936,883705171555860480,439994975758035540,3517792741739337516,2404349122447542228,4493963416427208108,1449391732871778288,1284653890837763688,1843973669489712552,133107981619988448,1774765594219583360,3851692344694616688,812182703095102032,806817920562210320,75581462300643936,1133717169848969160,2317222549991922012,553305796421385600,952639537803484740,3215784592841161936,76551742726999596,984232579246832880,822609631039388544,825831838832943996,120430936276892172,1212784549758833952,67841321453313024,508807796801736960,1156663803553054404,3820766371663049028,2130004943304268752,3261285695962396944,232260085051654932,1273242149981779968,706734274816011296,2294088933067152516,1264071739230883272,153794826126843488,312861238453413936,1042866511468046460,3758983742419653088,756908770989842784,1167327778199261292,767459094901106852,329946999316693218,293183546919195456,1706425005283615840,515427701669699928,359655839708421150,873085688308788416,714256676528269536,565069315636397484,2561431776933078640,978007758060177840,2264630421483814560,100081092315749170,1401129632229823020,1495627151430948552,2857392134849065512,506294979110034012,158336890966502820,527787514925439600,133871879478370440,2693563239839454528,1443594185206133456,407744177275799808,121452679420187136,173503134424578560,928109797862427576,632554550598329712,156790179286449376,519332383756283856,592687556157193992,3358144760622659392,1442236689314828580,1897683582696871350,1730824226638934748,3418112108911869900,1164134545786121184,405439266141618050,372604045226772384,465753221311705920,1190184671457736416,4372078770113962104,698281726000882452,3399222086759232832,2778740249716113408,2805860949558761088,167781933925117102,349880853947271504,1479185715759946488,461485744186374156,531375770967947010,304240630323688080,537656014958557320,660747255361315848,1166084832611455470,985179558346403136,1391398132080309240,834286772242546830,1381324661216657150,1805776692584300940,525070998015313680,2242514576035180602,2439799930742409180,2227461243245118864,823799383322799312,167401074538720116,57080813501794938,279548951662980336,1385670373386576312,1430330689650436506,1038136165178008328,726201754259345280,3661556252721603876,183367175189623524,661897514804200524,810811654523342208,46830578930209024,585380018516057400,337920228942129624,186907201453576472,1465532304390871056,945434699221753836,584384118760697936,1836712819762862688,1754020458619219296,3351470395350560880,182261074044654924,2239731145858652544,388661131538688032,1762669289783157048,2797588910989403748,490427709583143316,1982080509212492880,3206416019605772274,72768133358100666,226812808884128808,264663827965885512,142317954185376530,2528722662553441872,1453585267462817664,438699274230998592,1151540334299797590,2097625634406592332,1969368107936588480,415759779565411476,1206432231875112672,5498341126358454,164949628457271960,97976567538064512,1959524175280819760,3129994828083598896,813250285600966032,178682443699416216,473866643110500930,2234495065660121070,4161076895597699736,347872067839362456,631674508828394592,536969365809821966,2396471256442096416,475909827013743660,83906028284942474,2367686665805680338,3397593169759353264,538802165986239456,379893377886603300,397032793907075694,3717301154381859264,278720639298659448,3527917211485262592,1242841859453333898,1091123477081810112,362302813811520528,234878797499560724,518400842741138304,1804941774336995712,1265022003131884760,52175832227367060,1565269415728594200,838750084945380960,187462789354996224,3280587218576033520,1077069420489081876,292772983832718408,2119171839162158700,1160633047665127020,2863475091913513248,1238981188333338408,1873598531759527496,518156245770714270,1574173822241447658,1966023433728326656,1817874990948259584,37820421954434394,378202902373397860,1106846202370236624,263325793408803600,258954774352201540,2639378628603177408,857757416045161200,1413898050502543720,324049583940674130,1180054639680534720,1785627811870811920,396288766852566768,638954229025270152,570983383000623204,901797390309863328,2353839936368964,94153275170173040,235382383154122200,2807161241673661056,11521267369501824,115212281161256460,2304237781753498800,1676599363035062680,2442002532435547536,2905461403076954664,2687640482596917712,1420959713541768576,47383263203267736,2369155163824367300,927564081408474744,2528505705975270912,312745667040777648,246415174984941336,345993362970806754,455703605484610464,152124724697665392,676107627100192080,1317184924124863038,3416376007290610296,1455488575726519140,2445013428064096500,347388925826151660,388171651789762056,877575291322546608,1147112143113454596,318901278421319922,1294325902502474688,1734932920886371620,2328878348856593640,606552372192614184,86078752815391848,860784701708661120,866580090987489032,1637568530478535320,1897747298800669008,1454020634137427580,223496727975215028,1465929812036967228,3964993209636285528,3602155618912539168,1991044460031287688,471668310572974746,843022917574898688,104929356392705592,191931399392420592,4318442547300814680,584800289636799672,2945235551494833520,202288152716196564,60877871900764128,1623404709685176320,133399098046993680,1867581396585883440,164768949584227690,874628772219545112,3651503858062446336,58655676280651406,171844176143896356,2868695458770812544,733054757139456012,2197122618912758082,1214801085109738536,2439674713629626312,2407493971157024640,2165640901148823042,90042103439640176,799599263755834128,4442982912717536484,2586559999736395332,1530044691961116060,394842269141688312,380687344565750064,267735516822642036,2699665548104199168,3338416113031526976,615324715937761356,437978280383518644,3406487175282579640,2526976389820298724,740369473052849136,225895673488829728,448995682675131858,985787379659222616,2035395569492585280,462377860067732784,319897455616640772,586319052709319832,3812875608449312064,521639795695300164,842211276847831440,206392383028558848,92397091103864424,1231957468972331040,152846686694577816,1528462231867637280,1585637193563404960,1342648851928880832,1236155808920751558,792671292979447992,836345554912169640,3534953161376319408,423760743100603518,2097799196071704696,985902158471066496,2263753955090308512,326890259379362790,2124394625536745472,1221652553847624160,126991690973100570,761947880785852860,74124503478263160,2223728511571195200,202364906272531026,150189768893666404,1072780895840968800,573519531476661696,1730839053752020432,2904815818611412056,1121633879789205240,241109134427775616,2453628603248619984,340353570047357568,1051043460869240784,4002200213000615424,3485715661450793862,3798528858692839152,243397156780122516,431859148986266112,1571899315438292520,843893321767979544,1621763261175857088,150696131973428976,1799883222306498,125991463081328460,899936436461762000,1491616612546626840,4325920834161305610,1207830348677319848,132033980142357504,1155294030081821280,297784808505794236,3903258906936889344,2247099456530008872,966525915261541184,2485800578178350136,1111879027127488704,2721926160385810896,384970936807034076,1731121780807233330,2296322062919310320,529138587374067384,3051224641545106752,621170582759869132,411633955666646592,112424926605397632,1124246130209906880,1232727958516593480,552363474604082736,865818500851515204,1918245040009624800,666245273929038684,2955133697630408496,841836427088541264,607473377189655240,69028787793466688,345142990030839360,2242963978581705720,3375095243393282528,1269338676825516408,511605146687247072,1019742238895520640,300969545940996288,1504843634303803680,258866895768453606,431800879149466500,726280845724238112,384572739825438234,842979271897444968,615297257825295600,73756453440198304,1185551525873388330,2954344623749523168,948869801345274380,2378339176846348944,2303799298314561990,207152773182518148,244108773640359936,3138533021723351040,3392202436754268676,1368114511683130824,2088219217846190880,864634070789916160,455909649766979748,833407554184290036,1930948646123200760,768988002897293940,122263409920172940,110885777383388238,323994456344736288,474747571978926048,290818142824483126,1218154927936286430,342724474883205504,212352404256302964,1037094850054578870,507551424210550188,449307273473938648,244863929156418912,3575772010585944576,1399172570341396176,480544267895390952,704029072205196444,34529472550647032,394621534030423680,493275657752596800,3432691518887914432,862837507031307156,2992787719880654640,1667099692290610032,3419637373532308104,1780722901911542292,4192830890017570350,930669385156256952,249614788562586720,3993826576465704160,1954907921364360216,3069801058066542528,2007018270739223736,342682158177897648,848961172164305688,1450171961768516448,3738620293922777184,1056525135081026688,65332582389369232,326662103749793280,316271946643305756,1443881679960019536,928552852806295806,247741255029946368,2477406470365757440,472498137010116180,2223100204505525070,3988871591370093936,1287290711180236752,1727979001237861632,1890563878290464050,278543762255751828,1985184446751202200,668287751045318580,2713963833525915072,3512417780223231264,1600577964404927312,3991289375811767568,2429326245014680710,1066251400610647548,309983228156788992,65126716956587976,976898427073501080,381299742992769192,810874987630154784,1005774955583197250,10145705148334476,101456811806580720,27741452697492512,1109655495360891840,1545503272268836848,2890730514472304384,999045743002907004,984284737332201864,836696089086869412,2146604296039636380,1742961313489828032,1209731785390395090,59486919314534328,1189735632705924480,1417994196541897740,894581385818865624,235123557171768612,1399640037785048448,3976949734515741312,468226072152787014,717242408049487944,292125548836123344,3776645112479314020,1549418805249295456,435802972547804598,355452555810693672,365953415149495712,67412288450668014,1348242729308085240,1966404610493908992,3197174085041310192,64553961771019122,145225143107201638,3161370540055807296,120927556440889416,268727304848135320,686032797676740552,3426492968826200064,1403279567314255760,305026702810376610,290612689262934624,4359180737129065920,2726448380205814656,1624991786642163456,480580823906465664,502130323899604920,7326673598119392,146533152709410240,1098996255316634400,806264152529258460,781516236532154984,926920743077971008,1422596957568554844,558529760275983664,2083263321651775452,4271804667374303790,243858714364345702,3499513680400537536,372105870118701312,657197861667477966,1326674676615929172,394401256279779384,2210208448403934980,836346272863626984,1435972587332601024,2353043023812871776,1759667588728516320,1190877067950775452,1402990860909299574,1567525188150362016,2167876478886557868,2853640916630438004,595699600696867392,1710478870538396868,1327395003966075552,3802560983344356408,891732829467351936,1369612114057518912,281627480034201456,629911593765596340,295963585817462688,4313643362258826024,2324728649294774976,2427672544469650380,44052325966695348,3524178933965698560,2419023599053569024,148308912609941520,1186468910170289280,4184134497022100220,1174124607612219648,3737214726465808128,1015581985247895252,575663372270421336,2090658002783908740,896678426051458660,877850301992977242,2974574993829655860,494872407236941664,473386977111386304,695059217579732418,1579485962343160960,787640695344736440,671062017688785558,981541455329197144,452902174480307736,53783298070866144,1613495813412886920,939928388715295350,379154760739578168,2029422361277629836,1194044636669600250,478531784028602106,283248112316541756,1656678662161122600,2495910050466397632,592625442518446340,1293588485524158432,1041922422132660396,1886914797281600864,215277377426872266,1063189975673955864,18178709725801984,1272507294629880540,317208525697436418,1024641990592528704,1242500583879997704,629707125395279268,199458464235093434,987878526924132456,2187333835063990680,1491852842653751376,1368884043060386796,561256744155126912,1220928417268120880,306391061119532544,73103575932051126,208866979824931760,307451902749259296,1317648625180506360,2733663899014663104,403806522768107976,36441646101246744,1822079033924292600,428249464900364826,2562581771920323648,808122982448724672,1542005074892174640,2134564386059618310,535109692373230656,872845879206314700,1960852733665798032,3152023048119289764,9213769664234208,34551575729680320,460686871421810400,605343486888667824,102317971775416512,255794485546136240,2507365101420046908,1425127519763804250,2095941180062705640,2952735221748679488,839129028722158332,776703997170610352,441211003108332672,3285233596573238592,105093501111818824,455170917347902692,44528902433075808,445288272951115520,112865189377508316,64149029653848618,141314090277765544,1651159799323644288,632524616811578160,264701870308834276,1023087191334698700,4150878911775760032,994938783080905566,841176580243712064,460187984426245344,55757324561886140,892115733975733920,803675300108646084,295550480165677776,477421162748977536,2454582692691500238,1585469827108510910,2378747375483844816,142242433268703780,2110506364257243480,1098646305254310720,1376577571208766192,4194560440809010872,1114403498383857822,549199489467594564,3321403337374676224,602035914323635488,13875852111390594,138758303607555060,3700215644161795200,247794092943734304,1909333555705830464,1544250638554726176,359575021423558728,473522337740069780,893790775927230156,3742164202748835936,705525719157870736,1580250054430130832,931155613812133710,1649661325456156080,596916283146625728,2903186561001224040,337361300229730606,2236571956892126448,1133163308964812580,1860356837162261312,313909865801672940,622196906975517078,1720724503392103032,3292029820143627552,797614657243603164,835066455190702152,2740547318168546376,2898887675301322152,1261793402363499156,3213811084254512544,16206859784563968,972410179391776320,120291444161169534,1418579756042101632,182178872854046992,260255160058477440,509562387931309350,113223515975488656,1698350328580789440,2706748763200082244,1829543851938666610,316435525311326436,245420661676135212,2543564701902448704,1608505118428474296,1721179113871628268,3312248564238935760,179435573702257356,881991758700374022,878757154109586380,785682759378716496,2565552861469018368,1099952675112995216,747905103918741690,492555347307200496,1698087022968324176,488612128328824104,1327821482732385456,1275511930501308192,1755677447923178304,60436578607170480,604364983651343200,2042768080472987904,105827866512363240,174184409189110884,580613935694904120,1610131698279671280,48952963565275968,1223822498497594200,2236116297560836680,471394854200306688,213012308193359796,648547547089489260,1781335771420804776,936764014660415400,731627828739712416,2958900916989529278,574132707520111296,740330847561745440,1808655200510377212,55342751443742664,184475607964913520,422280493108212428,1332200758847785344,219951208268996496,1593049531232414912,2455138373349006360,3684877759280087388,654933659048711588,435526273923665034,2836203981001606464,133843361589178824,892288003140392520,3685737175483841472,106364136660306176,253852431868703808,1076339394902668752,1035744095774399688,1355867787086437464,18778792702604976,1314513948835528980,3020959938224195856,1653629229156831696,1789385648969488500,223384603052859480,175134656672915418,502196684027656584,3032208148628858472,1843153739843530440,557222286646486494,1071498400217147664,355513426810633740,421894770106300796,327477150870780636,640039273137497016,2485582840061283456,284043890856463224,2520396645591823416,1600429919649284352,1652289105834192,7081231293447120,47208157268075200,472081061019744000,1080336834695660256,603686025419318028,35995237605751392,479935988911165440,299546605242708804,3987341411144241264,3384826955100183642,1004525799014968332,3132050331483020736,959290388371014696,2070886921023160394,1374218295520809240,721136389972300236,2409568403484019312,46263214041697632,115657917148445280,469348480653848784,514416927568268304,142957269877184154,2147228923307402880,2645600730230164896,3953202587878380210,1175858997274957644,1257302575176535404,571567153400839872,3645384023464438986,249742439954866260,1997937577871925120,3954514453885230368,3540942697748884656,851430655086041688,1796859638386518384,466605437192968920,832613213218742370,1485526555245216726,150418571504497344,36186955027072668,80415380676681960,3618688772667313800,20336632171629504,406732269278305280,133802711009718624,1003519417457880720,689507877705919008,4025081117443551912,4247146908362835576,1530188933387471182,743137035395900256,3219244059490075368,229783247017728738,265895313260084898,952272876483560160,86978190467122268,2218405729629616884,1576117456070805648,2350035637092914220,1796913970128186624,1489301821487149074,3711461616596564688,277848820002146544,1945775870742245280,3129954063444536304,2884966041539648934,726213570786095472,630811545183856848,205072377078057984,176947720350546516,2275040271611479680,27617524198172220,552350039909701800,261549042824516490,345874166937166860,152834985754134912,169397092768576332,1129313066476713360,1938548200189433040,461373141962840448,920147241138414552,535481168459220192,169314669726745348,1544301696548498112,3442152775396293936,907219709548860084,71564422957706592,1908383192466080640,1926705537243110360,2472208256469073626,251923416951984096,629808083909868160,1041899059549913796,3418532161311320172,2299963280130319536,333048935933064132,2312101067439612288,2725330164697507212,223678966957306944,1957189598754442080,2662510309842947670,1374587237979617310,653542324444670976,1267594522307767632,506441623969530792,940267378498290390,1521801465476919408,2738785330264572144,257583036427973568,858609558208804480,1464169140624738240,3425648210284108320,1409257546753247620,2865475280239420770,1653378557888635776,2359082173430799096,3329715467570525496,598537073595736638,3465355342645828688,3152048336377431372,18999607636709658,81426840366364980,542845274578730400,1498791328515391680,141041027250329636,2051829732884554260,103485440921061792,174057429406350280,1392458627658500640,481021075088638524,620050680115581928,500657853523005120,3827049978819348,51027304476745440,1148113712400019200,551286815034015024,769018371601865550,506411440566819120,930971155752518076,659844916199552256,598235105744115912,1473262625804109930,1232159011908483576,535302473455336920,564571131974421984,822789232617244904,170724211902845928,552517440281636544,953154827697023890,2437577912360536452,375047347082482368,125063855274671084,2255480356097717064,12033468329122500,240669252027100000,914931455273131104,115940349753277896,828144971131530800,781249409448592920,499675935328923936,249163982702856972,1720561586806307616,457895234708137872,473055101344402992,288413063662115754,2688501642439322430,2043814006601079168,3656596647649394592,313980908402196720,383852562233701902,2515383203693575248,2653358656884390000,2240623234440172450,3849324483338890272,1869398851770338256,231213117266492352,312093069574798536,362624520997504404,208730105008861656,218163348192930240,3054285738526139040,2542377901678613264,263819704909273632,1595410253392762080,1526179534970087392,2446204864223718468,461681497571855472,1886231188983886976,778317682425520680,445772667786119982,2746025003496943968,689824390690907604,1332324136892927790,493847620827642210,1315257852711703428,4152466504562236128,796583740303155602,551860187682687264,379638976316206656,2074456292600121276,2317409482966305750,673858588092111630,1738534372181891680,1431116561381948064,2433105790424795934,1830846738760696530,308303666981166384,2740476316353029760,851139215587854136,1789639715429184024,396256301935045020,594688675040082216,803806918817311290,430411453240163736,304086224637580032,1561272538350713256,408417585885676440,147263179012276432,841503694940432640,933726392475237504,187340292368529260,1124041520411772840,1974292217559338688,1871420081514216608,535584639882065598,2282200429340838864,1058217728583832020,191641541526778392,2463962233261406940,713177776185666210,1131754989195343872,272504016370540068,450063138600567100,1001236539813808848,3083601553427580,154180054236076000,925080188504949000,417963436562288340,2687404612760782784,1077745920279666912,739828865800143216,2973494876644602338,1982735528364833472,2392078375231167360,568297964002102972,1024457322792410910,2074266124186259520,1188213607405786112,2426328408653562180,705302955905163972,106043946347140528,2385988582843854720,1359865396709805510,43841290091800856,876825735197304960,384125996329450848,460314664022244074,722009960848354794,188654041952355456,1572116928231110400,576931279848436944,2211639436946783940,2116389416346689920,1862224219058038272,2294459608157283672,1944593436345834932,2223923104539686880,1119614865827674560,2691333549796002210,2451852777692588850,403705537040711304,148221624442680928,2223324357746916240,411081339489722172,443253917361905728,486606650714293464,122022184011911262,2033703099404436900,404436744941975424,1218428583731996868,481224349422841956,1624486312440390384,61215291304722864,560764190166703840,729169120083871728,215281634139966732,611263069384322304,56314321075205208,1689429733621894440,947145286226715510,471448187325580608,428958458396564112,1504513141802813646,298606044467911224,2465147223769933440,3872613797148226716,302900282920353732,86998748962414284,869987576622789840,399955432837918320,2997297250982519652,3963910114390445648,4093924340286471528,292782557376662472,2439854947346942300,1139103329386391262,891011455977011004,940065386028587600,1602530741496656016,25267434604782048,126337191721762560,1895058163874433600,1267371750701336544,757890480151826406,1368395840424223056,841958805569544192,1678237599436747776,293368471520294376,1433679064764072984,278911731699651916,1156426455392974680,3128439888516515760,2873734854267998252,315948033480298032,212620173778118352,31547799507183726,2839302557575248960,773817719783313240,285759429266075364,4286392399136925180,2101037181137723232,1010240225750445440,2102348169654741888,767505571609817700,558337443599266496,2333347462635271200,1249994867378033610,833087142901308620,332323761008499288,484818027618050856,232093777320721196,160459839248210328,836675014776120192,275004853821092736,4125073978825456320,583587497767182678,2335838941229190908,336880523899863168,368772112628774868,187681356841936378,2260776959826406128,1607518288801838808,895832235593663750,2333165088100733712,2914969032817282980,164188477305979248,1276779902921877618,3349044433901025408,1117491418196834304,3262175308622681028,622934873291087610,245854542121513928,458514298443400272,510426117351391392,3156319293651373986,27851637809251608,139258240849419360,196282546547957188,1388396648519272062,767441352073998276,2511453828534389568,1161827561134648800,2022603027616377450,45126957282620084,902539510270861440,88234530974546628,882345673264105820,520945048605559032,837365915905173600,233425878376887040,2334259782808995600,168415728871148046,184122084486539624,1705925282414539620,411777550653258864,353028561748476624,1413893291021281344,1336640605873809720,692863175697210920,2089062525983455638,2890138398378601536,633546641285892552,558830324091890160,352896496936146108,1234049059437448856,1840181710854070416,643780506756807450,287530673124198496,3001835770802193600,756553992296932764,108833472731689750,435334113810471000,176604654176840832,1063985606325912736,1279032016703107920,296214685531433154,3411554992115197648,2614429197927514044,704317273361204598,3128859320867608284,2858393331453059856,527637943752798912,690469690202836050,761801389402747872,926607044123779464,354280513536863424,1928406044712944970,2496677570500440222,332680978301978580,165340893658749144,613378688999150712,200289034550403732,1669076282645059200,2704149848729901504,2660361924164872508,1201426506513852408,27414363046038912,137071899662456320,1370719846429795200,853309730586151848,1065411872763036032,980434846044042840,535931309793157416,3057998696361233064,397622088344452824,2380193457000206760,520299048214354692,810893600484136080,40688731667467008,813775173666113280,2849894168500948896,248685735606578232,486744159085142992,1300818636780005376,335829876292521072,1432490401190678864,1743143796109267632,3240715876849436640,101302731027728568,32414351010418770,518629983333602880,148256089218395464,3377482742406448872,2597485556410983216,1233308535418385920,2332428422074087920,164557305093917706,1309249561488338466,1363962037222177488,323613940754337072,1386917926288859220,490974148362267864,1591551498462764832,547003215298173664,1174174291951387650,1392808821204930096,3372601063528523288,2223654176193870504,1411376349849538944,528212031708509764,704336310179722800,817189905881223936,685075724508199552,2137830906937104828,439391648661316596,255323733745001152,1935758315776644576,265162231390905750,1211307124448739520,84043551606210072,840436211883385080,1201923786328799364,12129868326808608,60649392575019840,745148012597899218,193223317399128216,864196211208743424,1760945009952679744,2009974372813091520,97886632684041360,391546870566706560,3660742922523463296,150998271564389364,1529660475900032268,295146734874237360,1475734984694152200,837343059123529812,558947791611315612,363008463544397484,259457752408719216,594372897720503664,2829637146963942900,1293553773390184032,311424921778159344,170895909059944866,556796106246474288,587823809715216252,1377748783079813952,92001214567469042,419957092569466434,1792113681955977072,1964274821354352368,1640702407860819768,709081246181145348,12857562222642808,385727240019353760,1999481073377710356,712210946824113900,60636407034159456,637823492589109464,566259421224778848,516464069044183656,1455184897231748880,2870413048782174000,300264762483618516,3024237492748368,7560601382216480,529242634396039200,255996407861859138,178913376532119930,674185674883905492,3241396025009602488,519858324538749768,599022927591185952,2968655441573887200,3577153554624502432,4238021471270618268,1666305378187310736,578214085945812344,325949990040782304,777222324169211088,723067599509007280,807525704542993776,333428460448179096,2963811749615604160,408497997411625884,379737460115746344,2531585841638397120,1312243563607533504,1494154033377363648,3307172618763991872,348194936267385336,2166680659155635106,407110972507748092,634324034524937328,818901928793713344,187742772418864464,469357464150956520,1735618462322804568,856441898878219464,844659736668637884,1575597955082967450,1205574042709586944,6716162674658184,604455344185726980,1372258303280792048,430132989227428704,150320596881100392,20620696492454058,88374518156127060,1178328308354683200,3563030593444751360,906152103165454968,59906692518301644,1198135292658751040,2969306231127877080,1792083207767638104,3835774322748421472,1469419382005566660,876745405950554160,382976047953189348,2303693464801132446,2032940377216430976,2826054993273563940,109350804876519276,3280528239595465320,721740197558720340,1329853226313541248,1728213743941022016,1918431167493236832,590353678871160048,1870175217320741808,523576147333208346,1714635505875906558,1796276130364171104,3429049013029216416,2386236008440116756,952656281506082412,2361007286873321328,122811892468113780,911624158867285248,278631780651236136,1143114700046745840,714488848145446080,573438392840653424,1733507177989069008,166442012134702416,328173412030976248,1264784489302599666,3240732356346538944,400077926596895744,500098084223838720,3499652635553605314,3987737578620538256,3869034138279042048,1676218139235905220,1055198963792110152,66016126021647384,825202713778561800,900285340023526752,461649454042392,10387127171323980,57706342601292000,923302773927072000,1077181030838433276,76918947379594076,384595279810833720,345078626110781256,3600263543902778304,3994553477769989376,2952292897023907104,1677354410148172624,769432838073004656,846390031844567148,230910896563777512,2468693810802450432,510474083997835224,1753292644593349790,39587456543580792,56553592120197480,523213645478519248,923293426802178564,268905631301830908,384151470247905040,2383880738509174086,2428299031207603536,414496410300292608,2302761278966563200,312781676313132846,42323672345232728,1692949446049726080,1387404003852041472,2182372310436223304,1051297647206901732,503457640729783344,1066534876765947528,1662717995176034412,811385299284192090,1427151814589080580,38193967505542896,1527761064485892960,955056409922413854,1460928971729677824,977119872319037052,256151764555653384,486011466240629520,536802280090504020,219885037967520768,931179499032776472,2291265395266619772,1906054515478429232,1777163185197672480,1324915006845523752,1452875564355306784,299580330384350784,248790034384554696,2436265735187136980,2968534850495287536,628570907783414208,756630678549851968,891247683841868292,1364732392100374476,142818894045589956,3332446324434625440,1554729220056969396,632582356930926990,1614078408860904096,202969836858718224,2029701736729207440,763602171942887928,950391472318395156,166926080390014304,1012414152587961564,747317304954234456,2574344170828965584,1587521402002488348,1053510511452281928,1063038371259016240,2299067002498023072,1416478388463601920,332047886351423590,1916297622536675904,192728092486193328,1280184840176305332,2392206323824377468,1256611122332142480,70202887956973332,1614730546661628864,52974288105564276,353162536384628720,2387174227956172512,1060213676114812380,112113407789249872,840852037744905240,1604130844206017952,70142671996742144,701427962409048960,1129766820203170314,2380561963227069624,1296691267083468300,440370158601032112,3618903080458547568,38788651077190848,1745492439085292160,3949452146222807418,2319900775413999768,1460274940316878272,447744183614030148,1476205164710693208,2094087102303225330,373014986775657776,728895429523053504,572023718212139064,859275653451752432,1178729657639628288,4011840990036517140,3647126239805848736,170923535828589726,347647495979858940,1755708083339992056,1800539060985869112,1998400893174793008,3458194780676826624,2191476531132053460,3430646136730423548,930820547506965066,202791754204390368,67552068115142880,540417571250451040,3155331747131570412,39013931120233608,260093371205809680,433489782194376600,666118370218795008,1975243603113117264,1453411215100074480,2839614652415859570,164167123421400132,46989106352272368,4229027789044971960,196790105255627154,1401567082707761046,678972056143261968,393423454445374848,1399189347846380106,970744545335291004,117180170020526472,685259902219126464,1062083087105864670,862290663375667932,1850810092141569216,312523255407119616,1113676667336853972,1184600069312221380,2577392426819814912,1081374614257303992,2110739005452952854,27640910397154176,1105638648135485440,2289228258016698048,313585345138940562,805850706913835664,1370272342504630464,2544745464080545968,239158132703228632,2733749482954294728,403518713291536428,99233486617893552,1323115879076192160,1837175713984616184,543231711470232864,826585671930022752,65388989491844112,980836881413600880,1606988233346729904,530863002042181920,2149799323995618416,929396684368954650,1789844257758939720,699801322605320772,2218243342376924208,2442721710300799590,425478352123219480,883894131059217264,1310718094939442340,720144225812355300,1397715975684892416,3471190325535773148,3193912277786467594,481209670249378608,708571385300409372,105003632091422592,583354768600216800,996766780937231016,1122813486402450584,103139855258729748,246480227704396224,2156706682626231120,396154511085441240,1752072600255151824,1674514633302122760,1103334132485263032,2703907504617017472,1890367875083266640,835845262038124434,1423153970155647750,3103042274932093380,891975257225834496,3659340999622332672,356996413510965030,854734485244505184,542373334232818464,355310306554454156,356383811002909242,26416800747817812,792505802860953840,3422218171033914966,2702183947943572134,3088277851895808,46324272589320960,463243775853830400,115146349459534032,431799792612533640,877370005176848832,3073977815310406336,1700934182298131610,799805615114453568,4470542773100826444,928600919106397884,420072637237852698,3196626901869468416,4441052690230726152,3020444870024490174,1561177453859019620,1083000331526836896,810631640637744288,75665935087474368,252220372409416320,40991249018218680,1229740351076323200,240957394298895120,1927663685118003840,1580215316767594760,950076059740570368,82414255751367222,2590347697729611888,235828908139655664,1784405013685112160,132672497242574852,1141057855320305958,1032124430555495424,289442239039582288,1570529491819019400,2966663136070058502,470412086784187504,1753070557885499520,28801247443744464,216009877326829560,2880138662519788800,878465052519879852,3329939222654842882,2283617155214623374,284009388692890080,1775063007258298000,285103404262026108,3801388022314803360,2235233941999970544,1446266897986013496,1587460224343594410,1553831070773261616,1126696693657873140,2266819447039530624,16775658479653110,503271001541355300,1587738730566571128,2366964399539784132,1024186281645675120,1956192462212579472,1170445774986766800,848318602430097840,715361033099267244,3063702049836785408,326863373513638176,2396311636985826192,963487758060478860,627701099114340108,226842611496365040,453686372615749760,232684164965751114,1329627179637374640,2573104311556655488,1711540495722987072,137795285559238992,3017087370105218848,1879418057645146116,1645432659793434600,654041929549725724,1338629239102863840,1401456658277151360,1252857456368258460,3625164595954710,217510439070551400,1450073355020872000,122230828562946336,221462582822983248,851714468253358176,637917607926250080,824945494749727608,743031500023366950,3800433873610376928,1479984936955523064,2324568010863917680,1016637304930510074,3160292372161335432,21554343488702592,754404018014452680,307369753342686192,1607909237960728428,1421131636217532960,2475779750486471088,248645994710771210,969358118002492632,2742156583313359296,850015100239843136,739439058388413456,3703955989493274432,755250695320743096,257844670378864416,533205482251261050,2351398804355664306,331132287854657520,514282902664448640,193516241362389932,1935167672409638520,262210612382153820,119784292772702080,393823748363162976,2806311214715497884,691876263279615968,1369689513023938392,2247452322380036832,1534765096965662650,400117491144839808,1497487900771913832,487336666087962066,123021409313482398,917022548056269312,2325067601185210496,2423544154728949260,176853401155119060,1414831149955945920,269380002304005504,1010177830336001580,1457298866167479152,1258314574896888552,397144236515533632,3743913690524384624,1052630959015202292,505793431282228968,185350435163706680,1853509588120022700,581474095698881880,4074143388811660224,44591270585080824,668870959121242380,1592819375811673968,1093705792657612224,695159355728774880,945470264524113516,593985584998726896,3387570381986578704,3012786547834177044,1722221046399720240,1765349382044004912,3273774064392588416,264160267483987584,2660093291045412978,1482350200366204830,2310386459145312000,812253395598864492,637227493919292608,274443793194330666,3314265193941405984,1247171585431201056,1154040271888057884,686112678319088724,2136726851013802720,538300798742706048,377614301375539860,1159349384524938366,721404120168235944,722495456684496936,217320007487647512,2794122643527026640,405164151615459456,106297119420941448,590541305489117400,899887914953479380,298113908788419284,2391808581035035200,835808190212080062,283234419676290730,2965895779041673560,1168280770767269952,2925208883202838470,871762124870596740,1934609926270435296,1663970620116813888,776864714757090120,104034556245220164,156804472036447488,1568049469226349120,2291686459647012270,312726764621718168,2531154754362071556,1237983024962208960,182938936441679088,1242339074268535674,136455068592787824,2180279034052672848,648431034840509310,1478424429725557440,3177281425270591100,302800433734059048,336445962736840260,1804447657209061180,104718419291258928,413889769005223104,1839515780116010240,93377234245979706,866341491249141192,1634362541038077760,265089598067318988,887150363452547220,3341569626881565856,1072700599329994896,1429524638209545840,855195318342687462,2085450021966971880,472049521875608544,1289572505848154484,734036949458919780,1867327709585416704,1301680735571114976,500906706688682568,1506087827578235952,42037043824273800,490433733603492000,199989035090405358,1493980517978459346,948453912606359568,1419278145516604296,362914368236617812,249339508534903212,1963333991774928384,1354798111703737632,10197778851580686,713846812374215940,92434004879438880,739474420003744320,1733679366506941590,926895911789332368,514388084003128368,2561945148799017984,2403256349462919650,1287820859370718608,2299647739492947456,1113756072113748540,1039385603129585130,380556681685800780,1302237759367146980,809074973438297280,70027205620860432,800313542880065280,1499161073895146592,2455657643832692820,405228160327033766,374853003696904032,1874271195161444160,538636874310265968,1467039712263104790,2583942728299470540,1505404994033018320,26726612758675872,467717275822261080,167476711975120306,1036131347019393432,1798417541985231552,1961897819299571616,2697489464428446336,980439281928965376,2375311051466485416,907863546321063732,65950193401853244,329752074726478760,586546129157062272,1287549340228630530,2002981726824241828,2504864789923388760,440247016368531288,1631204849025743082,1309683073838559504,269888950788124008,195281973355549320,450651246835927302,2503569201373828140,2502996993810980480,1498318883022156876,2926959042736230372,1115038549341585138,1693286547550729056,454669567800541824,270400720708278312,1402109394248354064,271018185813144,7227176503968960,72272014151198400,451701647196030000,805314671994232936,20580795114198192,1029043319068985400,330459882329864496,450111263625066672,500125364052680280,4449919724817831234,3500170080032042352,1107371769042617496,929494692574354880,1783482065796030270,554390285093929422,230442735459205552,150674214637579968,17707629602229336,221346147960098700,2656163121316135200,420723765488475648,1407055997863573904,34788877451833560,347890004120697600,779986394877522096,1342829874898885734,1409400255154746636,1527173877779210336,3659356745048619216,59608315005390972,667021095984295402,2260461733857819720,109908265726778976,1236472408909467180,1489022980535619312,1952390861108334108,332203585325163232,1427369593508457426,668313973974004272,3011245036572761136,681905795074903392,2427860769181342344,119713041944803032,1995224576635039200,969422940884245056,1698601756740946370,392263662801025224,2501163664029729936,323978518669593968,704436131690343252,1379193634711959936,1993454229817258668,1269672183478626912,451102079367874368,1134714605293187532,2332035285354453888,86941658243061900,2211445821100273428,179825409263675586,1182853006718327088,2264442133403510800,127352312904576636,849018551981603280,238256123900240384,947841207232949640,3537978255822270942,425066807503635418,1706405170980358968,1302802342461677376,2014495001925968352,1409147567542744464,117475139854245936,167822254253999560,526810078892143602,1267045474455834210,237647620188146080,1188242551387161600,4195838420231583510,1386894797830986858,345066978176283528,1533636782611996320,655750245066986956,1093644667437819552,459304375198611240,585894288994911712,3824944149909332430,485513798348541144,1271916096656138496,232508888076863904,2250334404003607992,837328723784067504,269079506173677888,2376144265310182368,2723188537454401476,121723812087655464,304310692988436240,338456706200116776,3008515574567672640,1779407251991054322,112193267839794900,1121936987627406000,233306087242217418,2305441978048878004,575816304576353856,1497688277672745840,713048493826160526,1119256717830265188,224290723274599236,478296961742355584,2326313242490016096,370583565045855282,1394513440564200376,3914567089673852832,2692645227095961354,2719809895221887184,394042656968866656,2168698973444788440,989218870870155372,2333127361856418144,2469623800890101760,325000322430099144,81404136549874908,2504602670979425424,374815358960326944,742329314621986464,3764321734316045952,1573013071091738608,2780020822333654224,747339803636516712,1948841153091158784,3024846346345644408,313329944247475392,1146399829987172112,1902604406412232572,1917468850113951750,126549442220120224,2371549329070519752,910492598877866550,2688362334982374264,3856529919084376800,2804730496440745536,993039183092991096,405453093377214384,58073805130141680,929184613560967040,797276724609513060,640560766382051634,2898499907821798756,132562052433296304,647159262405099336,2066926596642134604,877457124221476608,1259168766304428180,1133978344218944664,773743575028980204,722973024165688344,430473958371693632,666994809263581224,1440401709337619508,3568549441406786064,3204268492133945124,476820651449233602,720502215818457272,1490539953507751620,1903294632609603360,995017510749865416,2899936668435947496,1294835586909826368,2076576829435076832,2727550416615772104,72683354317056228,242278846685716240,3766659733076830848,1589550972887820096,1577712518806625052,372449313021338280,478691821362813696,1167440503771593816,767812185902339292,2983355102426831892,308332015991489856,230399119744122492,2402183668433636862,1309110399249615360,1197984386263684428,1315619335748547168,1694796286951324104,2234155748908161540,1295302458047490816,1041368761460293926,1858389226099690464,1088031418073972928,2862568598424713088,211281984056981178,1828440602269527006,81408172896985752,542723444316976320,832064172911267160,151341268740351624,2300244988034606256,100388239375497480,5686133709969818,40615413253833900,731080545916741200,1244711048111128576,944582383380881664,189028367762948592,2835437613102759360,1077179497781971860,1048430583909936612,1486391681013072756,3998597666757613524,2168345115414749520,327455319572875624,267614207828372724,1022091617429288640,1200023417638094952,4468965417057881826,1365093916940919546,119418007846922988,3582555704455764960,4251752302987859922,213604495983684322,1050728083870006656,1244219415442648032,724263108564348892,226075030080198516,645931464385626720,1112681464171881040,1985464536765296544,1006535693496163320,33188964591605504,663782189600405760,328531253013454458,556226178814317248,550241181714903480,1225922526450597600,1341060741686124276,3684267021359552832,661040702038046232,886265034274000792,421603062895544652,1237739553878194224,58019874252054192,157953943105306128,1154186634303866664,2655348747172420670,284755282615445376,3072594966259446900,406597012366677944,168261001369732224,119265247769698488,570520739979534048,3597022406551861584,4376929839105213828,1408151568766656736,81461836876274316,232749144541215720,161239904234005516,869063997614484576,419074346080464960,1347560824608876856,722660465823702336,313354114199764848,251882541495866688,1679224494052145280,1127352700047749472,1125307055611685292,1210471468097321280,2910829142070249372,740428812798540440,2869768179929914848,2442464017291169748,622243349387533530,620886713340986964,1508666879110039968,3055629172142866496,2794182078855620574,581138986494763008,467266375042748384,804686900465708820,632750371812996732,51969027192252216,110282918253824808,367611408225026880,334115215491821018,666506416270432848,2272335242203720176,1191331296118264840,1886848835073320880,528834589576775964,137532352953151900,2981313137257264128,651937218947275878,671136635537468784,347659893301307616,468562324527317304,2024668420785984072,1465529945472940752,1235186657702309664,79872585446192576,1996823900297525100,4357565984209348314,1318148273405928288,574443484848510048,3288740110356539610,578460133634370312,886843277700226272,1269829823837743872,1996259755327592688,1275466695612771024,240558813567432192,1000204108125245080,496272223772763654,1350864733347099378,3934492971671882304,2839477627574541072,181144046876964336,452862248761261240,48241313331947208,964830815637384240,311570888833682346,107305426054452528,3219177997767896640,402161774871697008,1013175916688108556,553190895209407986,1698668486912139120,1166548267369184544,1135725199259461794,551628689963681924,1757240917612754700,6444051625946880,257763293634583200,1933233924445542000,1067339754220261680,257888285061396352,1146280050932382864,2151047374035957900,299963957502244752,993869973729287904,1436679750182570388,1379491059494076710,755187843768763680,60160579442296920,902413035816590700,2506127601326018970,2495567278656887460,4301738535071184048,799569225237666078,1105250345231024790,521632920124924104,1218592471992059340,3019009250757693564,1505261910700745560,3289320643757232,65786732439173760,164467630663926800,1261939322943956466,1197532584098463744,3369332858504954684,2698952922583038774,2456771357867264550,3600451480640138388,2939946985746698688,1159124729841201222,3178832495508093222,64415402350081848,1073595305309833800,423404476270924848,816634194614327304,497132707326094224,1252014583467667248,644763610665493536,2739866078993669406,70244575033044992,1053673827330611520,12071983860510768,30180108885326520,1056309038390415600,30722994339606576,351121675704492960,438904271874191400,2636581028149275648,511373559493374936,245496420299088750,2454976420146487500,3563335247261329188,448334943955223256,2354209361000173260,1165941111180551604,3946780258206630768,2981945997865136832,1731338110038219248,157868350137758196,295790109921713232,951580690407117056,2980946804358299616,430160558882062932,433344367951754928,1323902112272126856,1601031569940038688,491406450902889486,399675979331774172,2427759438556356840,3069760469323407066,401207721245283384,3505713230945151072,493659682612848532,2532429176535312516,415565471841754776,142701478613520512,1483206744840001776,898959932205506976,963573991979157024,603628894158574896,38978521322473152,501154972544681280,496818275238841842,453428042544399996,2166715723436616,130003608393770040,433347579665499600,480417002053014336,578598016340787192,1850709318861976344,1006695557285662854,576153841718030880,893897103673627776,3892002008270234144,2449948616301712218,3429340928924167488,1920011336214771860,1969765984338162156,2182998880027590912,1762761854325314720,1377035476556159952,462137656586552514,637073463168888732,58406829180707328,576623794968368532,322053455872278254,1051705215344753640,193208190404386464,4179051449679222576,1024230264718474512,1938091284608329536,780427155134740200,278551313279940420,2560735250986191444,762399725978250324,261754908947183520,2290367450001027600,2092699793065607264,536113281209015550,206281801114335936,1486969477759816672,2827987289992324752,159577220975213622,227968658929802680,2454323582465058816,1746259010363136240,1054908748692834552,1770438005456947848,81650243919338160,1633013515979448800,307962846469276704,1026548259471192960,2467346126951076768,686576164151682504,2874316520965387716,2470941756345577824,1183005204220641300,358888800045697812,382017803583886390,1835755482207101532,567819798930490800,924400117234917792,633969579958020792,795335864454900720,255820051425877284,350933087671800174,1495510973831492424,2343850333544764260,1199858457026180952,1669163804907786864,395960997704491780,1740630681735002208,783895094971440840,3253686305065525904,367470824645630076,92516800511201136,462586498765112960,1833573036225369312,89862172222137768,449313291027569760,1435179405743081856,1871262376744482414,327983416075406620,1209284645572554948,1699720541652900960,1553219277692890896,2590254485486806782,1311321361943252352,2206346967474842472,985047957371731932,680686006216173210,2861027203686240128,189467138441904048,129679577123968794,1465176851777109360,3367498232690328000,971409612556738920,874307803713162268,1069215170123150676,406301241321137376,17937266910299832,418538527812049260,864087309328764942,4123743860608446096,518089567317230112,1311313199219086086,906378084090761632,87834213738820872,1171129317724615680,1380208340412376236,166737239009357292,331760109702292248,2448148758808703104,437268066441247836,1943424407812287840,1364446012915404944,3195730096011408384,2405264786401443930,2637040652645714154,420296501516975520,187342094595513672,2572889341608267738,971081871018896556,788103714683439924,853543233555466944,1507902827505153156,146268508596687792,4128681914334551664,208937891344407948,1750342468758853014,1755537163094846088,372974109388842984,647506649337310008,300796690429320952,3500011353328423164,2892375739132740576,907938579619217916,28914432962551056,1012010862808597680,2650316247772125072,1604486592868827648,1988537487929653224,3625692464735645456,97687620068554152,279109067083544880,391500563815987868,1202470564269557538,1976134768905608784,2532305785541542416,1225390028867611128,204995562509033856,341661215834910720,808707409478387856,54333292289054544,1358340055996600400,825684251136229680,279956508163923360,173566702624120794,688459171349958426,1840248327443661912,237189767672646520,909056687605973280,2495189726241022512,426150369021423936,489763609444680576,770870445037656138,97076688266504056,2343415054323633840,336051881655349032,1565850208915800522,1167745879910873610,2289707571953128824,2325654652164579072,73541452097264310,233309028823109706,649306370234472992,1637001075269852376,1980675838569962592,2595755278557762156,747135584198011080,1766473077515091264,199583660663381732,2447245321646488770,750590763110676672,238003400863963132,2228883547270001256,1798328939639986494,2950271320976644584,1988960376607804080,1851476708312755128,327931500782994798,443962795406148480,3086147438783734944,1712748943728591690,2062542483645389280,754177446586601184,657489582900816624,228371183034334758,2475045799776135684,239152087832455120,382791149473901256,2813505079333418334,677903782012274928,1003653100907227584,250178189669245632,1971974505014221824,2870922829294951074,251066959107221232,2008110868744715064,667190788596765792,1613399910045519420,854029428120693792,126199921064002752,1545345485270642088,257813536633034200,426921426452454912,2930289942875222592,336522670837481248,175904873561568462,1513990411708206888,84734632339578480,1089451776045989700,1030031124247060980,102113191197772032,58180599289476972,249346917853196220,2960080749546239322,1652395223601949248,2183948072472016440,3340266790824869792,1100078476437244584,129428769841709088,1158929125675744544,1332302639999238864,3381874983381366144,1045219122311286560,568932339629816064,1862811951040068228,454533783524883520,406770262499857416,246402793637760360,492808567817036840,3665774858054528898,327529380425386032,87135226416857872,2178393869877602700,2705771679071959872,2209633786776912768,665736050192516112,314701015130289876,465540205865412734,813610630040740740,480815654999962176,1184133008574961968,3265649906540927766,288156243809263632,3924725933359305504,1025913739015127952,1622273785548513456,73596233818688416,735966844522208640,1142864956250627022,1004438755438052912,1254018619531151040,2991212720395546464,2783662345346142876,117996533879783262,875977386624295680,1713534208939687904,876684212471213208,2549857400914562424,377607946259139528,2031142734134370048,134541931118033250,1883598672935689500,894025624343114100,1123251725093179296,1184195390816901320,1793573627203660680,1858221980624097792,123723559225152316,1394275267918917936,2198461617822397704,1008394721298708032,255618447932890272,307844427483668250,1759121965648830000,1512904296525826176,1855748560498490196,694003401515588750,383095103004655008,627463437506766552,245076072383614016,1763590571002338144,973055126879124720,2193473819364492560,1468571226869006496,1078530295033170882,99933614208484446,2331798967675337160,2213486767271205888,883049814491601768,2333815035310827780,435447774958072248,446493131486323152,4004097783940627488,1715762199041199936,2154577283385760512,1625883722741297160,896965330859880354,4295580526021374810,1500953636953173312,491486506970211192,1568401747172057224,806553784827127764,99845112947368896,249614365857841280,242988532667693916,3357644435333551488,1059997529024531328,1036032835933909488,463839745088314980,1352547873664435990,192289024873711260,3321588169443524544,657210430776911660,2474243461571266848,154716727898976576,542015503981158488,1183047739424347140,3247979454197034774,816802296173374364,808402499588090880,218049199092269604,765474282068430528,2087574406610640624,3709387412208566784,906204780457214736,892759956543147336,540293963337894864,941947760003097000,3384354131771196726,1210178266570597230,3688696248003258624,542625123774579216,2452932115508953386,1910725133663131830,1012254259031762328,358329744638767584,1513141788372049056,1917417414891935610,316272869101666296,880788515799131328,4164001407743563332,102712864113142074,21798691727322448,217988334472666560,169198127319381912,1655621298402250338,663094030560441696,598767461551513728,1921668331746207880,2519829994854316158,2290854618964465440,350098003214700480,4363167851969313816,323656663212120222,220341857047939968,385178387145813792,1253285455581932274,155905243292892492,101800284584221368,37683747777389328,502453270564412320,376019911302190218,1735578906355867776,2342326570327274960,320035917052314324,275874547531139766,1667362365225768144,146428514711402592,1835147807635489104,504676559996155696,896625077798484888,275373645864905472,959674272826521000,3104954920606137696,1447208801721779184,788844009167219904,1449843013907216478,1231148715471520104,305844528308578240,108902560529197788,751005368102762712,1989952279660272156,1798833928644209664,968113626623259840,1576673891933738410,273009913526724528,718861364323635744,223828052857006884,243277782691688718,842995610789748264,769547136501170368,2076941628463341240,918664398968016204,2760402997093675284,350627198547943296,1502698070650032720,483398368653794154,616713894160337052,531710305299448704,1294276556421222784,546365459421385110,261027543979017576,1468918961760439136,456668728000544988,54460906233548136,953072287724992540,1067334113250533736,263271139903717176,3384937527819115140,963301196523367944,2380133500564274496,3126385850517337324,3987724836825425628,3260743393534592832,474184107031116096,71888019265855872,718885072749614580,384624006250070576,1303238184598985184,1443376921511566368,1181783054327514408,3350201185318771056,328582873274680944,670535329380072120,1005581837083634928,1671420804532715220,1950993960489211776,1871675408161432512,1966701448257626592,2340877580199258012,517050787445251560,358790217656601456,201401003620046634,1010204348455970748,1398027553535712192,715812182751343116,1870600060875841020,220311916856163558,1529357413960867136,1610904236643176736,13214632713723408,33036809297542280,660740738842694400,1142702378728912032,341715906525204570,798180245588801088,2348982609262768260,683185356308979584,1392283559930877978,3359315999400045258,2445846945540503544,1619560494270084960,73833126169467096,123056063528236520,224475653590088616,1162855561217071680,627024587746897328,584006386587854820,485698247669795328,768688930392451628,735993638463659904,2918490473824038582,1302328347731158968,2645310412551347136,1536909168663529056,320702773809448498,754069462922077824,2631369285235704804,1424726752231667196,362163802892240172,799546255432921824,4467000818954678184,2612278409438752236,1315681133558519376,541048069665519296,948283910722800300,3097672053438336144,1050672628602234894,2417400030117613440,1533110709487853760,284482773770504064,4267271664112947840,1491971267908332792,712843183650443472,1454204609817973728,616601540275147164,64072504810783216,550266099233862816,369341756735893896,1198767586376432982,1218096311954098752,17465717544145704,698633652923183840,1896345828613186032,2146182632722853712,382588121046889296,346905560864278608,2168175163617437700,310762764722080224,530486874605343888,3047532985170693072,2582568400906076418,706915473267149400,72366190045460496,482444708731600240,1197993467892097368,3408839372184416016,1362776026041657104,2712747007094210856,1763440318074022830,29316976261875876,251290167564654720,837639893896815600,1297438560155347712,224060750491613808,910279440516762624,919263664506147324,1840211514270596808,284373372220028208,1895836117922581120,1470634977517417362,175563313471465128,1498136480828500736,1556249828149436532,1890413613614990988,87276082408135136,1108391490592168788,686065889539092672,410490825642353148,235272802222125432,3136993395529678080,1194058996122771876,4112545456284359562,356120680531049478,1187077543396394760,2168006070118726440,2474605228826998944,292874378846736816,457688417369498976,1925390941317806424,935226363870201320,649301493502017048,1584525900737976168,1500980438763712512,3417232740195068424,2811537403258810608,1976756127503803904,1234517292367364268,88017712141339044,3014369011579789264,1221255221783446740,2144745683277156720,1311674616205715960,850860831874339440,340632701633200896,450210470892353108,1117994316032412528,2734684905532220256,1531107773214250384,2430617515167523968,17725987165105584,1418089406803956480,2360866076723717928,318024158574044340,319215609573949056,57166714365184068,285835680462530760,1705539223627960600,1561429043487397632,2276227830995404956,2155879177824710784,1420195422012775200,2118716407319908176,262066743534780460,2730449395987134624,25904562137301888,647618856349417800,2306118085030100064,1095581729710380600,637374546249089780,1874274943641982056,1120170212486302950,269175274966197756,393743855936499288,3302763659225988528,501577026690197260,4496728831790442624,3717150999023005728,802765886655201994,279488867911893792,3513372453361217592,3031758260277268096,2384039140132797342,131195552018052450,304855143510430656,217768334873568192,2449912128436274040,1634503132558942160,202044123013557384,2020456396378355040,1105497451319778210,639793502416354968,621178506335865744,3454338795575700852,1252130945959390344,761395087412330448,724630241316705048,2412371920040704512,2984683163771271420,2652014814108281292,1955662633984970160,772036686026939544,669698983987799156,980272744349532624,245815016952384408,2661779095479553536,2850566068864006416,345033630496872576,2587771845897047040,1986500548912366368,1278441419070761160,174181940992689136,692544680877439836,2644547550716667168,2520377184456412260,856384538245093260,1008758638260579240,14050579099368680,84304116980924760,1405079328339786000,583438668381501640,398735627264083080,2307439138249658190,407901629959753210,1872611735340079008,98775077100768144,1452129248901288798,2455967760076178928,142936367562697104,3811665676689315840,693127474447037058,1477522277235236820,3927376582674039720,667694059543350288,316019048357241108,413143934814962652,1108947747092137416,680866125195280992,572680403770327482,3578875140380418846,4051554264542290752,943150608301714736,727179136345311624,1226474650623449736,348004362331138304,3480070508452792320,959339385149544144,350085661988495848,239040234862242024,1876015475001485160,450803238108141996,1671492723299413308,2980805233381417728,597885080757062328,1925975309254642296,1963673078820341742,1430550352299635600,2393610692795728140,2378595962777265648,874905202812551852,1375121175473347488,1658885357503908864,931225092383566656,468965823253330788,464778585521019576,100460552373426912,1004613367306646880,1488159333174046248,929538523050340224,789482549734633944,120067434162095688,964511242152475660,1252060548057624096,284757486996976848,1663973667305764144,514857846071551008,1676002343718100752,1368934556340554000,1746388557267754320,1003880239695483912,1129575250718790904,407602946336259792,11146862512260408,780286519819434320,961374696926929704,482481471950865024,892408052961452934,3413327434152409998,1021792930656366096,2293385141954758368,1767458044644524388,2981555270599958850,2048454974082522888,2081336119324532736,245342096910253530,627654931909632628,686157339917117376,135616650731797608,2089087717409801736,1831314234909704592,42268017146332596,1268050588147711920,779027510264770848,1306590703368721542,1938965036433444864,622433785175113032,528080625773135856,661814915799630032,2909134439505930132,1665158258761680384,65279946235590536,148754528384478846,4315039400334271392,1032010962297764048,59736885701441310,373229495387393976,2145054551254447580,1287744002056425360,110233575984108060,94179775593690916,2354513269426663200,516749570843443812,1892058932210307858,515461357292548392,1775032623878699340,149428598498828096,213471143137021020,591347004127247280,1570192286331531024,2090730493926051516,2452357392051408288,81370357740536552,2441130420660985440,212820570512273664,709407628827940480,18035543109840618,721427554181863680,2328936419942895776,3513566925770015070,374849437662358626,877402983582237552,353676090600381888,1535202840252819132,151169196813318120,3023408462509238400,1499845141359088488,3380952526094700508,2337634753491998928,401064993962125260,481250776264165336,1098676565813424744,676950130641182310,1917211239289096448,759299472167863104,1334764100487392430,890424381391794900,3804689222912119296,1306581878635477056,803440652844947460,188314972851893508,1749331158862183776,2714660000968803264,367804637527242564,1185931504804431408,1895575852772246784,1403813316002243832,3448482788264614506,1939681276234687530,698829297912012672,2810720509204563648,1167621960174923728,2254744763951648760,475131469864359552,1700975389853269376,654035857305102072,488670321912553368,1860847497557733456,302068580279008896,501706734753486276,982480975377902264,1120355199070598988,204190595399716632,196471797918914848,1719142439096805240,3508327023259255296,3155555548155696768,1920223899934967664,1306715519618785530,366490762227093840,3706778874500877312,334729805979455568,2659623289868458288,894780943468684992,2764159874686176120,472159863157682154,1360995156707809392,376119209955173256,734801238982844944,572726183381659704,1269009604617906168,389473842772936704,434123957398377348,917634480639388596,161168309210599940,2256375160660919760,983980063494033120,4091867374165163802,19636348658893398,523640342698988160,300203409029899656,3444789353332452216,381005044093574274,2509328321000148852,1063241796018823200,814500783891144540,348553571383905888,2293310970411389280,323877186759442932,925371164345062440,518556733821841932,1798838692722697620,463208769681674464,628892566020192456,293520923723046870,495174318779112528,1603877475959980620,1083747154181216976,2048682924414250474,1212122382741592740,37169109794105136,41299359748093320,3716973789980173200,187182609636501504,2156824427660724540,1940417954859011628,747678036786635070,2844033909632397744,397876284330694752,3805327519477310832,646392543552861006,681580252575229680,353991487493922552,7782872321612358,233488153793145780,2463275730110845572,427918111300291920,726970688400972744,809584184065143312,16489022542688256,109927753666007040,45014512549799034,1800595859213668240,928855293338747424,307618134762995136,144991809627475464,966620323497322080,291249773418373704,1398545308375864692,599433582835648710,758167716405933504,1144257926649037956,844472999635589016,2332244160400986000,1175714861025977670,3476317535400050784,2308265491046293716,538724347932531712,850664868224719050,561672603179031492,358124931506858064,337906195326602826,482727290897186220,854392954398069768,1297435404780264240,1721757836851648704,399801861011655528,2908812374743994568,1424965733191456848,83410355151656560,1167755059029582240,615836539103072448,151888632120381288,2278349188441830180,38304284471892450,306436928691141600,2090545484158132992,446393855686950450,3104047435585435792,346535649197618376,1746387532038175872,982756312414213776,988162203750345264,3158268730968312192,1419975404449927872,1329374367000560034,384648956436733902,938160226580788416,98227637415398784,954894284001655956,1847466615398672496,1159868157898869984,2628084985290127440,1984068693414430182,1295705463253260444,1009293944341117752,1005392277827926032,1932591717579062376,958747999661164020,1611468560134645936,2967015436161924816,3208420349436873168,4286651035067827038,218891203533548496,169315234090202232,892209539624129870,1887873105798773814,517196357952042780,836951245999528448,145383655557690984,887976241246293912,200219926346622896,3899187187859780064,1647657132586362630,1593917736326676048,395366322860270460,307984779172913568,200417937864167824,4509443394864266760,465800959348109472,226549316246265224,368392281599551104,1090085180869734660,801177983429877280,87391205461603824,2582456384257549926,1388183626973879622,246786574648205592,274209735533708520,868179688845849160,751945790336098860,1481568913463686344,393347733479617624,1593117215194924152,2685384267015085956,870684318170211648,2191604094603322224,603500268480954696,1502360979797757222,3236606636677549884,547276152137055264,276760801889269994,2180375744459368410,2414089940581107936,1463819485643265828,2335595002479669714,2448347247503431872,59767274465610992,1494195220925215200,2777343147446834340,165916044553963204,2920259502519296256,214048468446044496,720061065784092816,1328996445856860732,2299115634039759384,1775608130331118368,867331437319408500,295527476021952132,3006837479577984360,1525676656137798384,85093911177243450,1361514825790160800,1677622257539725068,2439650455746275688,454178990229912128,3002227767947050272,4113675837431870256,120340938543462180,481368097191858840,386059532432067552,2593548520253407904,1264236987542478336,517339458133136496,1071063890214075114,202084591703659056,2020864204601610480,673483254115258472,1344093763060253136,328814057817507048,256692107839203088,81379099424389020,3662092698934319100,242529912020239488,269480127006779040,1010875217358964140,1013913816516575052,1044217431542558088,449057883168483744,1120795447449420660,661326430731327936,733015786445376384,1899910059838663848,404127063251414712,2018886457094537976,998848626316107864,595212440100076128,1797866587155315960,3164519631878795764,1912453632813063936,699396592745345076,2479769701971882848,608891555604984084,1369600756195737312,1763513325741521376,3547140915737978352,3128299939822433376,1491260850184209888,952791523803897540,3115682617362454992,1784730310528738730,190607676492831768,635364759927342240,144461154404489004,3470546005033759008,2064712326289713408,2957872604399936580,728932950972066192,306083460489626262,56606913025148576,1415185873430198400,2728966013756448030,1515029136190821990,3507957859145187672,4161291628210289388,298436552656599288,481278112698741468,384557233322862984,921983722490458584,323744162061138624,1618735797475542720,15080426591941760,180966795997034880,301614122677963200,2443429255915603450,674783232553159944,681822339599935488,2632552166358748172,222215654592525978,200096639348606352,3390873349950071748,2649455711107269534,1248587532060194610,941484571290133696,1326234839170059648,282327771031746948,2803820945539133296,1866365094070424448,231787312815667752,1034690442829925392,3735992838802132128,838912353859980372,187294626746386752,2137232463003117612,22951468860648486,1606617850642799120,1091154371918776704,1798976192793603930,4338466336389365658,540065296211166264,172255498193117160,1851292192181862078,241469494981374828,1379838637111914240,1247398643843331864,677343741925623984,823349539958811516,824598479806485160,925685017564915104,622191184216516512,384922942624379940,1320908017774551720,340378340272064820,616215190244991440,1105351709169448980,939809365786827360,2175302124987762192,428183746551988110,701341318765807908,944963057292215296,1040577779122145352,1954394219689680978,1189387945885675232,2851748035377970608,604067444276205456,4467257911440911646,3707803073699527914,443017683444709728,1860936128667334432,909485612089490916,3519848720400475470,1905993332408115824,1065403155358107720,323158056381208548,131281084348024072,1355627201734296432,3957474508971149184,1184177427657678222,2846827520022431526,102448800115790520,204899552772803840,25753775079268296,2060321655601825920,46301783556935720,4167200294853150600,466530578519685372,1358594651184176270,375987582378219480,724816979905039824,665134191268798448,2604535076258006544,1764144790563105792,1635553099777888656,2697107455037876958,3739390663413533040,121335786666602532,1612749768645633024,1993113268494415752,2148762932327722730,250347456322093584,4318824014295582528,245529832976132146,431653753611856764,807611283035743536,649718461203309920,639101038165642404,213222444699835872,108479405871408704,2169609026790064320,1093690099213222140,1524831624149461770,55708821727652736,696366993505420800,1904030366260124540,532537068053972052,664043880392511000,316129898128656128,1128492763237718604,2177124278438402172,3555452105085048768,1634024072156454624,296168181585520416,2591496704149168760,800182407938082240,164613319106151768,1902270673649174868,805653653331803184,1653452685206154360,1082688906487778176,176502923838159270,987537000131166936,889261253395603232,1989191828023495440,2179703153161607190,1865152566217254504,360729079601943240,430763157292845168,1165343423906830356,1978561845533888076,888157209179941200,3010252912837950780,251536883896776012,2454702142900583520,708777078300057432,2116122088787712,52903569623640300,105808174473279800,183264440351600448,3207159109693470960,26369565408213522,1318491190847852100,955971677468156580,249377893960238560,2992564087498925280,3024708397270643034,271632826832756544,185441592118984140,1007613620890030854,2251125503741444848,714958421029356192,1881641289111841488,1413428691256098210,466687345735842462,12329071154000424,123291926381520280,1102381990071173580,1618701439858869024,1399312057961930540,1604635665043152240,859090385612095740,3773938245675372864,1145969731114914816,2939659321824545544,1045903809743167144,481618060665897156,519461181989981304,527351718418333440,764543154019624530,51118863486751110,306716220836297520,78338726325920448,293773137620086440,2364704316919463530,1035579223401588936,1242086480667586224,269122691153072472,897084552518443920,1304294977986822144,890851547062061856,2188976775379450650,2290216956572373948,934493513598917216,310805073821184384,558987689916033312,577105465677838434,2831987561514232968,4008436307795093664,3624809464088479792,479910657341319372,1690984906441441884,390103183232774672,2849691649296730704,17255363355917262,172555359730838880,1237798963229318424,261127491303451164,1119129028093479480,556185600900194076,2342470692735238464,923177880315105024,38565690613555188,1928303879995855200,1868378430245035752,451074192539129424,1226617019257998090,427340455005424312,1550992108912180704,569298945351360312,1890988598491184810,473031373461999552,2034963144815086512,352578555555721364,1946918443640010384,2469296085361170528,189993905682985472,2374947780071522400,573367089162992058,2349723238075922448,740847138335258856,475247734290013158,129013355323295988,692560138045898220,3348013462690606848,174051950956022498,1104035900602237470,1454136349760407296,297928116735621892,446351133120970110,1232337394244723796,440115357921210752,261253917793793088,2177138079059906700,2411027246631320384,4326301919241770760,1731790357258496724,1789914460618386448,843449847381758064,328288348696870656,729074960629936272,1210978116129707136,3488383548007553118,3387829257213966848,1088852212504466928,884246418286549506,1242359931411864090,702109044017961792,370955291974092144,813623902697464510,642980780646041412,349407518476838976,151282275690134056,749109757585919202,940347778406800968,1130007421745825568,2793426298176999072,1330480808491726998,1143141168237441276,1579683891038238432,198145046341833000,1935912018021063192,2231731213290008496,2302683257056224420,98792992686417920,987940075714414800,442741932968953632,373155889509065024,1104242705868242088,320026307600878338,159470443983774784,74292420093437484,1416702919825390608,2003497052065705416,2684207684347945884,896663755367392320,3429441810265894592,928479446611952736,1763029989190818576,2829100267753590740,1480853524442156784,2246841004507526412,393409308424967052,3571601044830134976,1638110121999201312,120767271723544776,3220493922266881920,477406420594933836,1060136234198640680,648756239713973748,3359161891141825392,287363683778637888,3383954311636868928,1396708363434405696,1800907577941558384,1563916277456959272,1032135047982984960,146032629181538528,3285768326685053040,613181451943819152,24169137957525984,563952423614385120,2389459844881632144,1355905101717988980,2783210487872112288,682557995163675654,1257061565574731290,972309450938125824,2388499480650225888,901218596321244940,1800094871673536688,1776501950357628096,3080801480028116992,1207316117627129832,3865145123088066000,1876787497315807832,875527595949139560,2225623011487238880,3158694423562362496,1994866699188376860,2641811673433454928,692964394216698008,3379110602154212064,1338112094274310656,1211127941361402784,1499212153001515104,1300591213242748686,2506595175639653976,499167954415447680,2804423053068383544,769997684854704922,85755832213992096,1051307377839271404,2769440585291977344,360519163054957998,15770426726561688,630823721188525440,2251037441622030384,2224066304358496080,488534502677207360,1656003612919369824,743535834007660056,2551796704730182224,879822083114947584,1355982166865579616,924758167229446864,58981006416685902,247813227520021944,2550684552074831712,1160428781011589568,872190614486323176,1515660570098495920,990318788649059760,2705143193337941622,2510275807068255856,188696974633943808,3926111176801698012,2129865000250272908,2531705602161960450,497976585477569604,1657127206270222464,422818915518250020,1691770715891036190,679577825484674688,708208700356460592,1988911308197406096,1626009959492932008,58594425748880616,260422448107543680,287465045130930012,845337293393983056,672002274683068416,947899414756950744,404548038264333894,635168716966003374,793549979827571856,923581350614687328,309544855455768012,34137016969324616,768091107927626640,2076320857843588824,3745780509166590672,514070447025396720,40016454023111544,933727278456433440,638151091089309336,1170019011114165984,895365586191583552,3756651293311523568,1031291025771997152,131001834940302548,1770792723972158256,2898524048864841600,162209115555442264,303587765018905686,3489852046321160520,2509555956191479272,613873736255030220,851135470999698672,97886047121434944,3770973294704945472,1316014674721944138,2236168287538769280,1236775175163645696,437206697757475296,585304832943640370,311115569689328112,32981396545896084,2968357808996592480,1770430002243466452,1496988415826350128,421977783069159352,1433714764212677736,492250138079894754,195645862941594286,2602407586193172792,276694967074174704,458031717959347260,1039161330569584464,479300555811692160,91522893756354644,3260992456527515184,45966302548812612,766113376330651600,28047719216284704,373973660527916880,427301882893406278,211881540611259024,794020043678415264,3371355584007531714,1731054847070419362,2802834284194570668,1351089165367256088,2653380613863528552,2525987458815583896,383228242381542656,357993547274141172,1591099825563982320,423830471787963438,883175588490816840,1945682814238855296,401227703765018172,4123825095621256074,24894988785166032,248952615952858480,1375686012389655528,261821445554046432,397240896487209300,1433629699164534120,2627521167830256720,1902265580900367552,2080397392703828352,3365166503454133824,864988065826629552,852133077016662984,991416009121780560,459426179166327104,191832637054402896,2158140931807549140,366656801394970624,670723661370501288,817685700257259648,45029720027260892,128657762139660960,270883827399730512,2709719078300014144,339994992871648308,705525136084857216,960812143096281328,466350817894706628,2401833816452491488,462859082649267260,230207789275516608,608591899211085306,168310563463694466,1275015706656348096,140046189083856648,769246709993115032,399340114233068322,3065141578333281804,1576354085215952560,210091494112763736,311028436527596964,691181980460223360,2857045295309341752,17761511982570312,1243319662749490480,1261201918191971220,1471426605902127168,2995715103452327646,280606988069460144,266070836321763720,1086114689856847260,1144636721678612448,383680002482933238,841925507730580284,2130222176871192000,122607191669950890,209994162035183648,542075927003953152,169545407355346284,1541562958134515826,1697954325765546546,1812073409395291260,405772766838592032,672840126471982536,1420610747103400446,108366967565046128,33738356221240284,1686936715336464300,1951365618967080024,1017973326800580840,13872537113273088,208090391788522560,346821212828318400,2096981821998565920,772952871783586464,1359807615783218580,1251935258925127350,528006330400551736,99206290107383040,483897334325134218,2388471879287769138,112946667601990680,791641246922817984,1030766097135616452,644489365908011580,2180568847180191168,738630975512381600,2575445090220880944,1529757070123400496,350094419076330688,1580408105904356148,1573385567050707732,1073570437875436320,1027234654879079664,874014873804287712,1856558585076834848,2588647753046617344,2009447188251394320,898206192804901152,3168179083843800390,2757859511805616824,174058722313916448,1740606960862926720,712625677806644880,2043134346288630780,137943958578554688,197065035600834720,891319606802732636,2339407798561936872,1021838754509604108,1424152130012764672,15163917451698384,151640899829120160,1516426257378374400,2963360354906044512,727776322277141730,1316369473491079224,641568576726481536,944830233162176544,346596216825946318,1980572404904466960,3005754351080014848,396528722511195864,2286876744295301610,4556851739188185636,1948996723582794928,2668661301447357264,1691781609108431880,1456447584219401268,464490359325243720,2943642466807533876,1099496809400761056,1787107312125560460,29672550643805496,1335280083001961040,1866645151455427344,630789222674999682,3533634034943397264,1100045034388061604,643167546010965756,54899601371308376,242803014216576264,404676340779653760,3895856295838930704,585804327860245284,2703838443038790120,2421760429188422304,3390689080008649650,1866986827228749282,621224810944546300,1126441492816970880,1966808035774575864,603877105446209056,2954996116415733888,2780390664735761376,2966778814789338416,1015921248004428192,1004009686959548088,147464495167371792,1829522776711370784,4542188215758932736,1876249813716522464,902033076406083552,220452059730519936,169865837307752072,1362652246172752272,2127473790675202944,4443338359367782164,1794285353978536230,83146615117595568,277158598229457560,456122860855385940,1966174323017316192,2959976814419326912,1270039499890563072,368177454215591724,104895339770888674,220304003061059904,629447328235954560,94721473634619308,1753844834932299432,1886996109347012592,369487047007494464,414946055007183414,633623203118814432,1982708388840389056,1730838125570807160,1022200875947257290,1418016462286622496,4429575091085731272,2396749755666856464,1112968192024224432,1036609646597408814,1852819381215182592,367316896491450444,63563879238445272,1112380897907936580,562839079304738412,116512622923319784,884310310269151776,4104909358278474924,3429644271847195584,319491577147096284,990819602352844768,3578928435396397044,1656965611681899024,213327801448809216,1213055239008124116,1484967321846316386,1108545957310168776,132595052066699796,308067982459531368,107943090010442224,1079443595672468160,1384250768026409160,66932889099136644,669336770817344520,878439878969462208,3736518532046214112,269190895108681386,1553242285762414872,960265685406210084,881000403544763136,3152165296249694676,1292791062251302872,474180527171455488,1673872557275713680,2641629535493663484,389923308649878210,2687037010209755808,913372157361254784,998528532135566220,2055127151811559770,37653584820854752,3012322453978043520,807180242827313304,2944060392601746972,2923900356916840356,1747338325087741056,1656631779959239176,68641307715630804,1063750629419437104,491064551492686056,1256357244727588068,229453025425237008,1031771843977249088,1085643007599244992,504933187207333050,1244921905538349936,257735861513957376,1431882938707270200,1589250318281794850,986897730355596288,1937093722464844152,115519288626927232,410334472741905828,1746786212260843140,3067790058225142992,308749745423098032,128412032030472432,963101738943058440,154873202078288664,20980136734570728,1888234871662332180,548891541952815168,402446898505451712,1987392519901828816,1539822167795005656,853644319315442694,1794107620763863800,3993187357806788160,1087304603321819916,355007375341488732,494173204390912464,628603849865345976,174081072147840816,2888588991856795152,181366052493771408,906841151233916960,1378127943823293432,19030321957011084,285458260193206080,2652960469647456936,1039721358627821196,1637730632772591632,57592849279257072,1343849326584589440,3524213094527523762,1399718893023245592,3099659349791342016,2821715840501060352,2823496300908476424,120921712438063914,951694647559042640,3375491818727636136,368761828138203852,1261747524096143928,585485637252823296,466344034678715004,156293854465738204,2175914010062015664,1034683502259279960,391975960293689536,1725518541079850808,1901884304884383072,678605943208856704,2687295900929188032,301964705663549796,2359947748380091050,536190911706485808,2249738246474702592,469819809731146332,336549613952458602,2617639885760672640,344999049707689032,1177619243810387004,2169788419981314810,262873622592123928,161529460133155680,1490251170398570490,1729892617877395880,2230468597907167248,3958439671288302336,321266249086950672,1084119176124654516,178453737735185196,991421738275227600,907796032021180836,923466854009256744,60739572902436704,2125910995885690440,1465937027319086910,2693948569468540686,3113903760095798460,1854437511534981120,281952098412136932,1171057816711427904,671084457003831024,297113146507193904,2112557389257032850,883598548470080184,906389555701669296,908006654227772736,1848155871668784768,195503426568513732,1303372157067674880,1198922435419308624,1875539346438025112,907365538799833014,2492012742989689140,395886511081441072,2731888372889540466,1670289045502856310,1690237679666225664,1875804253112398140,1175369128613861310,2576758693072212432,2197166784498258300,478483802257313664,1725758242886355348,1307942071171658280,1053406981403536320,269354985810652736,1308113478544556112,316495213477522182,281669920943294848,2816733966982563840,3692163568474848288,104176288163562584,1041775748579868480,54843351177983940,231050088697464804,1540352966926464240,1969227239867674836,2371160451349877400,678955808110061520,1016225349887530062,655282000208622592,1516157370818877528,252072432621203904,961601132440093904,1456209382742488704,282235323174308928,782357353615447016,3407004027034947312,178644854442212784,256390588810119852,82635007729485060,413180171407127700,357192913482757976,8045589184207080,64365513786111120,965494715264257200,394823022464375760,559156865518312776,245400184709851870,827343680295866472,503981698059834192,249418952519353920,2993064735784403880,3577169660837824278,2826803040989444216,3272096583286797084,166540138807311852,645140118100970076,989138829441917088,708743954601880272,1126540743490944544,157728936396173604,1670889851328547008,1637683927079706940,597670174302245352,2624568222980674620,1463738356490499160,1505957075774521920,773845501560340824,3231881490464211376,1873338084524741088,182660792082337272,1612314492617079672,3673075707859320528,509405509660049352,3010890423098713104,3832668821735706474,529271748035535852,1400613982717624224,293259444558851736,2287146474365799420,1199487439342654290,715603064857984464,41364691391164512,472745279407886240,725570032792564854,1775235032164693584,3256778587368785760,1994594079622355304,1573741165820686104,361936446469502932,187595948474348832,2344978936659786300,386690268023381688,3194518744668379968,480579861781374408,849363357701980104,163691323888552824,308063122879796268,127458950711521408,728346070831251840,579237207100910484,2752595047187698240,3025365100922231424,1877905625811029262,268752284292779064,447926147754532560,2769356784892967808,382994975726488386,1540043186779430388,71821094674482000,1292796104427729000,2492817870316644936,636682967143092936,1378490329251876148,1751022096451686912,1173794418851693808,1909447462408218150,1961685239736810048,1639914898586898144,139224875793181992,464088824128614960,76523585801432220,612196480269997760,2037464832674435472,1994073031550933496,3509809541234963424,325695769447950876,773638411834594752,1609225406718106808,1346507315068142916,3227780008136192256,920812412254844132,33772811648362248,759897967712642640,2335885768971616092,546239573846398368,1601532325474626330,247512677930119204,3892305535655526864,2154842093933403192,2812538484081549888,1806321587677944192,3012047660603638608,1086793685784912160,1177004169036778536,2577308304164917752,620201822925748800,256728832746878016,733520360715022080,739639191672607936,2896686140151689508,469217827487855196,10598168196135178,105983043558831240,76588929124413024,2297697410208143280,1016117676423500904,497148867242307072,374342992564480476,1006947506921732892,729123927137186010,873250067361626592,279687542875240704,485483317108631580,768171379104063848,1854835448539212216,668713504003820100,3111199136878723506,2861538675489486816,7695399291290748,25651662160944240,171013289675605200,1720921025811864990,1505948716981170176,1508599911580086816,706069934829418644,1859508308778410752,50494039013921772,3534628472719048320,902157403334620508,423276132862821612,290387833213042368,1290117535523823288,850877381034446688,499982679205894224,967007998741251852,1259891272798838784,293348551998878838,1257224396875701660,616536185839250688,5548790634518328,110977254255002320,43867771692695658,3509467348735869120,2388634040963536384,2583619039123076340,870677723183801136,132486873595453632,2724793176947078952,4250035482611652450,367839101972801778,1223851163846351616,2532509305972962120,465194699401763106,416461908545385552,56831781832350624,284162616315635640,2616573194161565868,1087817907612298128,491657403051284580,527213503046187360,160681413920199480,1606835137874178800,1027030313384776848,2224303778719086360,3233105022928434408,56344910446500024,1126912956896383680,2317569200597220768,284225695082436762,286231972076636850,1837569153099373440,4052209565444985120,4178119378422859254,288837722543218058,2888415112699202520,36340168035190464,3270658048768053360,276248184536926890,371077460419233384,3298509642978921920,65802786793878288,2632146066446305920,1112139049086565720,1253572368260690688,513803723175151764,87172202879558510,1120800217390567200,1558783432328133816,181502618702982944,1967068264343214354,1773568658101238460,3906094950450221056,1682280290718172116,2222718602918345730,3393583601342697088,150937560734614704,1459822653075603708,1844731584144073702,704953449433953180,815633119567797192,808539720807276850,165635015096145228,1900508963237780544,395636229432808384,3821244775663365072,1388205692767975536,200895286385031804,2372871743106762960,855180177991212204,3621198022257591072,3545486239074205248,679905416714511408,1322234355842497936,1892603662053195168,319722636829143456,1153197712417486032,516577961841457992,100972385891319000,1009737269623760000,3825420355055647488,355659365488682004,1949042377418039312,390054599738846856,2556471251769843456,1009030153727096512,2143109320431116364,2678996780248183296,1395825874509116920,1168168514060151450,2609070371349318684,681764628055578120,1356318330755139072,1926066657871080504,561132151878471984,3036361216663394304,213890574091792356,830445968582255988,1233172805545765062,154768999588232472,859839262729873600,923112989575980570,311151229630988814,289197938578387328,2065727189697340800,301975357857307776,1509896994925215360,1348583173613974452,3522154609377704088,2981909861764911198,1213749791888980320,380486276259717312,2002819756491475524,1426275177115707168,990086985595934232,856190049697930992,1493131683589773312,662063418450815748,1197522052765083320,695621381009842368,2036070010990370520,3425685880854025082,1436847445801837110,943541917466027940,222231755014355808,1831398406778915952,1692743753710137324,370752074586020352,248844408032106216,1102341531155222160,1100009378716784312,178830134020478820,2503655623158120480,1515666193547151012,890022145087245228,354757546523917872,4284197812346800392,611279271820269288,3530268346205950776,1307159834321565372,523137233113312224,502927764672845070,234205654742564890,3747341139961009920,305358852376541616,754234908950513802,932278768494422184,213479274284479728,65066399290866912,1084454674241607300,724900816435548096,1656986029831869264,609974927201883768,1468978429550012370,2305095666563918832,642165421333647960,276875671083091776,720477930907515352,160526426292982962,356730236003562240,247375553436723892,850723014836244744,156761928011882424,156390482864462660,2189496533245227360,110172332233720728,309819411951015984,1549118142213232320,2014308629945840676,2851287417580310550,380490210998086176,3073433214460724556,2052470538751151568,1855939658101456950,759282663729069252,723237909434825664,361979843526816912,102954799484127378,3088686145825076220,358525381137568536,2047463315034418176,1017019620533532124,474886185767881002,415747036994854248,2890459307755996416,54404075232136956,1632144584666973960,794177999865347700,51491145753167112,10463847044285544,235439782807762260,2354430080382307200,490061437401079260,160947749134546870,2253299379962526420,434925686462629032,850137551527783872,151876244819220504,494051769667557708,2633842897319680192,1526488898655758688,393542706503832696,2296313810090147488,616853906869847400,49319802134311680,789127685106232320,474001084342434198,128213801107212912,771849817670409984,53259571304570250,958685483757100500,322448360147096128,2015330015246908800,3103906426378298646,1671923970710640340,268980376519064784,636887319846614100,1990341701166746048,3941407539831200184,1675745958910940928,1612405436357531480,253355950142613012,1933815925430016768,1330360265830081536,668402291523889056,400079057159774466,308488359964440816,19005827126686416,285091351410697920,3501863289521459248,829964931105337236,1221560289509147280,4483295070947163396,1103969129217726978,366425503099829928,3631041942669068796,1338317315487532008,2159922206200168584,45518057664267592,227593446580357440,450628821836408352,506238185767909980,4498319549657836242,768087643268130312,1509910871977214592,2794554067164949656,173216078739920088,433046218973074320,1830105081148166016,1420529995495759824,633292434147872752,810525014362039032,775694860921208976,2024673813369117666,2957559591898053450,1048018859245883520,404629009648000848,1348782172220990160,3543052931831184048,2777527458490418976,3556114770354538176,1446416479928434344,79055701856661378,527045372945768160,213276599691062940,1188542827944824964,1327159534903332102,2247563979528287448,1203054811314160176,2799053777534770548,131357355009618096,2627183868560202240,1033378657122632040,60763234390222464,1215281709603934720,986593913994000816,633509849237575104,180055981238240736,1162073183550125562,849112910889481656,265670118679708700,551739115277267940,813229019627029596,1901626582429672912,1235981343301704216,1042084475818128864,1978546349579551540,2563056846874087872,141026870820420216,576390672734913978,2675858377539895254,1389055506683565096,2103858349993886976,129290699070889260,1200712070488713354,308028569916969088,3882993945772656,58245729961784040,1553241359040675200,402320186335643868,431603880991816248,845174151096692656,242132614012548288,461124135406515120,409138795232758516,999075074493201156,2640491183601421794,1441391045962682848,2098478365700345856,114682619481092820,120510407604601828,715098405349178304,2664935930691433476,1933116586799974362,475787696006024220,1753546212665249616,278250979474036624,649394889371269290,1006054350841409364,548347318194640512,400686481786585404,3313599921697760208,108098449413109212,1080999831061650960,84074705585559936,525474369080118900,219590292690841284,975970717634816640,386773650299438256,274661744757716382,540296338385448450,1044227525434429776,219876204954383400,3078310657322088300,1745539559599436688,2397736224283060080,1381016274610027392,372413831930821308,130601492328662718,279278938939554432,677718392124655200,205525790316661572,8451044452436160,135218639673364480,169025710793126400,450052685244031266,2840039580721954176,1012895654187398148,492846320753574240,1416768526508843178,203016589952078052,3511425659416515456,1975705213592576260,357107616133586658,2451018813823043280,2525907891042259164,956379147021349440,2358614523727252644,1153590844092222256,1898390599741956240,745573913874953856,1889331720007017228,608894208490800672,1467048489299195796,804553776508117752,380393300870703114,1671671002928846448,282297133258373376,1411505926842623040,3577836869231227488,1454080569496349728,159867386778830544,399674209708172160,1204228227263961174,3768389811706534758,546171835919780784,266607382998305428,195657278939916540,464636371559340414,187097103013644512,935498984476155840,1704215912597281152,1903526265642756370,754284811874973600,962348751298021824,188370011768159706,2397901468507225758,2402670337912073376,2450048504364524448,1670586118166564784,465513234188466744,453804385478926824,970335065365791072,683305262416830438,1558105765838361348,170737265112718656,166004836279076904,118657579877561294,794841194832080040,385968023219666304,4342203100674854280,1601823407070667536,2764691530686737964,1988358161214351328,3116290092171433056,3035264567800854912,197032474337727666,2143576449572600520,352241472677034384,658650519460317594,1259341013597481684,3343228025126260824,938683134013910208,145522791263191488,3846473608557948588,1461686036493881088,411398784468635220,308855578362812118,9664312584430768,241611328058944800,2416148424472992000,413025018271331404,82708440323287428,827096442824190240,1215009398651827068,2259969212032182090,2039170561996112820,480199233869491196,878680318187270280,861020078722624632,674636338578047692,3597772127641513344,3078006848881259712,1494291110018597748,434196554900307444,1605232526846672304,1894702212118245376,1871983706355374832,247455200054874588,2828100762737550080,3603358116036299712,3520735852783741416,2190975472785029602,45117523597085424,2255909192107012800,2391438320860217952,773177487261434772,266691194726946336,672129190517022700,3568036649330745648,2771988200461889376,759562656698861936,1586818838036181888,3967920315232696998,295011065400736828,757914973740493680,1139415689117009016,2850326884764654032,1432167836632756272,1309837069326547476,1707367206537805952,1387834827723786816,4107816210307890528,3543037250397724912,3895115103018052596,1921054007274390108,308984571060206848,2065142379533484384,29334361101950880,391130574294019600,2317440584700759870,45654072593605056,114136863465849840,450538142854243152,97595872875839532,3903892487871811520,2002828947630793536,2229749430379588260,688514929392461744,1780497470894446080,948951948493991088,804328806015314734,120170547556328616,864102250563429240,1663677527021797392,610316220616533324,2875531093562777580,649145346657681568,79419082865316372,279705536391287286,449146920347350220,1501749877936723776,333655450027643304,997755191003300256,872568711278764368,493132091833672704,2444972482287998112,1892433421228863384,300188312335982178,4374623315793475764,1377217913008669056,1422257882105576232,1872480950565892512,166124100303012720,2990278222819737840,1878926996925700832,1450932461416539360,1314943445814405840,1197329664126954624,3613039057255606224,2793747556796633724,1942359536808056480,846203563447321428,1483911771724808100,1243412794520208972,244848199030669008,272057607565856640,294122738176935580,1323594503514415944,1176945169176540672,368736443728354340,336908769650886984,2620280490464386224,186856824026914704,648603492756328656,1389878963553257496,2573863420925336780,514713004301374032,514046987397222036,4565857424955306246,2199761415545482830,1405197502999304520,2126748080526887520,1822515651482321016,2780176868778853620,209619923054304,4716518880399480,10481310023108400,471666015871974000,18401814427755912,368041803949757760,1215667716992165154,3583698659378943408,2883209057911397376,4116416090076897728,4601319507970566354,2391224070055645110,740206079879552660,4054812888190223232,1928774771254005840,1264252608448512490,3280557927107888784,258774629284601460,20548300624402992,179800334121677220,256861483540124400,2543032603095196960,4058697022870466718,3505619742430034988,869840163418392816,1621485584703022500,305433920177612496,2485380353764937780,2011447998832672296,1048084365391355904,269055669317422260,1793731513164754800,2181717786598887744,61034148411590776,1525876738584551100,2380987187891645850,755354893204146312,228671876382675456,678534786469329768,603631846368960792,2333292853578459360,150760892625822660,2110684412585410340,3075768809813771190,1907485665363209736,1341263691294935760,1379710104210279288,1432176573761284032,821993883924991056,1697757831983819760,1520716490952131820,2791521145805342220,107306422347561444,1226377705970378880,3014749733898094872,1548687408829781304,2383092074207862864,71460268889383300,1793823432946224966,2236222367412697890,1049966655552473736,2040011099706911040,3309363997995512142,179368101621009252,1144522037846486088,1453543332873176076,45216534994855236,301448152370985840,1906029572727518112,1013379962099100992,1651695874137085896,1489973528017454760,1208834235266513280,3372696769589630304,462666195681074340,3689220541231649106,982219421021857272,1904928328415682864,1008589981384726510,3689421492335347008,4420015998543565992,2175050661112647776,282828174659047020,3448533828331206432,1562648585575464884,1533079280767580784,627554023069508616,44652900229309388,446535829361327040,1193780758619278368,793868127782887110,82166678620021908,2875877762813745480,998871463424807296,2479323529002191718,1793604596364740256,2155751170286736384,1498005090548358984,2470284275526521622,2611788957111869856,1596049883927948064,1305323956790039232,338968268403842616,197207603467146936,3763130839588823808,251833421869894544,227831184376340076,754616228179886352,233264002836671640,2332675871053761600,96158204340623064,1442395238712306120,682256622816092544,950810732774805672,374857964641304980,233978483976694794,1937552214092761224,1513200386067193280,344211204004111542,347480582237540016,1520508819100245376,381508291681501032,1080471271829770062,4054009445931585792,1275616468879563492,376478600843025216,1562926475633832092,847045418791594560,586239963410328288,3037313608050882944,848561404161342528,347588152449820272,190315013631102444,829507072355532648,153228128509992672,3503421120442608596,723439627924612224,23142127321047984,231424853591176720,375786249365327436,882976626958318752,215477497433530368,809221751932179672,4276527398999144838,215901535915479568,285290551122749568,1426474866146172480,665724205102742892,620268519657661824,777983041195894728,105416242902312080,658861742551648500,1142623599240703104,829029571274265300,1648571316666525270,2268561401749883856,2298288704416158420,978714804464500224,1492925960503275156,3390784299551351712,767766406301252064,452156693567086872,778943723343391068,531990438143282256,634336935008292000,1937496277236601928,1496904643465252560,1613333607443355870,1167144999064551936,1586921971181839632,255873884003793000,740988563099558388,1012954592974802880,3818421697463005056,381344641605013902,1432266235944877728,322200216046999392,622914739348933240,1493400797799660036,615769680511012896,1511371007694349236,913470768780501288,817224419609714088,998601667064648850,1181979984576217536,325828609161940548,1123022403687457896,387561559941972738,261340282792398348,1493396425584669440,476401439054173512,158306314045763136,305907877240835256,2719223743462157760,601578968690539272,3833912646736003890,128782227422843784,255029395215660336,3392727784194546112,597075978316526082,2645951676638349312,1392385100918034520,607735754829357390,2858712745529124972,582132185763636420,525359376855585792,280460027165393196,1777648936060796400,1248904212185059968,46572534070954032,1047898502608282380,393929077898470068,560122070347138992,217972385267077400,454319978984065296,821699792069821344,1021160204500150496,1827043374048089808,3045445307956311204,218022778438292328,341665793376933168,105700861837650816,71417744113834668,476125807145970960,1570813138746177120,334967718420898752,3349730077860277440,216099894664674816,47199279728683848,1416000766494296160,2053371118507678032,1050054112021119930,1600351687812252672,768092392398215016,2012122776611291058,675456253930568304,969467533232609628,2109067105079014656,829450661605718088,53322504859172832,666541869502513600,1797450134732697456,823864309823700900,1505753214539894694,2208909027000605544,319947952511493240,369300498364436574,592179041712112128,2964462137498806224,501845854991381640,2921213667158162604,868578316626487608,728418642248475304,41327583332635008,413282401112283120,1375481513686531952,1181007027602151288,682455641427007620,1324496602216026272,629454942020786868,91599130446383808,2748017653798913280,2812289477032492740,208282287673803276,1041428026154037120,1848549350907192120,705291563277785214,266691273642177318,328085983782041040,1516165215945227280,1789450356217764040,1350421373943465936,1095955476560363712,1238339710902341280,1027753717905879024,3883601043739423248,402208003982003384,1379667263207561352,2774460654184119912,975109259023979856,221851931011608816,450535394682769176,935207936154788952,132713328138000876,1769539354804105920,573803627141955584,1200783395279522628,765338594371245972,413380349167264976,1030907935287623976,2500525142336520030,1732693017669196310,1811653127209881840,12040741356185952,30102336120424020,301028189667877800,3393907958823793920,523199553675728920,71676119115975528,119462116412320920,800686221789115640,396948685342553472,1984775312461650960,1532648400615430430,3352454633822709240,133659893587485996,2114122982681168592,1734702065329218600,991401780265425960,2154281391632731240,849771767727471060,1327875710977959066,3525907630689041408,1880044787564877024,791850434225233680,472452609345444254,340698784886953860,164015493962764128,351908716831117528,1449504937242322344,13259080139247096,170476637922586440,1704793889995079400,2393416083131304714,2516096487637952128,202061441983347120,808258822701124560,838046831214878132,201689655470773248,1008464576691171360,2309336670163612476,679159438573489038,1550622492779328576,2700104099168669424,703823894899747866,1379717665426729380,343441005015532720,822759952640404020,92840569960693002,410843693057963686,3883243806669978144,1174734279836715312,1215346722566557482,2995630489719880026,277179125262342336,2103979937285340528,801750765551022696,3082476423590882928,1377539571538040808,1577048038503009408,1640562720884218944,1619061873086937564,110049194815184280,325602835229063040,534052835063055304,1798385213295517968,3270064216101156000,3708389212922267968,1974672598550907888,1108222038425322936,1272826289763451360,2120534967279269472,309298590684783150,201656787459951788,4414617588761320644,490097971861597152,1137939341988241716,674018796410291304,921279154610682504,1682853290085281952,646834566005067150,169529672694159384,2638458843328576544,1145685797099432064,1067676790167199134,903399071071065008,1495839399010200576,457518994301652624,432020044740383552,176958686344958928,3096827632012559760,280663970062994944,216988350969945630,392509265006504784,926665642448782992,979370120932672464,1646194264532126694,1399086373193354460,1874403077336141220,53545074110115120,321275707802295480,139620138782177904,3141504609327325440,2294528329352024304,1385915070075686514,425761917140364282,339669286964522472,480580271431819680,1329303224566167642,1432067584145188540,1368604670436934200,440251477818730020,2156552455649400880,672934072568730048,639919698050977740,974363233907064832,1090124435844121896,53959383988258128,202351017951471840,312691186932381912,71595160257063696,715963385475593120,2637421390117549476,561543188112456192,2572205988730584024,94199880655354116,2355035816433058800,230074072465853860,3221090106234617820,911198385321315696,1229894165343835776,2830892749245568656,161140234585336326,131981757355775558,565645438394498880,2314194856237991244,1765463227955309592,813380392731371388,2631903132369998088,959437322165305472,650478995333066592,426921477333750684,1545456478046279744,705259755549094644,277374153058168644,1454650484502289040,1052575180006411536,78879209246927760,2366415451622897400,1260448955504277768,121709360639051712,3651341303614957920,2139769730447034030,395793510735479076,2259172641008278336,231627163335904800,484734571991788584,1398943609328779648,1159199087831350992,1641364262448096564,541529201273987272,345142224307998630,793929815097497232,485562118604375440,1357757471206780578,3396853290048380028,1299075306768370944,1218840604717952448,3461971304856155184,357509861255221336,1622321569842211644,1945449614595945216,357358366238953392,461850171540404724,4225070137509624672,26755659843184756,535122109064393640,576250979426930430,1827324297872980584,904342547700097680,2605728848633486604,458114099596569130,1192600616478720624,688743109626157656,2651276218373278848,1210410992868053544,2766909879863709624,461567694742025344,3259612759808323464,3039018377633333568,1980511677190303080,659148759095421192,549058728798185184,1916674834212016634,144083206772382060,806422038297232896,1601435545954590024,743552674288626972,601197108094163616,340010090605007076,2582657424921386376,1927058436571707390,158569931163480740,145248596761530960,1743012364699423080,310522083469119870,4085457491840493120,873131854595461464,1071240743161039660,133480878393782208,890775821750826744,446727962262568096,1262366568846176256,42094910957699844,420956177589364160,172981137527081856,172824743398754574,57078207338908558,51768993716378964,2070794555050256640,4045698630900031728,771537361539615444,224348633571657096,167258830896908056,923130525220804464,694590081263959968,836392084383666552,313326866552384352,46653554966705610,93308681618357380,2483850269964184704,505866532894391916,3478011170758852878,1152229069316648490,2050623126014233896,1412764929116774912,3685837041018619152,3177047174046588108,2310810975298139712,433945132937281944,371608202521788624,2458874190399591228,3244952710828417932,2408970360239157360,144770822022911734,3682933605933066072,914687461589409312,2096514002495148520,349351419326083848,2329048858668979680,740081856333109884,1558939159274907648,524341996477274052,125541796414573250,753263533571058000,3468270442480639488,1625101009731657936,495210430109021868,3587412125160580104,2452849494702806024,2714497153212761448,1694850993329811702,1374492378450517248,639571707063078768,406782630083764980,2059009447830076238,1032820813460708460,2934715533227301312,288164972103744168,2009545221450259860,2679641491504274136,958548649867057780,2510479976962108998,3285997189417028688,131130040848770348,1685986343151153840,1259016474302443656,242799074718551104,2124528060249329280,1749197086631417520,866113752129939088,609115469226821424,350594738019433068,3107550080384561152,1483707436410591612,394441467465054636,307138699000763576,1893171047016481200,56264700352556286,258057333201415476,860205786891532080,575136380042165376,1195554578699475588,1737361567841216490,713268191135757312,2689201420183985904,1622028677869196520,125804607431807148,655841253285423384,750621881398679808,65691887425518936,1970790324091631760,166131963838730448,204068010042647064,1001154527982382172,1311024154359435384,952969529515311648,57777849810264848,288894196449900420,1449338607030759150,898675854080632560,2378548291150259640,976064432601672198,806649573476555424,1218801668391105888,3581322962558784000,635266917363636888,171038361501165924,351628788460305048,2511677314673645800,2408948336812177062,643646726445449376,789158628949031104,4198640585636338056,2527839999425616540,2256357305620743636,120825214783251936,1009813212825490656,246136117553207644,953476322121084960,1734744380186454660,2096529738166723968,3366862477463301012,402997660483254312,3899708020318380608,1165238454603628296,381899814209846994,714159402205407624,450355553637602184,1371563172425941632,770891182394785210,4012699920972628608,2679072878962336896,1368761015697191424,401514273239567568,4024495312873365438,620987689624061328,1008338307547239360,1080649622813513238,3367926443704639432,1167145383860150184,1538697431579954976,4353317998468948728,1241096744617791888,2043771043877078208,2564325236170407216,783897781434727428,238093101410637708,1366969560996352320,397871877046762620,571399088582468256,766777079629225350,474769781759880552,585029400376814064,908084679794307022,1026532735300518912,1940135991464608128,836613311814585860,785363389708465974,81241865174867592,2336488575932304032,2550063134249252160,391775117963971248,927997708335959338,1994429042578413504,247149659587099500,389836039405028252,1021534970349763704,1416317968489441608,296519794089495552,741312369759415320,379971949294361916,902539633282595264,436078895575235040,1055024150530593078,3150116363614875392,1176397843672303344,3045768311754516600,1827273277443644968,38590612608466950,617460555494668800,502554919777620536,430535381609636892,1126322179659268416,1466997895299337568,93491504869996992,1636129864971189420,2294141631413463648,466589877934323936,500905825966980288,1293420967595732424,438776175336820992,500728233469193064,321333909053302296,2499307389060686820,2678210706274741224,2385431898335923712,378306786074842380,1104967980459937104,679567265653878064,546979273738766928,918588339734415840,812360623785074328,936969474089136150,2601623089892792280,516318056874482236,3333187905168357474,372985234430215110,225176263203337884,1179755485878675888,245835893360564964,1687785391248556464,625637271850748928,21866153022615888,31237909258646160,1249538287054377600,2077995692684627760,4563677272495812048,382754105682578586,1631286243269087238,1998571356802654656,414553909413079032,2495327912376696030,1208977711174066744,417729909895921020,87041733844414608,677003164060647480,2677100474855601828,1763949225869255232,669941220208793720,1565999840463195648,306222953691073104,2445440585223793880,806574092930928384,3626682393790382064,1094994764526768036,15614056371008016,52047771521854320,2081947546938142400,3108696711904036944,2456752186230508980,1565243611192869384,1213018376654171616,474044113028585988,452626224413013216,3520488311431940520,1355837095499979528,787995112882920624,41655591554844120,1666253087930323200,2077106180524859368,502044506034486162,988914595043848536,676485018499884736,892887143095933146,1864792733498820864,1722295549884367024,2628072554084790624,316783000691131734,26823459321749664,938837692367688960,1194532986099885024,379871192866901450,897568621939725948,2266658048273294160,2539265105616605184,1998188965595017872,1213679458919890008,427461176560315480,518737959413073240,3096705455469315324,1875173597665009048,2584276232107934520,952007507520067152,202194926791306782,915432312152609244,2414415452580948480,543771929800492208,1266209631198495072,331380379996917804,3313862684070618960,63570064632373152,1907135840335100760,49633518452482844,1489032033179122080,1889211450877711212,273890301548336730,1957248437488687590,527523923278881096,239220723417198400,598062456571689000,2295052117282003140,1218632627420027792,1409319302717748576,1181296689334915788,1616149117095343688,1945599686816644380,1679151409818204672,624569476949601832,4632069205350697230,451939912962658776,2769319143969582272,1658343455730836340,1679834026867260276,1205754755343043312,2029663294089682200,2037112916864919630,1689027477416961624,292845410370076032,2440422032552708400,555591943648018398,1433668033851607770,517105885537673160,3489295769824568032,866182507974960282,2505170507618139570,1396412013468544320,1620950234472150516,706858065981592686,2151254093939585632,639262562251335840,2495174196909411432,1305311995480007760,264241236815390808,416207811138128208,2748860312618463744,2742756707277875772,2190133799680352850,615044158902541896,968813184480597696,1320627552036543594,1270503673540393968,237828301063662336,290472627541151376,408443929559326732,476310266465295762,587390780865957228,130667371534524088,1576061262505039968,83591315522673750,668742548069760000,317314432013236092,54553517522255424,545544989778401920,1918524148509889872,260569783933105536,517403586438169912,1745400132380528232,810114592315271232,791702899671776664,2733529503281504202,3413185463189055600,357699853428363616,372114621442970424,594805359307592718,138736799783412274,1029102784415394048,1189086797620631712,3256015710126236490,969229298241559872,146280320663442156,418376616472773376,41679924994628928,535894428439658880,658747929104399304,209691136384566444,54982054135781724,628377690585712960,2368743854315595876,20475227848674840,409511962995500200,3845073471673267152,105455740590538272,59381434093330368,98970848095799520,2336838479133789570,1484448912484645032,1727978525779618224,758074275977839752,668321149105155410,875563485905896704,613040899921302600,1812541261233749560,3167639433360821628,3079998576378040128,385788898993259216,361590939617056494,481141028291324448,327483891170213808,93300388047139104,2332552048653668400,3880853222831797632,296953596512256024,3517891610194043904,1737075556751839744,162381877499657712,2314931242872193344,1123521846244493680,1567775845400762160,3527970397326028962,523736303813286536,22811458121772000,57029683071292500,238414644528275270,3814703755133076480,323383552940779980,496504218701471352,979792283546815680,3524441871098138868,1029392444323466688,4344878938631982084,740563320597333732,1322123216572610592,320623359965314812,629260244301749544,1411617779799851152,196310061622358244,2369180779541461584,2604026665537505262,279532056649130250,1088640907586039520,1968377050465558752,2585062902024519924,199859303143113588,1332419702683557280,388211660965421568,2980503684775966032,525804320764742448,1075237514077755072,894980658167174016,2951313051628418000,144844064965013130,1738160590949771760,1129737959909387680,1888162943096585970,50226863933868768,502277838909608960,839279366729960544,19209046508193168,96046992714254160,320162510849524800,573844387143536352,343859270049971514,901852067676518712,4311542151052116984,166919920711395192,623159459130264636,4505674823571633030,298907739787662156,1495249212612677280,536735290201438986,243695574830147618,1033887723034396896,615482293768293168,4157170197231863610,3039327290194714764,1098480044925171888,3138025591197768576,1043568303815272092,2037984787029403176,3478749916375623384,609279062160021948,3691204007297007312,2142503302241693860,497095709102054640,470991796703430024,1913199384816244,28698519507060060,478317472526208000,2166980405982842780,443734719890779836,3460731405062789088,279421030903121888,2453785185560858016,1828218017053368780,2066468370207131696,1825398930123607008,1130735415784654872,317351903888296194,11153122249345632,892266259237309440,411652008562058016,813586538180276190,285139906081142310,140666871433906608,937796479397972880,2508515500608150120,612499835676405204,4008197409636270420,1330183529154714240,172475511410574360,2587180552880833800,496866120659408256,780844786038053792,2289920264740367028,456146613134408574,1420444794651035568,69472962771925176,463161668291541720,1773314266976388992,367374363787410048,1242301199899433352,1224127827286876644,1408482435419694846,2025064762320364512,1401242980683500864,1807420453311662640,4258451806994341332,132953971736090792,759751089829510560,328452138032564622,142602299429518808,2272219988300072496,1091916097477089192,1492898113645344288,87699675230319042,2826408319867569024,1172236646376155184,482815321429001676,2553252306100049952,392950581079077312,982394736588092160,1386914999060291274,410003306160229062,2601476664235214832,581908738544571168,1221539785039074468,3646262380721176134,2308049557940560248,899746978507011560,1595872741618334634,1106564367154842072,272704042114557504,538509658980719700,204848844187778784,2633820001297024320,2762867603028183660,900650600350200480,1559614940924816260,999210806304181020,561260723964899472,186575446893680860,293891601128371074,2552739408871495920,282425585411843616,1882872436048892160,4637055516023555856,1308738774758442066,1362773212446809856,525579595122834192,1329424858761772240,38628932146592850,3476668973275359000,778086920505869312,1119009273369780114,430130696995062546,180761511416855856,759422983697325816,1154936930628150522,2115198162135225288,1775860474043153232,3082673334674181024,1474232212641082048,75181405250098368,657849637636289280,2078055997683461020,4381017384286957914,449960046107860746,1354358030482558464,962290734634283904,498007818078626592,884436992423383302,3209259854582820696,1171739872415650536,1179556335253146110,1047986452144137744,2091262215080692608,1528396444539312936,2631114555687525222,796490754816513438,3246002714103298416,1381925644117082064,3704690920551392736,1783270362080185752,1842600818832380376,93533412784966560,311783915632326900,514890769786503318,3433912154339133888,873402557192885592,446027398004785674,794320556242788252,152971919399585880,764874023304265200,2710303154435005344,2570848176103549056,399813765649095168,567445656093900912,1478424953728624032,195531632943982896,1955353256718354240,1038148501884612096,626437131235765896,3056462600576352660,2611066141377977528,232232061680685072,111989002318206156,282792402788180464,3181474702165928760,3098243097446345088,1002114470284404290,1290984356244345282,530565992358013920,47279396488700832,945605833485255360,397973137967037324,2217683309707559488,1040391480511857600,3058090712564722296,1538800602672506112,542415122680008288,1532861176377559680,2652015211747115100,887939381570641488,966308626915045632,1266702369698955904,63152448040967838,631536466002069180,754793490941743808,300786109512534756,477804142302816174,490725931669159878,20406193144278948,1224394851136703040,932142853562673236,923443755871585224,2508874528268395584,1014402985593174232,1043627478738660378,2634193241308751808,429582004837465992,3438695002188130704,730799341915233330,823393001136335616,3979965712620039408,1556718758916169464,619731675210864160,568430940368575548,639521847863945064,237600973673086080,2851266022869558240,214364270354987376,2411644018688171280,108660805620975240,54718032846492018,911984610219014700,1243593902899951020,3094518946061721216,384833314368236756,3139450789619455542,1687671126788152320,1122677555884619240,868662469075341312,3179743320752916384,2388224183079585696,3234695567451296400,3987023967533872152,2056212365874945696,1287035982589244832,525963012585415416,14750620306795160,331895306092916700,3319016565467142000,33020750262063864,220142548701972840,351135487182120396,2508158647208180800,1154640341514419568,1820533658642878410,499508012168811524,2137206635898663648,44828595604460160,1344883646790528300,2240806894426393536,174180349522766760,1491097370410796148,322467949399643496,2527008395403398022,361514852185381720,462657131109907536,634747602781872108,28156172355351744,140783565149291520,2141570323321329168,416488962554405956,4379024284786127502,1225791726820044228,1555009527633342080,2412453158839359750,285748121617433262,3842767833161497416,588964338447612696,257718679292544756,1424890957716541488,2180406247949204352,97618210398944280,1351807099805008254,1807447371853929624,1153129320241726320,493308498636698676,269905099834523208,894759607315499508,1759904766525668864,777965710386889728,2943305068179306384,1575192555255757032,519444733106239272,1389473662279047876,2981351892917295604,106628696005120656,22240132237629612,296540820311859520,1509239714113732986,53014999382511876,39413130457688064,87586426139538480,3503524730472782400,345997556835231808,610225293717096528,473929131685243392,6805287290322726,136108377629956440,309385500349190256,495212481324908688,657830431088142822,713913981419636448,2932053985898410784,509659349662903488,2907055317247227888,2391441189413146880,148444278011270928,494823845031957720,858629327775846088,213588542347889580,1708741455558730560,63978913623427072,341389952406724914,343833581937484704,2001452008140318384,359210161548744192,217948549194426582,602433171804057376,453979921081578216,1159468393919874192,625247537919803664,1021911350834940456,2702400467906512512,590301351562777888,962780983833929670,262532181650665680,3675521979087766080,1030849717240233504,2931836825455706574,4546528539880353462,632194940735824848,7684008633223968,230524744117910880,3457938451729111200,317240709389772696,45086629062744528,225437534543051460,225212592413341998,441260490478115616,418334971428017928,2996355014463501972,1543852962650222436,3743131069710369216,936857782218555648,2842331939196026112,2064311765326206,9174897904472640,160563845519036400,2064432578398578000,376648504546237392,608195185927677016,3272115485082467520,1621292273223245784,1105010184384017058,3673804076639735808,3572704822289996148,1829317594976574230,2499557344629351240,521853923840971704,1510124462000314848,2363007333223351152,963845162581077990,53776010279699488,78700881336177996,224864060547669480,427474881438547272,371827057627794888,1117860415322862816,1132669355903148910,76724644076267724,383630734184899680,1050781988555725356,895811357777318592,798295697808175152,27832456435937340,556660040981299200,1050323178491292090,3577176069644842048,516197503481476608,4268405720197048464,21947985958800546,146322777768152760,2194884745498630800,1659362321863192160,1108263758666146908,15003974086405890,270076838035481280,600182541202384800,1468170876120285960,3568057280643337328,2848531277380338912,399832982390636544,931853907545671758,1416158778201367950,2023354607838712128,2534090924165712672,25856033026908096,193924063766967840,597684344363015140,849556059573140928,724268704824997464,1839566824314058096,383560441570375104,735455076848498580,1668143243032494272,1445117903914128786,223208204713788348,217059196075283808,563957256745206108,199255858077109548,938569888278082032,4290721921002883608,48499508682392244,242502328626369220,1267395123410204544,24617519493338304,369270082850750640,618628370370074106,1426700197367849472,3233401271891568512,1408020489681259608,2144100067565224464,1642949839976139552,1669642771763651904,484071401718520398,96278425735811674,435622726937202984,1110283528548925632,1000437026272215828,514754713803873132,402648351442105284,2589500477186453952,1687447064757897450,301671958498442532,1521836284749219520,568723015178000460,414493406366721240,1206831396714387432,761218172270705640,459809047992989952,94891917786851032,2108003958220858470,4197263274087732288,500460081871816652,2067062938595017968,1897455034295311056,1573846893473102736,1498981871316342456,1500068301892771932,1561919162957618224,212855682546486432,18831616728557976,1506559266539037760,902544034667441562,742346686178191080,135944445276106544,388420422155185560,2157758495360259084,3881197047252703392,830888300260378368,3561222078880671474,1849154698441605646,35243447962049100,39160166015874000,1566437822228180000,892205218188806568,120160455435589536,1024862768194491352,3679904647500302124,1186346797055069274,261079054032886812,1500705981449016768,506984038324821564,424279331534904532,128465668400075712,428227434969533760,212535383900640472,1518140172150795600,2386281189785493240,849187822548926424,575849544229225350,336265556796311862,1568935949512966144,1511498496631222416,84300807533037618,1891354025948307156,3592895158584921420,2294561319610452192,388587231335356218,958535128846663392,569955506502017088,421043527943276360,6039333015554026708,10779869910329102168,6258882858043181450,2651524087471030044,5672971491415196180,3018353307594016777,3768270295756775904,337411210869275800,954660418487651622,505147798705733400,5051512958029421520,809909378932832704,8942174893524690810,767755345493545682,187504581291172875,1125035283313975050,2082176861356638354,5798981898278358720,5795997669221842935,1966473864724176540,1770478117626006064,4110106170754059174,5164605987331415030,2531187425658726016,3448064337119709760,1253834893855282338,2819243914926623028,228591301647306930,1523952595692925480,9042571255214306280,11856056973632274879,947876874914689142,1547812093044517250,156801548839715736,1960032988854682500,2590816236481845474,1989682945768669450,1557785770685448640,1033228013940002685,8856301754283574500,2011863829005425802,4447714178951509320,2507796941138523950,1562199780425968030,474194093294923890,4741973970230722260,2643407676352461584,2475394132717593700,365675997382385851,599999637641515280,2829654990640280114,3533809755937337289,6087430183589128920,4216846842046124900,9600593224541814040,5950295019905924768,7837433257236218167,4473573743529227025,1155616427231054733,6360659931143621600,924987418153762275,157626300038467128,1313561680023307000,2197198826379520614,1430999824008273925,5333823904350253676,3318174079294531686,721124340881236010,2742277049899975520,8088957986536906695,5378832914270451060,4872614331335813768,1481151221977973595,9483953375390093127,9560879860976505180,12862170778772884608,2133074152386676084,3733232309190783325,2703411418168152276,10299549103808259680,3868396166529222432,2327026103761777852,1067419798334766200,6838870834481448882,3484140392916185625,2559654691124979138,1776598439770877310,2478115856789393450,320371606044533212,365242417485462025,730489965687509590,2379163757579109072,3581793782283079065,1237350193102112089,1283335700824262070,7129692903803131100,998844071662729282,1630140852753756020,7122820443386875668,6011758600995942540,4230170135100473970,5709556242878282795,4605872418630693225,2123032480577454284,4324034080772042910,1090802847169451446,410160020634070626,4696201490233325625,1892888834016358023,967650859137386750,1218805938878186817,2009200236093132056,2614987093932660810,8570318586523208840,84103930320379515,654146295355197610,7476010414815690400,1022074071216434340,174335800276199427,1713812044251910280,3678753474881851434,73187400166026930,585503337285255600,2927537370040359600,5250059676462889710,4416472743338129420,2020343236222111938,2779218386346006540,118240587592613416,2660432037376436100,8560762887094038114,2522887359137310505,2747744507408261550,13689146457070244316,10125615728645652025,4909914950633548247,896903311829637586,11901638394865431225,3957367455497361624,5021295041037773610,2111691059117920592,5528956761735854456,347735411058621810,5216068149607330470,1207429310833835255,6842011621421280065,7243159449802701110,3606997674257519575,1096215505129415758,767857650221362365,9270577778481553401,8990184904769336992,2656512840738748675,5796217924929473288,7890625227738979110,1131330586526228186,8544473135010967336,9020004732854911200,1267350409915820383,1310927785808728050,5242456141331121112,6955529823878125856,5232122529092647875,5146378634767385568,1886953756749481320,1370562339681803808,183561647717767319,2447721456801365320,1938551324356704,29078476992208800,32309649063428800,969296378666064000,343146488478272340,744059650432507588,2643373776424420520,2202638708096033472,5505787878045926214,1527511607401410575,7535831326368296065,6518065837082792525,5584428934722329034,2629817991835444520,455279975163564200,3732886105670606735,5385704754066348600,7352831719226207352,126668283939438976,1108355404385751200,374378339538747299,1604490067172778150,3034368641085200068,5865081410768738424,8040352975846324965,11556433216816093935,4206297014081598310,8514769632734984502,421554354880795811,9244716906704468160,5921704600102343423,5666981240832951375,2673725099274376770,5584674609793958912,765459768496779980,1150815973045645311,1551886370496088480,654532535423607750,4363581520897035000,1784882055383598825,1359311543157415341,7354118541975515000,5622786516182438946,1143027270351606144,3374122928101445205,4132303608386838504,6898571504869604580,28373646343494110,1276823255685228450,8512216183880355000,830252628474395126,7635781730082654540,1179758925563909538,3924211558628437011,3899200206837026760,755207407680349896,8585845978064802360,2685752596426011205,780612237922777127,463712468816920275,30773588836440214,153869051790657950,75123020606173371,667764991670694320,4173561256550562500,4171466055981535710,4154493870635254250,1313998093969766110,2690129078197533156,2845434463569427180,1359868813506268809,4416063120719193780,3784530458659075524,278538853592169264,7529529996529402290,610646276744318652,12181954911750399880,13075853631936262479,4524304609898998806,5673573241945368760,2454337246411499358,9265166948067017220,7778764535596201238,3586464258002877717,7390352765808724480,54356375890735982,2174270755067462800,6750592897784440456,2355279994974073545,593177784783689625,1339829034046987671,12643012131678131400,543436704977578282,7119036298409754474,8051321729264855405,6295490423174332312,1510376301338914625,3134772880724447195,293161777075442652,7329097533941215500,1762656927410801226,10434773183418927675,7908280257709249587,6798009066117107550,3686179138487553870,142487955862059626,1628445595383248800,1514157872402098077,3637110290624806856,10392700307349437420,2137700446062423806,4509594860676981360,7523517863329920966,291934209648659442,4165299058641004725,423833575710170132,5297958198604958750,5640845732829446696,2264105970134685677,1379910135578221920,387806307788534194,2040187235712778775,5091827442451193840,7980369127121365072,789284310534946490,1663457295067661835,5071925751128642910,4787375197400423910,1941514501386393570,1042118159692163520,1028838713852045735,1579718264056783695,2017120348719284751,4194508978438088282,11189919432367422920,621067465306800519,3773451540121076065,3188497776557581988,315313522996457165,453701322932553000,3629637070549594560,1418002227355923625,1595772657433817044,926953384025617648,410061384174350350,2460386275000061460,2179645061186879100,7697314480548591603,3584344098323357260,1304321660138624575,1585311739855165812,1349503119921707375,1167671572700275899,1914483803957321866,1921141040466317800,4677205036508222004,692013458377915625,12456333415511651250,230708281586701004,4037424486754322650,7040755933730497626,4057968938935565460,2868593091512780232,373180743405893514,1337713815347493100,1125234914290362336,8253453236251209000,2255512997747427288,4455286210008312184,3898053512822535140,3891071835219796864,6748085353866349955,450719966938699604,10108368896695517406,5249772787805753880,435814121306929058,1294925701663195470,2785088336537527888,836186968283174916,5629148667151096600,1819624991875423356,2879583483001681850,4902414221066615848,8768834583707562,25053997307039400,125270907752425800,1252718291332230000,1913060225866967464,10810839816137973141,3869225055169965375,3216302496110164230,610963204150149200,13707310936166295201,10108843117503225277,5893848749217101445,3371342670951052464,10354600761397456590,3128696202983024412,162439786034894725,740214949368284520,7402204066962160560,61389978041960610,3683425848055649640,79630243772109772,1023824973273888600,10238325279572905200,2609065892061277220,789638763100315932,4421267980636042190,4730485099714718500,9920240274761883891,298440230490504015,5809577635467106396,6621120278714039859,4914577338288712600,30022881836063236,1801386227068914000,4410738040454169987,5482126908770361366,7381998163067607625,1950041014829023126,1114971681090141560,1956939918086277514,5326601116729198716,11897925752211978555,962597303575896966,432912683166476310,8853312912180666566,3509938202864561748,6684119354125670160,2082123170819069325,6491844357257430480,1360745940489533715,4413951786900726084,5536600271242933170,237934875284956304,1359637944017564800,668985980288145876,1962134257145642566,2541466911215565150,3589180803180813008,5687164958739008600,3840158191329993519,6010552673243887740,6472212024992711575,4111702410239403876,5062571395841461040,4410357048073714864,298903505724769023,10196250132010346705,6966236975167651797,77956336816043325,4677414997688583300,799626813365137470,7996327627097050500,8537310457142940448,7382690011689110950,6808326152926501147,530936228970145544,1423418776301791930,4934223241075732690,4710986957886235390,599637932854649016,9790161981379938879,577376395344076725,2351818022588926122,1708875509537300400,2643491067899147625,9186943107279228760,3020063638159579460,7097280908756313090,3603208654331549055,3752678724774108752,1668798841691389806,1607496057511380075,747610499731501420,8971392991394497200,2315008391928271082,6765271605408448824,792688660551374125,525849083180514070,8771594806769046520,1643496773737154721,815031453620613269,486125002592479575,1313508517172250105,1094163659037048245,846107971043668892,2329559166603525036,11026972751717851425,1521851287398894859,8533520003111040750,1704652231467572684,8370290641990960536,9815150747056963720,10439734157630292,156597185677961700,1043989061305148400,1241904218805951954,619828639267226480,1549583216248554760,744731127869268825,5792396660017141650,5486158578468788955,2993076441010679210,3503019496342702569,5670599576211113130,2271461343901039656,8916651917527304061,6377774743098108720,4769371809607053740,679706627112101140,2325504859099772546,1534848200006622228,2049809343595556750,8399082358476469696,7797745557931926900,2922018412757147088,1172136991453877396,3954761578453634260,1374787925336129464,5186222734148339940,3827390512990147548,3933400057938214656,2217995054532998265,407778798674567296,2038909346360598400,5967326325831320364,2236441107937543302,7928328199133949840,5681662927404207216,538326364832441780,4632997954868909796,7638146271265129317,4098822263165023125,1061039596861603570,1409782743463017170,915125117828476446,2967920312096515510,7268528908014139675,4730880551465105488,7649204565289724325,578668198308669249,3163029329706763592,7980602145099780960,1199637399804871125,3784536331686379905,693213117536339484,797832269993873276,7375941372435429040,73321438837782328,1649744847871623900,299429489647428049,11685373926293983512,5627378790421429755,2595798343719163555,4486651253251042960,1923469850004736012,4856524154249022396,9837759329515636645,501009569214551206,4856640714180784475,3065119461630650424,3043712388655258062,2829430878999514350,343195174321289043,10295933271607572750,4923475825807342671,6288170352718099342,9198071751097019175,5216734142278994436,9228133201704400575,2100719260526599168,5201626673946568376,5131325210793691140,3584742583837844364,7271043472070839770,8286145101348289038,4918639299492321,442680899596016850,1967485612510681200,950511478725406485,602577165134423328,6025817453999522880,1678134132847415660,3603220825044058525,6422265306902188380,5998434252706192696,7138332832156272006,5794293789935783625,3400563596386116956,831033267296968125,639897115353918395,1838018683897030782,3274913537495665485,177517930126806719,2169416948785447095,1752646913937243958,3277355925624489855,1297324338261952385,319141350066310747,123027919086829120,7381731428978177280,204068951558931144,2332234377730358400,5524253807321133428,14212192304882910,142123007584519260,2131861384582101900,7510089220092944145,5384445902077988840,2966603346006839150,5321003096689399468,2055691285868552204,4289567358529052600,12142295033421082096,4105677188622849375,7052781621435786210,296034232286387391,7129745658984584225,1349256976875489849,2857358127747091920,3814724997804371448,1485489679600446783,348246608939792745,5804154570372963350,7802207625944310705,8969734672157285325,6833872347241041396,8730699754603462440,5922981015636756344,8858891480636968470,1516432147508094928,2887795415283679592,4324702759984448480,69613113407867529,6265228242631330350,4937452328314553856,3335728554429573330,6689463059953277625,1742365794897344760,3323275662929056400,4339016128626236552,837901034469512104,5236921669395170750,5062377607611035368,1134523335832852620,5698265857298502384,1967718689312159632,5670510704817389910,645975311282852992,320633538157649340,1603180014392214180,683764363415709290,2095156168171524120,3800473047507065886,1153077680491897030,2360470943695144329,1163534114322787350,404351701889244105,4868755111466196920,1584368790139299210,2706013527640920388,2501399438916570744,113763418507803400,3412928845516896240,1895192201825747175,1064584581936366276,239328167287979129,858295144975430695,5447601423705568830,7021312425820930125,682106380106424453,5170572030698312833,9970654336530890480,1279642036079246252,1757917816316765310,9763501555487601873,659815249672683405,7917844126199517900,5492560198618706136,2957204236538015050,2909113893742096443,4374866028108045996,766355178092836245,1019342442052540067,2946793962660090060,2445650856982608616,13576355319798530343,2535555148406244350,2770897623150995702,1775848449892575300,10826303646543164325,2564585100058384266,1081226668457529820,800235259219083181,2280519959245350725,748946857320376512,2696261356729031512,599262138364032360,10226728005422219179,1582525458420048430,471411679757813610,4108341066413869745,3777508330440398925,3950927655080881605,898783014947218100,2134556669095014627,4866860760210750730,1041835318250465060,2410966322903745764,12788562645463219515,389983545659476891,5801674220944850976,3662837705509046250,8988736111743872226,10451458658076972975,4318976009150984565,960083158457383025,1549245726354353680,5613456075681735638,3070532865076340625,1021379515945439484,2999979996392885382,1572116383136052180,6507261548448691782,478706703002281475,5744525129538916980,1080130285159939182,2645125967991482350,5464812687515870888,2064297532068746130,6642248914270183464,1237268511815459716,605883056214880080,4327769829693016800,7812765757196933800,1653443510616397992,3616170733771415908,10890451017465497000,2652737253274237212,6838248240298079500,3876302932011847358,3719842118608698388,505736349487647720,5057402955466671120,4496762853880480650,5403708469914173224,7330850655194004792,4399421125688957865,841121511968974153,4388224697564266950,2339577887509955492,1891877602808247606,1460123358155193960,3590111754575493308,9065976225159164325,1326127329615891244,2918546137581461856,2048379709182723720,4097618411016512668,8220109653164097760,7409730254616567878,8211930493256140884,6987764247428137500,1052005145979853611,6011505038699199000,9626498773714546488,2559827987963577586,1528961944697183430,4391539296973327629,1625155803702597690,4689519388949599036,8731488506045008977,484179148333478440,1631125390153572887,2381744532382931205,515475367497692870,7287632796588307443,5965367159680293300,2353025219919618838,2021637426843124210,6230960581189597288,6098037318035701675,1441517417038132985,1763303471522731209,2537030042620967270,1575713204937165688,4332297158205582390,982465716994823125,5454233260130330928,7254581761451475125,6128977538909487879,2656312037003088744,4453500676707614520,2033025436649905806,1261418355027767040,402493646726664290,7244942646362579820,2203192767824745450,1796616985339366092,5516069443313651820,11980084420020967696,10311718170449568699,2103630840232875135,6925015970104666544,5838682981421497050,511273136377297104,3016586427776815842,1252920260492682795,5515235861466825620,273620711970790065,9596089222904935192,3714295461192898779,261444744065320050,871489355708308460,4124528578175896500,5453669193936630120,1349031822148680957,1498936079903148650,3474444334296555939,4942714207691495310,1107455814780326050,5560619360599230162,186373839585340160,931876561379895040,243787064771303525,2925467900812559820,1590499614113634882,7797508557599464445,1523335842924912876,2203420190632999140,8378655418869489012,3632385162981021549,8094922996036582410,5978353116775503230,8384166320474887705,9746618180257420104,5696543980414907932,1632253434776999300,9058955288707646496,843166596985219350,746322704023525435,7889456427571669356,6818778007736430880,1675894545754262290,1387770861855442050,5532363149747816242,1088314927648044525,639479803552393115,984522899868162392,1848270143900744070,36401258734125168,1274054167129532880,848590569385193805,1291417177956393577,1848757783828997010,27030380765602112,675764886480228800,12163864584592368000,1217099997873001256,2819800527865434230,1579084494736959606,1094490197355001989,1101215618032781550,2682101674778509323,10099332500616604875,2364994355261544804,3901004673068700351,3520798812958296050,891958420599261288,7394849796525407850,101045983437275048,1010467878889492880,8898453414354939435,3974034842765316672,3314185956049239180,1098545137627689063,4882461734265350280,1443513562113184745,5376008969344577727,12246438297174198705,3920087864450049426,2299198406969371596,12109397008666731360,1298398955030602293,683134521744784910,1361742693455216592,1974571033227850428,431329431468459500,4951963700256457976,392792998501498500,7070330427398173080,167456715586292545,958037536692100515,2737271971249585140,8307170640060784440,33606497886318726,448090219669316080,4480938014371628000,6914894126376223897,5865073493607275940,2193210158250348216,1159444386015150716,10653708943663396695,2145152545846015818,8991930977272135440,3437312120325361413,5540539960262711464,6192963301202698160,206768246289224860,4652322798154524750,2777353126025312035,940895457942250057,1631209040525210400,2195940826006085816,8448715070262237225,11733140312554334337,5129739539914386474,1176155198166821080,5972279301373658874,1451152593082814360,8828561879565867168,1346326867062563365,10391291325561291435,779273594307707769,306713894638285875,9201490708338929250,7961118659131297552,5058083127772290070,3219735109657807944,10524453690368923830,2382757246358513442,4585967511647433332,2092602895672036605,822505813677549018,1067891760742944050,4348545622150802142,7662148648491117102,1068631060732827150,1942247480443077976,6226719431063376525,1203835480761141085,5080782533695039932,3163049332001923280,3508597498771235096,3239301425280593625,262399788020091807,1166230672800112520,5508814207195937060,10254120753920855882,2409207951217333245,338588870515035855,2781212295305266632,40030751103326610,266873825705853080,6671899443411565000,1035939915544532472,9027466520477038032,1029559334378532370,2661195145370310805,2827187261013156340,913793624859742546,10116109119810996785,4231195591852107025,12859456153969570509,1763726954455138100,1332112974564072768,9109600312142990088,3559962611841341080,1206691902114598555,6481641650371643675,4577514344568074294,1153741742070746568,4610536637008036980,10705882837927010776,13010890005909538785,5471655905758439259,2926792604026320614,1570315379656477930,946389876079242090,154140049152089260,2312119455931884540,4655552170614307068,521267812065021000,5864310384218858250,2884216867100040640,4748060760025445982,1977064276857803001,2608151544446105100,5076566626207099176,3041346954881404000,1447703582418590356,6496807427602615536,221623689239165460,4432509740971402320,6466167689318515605,31452003288469836,34946953936947240,1747361879939370000,3750206499520330626,2177684863399726540,690713768496179238,2302397927923347460,2215543086525565485,3686485745946831054,3029283617242885210,1294472214074700661,5054216684930360176,967482191255063520,439962714991924722,4399662926489465700,9408846449578284608,2960390046850834089,1898426364954325500,1027582401521136888,867099186773855125,1169811147802507314,410444623702628709,1025941602207787240,7166671428484405474,2004841691500737460,3942251524795457870,751885648066120940,3063579478611392835,1301265671541494336,174477081318572070,821662727334301516,2573958307312160195,3708426561055748035,2718297618966523724,2552484852137381640,1341214144464533376,695930461612731449,6412259372340023760,1908243492918972090,405868120808168560,8117428684548879040,6368765351834449718,5602840345904263500,1211370635932241304,10599579648621395250,11577240254712010599,4924280192021444358,6821745783633342680,5804918901535103665,2379073404552698100,6644349694716091335,3886965861629832968,2877711803837038140,709000169017514164,1164219088270016925,788773524665114339,189318277035471135,1767446798842414925,2732877087820947504,7376821029037746650,5376254119136268366,6308501229061830025,1494651181909569450,1449542292771192217,1274734223674256110,643452518554550058,1815110680403491317,12878220802622559525,2703735584561373138,12838881164102823600,406684278744938791,987105056036361548,4422197359722341290,789166957049732240,230540517644442930,3458136145016560410,4575045513695969508,13187636910599466240,6346272975441517944,465946167043490150,789750665652482499,1777605840272668365,3915982990280952765,2542106887415813168,2731676960549320840,3289210339969638552,1568151833866065525,1820856205003186995,10144882391756879767,3158946444673579025,944647687356130116,68574401088216778,342874826534059250,696897322321068228,1212486355164847350,2883827775062372514,2229760362038279964,635868618190686090,1780463771410607712,438069377668875305,11702020462803081612,6122061834431856768,5129877726707533280,753710897328416724,7776695283492362280,479052318866107584,1017456752810076822,1088035778493865145,13995386063711927,279910030163579300,9796931879572354300,1057607980666076008,1322020885644346450,7175803947697356448,5070705400665594300,706644424902305204,1357018116135538434,10097455940296333350,1121447033911846806,7886392671050397000,3690186633791622864,3057606196300381194,4270099203332670015,1106628384451890429,607676185680055960,1455100500751471897,6172882878371778009,5571451349379985680,7217430815277878472,632652781335816150,410107868995305740,5741557681595410360,3991954965300727400,2575772397671668097,1196669576239820760,6806516781690688035,1287460035707069182,4940267701954850460,6069160166103278167,5799331609586550450,1263185151573252492,6774617054331412788,3033661911164016750,433744623875607261,10046850659220978400,1160308811093594560,3119193504774763756,468960355258365875,6565499445226711850,134101675794805430,8046167323650860040,6499024758826081632,136174025074590465,2269585928469530450,11658623512347306960,4228907952253701726,2653118553893379618,7972341690168765525,602210120599798199,2798273607382074290,611628557619464755,9786138270358145680,5781887275483663940,4097336906036695321,3690541465170841155,4543006046780622609,2547257680394249082,1630142729453630200,2979451248845414322,684788903211463550,2050088331161994168,4683350596166483052,1051741309966913560,635197411988936801,1685145961516714830,2649520117197683592,2065338816716648772,6782439266221591935,10968899137205083984,9668031482824866060,7406975247159428560,2827471553817952233,1063106004575031360,1383272147013320862,764147192220472415,4428545320511911578,7118231157221992888,5955211081494269875,2241764294204093498,1257556654319364945,1109084921725265668,301032174182294883,5875673378090452300,3265333764280971332,2736787031306637750,11827323988053211264,6376706857929441607,4206578173659466575,742460772620176565,4454801874696827850,7805435819130848008,507609515670001864,902931021841439890,2863104702827662848,2206974342377885325,10646348059694600864,975174804435474272,4016788189792250480,3565106869936727619,1755935371727788560,9643027506174838575,7322619140293716920,4621100261615331270,10745707314451063206,8854374145808854530,3527550400629485724,3330778760273960565,2793888205949641275,166547454089131232,1873674567078093000,2160353291869882116,1551040884068447694,277148032857862950,4157255367005507550,10748698754177206970,1478722880653817131,7284372352730073928,5584561162627622700,675846189088579704,5913703806578957550,5908987748873872760,10967114746173238614,8353020112029436170,44195055856164353,883908543929257700,10684896094565570544,4081029211193775568,3802398863515041320,2031521751471251696,5984326595673452070,721669073632397304,9436541219348210604,7396115315502567900,3064697901349974838,2889425450256458750,2841131555824262105,1055931157982294567,3919689047787375360,5828157493043814208,10049364266063700780,2966436783374729064,1871082495158259144,613585167143657940,1363534082150061360,5190446711173441120,638278110964960312,748331138472194606,6414320976694948200,1436930042086944442,2932571726272806510,1303675977345917185,1065052414970468609,1396606729485603580,680456803061204264,4252890909331830250,2381956923326267085,1139951833384044225,5900186237207171000,2411288867359747796,7557398132604632550,1025040929730515048,3060516685578125067,1894039647346154640,1938702619641092058,1223282762339922910,11911630877410439656,3021036466740412953,4075134520100898700,875245823650665510,2582308036904851240,2855482844139181360,8666140329246477736,173003138648862475,1384036821313324360,1874393532393511150,3981300299816946588,3254768586266895152,195545623736025135,1303648531410429060,630079329096982195,260095778785296132,11704409206136748540,3316013135308844000,3689014682067403104,1525803465334359350,5493113689656711364,11125404033508884496,152263524946459885,217521166075320230,4426889005039499635,764294317880173230,6114406419707273040,7002178842741558675,355946100686585829,4745988293135136600,1064799781567848893,12515705099924311116,20157686885243465,1612628646718770640,472854565084865015,299104201335533601,997022475728548570,4274299849026502380,6663232720521531336,1826308717648984590,6396045543696471054,4205776690497948792,923266976858979725,5275856168246879320,5070697986448434600,2207315674156117395,7112150067844435356,7362962887657541255,5039262314991430928,759304390756666320,987877850557507259,4958670244839098752,76956387892780380,1026093911534405920,5110228627173888675,6728400061526802288,1057976310308225202,1760468176877945080,5258723745067349416,4003540550286743100,2034901750366667455,2727448610847495678,11617471732628110410,3932442853227962612,7902368015409750680,1235820872979155368,11363676333083912,340913199517662000,5113741642268713200,5258793287381625875,3771441881044023732,1792821920670852736,5580789319670900360,802201998654594798,2133021035210040325,13533403588035881301,4582951937973595884,3917286349814327430,3192825170376700362,1381600320641376510,7591334861596650390,5162800506122709684,1675419634206952890,3816003428786111524,1670717372279240040,3722800068168676047,483029494595279216,3622752216448967400,1406994867461662571,885093259470408275,1585613278957771203,721482511942807969,7280274205486511950,4552519427360338888,575227378026877125,5605341144940021335,404424459136900553,4783615520012168700,2741086764369265338,3003747054206099110,6747024007318185546,3944873561453703657,10364335285478431840,5442031508067162864,12736271589702292395,769734830609811333,7153352745587425363,2867100093450933180,1174159186346906648,4174458459422378595,116571335844926526,971436141678942050,1994560880046110025,6308231371641632188,1291819902558149375,566177284376070102,5148659561287589535,6198892921651545000,8537908502223294096,5632237102014000600,367934329487150202,2660321032736174811,8470968953638157070,1549084326509940031,2006581663430728065,3584458976382833822,3905693847727162696,1747420059110917765,8569319412828672603,512665324982850920,2038265690715223878,1852082612891208768,6157122218666544100,10462454246300748041,5240352006398461925,9720800713424801312,5364143333008161852,5280009824077260950,5176707322900331608,4110364242907077820,6194763626813666635,69472005478035804,2431541166545893500,1154647160461806042,3800263033801036750,7114647019787164480,1647784048441474655,826848374599606160,1568049669762730791,4154294742782362255,5205245303876153548,3286305330224184710,3157054193341666880,4286536584080226970,6803753742590679000,5474146351858469215,877186326937947255,3898639599079567000,1916596821562202168,630905553244745780,228632598336419753,653241645346691180,1415612718691731280,224875398121414547,4224625584033559770,5174240399770659996,1800658146569834910,11518400184766057125,1321655865760293018,2632171258010118300,7226774617976146908,612010313867699830,12122415217577400760,8750309889919951381,1137019623502456720,8527721080931479320,1238096586936025124,22328272410041520,55821164998006440,3349298942590572000,2842690213856276541,1444352091021793548,518467923894189935,2749768464918933955,864773904363681445,2769187426351695045,3011772412493510690,10387786299946071705,3635755351620453645,9824021482454474670,703867272579977051,4022133636351684520,7066404258663510450,252680412030297410,1263413038664858750,820692232835043996,10715099496416612901,7629929831631474955,504725160882780234,1682431832801336700,4118843430651640470,5473106132196642288,5946551260772513040,1279705880241606324,4701249900484572680,1873389425052369646,286903604352207972,6694475713048484200,292064440923004742,5501588504649979860,2783603312765797724,41764361683331084,417647255168741800,7308890645782371100,7015939089755246220,6131014881523885311,1031834212659247075,8369195708751527200,5946111948203705810,8595807177168729000,11778619976707580832,2443482902767918383,417774934673145025,8694905422968283712,252015249029315675,3528244278594133210,3634988789890730493,3791524641455551520,617165414648354346,1535081271680020155,480314999606874787,499452566377526301,954189408517318680,10734724635981126030,8866461469971108040,2374297040769212187,9832446886121335071,949359779844791265,7383973958125927330,8921937585705579890,380209841043336492,710722939360348778,5546520151116282000,10609368583406087005,7468014218997635850,322926339888846968,2421968748436054860,1033116621086783925,704308203756064328,3009626647949000870,4831408105536399432,6288741718527217465,1896911035727337630,2809153176017686085,2942143998679458465,3191216931411500784,681019293409783387,1879706434499553270,656040085541427264,820057297787235600,941673555954666290,352417632653134085,6343573035986938350,2593401256882328184,4573336665995437625,4249819155179477685,1510806397910071566,6803833272724769575,2660557178301837672,9394934005275915950,7368715559581215084,10001308890793729872,398250387178321980,3982538861419448280,8154297186957741960,6647918316273721575,5559137433313014732,3068696848578843050,12849885478529307117,2894396996909345320,2627808282116864040,1233844757796322854,1530496840843060755,6943184865688721865,3032381987923654940,11207991209123694609,82914504878043622,5804066433424181300,3919203235068288195,6718908255828007995,1281236525212280736,772475881368231586,5517733471891532500,1053465246163230495,1681575814369601475,2897969609666704881,1143832729247398752,6478920199890305010,6077702694794885808,7655779195233911370,3869842121106889425,21469158612073185,71564493312198250,3578256233835042500,8733014910643418460,847985414708377308,8027527111244965366,5776104254059206405,1157456179968667090,5378130687136852855,13468890519475149834,1045664481355366911,8237045633417301960,3762122343861757276,876460248911797340,3756291403289959320,589157981734693728,1472907973737174000,3233789047904589852,1753593357835125625,1654640807874840032,3129161150737112454,8048548735123757490,670289813413259669,3093740741582566620,1547215936725501681,2584247392398886235,1583750508344766885,1277100633004885162,791807513371830360,1730482633898108636,4929544765656967152,8972218095200537970,7218529206802243421,1030453151883404740,2045435572556365588,3781124788795788296,1366609465122965840,483754995093310581,458443447918419915,5894325167869346310,1444169652286364864,2065183129599814200,4173775156917880488,2879711632207318125,6708661669208064942,2458794466923033421,418297049187220740,5443412521663791770,170062883386704405,3968169180345751710,9245269222551722493,7914460017525949920,3048876717684650310,10192508143199082435,5719738619532659049,1496084352528584754,690266795504755110,5752274428027379350,1346909548831415010,3271785175939303596,5676999535868703889,373296237852703425,1276515928464794528,1351742846511306060,1534728189165604916,1484068776842941896,9845715057500612000,7375948759807209395,3299863701142687900,3074439815735647830,4335075065565876663,697258575213795140,195655404950140967,2863357935749119935,4977397572506672840,2678385234813278936,1517327697657552480,2905542810817241007,7389436843717473440,3812441530178633322,2945848697309841588,889664991996910350,231701344788346247,1538751602647007030,7515690802890959130,1102342327478101311,1516987441472215480,1045613000558716341,389953029830117840,2412248176087118154,2719115839228313475,4420493898814123425,4830403983914341098,311762792234686625,198316327839928272,1983180998366701920,3278580792473791225,2926503608631901584,1687292755665476430,7845768125322955576,4159503220028583392,555704022855849145,2739980698473043293,9755734883431939325,32102787204128946,267525620318322050,2675280142812182500,2826549569149871084,3497682841465492040,9037759627212474195,753854047815137984,2692850398785211240,1079896098491050736,3021234312797124340,5867606220188867555,5391656606936799078,11210397182999139375,142154440566889812,3553892867705542500,8237005166804687244,1411457298239184105,1086238267041447630,2359935336616785333,7517731876218348785,8702140806527278344,2847691829705963855,1050673165262214395,8520535665603643864,1334331464913418995,4785349966996299610,1404645665074543070,7565959190681368110,1786777147282454608,2740561310497106460,5922040710007530234,2706118876571580512,769133052217118810,11982179182519348544,1042072054931973755,5651031765347261120,2315125931262203715,6133474084554370400,8385212433369647418,78133436799649550,390670697880414710,2429117204977030614,1417878279420739500,1342906424247598692,2758550080723049620,11234264609603951136,950996777637790359,8453380795562278800,1275126580868515842,1449371971997120720,3157051544144149908,1847481477902402181,13610811653336610945,2370181469254169746,4040471519975838220,808989296025359384,2770631702454308680,2195028950637492360,4487231599810955632,962782252112102335,2011259335366122504,509069400944251196,1993117561897294550,5381814111953813696,3723802605879541500,2019620029171327191,2146636609585223384,3599983709819714675,7031165293868044966,1502316543947974460,1315958420515798296,2304620618589645096,11890672477039080480,5536738743511553658,1483086257256462325,6230416943126277937,9245128468499801240,4280208042244076970,2812813570251261054,163671830090541780,818366550848011140,876708707562787190,8997807678797652820,461286775998958896,6058685378514762760,2409305329025014702,8418241103793394041,4728158487405264500,6833939737875023123,4209518967386187600,207732057948630439,593525540645430940,1418423306603244645,482307535894832466,3449200727631676420,7013704270169079480,6124636013785367370,912010412523402140,12362483225637958095,8049483340480744380,9190605418171336908,5494382873944998684,4231587940356650325,160949241832655863,420750426371777005,3606464947891366140,2725091311571337034,3690132751159460970,2908723467592866518,4788145861299739240,6683920429748110835,7775809076936750416,3804980423012755650,6772449635897156604,2644411167198031350,9157980017458475616,4118389934902345392,3994288195220565480,2752921552672893048,11912180026751694480,1887471101065764162,139606871611657464,5584325646356913600,97550250054393591,1254228909245213850,5574401419598996400,4615361747416369776,11497330009486553320,848306938803291086,10278626125988149920,4579502765469736744,4300361293883565988,13070123597517469920,2871085097579763415,3278265655744199505,551571458565148371,1575932810666219460,521647689475241500,6520655540979221750,3211428285353265500,1339718775909234216,682963688967356979,5039659664811418640,599002728006255648,4991734925741276000,2051081737931919102,3822201614765379456,681478734536314640,614768491751333348,12295482046658610800,9933391006287823837,1440742726603576506,1702365890023552470,5330164866200400835,8485020675775367460,381512751814398282,1072343101193064897,1422643105955904480,183403173708268122,1834048497199982700,12774380212448946405,1210233547158699305,6962165891411351400,6661365450867877085,644527091600226300,4187275914679411533,6655259342585373735,2724976331066680230,2663639485364024890,2747331983147395770,1406197416837157315,217975522486575062,1089887589265110350,185416424259603396,2781271830369026700,9208138158084562788,5573134225227492484,10706589198415380410,2682515922427448846,7063173449116255590,787496705676534474,245197122193772470,7355981091189394500,4219394873344708797,660009286076471730,4400102254702376040,732210113910865765,2928867319479993500,2756727987138112052,2068426962073773750,692355349679321376,6489860929274214324,4033777873151687920,3122337571957750088,472953267553419675,525508455694423850,1809084728857160181,4134571546386406785,5504766674341489464,2712178129603971160,1154947212558324512,4165013863752604278,3693027727058722950,3548754910032933624,3894332656790959420,3878482579534761156,1207776646158197318,2443738922288444270,9538893516200016423,4880085924316782040,12096174550730820777,8263957592070187696,9220178108677079250,2817219511582479786,340276116657752600,5954886861230027980,3008503343594958980,7903941082798117980,6121871828207464288,7241459427746455100,1570971949908806283,4084128230875080409,2362610529086512790,955554190315052109,1494141835054527360,2817431978458304517,338994345408569536,3389974710642166400,4315341777800354910,3950449461418456840,4552748061289996912,6224304150110059842,3199928964645992340,4077448345732430886,4726667648723213040,2873907248341439109,1632856061017755624,1170164807856051475,5055877548920800314,4689732034137758125,1483076442178947798,1158402496411292868,1344674269744881845,9322942155011738334,9455363692454157570,2395292703458928348,3349985105304491559,1226829343916002820,10609598699358761529,7161466611130919190,5377869455428725515,13022204134055195016,1011460295926336930,3625188647223081159,924962924576341980,13427898509916552825,955989066366871151,751606438684809540,5722738077409725762,1370214305655981120,2196283838321783427,3343464821445746718,283465466699697525,8981145365923960229,3752372245503486150,7461743103718054046,8097072170319400164,6489023740940222760,12037979692250197616,3245688319932797685,10559474646835256408,4476506617495616884,1644215132706511025,184852748318462804,1186904904037101740,1415456986926917739,1316534657998813617,1644598229030412425,1669274710668894456,1514382401107309825,11815104783124881592,3206980034242620964,1547137865200459350,1026638997900464807,954710488018231420,1411993267539401724,5609468650108190133,507144860023307750,983727706716564507,525160989297590100,2382046685272690308,9092872240285731639,1146630532360782820,3230787147997162143,4370250549700805340,3591280123798152846,2658231373157376674,2622240023267636610,5880353210290549170,3413243139155965920,1536687622059801309,5787725528628652221,887907176715022360,4672862963863638159,466575825528522910,9004691558797337,180095508824857540,8104373401761373500,4973591766436537140,31014163343005820,310144524018978040,3101474150074816400,7681064484896668625,9735876603738253451,4468073272312251750,2766069601478661543,2916387573338304510,3050599817101442025,12995056149991230159,4201842107838939255,79160697607197339,904702130840838960,1130888219884699500,1765215830712859196,9155994888421601640,2638691243716726688,1932553517904719580,3799873133294899850,4168266668286026904,5893783660069797280,3043787471072181004,2797941312180783132,47778464826651735,1433367343574706870,39959445460294795,799196381821715380,4452947747984024790,6853991162125406250,1662654259451387097,6187701832343551275,4303167728581527260,11530360199693402912,875733805194818510,11457692009433284796,1849435834982711040,6118305130333002236,9241151375316794647,3115082895087915480,210004892179606305,1166704773928423750,2341539161891919297,324313200910489880,3243162399379462000,3792267890188170056,1466092737854927910,152032155333173098,2280503710559562870,4169007990130496760,8835270855915207216,748145154513473605,2538531895153366572,2145203523304368736,1128436477889891475,2889019354465393583,3062894305067223300,2672767892022198462,9148423778646460280,1126950512855733930,7802110353278399688,2601351923389436880,8604454545109394426,1419623119513047243,434428641821717070,1237820216735820074,10705484477447548985,6570743256102553555,6437084435463606318,3756542609246888960,285943039879783688,1429728643076223800,2805862642433704308,229190076380649958,2946757272298283700,334812860338257028,241331754313975490,10860031138665860910,8348976531606544071,4212061381225798100,9675332983700325056,9758952764062764200,2648584847375529366,4889499601390231692,1526347507745453300,4961691661152756348,873955938491314420,1943532623311229610,396216346986304104,5129952480097964580,781906340828594375,305813036334622050,4077545594763279600,3487929543457221576,3757793502687431160,193116811995892592,4827965841734806000,1001080008953488662,1147461903802356090,4447167408151817430,8378673752790247186,5465926659534243825,110784521684969326,553927838230115330,4389289899267318875,4037872609090834980,1543310703355282200,7505766766590620780,1026728858104250381,8495998534448106480,349841154928746486,3498444612718422900,1568000963394350846,70297062122303425,4920840872590028750,1627792215125553056,2214214596997408950,3494173547612025288,5807940527518203885,2213037170050274535,8124363273313350826,5094777210306240135,5309836722984495830,3885460985009016582,3631001192403819780,3148771449138035886,3513357181035060210,5965820117077634385,5262572478151374365,3600283622581759200,2243228466451549538,3030305879584922625,1034266845205417552,1031441024344180599,2966748160614176160,5072165303164083558,972908270073007815,806635499436455208,8321104775670404022,13266581257886833125,2254805485734315189,7791693395876806740,1102425685323348904,3395946884732306668,5025188038036568325,1922396308240586956,1427095956712731950,1299761987472234049,3371814118041696012,2868851778992935995,471844457423050504,1609457242341427490,549416884043381870,1192564907095541629,1043839692728377875,4444180683511885728,228427760755967675,729694608120553009,8628299835950143728,10203701841829973190,5265125974557172197,4744816295033625660,5876418794539234458,3261747675977405888,12402139512751836240,13592833374835749627,6663910050434130390,1116771177037957265,6109165905548857011,1706693753473363170,8197138533809464008,3670599385843144560,11219621935977838280,124352404540370804,2487071783356235600,1553998288996098957,10823106586879544685,13208597475179027229,682119673233466521,4812323286692589200,2701251953689028902,2133417320125083300,1337339437979808294,4668023862732784460,36659522603214420,61099787195922020,2444014805269492000,2889896725915251134,2724282645523914306,2860714159466341360,923597229196491009,1523578465766116235,6199106461254537155,9074189621208058218,4509670603020382260,1940549366669056645,3853852882051302900,7434947534571592580,3492504587423616044,5731253563536383850,441456413637752184,4564323686427748565,1497187840908908330,10073823530723382423,393600261136952175,2476222299710573232,2864981099769416250,762829790689498259,1089767269548215570,71018397397735655,101455824286479490,5072839763903967500,4879518820115753604,2843454799415954680,3547614377080638240,5294519654754088616,2377753943813140740,1187576973689097720,8906912620668702900,7607455924836215385,2700443977323247660,528955972438763910,1245803392758244074,13477465649652052,539103793843469600,4717203420947246600,1549229225736635940,1988858038162303868,915646772988031071,11972089604656799400,8676498430512805797,1838539753684662600,3017087124490495138,5419885750544062805,1505383786348120220,1052110329828724133,8305733310467012560,8774038709117673417,1242525818662791852,1030145874531531130,1933056267162623764,1651274744988054550,1335914382153843366,1762921756728343645,2898568994632578540,5145133138734664270,8593176563024311710,1062041027727019970,3408867564464277774,5067910177752975075,2399972921105632056,219972803309280425,3218657247644438595,1705964570200628848,576428545146319775,3288458826217166223,276365865707230500,2763685258623988920,4109095702490267856,3744410821826489880,97167332457526248,971682682036273200,126638401367357878,5698782955321380810,536259995664081800,3217590975251421840,9716290967717664470,5722437633014677328,899743314663213783,7214503937238293425,3380475162247959464,10017266984530364520,236181315781077143,1611006805137489738,1366869965442736625,2354807486462649414,4397539992918936325,4052807531956683300,6349367406300751392,1082708768705501875,10827192199905704350,1459492579328018975,2347429145782067284,9593450420226983336,8771555256115714920,137920609896032878,4827267977587190450,4019953200922289136,3316285304771290572,475141237443715815,6109017809130459090,561450953055860240,2834128486444683021,644324218147305384,2147768161655177200,1398965101847548742,13827238189058401380,10828049898633202008,6489155070464922132,5900088475582586120,2219150651572738299,4680903696948193320,804991652622334393,2128605059244178200,2207966496533453950,426726025968085557,9957037027746513250,1277278798334063766,2287837893685621116,2098054929652083870,8043282977852152464,1184369645808779870,8758030162912937879,392814338021500794,2805843898076113500,7526783356076854968,400147693930854360,2667677161029454560,3529738927494681568,2596332285656134740,1576395835019801988,2917688324887008725,8149552938310057729,3713661867492126465,8392951251113951690,5451180348557590145,15300315428338890,153004639772928780,2040081672786506400,992950569792541075,1759361035115859936,7157844852179129850,5146528342150391365,6648151499241638008,1231520136641734160,4618245393935227860,6893805874375626725,2658734207810220844,5847103419716621244,1132896046830744050,6947549264898422047,3486116818148147760,9105056395237701896,3357996483153510891,499897748997704820,3749269598641533330,343958593503553380,2293079607611530320,706908579102225578,4196190126817226600,604990414400837215,2754869253701952970,5257133041903552488,682642102279750052,1788802726122269100,9030163544957917257,879353280651387100,8971257540354836846,3197533965625064988,2187941973322912450,6303172417788040270,145177771719608940,4355375618331626760,3990685496713548648,1891710444552539670,37437474277638524,1497513579613592800,628315667302273298,52147566238312376,1042961502758208800,3248786284393552926,6671313117960386805,8269301599603312842,6359485315507497131,9070414538139420375,494869120073734006,275071707664224535,7157036716143884334,5115365322090305215,1766441980740494800,2085090823470438210,1077763690905873000,4289575708004864742,830288620976397183,3628934156564995785,5951906482322743595,4988192755765665675,1256284758817216128,295182838040564856,2951857256970915600,736508097465846963,6278532806232325345,1178755336181110435,3522523813702311772,2031156411307035250,7261280275108637628,831594327078645675,6068994799429067545,8613757126763146841,8386855663657388310,13609702964337391314,3292822189269195765,204547052767462029,5454641524566161040,3510625105708566000,2352209925453855802,852738117044271175,3678274765882446875,8984901506646649808,2579914706893400520,648656352457542624,9729940724280194400,5842084004778596536,2896351199946643855,10056171076595093655,528486500387505618,7587712164315126445,5954424330000855536,3437742307379615324,4008564351103725375,1122018130742024675,685482233354090865,1861572493488842778,3058965094299430654,5069511068413980380,204803715999682986,2936427955139266770,1090454287408421485,3111233734252994995,10825030147413280225,7180278134725836365,996403037759848725,611660976933602904,1440390243467625897,500089438142637740,3750707682208033230,160173882844584700,961052753332866360,686940439577642544,1717368001037106600,2377764681321173055,789283598951225550,6577428082114497250,1367358529697750184,1202290705583263480,1334680705415311901,6126845174374662990,8620637129342140185,898558276242838336,1374824760523893510,5104866459706407184,870007584755194080,8700161607439124160,1875240289029450844,87200706433911800,436007831569540040,4360121315288290000,4636920953106762222,1424261501266222811,1051614711963528275,3808529313932669109,3816200073142602075,9769578955639776182,5931653322825048528,796154651072757585,1157572946434077355,849825541701539865,3777039706041099960,608344099443267558,6083501083765595700,2682477412276130205,10304641229850779175,2136796934022314452,4647446470002567329,803428554963022740,7186970903740517552,5933487807285070625,4755190929915464915,307530033553896608,6150661496659952000,9390233202545414191,6571368071771443850,153402309884211470,613615310654888680,7542812684412332225,7348154619160941131,1140016165543077580,2898838298948540778,152626624156572657,7631406767301969750,11036084254793461467,10758960705140758760,3885963425537498088,1784523378921689070,2248422525253329850,1377461086865505854,7781457845516884920,2947581303379256352,1167011486545236185,2322810043442560665,9021664008896347788,2993977612954705065,3726536280268368144,3062883014127329654,7655316304370129850,280035797904919386,11164512388069096875,10400864643478901851,5735011919926448257,3146410841307276200,7318439740861942176,1991228742083010750,795171807939381712,2995695397357329373,4638363284382498320,675857062060651139,1555442193114639270,504694556391669657,3301064516961598203,1095428795773637240,3984473152495135055,842208397642665125,1118711384476360281,7458150040708184340,6036922343995498140,7355926522251868071,5737025058388634100,2763476662448617115,2538996635511459051,1324403773310396250,3429532028419310502,5520681518117132400,4618395040036081472,2495926252985417252,890014749527209180,10635599449686298032,3247339663843529360,1583021663595088075,362508085017790944,2265698098373169000,4231853450197595742,437310652911153805,4997885831396069680,50273362949283864,223439395505841600,3351624339518596800,4522905267356769225,8703083203232668705,9056080120474222038,3145955008252149135,1123217420810754972,1849236677009710890,10650454012290478393,8186919835290048307,5399165543615487525,11764719722876168944,4620698616288256775,1433434626210028904,1848954208353717992,4503050157258460170,1927619062573020906,273759687160358280,7061219877855599274,3373714334683754612,630443015108718875,429023698082379946,5516074093090193100,8679215115359751282,2507237200356591066,8456349002821952960,9642142935609195856,2253073726541636510,1017329136246085779,269279365889166508,2263758291263125110,1961026289975157845,6401171718218010720,786412940772651100,2025240555352427145,4642412873489612000,1479742877710069625,4488718958269619550,7422045023313265956,2885249170666656486,2635578597175189785,3214616842373141720,1108693774697600520,2580271953721527141,5223349342668780796,1707291801730811310,9067096529170891029,2122229186938867380,1658553955706610872,486660637221946855,1463142751874598040,267677017765890967,2231023207346196630,452240785895312806,1399819751280983138,753839382583594770,5172308858920142432,3079944577790743320,5108824759834911032,843088705601546436,6244565784232519625,12474176554641584952,9239390781878280150,12114174401627728239,6779789758288890434,1899458737206199620,171146959624943336,2139358485889425500,9245500724422443024,3130644545831779465,15081747494729510,452456972060052540,4524615198577047000,3083011167339010473,3628100345622678016,5048447138599864100,383852057141391318,6397598627198863500,2414244498779240576,7280635487215155045,1011792217395708390,1868955301063560255,1843308496059759420,4377324781526468061,2140569184450352524,2664269097363062300,3307713298643194704,4044055933061131000,4434836761614866124,9152037348462596928,1013978269354299730,384249739767097261,718709518675647660,1878902937875617672,183525735638600912,917637926478215600,2928566719648753828,6441135487586366940,6816437607818133270,3410473940555957796,1736345273669043180,3650390832681924312,9868774524348382440,7007434658996171465,4554577330531887726,5615076055409888475,2362630156276920632,2782335851556833390,9901478494501141394,256446136114991193,5128974504624562500,4423883137091967510,4497197102785521400,1536984049956283565,7558695778392655245,4228249158927619020,5984901674624368860,5168864376165771925,1927788834629845928,795024143619337482,8702020396813079720,12027299187121122496,6809594607502561105,1061034110927075712,823960656094585076,1989955071025013940,1150357874745529164,4257806447910013980,8888159492723580468,592571133059221056,2063721765333286275,9021853657274215356,5192936416973040560,1445972742560524896,5084417738186535234,5289249507848787000,3250783789115421402,2920629587845265100,539542030811426451,2122528600523483451,3182872117876396780,1294441850972590245,4314849895414314750,2229586795494517907,477501045473099424,1193764715182503600,10244688489856627368,607471225133698460,2949178446451265538,6126478205727194829,555949429678611590,4355074574097141755,2687795814503910825,8015177941238950615,3570843925706820861,3300250344979515720,5997034107170075544,1235031508553775940,11890810841690959976,4781489989851525786,1080035111330426125,9257537831742075900,2724416732813933350,7825557131216979294,1428720611577051018,4908946730899954470,3296200292009770545,3753985195403115120,2694181006946546988,482997091503667606,1124635379485449160,7029042592015182550,6211195579765325520,5837583553120226844,2100852957841008804,2250027019615423620,3741591990778979124,7688921620201057625,1308533062652366681,4633151432604080176,6609483307721281890,290659923870770636,2179971622845984450,2026462978119247152,5265404806864838538,3805624591181181600,1248332629585874952,879732633680866900,3815524361482072314,210950576098927932,7383345401123876100,7001144541118114452,5069499380161188245,988164060940489286,3003408653835788484,315097680647741995,23887418173464424,2149889561072218800,825197889702188299,3906180491684991615,3638987139998052360,7107583969734637134,8104490120001228795,8307031624568092325,7371923782370515784,6982385316047433125,7275753600710092530,478029292662144405,356340033839866068,8017732642579924230,1089761885842261375,1514929217533942592,1075101719096624125,8208806122806535104,7024191534503121552,2280171001970449245,5380509803872528872,7521949129497605920,38120662087381508,953026296169138700,2052768400784345790,1466978182598810420,1370010367412432235,3564923345057003046,1870286711712250326,3062818414258531250,2475777368848022626,11444971320635280840,689137074971609733,6597531565923758841,5371247451425595350,12220960766836616298,7461270118073422420,1274153904057663434,1598272392180381204,4314513157294656750,7473026302160423984,6081190615965129500,1125042394182230761,1504007633545001465,7218909101634078975,359443404043568133,2329390981858803800,12241639681069309264,8562754819569474727,6411105331676790275,1844748534146867076,6040943483867173940,5114901000722086655,1686910062278727608,1225026652837240550,5727495359825277284,716322031614044205,823291739827208969,821114486044830370,976604588638290960,379019802327384582,2644650771009424360,1060446161957953968,811436638338278836,3712216788415599800,5830521065223858300,3464265408771074775,1530604484931356982,4931920240311833695,2379737544040717100,130957166608836682,654792564690782150,1445685179656947280,3980010052222766757,4493203703245202820,9837606581858810304,5374744917596709980,5511869382165454332,2724981437765364430,1106434142357965130,995003726840913231,3316713226084044150,305099216337090339,4068031430105668920,7026660989073375570,6191153010854444192,8361522533591325930,8498220416105555772,474609676222213686,6328194207314694000,511828249502315010,2559167617229748750,3527329071425045725,3972608378297160130,959652186189974200,9596620790663645200,1040194792923738935,2022708363256210328,6505634400467421546,967960754323314960,2021010778326932154,11898059690426835015,1397244565337129964,5803520768072139328,5961338382133564440,1088380901516634244,4477045076518293870,1200705524970642906,2100235646714038166,6656536708421575080,1096437927475633352,1370561563749509150,5914420236979904260,4356677334853167365,5318923549106793750,2075851752088262070,986822997836048100,3329843150468331798,302996854213498485,3635999835223742100,4090790083027948713,10008629654630449410,1297344571339116744,393122526982843273,5054484766643497350,8274993730754401989,2733208132708179450,9130934597243569136,2272298106466014315,7066873156754941600,215190026525048015,430384507900743850,7035142710552811908,6123722465761574024,8351225749877624820,2786002481466446872,12637570232547447840,7578890977008438360,7461419351854221117,8851516235884156800,593264679226531880,9492333232523440000,2713871142620991459,3651072559807176525,7255349959262298390,6786711761738369034,699866456173889270,1470063999735174832,2716565329897661490,5147175001464569115,3267850141012066914,8981995643171847660,5256483148042964886,1861554770462912610,7388352087123717125,3411756013337153315,5033635131093292890,6263037647169943059,2233528727492411930,409821054869757570,3380922958855873529,657393134323171675,10518399405070459760,1237289862592563864,10415339757269299125,1566482421594632346,10540574779529000,65879277053222750,922319465459178500,6588064666792625000,4521046884058832792,580317531760044060,368079004153376649,2740649870729429540,7040343203746229205,4671473681730996414,8844950614846776390,644008555081376901,1569869550372168054,533612092642014855,849048915069902508,3893153719081870355,7759966035088722303,3158853343341102060,322865554569348875,3228689169267574250,1147206540382267680,1036360119090815187,1285528761486265392,645081727163167600,3225442244415330160,460951925997579250,5166872108212192553,5573106155455759830,1256404969422401855,2053574054496625023,1430096690351011710,1767190164063872092,9020318428924830495,5598360687893456160,9120578240045383146,5499336841374560325,248250118010999224,1551579428336912650,3072672172406436970,6308388134511848165,490830259217897820,4908353833889446920,1384288866397448580,653768822786091320,539886526114021816,1349730412359440900,2884670279442971856,854614265215965576,2847695997696715375,2983038082317694923,4330039766391185600,711402535209077477,4228812682867995230,3111052001444070125,3041635749854657242,8833094035488157960,500039187004678181,2143047499940972190,6998687367723660480,8212101072561848835,11597176605077252325,2088193062766275252,345861782503066718,1944748855046672220,533599983956167770,8537689113272210400,7610041043090877924,724463318731359260,10142592667354821800,1916511482801977565,4888129115605991780,1427062327720697512,4328685660309487380,3281273381042486500,1464174432893873740,4729961427600367800,2765668682758430085,2486736036010424331,2709915808707969450,2763038159572192528,11474871178964133960,838036378884024928,2110145183150382516,4008473645341507965,5118112308252862155,6644610162087698880,935275658574245770,9246657938005245288,5208722173358170460,2402040139086582930,303018175491664185,2020142377433237940,6249340202858428806,5382030918097735360,3195591404620279756,5718389890732066360,1115171671945476306,2617339628587520151,8042074564841089650,6885977315459339408,768197667058251875,1410499950571366766,9371406064776999672,12062986903591926040,4837214332988579465,2134388890659943840,3300127154519712087,49243239011266206,246218784742481550,7153539899605665256,9916471494453435975,294264676742518601,3363060264806675440,1067695059103553070,7610642431649800092,1116603536831612960,6978845572503130600,1412611825602401912,25477668727127890,1019117481040937840,8917371875094378500,386964217654516704,2199633636996488094,1588769739273001500,2955741007925669805,1206688001540496825,3266680317524522619,8874829187543338464,2029567994214447765,3443242103896587706,1283189197305305490,3992006057514883863,6984056913863385069,1133646194071279680,8666891821011062619,657829663365646980,1248642650858976478,6151309675530008548,2523864739745854030,285283214428671144,5705724512962461600,6864243478912120288,6638053639315680045,7709520333657654190,234626761149183403,2011107763243104900,429231573793386476,4620248204620288472,2138746022214264350,3845241412664796456,1608077566318328400,2222883573598988198,800451480773313738,6670499514999458250,791015584266856156,66328744024564675,663294453719228150,2504273691201434152,1759631396339779720,1261428001242483954,253970416864593520,3174663797195698600,369007796664424980,6642210626742684600,8836688764941446624,190023170133400365,1266834544076908460,116628883597192512,1749451776539889600,10120715921013725439,1572844610518849590,6314325925180005294,6657609187790094984,225131215117613550,4502672006470292760,1364996444660765125,6965345431436005254,2499997113271047492,3085133002619222370,1303201243739623773,2392855155698405450,234356405155682061,7030766708371876230,12280451142124788480,11046155862386964087,5154688453360744180,1994876475919368732,744805976440108072,2634336836703589815,4073174195806377681,8179840730195555760,3234503999575783896,478719339886887470,3296832863287664220,1185050617575218565,5679213544664367680,1329644504736994875,9808530219207930411,7407496317768116500,6205723532489092347,4320395009876341550,5853666654194987788,2032986643289179564,2616451242307406945,4190428201319656268,7665285918431249490,218566886579875782,4312313125338896153,11612165084788063960,776467782147594446,5200897054390771440,4604301422312440304,522760039387133453,4147306782299188040,2374479316590531905,79332550708797790,1190000926299616410,827083210300552478,421764673055425125,5389980079418962820,12247990107382311930,1049972870564031892,7563169242516563858,6925772296969450750,3876722615613762828,3266651751602220000,979444006704223156,749309750983969348,1819776094786107870,7314887125633561635,2498220186950690475,1431740193173772135,3880336929135390087,2243629355293751220,4793796937210358192,1281963564268718305,776143063103295486,9153199251472983021,4496012167147917360,2425407055226314296,7950388783991423735,3296765792605289337,3135879800524144248,1031546975956176730,2681946083011831986,9305741986512278580,2926641313919081728,5177074832070501180,2796779811666759750,10296637081354127035,2881681308877374875,9470457470484745623,7703079980371092688,69579827607607290,695805712493467140,5798442914974942500,3622418170947596838,9281824245557464699,4175285824357649820,1353624161269335376,486053964450186140,1191494555920576856,1489384126491753070,6069869966777305720,11745095372198870922,3397065573513920140,1269862931214661023,1410973913492088370,3089072390487338680,11784174794495302257,3696313059222984270,3410068109119879662,6799087172857574049,288565681937229600,10519340536196515816,583020635499321150,10060716353379051213,1280642917045241771,2328048083218620555,9143041529278213893,5136719261293713660,4218788377426903984,1121655063661134614,880876918512999220,3787664394012109182,174121567380574140,2321645797058670880,11979893874013067691,4458532394400283380,4587504014990717152,471605777449946955,23511664349704056,88169687505886410,1469510563543732500,10943564915112093256,9995504276814630390,432998173301660212,2165014112926644460,11185116756122779600,2824029643343206152,1550633591741197600,5461904045126987524,4339881827071490248,4266802754658986010,732117500767239147,4880835790670528700,556531657026018090,6056808609565118545,3343031641121244765,576147161236945956,12963450515412811050,1568653880638485546,5215201489739261545,4007792129020431440,4136436801426402634,4779496020908896580,8536667360950184247,168945355755867192,1126314492660653600,3668180580970351684,11815371301529675925,2223306042168914808,1687169511302181414,1733860378670418375,2129510206862323142,1217880690519319600,8241826143849462801,772511321851374263,2876939878789059860,1916538728857012744,4119918649477315275,3050111421520133480,4684271348410281376,3238584636607266080,4523539583036655970,3564527028305819625,7912483186764921687,932572271749233675,2933136028056704350,1557078703254956739,3322644040741737565,30979780123401197,1549005718951771850,3052218042810221310,2227359236970017466,931895661560808455,1331293886480651930,5159370085549042524,4330102099564072400,4179438525939997866,9486225749717839500,3901298065054383808,641637887496164468,320064704720403950,3200681624900766700,1015868063868066180,9030035919907132480,1694713285339448778,1252362153570179015,12146434680198740152,9298682362048074885,2695595908333140012,1124124328977512785,470872615309526990,3910480143697267485,7659034076479095050,5836475678205799705,2000018701798357449,3396230574902481330,1886625721309210482,9429820392858348210,7824165366742638205,10476498109797508747,4887462978102716250,1984825639327109005,2526032428641057050,301951200599255532,3522802158213459940,2835330226712684415,31832544138714144,159164444963008800,530553898116244800,2938998491404554135,5801063918432571975,1781467531743466077,8542375121558512535,5974277955959921065,7519170988745676984,4606678845542616375,8409088269276464441,8031730476594123240,1206515485187161968,5257338242548451028,1683588666899228970,2680837290425751393,5360590672318951625,2568543050278431928,2340148691166381648,5136607994889426125,4179970242941504560,2973007890971993250,1654084314330516159,3950315534529148195,107792217618047775,1437245178093028200,1341507547230684330,6628617168793650790,4039042674822308712,2637841633599191160,2500661955278986788,2983815340357380590,5329752913007917247,6607856412696905030,4415818758933573460,47400181501798164,790011615331313000,20582817785338077,617491249361243010,1372217702105241000,2272959631730978512,8664454107704948265,1126114300992115704,2732358851502438321,11701504269337806600,3737534779821533064,3050604515844134800,5465163271024112705,4470716348708143872,5936686105594892440,4509320817260795832,1037961796591610540,9193467795205806621,4646127888233936664,2899496756910400920,672503808139406586,646637608216204860,1745880390453074337,4396188471913056948,9295517056693077360,3991607184778797249,6450993153940092030,5240502182276448336,6929125030176205640,3173160076772760100,517521339472891080,646908730960134750,1395066463598062208,1531271626302100851,893924482891061475,10216391294124506160,1624768270410665700,463076538973781598,741611276486320609,3362814679678787190,963436186750337895,2471316180495919435,3444834370132599912,5438962416995771984,3019068128898124560,2170589079695180907,6107764859932014740,7728114512029208017,157528044860320771,2025382712066432550,6088021409146652163,468461313178324910,13829305485163873302,1199571282919906131,7818728623998600280,1315933206395644928,708282226241937450,5666319788995707120,9436972355917442592,6244151648610650900,5771893943192509372,1835129006023051375,4189727770893259956,2058146012754955608,2536134760025554410,582568530905490155,4411653817005586060,27554462834889879,826642937455031970,4592511060630727500,3940155530433289605,4851698338290271770,4006133869070319402,1896829611233571830,5803810026299468730,755067189254819840,7550754648900608000,7451682907981928248,5769112302287452820,757241150562012885,5697868710025621722,246640154161306100,3453000027002316280,627587081512042461,3621735248037619125,2700870164300998746,5409009160162197200,8329892111114138208,5528984109633288660,11026869916571972190,3688087489613354727,7624735470001279110,220425783560977284,4408564075303492080,4718878248978914670,12454028520780549864,9761763388858637205,8082111704827720812,7845164264229714108,7584324036052484025,2211162001791912940,2409949655562942285,793759665451777825,75714573458234634,1009538743161348400,5047749207474542800,39509511365293120,1185298374081045120,1201544251467160287,5130890290289926200,2029149979882570125,927365453592913900,8920386912146927508,3458285269997266755,616213744516023530,2873657158294690102,960789330636296975,346439578553535649,1884472649706448848,7828137060759252325,13315825510488983547,4329207038629859155,11671269859670225656,1647477098742532444,8713573230741130080,1380363794501036892,3626576526403022075,7615184618385836208,535833335304139152,6028191458351048700,1586084382594959312,3257793257067357960,2139761689733234600,5496468442038602145,10782284691882876900,8569258399135568631,8494517335571701175,2213213437766469766,75031408954832526,3376450653297260850,4804272887654121712,2557353078555296930,910759173709439410,1229633638394397145,883665306772665915,6709626482490640135,393909236211184980,6565226427279852200,1575024659521492776,3137951173009252830,3519430997312211317,901684072643881335,2859756911517931558,467483730238670164,10518500155627309050,2626430515737205596,788390860875267390,4208572758422953516,1066311319081150664,10871006942286076950,8381412271534590552,2042661345458290200,4546587546322877484,8917229604780380912,524885338381969440,11810050758965136240,4114606647932150720,3321809328752255896,3000640082687801664,4366855245260843920,2191150326982862523,8995657022126847810,1615751085261177462,5259948145121050696,540801518584247580,10150814488904321733,1964005312760824840,7909466929328006001,6351000376634731195,9534101707251822200,7071706044996499592,958360375247014625,1133648929164752676,2519247763040314480,3124186762406790350,11472094271626526824,765121728479148125,6121041694492606840,7806447781873888847,586475761738623075,7037787196070458740,5557070891448064280,1921651607706310758,199282656663584592,2989273017300418800,2526207006253666710,2582890523468447640,151082961381601936,6043385537070477440,6239803795173635700,7217511621654840395,1227848148296747425,2637246877292288307,8168639706110177415,4771942681290503100,2679397655801444097,2095736220258764250,3055273380354632292,2171638741018807242,3727282808918536000,2868807067506951030,918026086975223850,1530060486549505110,6655614126816727026,438822903761010520,548534729134787290,1509497009051520430,3719857354794905178,8167264310253063438,1993489758637230140,4046552994453640016,1636623024428644525,238597528556817136,8351006434992715760,3563813122832846780,9219684865806558225,2345507815723214820,7550639670987254380,7260582647037744488,4761022570879292900,862762813223276999,741974846010098375,1111161333118943626,285768075118106052,714428147414153250,5848363074593786096,2812252890876549750,1532629760042351308,3393037140351270753,269216543831648265,5574436955800774735,430874769184931740,9694790407403528670,1307944522904901154,1381691319714552660,8705382500110144644,1562051140337091075,3093411859715583718,11431733706577193679,247010481154174590,3293509836119215440,346358405683490825,308584269114788468,3016680609332853038,6199069989089783015,2904158545422951345,1075492631808534100,2293607964265442636,5006046053634731135,2731743628160081000,2922271237373753564,995048570058509550,4359819572298701406,555794846121035235,10004419035013476150,503350549735092143,5752642013314854800,7037988537212978048,908577909299880905,3590359063058990475,4615709020792091995,5369002009905565500,2399042161744684026,644696325002843490,2149011790940819500,8943414288951415294,611639030623760880,9174688127761500720,9805665659213597859,4282000911626523840,642407460068237697,4282764345855609300,2477480754865369128,3312282002325248745,2096748311505376400,1015250511579812522,2735617262833309400,1843004490135858196,3164215828451328147,8627772110873576960,3947091375043732686,2657293627490025700,1159942533761743774,8520392435576478776,10629418855418951760,2287949947820127957,7880409071126618940,3045918975560575512,2049566967351373902,1296425727529259600,1014513778464150997,1349889591490698080,871829967526009752,4809435920393838952,4873307747682692175,1931951114555772324,10633393026358551855,3827892757007935865,12076538409013574214,790317170452722700,63245355796091370,316230329997243750,8432903504391652000,8557321681001100112,7350499787164232820,7203256097274772314,5730057827335976310,312781924794692256,2345890797192881520,3009819614242771720,7566982889724392337,2056632982243929300,3648329950746271023,6273375591116823476,1068104619718717625,8458143739480069544,7219828098756142835,841083004815957484,4649474151170613765,1717989479067496060,10235019603051040716,1919735599046446290,166906596783547872,1669084752215315520,4059276298670887000,3371895107807759410,855688783911949200,4481782649574734872,151295829155595813,13616777964430927350,8264111856712931817,5147912811859808900,2133269381318698458,3955980459492124145,114180377454625825,489349988789796150,364011936808936045,4680206220378226410,3238417252612697029,5871556398386461280,4191893031302629227,5996667225542014320,5447581962200582127,1465115972027625466,2186966234009011975,3645884050997010732,4390217188959730060,13494524685072744996,2338537095955802553,13297970425980196350,1121590999288089386,3478667326037943100,7194824173772845785,872177450754964455,1938193994263039500,641845591851998826,5039728373147407695,2583266935574500071,5704883351661465720,5689684520211838370,230157512837329815,5053805924042479345,7209740056119556688,4455816549583775420,655123368000027160,818913465478104490,2615729756756191425,7959979664985745254,1886256272714603406,13934492214947968635,6324190828879928615,90587620077766290,603924297636213720,4026207525679096800,1172932928360373900,1125094262407265541,383584847450560550,1014093828864660477,440971859978405056,1249867657763026990,6038016388147052764,3501344355769607980,6827516570655257240,5075059807162754760,213634183558745790,1661618023119066460,793691262345839485,109604270974271955,1096055126200334550,1973199072116266680,770447178052591644,2767796844481554920,598838233511616816,4242072360144368607,1498650315398936490,3058167025966795692,9271397386351719710,3014112178559247060,3862263071652063921,1623218493042549550,3692917262058649335,8516327672481689200,5816783858098397170,1713115039203362319,6784777156291471645,420304846120875104,3647798591859484335,939688380035090814,10762888394479694116,3454017158725050255,1799923701682355316,10710503484660793760,743948155294958272,6703965755344092696,984242453036001255,4374460591923617160,11620759368918123120,901294289566051563,7118495255769063995,44584726469855780,445852331672541320,3343930494079876500,570590820567394081,5705973071741603710,1981574786286731000,4481107435819854035,8466808850876275000,3296294229182911572,13525180548349879386,5603679524617087235,303066697929085845,7071636740337030750,1234093890085735068,7138912978102351335,247776517877633175,1982234704277578920,1701793215231228840,1092549463526531038,5038477501766844359,3495195742265134760,832863809484544415,1270253599861122225,5360324222698858840,9873410874094818512,7644509210704719510,551480178850328676,3676576417375740400,8999832197942742065,622610257687158546,1976736176312490500,1387549044364434287,1603969326883834100,7627019461496384832,3408998857864008750,8440539528064848165,5887630637312756980,3410710519693429015,1027560211902941416,5137859671365745480,387391991458464040,3200188935489597603,1964794739428101100,6900760054488344202,6708800347803493880,4595593235318048880,2666852913357512776,5458450208422508160,994026342327760312,676615994678341131,5390755282963434040,1236530481227556894,4793035501914473450,771578793508314352,7715876087797164320,155005296405335350,13950636092019849780,1265633542241953075,11118262453450568,250163764703978580,1667777496810906000,8385258913818628849,2719752002269496055,1156928756743558075,496672358964746163,1327577388502225770,3784782180638591202,4687249182728892315,5549206438003227844,4871529589015640808,7738190206186213865,14066976492878635188,9747219841595407745,8882211585050928474,66004556266054264,1980159358138832400,136226764517075414,4086849733697885700,7731136833897599616,1371805934946247152,132666274209859075,1326677939792657270,2439020412151196400,12160128626684235963,5123655013478711532,1885547264602339725,12308567233488831368,10311715206063040455,1145405532840248649,5881628401846944732,1854442214113021740,2391023582028194685,35116786544030055,1755859465228609350,2082178816781687988,611144250256293740,11786842385476516376,1475848606718296155,1205678837285916959,559850484363805836,12596780471037813450,2673297838339501912,2119688465630869680,5149177315648120972,5129333979791869380,6107190727536872400,1303745437009544048,1507189667794231200,4219455946076825146,1279951869452804737,276845464281043820,2768486451112067320,10629516113371906560,5853917165359511144,8879112529441421994,1107948266078145870,2110697281702876936,1056911498513314210,2681077696902487585,5523837649784389953,12502404460374933195,3686628587601061098,1208787291418778155,7054379457890401651,2321360286672775456,6328094693011486590,8394131881109222816,3979987763403168280,2713115736444781524,12203182609197023682,4475461893398788500,3107515593033756735,4300846264522235000,2745684009196538540,2127678767811858104,569926450881262435,6649606052127956617,2657457947774720,19931164214517120,531503835890739200,1328774900164480000,622142042146720056,10692554630706365795,6155673382636236186,1519850745388497208,3798507920547914220,7893301131450181395,12294549135002477880,7827635680551662787,692323859579509381,1978090984586199700,390153646716045842,5877918582339850320,2027453237731030912,4456472788032384938,195363699449520000,2279269463705503360,178224884362779100,7129077662339140640,1987412457079456290,1743099407326080480,8334397491571016138,7390749983574513915,293929840131678475,10845537396659368872,5326863646622683020,8638423513099065405,865700087559528240,5771400599009864640,583611112788426970,5836178571447915500,2344456896634519996,5549251446968801975,47988280049007132,119972087075904930,1199734741807888500,4552337365539144245,9483115108089117000,5367291091036710731,3995964993841876338,3242863512060221500,149996415009359188,2999963008755934000,5208672201401873827,4420083274324783944,7730938576970686350,8439680016413681931,2905186579779517755,1616300715614638176,423624804399578798,534032131304140815,587978873466245541,10146577596582631995,1294338543965984741,1059546707827378316,3194067897594202005,6849943692443650872,1961946232945977030,507109156558725240,7099610468136172560,1273237085240957460,260873800415154432,2029041968800985600,10514479561446690952,2341322641862036110,9083496061997271900,6157509606651636471,874401635960945875,4931299273068188670,1779605951604759270,9670924571617953665,1139750345972005326,305992589667775585,11803380578651881352,2960291655385253826,1621348599117713805,867701381784022068,4092663622913467595,9835540094868297633,1420609553902187264,6115678643627841120,3081600251355653469,6111149198043294720,5200535741692679504,323560520302283472,595111527632443590,5289941711002773920,2186544595603263840,2296795229133773158,1951382115341842715,1466212247950446200,8924992410773896812,1629768042285795400,8141881068856262682,4488049990343146500,753889970492741190,5025991591717843960,5881039640938869940,1751109920308921324,8454533387611384696,4913964528199220525,2859447211521848388,28218521055325480,352735618485886900,705479448450543800,6429270454297899660,803129963623141308,844536518907091400,3167048823260692650,6274437264841178004,6623355595540703110,12286811786687015240,6548255432813719830,7011151168397264620,6700549987080357360,718752636259928200,4231422400173374940,4825745988997404375,4847179131359237096,10423072071384976616,345749367052799710,860059082178397422,6407273693589265525,1179094914926481618,10480965918190932960,834756145843425440,9025172045853291666,3089264313176426460,3137393298664573096,6005150987457015744,8149157116693140380,1627582687294691937,2673828582568154780,342066384695585706,997500839194853752,5448590492710185630,5762918155566415025,3833389025296319835,2175788382546727336,4093583353217724162,7673873081586172000,155379885786202004,1553817010080703000,11406815719135221728,11003232121036453984,7231372419467423275,1329543766339426001,2507722730382922840,6195065682174108516,2428731389428838442,9378665205026425245,4524927007959489160,5599854059417863875,879521570845573887,1954515239341601860,1794588395886298670,4888278445014277135,2341150854327691560,5076000195517918245,5718177728766927216,54121073332813320,180405689190454960,6314273029131886000,2178971829135696690,2755327218934245648,4347538829213751200,5405713522884218008,5769625249538198300,621888492359383230,13708489392549103221,4774227592783155775,182782114923550632,1523202136961089000,5840208942084761356,323036533711524371,115106726796655360,2302161518546293760,1992169883677456010,442081964195473364,2495745727425743076,12359246488282474605,1040365048746224946,884441798937742290,8204877909871297065,8285733920923487315,5844999809196755480,3839268949769108472,391979667983786850,5487779745560292180,11944285563038896928,5851762719452724825,930865522393798548,1551460749181710500,8637652820955680977,6160995490751310465,4858221735713954260,9341876660573990151,2576934550511952240,3278086524477735425,1461342153147036202,3004594835957193690,1234949316977194455,2648999996620618605,1790744459191665870,9171024756550414605,2004736909779699780,2341681115151531636,1541306060020151370,753257092465271034,6277216242225040950,13005376537799008215,833641355226292015,641504747460332360,6415122929857346320,749161538494195905,4994469013227577500,3106147277196896280,5666516885710541600,6608919636040985964,2983052057812498308,420042138582133970,7181343467244191238,6618392031507333570,5022883833210691480,2087422825223922056,2282736584103873725,12516978732187809816,2417524605064128560,5855239963587196278,1171285537652533620,1510296235419253570,9613544890615414384,4523284762074171525,6654856585791267150,1566406059405572084,8258090158370666670,8505146884707912688,7742488492655024290,4605680371447045662,1063878252251085101,2226163727392794800,156195349614874521,1388419483546310000,739254811642236645,8871162391438753140,3471042088840596585,1758958948406475909,733306196061756310,3436994277654005376,439892860441783671,2932653685388313900,1491390733036619652,3869570869943507540,2293139676801176931,1292289165622952466,878776870852628720,609030613843401867,6632546380151313975,561449263512469442,5954043278414025109,5092324887600431325,3576446761503304684,9008749635059174175,3851416396804665312,200258221526974308,2503257358507556250,1937587374482007768,3335475665957373100,1989870949230049425,3213703882453836352,93353339541521125,4667722182618096250,11154924459902506200,6188837239436430310,11339036506247201847,5924076021308802020,1031096417053244906,3514929089170958595,5830574232442434144,6543785071041313732,12657906133099205175,1357250566444685206,1730519655297293240,2131432824933982395,2253019439338557918,5781123771001945600,885754129093325358,10014266820699168320,1398210956393778213,1273815102155212162,29691260385191300,2375328977188969280,5522329688284368700,6581551993073512932,12937261276613644506,384354329651532025,4612306634970070980,1332436282063151720,614704940399978072,2761769653471232494,9890052360837243930,8738258066605930212,1853004952658232555,4233440525799005836,2101373110226916568,6816857467648753070,1231300856076126972,1853183325736594660,13096641176002354572,754761744082440993,6488644047867570085,11922671190942991395,4285138504398424080,2357829405528418308,2255115042798918714,1066634623594669675,6095127386322830360,3744927583025020700,5667637437323245020,8737665492074824212,2346043682508655095,9158268317685854733,3845378652373498680,365723799591914372,4702219029846312840,3656326573007860360,5567808129415888896,9643940603935704640,8370159486479762517,10829824280200937000,4936767016742498580,562588186076073690,1223605725399047165,1110489801949131503,10980138659611031848,4143811346939122635,6583886271378444516,10055465142933070490,298909402886229805,1195651843515912020,10887933839191092225,5826455543218848954,1214694908273382200,728611697314618845,7286203742277682950,1064197624029475020,8567137514071250296,1171134482422316180,1167568612084715026,8550731940051751256,4601145545616002560,2999224949424378552,1139162909157099440,926583971108814277,6585123195913025075,3163796627098682610,4020351996045489222,4095584267190322920,1866445912626107824,10404874615746985766,555194258311138495,3129021500800729004,4388699886271561290,1597862241019726405,47439547341809604,632534845374332000,1581355984133784400,7517319215182538125,3621811753988060605,2650294789831924458,883978548124547525,3557412873663997740,2829016928783644575,11835530917607985160,1932438436813422524,424222704089420215,5454357058693048590,9028632261986918735,1586485308641272758,345046022347004338,269944440732177770,2699476665974383540,5425087577363210540,8333253876614504136,6996517239329048832,528386643179159185,2563759618096605305,2138074898990519910,382639588233878108,3873254484231971028,374507214521284000,5617675411460842080,9872596460601884625,1379672245851260582,6435177466046633832,7092248734438526820,3432381696522994345,1004876331175364940,2020633124571948216,2805545147188156437,6993171399336571125,11349775508754006954,13285199517624693855,1335193864694444313,8884604450072464456,3114329284587547290,6274367991868738515,11306720744806483240,9849554811627313314,1344317701444267732,4299252762976717440,3208131592631859152,131973943440834550,1319755252490841100,705456913849138248,6845457600530642025,1242299549920770698,1286263550642718725,808639400537517972,6738742484155899100,5994598417402471680,5645503301148390940,1075152916489087345,1535951164265025830,1039646758951453831,5098670046950069040,2168446345125842020,1295318710183239010,335698408248249198,3357024378284617980,51597501383672895,1547943625585847970,2316395641641624270,6103159320125675592,2080696171648272180,7830311443005684880,1679524061577959674,1615967967198160590,615083415734179675,3690544834657330050,1162007928845921025,2400645275421954695,53933289011698450,1618018117316857020,4420921932212108876,12026641100495428160,709648571990281033,4382077563739549620,4686245458405448080,2829262516007037510,1413573787658692370,7014229103731065580,9067881961977269760,1988140472234448408,5556432085813725921,12588836819567378445,3761810118739457898,11178274457497740840,9911013227683074416,8724896379032097201,11894865347273051115,482081687174213646,272066923603700010,2267251663885576350,6753971531123652290,1545795714936867800,8168346164916322728,878559576565116800,4955454206947765890,2693712421347869205,11208423909339613560,5098280945037805304,47869984100778700,670187854750703240,7659382090656233600,43572262151444380,653591811768361260,1759603302426187905,6533783121658849422,5347008924581949856,2520692313044396320,7625913798838238905,2765899882351395105,6292726880938900275,7198730813880142615,402430378281652470,6036528515752116270,1014125235783432240,1761959367978398982,3288550925677241331,2815366253029843800,9045200493296800524,2231225081110850625,3203256855271509078,7860333080969935118,491060027413677090,4092216320465078450,665861313519194325,5016237921385192312,5970844332254277268,5347186126225180965,6981673080149353506,4391821136099425905,305901678687864831,3059053760963295810,1922856278217710130,233060234248808688,1553753680030350400,3494883096255679590,5569781214809521224,12693809237747397435,9534858140046076362,4394780323492802300,4953294016219321890,1748253487837360770,3962786792397851625,932795724492484452,5912934762218660200,4016125176109125669,1276536828938349748,152982205028635920,1311291917117501760,4147611242695230835,10315633567270518513,1864224887941915098,9084144844101581190,5619295036576520481,186581371552968225,5597508951407907450,7200666372465027485,252576490368922060,5051591016080041840,13814955814023066105,6067515386416469406,553276104842828444,2259252372651444345,10420769641320900342,2554601552760192990,6426653933579066208,4605072736717001016,2515865458164200275,1629637121339692416,3549502983766923400,1813704557564844050,7710663308406147915,11637756654369449760,618681854402874999,4219361790327641295,1501238193083044368,2683587863565234444,3014094845047558590,809602027489420470,153882637076937210,256474175672269790,1942315189119891698,1348973467011942840,7494388053934955600,2583591444954010540,590003200887371922,1685743909085599320,2300823575594883875,8485208648165802984,1392024846939770160,5850506397076232360,4900433421832463457,1327014692622022950,2337871284318558942,4015197211924745300,3798372682448491712,7801059975348940390,7541898528561861030,9886602766065162403,4116535333771832970,2910254028047463996,273896842197693948,2739001743172195800,1885686515507792512,2916485540315954950,943529666213352764,5353272178297134413,10169186702196041520,10868679736998982703,5897265524277797675,5083466971209574184,12574567032793221176,9593184096469950515,1901662237659778972,4611456324181203975,2046477516091752042,6000744034206862956,1161286605651930800,10471353797871735496,3010815379070356950,939888946100767068,7832503334753367900,11839537843826814045,1599055648020927544,2426368076106175830,925190128614515400,10408515847544558250,2421633962757703830,2541155404206502512,2489445175640208125,1757280277687918473,3221748936795672621,3124440774388021760,3581750474724561770,3925067433135927800,2943155915484651192,2546708147336317377,4039152345285653340,9089910950718015278,455634743946390120,3417205183293389695,3642991595225326448,8185177332672429300,6185042646945719172,3446764727946767500,642727738681867795,143539543695103878,1913883961096457200,174820370449689,388494458510300,3884992053973400,77700790554308000,1748289152848050000,2432874393194026299,856532450616622260,2520180631920653358,1435551430279561883,3189911539618211460,14343762419754018957,1581531797940313785,8754953572767077046,705719092771495233,2271709362259274865,7149731599012181988,2249300499474806595,6700612144087014636,4760046467585815,19040418873612500,571219557022577400,8568398228293575000,7719158462427695725,5401104855517810105,4920139220483213680,2265340472716554638,953255327082154110,1588778334852411030,1528813864747956531,6502901709474358545,9187252067526457505,1442544589568442920,3737915549868659562,5773017484429522068,435005771817213090,483345669842985820,93317479548997690,1399779350556375810,8848031982610573668,1157403129503954385,1333326225887861688,567690738301414360,4971008219214954116,1257380859088095243,5614134823459850300,5076591746545022184,7604659512872024875,5928977539282816487,2454011821026615525,722780626046579910,8432544117167038470,4376254581799861925,1545910839537899850,6729208904755504930,2763246785917381680,2621188680895101940,2726459463426413430,4056283488082045104,2258137711337973816,4571762098816590960,1027690237965395716,1946297077065698630,619342361619809776,7741874635599356200,6710595034470177570,33459213862217187,334596250520833950,8922676342366274400,14184063307381815666,11150993984712011400,10517693023202957874,2561678795523797625,1672236724024621335,1214611893503495264,1518283538653905400,4893433990404267378,173808904343108225,991814881360880773,4250687499302041770,11179501847370100960,1202697178468553616,7664505237915666255,2134470868982539500,3279728926028621682,2706407369817722220,759565349979843676,4232722716580886010,10055711724159211656,5573293169867938172,4640549350932893160,2123849176892695295,8434841756623701120,2890133116154524782,213893390070521256,4277920505276244000,3342823725558610926,5467372887714196725,2846731785107818972,5836603180960768848,1979924996730387195,4824551765054533096,4960322252387545460,3667677691146387279,8377647411952036344,890467000198284240,1839827031070921210,7285702982642953050,4819497500789644715,56919778631828024,2846024041508978000,1801806058885592942,6142104746646201150,5234404170054574432,618249693141521584,13910789782368487800,8656728657890607704,7427425453164539520,7192362223790863938,4034060624648416165,573824584043379375,4918557171845695500,1901280099742520625,515251171729892979,2524137551124727629,2878817754677157580,1835824959987103108,5961508650622955625,741315387870513623,9211845512020178394,1301662600867951780,237056809143344496,9482389574438659200,6035338930420729737,1579565168867653130,12492993131401713480,11145144787935362397,4802215935150131420,1644913292267609186,1655827362830269825,6142822999448344040,7727810984827741188,98375710314701660,1967538550176440240,502951595009317748,6419323464892046625,4727049149352624220,2533168361781059700,4618777960100048301,8125753439600535528,5132402050976031780,3636619494877036764,1102254585096510925,2870551095880890968,1569565844748916912,3943159229199764355,1081028494286385858,1222537026706596510,5275042213643555268,5612225050006893675,191556227210000975,2189241155493462800,4554024177602009460,1191046146885003318,1547930337024396676,2020788974123699280,2747300159728387744,713433083798834070,1559883149169765398,7033202066429137530,3842027708475189900,104282987221340080,1251411369919224000,487414177059114079,634006490206503176,2377553838716885550,4595551699082216184,2799917862969087585,8047157748514746330,4373358234805987154,2904847356151772890,414939006424148619,11065177551874985200,1043678049339242292,4229083857073020570,2327978626849166375,10212331926035396948,1414355436187233295,421937891171095369,9199814961625181712,630335450395652830,3014938292731324582,4120853739623890230,473397744494561486,10756255682635414826,5865985326647387550,552720852631437816,1949215688011724600,2513268719251761357,1534395385202919740,4468585190639790080,6348850360564997444,1482464547851236495,3913129088918775999,1150149349039841928,1545532582916444525,4476452594468034441,1592821238936393145,2562462693552737035,983855417839091301,488964992258671320,4074758988867816200,1079810179365068025,4627815525853097850,3102707886064560603,3738485125966991400,5402280609590051740,8467657961874718390,2707390164330527169,6172130841694608450,6224615700408758700,1038640384408291496,1186357855707423525,4535957600198249568,3488336300954258868,432614702032887165,7892491746047706728,159063557254154670,7157949307400596770,9334396001399490816,2325286594577177770,1291267879722702687,5526692646682156100,11652633774968026192,1192649191989544667,521376282412869175,7299359011492823590,830363029006957390,917345322920043255,1458245514913520239,185964012029422945,260013019118505237,9004431316096035855,1627628426196167216,2609104302066656394,2095415968138528125,1757419389618741234,7411791609789034125,6927656889362864508,1489578672814966770,2758728959598448490,5970099703944840156,2808561581676355440,621931539408360436,7548932633994677445,2794735122523169340,3522750471605612148,1071414145659798005,5571676736426361820,13890894663977135406,6205501774785230490,6680989813432111848,6138808599508777560,5678419122441739926,3018206759630718914,1380104240944346890,1000014547595173716,998125272083679675,1980427114506302945,3802417774555305240,4816040627280506000,6708008855927675032,1535060285557872500,3185591575865837040,3140664327820759974,3901637162269024965,1014087684590654930,855660830490949110,5387884760310454340,1173441908995397734,531552777105994605,3599699689700682477,1023242608784830815,1888831911694903812,498217761201412179,722591650490755020,1441657003313010169,1835859982414090060,11108205792856243264,9724894106257997928,4807149414349692120,2440400277502102857,525655752219766500,1314155856231923250,2016199331545963992,158911683469594450,1589136763044219740,11876988463449856600,1317893140125095313,3574226849821801344,1416833753727912730,2723401622574170072,3240815187118263360,5095715089970631228,976809382581557150,406558553829567475,4878763880686501260,126513421487668425,6325750484460459750,11556575403439639144,109820178170616945,2562503000660036210,1375856433640795590,5536239048072578792,3095600360339536476,6407984754326462670,5008214842888611536,749988814189905180,8761665581403467488,10759500890205050672,2558699350401812400,7965335192445084405,1519404290011601175,1565172822432405342,12786347834137762974,8379338117373162360,8084318479954525312,2376841236149455845,1734664604054151672,1956086288916442434,286572936566795900,2865765412868474200,2781530125994696115,10115247702086239720,12902479070023468737,6095925592140904520,7434015019834162707,1008959248456175700,1841667089435892718,10803320419565122515,5546687582926441945,1517311921478038618,3791087346269237525,8228371122560029602,4886484453193899717,5618547807217157475,8625819271081565886,7811619245708705250,6036265866935524155,4299782341363279715,2952405756482844375,4397240944142644884,11055747311111370240,5023334152704496760,2176400931203981870,6893868579185241780,552418467310669778,5800737261020642925,3488593191049575297,2016669973234893084,942470366490509820,12316375981707657496,1953875413366944470,627578994117853456,10982770939521867080,2541197184391867790,2982030620310160458,3434936758627951185,301525355952790101,6030583224849728820,3063509957607404550,1171972716966411334,1511684726817634875,232103360893144167,2874958276407932156,5446784972944413910,8230586442836409648,7189959517012569920,7804331888387513320,704954680101070520,11279417362639043200,8958108183047514792,9480373773230674770,9647911449421990997,8664288959195924418,11833356676587510,118335062341084020,10650290225757741000,3077789869635213065,5391105819440524988,656756578117125690,470935743365181864,6279222645688731200,8917176015229862597,10639198091463090191,6194471456589383000,2664223252437244716,2494856463206048500,362695324159660814,842679288417716556,4534873674398796105,690604084805023473,5593217233491108440,1739899492810140438,5945669200877837022,1459326587864621700,7894310200878529662,1000241423473104990,512622354241756072,5126288459159072720,11161589335338488865,3035340476466534606,4494315170442281310,6468988063249525476,5814891302229186970,3262787858827068280,6977495061306428032,6354033499244352375,1294529838926966252,538093579699265184,2989446668703320000,10522259094499707789,936940122834696450,8868755294784923928,1054229107313674653,922278403105936620,10296455901634854679,836471132839862385,3554561226307066047,3747685229000961618,10050901288594568815,10715421528302425662,6135068233661054205,2987568550275806420,7383970619038624422,1854592798872937620,10041393159695886040,11940189470256409695,438067820647440202,4693794624961761592,2544974678136021425,1952748419688231277,3557917051233408585,5070446561138670184,9161432776640369802,6682924088169151400,1339341730909728060,844714772845238400,7039379215132470400,11233502791652852568,11292854890271769135,9243966160814323323,374574223119748990,537934176582889898,5108089304292641163,863821092024375245,618375701474271345,8230844564779139730,1772020583906833124,5879752066301014055,758799226804487850,5272761363490312776,7324548121706699065,6711858801203519392,2584183541683787645,1450177368643076580,21406895867299611,1284430098319478100,2146040731096786076,2762035882267877135,2133953630213943075,2088266052728995914,2174852496063081600,624192429305261697,10002541125670083039,11636091478707339280,845790470663646584,9515263994034533550,946021122351788834,5752154489020528340,12357895276414581360,7049492318343353361,1331135713922789880,4912379138339342152,4196713551683084292,5186578631050188360,621399108285868105,7001018260995779725,2330147291909630284,2509458435971608758,6811818067455535120,824547238219911856,4122788771460990800,3393167135012750570,1836794895174655280,3712518255068424400,7155471020806696770,11780076380050460000,563314185858845762,6058695141373217895,3533306585404664060,1617670311560688450,319041605540918875,1914274069927460850,3132168414557057954,6080625658811744425,926327782034089029,2476474662518390750,1147165669310825343,472587862816788046,4547257441617790410,5792020877042657490,1392999525663626420,1361168799188760240,3351591297116829507,7704694879331040400,7701119157393778264,4801013546842770075,9337601670978165426,10038308499520770339,9132170295842127000,4635649368389526498,5219293293108193400,1233122225364215352,899698994977449478,5151001823499042960,240077512605896672,2057833573669910400,437682459699404956,4080699856883489273,1013134664197175845,4484976489819260568,1167155947340676335,556394616103202721,5564017375258285710,6827506469830040775,2430514982818905798,588660001803914200,3679172117161273250,8421153464721092904,3985232318589797925,3507514989177715248,2345898277590585980,3424715146392217041,150276677847639534,3005572061226987000,7634870475036433496,7631868948313719300,1478827876843207993,3018768648749762409,427201272221112120,8544134958452300640,6963791509691062200,9719529245640239688,1163631452711944774,3549044821883890995,5119496767164616928,1778848350370633080,1727914601817019010,2436729205217179180,1273538436220155455,8955342992473921554,940608191255020870,4472207551671048384,4065478052612701779,9133655382626053020,396580185753507392,3013289622987403560,1662266365296472284,2888159081377196068,7156640295028422450,13738806038897506872,5657550350898156725,100748005276674210,503746495649141550,654717380057382105,3455810931717849702,2821033604095007745,8226634379021748090,3436526649101680888,2235040723660425100,3072046317032067884,3761747596795820970,1293152681892198303,393826986662008610,7088976882918731700,2900226395240363256,82434327768697170,824353876751897820,5450303494324691868,3150769475489895375,862136628462026192,587571040568784675,4221521208440271228,913003400396805144,3287805845732055375,6591551815368233960,2625572573612238400,204592266293721534,5455863980942468640,2352787476353962680,4951998196048316658,4524955521140323640,36270654996142516,2901689758038719680,826117534995810460,3665997376399250616,3388962562051122375,140706851432558229,469028879238134430,4428126291042314610,1480213887918382265,5413083800813706660,5401267768313340496,1290904687475330304,63945574972980050,127892798180896940,5115777862999036000,6153499212244222332,5507319988207115946,3426544652078530875,1192050291302199693,191097618677162750,2866501244194426770,1517909401399449495,1424221700110365810,4838820781890453806,965334204269595440,16614744701012708,249224385919106220,2076896680275747500,7509355523568868112,6743840044391941875,3134060641827405710,11561993398155164536,4773912763176506490,8664092272200787338,4735902256652472210,1316938462662170001,1230065613474471688,4402284597172173465,1838742415126567497,1741025757131976380,1136944925926063128,458343318694811732,3437619300400818750,1425045494375626193,2567307876815851650,2126036650577764496,1965091329953445988,710735922669822280,337717425950098554,322336444633242820,4029257646119221450,164586216476119005,914379691918466250,1986075189612157563,4190549594313304495,4648512125340487748,1821188972931710565,1704170592892452880,3132172727266044162,5539197533664952430,2960454440676142352,983981487247362933,507121940835525280,1267821259580184880,9085066286793719010,5334031108416804328,936444555955074904,6594681254020391025,3575351371766924792,3585156932893441500,4603496615448982225,1164699242565536795,2325713615748089790,4614336615443742628,946885522882684920,6312651929141753440,2609105731223404762,1061018119347652020,639031744275109468,6390400254013915400,4494527534124734223,1511199412634478603,1056304755069839275,3023424815923126602,1915612545938278005,4157692050012035432,2595575132923194149,4413421493887590540,77354074246499211,5414855424943942950,1300092907757457776,909302859452985144,3897062810120358000,594233094271876280,4753926435526904000,5598793414170798327,4181850503292873411,6404899064309334660,4082781855998800408,2210747809606882120,699678517942455707,2241768472890460824,1554211697850817290,10676466822095476304,4251488217548227020,1505553036824803918,5155283874181119939,900466026704963905,1917006873111083590,3077561108868064650,2713008891311507943,1993786104859879910,1252118745063210320,9125869391160274962,2176673867355160215,818069285546225386,1069510975055907240,6684530489844768750,2961141033981198936,106844714996941675,2136922085801250140,6165535235970582084,4949919527997494960,12228967830354066819,1422405604472979980,4042072803532541856,298350150112224396,6869440007496022325,3446690785459045704,1136736116293914950,3418436336425760588,3980172357969709720,730045175285334025,2920218712757189420,452371774353541340,7916609116314022670,325621238387738584,2442191087661575100,850605863543555714,2739903186677136750,5386861193978403952,587762686566139712,6286820231477350950,4091221305647210260,927542254099741875,7950465769180580100,741088392472821704,2912082592382080140,116282807949376055,465137294333497300,715582252965358039,6437643454299300534,5698594887912263680,2047639331849340324,769358828666815080,626365298780064658,7164765813277181135,10132265296121985310,4777300288483520148,7158151887592616925,4301203047035199846,8727637642737449592,52773618022287695,1583229200021867190,1338641426956501905,1241297137495284408,6839034553908598398,1000786049560913000,2501997785552891780,9891331581094139400,6542657458073388498,6205585084798741720,1137154809230983715,584231580165537234,1947464035709918700,440928364702623804,5879121660482476320,4530951084273421300,1008405511930197315,1678890167004433440,975750055166920138,464555700970381870,7432988358915720800,6186077940193997425,7674606726791321135,10389159793712291072,397952194357219808,7959147949640451200,283463665863348542,4894876402348557580,4802605917139725615,9302121838515309450,8036629270808166200,1898422687504661860,2873875368513766750,3658330975239755468,2180872768422230430,7426603037856829320,1099823538493338269,9319708633809512260,3820966770499246368,3069477174103641714,2821762612027283950,809849827530588091,126750081246191925,1690023212177254600,4009948997463215592,3212989589093945490,2431272680874963338,501078896001760660,5364178948769152434,2649967344906496905,6209133840875614200,11841081790328716302,2120596287706392480,8314216420771863112,5790093964941632512,3957655866980621500,7345749230391201540,749612899550435700,1574688919556493834,9115975333926988281,2295443680168060100,5470413765117933736,5478677362032096180,6899636293463249380,5433418742353497792,3988134443862984100,299800344874715992,8317463251770116010,5808361225155053892,38727373081242856,871377329158812900,968209738967630200,32389409037583470,755762797621289780,8637402498704907200,2250171975731336660,11053502129427547034,10262643032015939240,12354005871864612744,1868469619894310082,7692605198300424750,10755576587592380943,5137585294603858650,4016536573612806440,552781784745026121,2074052544206371155,2769328190862525308,2847134829911828820,9124801261246479228,1395640729923732322,1058304215376846620,2273348023607468005,10576795257879626560,1611863301904998360,14502585480665855121,3205339005969518530,7575943493604941965,5761604825652324915,1564501068027695237,6797560583083908126,377385750570253815,1257969051507174870,968204789670292790,6806328533553094,340320904965552700,1361301534702130000,2848772919987022624,2685761985835726000,263822892210601476,11872186439092858620,579622653670070720,11568781048716967203,3130205203568704670,9090144514551795448,73265118042251473,4395964980691701300,7878192894059021352,2757476758384561300,1769050788591648984,8378179122937260406,2035582436351212335,1667945792147837090,330016540172382090,6600417792211678680,11905164985680340506,1295620361596033360,64967413470030370,779619239786531400,10395060251991006400,178171470622804464,5345214604660980000,5058158663886549810,1457948782107180500,837044205931131216,1917671498160627236,7611381756606694375,2110797177777628239,582947042943184570,7917049592030062616,1948342869495049716,4963554132325449435,2700100629779614164,2671006055501959110,6772059144323348795,3820991169210063492,1528039326755445955,3796565933605315615,10253194826284730790,783684203758149384,2938854577511840490,114945337474982130,8046279907514543940,1596896376079118920,1912609486977611495,2391907944095260192,7971922807492300475,278367826947940677,2783715057687351750,6052575048353264725,809039840228702683,194707951037411625,1947105250650474750,549661985192069305,3931066954338880242,674986165622859342,3857114810138444400,14160629270317185765,2417856338734890530,4750961539552459218,4387526285622477978,596353169732353590,1987870199444624860,1276501567170492950,6572896352397616843,9237275415956215145,283526815074784890,2442379735575744934,913100092304228365,7422303546226093525,4591758362567261620,2225263769734464750,4323390638851712376,8985244066262739600,2683298237832577986,9949194978486327584,4546004865241109260,64855788105177489,1945699418670961050,169567908727471536,1413084628806266800,3635374770902550795,4085104579019923095,490139528367393125,980292049338260750,696277234512470364,2320954881468690200,1515618408709613745,5666848359890928860,7503708908476385172,4816372842053854372,4432126565649871410,928373336584051518,4841986478394070100,6418184028533046264,3127954410790535092,1107353415999597325,2770270239262583344,7466418380669102400,6295721264246795575,6439280096324239665,11023792384054861355,9717604562192368424,1685926440211859870,2131234109495308650,1611228793624800840,9645298840103885490,3081926862787501066,5249387035407906690,4044120372356995530,1120578896393929784,10677839808489258015,558869233511387169,6691179877560506205,5845526320872273036,414492085532864752,1554365974861473900,1342916354983258684,126919453596074640,7615268430226188480,11084208053718048824,933264758688055950,7537812641077589970,6279901974348451875,3757838698982138199,4875148612424767252,2641124485512003645,6541729383125627325,6455949565567406160,4824801492781084248,6174774476279327564,897756165426128285,900137298854371215,7390731835962217400,6964673758735076670,2092519071289013801,1373757988062479235,812832649028367526,200983430269449100,1004930529196348300,177677188517900267,161093245718529155,4832861723016918510,6272182658968838620,9110111009086589848,309087521348297652,3090916383365295000,11376614262963228552,2659760717141625350,371985051109210262,1464324257886495174,166966608258805425,1669688332850885550,214999955474066620,4300056421139599120,5271311497136439770,846612233942985290,3474012633916710645,4395502221830381340,12879927457970568993,6911650535020021310,4472108815659706900,863564366764039695,2774392584268404125,6302396792251188693,4303038243543970608,2650736620485101325,1358271127996628193,1295063085993927740,162880968904742656,1832435354159830080,839435739390479950,2893483192841410452,14068026354611165625,6501775397284563966,1137827633335496124,189698752197940245,4426363320904792330,1473961674388076165,1528979835249752968,1178829983041403276,2661099810143568630,3356898322421140434,1490164919713226910,704370890894748762,3521901510444615810,2961852075173552015,1995771544869971008,278697386997245390,10532465051295373641,1156750588406554389,4978607559005490080,2745872927440614022,3974793914013195550,11858503535945178368,1086101607131649884,3295205375989468725,5130815425982450448,13578188588936370225,3741480976634551787,2470595952779979085,451339900991979425,2708075637148746930,8476558566484983975,3999649546383094185,1978388875309700110,5058346810610770110,1515600813486477536,1109512877306598340,2784516944808448508,7881915834260869856,149248065106457810,5970002539737732080,369898459613165485,2322389918052007140,5640970297636511032,10476391143877330860,319189105536258559,4723707263270167935,10704818477682597249,2290182654735271652,5239464867016908150,5162411284139081160,4802043975535820025,7247874511943069655,6223247049049730648,7003381241615253985,1198422414217254688,8271088237122842430,844506413998994602,1428212023744265660,3017563260754148820,117556511368044154,7053485281432258200,3023894315651841051,1084440260209073128,3414053227573683930,279463904149775595,2794676537669630250,735967551618611877,2665220221547991678,2384605952417376675,13295267543575267002,1903990855308942195,3483515339631247753,245331797852041754,8586728205487570250,8468657179337232441,5278669025729687500,1010203460494299928,4537417370566712195,8860972434804678825,1096334482536179936,4111309536062123400,3037523804137244448,6727442621052956136,1503417922387151390,4234319089125529797,8810377198429873320,359599654024080813,8390771367749401470,3294447828328312475,231408373357487036,4628229686248236400,968740429465257852,803498352772105319,7807316933551695350,8391876451835293144,6234265465110666560,3957141800665088748,242697178714319792,1616977096928097750,9665061658890143988,10791325272110038075,849155458569356921,1993269391745447025,5994743030517368320,3056830187777403804,1910244099479408520,7691471309437351090,2444227132216689183,430919020399113400,4309248221249325200,4772707972157333745,2680097722706187102,11063230946638152012,1921490876509952290,6053044930206281700,3377035883005449210,771744585368765937,11176470775092495834,6514835699149084110,1144364439717235732,332492904877545945,6649947712757428380,5476645897193004696,2957250371630489200,3667579771149866352,2147101195963160750,9188035423394515416,3459239174330051378,674615624473739480,843280901817758410,336854509177019275,1171075985757853452,3903639270171152040,522657803012627880,580738726268804560,6646479288263417785,12585374971492879935,6174037307708179452,1147741194601017420,6163868459613765537,5667877047753306200,607126038813853686,2425829674581307554,7135454116230809265,2900622291314797436,12375806881181888480,4469489171085926455,6729385833875699640,2510485668153103000,4555561671987178671,2434214399013437700,3679800621086822391,928305960150777053,10661425951803440625,4064165717998436792,883980810173931860,2950999022122537295,9383992936169220603,6370600846287429360,1198300035142605096,3395916587158598565,12804205242952598112,8557511078878876386,10425827600904474640,655223713233461244,2912144771324160800,3201824351508797744,4573731601666968948,1996722446256979335,1580078492552133522,949044552479900065,4067388822848892870,3582513999165095592,9994265980770825225,2767663572811166104,1753836897170829600,3341009237829469325,201140140727314026,3520480569836008455,2684503640084318736,2071061767965051180,2042642893311056697,2947449072261681234,136960514382791320,1712029614724674700,1649431717823423430,424574155332460958,4521941352934264251,488990028164657715,18966665364208834,758676893635101200,7586871736381823200,11046890083999687560,3376211874828623960,1687837651810252975,134446505210076540,5377933106167175520,1918261246647533728,1554311759855677550,956801893895600353,4393238980404560625,516658374179006049,3444435872149069260,7026920665771129080,2718378672341903980,1875664079140303620,4515810515795270697,464796715880143871,1406184188623091280,6566835635706440976,4876290159410964040,3375871229428837932,1004212784464590225,737487586439270240,8428543967318981120,5665526188548336530,1609322623517210176,10523487989955307577,2217354918579543725,9539519494015581952,2305007082723360860,1797937373713046774,7952880589584687585,730388337782859375,818881956428233178,164889765171804750,4122300136790277750,138006076994167345,12420715709176940250,6639202397176214048,192079055203410675,1496936374348375195,6862310099468338495,3012076162128804680,6265864423057525728,6427296171851701590,1310757753401167872,135262538505858712,1352643779730858800,2491990550569708452,10325594102470919685,1093403467260089127,8504364876757173410,4784399932096639410,13385197222956500562,1939004092551491385,6889700072061504174,1044110952525311944,1305156453226878250,154261782488007112,5399235879476803000,7354901128652746296,5430521513323054458,2824256352924517875,6523159874746226425,424957386572581140,5666175649136196960,2974018623074032180,9738384844679985105,7618040015290992364,4602585678638712440,759903862863548165,6079313728696989320,2996352488791519325,7884193491973570807,9181247102985840240,5619754250431684568,535892219526930366,1476769955696438445,279143454757343655,558294520508071350,1432167377657569014,2686383471408438344,1359738667587814800,3219415533862798935,3143431542839373450,4462254407999392524,5684465671000218096,6158093115470154800,3835709312498327436,5907382512520437500,1326826216001203208,71998853721828138,359999181224346150,354840422116485214,303207838713036170,8456851314929891874,2227221915765648964,11201027731295950480,4079150943450068304,461617599170859690,9595098629724407506,2175753196839842076,4568466702102333720,10106351292020809572,7461843675355006350,954287725776244083,1558114226693154389,3900643040855857300,28289754475477144,990154936085357000,4243579143210865200,5807317842219848760,2282803114519698435,8220951123126135723,6115117598729017950,3627795083863048672,11597270424532690122,3048211989611576710,5063022035002843624,11674671745704288440,6431792082678766248,8824261089710008566,98113218869399565,8830310484533921370,646776133412939010,5749199838914620320,693269586321393956,1318120012827884460,10323363413388396546,320307993698014245,1067707924885578130,936566101413608774,3745386093803719875,10083398355285230241,8777220089735604000,102668439316947306,1197814859395732270,350443760650098180,1752242798936134140,3859372512446935650,10930120374386743019,7011772871915766157,1099316027950472560,8996941681601661816,13535438801005571040,3832127750599549029,9093821036600663172,2531130175934320870,368307286146262334,1741745234848636920,6640147341485029788,6618678675829828070,1477538715740492040,1677331455828785834,266998138110450425,7322286286465606883,2149668721909757892,3347870657512747500,998287539424301540,3352826504327559975,1908947824879430192,7621067715220350090,4376031154022303685,12411836277508491759,4786185958874321340,2960573051606644752,740275353997489164,452938637620556330,4483202586678407389,13786162821881373645,2797467137284689044,2978575446374409636,365170803755648220,3651758179088774040,8060143847513000600,657561852549149408,38964049132959418,2337875058603840600,4532726329398513498,12815007213145115880,1398169087259673591,7883430852481153136,106949448874149350,8556073480792408160,4737482047491542750,9463047945366679195,4693307169174911118,1363140978536648340,792365860179538120,1584753506709427600,6124666703729441255,1752082624044850446,1909564502719157625,13417454351447649189,1139454747977622260,6119032977319297545,6911933264157421864,3092787893736524250,839723613260852313,10567425189894218685,1834382637658816765,3350468714891320864,3752366535814118040,6279019450492240375,2365434012404427330,2258407721997288565,7599880745157823128,7744066654299828150,4592502983779980267,4773378572477138225,2547091878902257008,9352088387334899274,4798907735297437775,13244286204848800035,795836119411015605,6189921747664634070,3580855237981703225,3962176056143689860,919635322993756272,2043662210121956800,931758064077232588,8447712685927429428,5379631682102381900,7045049182540964014,1245536819518635560,1488344149168710249,1014310272384434964,2730674987647908015,8769016450203508395,1615333583456100475,13704142906527280389,595957621246739521,2165130400636977050,5357401820627733760,2881487785066643550,13286400455457522315,915486933567888997,3923569564758382650,432523197054375336,6487937486179140600,3527050893063901780,1101201295535382392,1884948830849722335,5621663881007406124,8372944541785185040,2131166239166901342,1799814388740721608,3364083648653004615,13116838043610036468,6263328135332511680,5118107640342581755,1918447435120418176,4631674934537809830,3214432728421401012,4594280209007346390,2714212003563955724,2526101185975078734,10625030499283299225,1265348153055117957,5791666179032307000,13691507033092927725,4030993907969271397,4397641752997057175,5307488365677284360,257573992201481540,7727326608136290360,5975307382082106852,1200484543978373940,6873733029073396435,735426146506779630,1696316342021240032,1046490790383957465,705475136922332460,6524978072181393573,2974043525332300040,3714226384555179584,3456789103231885815,1222454098113001065,5433204520626899960,3984180874585575020,1622873433039367054,8036420187504130930,1431670415815880875,3906453286847547258,40558599915928200,473190218087093640,5407963097943657600,2018491113824860640,7169538228117043496,1654302880879516150,1092966519918360360,10929816615537531600,1938258976631676060,14217704951090411979,6923055543084827790,892711933383196818,13390864580705971770,2110585803634705185,5025620825860919459,670739578761807110,1191481649665506576,2510064174600909143,1325244754149377040,175704614087548962,4099831181043520300,8774667709642648863,14516580930251622885,4449876932522419575,932299586472493715,2134753226652637575,5956224977756290152,3741931775002901464,9739754866250884200,2346655807151372247,2624243982109907140,201752278812058744,5043876976444906600,2900056312916855910,4784088037544195781,10386212439855522920,3178389737542352706,2485715209525856142,5173406420456773975,580477463455797832,4607739507868225975,5383241935350043575,1999494821229942168,1152956514426142650,2712342009310247108,1347102623636374150,4265351546018932716,1791925096093442928,3279999212841084500,481989499222730680,3614971485314347500,2281964949953997074,27399078845393906,1232975687860373850,8219952194617835400,1350486458532525280,240001844129859076,3087592361569566276,4825531130896172840,4666217732132726203,459694263709400670,3064671052650896520,2676663328413580764,714371951776945960,315284932510791674,1576446596600807650,9985204406274528879,6622722740297945720,218406644907101240,2222685145438083668,5371564224765827480,1605321348648829968,2269116336478427934,1574642217968196300,2906109933733967688,1502259302845908800,4486788237261975642,796550856170116696,7965619499252478800,1111495174972977252,447685531638392810,609761155854522579,7269212300775881202,3571605829479626275,5025985175142368944,9773425499749117885,8385675850061087058,1173378191780819115,2987546071536373905,494267067192424032,1853527339126265400,9042156003872018139,1514914119203138393,2443107725194822475,14654681657059890096,14598602499903488595,12476411645366634648,1868366771680647342,4786182901874714500,3371275724256756594,5851870772735637000,4789998346215805716,4400230749591261408,9729100414747910,145938542635409790,3891748779433396000,1606222797898493678,8393146159310355666,5725704341314461420,12566744801678831805,5570355941198436180,1137159912691101915,3190691749959045888,1288858706747770665,7413172382516236895,967916545484294910,1613216773154859110,5867003993998677604,13075660006081715,74719100958911720,373600724159591000,476845751016966338,3018529819118922276,7194743167149333250,2501485987444773610,113948086158800075,5697483939553528850,4849998569606500242,1498991402953029005,322022043634093243,12723628893397844840,8653727488055728687,8582748603973366257,2774239225951031750,3328664144900481224,1549329460628080275,640868568256045493,1831078665243737980,1005550370820741675,1653253947571760352,7877953869798850355,13266013859230119696,555622010497028728,3472686162941899750,1274835862297301784,4946022993162343450,666745699759447764,4445033554583682160,1331405438758347350,1633677049793946456,8740521759984505400,6864361806663643584,257109392412495207,2285448827946593200,8585442153071222649,1704828256017421870,372235762139538075,3230878828055209576,2709409026020723260,1510340557254061788,715249986558302775,10013640130096866690,7566385336654363752,10771781585840855505,1109399272308237778,1965726794164909035,89941805469900318,299810221241054260,6837325248767463525,5663031737065018434,8401025625352103310,4779616845968119610,1405514430856812165,2017986288897127700,915523519204791906,8525691512613387450,5813939374032040610,211846569188125803,1462762465277211735,1614081679010423784,11699680144041259560,7884963695731438610,5455767226645628255,6753320426077346640,5877681881318449048,73987836300209825,739888749897831550,2959596550803186200,235917640916487530,1179604768053688130,377934664784823405,2067954301571708992,1381364554123540735,10183648650508309095,1527678247537554612,1785966133560838965,6356061890363842902,6444215479160645952,13769267290704636300,1233801338736365686,2549715755640783850,1328714596869811073,1414026994056610692,5802113252904902360,726729276062886798,2223866819960979360,4433979408379261580,1420443260821430510,3455609428156084260,864575255418143551,4389012991981226025,3226842761578195296,11594054417425612968,8634548573944926780,1337252650003042916,637333799497237440,4664804723765776587,4316754535270970455,4270556928417662025,4444303224827503392,383146759040436615,7663043033893062060,1348501159651060653,1289051788708237350,8263795716591914992,3765833799881938750,3386687317061467139,11018907721618543656,2106054447397013610,5165686195695266304,851253455228749820,2464257449519772585,1280621619402484340,929109802538075265,9042130929762432040,13585768804390495140,3648283427215002429,4735094183300177448,5451187302141385360,1709100698077994208,4000455360496712975,7358046988010535530,124563036756131555,2242166269515839550,7730175757841293113,2561864359427524050,5024484743453688440,762484512935390262,4545681247425775625,7430419294375080440,7877461816289223375,5832693318975387696,1521085038858064592,1552190963404855215,276084443820645451,6769245276339739830,7430206753003069620,1162881232910697447,114149529843670660,856133556831175110,8547194225608473295,1561502181692563866,7657635043724698956,6664419044655876725,1329800964265089230,6160398991030443390,2349501942136757720,12898488366788348862,6340260868666364700,9997687302984216472,7462939852052268605,3452900323655255776,2802203608022434110,8425341938692798200,8797713158768951664,8048450178078049375,9790810700717965177,6451234567258860834,3150445503957667725,3511287901395766960,1958661929903896080,9781038456232136028,14420466467063273799,3969216164201508255,656598147186309944,65205782275787080,652067043725233520,4890571991182631400,12938559799632359520,7361430829771522965,152037360048986895,434398602396494820,2692470778877220445,968719314636001330,12612107895335133792,4251870466479175020,5796660283828012368,112834637315619485,5641811716735118750,4444904059732010226,791880412396565975,4525094987467944040,6041331458478912856,2796410066984968385,1454627939683969288,5903375248664747360,1687820452429030632,1079357646392183020,5322663596119035075,2525824258346215836,1748627516646963925,6912845156882560392,1413653550039084705,8665287324055187520,4110126305432294088,2512487342421714080,8274317402794433082,2871442333173689528,1284365994824698240,13675122656976263409,1461596527568880165,8018281036619795240,6643875563190530455,427927289313270300,2526983133330154085,453473786757637275,1511600726827724270,2850150892176732697,5620832926174199580,2984661972544890136,1710706818435187160,1511944280047050447,1092151203674346536,5460833503408689800,576261404287127156,859120203559616705,418581944028012915,6417149500440607936,3978050093772933500,412675045411172376,1375603013297356400,2715640160789933088,2003570081186093408,5218723905264686130,4718937500190392895,2373465661162044295,848066786098422156,3634623564943470840,3358977122995553375,357298076059493636,1364781367591234875,12131562294848019120,900779475981346842,11106677041366600260,3584653872698223156,2360442934499820375,9297426646380404742,201938661003497132,2690492343872293905,2867250552026768420,6634122897849068440,117126505368375515,2342563415947585300,533510183681946490,9291510841330050723,4101725311480487520,1107468701518839585,579700374228002909,6238475714794953455,3678298236276848475,7338130476653703870,3224295878637477872,8419470060157932126,4746923472542631250,5267300010896447580,678399604325575600,3392046301125411280,1816381438110102270,8350925791413948870,5004151884754444956,1300131222371759400,14626684510058876850,1531544025868228731,4164227620273652295,8335908322586041608,3029542350411850800,9216307522876391496,352047126917316815,1408208568147154900,1494060329796779784,582878848293875560,5828871535307738960,2971162022800895424,5307089543797965720,1997366237699770845,914398770044524240,9144118036540554080,4843520679173915922,11371070505353618200,9007435936046955888,1443232034402623050,9408291316304866804,1759683345138407360,741607279938373770,5851502732425076279,178639363368243075,600967520959493156,7512201171702145450,2687412897937219365,5399238688169237548,408124459836006530,3234859699472030472,10793968044336490832,6237976502011371885,1928639407407827290,2922795686315705650,1872885279954239614,8276727592276611405,1106589705259439805,2494340359368250824,884284937186525090,660337918562168525,458158604911059728,5154357914895514500,5721472148069000197,11390149674412222350,9252450546434300826,1381922102157181962,1814722590178019650,1780339573205284470,1149016519336740040,11122389096937193871,8108042764207490577,7425221157026112375,198618281923724355,4634492820252044750,659569055962115664,1465729966298041920,1562108359710162680,1262859428240390308,5849857189282546275,481828816554971786,3860799002496339845,2347079700845988540,828322284058317237,6744148782921464370,4253203178086507212,7563221594390060704,981801437071576550,14690173875482450745,7938970960245880125,10287931496690591289,3215361832734472248,4024655589728013615,951936486893925258,12286750367855402040,1867612959178694073,9193486951123015359,138369147486931480,1383711286394062640,1660021524883320930,1242185214842218374,2597105914078886334,1053550236543406720,5683581617809515056,2771739603815380800,5677335850800540033,12558846713057115183,1706898554251741780,2770858011928211560,376544183411491080,1715345814831981493,3251228699873361676,3154412992378901700,4129483322393541372,1988407874487996000,288216765703204635,1152883590506444940,5956384830510025695,959434918722893235,9361514746492849530,4306743805301930955,2966790864793584535,2887118752389137040,2867696816174210850,4937886818033482120,878538852547145013,595143291133236625,9335025262208844945,4349372425767462016,4178873969798420360,309162599384153647,8720871471122195754,8575632136011543540,5935074462151857580,2817381198558018155,4489898237916104208,3720134815186603984,7761642945442710625,10064656765863027136,7786394395571243725,5172638065903861616,1462791921123792273,4561575281399462430,4132825159256634357,10520789794937714080,172028358920107968,860154151925423040,7165872829927539910,2433346284124786092,6227238436130791760,1229604489268931776,2476754328807589509,375219834876617250,3752252281784989500,1337644499558818345,1866090072773611594,7189707719607200263,438336223387130680,8846165122666471472,8573321064339881990,5429595777125721061,3603254674637459538,3769993921487040275,2813685527286783966,5646423453318812400,2008646378750570624,1883529159971303106,907601624840968890,5039789201089576336,7882334480465980395,4277935413819084492,4587677372454917248,9806484048138577140,7958731215994575415,5824250527445983325,174071315466655053,101486411272743979,2029757449547103700,626278635456243484,8952693918288375990,501766172475747213,33208162036880649,1992518420232444300,210388734264550070,3366268239033615200,2786901985421381514,6554205300167249850,2173527342913694400,7214076417317375634,4217573189172293550,8442570822533810988,2862917425581398796,6725236245327941625,2000639310280321236,275465118399534050,3305629074897455880,1770865644859845981,8853542935892779455,1638554222826574845,11393354730966289305,12144692227332943608,2957514960630727707,945350098278101320,7525131245863909350,4250689662518477620,787255014489289984,6564103936348141980,59654838720502480,426112139316936800,6817892612684608000,1933270700182641570,3164170544355396158,3180469328840400225,3043835977834462288,7343696126833632300,2600413332358559736,9483209136522261882,1043586628151932605,3567288644960035032,5123807206851288075,3248074385003334432,2338559611144101474,7403718169809412560,2571497096551183437,369846028654777875,1253077223180253744,896115714837863678,2276989026746862375,7197022368652999946,3508610410884647920,2209536092243923716,8431659758319815598,5052295336180433715,6227475271560228699,3213187986330728370,2022754987052451386,9992162357793160072,8044137872999033400,211004273359110432,4223975488858454625,12706571188374630732,2976887600303488896,625753856745898960,3911018175835195100,7552225905642762120,7707210201682470031,2330013872093483368,491130923166721965,9822760594867627140,11218791539010613705,7548259219705434606,6560529456779738118,9792598344020632440,7240605819653838534,497279735036459190,297010605135607002,990049684080220140,26809955110185765,2144827465281145680,6239133473777643270,3858808197073743928,5299808702596987293,4824474840196849375,8655156855456900570,7768673386199963700,4375365149611298619,2907379687035810964,9840927937894747820,5563318236045902496,5325273455601448375,801826452176626984,5809476130889165904,12525183919506520080,1569337326778974832,11524528385114422860,10512243543040468824,45118211343948132,75198109193845300,6015935965817876800,4766278691770287300,6620550015890647025,429458371771203448,1073661501712595900,3544157560384286168,651460548533183925,4767574230419482521,10038640798622544129,9120329040253634700,1535876916123544919,2326434625978097300,4451525127705985235,6239553700970677635,2919409312632061840,2922087916488604752,368561624661349210,3613687042528574622,5117486288016897186,2226936530494772880,1709291023620375416,3021569466946225425,145921508533062696,729618138942699480,5091252145727040580,2112785863507401924,2841392292499569960,10157676676192699346,10979862590763154336,2930710392959395200,4671761363272483155,1131616367691474325,4385203080036668292,10345347059114498704,4918325217510223800,4836361486793785569,10709513766914495400,1973388020706433136,6593562749247647112,58152273623484850,1744593575368332300,11385459393857344845,9215974517293418504,106354322358954215,1488982169051205850,3875244509033597256,6234371147537787280,3204158452929478684,8635529117394451836,8750357561741338060,1000656866761746159,746986392650537700,8963967157490381040,1076297807476612707,1537590674855712450,3535765544232797778,3856044698420938140,5700415436585048060,2213635097580114364,2419743431469945100,1194366893982308938,1042545419197143925,4533683404449940352,737667204914314997,3215963922769754520,4401428010843798024,4577041326935526120,4208456397214823139,6947725189446297140,6742064673076992480,4589645392963819940,2887803029346747225,4227621302202732135,6614828799295694194,6163551854918366125,6584478485497211992,26591496307677250,265918839469193500,6648067904630337500,591515556809880960,2957620907240565120,6557943832447108640,11217111220094939887,6159041817565032605,812529983838174675,4651853126146671354,712886041035787625,3877803617381559782,3650903920137516702,10381863715562987865,144160067640312045,2306594738711314800,7436504777837388834,5322668004985100718,1954988189234831625,3169804760496344542,7375053604824093055,2688066538815433616,865298606045809416,5768741594018429600,2539168938944829712,9499535676256807640,1463347287494672772,370157575296859708,2893224041610588770,2534632347310178562,1595142618799363375,5076642902502209352,1413139988405636127,4886986236161941250,7763072371016527225,1454907853232621450,5578021669688591408,3556260030954144024,5963987068933599810,98135819846621136,1472058814028511600,4853993014412809134,4139344273296768483,4493189625779924090,8911887834279842286,313695361858753290,2091332992912572440,294570976405000597,9107812964033715295,11989810809912223752,370638756705068670,1459584119173281983,1321253215176039087,10032550405409868840,8951284706012612474,10192806387647080520,6136950293880148815,760107349213010933,5108376929046140750,694989849558066844,740596546809955400,1445982329183973763,2524473817652508354,3670090023305925760,8552253040773055875,6387065146754751375,2517654900662686546,7509602249092681801,6859610583012056320,1744637532092028025,397986915436692840,689546541498156758,629416413867412752,3147128173337516400,928506561166995213,8470138573331371400,715962508238115604,1735168979322998388,5087422619041699890,1008981650443786180,1754167341229122690,543807544444290535,3010728998265663822,652126921662275800,5706194220517688170,7848567008382939000,1774789399143537042,3230978243247247025,7626249850257557675,2652614073115617738,7908536330075383520,4272113253007584942,2150021205444196824,875937029710133790,4776952511065493745,740989332936150910,1240241752438079604,5897951004188634846,1179351921033594750,959248113105491271,12413203781732364520,2814014216749609084,2708309216798955996,2443979327773979620,698168362716890789,3181937796443993040,6168693204769654782,809900840520965088,7375379381314893725,1979295086698860336,66099205295324500,661001761450227800,2644045883001183200,50788604881535560,3047361060296955360,701257397176882825,7012677005850790850,7696359906403683348,2560080695176308200,6215193545428977828,5766790902703568520,2492011835569305224,3872564547089289321,1383614097111048595,1993740865789252938,359530348826123760,1198452116369849120,1052719286964392017,5183548721564412640,13857808547805785919,4625996099396945240,3370640752454763068,967023766014841825,862162634509544325,2454410129326911054,5960583872804995000,863795003495905546,2829052861567431835,747944404535801340,892218868703443268,4816208318536614825,878609166328093218,3845501409724053807,1290011349039301155,2743236631199868478,3243306176941300380,2787476190496727202,12166258905745629912,2392939136971946360,497529199678861896,1243841316606981300,908722933562370413,4258090030061804625,1402195090966443875,1157233932006552507,125871043324129545,1258728977425518690,8111559132584679222,2329509298051696875,9406958194897500624,2047218497874296325,627353278918232459,2662900038193173194,406104689894083530,1353702253818001660,357505324066572240,2241025418984551184,8076669302220905673,49561763761132695,440555507388741520,3854917535894351500,2821376016405828985,4899519044624592269,2861462324195206130,792497096867072894,4002772826126315280,1287343429934334656,3218406057256193440,3786729747313900335,2175970137894954958,993036479895086320,216953400374066270,1301739613807482420,7303743417349791650,1639544145566872146,1564126849494645825,2429171458678783413,9460078668465512301,2492845418448909680,9016429696302399637,9410080949214331995,1808781996992564594,5615348210617593474,7828273800091986325,2588789810509560184,12661033579247447505,882275269000954522,4071683073485275255,6975796593466977640,1435251083697246735,7438046196332541400,247501220324209566,825016260072063620,1656728747822848820,250197736514854050,834004782698272500,6985291741728432304,489311688085354475,11173173549445200300,9000768441398058024,6798848471963946000,1227680108821743816,5565776710270755706,9496875307009357960,1133726703994016808,481782018373148310,7602398909518152290,2931605833181604488,1468209090553269520,3357171109692850086,865277004394678340,9259140889176459102,1579893355760834696,3260193149733473850,12590238176274378888,3590807649948349740,1464805766589450110,1456480630043271612,686516375326842920,807519456719636124,9384515104987849905,1065924075826425408,2676872507934759939,2629593710309188000,623659658433860222,8815049350246333350,5993657677455509288,848400943866000846,11312180164313968400,4731481062367367780,8516505185097088725,5592626642281393557,11394898290185159313,5578151304764781275,2520261770864675264,9500381329888208655,3957031748118223944,14820858988732615833,11357356215180321255,9656004989584919301,5383868642182501830,3100448828641436691,1312415605029963612,2151128727687003220,7721989049118854538,1659112254293373375,94538679649717940,567240491738475240,1446586506037839150,1522513733395442554,3040674185519585250,1421392883713549404,2876773785159951636,2963119392913920650,5860141800874465206,10622720291391615225,326189874309152451,4835984655438674907,7622383428573360510,10387369334767865661,3283076579544090320,7825871633156614655,3205211491818742004,5651002756010453160,3706906397283738544,4066649154759837100,265737234263850104,4028858112050723716,1196748785950116560,118840417813626054,2376843666052459800,3965245652504675628,34026697407198132,907392080207400000,5671284774932226000,11523019932523009200,8404516867946460604,4081802916154493277,2468939866309420880,1582883820382366278,9187306593201687790,9426806317165741998,5995436194667510227,1872525702414610050,1470308317056923407,2996382730298188660,504665075178408844,5046725809654902440,6372089929296700170,2147657373969718596,3335508843627323160,5462151615380415483,4466862362943256548,5049242325394989120,5336374840674386845,767602240324869820,8580006859556882528,5736969730145447038,3183921357504544800,2121999601861947186,2816450108025859200,437102830745249356,1068980592720645798,3133916898544329480,1230486661360293448,2988555259599714340,2600641415485929258,3717334769449128345,4968153894210597480,145423611345505050,242376295856658750,6952692237763307841,7840836262501202002,7760400617115979860,8248398991133740614,3755692932850009690,822306790788012094,7278701012613286632,8890597886940224520,14454787589632025424,5988109526981991025,1662924060097290172,854275295994057988,2565136225820908125,2397192391145719414,3398277323359094200,7556929331323230304,3563834418529467075,2859767896657177485,9155078791829822382,2750882535713204515,5637155791254253992,11773941262510484763,7598082780964875275,1648980915611073265,13169139049783741080,14351667270555232179,9713459980651737609,7931148616914413940,2763412837787080025,5138391735507035205,3766798227589837235,3702175890029022504,8957235683659974525,120267936181945776,400899106010687200,704771129872088038,439158277940179096,2174539772758905700,4797888873213835910,8008368765701060250,258749031929749364,2587528968865572040,8229898331191277190,2490018228593203730,23024869474860215,1611764944318570090,3900866272722360954,6176930957243455980,4563290544824009784,3733710296049629025,857491581682672066,2498957703168921240,8827105591477328610,8948330965503306756,121881614271082605,3656503095346696590,2272575582541604634,8681695446175080480,12446401235178192435,607681308849846910,3355896715870764381,7618787464083696264,6771133408737611550,5473610791322003728,3691060766615776000,1308133255517450778,13600702015990416117,942977220294619220,704523266302967687,3900770159759735130,4112979445728340552,1822134305377533670,676430247659929660,684399090794587686,5323183724484693900,7937192035369655968,10882230044857016,217647859602888800,1904447287504525400,9607072103831692935,5286205885337401808,938728653747664596,5604597014814122375,2578808126513931184,11886986185443027135,1634329374934932413,5851732258982943364,5608586952609921000,3176304746990634064,7961886653586834600,294085583944634944,840257117792618240,7154000016620850320,674763751355677425,1200089429601042330,6667263440795915300,211078774279714944,9498687247660636800,3792402714082017852,8157585265684364430,2197190888143017972,1063484761293945354,2136671600111504730,720293152049833547,1175304584741832220,2744988596640940161,5283702456006065790,3220179831634206150,405208725633795321,3721031505867868700,6609535218652287648,11521726608440075132,12587587375361948200,1696177835940075086,631624610358597375,1353981466834927287,8435350109889964296,2828968337397723690,5626517572834446816,2498255850493344120,225698463785107460,564254632139610650,5438000441969285960,360657188511384476,1042787685097798395,13407471612249597810,70892616319867719,393853784756805750,5514035821644359100,10075535279218336480,4052644020957158692,1023291400016898820,784142713835201010,1223276734811282168,2305399631271162370,14395235724414301356,6619030742292949806,6623307055719991200,8886900578500895696,2360990012948801900,887757581532562572,4517290233062375992,2729299668991252940,1632708280713996304,3088602769822719240,1102160713933688936,3277290186828104142,3482404593119696965,91059812074472229,708253637214690350,3035418396359330100,1693114416407154546,1357360138266217110,4250653243873179689,6643104937521437370,2282641477765070048,11860338029653193392,3168661012505601480,4734198725681814615,9539750789672904200,676387984328280066,214388125017338364,714637842965191000,525230391678351228,572732994225427350,3625032992722311597,1983617700944753692,14834625191315032860,1584218101234751453,7545985400493687160,5775908345694209025,8094552362210929020,6447518902617830925,7837735624089738774,10317804645024760765,7475188985416271110,99720661820130722,2493054117572373250,133835474756230247,1529571337638515600,1793785477086591163,2720479281084077337,3947308744702214125,11443367454266787102,3372540008172878445,6533965361176543220,10338396469618620151,1522059050430869450,2856430004084069157,4553689046032448625,2477735189828207109,2194136067718535058,1034620378709228220,3279876101788808496,2363195672553203430,1252987627652023536,6559718722333938161,8722844616212007000,4832976289360616460,11080287432685818200,4805346433151057936,5189930976279050335,1769174406031417040,5551888821793667670,4663680728444592360,129680367834774406,1296823259242470260,4544929706191635795,726169269796404369,4584829272732657570,8124377221524007728,1515844610675505138,3562911622364213875,721575918794226846,9621157597010926000,3873057224721482277,5941118686849677408,3237400426980635250,6385282214859847065,10563907440089002815,703435667171057765,8441355587097779580,3259339591099800080,7606100528843977940,2106219575347639955,5408269964902565436,1594644561790254492,2001735829046193870,604808295866178408,2688077518652673600,831077340194522124,5540599395078393360,4746397547913475125,1207620878762361635,2383855376596450575,4360666465996524804,6393323370585048560,4746773372016802300,1867534273505271273,2021464976449153850,820217225066946820,13123674206557472320,5956951981770885820,1634090874124802886,7125507583066188225,3969260057110094888,1636352491302745115,8682243892254686910,3633322472123990058,1018008579598221790,588250548313496635,1176518912830132270,487758624928270185,9755320243916333940,1340800035635018135,147279654378805382,2945637708203798440,11736688712785845120,1409556672923353816,7506475929998751240,103899930465305130,3117045146298849900,1552460775960645075,1680054926754109251,5013946849563749800,3881785691978799171,1334239211831372903,554812740587545370,5548211515418554220,2588535660452535640,6684640980704338665,526724409362944010,2106929586222873400,3518406744230034852,1779642906508726610,1215518434293037730,7722783189353848679,3251113871826673680,888049571065200562,4126759708299591825,1841457961696309554,5496507508133220690,7825627056200845725,403676566065794385,4320827806833373440,1704031175841543468,1410011371495570194,2915387443932011650,7632108941497031646,1503184763223665000,1543597755653010603,1639957307137244727,1963878911107383140,11148407950996804068,7993381599442206360,120450388097455632,1204522174150045920,4186747576230592380,1372922295791904672,459653855176806680,10342368852206063220,4617179701674890682,1846610311743740060,3896849706774998532,1377758883182387755,2027243201407437208,91489120026835337,2744715314451610950,7690003214646837465,499413017376885950,5028621300334584414,602275348059284795,3441625739405815000,2470554885037242280,11433121401794329000,7130299035806894654,1619739174969723038,3928633319793907470,1570217850507051991,769378411399011445,1056894003386739066,4294070602267858398,5782865475486382725,4829825531876197356,2330977152438939330,197085328152295765,1576706616880576120,1245939025751581140,10011429227820603288,6286867154542664935,4786978822667493375,1203162774197847636,2420229131093999435,415088101069541052,2767296136727930800,3357879548178300912,3087917665674487035,5984429812521800625,1404388060890643036,191560248255543300,511749385787430418,1798007313931989718,2764543495483561700,816398332784069034,5307555681054435525,2623891104049411296,9480610082067009102,4309259318464171425,1275414649738354060,4585801972821116805,1038452525146504143,424472592979118424,8489581254500215200,6081821767784227192,775787841802004550,3352353559668066408,2427424242972908588,3264276429416857395,1839626952938873504,5382521344466272050,669690986715729195,55858940539098866,558597924755561500,5445429444567458289,5347383708956570125,732593173338431344,4106303491937610696,1415278614930920460,2529743159661215659,585984297568615320,3808349885689425357,3212706955969154409,2983140481150212160,3262383936102997392,12108911200352613920,381166899762908302,245195287081112959,7121669814449692515,1270211226164381798,9693860689853313345,4839014619909091704,1421967181160695596,7466603097567134720,7204171492022710765,1306414737598237280,4815570553585880727,6623098827412255806,5364914742042693500,5349102066324271234,4988494901819274000,88014015738045072,330057602133818220,8801670550596696000,4142635819380963768,1949990723997900150,4621923076550425744,793964977046769607,7769799995652480060,5285116161937871716,7921145244879137975,7128295619863898168,1207984472494432910,5280151977380366275,1777033117828874256,5636385357509264370,6522585826672834290,5415385403264605704,5029532586203342525,3235405279936450068,1223720073213141105,3780332618531664040,2743660950630110388,1675530493298518250,488196453178433545,4882039235839928750,1311257741732625664,4849531735134318687,1209968800331182455,3274106680682881253,6769231798604580300,488770730222602784,7038719451258423561,3520718575950268830,411496780520396116,3086273109392972850,948771402570506382,9004088507216283234,444327687542936385,493704991883740830,4839288312945352890,5864232791547839555,565114820525878698,4709362314979214250,1108286125978383685,6661073431446870720,2257908381241724708,11849014009569583026,9181462913427442050,684955015633820106,802310351418680000,2005806621552979360,165794301135992442,2210624568345590800,2697661059670934605,408214445717372665,6058899805311820384,6467648493885953612,8345458744438164075,8643422990419275915,6456646614803240875,8929500980934149301,3355796540932915569,6052777550992140800,467356974579818119,8090027452636196880,1639509744141465768,1272021266787268072,11130356862540888350,2807908487373442089,4183767820416602100,1448252999024842692,4505770073934156894,107522246327414750,1075238967397304060,387556554147377075,1099520215335143056,508811494110510437,694697366059004245,7939520373400966480,4828139627023428075,3379514056837668603,5146823232852335856,11029294624253205195,4904021626388875912,5703171355420408775,7136953984709829320,968420008983872632,10945232682382909800,2253809826021426036,1289481878788907790,2915123180923883394,7002603339283072625,2095463806563859770,1657087310294178440,1650807682131653745,9224037367430478066,402410796241414821,3485903252528231000,317833044660659268,6059334302413747700,705707355425345204,201397244585446858,1007001707881442950,706268612715445136,7062794747416626400,2040532187929122380,551172307089241885,5511807854154487250,5205646121030225710,3857784951977262990,2876517788636272914,5077104538425698500,7320654637234941765,474814919717710032,9942541235673283510,7137657075349573216,5420740418081299035,1031118275768286615,981447340540044456,4822451458813816635,8786688117778734088,998875757650529084,28729062618668650,328337199803956960,410427819736445000,6207348582503634864,5511785231633592280,4152656738266763480,3168575089739061296,4425063846897016470,3985795222411248441,3271264359022611266,2754111977017983370,3188079782575083102,1225585552116140270,604769743579117323,4217241075429729708,1112301063067185120,1703870246228495373,6173494001231224005,1810432918762458354,1041004218908412597,1266954874731059940,4223248024914230520,4560723903305795760,4712130649742453980,5503281490224582525,1018078292005285800,1344920241827716134,513034353392997950,7202868536553595352,4075993954903892610,669057718341295150,6690680397035183900,433462849061968880,3715453172610294720,10777471893029547693,1279702336017953020,9205481692813724082,356950650677659815,2154080585583925272,5098271215146708753,1868138358312808770,11084973328497674259,3962039404696290930,4823359286747947221,6544425342846671826,7326451227854043040,4989773355884797530,8275266204916191650,1562487299164769081,4456074846868026697,12326984729983040175,1119929918290506498,1608872477036391000,2073757792521107514,2254935483566674704,3359903012976852380,216073535897397465,6482306238308286750,4321421179597166848,1214731883327719011,3589089109385114400,4639357072080857412,788699236489432525,11041959989475880990,5477261019964969487,1161562538135061790,9724949397604539732,6078988488287456675,3975954356124352584,9829231364850651048,9722357336193721765,3369757326525745716,3091976714749741175,8302126304678144939,990555434864875115,1260318515901742500,11878058975627615416,4556687798012207850,581824192033930293,819836961406830087,3199924144483804785,4015677070709011272,251363766738639780,837892190101313880,10140509440409671881,10155910506126824320,2061332140167183338,1851554483795802360,4258724429592808767,6916677176421183056,1882420829155199850,5883768473068945828,8265878582432784420,1777874615277201168,10004863545739047582,7820545224592983610,7036554891352246572,122735023005969630,1841053864683257190,9095185954297585896,8213505379643730600,1422105791419544704,1109012969947826750,2205103982557018636,3074489718680902182,371163043541419755,4948917281769565240,4225628673808124310,2626187794954205902,3760887224638604502,5914286220932859910,913250016661556600,6849481321665547500,11309783863701275152,800900611246148532,8044516110784720440,141545391012487872,2830951725872428800,2044005942736741180,3014718506002048152,6076128737269520440,344070764593251465,743471206300038580,6372709211612315280,2469535322251401496,10546874958385943775,94558861466258718,2836809867666496500,2786456990471596316,5335639527400852788,5556798628994915310,1847866513547412690,8116245122060612475,2041169144863510185,133658885965900486,9356267286712591700,151209490816343136,1512118388808292800,6820375179497539192,1496192844237363880,607586238402595005,2860413265691258616,479971576977782960,5124532632293638473,3896968166932856676,1491435161762404115,12571270872773290128,1406056436928754110,2868774800990573488,750225294015898554,7495104218032576575,3311834729385024596,13922639952663375225,914272045744142542,1235222900404419248,675510142483738765,495493211967246108,4129174297917388500,9513871580439880536,4212971618937754955,339100731079502700,847765011540597150,136223430596773175,2724510986817659900,2206863899212906336,9812099052418976865,2676026449653059136,2312078417544557900,3099534797829136708,9674856193276761534,738891403754245630,6433629970231258632,2845823298073004280,2811836313493670196,3552073333642699060,3437283968756320800,6715250640277660558,2499717706087306250,6541546425241421624,1502047957476910506,15315742196884845,17017756303530930,510540638927548500,98914789564235517,659442200113198180,3256706672519666930,11370347007566869197,4755943191915689475,5835497652298608875,4971297272712516132,1549898012793577915,4298728584184064037,7191287407843006400,3089588188278313656,283929570589128954,4680683627676744220,52578046623838107,876314435049013250,333636373933290876,5004623619186154740,13311782764331896000,9696368513353985358,2273410929098191450,10807748711426853472,154670583483774192,10827109674808375200,1769771779432055052,7598750294961421820,3353930245074912856,37289270861699885,2237391150812758500,2339234397792231084,3357370224773082420,2347166103022269308,2577047537433288801,1451063748837811350,3743807791371078535,3235060642460122440,5634825293333036384,2186794836163339416,2440599619235443280,6552336621096437106,4507493715213325100,5990734691389245915,14820327024617578833,5750936366742095100,7124278797540151702,1103795961482847850,6307503987766567760,5169600940241930647,4934556415088716710,1845245821886461040,1050850480530296430,325143362200319516,1625742206758698980,3677326633207530705,5096575118100257361,5869436845725514845,1510830031647758967,529874849458636227,6055807197785713200,5330437525234591968,532232056663020675,933431488818921981,2882081691278005318,9421705285070770710,445735215635085702,5581864938425624450,2281202298532212788,9679108907447462798,462692356442074100,7714428578449309044,2325993552743020550,11242438626794090828,6147072905445921666,441762391434734240,1076173894455691754,2580175892883894655,2755196444969756384,614240930628782388,1023750901779723300,1486293479007294594,1809572867197477340,5910589265764628940,747495589929155538,4983381925563711800,6853524621276239541,7447663087734229680,8589221686260924345,2376463257848602990,1107736720123314810,1225734731651320779,79899056943743195,3196012321457002360,3915703991034745248,8122533802833268350,670028271190105784,3788076605053725,37881359383545990,1894097638094269500,2227399325780609450,1112041319158483454,3275846803973517690,3563459296666117496,1102654413417623970,498803509031317845,13160193882601181792,8438182780544786490,691083144924978202,897789393183213664,1145718714898430670,713656841166218391,449873421179760710,5776744455102726390,4569435726244836642,557004358810197585,184903748630416487,1063402228813365570,804046779572649672,3015222710818448070,77725543737990600,194316907165914420,2441120989403050875,6242454532616016414,2977248301775020832,3397802497044986610,3450061765255409232,5810728684175373660,5296373401497652100,3072217232068044226,2805869975440508865,10118375576149263759,8617912588235157040,3695223976255625570,1402897888866342672,1301518133384850160,4744545465090709011,1528364403200395670,1904813805722491692,3486505209962090565,9523492495676839680,4102868542740626665,9095463897798670380,960378587085308679,2134208159200320420,3814815568073233500,8042064549042201246,113449929265242250,453806846563018040,1192794276659466138,6621776087733797445,1096202216721252445,4628424246904775900,4465522727795346425,1701494837036632935,1959741599383346085,7570021974850872405,421672144811046075,7590217924212665490,207089349011005785,4141852097657005500,1056211619493437640,439441887933897715,7338843622243707756,445824080078409414,7784867448689474570,1082695260238724782,3152984544034015480,1189895569581409416,1680763684456814967,971597485686388625,269974131959235177,5132530295483413375,2028579454155311676,5226140192908206231,5507905439566466545,5875139633889560190,109795256300126505,731979895876156660,1878197622217970508,13112012054038135185,4724054158933132104,286600728851629935,2866052410539453390,1185689429716513545,1133919167406057160,11339370228948471920,7065477567071150580,4623429464247503024,10614815362136206858,401973065030149580,5024742458550019150,40890960928107420,545221401293017120,2726149954313669600,239894233360408600,5997450329377891400,1387669533999201375,6608519323518919254,1940873354212947208,10675530623058575400,13010633390482109192,8378524400430890615,1254226994887087415,5840606153749697673,11530849022750436470,8432010397506588258,3959813892285648180,4731340401315070101,5624836122269588088,2004225608722241940,11662858779356859109,1592497846553491135,7704001943045275419,1693899035820187245,415456163522581610,402875526190841727,2039669598798403320,808338799158260448,7073076089373699720,515622861372001950,3437539985389232520,4938737723547998475,356958891513199286,1762770906267179184,2644112673520304225,264201887113710191,2901995489946480015,10397560667496100280,8915792543952170191,1013391117793830855,765577086081357888,7655891747095958400,793462141743381870,11902120082729810550,12001636632499944360,14422937823676260414,3803202567323115140,5665291160289121525,3841453498509560652,9715851953999596215,2234901746964945396,5245016597046560460,4754347596512001816,8563268084425404532,4562989913204007075,266248101186875466,2218769242283793750,3261119675593022274,1637411341522730788,5943347261107967520,2911385100815443472,2308066524399832880,5952057467354679416,10337829182686362084,2751117980712628160,98481802206475728,2784005174944680786,1565053837695509088,3209456237061911760,4340615073610862466,240926435265585348,3174145099513030944,4485416476874913888,1207946452784415384,4632974597244274596,1610829485147623572,3195638088021895840,927593981885699766,1554951483092959728,508194396351288680,1754430620827817460,905777852581514850,3090360973825574390,291609618031913076,2368561597534314432,1026848087683561136,2695308689582474610,5266173112206901248,3984154824098241056,247460119190979858,892441202008249476,3242131518170049792,6045856265870437680,4422122664284310174,1849417214947539728,1414931508434018040,249399852678818352,5136328083804965802,2073973669992974988,257342951420418336,3809793327079588856,93494237605885116,2804937289308259560,2874909769548603584,239944184672540520,479907219260672760,442198027577276026,2526945132993591840,1822996618703863296,1990747253681770736,3209221327511431386,1048958442190101888,4570130088020498364,2385107633839237062,93783949194929400,1875752686669752000,1885396293094848912,869887750819597464,1152759738218965232,348586063928151552,3112686600099431616,3036573938471564700,322087503708450906,1025712702511956624,1167973709433448464,4571559001576933650,1359586140746539032,93695450272358200,1204703146934739000,1984246959150548622,2077650983109354456,4082280869846334852,3779124555038452224,2641104999671590352,3549417617610697602,2963748652795321488,5252884398933029064,3339961411328419392,552508425810770940,2993185696688352228,844855027077417984,557715976665267294,715356935940004428,4117916118275154624,1617713880429221712,4594327877550876850,3717948798595671408,1744696377183649104,1971328073015921920,1662500530065647970,239684172761981496,2082743209673408256,3236805095038327092,4457407333642650624,596322508016440128,675435700225407960,6057080879683092336,1886623376154122646,1310901900997934574,1033598956366644096,3376336818781689696,761466184055102520,333681938435387112,1249082566425031904,3692818111580250624,68716542079968552,1717981178677488200,135155751321183120,450536907283865400,1307913575309191212,580296168469000392,1129987620898042176,2633507667602759680,2074548522787492104,3940226552875146822,2768986093645312704,725948642753238432,237505002829625610,679269422280972468,22995051539576040,229959572033757600,3449529440243181000,2199561009836926950,1309903254893048832,1680701644173780048,865195640102497440,2238155285595690168,2693505270840216800,3259665941526344160,820831410191769372,219633894185424432,2196425478723396480,422365354225098192,150396023603524508,146158013614633308,311168213360711496,2149703997765074064,939630690875159850,2085039609690611904,918705464180280416,1038321170546327712,3941856339024911382,1525720136007846840,2009244889720995552,5056639956671720448,832091163941738776,170216588272667928,2127791233550605200,539752066153807224,3965219655870978252,659638088698515912,580777154647413856,3354296213637268416,1649728493830623150,4072055977508150492,763016493450341376,417633952334059740,595348078426492128,938137616731851534,2453087701080791856,10878774309150176,108792033922024440,1224847919907307674,33200455551321856,284586558765027840,948659283567859200,2659025441331255856,1058987452984782984,2681278275490705080,5433208760656954782,4185829430282294676,540616484668552512,3233682774750408180,2434880472449440554,628204957167945840,421031548731900624,2607949938969523008,2277624624599956590,1066877264818174264,2294561151291515232,590642623163791536,1395409847190366336,2566109737000722726,1042955391153301056,5611273274664417096,1010830334338626426,2657187308215730844,2426981088930944896,522888942769736160,3921821902016724600,825478974226660708,313630516702116768,448061286342785280,397713882555657668,4022187823558963170,2715105020012626032,2061705794455050912,1560507932324232024,937219981959081870,2052664675880792832,1467835172947004448,532188916403483700,2475143896508394456,122142033221565024,3053671450876549800,3304510931213099240,1926094652376856104,344425027306240692,492055192235578560,770732134259103690,1077514068727392192,2169672161575105040,1266872088270452040,2453464413686140470,558324189550237992,235599268145357424,336583683712783680,641337330418362072,2263690477773961776,314631116886883968,2205437664681854376,1078182442700898840,5865159565618209306,1540897725388201808,1782654102545555520,2211420893692649616,2509603006244539590,125696676280099104,1885524684828546960,1063993315220176782,157034053246816152,1658657890122053184,86153759418413112,2584714982059687860,1018884495802733952,184641689580896704,1207875019951916220,1853774216249725770,1794454236770055780,2374848124661989944,2967455562493703040,480707763238301972,103336966136478798,2066821073046272160,70819370352280840,3186997731966575700,394651683155491110,1267182104101330456,1189313731090430352,1236453696943680096,220425819511701870,1763476327313936640,2213792942302770696,2170862210449556560,995852829591592176,2215915512171397140,2371246139421147968,5269460637533933376,1340145174920571306,3362259808897646976,973213821455176620,3088778754926844936,1114703335856014578,911496774844062900,2469925763095033728,2861753860907216512,1484425091302441470,1422066729565327680,570558267246009360,1834404357380669736,1962666330117993984,1028459101417832864,3014915390254009440,2843598462564355620,1806848175098243776,1894331385291587832,509818528028024388,3965412248530484780,1824009304048133976,5288762913193982784,1861974007766209696,3346854786253639584,575077617921706320,4205354872166376192,575004455627598144,1145305422736621632,787774623865483056,4409736511395202596,152203370213521872,467673109226848704,578145100372907796,2804577319849605840,719577197179525520,509543418588941772,134133570686504862,4024166576242020840,2602092816086888208,1203330035183708280,2200510281718345376,17258012948295936,345173938656641280,359085331219688308,347456567650230900,1111171731743457648,859542975131764800,1180060529034408516,4393679494603612458,498533391159402848,1125533692786703736,158746430913589212,1100933764171628460,1206902152970417376,564954341620909824,89877428501772472,449404961530877880,3131144303630719488,3464447144825764020,1136703796911902982,256152663347335416,4079083213167597216,622932918398845344,1515656129873391504,2215874148409800660,1092624643112297760,4756641524261634924,2555113198565162136,1155493710940504230,1034740539963945936,3206871539199815184,4445589744007682544,584539693650098676,1206799545024034432,980176407981703632,126876753242436624,951613406736880440,3912989123644428816,1933474417757194752,363730497127265754,645898382920059390,398834616796882848,1250567266006058544,2719474771923037212,4161824988088037490,2585193614831235840,1513766578987384032,2891727446749592400,1532529427150946960,1092777654270246912,3355967047882086180,1099281575948020652,18577714908461388,1486276198071711360,1464894504515629728,357249128458305864,416586960950396388,28341521684979928,2267411766632055360,94591693179848592,2348828139967693362,554910308013641892,69099481871983728,29835294489804670,179018876661035940,4177273027803489600,973350520152123264,353987915974792110,205314221522699766,456271949475036560,677139812966967552,1409825256846369594,4504610597933109944,1872271110827204472,5568439298526428436,18964122401633702,379297517909395320,2102761403473441248,3670941308846793664,2855486098455960528,2584898205026271312,2048165297050121312,1470213730194318912,1866562854512686512,4422645199447117984,173169173928661056,2164700708841225600,215321018976633636,576526611445061292,1375763099105691240,67787934633390656,593168007113356920,969429044174718636,976138725270968512,765490181679970128,3581719435904546970,4950682901046942930,118136865763537632,393805210409843760,5013602244853126224,834146407861514478,722327056723532412,1747496077207236640,386434389777163740,4508580513250529100,795865553631389016,1188619665432793704,906601467215494056,2908488668325732268,111888115570800504,372975220858075680,1192333446589456280,1647724461770068668,1768389434251437312,1209909207506090832,5792852075622206364,1549551261985128396,1569318901198284324,1276166553998322384,1076529525332742144,4613743410647003906,3292761086097910848,2048386990992130260,1944022056016702698,1499322239576593110,503560591738909584,915167054097499984,4096926996535258344,431354994501852564,577770940776501024,2761073370586617480,135436664507061960,2437957005649215120,2592220696381035408,1787293583211272832,230864066068249212,1237963225804722810,2903621262128399736,179111886378918528,255884311421354880,1492430368380598242,494045868518508444,1907244817206803424,1326058929449528724,3116182364970787014,2296762819420358016,4255514582867868288,4573544014075170438,540585616865837796,3844971233648563464,1108363056111323760,926657528272778052,1186651484046601944,2241820484627992016,2262854945780182560,2402939523925129608,4536705950642552080,1020818362943711088,1304535751285177152,510764156528252352,881757720403832718,1695466297077642144,1016819026681073104,1618778437213853268,3173158211977321170,312005686466144264,737417349373059072,2339128757927049660,4407249523137171552,22713710837402496,227146161497228160,3975216267413322400,524536705757340144,3351647126320568712,851289928935331800,426432464599027860,1482809095902584286,1627750509417119232,648433976022802692,2034033746541942474,305739813153975304,913205474698994928,436367455318588896,623578390050234784,820279610836905222,223068794022406728,331053036939537384,1670656217322878352,183907583737457616,1226099456260087680,1556322056507729760,2868415440563519808,285509160711873340,352693037021322816,3023203762563716160,654678829962456738,581377761640667010,3318581086257847452,4259787130800613888,575462161822651104,1222202818538359920,1512066904935367008,2352256237965068820,5444685041806351044,3231607646455425744,3945594375260725572,125058296882895792,3931473895824303402,208890946308098424,710895347271590976,655424350451169720,403313772771560934,1175284934132517180,2543724398719592984,1316740194375827760,1005409928761339152,1620490668363659664,3235783013924900160,1608945366000169656,4909689368373750992,1245091833772556328,85191446823753744,1490909842801300880,123308950221232644,4932554950061106720,3900168212191726464,2359130408449180128,1335982061529956148,1588436555108540004,467806118302974276,4864392380412473472,4042618024038992566,2321507562998530212,3062567958329858832,2486933254578544884,4311980666881452,172486116198332640,3018627608876560800,1040490609880559904,1063413211948022988,667390227134566250,2371706701568027136,3958241422370454996,269955242641754344,4618723984086645006,1164242244333200796,3444997462296653440,1160936123519170152,2226408025415467104,45040080666934144,1351256417177857920,1089405851667785892,3046980223912398144,211439060394206904,392494035402525096,1308365743076254620,219333045010205484,856135910826843696,2663507985121784020,2471227883009406330,875814451057065168,3638973924910376676,1181842039370494080,1155460859110801836,1994345646088972150,4287133304519209920,1574384600686446684,2068145885828036810,4781586949802952450,2459164467474734448,2489271225738845376,39655326723317316,594853688620074060,660974975680713600,2747153472808829364,3762574133062261680,5022286195435709976,159464454616785024,4784124989398164480,4311513578685677994,3223625033658212040,912813192513264864,1880458027455548772,64855865549694888,162146150501186340,2153137448678636664,1275817523994263328,1274617311674407812,406119813719480176,2592680788159346304,2855098690908471792,3664955607919666104,5200194640977363672,741898700597298816,1595657975181083776,2660996659276450650,2892391530478594308,6047883969878119104,3476223671116993692,502041317789429064,3381564610553696868,931227411787480728,2744989967567124288,3324024419010971780,1693133747022803448,165633315634983936,136474180833734604,6057388804031801694,3532710915186198522,1225628744241113736,4613865776019484992,2917794869905280688,1315516286681343390,3468817310200245696,784151312853114612,1713144604045556792,655087658956435320,3709184953552037496,5811825686362932528,1603498082535107514,428925886902414108,204875451711791376,4097673161650460880,1799877687700791798,3234264719940608508,467050775232611448,3102095870202599424,2269498572881920814,2364647886467011980,2301228497077353792,428351313344238688,258347487510388248,4521262183253269860,1134694237110379780,575922563800661592,3208558954391840016,1499735561228064654,151223897495908512,508296294691031232,1156302307294264436,961588336217808336,1955874555894456792,4401237555110504736,247194140801745708,824013497470822920,1968591406975599720,653441090793655032,1487657521748863692,217648480665178156,2767574811048318516,1956427621588728480,364039286850521622,1213512941981620260,5220527960606636880,2307260149958942136,3875763613308468912,2058667701749583912,5618127400833214476,32795771393910528,327970865966816160,2869860165731861400,2534824785995227680,782405212896078432,854215317228924522,148316307310563624,337738526205457356,1447508886380623920,3323559433408629180,1625472982624252344,2982372846255068800,2084844862432914120,43390339362962820,173568320629330320,522872846044584372,711505628056582272,178930450990989500,603057568708004382,622878962476169472,2037727514439699936,2195701515975997128,1266023790865509252,688796893857230048,167194674074296296,284286155942456208,134817786643717104,4718811918914432640,1983615679406544624,507057594273773410,640305584060605788,2127662947511269560,729150307582608384,1956490109927316846,641350705293089946,666328988695307592,554699830481093136,2770428405871256472,4069889340832774836,1605408543428869332,1474812815214855384,280362793974065030,1682244311643050580,316697468439635712,3167101862278610880,2506600812668072868,55706856840004440,334254564609702240,839443555223504928,181139228649533376,1207643360871701760,1686128538113024544,2600019887420966112,1414734113555823468,2191745324682615504,3700094134228009128,1218493616533036448,2673325372642197720,1450135104935158494,2660428426213037824,3580027875652714524,1510891262955496530,861188570453326730,2993394627091711152,3824254633753857408,598585179953477178,2556206017648625304,722427891235949184,832032168995664336,689981925435444072,4508180006306248062,920968544153864060,3161629796126871552,1382314875891477456,4725021764656079488,1971896742873233664,440534757706689492,3146803334805165300,71553579985699812,2862258262647376320,807795226279295360,628716436043590116,361891086190611132,141644702417557080,127416915175960560,2038752616387655040,3694756417368022832,1335198098106355824,277106264660485584,2052670927517726934,581408483994042186,1740689001134051808,2797174385677749308,1551941426908010970,1816894971358038252,1715055666831468472,1813200056866753920,294351858413315460,480086932989077568,833976630519417408,346554731984591724,4090456640314075032,4982184772780235418,3982137737961886488,372533281690728824,1224963446483635650,2893179479252319792,679248803317810400,1324740474581874408,1432313941442941656,897647693704567470,2409283058144000544,226548615867074592,353221926760979764,2614362929135136144,759190904241611400,883039197044861768,2130914784576240432,556783212736904844,1389114462504768296,6094682086710164904,3522569719059956334,1094969094717641682,1026597778871038848,953412558280012296,1566142543298841664,864162078146722020,844179059811227328,121827266347332672,947583557371148040,5255572005991001712,1193151169050096608,1760205189560256648,2810481683137985340,275408109947593008,3672256015765474560,2452210809123894048,5419857270529323630,1784478375853269168,2232537935148208128,9867723109750144,222032712971861280,2220416566113556800,2630164320795046924,814709928023552880,4369046583686970234,5310102364710992352,1449643271214318048,964133957078633460,4760402286877251042,1049211218959036092,364548382393806756,317096015351979600,1143928062045429408,4093424815147061856,703443717742657584,1766240010148467588,3014413397110712478,846771118072735408,4608976329379792044,475602631980621696,1140401646332208056,361970542632317112,1206617108425360320,1805190197070689792,2611722163525929312,2841262205536541952,2742991090115299640,4809107574344769984,1285411312927463004,97341019311509644,550997234001855936,2644641451836495216,659612557259795292,506054778317268564,348616166183785896,693936070738074112,4741390516194103464,1961430313008865464,16541549352155832,1488799479489939720,1289118677515451580,2901359542529105844,1292124935878133088,1408272664606706112,727443813593570896,291000244179714300,58257308928545856,1165193178051488960,1431238375378339488,580072102605575484,425686058023405408,731431795143139776,1151182940341784070,2226746821706597808,1135148281079438376,1453528339928415900,449766132041917328,2980245783146355318,456601533823815072,3913885362103952640,1405454918201135892,492094239714176028,2548095308984029504,875283470303101560,122094507501140256,2441988704866304640,3080983197610626624,2180033336023841232,2602339144515814704,456856183324695396,1497113453927032512,2226633453050184180,2637136425062239254,271676602738981710,3715818526056151032,3597168582030410784,2007721870181962920,4153824390352801520,1189454214255519168,1411419771486907968,1096876234166725188,159459198075700650,587468598502177584,1118835490999102464,4886634668243823726,685675172504293842,2806304865454212760,49117394834891496,654925048079015520,1905197958279153824,1695992134680601704,84250945563347376,2246782632920210880,19363101248498448,580916503049218560,268449202941218668,3510980551779531084,1265728361484615060,3455618437693252384,120314526455484864,2516342122137809790,266422940156902812,2528746050730881696,44055801536632728,1542015360986164820,616604946040428084,655242555894406296,951702730061642592,2788977370548688380,3384599343946048890,935194398214501984,2848446793700833248,3822094816261170708,4466427333085016816,4767062744183096196,4057729280015705856,678877735740631544,1482249903595408440,1140163218401887008,911776873935852192,1246420310578685298,2657430505416431472,587484828907906600,405711961531389072,3910938971543405604,1915179452456634738,52158142287906048,1304006283969024600,4553674993888622262,1236950448528080784,578804585157918144,227319298057894880,909313965379130160,2391166569204588252,1225076053914769152,3109778930445637824,2489048850184312734,5302418151482637456,1277109269086279536,3110263287934777728,1913476627575506550,1608376064286846450,2474535171317311296,3712053893098566120,1155266962957868904,1502714398066784856,2405640750706287864,569271996781551552,578683905369369996,501644883066861976,552821053243200408,3094211333409639780,3464902724066316792,1472896733841020952,934829160682622112,1629012144515000168,1559024299303072098,858521309063698434,2099758621878934144,2707418188860544224,577906554948626652,1328527550749760832,2058891790657408704,2811515562616314528,1426837626217759512,1637133281938311084,544758316225091496,535031275559631908,437558039419700562,986812627887108864,481869083916714832,1821768420618882864,1371220503746039496,538423813452708174,2735401017640776576,1988069876951305500,2329493076998067950,3572173203741861312,1768014888477243672,2935384525474634464,1365210890137720260,506327418699619122,886331360994614448,363598872421982160,24919257247642914,996810665529674320,2310198523384855464,3046683422205975960,2302615798480733296,548684310465129888,2007863059954935744,741167862746511944,966557704118640150,1056131273387620224,1088168203391621964,914155279091049600,440090949581718378,1295142010357007288,889730104492702944,1162107795313662120,864078902451712056,467183762538614946,519114106739432520,1357049381239369960,605576914358892942,2596610519144117064,992286374935466592,1598489411565159216,2888575667079187140,2385477880033480416,339550520365841664,1166671772288216064,1878780567342701088,2044053296503687476,3397288587462355992,5708894481982238112,86998983865408332,580016741573993040,87096107448936624,870996389665325760,1081268408406111264,5186227728454782064,915205124484092736,355697808608235456,3858080172600081232,601940088630351648,1958045801354961120,1594341451362602560,2341037763233335650,460724930863688424,2700071189531263856,1695826042109144100,1154173695816077112,1273217345943513192,50944189082033016,145560730603446720,192346299463475184,1202213142164486700,2050879889913671376,572225347267917880,3084151117946352846,1460103262847124864,2920964669977924136,653027002971156000,1360588208267546622,1607047352482363968,857026760014212912,546149312816909616,606857196317896560,871056924392508384,781935439463224848,599060243771527848,1784349369562058460,284795105657334660,1898711101803929600,3125844615768623568,1397116607756387430,4087061594880543132,4250514324172291956,992605717256800128,287102076726019194,638030516382841320,744301052848783872,397697745023564040,579389254163309928,157178099714094624,1300401400941265728,1729727106708146304,48133038992977938,3850799482845788960,5266117222894546272,1065778835478077520,120310162765064594,1375029128944287840,1854622022640008688,2443883766373813248,3003680512150061370,2207446316256069432,308545290089519120,1194752236833930672,1867525013386041894,5262503055500489796,1033101614189450160,3936115028171456352,855977737382494744,220116673946667726,244584018541352640,2311356441265065964,1442888826146023212,3467936532606810264,687262911313592720,5353747624577130624,1375718068319389704,5559774666851807676,534184738760519712,2826035118835689012,2549121700934688750,319408070912463636,185977466778348432,2243325540560806640,1012423721074539312,1242637154582346702,3683394873442532640,1974330457014328992,1403221758447040488,3987071741575000332,2639245060898757828,983929612331646144,1549795289230305784,690497047404197220,1886979109046224176,2570765458798260416,661365595422660834,115545172340146584,2022122732905052680,193972735487719296,3233010382533777600,333905857124549058,406926987861650496,3231616775911657560,3985923414054677634,1533121609307581824,3527822238288102216,191962495170325024,507082781135860308,2915503336397789298,3800017627005460080,2729799288474304608,4202553581972368506,3016798600617860688,283969906912523232,24096704575513416,309827376870772860,2754133168931812800,1232833101228588672,3579844578477052928,1341494553527621808,1844982534722594736,2062636348363063952,1467283447012862976,4095986887717682256,465733665275171102,833121955264819968,3788986854200277240,5941391211886039668,2156309771515410618,1651016710091114424,4416246728214913144,3265897487140990140,1519204697134544574,1369792617715850880,4329061130548437948,4749324078064015548,1636166163232711110,1331322608480790888,1752416610596147232,4261984100664103968,2638178142516111846,1162696849521957000,1017689972744092260,5586944696280753624,3293843714900158464,2690703493155236540,3436817019590344896,205725547722949056,4114678498486736640,190928621014426416,494269495365701088,2092319871531343668,2424959349105641544,1204727469291465192,477609277142418080,3180836139478971264,3128116147892499618,3224151421650044880,314261146797534288,311512952536129752,425871849194642004,5853095527467348,39022226418710880,1365833563426092600,4282949379635413728,398047263686886528,3524738573242023200,315757333835350608,488155838215410828,211062344809913256,2777846646112728192,2286099462824506296,300172319432967432,500307585475647840,273626918331335496,3192444139620993460,2488304500959187488,1663222410550207296,3235429915594566120,669694911189666894,1490000916509245404,2148671325394030368,116740430718098220,3502355675458412700,2792198221706096720,3280811998017143880,553857915031204032,3861350509916870712,77405870868914376,1161135398303166240,981307074081837660,3926123578757920716,439930136629658256,1564328573698191312,1834480942946412600,749293637696578620,2699994523538430530,3940953059961520992,250839859479662016,4362311777647268944,3431255900818027926,4535147868303417792,780903817067842688,1068369804370990152,2718576463912940070,946859759741643376,959017036374064512,4861114472090446956,436906362271253926,796164293641984176,2140721728407160920,25766830100968896,2319109312501157760,3590351874194608512,1158753856466491440,1135976124018592692,474464291110375392,2927660020765625904,2490262443094755072,2747947019220469320,3703944940932461806,2595038805158584896,1216269185041043208,3542815530803473470,842197372503656994,1808793712205803872,395568066856335384,4261895910464191398,1641061476055047696,1107345264235615360,2271766376909178672,1639742488525404,32796188381734320,327975270853550400,2186591058758016000,3973406833385165264,2120298043708462968,4064369252704768656,2300463658390927272,567330145680897420,706321031234635842,2015703650771900052,1309712258353436064,2167361860581912060,219941306174687124,114370651254651120,1372503857349738960,313090660525627884,868537246343427936,187615048429416552,268032443329978880,1098062511324429636,1034121688159318956,985702756199824680,550376828578047216,1059815443421811996,2275035914758944134,407617367941570776,1045973352832752720,1786275965522037682,2938185324368753634,2575160359111520640,82164806475858472,1232522447711842260,3880460156763053430,2270493289911882992,1400288316787710624,603339261316866786,2075702423880357624,1231369663721278464,1875785407111744128,423365658976068716,5427544619010692880,1154252307207491316,2335902541278082880,602716571722607328,337863660710483568,2534081017276770240,4004295434146140840,2453145612821549118,1183798572410570964,2056712566384936152,756128375178468960,447622318328290480,367710201744357756,2494294439302939968,599905856842636500,1843180502990839992,1581462461941984944,872268388325236308,1069095980549113968,3278612028422758518,169513968329770900,951415890163259136,5827536818255504052,69590385758417046,5567458510221873120,4980316881817239084,4408619902369883008,1055924481794262252,296596541068049358,710421125156285664,1416401160165045612,1798624449426649152,1572872891642544436,221882716547846424,397392563381242536,2068052831567334050,575651594060673090,416648171707312608,1785708066387760560,1529444068446722688,3712087610285468238,3380153523102257880,3886340738883140736,465794967601280142,1996345821419090220,486552603442239312,1773686598643515384,638907143908763592,2114486810694367164,5394199218524705472,2641848503486593088,1356595564057058556,986497758948620592,2627879413925289216,1737546048026824416,475804839019291068,679749017747578280,1532548716537562608,1606192456440811680,4309692458914941744,1590263268567018552,2469320411236398000,2205156317453845360,4704600816255992922,236960899265881362,1615567096325814044,1183344512931087528,2116033181055085248,1517929072804022166,205085261474184816,4785518693733127560,3347413370365626256,1237130168669452620,3361916460927343704,3141218880401824896,728231284104151014,2013639487828852338,93852626335371968,2111770570511496240,1031853486194302590,1910924892752838624,1987532012732025312,612533226754373976,1229738406323712016,3525941594037164544,1010250262797530112,4394247630033943264,995489436985017012,695798700058868544,4281842865460409312,2139714668320151328,3557090625933717060,4834491241091634794,4343442576872919624,3260040296759938656,2620175441220578868,671056379405889984,499798410693663312,535612731368922824,1793002780152756510,32374977204462900,1295052154641952000,1526227911354950208,2878209028035061128,2562756764617067780,760490366959928088,3320203859936967168,4276119511589111408,2420450227559411586,1201804351035288288,589965338913100704,185375603217737904,425143556234147076,697057891406914928,541239482946982824,3292736979588190704,2718915504228165250,3056335172265520992,237757158623032992,156014214183075732,589720592346578766,655271967913214280,363762244525179696,2489620447200764970,5530164639244498368,2402318882863221080,1032617237160011136,799061059714864230,1517055205974997392,1024005710145728928,2908530965724075384,580709986574072730,615272156866636668,1312293604654311552,841825965231191488,2698459151792535312,932989884309605286,999145289554420768,1763235228171444960,4662510480812781828,2020666904831511414,598169342285667504,1972363690198702836,6048173699703778338,1697570877427419204,2050398282644476236,396872887425251672,2352241522361287260,1717825891516409850,2296307061319812096,104018331393342432,346741998881395680,605493990174486952,496225362811176288,669002482900465056,249852909036345486,703456070895620748,4111299007198869672,822413557615555152,3565938587954108868,434917457632603224,54664681881050648,1093338513007901760,1757813968774190646,530656148930399312,3664775382467274144,380783137380226584,1369194817793848380,536494943482687368,1250551849203014472,2098595233795573248,2107588026264701634,387093093460803708,3522937236623315616,19829643958738812,198304581729744780,3304095733389865896,2466451501032508380,1270837535209881408,2495856935612552832,3564252103948901904,232236473364337248,115509137290489576,4620555246814948320,177080370059378592,442719107545645920,897917339849666976,2831229063904167990,1939989513553646394,122179131324121368,698195143317452640,2185625523565112132,1022711980326960768,2440303951011035112,1934321407858785440,535313528685072504,1007036928241522398,3426964167341223264,4162518364271897448,211505151704585208,1362562028750463496,1802333136245943660,59628852259670880,397542016604118600,3875890682238577884,517682132308114488,1101069869851574252,416255090293523448,1340819134452360708,2246635114066580076,1378774851194231328,3468404361558785112,213264403902479320,2132731695738585600,3394661158453617900,1333057367346642744,1852717299159735888,327405079777095768,1213045124684815488,1368618711687281610,2057123686237986432,2513202588779066544,2403827927442583920,537925895867637144,1610493962642323194,1724368293632612340,4624778748882270336,315303747336633792,788291780641647840,1058105971706628240,655911688237881576,592806767403958092,1080718232700147192,2192804288540230448,4110447528399051648,2336275923495280416,1767990182738567656,1008336226050745632,402370152187837284,3467774280675217520,104978592536707296,787371829702359840,940355484318488048,2749513285246630728,673807930136068380,4465377649719589824,4564138500382039656,500648191554219858,3337791923818712760,2672969658739631460,2221316255554438896,1498525274708713460,863248254056282304,2059079201634226656,236507476990747304,4176307632374657766,329044174993830888,2496798895255515552,4546398979471515840,5872874092816605678,459093575934231568,1147781174687106240,1415659792887144552,2437976476422834904,344647671280157388,1142456070030732672,2721499688914153344,1001603924721490446,2315357826700379580,2536882304517063808,1181004183711064704,535718662378714584,416601803618852562,462909949171582440,2516848680043855488,2426543654225778864,2693754934060898970,353311936941113856,2625340430743037984,541577375508430764,733497849506997816,395177569104406016,1420735643696952000,4046779665234437976,1621315171225777764,543983911792360632,2422664006172861816,3523555812593110000,699633448844670912,1085136725969515212,555416518351582240,782522436117299196,629074560397985940,1867564626000680992,1017879738665799816,102910667026927716,2058298124261225040,107389196988151236,708222231725478528,1323676101016438968,698467682384354430,1354157710131115056,2332592107756055776,215800393925392056,359682142050629640,2150516300258813328,6193094419295973288,400671100953803322,3656407448157571170,3696682940195907840,2699618878302834096,475428548296339168,2810279525492391228,1811857780345547520,178927337559393920,671005169109267300,151397135303969028,73256030117876496,1098885742267052520,304311087532300650,4260530832111229900,967987117514179152,1378429461304345728,3947632746264476472,2382122396392969128,1333779084067366944,4177484279626986504,2859527982812479092,883565915788871568,498879664126525312,4365377036193035520,1880288740208218176,1503635851884382032,1239390097232182080,322541125406174736,1417031179318116616,4612374380753003844,603181465198726392,284331085752202904,2721201889116792312,2822712598968475554,1008274380878591488,2501762397880778508,3447238362799075380,2424239171582158764,3041222120436420060,155500051734960192,1036709771791181280,570600810771974136,2067305246825391864,2393843840233509576,1914533817610409550,1554554687430715530,395548499627810284,565092597278701680,4203704176408722006,2098375155600012036,1168228899980070768,2031763864207002912,92695610042759438,1231961550994362564,1219919146279639872,2934284181695041536,1493692967487516384,376361340650628210,1065546480375929008,1100117679953192784,5263019722082590506,145590813877156264,12097231912989672,120977311946098080,2419646101948655200,1365829003808221920,565606679237266272,3610252658943368232,721265136356638476,713652093547707042,1274500480980310824,679847689766248128,1194622515001803096,97626129419511236,2032067337742605504,746440073656861128,1085313073672286910,3384993896444962242,2507151931985887920,679857095384332048,2372819925499615536,532976685046344252,272264351105474672,1944825670741018200,2491691475253000410,3604778878757240844,681011050851049896,612525556962842688,1491036231820786770,182465718344992344,189595730858464968,900869659277370016,167552858219810556,229877582619854268,1041607158334383072,2316571632771782112,48425080911388632,645694417080920640,673135600140106752,710489872281598488,2766777332071881348,2456027284893042456,2238581025573000912,1069144738784634976,2268992001620889648,4666911156770728698,158055688968713416,268131205615557504,2469612964732073736,2713080734536852988,777449921049698940,2528479602824361552,2388672330651256840,921332323509745860,1978828579211611680,2721868108423896800,4066291017550440288,72132463027329528,1442708886342264640,3205678707233449344,667344568127135712,1283596587341773168,471325385559121056,247272269630525136,1025251649345943156,418280095059698382,5378109254048079720,1294389659039240736,2408351301532388808,3155228203611514800,648734818160239680,2434766225675708232,4075939605753974448,183382514830337952,305650162105074240,320329118192628864,920521274691644328,343656283262952528,134970542137736664,4378679161716871396,922779792511163928,1341582559529617620,4082396743600150624,130875212428037472,2290410940728305220,2621426312911492464,245645914308339360,3526635529488562092,3456137817987920520,783488943089275284,2653026777238945140,396390204021216768,991016503287954480,4251497304985592508,829014075680418912,4714794633935533152,861989454185883948,1864245101031767888,155987688455717652,441085522306356864,377894419401329518,1082378753129870070,385877387660802048,1918227145880982112,1783425418539646992,162987144005832102,2716564810194208600,1073488428122310576,678022829770473036,2034350346970428336,1102644332940437352,148974178518113220,1986404589133764400,3688119781796559384,1724200352869419120,2189132131512481408,1186922990408518134,2967281992530547650,3559461963904253664,2951509022600789340,2266375806114370632,449919188879600190,292452727085976672,3899531124369776640,4689931318079510052,791655975910743516,2969179002343053720,399599684146539624,3638091326410568124,773555626051777692,1203985791287052852,3075789479324061120,647301953851017390,4236305527607751168,2639144208321776160,1182573304521303816,4153161308692589504,219668605468792524,744764803375762248,468986679917175600,1059729782420419890,1334709403667100576,832115127287448144,5286076126244789472,72189890099085582,6497359230497484780,2733466639968003984,1487292517796235720,555845803000023008,694836036846105720,3702102019139796048,963262669500225160,1831797602602146144,883758708733331376,210181905772086668,600544611653508480,96656898570870336,480062575483132092,441177551902062864,208522242061559712,1563981620134953240,2133247496302832310,1266060617071432920,3098988670349697312,543728111474104662,149903953777336014,2998203326814090240,1271878522713268272,544383998298561432,355491554718026886,3235928830575887160,1312261214273783424,73248450281598936,915643581161010300,377183430462325776,272781705481239400,3820889782336426884,4958744868760090572,419472180139702108,4469543973999720000,4466400779530789974,2396272888304316736,1205978330190109056,1609051861239764688,3997522881591153072,1265163926497044336,3545282042683739904,2800031434738891264,1358283559746430458,1462921446367675152,681564308427066944,746329455210030984,609940156283243676,278351929271784232,4648870555169641836,184020912476377584,769557440885425416,3747250421176910976,1269499627984271616,1837535176545258624,883073605047889788,336877483678725528,1443820532579592480,2670879544326633024,334724879289162672,326465463849621234,1801040321439186120,5519104719251787072,346125784280680986,4390542390235960416,1173518516363877108,2166872158862843200,1047985878737902236,1280515205002272102,5556453817596426624,390910661911106532,534963424671724860,3428356235988363526,4218782124948122112,174559788101801376,2309709277625667968,2105192173483715886,2303746489589764920,945080007643769536,531000796785365682,312817096465527456,854647151944942144,2717306275404326208,2115589240315919574,658003240154020856,750059605966777344,417604866951069048,3724110514821912950,873112837980892392,5800553501210759808,1381209391037444704,1037019346415490438,2163617911454899056,918328971955745304,1160090729518606656,5768722151513730384,5193435861456291248,4612392400118367816,187866284016732552,1878740849175283940,4466904788781548586,3527061396473003904,265904377381006848,443192366323710720,167917466933916084,559748135039958480,1475395939827097344,541510236431969256,926963901581468934,1203850495076073264,521565140894333232,3773071741771922238,3266909010282815460,1688373232219732740,3666010291952804736,204568195697105148,2931639851898430740,204199193949266944,1786817173729086240,363270714243911454,5707960471603891616,566407360535700876,3884994058544376624,1762800167680386392,191878535854516896,2467112251216101120,4410252774161100256,402673707186118122,2635412359287209250,343387918889324820,2072649501659360040,3462194753965816470,3389817387437710416,1614854355511559184,1898494296127231572,3128160314167139724,203068411079464116,1425138790943011380,3955412936332281792,169866002918741058,1321234937926699740,1706404288062858432,2454586244659731600,1754468335709061912,11755931025946272,97970164366257600,783793896942566400,4484213176700358108,598523084118485724,139712464482799104,3332157248514016540,612896249888990802,1303113851221570614,2151366142714681932,2374653043267265088,268961300777203452,496924036375609602,778217352237333888,1450906490259073944,3152851365939285836,825506760120137676,2241294106034161620,192157297728996992,229680043172933454,620193126689780724,1814945881533545568,500425402984688280,1348121933681102730,4522145618107547298,2547367806613848192,4660290047315713536,468699053328865104,2343592750240604880,15242031303633984,304853307299512960,153267711395472090,613096350271643880,557280378815405696,4631593232098847448,257107992818432976,964195087266708060,1436705672561441280,4748501865631243356,1584494883084284208,1034260468552585632,195226542769616784,3904693329019933440,2938855703454558216,4561681027077472716,4062716595892846368,1470104187680326176,1868547721069260840,462634412028894300,39029930559480444,1561262198732166720,728147078254866570,1384831081290500532,892829422510291584,2687099509094852908,177661613573261070,2809299835151164224,1154165662600981536,918043837166392704,1766021141519379036,995075715928622312,3486204843893185248,2050179084383012964,725515713207191322,220936167281671362,11811935197917684,708745619653331040,2692101834895827204,91190729522458896,1254932088024142528,1964611519034119776,2404974550680359784,504777863867785176,3256205290433291880,4550750928152890944,638524839408389984,522451501891017264,188677979446660176,420970579842436952,1277983433754425376,526143696421854384,260815475237113432,3426394078708063344,2896094154044118510,4623779935528938506,65308157664911568,435405854031199920,5079946567313664200,3948753667288030524,6437627385933828888,1106848467743487744,802173319037517612,2409235344554273550,508300181513670224,4778327899295366808,1802392973009384016,157812223605234702,526062663545859720,755773510851695952,2630448206562095370,125804113131407406,4195576425097922304,435798253215998832,2135000326060527156,3117646358237202180,1096206475849210032,2875905375562568448,4684747303939804848,2157463077238987146,4694584986291486528,2924095072498233744,3524857865681364910,888326887219314972,339647312070591984,1509606531746658560,207600380633813580,2127579168934946286,823855527581719808,2365566740224419168,60879848030471988,1014706434253300600,560980832579206776,4230177053490437472,1766852424164909136,59809307237944128,672882760435135680,106138268881115424,1194105312223152660,4146564491675774742,287306274019873392,1436591271919713120,3051600575896498464,1275155750369655990,2046819031117037568,1899960595473789684,2567124902598213184,3242029326765238944,2343321825536563812,1597850069761327552,1924461393779786940,1609249619359183752,3343072211371733848,3299463798858840816,2905979268475885536,5204680667282051088,3130868639297758920,1909023578110770720,857592076477660740,2777176826848057224,327185791644288336,1657034445528611960,2987975583594032256,472673509459255440,4726932301137233600,214042524000577536,1070257272990288960,2348810143899824770,285646619146826784,1300816980209332056,5588751909074780268,2937186862992100296,1608698498571045360,275471047564728416,2740940959266910290,1665377939576660790,776932635690059904,413272192286498520,2380440460572015072,65755550504045568,4603080646797373440,6210168022063310976,556704717050485964,2880867601666552110,4888048994095882176,1339489103152522992,173826349671809058,248333722683049740,1928597119498561204,2736172832779857240,320314257070858638,1295024452785065860,381861293724250224,276251595937370280,3225778005914104030,2249196442471443888,3287726634680708892,1397174376500871040,3513698524582558092,4213275034192478532,395317839061657336,1628803561202013960,1011135978940186788,2549082235229780096,4331085646452845472,393528835691005104,2275268837115210030,1274011013752374456,238798422621150336,1603980628786961172,1235884033596234432,715539041738813160,5555394048321340384,1569166290159683280,1339541564489108148,3080692263600774956,716989281177461400,2691924952294290060,903147872571711272,424591764213104442,3774306684344919360,2665230549100528752,67026760840720560,938413856102610720,4828513885369419648,416952558235916136,652755339832529538,3782538052879426584,406843957632968592,2676972125715793920,552266708219523880,1930277558753341974,3751244228475923088,790490545211526192,2507634272220428160,5318522608095086796,40380324503583296,201910060493950080,1904547203476000818,2033039965276000312,5258852028383987712,1345970754695443008,182792765947527604,705334274839245816,2016075592352695104,667037978759015792,154049384744809410,924334946048596860,1039637395634843648,5055728163659386164,3620161392647019024,293699323336448544,1205463161105671140,985482192825507960,3465219066166916744,1044576609116746728,226460761793962944,2264702305222135840,495074214434604078,1043953740438591312,473729156205812532,3158326436586399360,385259814128339784,674712866117866662,273501977411260224,1709458844493270600,3258836454431203184,900884643374110512,110958185123934516,1849380429372156400,12814281721202940,448518618850371300,5766909154370496000,2995140165898419072,4482860761527234528,433217342032898478,5111355434957911200,3837744244521276672,729775843908889048,2775651496108681536,870369456566814408,4793797475817547708,1391014596068390874,509440078734876768,1983024426606681768,1397272546810171584,3021208740305462718,2806515950774018924,1570931953597868400,185639781801385224,1512943398729466032,780867102111665850,770908431260803608,4911196845039742656,2259271269536712816,606383820396761142,598594403884755776,35751830878040112,357533271295662960,1853668077232282872,923015276086290912,1158376597308221136,4925502134031327728,1927672185929253216,191032098532546848,1293699121940624544,1843309076985638550,454907642532040008,55602926600592932,1112105084477856960,2295521145038766348,381540249435263550,1064106746847962256,567739071546646032,4077266726972205156,273372885571189212,3134985274019455740,2454118917746976368,4914762364304093664,2528576032359055338,3537005795054374752,6432298663366520604,4376728680972782238,3801478385553256296,4185434116420708320,455285552386452192,3035364124574453160,5558032097784343692,1267389527032798560,1883416322263084488,710898632399890704,296541994008666636,3862057104912512,347599697804720640,1931190317256672000,959847594263288820,356171510598283008,2680274991768008328,189378965977308672,1893868990593223680,436288165816069116,2854620431871255872,1881093877084675368,516722257736700048,2890729094207401024,2601069685023709344,576107683015394424,575116826825600446,1129981122423264456,2781038157908157072,378767096606647168,1647578619464989104,2483480615461956000,1735787344675713680,3170669837415384150,3712778853783138108,1258967720926221540,1472258486757870720,3682952434908700992,625328783736666384,646466011840612224,534365607616235424,2003955014175844140,30738434465191464,153698614113448080,81240925162880472,270814434709578780,3386155284133875078,3106705455156124672,1229886823508132580,547708122646673616,3596326997870396818,4127100024137264928,1628364177502681728,4968819538387989768,986553462035973654,643003291385937504,1487274505495707072,1266736702466705310,307938885970830498,1006853052589959384,1507320241773206112,351544530601468620,2343728475735696400,1995948912262410576,2150720172947184696,490485591677302402,452286695524842288,490664912261578488,5607834163342023680,1980503831343058596,2655708381814791456,2454449042283561344,537239181190353936,1585690279546226238,1663173718933655328,3269067002425942344,2264312772508135464,2597344214965790598,2634203318820675192,645513395892628992,1544653232821098672,6241346568378795852,754423045722584838,860620470862149924,5767076631681116208,932730526127350008,414672923282243736,3527312025489825888,679399946937200412,652052124223827156,3095302560523540542,2338690836116385960,1319664560255224224,4995150501112147404,2246084057153164230,170808042688781440,1708152103359566400,1332204348153499128,5076660944825909390,3385572193869998616,440538177944761536,3447343038591495250,1851463887610826034,570704442218857152,2520457989563115340,2324244827671312992,2428907265976379064,250537386088104304,4074412111423629888,1264827401335758048,376399180182646544,139475091927687840,464936489395637400,1315970503851578652,2749503796679696196,1258470333352305000,2440652831278689024,152136855394467072,67864264131939384,3054020102152161120,1254743207450390736,2317169046133354050,171282296405894864,1350493728334027632,38209582190240784,1528447464553717920,2958476742146683212,1519249663206010800,2400012878255577344,427807926262491408,3327534715025616480,866649616606813464,1312781793458059584,3052173286285891140,602411678849157728,105179561505776736,876533158948510800,1851166676245949356,3703587814118792142,3145910813725626720,1893292082317436760,1844425592052519168,384685152626907744,434443765497912192,3730840730720641800,2354197381820257716,764018124756657388,484842706185053700,1575268470424201392,48962469553418706,1305720709903175520,570624553067148864,2727233465712914576,688631444421342084,2820242280436515858,2131868364435763940,131803278068402784,2636176327779673440,1261423550902741696,1041379088785543296,2455780275451365360,1764795693813167792,1373089457456987220,159320133506516004,411564258215329792,567467912584014156,4211935396092159498,55042869399247312,4403614626746586240,1436665395954127590,1911965726235446982,2461343518204515504,375215561827342440,99842405359376520,748849516908065100,779010965329279392,3241068226118348076,1856864074564471428,1123945694714782440,88080884915887776,990951613839934560,2487676433945880786,3425773895214980856,2446876151493761160,1257197814831073392,2769612144166208220,422837696814020784,663608819803580244,2675363418011895232,2883649918276416288,1486188471424367106,1911841927316145152,303408169235207784,298912166267963904,3985663154184826880,2021304214713610272,1152644731673102976,1619711685480705894,701936756349445848,1311719148140545440,2307580029957958344,571924606433223150,2385103324911043284,1216409622387796700,387185791553813904,443061807265056936,6284483890699809150,1056879086188045824,2013016855429908540,2345628467565740720,6230384962112383866,1217860173140739192,2145856323214211072,1240089048339083658,3787066360449100044,1350943081671512896,3121764772190870016,336228064200999060,374891522113257424,2284250005226469168,145032054080007600,6526717053484639500,3703964045355619122,436249011853068624,1246478198690723760,1790823250973605128,1585121284535552070,908568854883053880,645640376844098304,957695884406072064,1067925612295261398,62179087033231872,621817040268341760,838593492915502968,3605243393100421392,155686706586612096,1779351539343216640,6563905915181087772,565931866564852974,2560534789590758208,3709056542452361100,328167988385270730,1969090819724040540,582561203477071248,2367818694785775552,4114037938647944436,1017188715623418576,3666212289810532728,20177899115105564,201787486724671260,1441399877413773000,639158851876900124,3674156557730238288,2741194691152122480,2607460039937455416,4845728175439409280,436736126490932304,1455848392325399440,4916495484593248986,677380614901848324,93923818334166688,536730136329510960,4155301980557582778,2094912337080395256,2235261674378196684,1431859161732731244,1272171562459949466,3990951732359861064,1328430421120158816,4581699473088093384,557405053808741664,3009856193985726144,3150859336593192504,2533230535094986320,1149601999413406968,507512293322819796,2332339074936767232,5309207187603488442,3947792359140699972,1768514366863432656,2613809465769617904,543867847829937644,1769598211814204022,936888170829905664,190871912706946064,410814329805106596,2542368815112068250,5722970028130976544,1832125803898099440,4007583382497354576,4118301927921859584,364463354248115076,2328577357932961920,971280589207424976,1082841820798390092,453899984066685288,172607407108781952,431536704736595040,1137067384601086260,3076738819574331996,1296390648585121200,1944975869096925456,730936418849214808,1969776469866961152,3986203139772649824,1789786487624711704,6537382933631244750,1033756964381879112,3353443674723186880,3545826332865989760,1375646938095769848,3080049347765512304,4557201856566560460,4092371734197098784,1232456728633841768,1467190892350287216,782022211965554976,3873952499584622378,1421025884219136510,5327741580396407568,6023463069317067324,2075936135011371612,1517615512175923794,929619857378283760,1076604759770480064,4114653110103805584,4384143991075994782,1564608907936779552,1070210993604049044,5093890732310745204,2036068812622644030,1600385841009421500,397988619493815072,3423052749695045964,1548132789196804656,352889754508239360,2980208546264636316,2522192257133306550,3243534104259528816,1209761774012023584,86425973737018368,864296196624129280,2966589895230807966,2637400175199410256,2711976197889415728,155531409384319794,1110985508903795100,720158538100968088,443026052940271224,6078285335898296370,5218849742294123628,3480477302994928560,1006221729342042180,4081935051939804416,1786753386602033652,2092948371883347948,215643901143004992,1307979851797186656,4767851413638773712,269514530465312776,3465333059124023640,467741036304651450,1656836734435160886,2028520840440200832,2625298946742199392,4466942609359763952,2043658557008307666,240990814820990880,4338017763925881960,2172236165591846508,96596106483730992,428575517408521976,5115811340054029824,380813743862506368,98503562740208780,2462693027919054000,2900501941325255736,2305359695303660460,82747135804430430,151076599595948568,23906042279450296,307376377852012020,2049262371904604400,1628806023179824896,1557766129520571900,749208355308475524,2227068008522102606,345543873123485712,893138909235019008,3641852173581578340,3078935680407470532,1853044689129747264,790147468335832160,453218280005526552,5902554751667508,177084121031375280,590305333277985600,4164192201788634492,167469539789229034,847797323274339840,951980107517626680,1196120437410870228,2013687168050147850,2196191103768132336,2184342413206782144,766112281086580824,1638839306663070624,998948628229708200,1910468629251691344,1035382096152631296,1758428046657120288,4152948456827460816,578890335607844064,3471192176005859730,164954395532524986,573557147164429824,6127285054831252092,238398023778216048,1490050605184940700,2882034846428507088,2129749271460840960,3945302996922212880,3294618881495544512,3164522788477094760,2513452422473305080,506534450124286948,3268708171486366968,1388944884050231904,1833619876866477056,94344549858677646,2830456115718043860,391793981988082176,3866672209741667508,248254181855158602,1107477191360251610,5660400652191819648,1167089984323507008,3938461451958836532,3201741055617175368,533931924862680552,1186565545177046320,655497465647581446,4711280172124645548,6398582951486755944,1617576067482956280,1971164707115937588,4774535783749714892,135484223186071104,3048523905095831160,1853056315465908080,2068083130022597016,211142510870842584,301466339304211424,1503645242985639756,2188056984737109678,4539175367995556568,3103384858093129248,1291649515787880888,2113313526925652040,1362705076790413020,30531963682720896,1068663921131500960,70030169171856432,1050496963370910720,966219573392067552,1060739416201011498,11862022835570592,355875736371838080,3558907886195635200,1943792301554206254,3084618066939749788,4426084085203325160,283811818977485352,2866775510975277990,897685353764063796,4280952201180597000,3057393725798292648,1130677914189887748,5240219850336708048,2759883282383030464,413353352398313808,278210509612254918,4131817381261277136,1899921781435246848,2035886520355505664,642499138541648914,3440270414014245396,136928270956884120,4108021946299895400,159141961179170820,2228081734362085560,1287710337206106496,788557519391220864,1150692322483707630,138342666630432248,1037613909208345920,3488600636982226176,4658360257497469840,3197258582024433852,230673596426489448,384472265687513760,524842616219331120,3936486228427672200,2568640488558142240,1805359392732369672,5809851424672711728,458477765269802542,243418828159174320,2434291322355028800,2656933754867283872,2077122188638373184,1397829929040463968,1652159021705585604,1616649336572543760,1250083824835625136,3425718516020083536,3738778902503865504,1862670229430744250,1399795195027005048,382765504578052752,2405880920592053856,1137450798810543250,27065664654805410,433068971325349440,1624077409944933600,822150046446540462,3761040513703555962,3165348817868142080,1386008738577265440,219079205916807168,677315655256192756,3594551334532944720,377768895628672176,3751629797495242820,691362149172674886,304231670891789976,1543029601480834248,300797978426767602,2210952146607251694,4451957067610549728,265445784656899896,1532634128336765976,321307060243714230,918059059832443200,188355640082033376,1883636192225202720,496512551117311524,842715145831024368,3236114739778250880,3306820898291729376,346571388692130030,3924256268036783088,2865093561966186900,2566645046129747052,1470453821175676650,1068605307789722064,2126777820421423488,81692032909862988,272318314846229640,3623606501528021184,5147599491750717652,1068027072207380604,285466991815935504,1070546584272897960,1611414560951296128,331283922394349730,2650383697232898640,3374795215891282752,637739587254323544,156688987616421876,203279933497894704,508221373313104560,1600903987142770992,117683910550727208,2648000222300341620,4673625029607271248,3054012522251108520,293573922084280824,1677636380946509120,402481776618910620,1165203391001263200,165721499273680482,552428415851131020,1290698247808099152,5707967744483508672,274052774482380624,929793040237401708,97474505826684944,1945256296747721544,3220648000307729640,371880061181479104,2735940347573342208,22323260768963352,446484146634223760,2859342994824670992,1077684596988632784,457933272407537376,17272489891686696,345464447225842080,2159244359551892000,1570521758093387820,3404519372408292240,2209647270235629456,1600913406186720252,44944984964130096,2022610103845002540,3644938473701176980,913723004368431072,78394896704523456,1045309625275979520,4378700348591939664,1105284277220068372,180617549948907264,1806252116103102960,2114128345094497974,1693996768260490176,2992446927924806880,2672339149259942392,604230119034772668,3625217086241150940,827295721853768624,1014322339773614430,1711258303254268380,3452099637161016576,147195352681611120,2208023971050684600,1922142152616020496,656380685985313344,726908092618341312,429684182140993686,6051077031278292642,1930350888743362992,2834112515988830336,4019247926802724032,463502093258486844,222759190934153784,5940497186026064640,5255181632117914974,4657821141700124838,5524538317947645696,112119562853062848,3363729644762274240,2269981264334551344,1669020968599662564,1442886925204465728,246926524638536988,1896677191716176232,1250243206901740128,1854838613960758104,3312397611440292078,3828111239556704952,1770233716677263904,3341932083613141560,4785711481692363424,3284875052072815290,4352204579096186496,2438606885931438552,1708261652958486168,932638426515514620,391107199182073536,216841650957133488,3879049415408513136,377096999223723712,5088096447651066528,3772294485562936404,2315814834773057460,216186118162719960,1080976491489428400,76527193727254792,12137135221761462,121376506435204140,2832238756005489600,1676140393099719540,993814427306667762,3085782894124694766,1914911958149351160,157928874718245120,225622260451830300,4399313631667743672,1434785918794548408,426272443698977216,4257114166455773532,2250287961165747954,1937625043098096372,2555515703681031504,3018934766496795360,1410932040711228372,1785523400744043744,1380757723053519456,187723731643457064,312886177835614680,730017889791675408,344138731237207088,1474942937624107380,1032840603863392932,1972743410185472960,404979147061961580,1175646367291877388,4887920414520801018,765179322962549664,1359770818335069336,3762214737355469664,1106349631017914250,3192764116509441120,573336871233687264,1738604407735288602,458400965828498226,37091617257873536,649130887400593920,988895075609835684,369170646856200888,3744023206858008384,312972342684763392,2525421910830152994,517997218635043722,1811115194230530144,4187070828958965456,340300472496640038,3343841791625382714,2656109614004511744,3223657713469536864,97182670093523298,1943736024837784680,938342827347765120,1052057901892703904,3183040487500099184,4391225711767396260,450787181116552776,5537727776534478560,375455673864041442,536388052275767820,84962745595672944,1699327159544039040,3585514619084158872,1265124723522129156,874877161362669696,2641710644931980064,1490594304049355736,1939473367495979580,430353787011414420,1844451802553289600,39702512677926024,3573378093736043280,304613928361262160,5316118780087262868,6491575920749309838,1357537619925641528,2371901942304390552,1999801604964518784,1944175083129817832,2915158736943681804,1376534879299693440,461340596133447332,118858820352274464,594319380106008480,6116261183884456596,2734019607545536896,3612249089890587960,1737558857882557670,3767044777263648144,729479113315566120,5315270796512447868,2780956006724900190,1060022743938555060,2957290272986287840,3949629993393475902,2625674886802337454,3121157719990703760,507319396377263712,1007702060246432388,1354562914848883344,4847985983026929540,356782614707520768,3121980714592792780,1273683619789951740,251116117171565904,1953724901886309276,3848246492886245088,1478315546120841840,4635935726214134804,2520862155011355120,2715525130655208168,4208673669557099460,520566656521295616,1072964950543087848,69288103396901102,197974435309378920,1798616590389889632,6463141517025805248,1771216441844404356,656598259311834774,889044124976514528,2476637887678650960,556776757757681184,2088001718360480760,433030738423267512,5773988960768856960,329076776839868246,1145628342712436820,4562387762691503808,2858827318101647408,1544896586067075252,1112838213082084008,485388486913462748,2081959716087816192,2749854358330000866,2275214839630742202,2770889345812171104,284598711576406752,1423054147925451440,3461080061389905024,2445762875041445736,430488009021497856,2376953329288834350,791530576569778320,51129003604433216,1533935427790384080,2067782792003152176,573091244723261396,1841222987773293540,617951198315424672,200843642332855456,4519174414353184080,1271861940827866608,2449519219268893560,1757528910614591730,1270718356189182444,4096199994370960336,3408968825725136184,1628538251784464304,414878160949659474,2847137647846414320,97402658865714936,1244884999599555276,2166627644398416672,200927708880438864,1004681342791899520,2539880512860569544,3196494342565323120,1294976698718970560,170316149160526272,254305427462768214,485037905471466084,290619381956525412,2906317644143526480,2854466955125209710,726021546172929804,1080692869911638016,3204923234287430624,1195423828223707530,520607260992986928,1407565334889372232,1429431606028000224,969183498497148936,242483341260188124,287042757854179656,410078558069359080,264102628729227570,1694630504925261090,319657643271128376,126834024631908352,500891932340410158,1615689240625155456,806225100384256960,2402238167175427440,994408654161749340,3628561423720200288,6276615736334179500,582589652522780736,3236747147258903300,1325581734151987296,485554557325842624,745736043842882952,3325359405365944002,1002044780074037448,4645151338965077276,984534597743645088,1258907350794298416,451005408218966304,6765369550893411840,2417118404292161328,3329773568740392530,4114505074870509216,534015651661253016,3654263468096473120,394246465538191902,909260155862472690,1451871650830968624,573651883436947140,757867255053107628,4294143239551226712,1204245936091651860,412169848400428128,1571510501115651516,627094195026705324,366851334237486912,4891559730004280960,733941593296817958,1263907590563216322,738941644794524360,1239494644615480704,47238266747092584,1417208447739794160,554808357758965680,340753252128325524,2987131540873566348,1702897394757936384,628933776056160060,3911033697589553088,823655547282488472,438312778000015554,1075225313135557760,5329215599511858768,6215719535247714426,3763693860945649060,4834109840028760416,657763591793501616,846435924941945944,385509454954003710,16488328686329040,659561287654155200,440145244605268944,2751025155633839700,808814982938307044,1157796435741724152,80403929511851190,114867657813859700,379059941419516464,5695737449416702272,1731541905929830194,2306935028939048496,4595205789979458912,730534119213321216,2261329412351965164,4826225514141955812,2941897751391831936,2977844668691391324,3234195673535606640,1542255221700097840,1551125931117725952,220131482075265600,1651056584883657000,3531222885154448976,5069340279517580640,482541654321108536,918358262491692546,1751061170736968706,571962006826249716,1463639261910144768,577699625783152296,2690043151992044702,3045060002795083968,1357177646627140872,1244031920492036776,56000014030613592,2800120244776351200,206147000818734536,2601271684979328240,4629256120507369248,3134349172857311104,193052839882196700,3217684716262957500,2422018366600300488,2650889766447029436,4925327644591687872,589479743833747092,423120284173679796,5163568354496846592,2383121269749458084,1602085249803685380,239976659940437664,428821860938205188,865347359699729520,1413086541889637790,332882970681366496,426989838846888576,3050057683332149400,1402407569365541596,421488699155119044,702511169986920360,248188478306410896,111776346791666436,1676716819451603820,754955291117671968,2066321659892917248,3219488097320019528,1963737288779355488,279713942031144984,1446721560775875384,192376636189301384,760742168414992632,4300719225038975232,887718173674110704,4730004684176330664,1747419762393124416,3373249535086781088,1071177500210184000,2414329859759524380,1771656746340658284,849041078392204896,1540176706547178000,1524400495387180664,5384941083764737488,3878868032694360216,272146758526328816,588558448681737858,3839764454194486128,498341153101316352,932345363350109376,1179348018194154582,138671013253712940,1386769396377128400,3017708207123689728,1184230044378642668,4109514750581810544,4515583508076534912,1145849534033232744,2187429613638340608,1351119486685893576,2584443606143076504,553540646054869704,505243798274648664,3922949795062795792,266930073116114496,2455826347022602764,2918284879293144844,913566177667950030,2179412738134010676,1848496298249671104,2285642223202798386,5954411728754295498,2157793749840905520,3151022258227485180,1907584758423766890,346714587209124024,1684784993340182904,976645565022205008,162462477165462496,546329992528682964,50037232809509568,285939270596833120,3574393716341769000,751962832818549864,999029023637740656,1889210029522487808,286638573570781278,1228503562579790220,2043728358708392280,5788782432345165696,273101042595859266,3279726462531313872,462131205465183960,5342270800665087296,5342112856677226992,487103923886269932,683795780054897184,4389472038877372656,2453712456432078702,3685612056390791676,675623707538387940,6336651898119826944,222793064988072306,6684077853442292940,1379141051389867512,6537725311431394620,1185986788513297848,5138746835717167632,458884296557684624,5221207906449302544,4410376421098761414,1525991912613128928,440362639180459968,2612038278867628032,2007112207357245408,1483616408861568816,447464537677209852,5019215706629398736,1791751656121007994,1324874585819678256,3258198701124925200,30260953116244944,75655619954743860,2269765719425381400,2964440050393210020,4041657894732848064,806019386243530816,778522684951045350,43318416029758848,216601349257299360,6498318567743719200,245252288881061562,891740124339846628,2494285056000522720,2027476398881999376,1114234653961091744,4140642195482620536,3623435297843247900,2157440041502070768,1854911699849113290,3043026296445886680,4610698061156939752,767417136889212648,5148323039321788032,2254614316984011264,655810610808721896,3186357441513502536,3067696459113500424,3027372929839199880,1959897845783287680,41582484527812910,3326741179501701600,1959239796805063080,943412651046855624,312054632966872080,4993087895675838720,242362711446647008,2769978154109905920,1794266256177627480,1454356725339912792,576039263639385312,2208779365555143216,1154314499205504064,678126388544183436,2289695555590921152,4269747249231806976,1360331972668968336,3552138260047563264,973128378538586736,1248031677293250336,4747143497160739572,3699514981467116088,3656358397258619580,1950393257564211216,1159197289147983712,3362758339165710870,2567413212512214720,951210452374708336,193230542562051528,758216192390534664,3080475415984792752,632141492885960064,107766893329802064,1616572643595853680,3639839600319889680,288433978797496356,3323066952309953724,100338558609771666,2038401511575603516,2133126003580838016,588349379109547830,2398258788955856748,783341429332940240,1368004699983875856,2492810285944426272,59649496897533568,447390394376238720,745682605287091200,4155242049218991654,2922418784449286280,620617059369141552,3084404703283688976,3573455640323336910,601066705414481784,4351553140767710376,1787441828375278152,441961910173185948,1964279235906495288,2616267644277374976,319838229109581408,131745697751145324,439171146194078760,503205269583224940,1462540306909369856,3816996977487681288,49286069482749228,164293939575474720,130798035127046124,3488097101161881120,3293129158551554910,73276624354987008,3297589435960657920,551856150240164792,432351305562894588,3603081988170381600,608765092389878628,1418677615218754008,477549393657873504,5372660987100153360,521738650480641792,547575193681411944,82136899147763718,1369007008001218800,1208440741301358516,1087562121754437680,4648039308034350192,1081567282278629628,3928701784193910656,718352423305310772,234768414978985512,5282515827594751680,2093847258829874580,2353404190084066800,4238934478525743094,4229644076637620004,1181457057384671136,3187978929503840122,1979752361953663350,1471747143406644288,5072684889612390336,1284569518851162306,277097388653192976,867743116865830648,1330097972420587320,538147319632985130,706660217749517464,324232943877008352,3782879918334267240,1457401226576906888,820649562498968742,3180741216624313056,158449103016583360,90100959959274726,643605891133469700,4570129795803138504,1203271244564647392,906942752926046160,1770759805531499790,3809135883375614664,2674758229780944960,1574226111881444252,2758292559922634064,1316176998681842688,2400726822212231744,1863119361361575024,3829020234775155510,639483573342076612,1246665018912014592,778455050339605374,4590573466853512284,3155969660298854280,646760665715261976,5030576575379127080,1492672660869859794,491542749969107760,1217701864248171024,2345842458341032680,52101275212802340,104207021986213440,1570821844062399336,831343217587287606,3871153495095429186,2396444662637641080,460097896699953600,559026150178760424,4936904893148917392,6368182007427739944,50848295104965292,3559533423864130020,1605554057997340944,221317314060941320,2281445636904086856,545443438116655728,4663094736075004912,1453688138377588608,3576909622844563992,3823247187315581652,3092967219832467930,2816876459280926664,30357496449176320,242870397095850240,607202058050563200,4837659031123001408,4056673576718708316,2292174008157323934,449833633747411188,2154881097196446924,151998422915774952,2216298853066800822,3205163717195802426,3924402750896444064,4083439621582735740,1260525975918975180,205171800499328688,1025903050908764960,2643763133449759104,2992218209237899620,2679601176872619552,5060850320777735616,365580863980019640,731193125775681720,1660622228238147372,1690254260074654416,950652752040097320,291886024944794868,2501987659407167760,1042888046548783360,2092555561509016032,269943400518677202,3182272201771236882,2855463319978120152,338264821691514720,763314776725390896,980247067550180988,1042549362537300480,2083236398050300832,1029951106941313896,912871981974864936,5877936049556266740,1090914488234995392,1521322260700666248,6065137671589884348,3839462252789217792,314350164887279832,1857707949084868062,919216556794540566,2866035917697448176,122061504674865792,3942368673430340106,4205673858470296410,3038811418919190880,1658425008206542356,293961931584854076,3429703222304395260,202816764951984936,925061854801622496,4977211097801311250,578197668017677698,642469458695405760,643994707767187392,175982659618027152,439975554653688360,4360116658067670060,1021969824568710528,1353709768865956332,2013009961978401008,1666744045609555440,1604547716017741056,2195860376566836340,3801954075996128400,419572512327002112,2097952724819128320,1633508773481780604,2977827725693033136,2753636968308388848,16260809043438180,325230159350374200,354094982040702216,2360734681958099520,1249205425325014176,1474077942359892300,634143978768948084,1092724809413536992,3424642160620817988,2679874166024588016,857995752664826064,2965079827935118240,3424510526744888352,1539661267204686486,3789582966183806592,175678074030931968,3513712538042641920,1415370444278733270,119293396659120816,662769586962676800,4331097221124986752,4251887479921336128,141478831863221910,565939660450225120,2860729691894128008,494576744437970112,1854742541580684240,4841377919388332532,4485047484056683824,525543332651913312,1588105641989644722,1759298969274637824,744571512376846472,5259848831198445924,2110554489092889492,3409939068180280344,3249945827900674560,1553378870895809328,1948726876590986964,1737885199960882944,3616094549482520688,4793947951853823894,3702781851650508528,5413386313296901344,1460620692917775504,793148404653849420,32384757561629832,809653764295836800,343486053642862536,2944292819663412720,1176223481571571464,3509517563640908424,758475780217112832,2068716864181587224,3219127534804007232,671999791815630360,436894044830333704,441838848496242930,1964480222192789880,396517727525266272,2880887438725807056,751060377922155000,2451823579182888768,4247575543137775392,66773516084919072,500822918568446760,195914672497325832,1469423267780453640,1283169422954312768,1307254791569143860,256929995952561762,1269701848401959664,1632992420511255888,2182648098736197972,201512922297433114,1772331978841588032,3503633827883779800,288601793182388208,4748744193583729698,2796993649412110080,815207529521661012,239111311245624396,409304699900134038,646149574597535440,213507336399202560,3843297466484973120,2368246033889789130,1424784446058464352,121790193287193696,608977177826406320,735934373407331514,1681133176202315112,884167542841493168,975299194540282980,156448606008735336,6222479952275430272,4184635446543858552,4081220638115517864,3045402206857017072,1773077346990379080,2391937594794786816,52001029090157310,1040065357262182200,2392320978836914320,563023528859781864,1876825898590912920,2986172741080254264,3432632670777620988,2661860425017651264,1428782454693224352,2961723547157455192,2358304911015732480,2344198992275089776,2794211434525267664,1716828520238852220,2272962276178825728,3831680070546938752,194617537742063304,3892518372934340640,749422485673204992,895366414614352824,621809352229009614,704751451356696186,746278239953097672,1494264903211299936,2339127409681471824,1334042491732109064,919685725170320160,791179336801041144,1368449515227008190,2985815701801615056,3483448192995962352,2610108259898325984,1072299594400357644,633334430232501216,172917381270310272,288208049699096640,4659316850150343846,896064944818648848,3775381673730785580,5976162086431381056,3006349716522111696,374365982621123184,1180671542052867072,1173180249013876776,347079114621966978,317047750791050332,66341185404668928,1326880872891924480,163044512559588824,53297126779831308,2131976925559751040,897164211311892612,4996344281745756816,5071388859450941454,292284193796101432,1345341838367268816,416222953961985444,1090019377767067950,3613816208689702272,2503218023391476340,1636523033160006288,1081814859221321322,450000956208983256,554778501515200320,48382149936014796,1935369400839024480,310529681130325584,2587858868235060600,3082873607814840252,2289248241745303050,3160392034918682700,18599054494653072,371997122612225520,2480087708492539200,4719906099652049376,2989476128666684888,2585824862978345040,74175349753157676,1483570941560728480,2492083658670991488,4477492436359204404,711064750896540724,2775858414175296912,16855479189978420,674248232512725200,424104259106363184,811316143323952524,3013187874438448728,753551497627544016,1824122132891985528,6032907383843577456,1532864221630495776,672037841205191136,3598378031863554192,190678523001621360,2383584304672824000,156747879168820008,2090061837124931520,2176746786134544312,47780407712625892,1433474039774336220,36181050128637108,2532782720685802480,1369889595784330272,3070455724599237150,2430285854843615064,4337065713628758528,2712268051378880256,4104221089000941072,3643113606051913740,4835877993447456924,2516449007717179392,3024473347470030312,1777678972710417096,4412518546835518920,1420866656497606032,6303349998056102544,761209684178966726,2469002437785176220,961316913953577120,1362654776400863664,1455247656811321632,365631417825125424,4178825021658456640,2860670743153148664,145651297467007836,1040411288933724400,1993526051838538752,708698515959238068,3898814641608372740,6080897499829939368,3830657096767750056,2394310131874978320,4330242286073613126,1291593071931275016,503742577437254976,1871352342024078552,3602742418554736050,486160445992463424,149017728782373792,1490241583735926240,1396977055907536380,2512450585204595352,685618004983686480,701800035623547488,683262129248768304,3980813687710874112,449081978316898928,661541489969906172,279565782778980072,1258876393577354772,236009821814162280,775961339792133888,3783398022028391844,4563728166117320928,4288901160295670868,109032544822134312,1090372504226898960,2096263973295930780,1385492547172810560,5795744997648394368,678900639202191252,1017265825755349032,442100904340708368,2502162101071144752,1415455748439925932,6631193262905084376,469239094347240912,6848672852178663768,951316211415805452,2635444256772096,15060331548715520,188262270851952000,3012326365118208000,1782249033163883088,1172231589728083248,2943383966207993328,444013030773536812,4439003818096066464,4742439391061323848,766711449566461502,4764977177640146478,4821958328085656496,1796648429809554288,436586965577588778,1199447099407534950,191495509391449440,1276691851314496800,73849804857472896,1661692356172175040,259565040492206616,646201262656366272,2835603267135982640,233587184987426724,2621006817468530568,3420556898666268912,583187557194099864,3986233383065360724,883374096642848424,4508183715178758336,474815078996201316,7122533770562432940,1539578142926918592,3320612960289147864,2313589361991366552,3401356623741773532,779767914052812132,2879998396001144496,215904956736397356,239904757881980760,16835175268055144,1010154146051690640,762520617240440544,794918474633532130,2841031009957536,113646149230855680,142063822936965600,5637187020332066886,2109459366466574256,6088698580795392888,2459552666997001104,762106644555687180,4281439856355881316,7061435301779638560,3475533373305429330,4160846457533258108,1908712493457181080,3833010357014882736,277579970841060792,925306545601823760,2800452995397105456,5142611911448424832,69659406439879032,696624162547607280,607109875975670272,1013233988430182952,592804199211632496,579052641252822942,450622286065768344,1326014166954911616,2423480775477698016,1844184383881774524,5505293293131070656,2080030474232676512,3429319392126240672,1861795988660109420,5736825669884343072,51840133256365344,1036847472948018720,1001341661303293948,1170256400198778240,6746286532180185144,672537846813311652,722025524149814256,427817920471843536,1095760829185283072,704929684000056108,4786912928481755064,2363553217902032640,5986950354856962720,2251244116009362474,65546546348089224,2621975187437527680,657346683975790368,286293762912963548,2542143531717852552,5484003095348568672,2010168321141114348,1660331782847516940,1090218132260218368,3966652889205810916,373931419427843904,1247699162144353986,1770366572134647798,654690051889133616,88235779832890872,602157610654861366,446981410378233738,2554289922015116640,85122226916745792,1135012099001320320,4978246860353337264,647017269714686288,585218914912937808,536274269594669862,1748622712614299784,1398249828077248224,617533110235832832,3487194142631119290,5401082294416034388,3811251926676779064,1502741313700341000,341710251127204086,2736995054419703088,1633924053046385912,6661999825890262704,1831840776765541296,4869943084706949256,3481867547992977408,223202450036167188,2550881335495456064,7171518063584470374,5552919602784886332,6816161011369710096,1988976309143399730,7097702345768665548,4260070232500742352,1441780284804604944,31927022754140634,2554272304332546080,8392581279151776,139882405386729600,1958438390603755200,3239551323184003344,244792253416656960,4896056863957582400,1608209816194865898,574210597976824104,630421250928333008,2334796494722033472,5417808324251015178,1738294025853853464,1424504854975269600,1477762505543208096,1004904823354724512,945455205916130352,6140362558131476928,3940777408850438208,1097484920838407808,4589715412248770352,748715796375632480,2796904902701565072,2424508762740567408,1892637821046936888,4439581990801875000,427896866975549664,4341529079047251328,3181407663377484420,6961560242180318568,1645448076844036068,1387155230653970736,1094301876884986368,3399223877579605720,2455581586717078848,198432567337740780,1547614761537686544,1011075523585003008,350210634485033952,920481989266562712,3676554126936607770,1141597099764056124,231005773550766592,330022531905804480,104245976707500024,243439756304276264,223222635478086264,2604376809305694780,3668166144880013392,2671459205286621456,2282171390779717800,568176908176926690,521184004372799316,485350019735235648,2080161560721044280,538883216218107912,2961955926084014940,1311224247693768784,320571209324006784,3826345076483292,19132553678564540,1530670561805510400,1570571191239002280,2968857245586276408,1799685130068959472,4551324874238132256,103838984536587584,1431649648579352148,5505246154517381496,3995494344703606944,260002118149251192,1401669856308657978,3622255136020748304,98921767023721200,247315126617312000,218842296400135806,5106541375420169580,93818545971939432,414055484515255332,1740007414303208298,396675140285693076,1914192366438572880,4390159526661617184,1338523798176759876,868753389729085404,1978477642649063808,860994238607409888,5710796975719721322,4450351415480846748,1485914782786940268,3651061393410221056,3296627174742203424,469991198105377080,3368711482285845096,4321005588260235072,2386836183029193936,1446108927501287384,1647853907086577568,576539771949893400,2465356223478851542,2545666045263040608,3116819917670475456,1749086327274995916,2007166746079214082,5652570544843278888,4710288490531712396,1919074710799868544,1589912610882553908,4432048266642575436,1228653739151509608,457981937873629344,3626601849724504890,287247749723436474,2462230246431537360,579677371191196080,1482117204687991866,131449635996563808,2190922194840780800,1496230756087108080,1602656349159948372,2129722459974793936,3086038409032312848,2332502600834913696,626074759736706480,1351200098190616938,4455027352477227240,556021814245993152,588206783442156978,1612341229196547468,1688516079407959128,816557332002519024,218185631252570790,5818535659272378400,272179943488213680,4355067837735568320,1261908712911840328,4859898461245762242,2099872747397845536,1744668650738157056,2801879507869337520,2051430473998271772,523557884448368504,2948602245848414736,800600759450787240,1982952807258651560,4535653143137177376,3029687948349200808,1248417763571504416,1515903295631851548,2490516477225409248,2430426193719439272,2089740548920077696,1427697269013316098,3038220914684476416,1957612609775743200,51301916486565156,4104331249685482560,2503423668901405824,6484108998075205068,1561419062322532856,1159862051160925332,1245488471342705772,692381544755956864,623541327629194140,3551532636307978608,2117292086743130800,1965993990036411060,1155866443749646272,624966287631577752,1518228341117266152,1082501018701295328,3552635796788791548,2934596133300431808,420922366699741344,1244040260854409980,154906774974675684,774567463330402740,513178162521566132,1549534073419456320,4816345127212368246,2704623637472539992,2933785495958244480,334603128522632640,4015411684253485440,261506679358279248,203399472057730452,2556956255692179456,241795338212254350,29818429461118110,536755010460099120,3578521946367823200,1342035522627051384,554200838035794128,3488137676862931224,184129385990320152,1396934180825278128,5757627884068459488,5338083523742117568,2320447359213383976,5199352344658780512,447098542986453624,638739912358451040,1512073257926787072,1918204102369239516,1566752580246444316,4739847003053093568,2047142058504381132,3573724829396582518,2494497415595854896,2502438075553262196,1779348926437134480,3055641555098453328,175828385387119032,742760978845695040,2041942546227447828,1100939686336829196,4049308632065500368,2845251783872906760,4301394025228953120,3641963690182044740,189535482297276030,758174827422716640,5131486720365365088,260504824216043832,1302580644168047640,353001516783081360,1412067342889399680,5557485398973890256,2686277248369984290,1080019338514826112,4538746620848918592,104847351873323658,1048519022317189380,818411281372582848,2801183501917589472,2782171626859402008,4590621856888130556,1865192886954175856,1731407280857797284,448867095657690384,1683324669630499260,1552060345122086736,4059042665172438336,476616370548314848,1542420399885856344,916467921267570432,2761254546566387300,2058581246524637544,3305722655434991616,101520207880870860,209048655699867984,2390561621202170880,749993341330579750,1704755923896012792,16458839129742708,987573220015728120,298906210837388844,332132430870131760,860025335785290144,1043788524597787122,4107861837879333804,2758510972589849568,2143291955647453056,2074187170824220656,1382268754760168784,5167342852566189660,94437443185125696,550490822485832712,3986213351074069038,327587315847157464,468002200725068680,5810047830380018610,1311602058145476,2914797807822240,14574621912724800,728762741122860000,5854326166629750582,143832601735094592,479462826627483120,6070161986725498640,968391817562714778,7256365451444063196,1594225282619783264,4231747487083931676,4752883286606428704,2315174744439266624,3773744610799703712,4759418191423845810,1356934260060880368,1297819211030380032,57172230986580864,357341964113143800,5003004796230949200,685826444006612352,1983239795810580640,4413326100593693616,171155530508495124,191881058207060112,2878340900068909440,2273608455956875890,307475480515510906,5207468400353685312,90915883731967248,2272995832476694600,4045903330215554640,1253080496399373504,1888949206223224384,3408001588319943750,1401815312646478128,1629764084782285824,1748932470983051352,2940035993271295164,350321811715516256,1501444424786209920,1235070518243705088,5883429619409526512,390008501625589410,3120203580611983680,523610666902603396,1923159495631808880,611877386742362856,2749370952788627016,2694358638297009000,1072811628886974768,1534604249665914588,787807271342358432,199549227952137924,755565224854986272,3253541527604600496,2275975506083539104,162962771113936128,814849266071975580,578120693943122628,2780410158506156592,2353987350284621040,1104839475358582290,2956728614660157480,497931255432336312,309547813966970760,3714735214341038280,2630035923860598090,1615829850649600512,6416379834264998016,5149729430114360742,429670009643887764,5729182478889967680,4111548085103831424,1128195343450958112,2089069597013415904,2189214181711868256,2460120808555472256,258338125742796050,1550096135160936300,2466679762397447232,1307879497354311056,242464561727750928,5455689803414892360,2354794432724203296,684872674119939096,2581824741988772616,2241221779963959480,864332059073212920,1084798709154648960,2534579201946765798,385721111747340198,1849311981523888848,1970988316510425264,197550132702545304,5926761664757706960,307700066079699744,861199801269470496,2128798302869848224,2296675495816673540,2704822274374444800,1093129584276857472,1807077381415398132,3145430362502235294,2271974717436574968,369782590270851648,910143432999899088,653929523216424708,239334820017639408,265939142443402320,1815181811405202096,647265844691754592,796357745019794988,3990861318676824432,981827964935461464,129229763983945812,143594871602233920,4999155963355200992,571153078602114426,133874319535147944,334700355753925880,919061498127177216,1889376977837201526,476742321274252456,3554061354480165000,3703441575260543472,985262754165543244,57710794959042984,3462798318770738880,363202356492552544,868229512300721826,459392026241691198,5757818512488549632,2816541363701071776,547926350814185544,608989969705326444,815307089671465704,87998627850246000,704019649547346000,1227052725310436004,3309135952048203024,3862098886161571776,3765584787394310790,1562303900300786034,4254740386624668192,1181185531047459864,1377788441288628888,391834872843470792,2009022990431328576,1791559700478320256,1830723484154740740,3298698355202017152,494315152551548640,3089604135929688000,985028220456219972,253017770199172920,2024230241796650240,556859085991361352,462296608266651192,2745533942752770544,2541350571033966384,2659829311599162528,1647290590080259608,2459033615413839312,1833653062796315904,1560812369132069100,2932635918959590824,49658506576020552,425662866818915520,709468987674835200,4137597434423762064,1979450135729045298,5160284084770195392,84462570504481752,844662467406023320,630662563052457480,763523535742279356,1582178255000329480,6522096337143584526,5184393276466822068,346042598032269504,155296963786960188,3623753555192412180,888960807787130844,3660142624344837708,1043645971635090432,898996615929259936,620407451063756748,1526879760974430408,207849961117202128,1353586947910041564,2660938085212519500,2929996114020980960,3259524681587028096,48497202803225790,161664380732226900,2155618922457408000,505610532269480424,1379531424264258464,289371409231094388,1355056267796143596,1383193265206417632,1209863709471522636,4658538370933204992,3931457512137589368,297332362126361580,2122641382902182472,3789326733266871936,972093956414954940,2297582004503067552,173450190022990872,1734577430579020080,792742033387528560,199051071213227404,1084504471613127288,1784193187654889880,2790595645866004176,1313667477940745664,153313876740612492,1533205536083474520,667028438585739792,1187864733382274544,235759850349846358,4367799837071721216,6086090828507611392,273500591729452296,580407590460741516,1371409856417455866,496341586915166080,438903629524895328,2194613733040287120,1588975528975648096,1825628763043919988,3412246032359411184,2122074165001821648,2895597600352157988,240416799919256160,1803204544177363800,303144822656645526,4682193805818465552,434103295537175964,1263135245841383952,4857263150280124464,362801276155630406,1097156658858672096,789508265305836672,1369954223295918928,648625726327598784,7164041022754423236,4327934945030405184,2833500894588406548,5147188022863270800,2891937170735387552,1405390383377003088,3996087566543462592,297910303206343572,1416304909418797728,414924502109179104,5103281930237142462,1547366590817030016,1174603404858791328,650646097786071464,5550821119007558226,2333976427171798488,967418521150866528,1964831364058721520,3985520266559725704,1002397042422487368,1486783626800346840,3669338334785029788,3086240037010667856,978077072792849904,6508726891449105312,3145860734851529888,1029752558834684484,1989558094811353152,110409033714080784,2208276912180377520,413333158939596192,246113880081857050,2461246067303739000,190194239866809024,845344575633995360,3356171896365623412,6386050329394141800,1678047847647723096,1382188689703851432,2244620234640359952,944967326927917024,3194865385172065800,3346313149487119590,309273699104838936,3645575645143206720,4515707439662835024,509936579895460806,65007369905417448,3900612225710445120,5451678691720165296,861281571502562004,1968700810852472490,1104657999393753856,3706090809905702736,3173431070379213546,3560853147097457200,725036558700327480,2479431279169843152,812760362320417392,255753114615980802,311908403379123792,1330879720975626168,1746914437517965344,778525454867509296,155165536024619924,6602882705779784832,5544110729033366028,5015133135466056774,3981328442200112256,270420456524577696,748737679347331362,95785198285830186,1231577679694309560,4951120664823282504,3546853041483962784,1278874214071943622,190119109871237376,2114231196736131264,1685740523127401142,1415932927162156128,4336691062816838736,4753076405710694208,963987707645581568,1545301753878473784,1790593287767756280,2449680918062151616,605778081333981534,326062931519711898,6432805063876092704,4026137494349715696,635311897899189456,6924164109705290862,2902974119431054704,6147686359014519264,2191010647108779202,5381845448666321232,174191594675208984,724978104743489856,1298883813062004756,3684339523215872136,1042972914431531664,1195853929762073472,2480770728044489916,1598446733336818464,1440656863137340884,1257526592367787008,188541423045742700,1108610972271097506,412238708729135616,73089484270493580,1218211215063133500,1594208360743230552,1187314513457220632,991724920719482160,1375588996219661472,638804811648119328,5440334231185959336,3536129435333617404,2597414165980304656,4522978619263926468,949912755266836872,3815935109385674440,2261262108994891074,313190644274704548,4176057466851669760,2691187903478497752,1588777572540679362,1123344329647633512,2316812511467611920,2660228749401758400,2788359825171126416,5614667495081424576,454931086417391232,3129083311492324620,1102912711307212410,3154013549587479456,660261302777043872,75518603186649984,1132828483866668640,4440620586008962584,87634042258565952,681627853441730160,611899002667630696,4253739739927425396,2090911457980141728,905792939141353824,3895823271640802838,5757290508171842856,1950033230727892056,1505772089670135816,974489744822320314,1713133977569591034,3918074619017595120,891094602626210928,698816550721604260,209084504844200892,2689735394084498496,376291039677200700,3342455651004286068,5343916509764393040,867612329942712512,1578359602159195968,1162686855643694514,17904636433471192,895270903196750400,147327410295449736,651656268833820538,6883389128196095922,1011035851868341296,311653287585509160,3740002726312623240,1441737886690507878,1393031410032105600,389994766543032648,4285688427947348352,737287696612627372,3187484732764575936,3481112330585758080,3085013342856984704,2839202400757652280,2236636472375069424,55796468319012612,1115978093089486920,3878283756176863416,2123374292670643764,1997243523766840896,294635059595075340,589295851035232440,679566294162618960,3220105354009518744,3454518641510611904,821756456454681480,3273999270075264384,3208288871591960576,1850659614065144178,820144043178166332,809862575658370032,3469117102360023780,3202999530550826292,2140606893858012288,1243000280839828104,2555279343341300736,1152887124477684400,4945288794204674448,420554125841524128,541870403753225400,480229161143948388,1600833788306554680,595804070252954604,1370010365192740656,932154985257508728,3187119451418558370,1222353991567275696,1045334523657094236,1336828940014093092,262954586934144156,477678387413452932,768816672367366344,1382756199984924570,2358998699502052656,3346076187068013168,3972163495764622680,93027580236997956,2170738365864092360,3779353090508979672,3728079930170272992,383033074168008208,1605006200607302088,1220383252917264528,1544675853406029952,1231515094730838408,606868274607238314,601139870521737416,1600682046754124664,782167844655520608,1228724099899709424,749005558998819072,1793021171404956384,2529789849207004790,1901514928683994056,5570430240924808992,2946537920624941312,1542707381943387264,5032227519025371576,644691193243095504,1351076468172186552,477635050864354212,2302776436925146542,1782089449517915748,71954321659102872,2158723982102026020,2392615085473594656,1667023497800905344,1302748323869510496,1310708822483349900,1069689979452488592,2794202536548067736,1384147174228273152,1926674125770637728,2944733891688639848,4569921514940392224,1336849141240730124,1817185926504055576,241160427243051276,1903238623985111820,3539696255679886064,526272231601022940,1590926014469839698,2488591976748082688,3108276958431714636,1567359936973659750,2633912000066109416,806597833701221628,3819268418283334944,4107252985639094466,177065897224565052,59728125152049768,4181151527362967080,580046957521478226,282077693328651648,1374187678456197616,397011642061494096,995146699297306188,185350806837659664,1441680410482663680,2853924914467923912,4639257282609773472,1788593142083032476,2514495021822906540,290213715418459136,2176698028024369440,2586096418666274496,6137993708940989592,1682080098237918144,4051008058084501212,3327174978764335650,2741015204617040904,1220627127482940672,955081981584804246,1408667515404202284,3452727820211684352,1100302107944457480,542276479934344584,1389931305045603588,717784254627642764,3952592604198812448,5491725035048934624,1756144108094868184,199493084815991736,2280020670852192960,1108636611009200922,1939995449143955460,1144796084044575552,5336589693474363632,1447330349075639088,620575173674502624,3622102413354923440,2510199426596783328,4371025407271187598,720938187097218750,4734857319005961792,639836163974494080,1357277798906319822,1163293409324235870,5114838261426220944,3594683323903135240,3420625248490504464,5154741325635713028,2976329175076570432,4924217109707511552,6072483780408971376,711419613969594010,5357134546144435296,317457208489651704,6836568939995926446,879382727244252612,1913678608906823724,3505742412595341408,383910268799067696,2879452973273030280,3957169921219106640,5597482165177474572,1633545290249723538,2385066459493443880,4408930633042702620,2509010842113027480,147639679124224704,1968615176958005760,4683205621272797280,702327769662904872,1191164390975075832,2957902378979988924,2404607191955979516,2799415087441261920,5026461417376610112,1451607705379413798,3481176769748847000,1670491113644538360,240330783992262336,1335229443125308800,1291776144301253268,376090392156856832,2007285083369814492,4009874795893244124,755700345163743744,97593397765172892,441240994922071194,3209675270315095070,4317944162579890164,1462901519171923392,341248035380303572,674231330133262944,1207041764158307736,3072395461011323496,291527387240549328,5656300699540392162,960478937259786472,4592893137177101400,5293685802607055994,688988066824539902,929444414667549408,719701179954900228,1684533718801005636,5106229341622439328,2881095805720985940,1569857284229346816,2681213002592238954,4094704032081055008,280870567626686752,1724049579862051452,768478885493351088,867565847456625928,1527988224933823824,685551848417538336,1876342226448421284,1275053556135639228,4525193420198339328,6089481910425136896,377768439305232624,3004322091649186518,989960817494272540,2336498348497463232,240622041709093104,300790719342597020,2586052956491774760,571373062930146384,487925345421672552,6231705954984089184,2213259937492550268,1341129546848243504,185962852428358212,1239806627318792880,1541344015224382912,1593346665492668232,2947950946218833316,1567232735164251468,1080285465198974076,278114119848401856,2600167735656500922,1983685944029824710,4508797961255498064,5001296033007420768,3483033051713079504,398293430447202300,329547486043343008,4012498486608048120,1091324939127914724,2350940064490031720,2185364131363388160,1429611624427722912,609471800223044370,828532659153517758,1072050764821246128,931256432716600240,1399017352241355336,1343504472791821104,298326476461007808,2320418654846550720,6563918579544324144,4327874294633123796,3364516026636416784,4944307891695176064,2154266856055358748,791464256510124132,1288215121984009488,3597868942081392408,1044479088648664236,231578994735446904,771963792400484320,1629267063506487552,2654903915432916384,2440932667328020998,648591125827763256,1985336601777738396,793406939234198018,445225399114241142,1458024023301918300,2936919289933242264,103722092728650630,2420288178731814300,1027578817117741056,1356535999913429124,2160280972667915460,270929820444706724,424070698383626184,455452415613864576,1960282107218111750,4723650183730942368,459459704764302192,1531599444752528560,1477966980502960218,6476333174706118704,5409002799999743724,1265213828434918824,993138624049057416,2929849253329944990,148337018022625680,1483435171531289400,1404259767912432354,2580161312285410950,324566543337847776,6318584636784749824,3204173342861581968,1345554360944308728,62544562437618272,3127365148021759200,3377291684068658928,331804013908851300,1106061843614694000,2121258671748488256,605846139465482776,1058051765452657428,1737578435742249984,1186602810001174284,4349060334402818412,2646503545906998162,446371104151200632,2660234265031313520,1364522220908676954,2279497875060563340,3249617934332430864,2840753843464583160,3958911002214503090,3915177116045124816,2752542462456689712,1679992068826586752,864188678010312072,603922190783194200,3379023255401315280,769628483125046568,105200636591678490,1262462969880850680,2614624230810163248,186649062719822400,989998548315022440,2802942172249779564,611438195221026744,1369387217564855940,942386160138014952,3435651112902144840,586671020145385152,1432855122828068880,1448395887887323848,565372510874620408,323030070491568672,1452752287163251608,586277360412698004,19697284660920318,1378870370051522040,900692938974508704,2986958028613707324,2411820492744388590,2626250207979322280,1457050191654020256,5309410689778426476,209137606481854446,4182935507509659120,2035889484298163424,1209142251734925294,3449231122844497980,1301174654835129984,4483536315949007064,2416110953447361150,3215564760640878324,3124835428937417136,783047952344362752,3757436891771542704,2078124936681180040,1094132124095754816,152498630864302248,689449104465395098,1258005978439983864,2127069300920133240,454530925610833200,3030339045067182000,378659329744751874,3786759342859642240,3157838893241207232,4227179049357527088,1312882919247451706,1222128910122785856,2554694778851336352,2138839368538161072,1642131493056690174,914616821234098368,1570060999781115280,3483374590901606472,5519609106887657628,1795633008227912820,738663669250609968,1579291426891975752,2216628419040253332,3140102452583742624,573466229155385856,597244468614025914,117061933237547946,1670566570841984340,4157487622944652160,1571326439572780068,326969807960559666,6837561629052971976,334781794925284860,4017557753686123560,5127940771607544,136751085426120960,1025678129521478400,321208118520865884,1784567824638845400,663903062915859072,1617114775742227944,2945533226575712544,2335523688943394544,825174754127457332,2152430848651915152,3341374763469814764,4111293650393935810,99945827542300608,124937765209963080,1648269660172595624,4627486757246422536,175869589296787812,251467579602079008,750036382344894,52504850198102820,75010219653486400,6751215956848572000,4802449463902060704,3256203449988686582,1389782459045812860,887930371749378240,1504899562691572140,7493313992819059584,785353947119427816,2813736451777027596,4901214579217454736,260858222489053266,756935046297038752,757028658447445608,1217084093993064330,2274003456101274864,294246555445764096,1471297336569926880,1301662772332317504,2957790345090309432,4129402079229008112,175777841082666944,567467070931119492,1621405638823710960,5050547863911501336,1161874709551340928,3891894712010777340,473850988765400724,2076385600889079984,212373105266755968,1339339947939836244,271034368292161350,1553402951243402112,1056961767646411712,1134110230210431342,842609840286141228,130799915027182940,560595668036169600,190767595609414548,229719390569788132,619180785641071728,636846029897628312,6002802161774727426,4775404137632113068,1626070255532101296,1416779079980405152,1479930273443294496,2741830715896954176,140064442645759232,4202117726535195840,2595907996578816048,1098246767668745802,1211948364310991328,511396233234204912,690753043124004744,6907833661596201360,118889519110302072,698528122090591416,803479208746446936,3995470040382028368,795587236463301260,1590978401773993248,618150013565725932,2419518797457281424,1514121246506265264,51959321943334848,148461723257996160,2969364826341619200,2109080026311015456,1238276137274688512,3452029253093323692,4987060847611106376,3625143738965940096,667020925607221776,3941651953561955910,961577247241674858,2052738305243544492,955151396756721792,353533826680132054,173514509852118084,324947884312643328,4874432293094340240,1117922616406950084,2912022535363861248,2497237356017444976,505362749966205984,32657191229789658,373241432061005920,933144555959198400,2769649082982670680,2470682386917630420,1508467606461642024,814871800951482864,2319885365072743264,2261030479493005728,1616830766362386144,1543221201229858896,778723313597497344,264501176058510708,1443992144259773898,3035837865111813300,1096754404581513216,871896634946745936,4894750699826489712,686343345986586456,605001728680450608,799198148340541830,756937629538287198,5860274628048655304,797763430727018184,2822587855766538342,1997215650853393476,6125456080928809728,651202875682289568,1628078699618607480,3385976726779401996,592372820709619488,184190053531554336,2148978351692752860,2720931428894484090,1950223517392834720,532432286997437232,1088222756533439472,1165889348159819892,517838559051278784,376338341253159792,5645323109602633860,3015818798839676688,3205737073931113728,637977393096181664,483397681501348758,4976853001192076400,2917484182507416444,3571599536181900960,403292518669568028,3977064693177756576,1461042603979839792,2822125809221608920,2353783439022263056,6627530009276369568,5600235489009414048,2324774870053302096,437803901191435152,2736394608906410100,3325143170537740288,3924361282388645280,2098564682874822096,848649428852520546,699575023677970188,1250830456445363328,1440973460497184948,1839708641179139856,767005989163043760,1849094762971528544,2439592825498588620,2771781999475411824,183020609722554384,430583041049431248,1775770176925250802,15319208930957702,612795285659137920,5508222855421774944,685315686028340020,3689628481427536158,418592169535209792,3245607045659874304,3411674487460665360,147295592496138528,4419061979838654720,1229665217716696896,1690966337201489586,6551778793986031824,528589671191670624,666879330288380112,1070018613320097544,2288377207778463072,656690817955203648,751235281624465484,4556507151078776952,1681900790482401456,6494259207808883168,3638289685011921744,1187511487698292632,3801372177391072752,3180120592467806640,701779446339205392,5203660673248205728,1186833404114882412,90891824004373392,1136197743085095600,3499729978726863288,3826478973154042140,255971647375538960,1023931599514164720,308224633637433816,1541190917239113720,617138714848387752,2742959312509585920,590969494907369472,840328266952417716,5000704109357407416,973019847010021536,2560268656270912680,2912091806082633228,5024657889203525600,729947843058572496,807325291870264476,466493120408375502,709773300967717824,335570691698260008,819815066733129302,1180116868976645004,2484956914420972464,2697728600134380224,4130760032231180910,2608369616454114984,4817794018403310528,619563298654433016,374014076650448748,357581033412737344,579283898300047728,1077841762093975032,2111172045252101628,270911167716658392,2034993620274619584,85978222745299808,859820035729337760,3441507836055360282,2200012881198983880,1189679864024211840,52058958571392696,520612479369179120,3718824101821488000,3341803098164528160,1520453580823086844,5826744883084428324,1414931996384032104,912496508476982832,3015750159964249452,5560419064436453070,1953862777696927296,3585411887220505020,398844499893230484,602324161213178096,680592085015904124,879680453434686288,2870391039235542326,3569234678532336060,2188207811104362432,259983437436413104,297222475526435310,1188942195391652280,83038819642419180,498254833039598640,4883632500452148036,4649008409977547394,417212733173163840,7510159535950084320,6487143426823440474,861787645927454376,584729640318810720,3654721013296424000,1063017502014799248,2082659198717528676,1858364332269392016,1578387363946698888,265405429379910582,74510903058807116,2607996333533049480,2014210559576012544,2443275098901811566,3612365933495299974,224465466287176704,2244753414953284320,6309059318673120432,1825935738147812736,2934562026225982680,7041018770817620832,1156754365146559476,1857418149320302016,5007749843995937664,2592241467255810528,4874529698647183918,538201118196934956,783024526371865536,261368219597569648,458721666838964298,3117125226597551730,494330013628595872,2824867226810016960,2206952173142651136,1496046638353342418,3964515855750163584,489061142523086400,7036199951963136354,363456023022484452,841817472377767872,354061746784134468,438820969660406388,3070693428835595730,1405319694002466396,2791926231323409504,3335723374494339324,466913752405852024,425098010988457440,60618749155797780,471499909071939300,6062408474837751000,7139851420488273252,1753171189800042144,2249166516311399652,704667420779214024,1142105047788405888,2519257110854458104,2406168161584162452,2265439944866743356,2272258877232915792,2339554091561713152,2509698912632694680,5407997054173284690,243083136248389008,3241251139150587680,915578198062389444,2312078776541280810,4525953418163051208,2239549712188301376,4676867740787180568,1467145748668925252,3228497350494810912,2258918258775640128,1645856422309639092,968199243665850570,473384563913848032,6004446682252333392,3610536363966033810,2106634452370608660,2439818544772417536,3376388941233695604,1146047975514433260,1259092493075527472,688748178469302216,171849951153775488,2148218956844956600,90180477761476140,3156455675594667600,2060077921454272160,215565789484745226,239528088709036740,1388794466374691056,1120176516853580544,4397702792119483632,3543562443298168512,4279100676115570176,1225102903299793320,6739876699881006348,2049083929728754776,24227200773549504,484565349678202880,721195257210108108,3645159594386811912,646579603362032096,3564472492199953572,5023398081075531300,713190969298267166,1617362719736500440,3407368757192283960,28433865583756820,170610705769610520,568727394791827200,4638692766330509888,1381417168066489128,193079639245000368,456187784688852592,2023619006557603728,1009816066351899234,6493464424121171376,3173060068258097304,275236365084206460,592885883280962406,546121628671777584,1405177075513726176,106172348487328512,1061770242870760320,1387731191215523868,2230982748396690176,1166036559118479060,3141690809753672880,319963886913760006,3218990831306851260,1422136266376322016,3842547081230306000,3257178841158761340,948019822978384224,5432946455539592748,142679434112643444,3567142960759434900,1581235892096025520,5450544827830834776,718745945040391344,414587306379051234,1842691412114242560,689044470217453080,282372303089840736,1764904631874571800,837107286982096368,3089593581520124016,67063578098405436,447110214943058640,530160083455399408,925702929757034280,1312629192391863852,3634102179420031068,347355068620916304,61973408280016416,154940345943120260,696463991523901374,421752949298942112,2764111076391380540,2868200377770965328,5479819443098206272,220598998955598528,2206087175651420160,6702969053667664044,5594438534330033928,485789377581564144,3611433562297734240,1583263242868720576,2177989310651437728,324234809410038264,4091333724246599568,5065132483232523108,759776510232844482,768925283862229824,19295172642758868,257280304041009360,3216145501432833000,4103941013443669284,2036726084726197200,2436835273785903354,131412094841862408,5256715411088897280,593285987173290796,7280847947831059512,2825490855428065902,620200179624589464,223323550755237288,1049973544849519872,499327171863612432,394124084537962704,4194148250168715072,116971479207414964,1577022732987472890,590986132452092124,4700995191935737344,290129066530614828,1192393714839425748,5009585662438373568,3291939467101519860,1805374200994184214,213227289300910572,1776972387308099400,1081182996806232576,2980573538092084788,2775091513728516840,694563557146091136,1236494789564799996,4671152094993596622,121222307571460176,2424553007313612160,534597603937178544,763744523431899780,796860482941317304,2180642361941013696,1282811470874915616,4490140609621169316,1925309954809944036,430857231738904476,192333121989630000,2885123995627162500,5756259485883360762,2039723091636489840,1972972065739606776,4705234745457157488,748397187996128104,2557837578445976832,2026873643779712640,4418421383126004324,2578237035636398928,2622679362829663008,1699290473352165516,4766053801973934816,1285061380079685984,1500980912289750696,4603738281912732144,3511086435399891132,5011628991987445128,1245285762971559936,1090128739979173128,2512663792408269632,1144908929959764156,2350172254775829696,5905673737958322944,4257133571190539712,1469744891672296992,498168468961217088,3501704949312072996,2326063855239000060,369966461500591010,1095134390564948064,1178172064885379256,826590595349984514,556651419927852042,1707148096898833152,6730071403740277888,2809285417641225576,846599127946984260,7528137412366575612,3919842673688319552,2140551376656058872,1470385836485657392,2707006052490953136,3953821844887139808,756906787257384470,1345592322783452484,2642608840805103360,1282778806372919856,1704544634788151634,4309541210028956544,1217819503586462720,6490236768300900648,2117722602613691952,100172872353177272,866129863355907048,3516946191501495264,2150622584249243688,2779264633199192928,1031000911492835088,76719106840859264,191806225726181280,608344655902338636,624928007043151856,3523153092599420040,368495789504635848,761353678132629048,2466641781530564256,2038837249507947768,6326332825746987888,186397004859686982,1036041665371744416,4354446624584116032,1071102485790255390,1704104293552984224,7449754265944735968,3877708061881050012,780651594431583552,1410833167155752088,2468129084118003960,680274630486640752,6353876660422647504,433480458828171348,2252715354113130240,1917477321064055100,413518032623712456,4205991833282123856,141264427876543488,3878278737103681008,3495732165121806432,3145436443019109064,599330355782165640,280219385559020112,451497839654376684,1619401926678140448,1712569477755446856,3643480232658853840,1245659850296874504,5729600827514845248,2606837939811956736,2554000459310151072,4921307089295648976,962671643480358854,1548212171768797932,31779292835443968,158903474480772240,3178209703083278400,704645425761253680,2199713260722758736,685499978491913376,5094896758409670084,1512045968397193272,1367904450835735776,3290095030527355752,488730223021372362,4712535680654676480,4395364979839975584,2686818871486746048,537627358183066470,652377817412468784,3624481128809340800,1849698421241380560,779211260510207112,70017586659708448,350103381245519280,60909931984654392,304563098683206680,2326644437251679340,2468038594153882680,595275495979611524,5102586552003063120,3810050983656949680,6639802650687723192,494897955125307672,4529992516296918510,897118100657634392,733410336981043200,787895229764737584,265051162433426654,206475868489097592,5506266151219014720,4291984981162381790,5865393546928718418,3163630645804171980,906010143882346008,2188400312536610670,290635086157925160,2179859349106804800,3031796571451733376,2421923055105471624,95800891740784272,319350400054297920,4414364863266368736,1405606399935174756,1898532023745336150,1057186657729771056,79122929821789376,7121377995774125760,644335579941443784,5246842781317106116,1813883154341187312,32968389011957076,1153944548504518540,3935259017486583120,350713886250380796,922525976120594514,1961362137908752488,1785885903043389180,4697974702594623744,447786753912199332,3731721005343995100,5123086571086960608,2607183526831789080,259415844016995864,1297136479210370040,70654638248597700,989208602568572400,4409374266604342448,2036749980996507744,2425102723792086912,1947559900879702392,5935342635808438698,5035175645128906698,3369935309227709952,6870207418616760768,735098794429770144,1808823566458118848,1260759435192513360,1882147739115324240,628902929143050544,2785157908961625870,395089468507271184,2503009650936789920,4157795435734486980,56842484100238008,852674907519673920,1778474060463793644,1630349824258651584,1159502860712719758,2481878537112796272,4794724920820982784,4855151780837872188,1626486006167675370,1328016172904847504,2994281640107992980,4860931678222465728,2001353260803082956,2984684651993470032,3893608642878843504,3063651893518341984,2259140186975105952,1560184076005649280,4773323243338847172,246849108816794128,2595914269302746406,1018558369220095008,5736118809459951136,2536148286792188244,3090678957669418704,2453616115419783072,1623703647511802448,1209099935090853432,6905641365326123808,6865979000830145568,6466591208940330816,1852342598745772812,4460719289586381558,5731368023708112240,2564350901785241184,2453993035937878536,520771432039745436,34983777172554756,310980642364654080,2721200800924951800,3015102177182693304,3401815427047763328,2178791774948661228,348298840348433988,51317889083723232,769802335802026560,4186133798310553680,3553614702597409956,3679057428871304880,3093621952533973504,289966593157364340,101959891915170558,1084773563199438378,685030472251699716,3189353817876530112,953093589408989210,883065979088626080,328278466994861232,3282929681220596880,188085961652687256,1056852142219969452,5803518118131703332,1572919921008063072,2832523919166383064,1977039624352055150,1480685985005214816,1219563952717118520,165372702024967272,413450019178032420,1346758692527404992,4735795616384758912,707904867112893486,311673797941794264,5543672306375009088,23041011892022688,345630447442373040,576076195505064400,2268903766729674336,3349430220069805872,3652563958794816880,1185871031819748450,640277366699748096,1711477975849286340,5778664089664175766,2312518074828124230,295551687120220660,715438779094842528,339884438359604508,1067782552063808984,142603772526612144,6417453304696075560,604439752194900072,1694861704070023608,1130813136656090940,529161857787551168,93929683734738228,510857269174851186,5108798425470486880,1468494296122300992,822014513714120544,322103348727241796,4350677339645364588,1195270478610726144,1255054746026006052,1880061518723906502,3200785830780835104,179238585481393504,117810347261690376,1767233301541664760,1724746674275824460,4244806009306081320,4125531868303062492,2422169765239873914,1627007064095660544,331961807687005476,1437010973243446548,660874629989216736,4850071654838080932,1115989684363479936,1130270050307089692,3109064499307520304,2086184275648183760,1406268194843964672,370029399855385152,115366001716612548,5191699525460840520,2255046446453625792,3460694898139984992,7701487434386812656,3744893150445076080,3292954828420812624,564603743821498056,659787189710923026,3710678758413499136,299479194136324800,2348188061739157044,3980281216116080628,332321985228095520,6646733488661985600,993448266825347092,627235737862267710,196050819695930196,1794810475176455424,2029167875576849328,732151311015252150,1127824604953745472,1145921618823070848,1559938158766524852,3453231056590291968,2453836094745540948,1455823322941088448,165850350338236652,4740427296824591844,504992671159292784,7575224932959479640,2398806222762226728,3141302082281956032,70648077056441192,3179304014256563760,288092853330767280,1152422358978632640,549259203943564128,1956479440937055048,1318170367970379546,871505105272522848,2917839218826658140,4351736404328603136,266938155934079316,3725037129436952208,2796384672166960440,1998561789990773136,3902689330172445780,3358822037834710864,6493175894614308696,1040612000748912768,6902933466600959328,804199840564694382,1954435483982101824,865364008993599104,2546518749729189048,5300309035061969616,4845063166086659004,497075374271377152,1574588861396298732,411080343943905594,913552269150491040,1751221715282505120,4044804947621240472,1014868468515374550,1739846080974565332,2319789984238522752,3478228209214702488,2885229094614951420,550224975004646496,563547642629118768,1866489853176577926,1334302644537719104,4351189100976435672,870336453453571584,2612816596250196138,2045439345675302178,622035291052296528,4491276633796782708,1276393645875121020,866151781669145214,2205364514015715232,870493993549155504,2901336210100732770,2894882801433503480,3960866966772168768,3907953536753281752,3437062196155278528,3778602317657567730,2953642439625460440,4093243571969767104,2177628072416914518,582692939828385768,2404619492045135936,1963878071032588740,3992401521949308444,402965675229447050,2417900991297283800,219244329010793496,2700403007836421712,1300457971621529550,5163332332321518192,4073413705180388224,6615349488667744290,2654956246409021436,1842547369904559936,3652232750584250112,1662147341591249040,2676873546142918144,1462747901714190576,1022335792070601096,792839381049512814,747949298611154238,1662183077190099120,2789699074182759024,871311941423948790,2310606575479853232,2453350331747442816,550790898229412460,1377737279511068916,1104475863755403776,1450574039108669640,854718825788018352,232702900436092102,2330923418903585568,1782394625218985712,5663295436122374464,605411892370854864,1230386007500687106,4452862929192377244,585683896736681160,622273932049848888,692697499572131196,563998032609460128,404710866215108856,278393651334447448,1494616933352508606,4728339807055194168,236219465880321984,524955371769494280,6438499376937282,450714897466883280,1931720741060965200,2959342831732096062,3346931230350799690,583079722032068388,3556534812430618368,2757156423210150352,2343917707683531894,2484235055347821504,422310020441008156,3651573909378694860,317217277733922984,4971168729413094708,1985278644182699712,1512314398159836894,3309377250055237888,643004846145373152,1578689188499491740,1610584051043756214,763833888042177024,399483253039787988,2001345687707326528,5080409680384502640,1876594334283017136,3589669776924283008,6660993850749037512,1231618166424257112,1829924016986652648,3425533102818950304,4190481484692457536,4331655634524438830,797200278897820122,105513069271386456,1086270543573734376,559701556778182032,2487672566095770240,398872493778240624,122938313020905144,2130670751109012396,53817307780516476,1614590689507004160,813336669471180528,3849124540523890192,3951201465571528710,105770341322462520,176291704542762400,96070300204857132,411748081484997240,1493524664537704968,604878329411979660,5602167416212032456,779939838775716492,850179187615899768,4508751010133039904,4638209779132773768,4673251648420444980,3155667396724642176,69829354215695580,698324451650741700,2607859706775295770,3360250706527571280,524052263489427072,6915836714420378640,767534830044199954,4711196745913428624,1205960594820380952,6998489479979530632,6955683261986848608,3624895481950052640,1967214911616851456,2123992415020190868,528205719786613848,5282291028634179840,541013717057804448,780281450161785420,684873154086595698,2873806082092827504,1068853645718096832,267761804927748228,1190105151337074720,347536491220002984,5085265958726070264,2957730565986388830,3296543675479667880,3684995249966754144,1354289306684828400,3029267711331544896,3339410132709051750,1090549953899354784,975902109015793920,199209449311764276,1436543453272436136,1924526118840359544,560344216229023424,689430870840152088,3388475514410788392,2329612250038152288,3952305634258206288,3091956907485919968,2508504658314382112,230466084382969776,1536508593432320640,1336865091962183584,4920348575494552698,1647937637680545792,1224670620721720544,861854451864230028,2404383654074381388,121613387857481644,339109595814266064,3039580812972649176,582042027829433404,3345060551321310624,2183627649470396472,2926735054599428052,983103606490412460,1586956487372785620,154535073391439424,257569861286061360,1641758933567452056,2804481264020763888,967190643635775768,2241257286880039950,662219896594897410,342047024897849220,4788870418597157760,4881631040303109022,6636998428583934384,3170142936862195392,2708598421828130736,875419094644711470,2609047425282612426,430976044200822032,1595816243920771008,2865111389886658176,769908555179282620,1348813684718723328,1475368991465694504,1406118770866792112,12380221185965280,49523078055824640,1485758144416819200,2158954687819212804,508909158026071704,4908002046772676304,2466608962269487068,947237398352265906,1217840621382529018,6890040625089522528,705233333866529736,139611936439748184,1628878071639577080,4556574377650685184,1692947493968438624,1434489822617424672,1134662417043169152,1078970329911113816,364268804858445312,335299587251036166,4296461678610725412,771571723502880864,813818949044277096,4421742236564495968,1766472042958452732,5356462226466526056,618378733751098144,28995626842280226,1739814679384899480,1308502962583371840,1716595899104383296,3341507563015117410,3688174566817878102,871410051306276900,3991881864756725520,67656543240981706,2706381621404675280,3650765299224102576,4032681744375423120,739284857393190570,5389502359436025606,3547788221185132240,397979006768074368,2842833133903089600,1624691508704976144,4335380700965019648,696264202656183240,4100124713317737104,724815442616287110,1658044600500158784,2498116710976815104,482092765021940154,3778144093918615770,4738229321276183152,1820299362564123396,4713686159849871984,4065437954923058720,1863499267906877988,1238557667282700672,3639229768262753104,292661906014206180,1748261358620102304,2175353861247132992,772169413937979420,3318348048962682330,3772427637222039264,934994955726061200,1422671275246611762,3041810091144668610,5897122881926967744,971866714796123256,1789999956188094762,5445051575425792704,5111947188770596704,2000890423331045208,921952023537901296,1223603601409077300,1938575962176532672,125664373690635732,1501504706996670744,456957798899993992,3654612651891152952,1627808946724180800,412180133586124772,2681594129649725568,2010049405418968272,4232644568965400664,14708069949608676,130744193567088960,980624909090116800,3010777227653764896,4256462113612579836,2884106602953826470,2236377092534128128,299734729785544416,1758174935098307510,6964346387936417232,767579753256870612,4956899964748293376,21666336944535522,216672972240452580,804919741834712992,495888918223973952,2191213000470913320,1106842872578637216,400705882672704840,3205789145541843840,365349714142144710,5845854524616326880,1733729618876262336,6406168954667029272,346132492083391824,2884565286411289200,4261253810310647496,1607396670536923200,5100698401339699998,1484303882806224832,1617201566227428768,125097804056133792,1876550238999075120,2873662898822142372,374823858107393580,216386883902318032,795755102151662376,2679725347143790464,253987113437490400,3555977214413068200,3320958400826472450,2757214959353004828,1075016921437618200,25138987066220928,1759807104479425120,2241988959644862228,406146758852922912,1055500893444455008,1720342215076567860,1300237435133433324,948998320618309548,1025150103323513904,2122881046556620230,55274208004216736,345479115674251200,4145933185247966400,6510662433039023622,1307693625732968544,5255489878473229668,1746480667047559936,2491382388060718416,348770912815845486,4178388822639368040,1600949623298989104,4193909468683356708,2152872485682773490,4989992074353846144,143881979922994536,479627864415525780,749618481546504780,843024412522372608,2710598474281780544,2940144718185246552,1373707956103540860,563641708286927064,384109585262118576,3292513857605519640,1079193154865355816,176137580058949728,293575650288573360,1407915907560136270,1130748366722783214,5114060974847030052,1816328593068213376,3504633107786314812,3492124030145780100,2041781109744526336,1358933263740272280,2397581638104547752,2733975750197089792,4473845391241190412,780378629577257472,541666775694282696,35079978143736108,1754076688956208800,7670154445055340876,554209703942940606,2067592694142452184,2105913863169367712,4187251117839285000,1214693853490734606,4561115190366252204,639973526192341920,600973074367347204,695737551893724648,1095459117086843592,1465266710173395096,5938548223819648128,1346311282227234288,4249250162693598924,7927002539162005464,5840146475834194692,3322963625115712446,148091380574760596,4759013151045690144,3793064534228711808,950275970930359824,2111738292073345782,2148735761713946592,108562972968120216,361892626857772920,294299371595520864,5150467434246835680,1865388376438212864,38296564607972958,382982632293385180,2188569253548796800,759912147574822680,633238483162495914,377453527956881478,743004703774304856,1008620676790118496,4765790866722582276,2545614086691872916,1511261025335997696,3015586957719123300,1419268036870557168,2984885810199040,35820218570526720,238812049996185600,2388226433939456000,3239215339961026020,2414610639739149768,127737963291525432,425812099103440680,2481575575865389332,1766361850895004184,4227969280336774920,3754817574269013648,2306992657638738690,3942005419505345280,7055049553111057248,738510514664623728,1990356019724408784,1263238726992062268,87825741296713728,2342123667634544640,1322004105739269090,3473830565922112512,2082305396231739756,2903747745153032904,624298356231940368,2691294539457748944,512318589287199528,4781432074103605550,4913219595163295088,7316121639569446656,407064647239942692,1874857814576621496,738047789568339210,3418275023447130880,618430428397997808,3417061515594491424,3283248795234834516,849226917638976768,2634685961605461540,826889598726952510,2176152304301563632,272224256511798660,1088945340210762080,338288072399935524,1433619462094854804,3671473148768706432,6291824164088519232,6788338175562845256,2590486509123705024,6095350980168935808,3046264911669500928,632251248231784990,99401783279171886,944699382319014072,481733289488700372,4300047824027135796,480192795275215068,3734998581745280080,193294864428528,5799103254297720,57993605887810800,579961793630592000,617563204687093344,654486571511777938,318450180448814058,3611554982893086516,4269308069609103840,5329765486151753076,4380753430907408610,3017417386219211424,2128739222904880440,6285998223374104224,2267506565894039658,1758450201184761696,3346494322926011904,2498533512392143058,9479016866454996,379177501662516480,173710744699846644,1737184540120423020,449904634431998436,96484488190047320,1447331554022745600,746507533989310380,1028557133050937496,6591833378141237568,2039153345162843724,2909704997540003136,397336802149882650,2057384371535823480,1105451553588822528,1103565249146964024,174258434231938908,4647097827343969280,1859372086382813856,1364064054213580230,1002973543593540048,3123454582505415792,2046005243897540832,1751804283612782454,3457274154017908392,3873806623969318080,387318999755292940,927241041240273276,3340886638281085296,3670174027434139824,2310281712227945232,1714355913821042232,734328672663917736,532877024348225280,872270289520543980,5119386919103361204,3059114307872034852,5772781406959771140,1043683612494383808,5088028527448688556,1368484379544132918,103695580181931960,145337950973205468,2246962250810466936,1603180213765919376,2665561102943711544,6873584864897207616,565606188356768042,2439236359936969152,2986862486831975424,829107382817332280,2298804561261072054,4212349656461121312,6441390820506788320,182759932562696832,1599220403246495820,500265575729477316,4874298649337467800,62343222297369024,3117299502828036800,5283694860414400584,3099210076465386768,1217443914008344288,5860133410868630112,185210792018891208,335202999858047840,4022614584001049760,1824308288497361304,585029332947225300,411794402105019780,7412628332699775360,1811756088925759278,2047025470646136024,4399110194639877072,3811137710440536900,1988702683255333908,1512910908115425624,1681947486031626816,632695036883237856,4358037607134443442,2259791932942657740,1355556084561666624,450291696006886488,3646503491360040204,3589036921259622480,283057676346810528,629044988647636480,3720187552100819472,549021913870158270,43101511501050112,431034253735284480,1472221850454449424,1485908617518310048,2683605014762604864,2020442490625491864,2872535835528737988,2868763124411822250,3036747238359714144,1184104750943961480,3900730213275216552,626824564963924932,603005432391929552,1998204141480364224,1296483988839280044,1343133448946295732,4052990242015752672,162583318858486500,2926629700484314500,1138226867909945724,2603722295179091328,5145456262906977048,351029128193173848,5789901712272829998,1328057516572761216,3395917572807810816,4001105920863124656,406617555651801766,975607620716639664,809731344130174560,1879865338366134096,1356513870123482580,471362814935801376,1917229449122829600,3641341435403925168,1399348879797417912,1464726372414716856,1311929528255463552,5959594019820368304,578442863058730424,827991102870652992,559520370950863296,448570290039463736,1809930087003567024,1887860102825803392,243290891124720000,1284619684190075376,933782299476218316,2643759421393667552,682763999853047016,5819469482158820304,992165066003363508,1241174354879335608,554903686881824832,613384657191518534,5257816307543420280,1403308819467051072,2985271625403824944,1781179626485745144,562304923961860524,619590055549265740,2402994025120742928,5960246537650844592,2541599798182777116,679580680610352360,2315561188910565180,451744725392789730,3048467645664644790,6478493330347050672,28495810194735872,284970760340446080,321578201741567364,2134722758726369424,2523187841379950628,1713946722524230230,5169659448350356806,639528200273499336,2032084582966094976,4879536879088907798,5555263131050309424,1334879626505935824,3179745609945458464,3489414288370498908,2319951843704514816,837880692844412208,1504913971818120960,2233868879194093974,500425954250060134,4674187378856286720,6376007639216185380,1610061872189918884,1747012361088246984,3964711336294968072,2293004307102574352,5256647279397811278,1828605612926134464,84995066955205560,3399953727606832800,2964112136437030614,5803001512926175404,827693216630499660,6821245868551316136,2392977607053163224,397979084207044512,389314009644409536,302499879056576464,663807283846282044,5006677374908791632,5230122082302956928,5728425803141540544,159762256371039564,6390774199847295840,3219849442288254336,6060612150858547968,2879204815535253130,2590364051137703232,108115883681617296,549074444047880184,101656583583294168,338870335459278480,4857639750295146976,4559811992873379396,902540633428195944,3676869928088795328,623905614455027400,848324993277397536,2061585967028934056,3306438400523234850,2905401415905860184,532383905054979812,4152851928471644550,1304424496698601716,1882877963329040480,682559280170333568,4845679352606758644,3541140635918323632,1525557501142971552,1308844015220370312,4601549369565405792,477105412300872432,1654581935142705960,543039704807048928,3620425584076066440,3194942810257030140,286041754693254504,433716724729667808,3795189996753972180,25659549887878308,2309462121806151120,2301788150351676144,2861801819967649008,1905267380253332130,185529607701622272,695766949447866120,3640042769600491716,701791966613710650,720051328375809628,10372498464925056,207459189245737920,1296677560338046000,4762022309674608672,5900293131018258816,1582688474142734016,6010206411586596366,971701643436881592,3224017499216750280,7055846958611258736,718580596470439362,7076681549685884288,4463428795171440696,1658847750556495716,4553661622970074464,1160198137382290272,1395547702236430848,192807939591305968,1144483193930723388,3340479077703648936,218975177679524784,971521611832164690,283618124197379856,1552360068784310028,2013185695110211080,2027273326324168830,4063007064885540228,93156235762713120,621069177568453200,805324581803095404,1765146827754019512,4853883954108794832,1763361284568622464,6365624519205235206,2295734729040376074,3546738953256350592,5801159562605014944,529171031043437238,7764127198045079814,1545364382963844708,4511763824272087320,1221431835965139414,2278727455082089770,200602071717812160,1504582420713979800,2030359712207491560,3976117384032807930,811349760141697392,7209726673971442176,896882027617481166,4265906224293365810,2078965908150291960,4405344374604241728,668582518427932332,159654002911323822,1064407338074620560,5685124087524308280,23821768469131542,204195664628013240,2042047428304665600,5576118435850639392,1309792846483291812,466826206152146516,3177769247927268192,3139201914498129600,1887856345110714132,2635777050927660324,664140158778299256,1620847898332794660,4807870667449716618,1658790543788901660,1365623499252723296,5631085997449192728,4115649246830115540,534811571654885030,834429393856553040,4596648161387997528,2631000398608650312,773574640909694304,2562636050444504160,3663433657100215680,4127040542427128928,3343475003947925868,1078490869873240992,3188117972988268020,487937486464473474,4337414955627147680,21689709776715816,96402996513997440,1928145662454051200,4224604887817217652,3689126308127472768,5824099227663796672,104773138654556016,2619444939247551600,1442365648466181080,7094013245099054208,2939582371568260104,717685998275486328,1754686716522076944,1705929119205848352,1949087994994740336,4296132271841209776,4254283265369568300,1493590598778888224,236365949831616024,1944965485654474626,199304398761160176,1993132618265148840,2205111398856967986,2626358959627206204,4563210620501795952,1857592882875864960,196209582145067408,230219324905789962,3837159385587464400,2196012219066059120,2322990190084356648,3045262857710502528,4423195538326441120,101681698785720768,336686629385378394,1958986009204041906,1101960983900169216,434804027180381568,1630587617399853360,52213714045039584,326350226376709200,3916376888318841600,964492021393986690,1071709649371395504,2286445741707523264,142956307912289892,2622552058912190430,5036884143791611370,6016440302470984092,1344491366000106456,860728078004898876,4138251037874194446,214416437410113840,2144259741049159800,2429345728238496138,3417401093773218288,3547913836062235356,1920390758996967936,1935981073802163816,311969298220336330,1208375100547908696,1620859869352226016,1287862721023554528,6028768740627202248,1432167010503579504,1725864841879483344,2858473862464155804,703574381262188790,2666737857889684480,4017498715246423500,2360073849865931916,618276778850047928,4476368898784651824,422631591802869888,2706872511411859644,288916457912566242,851593509980361240,5578283678789169348,1436175421260671448,4180381348773962430,1013799727698337980,429273708314181504,999991716379620084,1227265688100726388,5573736945519926784,1241334228959692296,4599473750780059536,411983524220743872,1971134502177855168,3150481294710734080,621438382011690312,2705786243701482606,1663903500968468592,4504718892123265728,188844361768970148,371726701238044540,2230459430044430160,1066924142754319872,871073800596875198,4366819020644792976,45027028184804352,450290313647141280,1780982471333120382,492388156469957088,3481457506353473580,1669353826391832672,1139653964103534504,2277631700338637916,6440244078497028624,5617857990314224452,2292885474594442596,1906976174557241640,1647110679388051824,14568756539856496,1165552377828626880,4392853515521988912,349417691679879168,436791547454365440,1472061286570885584,865371346802509536,427727240374081632,534682838982399360,2418477794882833410,1592353675442289528,4872173919059992608,4819517623275221984,3447640730108486736,1480113820373851020,1175438536493537420,2136212278859529984,5587712910960953850,714441008485451548,1569257914186138176,5198676092025557256,324565195885968148,4157406273842790576,1959757759384965180,1370419184736093824,4825632194214086988,5404905104177013708,3152549022481185824,6944350937032156032,3999323440275283728,454224789607736510,1812333294799578384,1760136104825472432,1237412810149870388,2928744561559006176,96651838669029888,1449842093777339520,286454113868171970,136606464235058418,4110578257306803876,183037571407061280,203384129564315700,1934099582524723332,659964742327911264,2855899666899445260,508458801126520816,5784411809289479328,1725616659135116376,1762552298514780896,2302139103459482628,1581681331377355296,2518866002189797376,3770643236474538468,1649835154793504412,277793542414125948,3571790208672276720,2628011493777793536,4438326633811754896,261518116167058248,871765849300751040,3155061629538295032,6365193403576194990,2101414144149159534,5692153226721755508,7762097593142090496,430910728905170142,1334695317884100264,600149954584945056,2422589663274863292,2612001732548094504,1533631120827421086,4471030775601048480,373953368517307392,671590317241857132,5630983078556729718,6334484790224300544,2525252423390472576,1695619633656528408,1398536388006509570,128305772194750824,4490901901712034480,343696034775626874,381901480394407380,1221337543425043968,3334512093943646896,947297880214245714,3094309736753448906,3101129191684733024,2772778036803596928,128801204970477180,644034690040942300,60123049763334696,2405029036430106720,1630032986168049708,3502276066251015240,551105675814869052,123227316429453984,1232328015527976720,3686405637483859392,245407447963768400,981673487016649200,1745246798699526450,6793247318611138578,1514883476769234768,2102579983032416064,5619816693765735714,771856973565851448,843412335444628224,1705450213043844912,635083428840538932,292493573798612796,1693133774285588316,226542501918419712,3398288798972387520,1515646464323713312,348454269266446080,4878576936014609520,1745420114960774754,3084661444620838104,3448196795979453060,1523844847837496208,4645001601354710250,2390167313354747880,2494397525198947680,424809969267652260,1193521041202183704,4413011396252991012,3048727623866660340,3243069743316882840,570694392976618548,152457495926329032,3430446372923778720,1272883157395455488,4745772737944332822,1161725521254977214,658309666625312376,2574633633117420672,173125811490240672,2226002389687200960,3232718376389743440,285125701672269744,6415613907463872540,2201294092196076354,232499781481815744,871912998217616160,330840604205136468,2962162951558832232,573145035201543552,82933914174318072,3732192299304348660,982940551782510304,1726123834345254300,2131383637443323376,6361048902634693398,5357733539943160944,1792500691231357776,735616926133771212,5614186580070923592,3011669378824167024,430778099346659104,1301500298957817024,4086852042954987792,536857094616928690,6373367961279431040,5861849073798777768,671346111772922196,408820110338338476,430020440365805376,1604675713375316160,1861911828253511208,162845147993808660,2442785986547504400,6597024105605222016,26263774171357668,393974154767409180,3187113096117100704,2918157460593308208,1492642636378392006,2002516329046183050,1379572086476818944,5629784543933975712,5051336788945390608,5762691822707831088,6375904447165897056,1742582471946525792,2852305429285429452,1595071907427499290,856975507131856104,1324480024496260656,3954204240070102494,623791031704008192,5795805807188009172,92416155320914824,2464540554815576160,667480219682413044,1180709227949908448,409174146104696448,1286011861497601848,1870442734944829992,3698588833104454920,490154763765477888,2801009098112237760,590714164030692498,3288453752474850048,2231775370844008880,5594338078206026184,2651297273427830016,429980021617092216,2539774858150918656,2555709278886067932,4160315003518235604,4007387724423124032,1574300784727902912,540126102355237488,3275869014468564360,857655816127009944,1310574444159099968,2633470297097615910,2735297705220274440,3372575991761815744,1097801075188975344,8147580132899568690,801768830068557446,4781357040368703816,2886858351166024536,1369329448531926036,1793295078285436704,2854143433282561344,6445142068264832988,2225257534321630254,725165528463261396,7251978270870894960,2880709480415397888,6248921835647024976,2364556849210433460,142502023135178280,4569105422187797292,1959116018066161240,1242291822715077720,353284146529512132,780292475817416744,924790187399335128,71808548101351980,1436234931970662400,837550439338596372,1043271779881150278,482856934964621676,578682384955199328,1678240928548172736,260296507745338812,3904621533464309460,5332702173524269056,1198795796114032540,561497893601580432,212764367898145368,291374368631152456,3232282778519752368,5572410974962260870,2458014893893285392,635237039617655904,3369335959884470112,789339349223903610,3961683824255397684,694141650803002608,2450643647470011072,4922681934195232344,3423115804499813856,1160455849645696544,870762992965614648,1597744441177089282,5124513045162154490,1778404529121634152,4357641640028031432,1423936743069547952,3436422460594857090,880296274197961152,3627560001091505960,821867076541501758,3464203638975177072,2330502986097634056,830096441496459648,236841369533552916,2649725591156078740,2812189117265906400,595203319204150548,871677762477870016,680779490234818632,2973242815927511904,231527407229112864,1157688609900448680,180675024161500872,4435875160937436240,5353879511928894804,3014159046152654232,1881056503039559208,5260850548945032216,1098656698289367168,5197423439759112112,114941817975356604,3448408168595242080,2047102869627629352,1303587173792269188,1330116317588393472,1259072434773133992,2323535067192992832,1482723340850659512,414264574128082752,3107122735446789120,1154012254526279160,991829316563763136,5110517948439147168,4327894625398144440,2972208812003214208,165981781206164820,2323848472752326520,2232050803048592416,281460104945609040,4503562331672661120,630767110954743816,913651796039484348,1922151526166576040,1448382715537487868,688459070303623854,2628737235651786912,697388604790503496,1053695361661017372,3316284990280617750,924709168525717740,35773734720860160,214651972448695440,4293230740764993600,2119891217951836008,4938068526973885344,5156729705412715648,6423784714284854868,3536403837717075408,1095781490003719024,1742878334535209460,2943696353811475878,4670724924197423424,2326388812144853040,1715944074049012608,853116808415447358,52321812315768072,1046482876748453760,2317745006171361468,1052591705864043912,5943485817706679616,53733950884995128,3224180722954839120,3053966549599872360,1033264420211105056,5172711978797916336,73919126892752208,246408069839459040,929439931193762544,662604079783895448,3822529238783552654,7640758483738321590,564278382799978428,324331556674017024,1441537823467059840,5017776652378041372,239346374612823136,2393570410451084640,4032310546375947972,6316864873353956736,2571153939448721760,528455056448285160,3352492260578453850,1469956606679539476,4833258372940935168,503956729892645544,2972771566382478630,3328518311652354696,9151820501392248,549133702240510080,2745790877935933200,3375977730250913016,523601692461202464,2700267696273561876,1150047026676757804,1439210402723056788,1464676479927265704,6015703471351049896,1413014032048939410,221932397638110936,3883990056461163040,41812363808163216,557523031438797120,1393869699939821600,1006639008477181992,414399498968356800,3141593657502583668,7133811050297871504,535389988307972544,6608655875289752820,7876882820552380722,2180113378517073870,2656208637589347104,343767226858002672,4768428797413236108,554009121276115252,8271478372313046240,5233544490630957336,3231267224823348016,1708708463535063060,4510127066511733884,8068930734793431744,2581361485543890264,2719256661335327904,2229939867866855016,72883074729416784,728863233911495760,4351739085538128910,762205554646222104,224053673230368864,1368390638103328938,105180607934324472,380809766318676912,1722324335183893540,3349028591068723170,223075297993458378,2664828737312221424,852622022459040768,1125290107161062064,962940644975147476,754746292095625440,145499370668418048,363764641272167680,4308492945812599470,1443344133378142860,220918926095771024,716600486559605544,3464184288735421416,661320841749445504,1059798083805927768,6038394426086327910,689177666995827126,891757337177389536,1511710242443969664,152297341260649344,3583057081570054164,2499537755928197376,924582547056858272,2757489033229948296,6862142203744701456,1703915592771269892,4656384399539490816,791446406598337212,1571763105552521512,1347817727029188672,787814226336503376,3743515900585211904,191203056835701960,478028952107107800,1186295353153745920,1669352565390136902,50419207153079064,448190710417809920,1120526728883625600,343883086296976224,1289619064993287720,4143948689338285968,359548936991362224,5706434081627333838,5900496874015338912,4438334490807961440,534614644956025524,4268902055984992980,3756018580215296076,5583462136723647744,979818669063974496,2372256215761104450,5471087912235247456,3585263027695286976,549449888584045344,6249250833885466316,4072102901837496918,253187656687541664,6094076094327212784,837490526891168238,27619867871573346,460351655367114400,6445210527475280400,7731708492837658698,2178203329839377358,5083964658816947712,660053539721922048,5775725981553349080,7457550698809164096,2590253035997856192,2265442318815673888,288067293783977148,1920534253270619280,806363505762107700,5477617096533399744,1751797571657130990,2876850867145618552,2779605246035745792,2708920223004864456,4009267501762774460,1776395114515454616,702524166257532432,5092456408913612144,4655862385799746356,1992186644717717064,1604408527975193016,2821197607512845040,2211456721621127592,5313040588192094100,497002995028754892,2611647151754879040,3826422904704274544,556128350616053160,1384498469545515504,2698504429543403976,2538879377471298504,1546871167558145952,1813848777533107392,1179722965555053120,2005149114026363904,2203376984236815300,6193700340688359576,1455695382085139268,824183821943214040,1614985692331772928,1120427193787115256,3356298272881491880,1653214168769645424,622800237434019768,651002048553077568,1865568050031632688,2243716950813696666,3331526033547196496,445744600678555272,5170412058663016704,878066738686982938,3300240177239029392,2029860655033837680,3062019813261287328,4287591723738179178,3817727477545633848,2411760370894559820,2994383771983134960,1224820510253057124,1811218890305171760,4159849420710030960,6146416373060283096,408351342301421506,1811792221204486860,1665237510819477288,883220841270413632,2292367839057047670,5177635002902835576,1784305868244702264,3439777890158536080,2923915056221368944,3452232302716822152,1018383496642830384,684573762053857536,330507522406893426,4101806178987381936,946234801362184320,230425318961542860,3072474609694935600,2101880515101404616,1420341612177407304,237828610601283600,792797392328485500,3353083230540582168,268605255642088560,2471031977829569064,1573656469122699536,626982898724602128,2045627672756949864,3281549484270177408,3010391902629324288,148682871959266656,3345513826817888640,6458646964997042508,5054745072336441732,159937484657496664,3598753909139445960,815428749767712768,5127851044745315016,481011138931903506,5372569944548344512,1733632922566346868,561932914967828712,4370784280326036720,2608136118805311072,2784479037239488752,8036365015005255126,4862134979040220434,2966386611589165440,2671749399291803028,1031300774735983452,495093633377916270,867926985141194460,287955984269204592,27443282417530098,1372225326172631700,3518004287073078848,1608818682288614544,2333994725008761696,239282330197895228,2110100986049051232,5405791223781098304,1303092637598530960,6665823918905340204,876719638800280176,742787102108892232,8237205280244761722,3023662368298095864,285632554121079192,133518574050814176,381498656994377880,247548457452279672,1650396666571585920,2359212644190663072,995281713018239960,743993352415200888,1226703743210669904,1599998144615840112,6399035080844392128,4249639728428136192,644612351955610240,5069712498498311616,236672277340541730,473365670224163620,588245896196018460,3268178542112076000,621717616362568,12434907021879840,93265963073553600,466350618413748000,4344340165599842478,4217631647508855072,3791237111637023736,1429104214915117056,373211863343481240,3732285127218289200,2769949456879272912,5777723626510737132,7019829839563779996,651094870189199568,2262576199759402260,2363145243926166912,3215122825122812736,2248881069120860736,15244317608973488,533574919399637640,5335987236270570600,145899429320905472,2097430963215249552,3420567767494008720,462451750073052520,7399558106371658880,6688353546879729408,7052268992202247872,3610464065923605138,1087325506788699504,7635280007726752968,478308701341526832,1366657259567356440,1437339973647021730,622815092434693368,1384095287333903760,747571645181049836,3728171734943680776,1805046858154819704,606939625579221256,456951754813915176,6621954262436144448,3174095815727773696,1352914435906660512,5372065824020296632,947160818075777440,69000495585331464,230011913870847360,3857838999489115164,3260196295787064096,754552934732883720,292859860636319560,1171491709191515280,1450489538361115368,3818614502193132936,5425090857926355000,261511076208036252,6686125006222798884,7007444301075906048,1333933328872847184,526119172185791258,2319117387892628760,1258774619488340976,2585750130157401744,1531670399107388688,166721317759934208,3751397027560005120,2954590895906764464,2847268919560733712,187024254094382190,1246883994198248400,2456857539217607616,521683357360552268,4263295108426605360,644993201473829520,1657465648906986272,6336380771156553216,849688967298223008,1501424151155783376,2876056347339457920,1153170333998928954,667878234132114572,50841463993292664,677916435172261920,3030303553894830696,309742973798532432,6195135905256082560,734805042612473472,3447259040478958056,603441619840814220,2424557662124346144,2456717703783796944,1376841308566340928,962527653966960738,2372647324304187432,203584673202571104,481055670259211484,665755763611034358,463594627337869080,5563383778585477680,7479700480873304586,4842794038918192632,2269327510065441216,180228041339844672,2252951050011352200,4520549891320226544,86684159113652736,577920182822945280,449066437378178004,748477462075178220,5498738067039846552,2876741803249549184,622936884105237966,4190337469854930576,1775925199912681520,6626196095496019452,792357374749940298,1243652310473464092,781673704688026944,921117143809308096,1192932005004076892,2323218409453411008,1004773855194958848,1647381330911974900,478013665808393802,341254969675026840,1706350995981454800,722845556524723248,803197573182561420,1037870218886750864,3454490862928789320,2150222544815333580,2553207600317625680,1639721326813093800,2735586935147487168,4810856656876768064,1131087766392130392,12419810600505192,496814595685102080,2722480257975505596,1237229539092625068,913926460090541640,3552858300052546992,1698741599712715008,1951313279988361264,537816533232428010,6823312746726919872,631393318133499708,5612635536435204960,1744050925442324952,3000499586564095720,2164093672111719264,5505958690242438078,1722776742622157220,4375260839617091424,3654358817088835296,898052554149154008,5103463755669240864,4957746426172969212,1999115127316944192,886905419281015950,539727895883396088,817641722336592336,651973500947069904,1314251427526742826,618293428659728404,4849632401864347656,2739503362703347680,790161012215866218,4513689547556640048,6558206869160979984,2702556526794751308,4861016200373285718,4873856571927549570,2628654405940355716,4660365985198105440,5104949746701056076,227569376339473452,3034393785407064960,168416365382608896,1403532355807411200,7395807015770390304,772579671395059572,1556901916151949952,569232117098953812,2530033445863435680,675962894107695744,168666247227983076,3725432630744757390,4296724948877510490,354647378837193372,480866725098637728,2083208809020853824,3991579440924414000,2241437952438154560,2754094523861072736,2108510890831190358,1737904868109922824,2883347699650408760,114270644295657264,1003008512029012830,486843838263477472,274924062626809968,7783195522920341904,167465197155695866,5126524739271589122,727076884534082748,2695768503245215744,711381653587860030,4322632440987393786,812316062515230360,6318295851610096200,4340759036477700816,6414100603610613390,1583650751393403324,4521099932154129600,3749931078222039080,889407435644676042,408253826787156192,310899895540900216,560291993818519116,4577531694274039440,6009651847725884028,379121142085163280,3033104531528023920,224627059179627888,1123185434094279360,7313941555445402592,5222627382725631856,7814866988155991256,1735276391049540276,123750369415198944,2062598231408302800,351202010118427512,2725666248048763328,418135061501478744,1830839322356686152,1028512965149698812,3679301830269128196,2149572194041875840,3274863253734144650,4433644002273216120,372369466144360872,1783926024269774888,2543732303468135076,1390626341956639692,1718517008566624192,95757766168025352,40331157680226654,806659164638987640,1600923854774490624,2027481294191539464,2185001650041275016,5660687060645758218,1063239506081391504,594075878647272560,821820673010176992,1700824558524568632,12470953207930848,31178774947593960,935405008241182200,2555832836494123398,50760366524495316,451223402384027520,5076489911936671800,2748985296781572090,1977815453429593008,8308304853232810032,3633404878694555010,1303396127863948116,5079867659432919936,905650542826701312,2751048704306044110,6985688387001247890,1600289402376341376,219640133397539184,917351965892037564,4085118052530919866,980944533914506848,3447481085430731720,1936089238414317714,4374138648058596840,714507143715712416,1471471237318030128,1589813981306068050,6566409604942696048,5779255379940059688,2986995835536124032,846772676350623506,900852322996167732,1981545063990551136,896514694485110320,3143882369140914384,655132064585934534,874906632710260304,1404101903100315984,3582958701832329024,1387840762019585104,1577532242635727280,2213528632131941124,1616056035959506490,2358095241828564972,1156089360914611776,4488103835110258272,254303280250474410,1949943762872937936,1640707758525521888,5675115870367068816,4379968195467035556,4614936505345725472,793483384009351464,7053500572689342720,1476816660727663510,904024073231962992,915587675645584320,884251818705683316,2236393351500626682,1061162054714607102,695968306548277164,2308408561566052176,3649788187077157104,5413819407359193292,623849326537286016,5511143842419434292,2197254622520390720,2419969921107464736,2192229752250395664,7302067357944255336,1599987265536181932,4168791298022965530,1079373125089977344,2409567238620777384,2702723952620119824,4995718403981738664,3516770193149666796,854774304704668800,34162444108970532,284699746882676700,1138849840498420800,57412723745360376,318973819548511800,4465832887695286800,691159822937723928,1098305726861374944,5945954851502398656,8175622885998756912,3297463391281553856,6787984720870705140,5422377012857877516,2006805162970938744,1099217821729168080,4255547814215024640,2768718009734713872,1383900034939931964,279217634613236088,3579617754774356928,1232334127365864678,1251326942081113968,563961698386354008,3688795470959062272,6139882529727362766,1078372110506382468,5090233264969127328,5350816267704136944,753416782601260932,4599429987553207290,5254326936344694048,3491844182868552192,1307301752917507914,2755097193164659422,640061451692605464,5637135936222333312,3607227507045200094,210364787040586452,1842611651564651352,741728574586458160,4271479956727874352,1182868669134545940,216568141172784128,2130774886705627584,6112571686018201056,298564861604331224,2559241675570674240,4194468674880931008,861017990728334856,547497919237713246,2433432758608751040,1534094304785789472,35017315186435152,2451321535855473120,1954492228511670804,813916651761224544,1074785279656200768,3113091703074566150,3146094883622594304,2950518964910352840,496699527092787810,1410519284496192396,3593326541976859644,381012367984434432,15733705122752208,39336019553795880,1180133291504020800,917117872782585264,718900640411604228,2226619786102048734,3065467357798359312,227115252107870016,4542507914056150720,1846887742202170140,4728979924597621728,196940427510051256,269038118707889904,2017876011296980680,2038691800950899728,340738146971046960,2768374008779735310,7023163015075367970,1543143158991299712,78562779027247944,1047550506131523680,6443961713400208212,1498465665021727188,474379860473336400,1875011010843804672,881061898978816344,1719278550464263152,1105428782808960672,2305228260424468950,557817074712903456,5578419896834451840,1859217721089651648,242935608142451414,4729021959311217864,2472233320526529000,1473743964652726240,6230880694668026418,332045143677739182,2319676499890629620,3322016651308238784,3434800967320888440,1627721452860920784,1169635061737511424,1041655196138396004,4304362746570328974,3908239249972622544,1597304525881584528,1123129057004893920,5115969935041176540,1810963721042062344,3364445496090818888,128077866708230340,2134726460311045500,4123844423263623168,3082580359470775104,332946956585329152,2497213714588359360,4201068432333183264,2314101704819757552,2233310104906697260,3925134787901300424,822982180768310004,1208493999780488608,2584220891245891584,3333928609885767498,1688837891115072796,2451784712159649456,4908014894537274096,6174917240652974970,932696498737424490,4559464122952552380,1073401461713478192,4791228693751436880,1068142555911728352,1525935768907801216,7627553360540932896,950315661202425606,7349165632081714736,5413936464399007908,875856196068581952,288112117126356890,5186249769843802980,229130772136306848,2673311754735003760,2467291973503896,74022065683488720,493502482113379200,4472054651963211648,7367088295344401550,3305244042981339912,6631264448175093840,4122310251114062568,1324235449909528982,4686428619798043590,2345456247253795548,1088068524154854528,6011858340265650978,2852635127448121092,5497296308956906032,4553547654188293728,5507265577204754820,1170083715830731452,846961891558218576,255009388110376968,1920426094005409944,2013758971968443868,108009087915412992,1080139130058830240,3950306763451014780,517993350208598544,4077027936169483152,756203666990805936,874754723701875366,1471442494690176490,229912844546214216,3065641541651961120,100431809587607160,200872592553101040,487774690676107080,159359268228591552,996039921801696300,161303898275086536,7258999699843640640,2095824028462273920,1841445693092918280,2445804517180988874,1010540612547438864,818566435616322240,4899371629902619056,2585917529234818560,3522169061772209640,711631670762569408,2668737987054029160,869256420567034806,143549131902490660,861333270378384240,16334371141093776,20418876117466340,816791534050521600,129015433384349688,1334567697333535304,3267109636535836014,6727087264351215936,5289540599555914688,7736734222577278362,7539883408553005344,3255347521546155104,3870227672147668032,160322292473701590,2137726069333339600,559566448551153780,4864279264929267120,450830211610078564,5440003556888468736,700899573531622416,44118541367818276,1323615374484683220,2332244152786226688,173666530225276176,868371446475815040,201828294225730962,4709537269357309620,230724514831239864,256372025802608760,5837780444881033692,2963512912768145424,2821361812931773872,2097883863000124656,4986616681269393072,973376238163595808,700502802016656960,2335113666147889800,241102497482632368,495169912258648276,4479294330136923264,1618066169367660000,2980697170557671684,2980030314517498704,2122973413482411360,3718652366518374384,2690067402313429176,228251466269304684,1097649840736383048,6968709097447673664,681637233816808848,7668761508198424260,4264615189161696960,3443860189260646656,6587322672916725488,782883245145583866,797539301967592440,3818386432688934144,5503427103543625872,2897322791087627424,4471040066742579792,5177213345204916204,3417925578675390090,1107830196493302114,1359626986678188540,4005928423028231040,2034677038871071008,1027476211387658724,341493291250195680,1074573060619594328,3459356701437062340,9739829281221336,97402644786292640,14632186918156368,438985221589568340,2519129652241563870,1684567033760693880,2924479886825873088,456541025346848700,1521871416347949000,6240721810372367556,277688046886622024,857357179111029168,895022304040053264,1868626808244015072,1642620773643924564,2987008234287064344,2990348992164303112,863587692083109024,3821085048962743296,7487218865111067968,4305324243476669364,2724554726994321648,5599561608870809536,277395466663523286,1706631698523730176,850145401318951968,6544769423387813376,3977970237270022272,1529277528811176270,738677207586330624,662629860927177852,5175022536296941344,1879249895791687008,3748801029910273260,772262787841136368,72289151321718936,2530233355368852840,2927849325817914656,1779221568121181388,1318814001602685312,2750091673132771464,886548264690522168,2582461626262736040,1077505763776387710,2124378728837391906,2115587231110854432,1926475249836629316,1960972937745210864,768397318056505308,2862398118814500204,5329639452867663744,2063362296226900554,369559757759912656,7297943521066462296,2079155469946045560,311646166832370304,1388004355669201092,2728927345424767872,410204133144141056,1025556160038369120,955116609229231290,297952698687430112,374478264418767216,2808712491932883420,4223386875606166956,2738656714568363388,469594210792083696,1206310987511238276,516391037700957936,4602091070343218256,5603952343268342392,613599848986179504,361611620511587628,7610871410377419852,756665420078742672,6631876016329924176,2357163855631578128,468885955545355392,1886091038390852172,170261112273828488,3699497809102916130,5935603937509613772,5727175994469597696,2393558812203795120,935492498010276696,5506542852053305152,995157288133654716,3669023431524558384,2201869791472127436,4183685035606205556,790608048680106624,350604537245895156,1001772016323545520,1731133921929370560,5761067407097465304,6519162142911262698,3853309418723321316,1924059591086873904,4427108396855305056,2172361201241630256,3677417814523277940,1735769561054200320,2321960876776519536,112475503709224040,1124805303296413200,2253883423226309784,984769304848326456,1172582677348664922,158433220755322236,4753209039735032640,2767097482019731080,6044365652399816928,806636420375350686,2471393397661381368,5741683369107959808,5347483311780466344,155886598230511044,4161882956638351896,318537084201769536,5654605108409815266,2480569338700512480,970155391858149420,2107008759280190040,1778237807681247660,3975519049941295932,837806416638738816,5282298279426471936,814295752104625148,2122401146562704520,2312393435188348896,3837348431697847232,1817878223470416372,2427290845276420332,926912080181822960,3555172394989616016,1615318227840718512,355350630217747072,4442081400212764800,1378871893017268104,117737455392080664,392475724987061520,506152659503743488,632719101668285920,4810145815124526492,4136948867521657680,2747797689208033440,538005659776274592,1103845981086243060,4836207031857211430,744240156974369640,4181940333973639008,1195265190211028130,845829893811918204,1939588980848820384,985281275835168576,675680735529098250,2895904006673782500,7667890161184726016,2669831852291323596,1020507423329220030,217267944622556704,960872339142504672,1878573472693628544,2493543416539805376,1161824898489829344,37352492918843256,160089267450276360,533654742408341400,4031023842958867920,1029405207227883100,627832184778394560,289009287714330894,6696992587811060472,4331906376967643760,5576839882141900752,2372768544693796936,522491628825055296,1017950918414015844,2953681691176934784,789644035687648410,3509685910949672400,281266324848367264,703197241227224520,523355776964269452,2729398866842899072,473292577110870108,2629520732236100400,1266787990845857370,1765156619004378660,1884009805027945056,4276065512473329744,1762186576612111152,102755772801160602,119882828681245736,1198881871337234880,188184799053527436,8227260897837217686,1725168926004463008,3091207011018722904,544520262387684976,1211241537443816340,496856996598433728,1644878579756676048,1285398822843517500,3092263199899182720,1878572220665984480,1705276709453631624,3122484159696484656,60069461905298184,5406493222481424480,1379674887476098752,102510164078172444,3075442384295624040,511727958991048824,1647921312844114440,809429790804227712,2417795492589690864,548045422474823884,3821870891396526480,4458758992102852032,1459088249569026780,2054595860262772992,1752794605682940600,116583246626396112,1311620150613776580,976747134406111512,77001798021436320,770052399739835400,3771609383678379336,2119379283945434808,1680396648054264792,862171819793110728,867299166160559584,6427597976243793888,3204308373427158312,4899060699279153148,424607579852329476,367996708201500672,6093186582980531076,8529391082252786868,6001996755495846672,1429294293094423896,358303317617325696,4042268770927064724,7345535228035768192,2718620910773223984,4559855813332227912,4860566494308090076,1229346397835761968,1699992761598380052,4897451100040572240,2809730360856154764,799258864338790272,1809483754888126240,5665731665903625696,1740285742812691932,4799119220444115640,5188547232350647272,5304858114649051584,321404804521773498,604996144854753276,339876426090916296,1510629418695274720,6052607599708564818,7048511732037759456,148000059394314568,2960133506242799040,2418346108684704744,1323992272404030288,1589053441675923648,6358894163773720488,2416144216236192702,3712770338256866880,1883914672837500828,1358890461264170112,2579900650077253536,3112430789988649620,2383953311743304928,352199697134928768,4402693018652536800,314429125830709770,1257772727084026320,1380083251107829104,4285388516824026912,682777851210529236,3992739773813397504,265363308616395880,355139183502697638,4453471793082713478,4783010770489700736,3187512950387440080,5995365407938411524,4980549345736654248,4727771243921225376,1965550093144787700,214694632617386620,2147042303143267800,3650327260550557488,1337936025851602176,4901656981035312498,196569309201022902,147636560471024576,1054594003283344800,1479765517585689204,2015345957696524662,883006782731755296,464407188470199936,6192372661363214560,6525865722799620582,2844233759985065880,4125201637540875100,937067658784573464,4765527960926343552,1119772990600574688,1880510878608320952,3878345972384367264,834953939848805552,282793361758250112,7055132442826734528,366960613717072716,2446513458757770960,1386342744328780920,7436636254576340064,4291959488872109976,1751351862209022672,6790282777966818816,939946798275241716,5747451277342850838,3271358109727582128,3508157340945975960,16655702635775808,55521490816025440,555239729601796800,3419803038787069200,46896492188434616,937971775022689680,3575691907861425372,697717216148836608,6977484085308641280,5610715554024971388,2926174546421303370,48593771957611584,242979722089374240,4049843081492604000,2450565715178971776,1265090341148956332,3451325777068558272,833927284688448024,1633572861649600032,773875686506269568,1835523499695116424,407340019237900326,1577921138953886628,3893580448745431740,3859792063743076032,5265931330558506444,34368561991073808,257775738891988320,2577872633798119200,3177348911832489408,505480561234061448,5777178971945486080,2777565070912356312,543617982840483936,5436422867691506880,6615324832938589152,4720206424150629972,3568577398614071232,1011403543426454934,3287349848730039708,795028032868125184,442484795955103416,499579049279872398,474458925891526880,1264061462857971624,467187591549922416,1745252792909648022,6576485909942078340,5527069028612799768,574026447901281808,918690261330143772,2429126240970902976,580940514425988128,2382500929960263690,2584128713822211348,2418363299584960464,253195927556957952,2899456655292887580,8266513588555899150,3598425520963142184,467716707817141320,4677376190177209800,1136782976045855364,4012033947163710300,213257885828793872,359589413514290184,3286176191224966776,3632321546119588896,519241524687735168,643094928941581428,1428221303287542890,903166887335717808,1448185383929322432,3681376912921631808,3472979918152739880,216271193891884464,626905451325262824,135850761676616316,3396420888933639900,3723355187092007456,2059803826509725856,792142131393733590,686227481588873776,176004716906953728,1320094395897205680,1228145992370204060,3511815416821246836,910701814763708100,647232836118395296,303844736500603542,423951876177192792,247054870270652952,4941318324919412880,3731361973277645736,470633554842612272,3182179107473111616,533805377514690048,5338292444061858560,5641126314587445276,235710793600996032,2407653161651697552,605305106825180256,184983589621489788,2158238371869705160,744520414688852160,4087358858863595088,1746164704481376080,226253426540846976,611995801362427152,125028308208050622,1359663675968093430,6862940526717667872,6987367993654554264,914326894396952646,336446550720717186,1286222824568344224,1864630466226767880,7139611221408495846,103205868626722444,159914389995783972,3198430801410644160,1746074099227267480,1798620370918067088,4646812526180115456,1827361988400492360,2930891655411497286,1916235698577089292,1538510125497179544,1817730681540935328,919732994909891220,6882133502174566128,2305346533537077216,4975489063002690936,3660393968504141792,4605091560398653632,3509966932550291880,653750721998698112,5238894315382336464,6040074089538858312,4167196696723892720,2982060337690388448,71506265629410090,5005662401435831100,876928701521649348,3853747608705188352,815352863244720174,314034282360259212,1803642203944610496,219982473413776480,3519876952309597440,4314710934290567016,873531721544315856,1787490754063423488,461004790369574808,1550074893482492586,5194039539062397912,3902106715093031676,1344730105057174300,7568111574600143832,2824858092557237760,1493977619696036720,1817229570578747514,520801784141526144,6798204247763661552,3442491295978816140,117502221133026972,1175074751066494680,1955285051596461816,1896681988634098944,5239342560156524368,2653054987326316704,3732317755037705520,4776906433357002848,253209354989655384,5064413540561929440,1182070923611375296,114161228622838320,1369995999087426480,1603288483743687180,1049728411320997248,3307458877147668960,6534993844995370236,1562005753594966584,960374106090508284,3846653968936866480,821802698679071982,2551509055321507764,4199005757976925104,1007078067991883808,277035529127978214,5646582684994887104,211258147804159392,148675816010457456,2019122669683133592,1100743696136444880,393859345905287856,10066713665926616,604029827949819120,220480581726939402,979957513490452960,1941202133107784448,3694564144695842304,1184610281259522666,18944773105513392,1326193415830397520,2736227068970637318,1110519481705135704,811105001751136896,1998318427499643392,1597548357749060244,2468673391597301700,733203412682706944,5101271116938848808,4473825737152543548,2961996844950021144,152807619511868580,873225442349654400,650893192198767948,1017281227639728180,409684575648277728,682838158395262320,8361371985235091676,2645787901404557052,1905579489202447328,4983222288514715136,876281345627537376,3133383034436789512,3796164589605925824,1516273068130491780,545356969210005080,759566679681024012,6774888947821643616,5390331175807168896,693700815854702304,6070153561487918280,4004578591559610240,966303551815611744,2379104283636242028,58526285988615544,1170578061562895040,6708492115876729584,726602665248134406,753930948220931052,5719680670358235168,1485247427853476760,123462777856875786,1587449554791165180,6235949028979982944,6328350912699442032,180350442170254146,2457104759474009238,2197734321187191024,371692488517765848,5243179886616776148,2583641371090325076,2937442485688974912,1350702762617584344,563110381997800812,2120530686244970130,348253033289361696,4538115191825684856,2005865174963951334,3880223407562840240,6054547384567327212,6147252982974614016,2363803791545634966,982914680904333078,7695172612246097856,3756547971704134060,3078615077221692690,489838393462190112,2391756296123649640,2524949302376805696,3194208099165197664,1583526411419773560,98324770366335744,819409726813414800,1306306369812848756,2468488506832023552,513061881287926608,1187361047019943744,129452438725719624,1726109700738959040,185725484991404016,871289747490386244,4947294636832792248,1070307070272741576,3046542226713165420,880048332260396640,3869533638197718870,6681792879863722416,461759756676871392,6049801847877673248,3214528844345060592,434304003268994616,2767268697631806216,5994099737277778944,740679450157624428,2502330751037606130,428018564653693200,6420565573851987000,226694593326992118,586726003167416832,959988637255761096,4307651581083383856,541837023921518364,2941075601705211552,443578045159281376,4387958653890009528,3708492886217158464,1934447858664081970,2722051632716064036,753437243943319488,896349648713025418,77550718740028146,5428793069597202480,5061266394158666088,1607360128848452772,2522185973660395980,253460731740097816,3916129449971054064,3281579983224699750,5733923995974115872,2668174500798151488,4463122184241306624,119749002313694220,1397134169300501100,140722436878534392,603123127934206080,34431600295717788,1032994201369248360,3832798254205468096,2515633126191149976,3841038725431246272,4242459486462961880,578902420487119488,6780516888233689920,3982453941050120788,2241941607120335490,2216555278259953152,1198067016468135400,414503157245157288,4737390783647955840,5872426089396922440,3558153948992910144,3943401111301060752,8638845849009606294,2099031040562619096,374818034712650580,4498017556836766680,2297170538287114968,5587041546741356100,208308088635133872,5555130775892819520,161976358405494864,1417356516937129440,417865523110113672,4178842099391238840,2744397909328357728,4625685329150835720,2429975710935718848,4528812402448942158,169542693317284260,2543254128615776400,2244947663834650688,2657955597977984040,4950141869681931888,1007609013556582052,2698480780604291088,2153823818485762224,871125198117093740,3170028116333265408,8904055270723776,89044534606032960,593656777898131200,6917951835076096584,1944423441859173792,5677944351545658654,760391804074312656,7286548059208312512,783918813938399856,6786850647281328498,3912623267109665110,1785268681490239752,100284012964822848,250721244239561480,263106237932666334,4549855488184746432,1112432740052702096,5480709458742486090,582200062138498944,929575381958466008,4793581191789480384,7224658703652050784,1017295900180152534,1254820751060895864,2823159607620185988,414550702066728312,4145692409991641520,2889011689527080232,5679056284519893312,321185489128953756,4303139475381252366,1598085784646395904,29978270447126256,1199184443816189760,507605205268038154,118845442593950820,196976511536633808,4891388998869076770,7727739754318604226,1306897469385116064,2338115666803210912,7094292866689142160,4669427510415571860,2476195030654466904,319265721169446432,1813409346332691234,279362123107337424,1862497442894753280,3459005882800039836,4335943763519093210,6615531706974095556,2838812833162706652,433325841575066880,2600071322041777320,5829246400069076736,2041599251115416016,851125480892470728,2287736486828921568,2624353194580690356,807823715499413712,1240486552154042496,3471658364526170382,5277101251190068692,5122380542879530368,2977477716358410960,6937929464323828110,8784101844647996238,824390290253668516,1202654353507719552,250057164622431258,2500683474925522260,3169972032667965504,2920152150136263924,1591436739706057948,11799834593067612,472014491891866560,373565399151020656,5247358815295480284,5591795642604448956,82240273343505024,2878538293504248480,967874135074997304,389166306157461754,910985205449688828,669215382535818624,4755849728704071606,831871204109168328,2949789012570556416,4235296005358708488,713683195858858806,51329250816091116,1026630926776356320,5207917574927379312,3266100492412884600,1489367279415024884,976229581304904192,2803366537743578436,112120405164976624,1962194838985715880,814603815124102488,191418591728848704,1839708139759607436,1243973740832860530,1497137846743731456,107569776514642200,1613618808259738500,4790100815855917308,184687131576340344,1055402234878888320,3894462094949227848,3655076593382554116,247460192087955120,484899079526330128,3477610619603201376,5875595213707270656,1897703876833657380,3241293049094121216,1140488434521507936,2583003300582912516,648650017737789792,1288034219642426220,2342276399673622464,879193951785661050,2487486954462013944,985402436478726816,1193462744962199976,992730591286300896,967580506261542496,5009673847487449308,1498824084884590224,4389529705187265190,2440296489779362872,168309295620305472,3436633392291182430,1796515321633388928,156821760475402176,196035967320944520,3857710557763154856,2720517860212679256,7424514434670325776,2244821373942746112,7323807804250088124,335977191227786704,2734696340406778944,859057274260045824,5579532242273910096,1106167424609699340,1097516597372391240,606335289746920896,252893620272705012,1686032868037019760,4084467228342563280,587385566566400016,5767840819981279116,3212514626589786030,3555086210435839104,2739545819664616512,578470036791187336,2400543981743588010,52340101955691264,1046848854362900160,3115302766602230580,248080749540642564,1946245778244502688,3507758666374078464,1583294617416890208,8420769704429037234,761234334288568272,7327236554011853172,1459522883599546788,1248547811140538196,1031225227852636032,2915092481925568240,6738583662504918000,1326758891763013956,2591233756248598272,2623059665031171456,571124285492666364,5160323035921407552,3088924144100043360,762012630559352832,5442811444456312788,268567842089668158,7162129414786101120,1936277344043567264,5587032296354407056,5969246541534623808,2894834914868353548,3326176354272405720,662618347105479864,636180051287282068,371517369310114368,5039454414884281644,209921815535213922,204376454524683216,69964231722947604,1399347213711410880,2344705227401817756,2474549351857091166,538872954253565752,3158568992867814240,6662349087219635838,4750147614359092374,1700150043900591720,5849850866911623936,364877527376044784,3258223282758092970,521882306309745984,669359898387710820,698506427360503224,329905541369630436,2409910929750266272,14425218302903712,721293171629589900,2215977070593370670,868303553246341344,1374130228574581248,3056974006087936634,2212584205520740824,688768397511261852,5337900183564875328,8088760749895030656,1978818414151876704,8062329302205987456,1918648356896453424,5347311479090445618,6592342049849502170,3341780827926397728,708349017251024256,770825615725990734,707404917656102526,218569391159680008,4371583321968863280,2273301649013993136,5046327453148619328,2446594263937838784,304329667939260288,6086865565576798080,3631325925866292252,49039575488760384,3432923805775131360,7213953757550249536,80330411676409062,459051452806049760,293765403310425728,4212456236415967842,677169160564980732,2299215724550647152,3287805382390087260,2848892257120347720,3463550837181648850,8286730672228372512,1382443506729552792,8764267223794528314,4363835264315919036,1321780604451706080,5769094221718319664,2010578877439484220,46924182985357152,1407788446301447040,2813828584133839440,3720700710168476220,1534607605842142272,7333578378166331328,1369330071285686364,1559424923858806554,1136421507911974020,2676880071369174852,3633426532379412032,533770589015089968,4670701528945568340,5946215614370043552,3569365823626131984,938728844507264490,1473761922779144184,6102112795172522316,6903409791122191872,4584097618497418406,535082862507646056,2374701357176822520,2697469727896289388,7617029598230025546,3106243004708846604,1282533795162633312,2119578423766910208,1932970721870859588,1709804068621090032,1846647018764201472,5693833365949340568,309884381692710084,361631299689406296,5424712089418963440,30120204011404512,903646531563303240,4527965723604204726,142971403788127080,476592659253714600,1171082119937051508,3358348884107202360,2961218970791438016,6225920139686536296,1795776999266675216,3808457403206646528,2452983611687071920,8030173755623389704,894565088859219144,8256984232544074656,1137991913670604128,418887709748743296,871108462945170780,6646853415402345222,2154718394678381616,2899109325193897860,7011240420148658190,3052278059169072552,1809528320319115788,31524648035310592,630521157610398720,7093680252418310400,4265509273141206240,2488817830111962120,2882581133243191776,4563072222063916368,4094393215625527320,4787931507164256384,1898477579901961812,1357637820148408086,2030343550262879424,213065530266025680,4794188826602423700,303845936796739890,97996817884204816,1960024009696114560,3965062355505469908,1159463780992913088,3401667381513817536,1395485614411219512,3159767617065754880,289738360966938876,2662190387416236024,3334158693956184576,589169528740333248,8420339674307622492,1855256363370602544,458300146113033912,5347074157737815580,1202817743552625932,5923611017654473800,2471884084176798312,1567359864788664096,3814938866649122232,974788730779121664,2554772773791026568,4237100092522743192,2740676144179584864,5721318126675959416,508385875675620096,2121231709830776112,3838998721700323632,1088616408227196912,1221752147495192088,363744262601996440,2182563178847007120,930293845740097968,2507789077243600384,464776230263893416,1401480417045385242,3305715651941259744,3345719898263273580,3770917925832255780,2982033252982755156,5665725584789171472,2306492748458050176,5771946947438521906,1350627127032261204,922876029731936808,506008778089683396,3400018666239533670,4556793269970752976,2734956838523710540,3920803051897884600,1973110375612741032,267686064272424842,2651619028986067968,4107929150743617528,1666186590810285140,547844438487701928,6524179053234694632,1191426189074275872,7827928587212991312,2157511467802662486,841437076251998736,1975073243765075820,2783575186188594534,1900792414171431414,678505070510813952,6785354139955614720,5623021702709304174,1816200052949265984,2573075790013728,231587177454523440,2058644749043548800,5018700302991670932,2147554215293655600,2962851882276754080,804353135246756802,3990892536719428656,3618418388914124064,3960582071171625360,2484040542769401858,1286817917672359944,769159895978832336,1368229170150419720,5038608531919276104,1114321391480136144,768968175906738816,6555501556816970592,1135640198309082228,1013054492540302344,3092572695274283808,554955067641150000,202418396327467076,6683116012215588,233919520993131120,2339299820224558800,2521705893987571632,501379494176361096,1222417576670610220,426811689620767872,1391170010823266256,1802442410039158056,4929007304215848480,5426632596791437332,4813442379540876774,4103153297162939520,1052919995360969472,2147469729400052736,316266222479270256,1976752287659313900,4624963461390092760,491604585276390516,4403714281707789426,932446673573434976,1246935736022256288,352451132408520288,5287003411665002040,2199103884706515912,522410302995996096,4145608097983251424,1744979607266355300,3868866903204488664,3102168378522742464,5084603757530659872,2752101635948306796,7208228885514171536,928405022783944464,765957052858213008,5427614406566853924,8667541408320108972,2684180646831681780,632088502296773520,902398049215077618,278595915460362834,1529579488476178944,4013758628743478076,2722041415155079800,5925698419845847104,1658298521864887140,2273010912029877504,4917325743116024688,541010515678029120,568486367648610624,4974478164138862680,261196466295469878,870693823037482740,2640190702985984808,4978061290962869088,295872106255422642,2301330402994680540,1014603027289164288,4624108141234882464,646588268258246800,2424814437554941500,6013302917322340152,3673003595863680064,468862009866616572,781471628480754420,1465879936757626896,494569912278351624,449314655373583848,4012879605767396568,3290412299759911296,65365325323867296,3922094904636111840,4183408189315473156,4200434939470877184,3760768277571221040,1170712295548929144,7219612189791119616,7413730276831833856,940152102436720512,2218497555201577992,4359926566028350890,1589507779589986848,6022678046250580596,4030679276902309472,6917438312933649984,5381313080368105692,599154301494534632,2784511573064410950,1337279620855747536,5929700534000965152,4093336403578123392,104706140162158980,2094216449724584400,1366208283177181920,4863541057499645136,2609051481655313832,2368564760001589632,5990399952059171880,2261430005823169320,939951149912426784,3233489876338919880,1935475758265861880,6647214193891507776,1412360907036971388,5021252060000829590,1842122057333673312,532332468858008664,4436302282297316300,3817824538147938120,2159665390693130064,2974984581420324000,2113916754458608944,4918338688427106624,259043783252060352,5181107344163936640,392692361295006684,884972470161127278,5161937783286703944,275595991135364376,2910906264718465024,1424204565508785744,1532132634336788352,2804026274540476940,3219028583217156900,586524373330048380,3615408547813656832,922959159590352768,594803021023244196,6939678891568353140,7043248654286667768,3617204327704855140,921715322949339534,2718243286834255686,5944671430596902016,2323499165800383816,2564057603678118072,1282933441317604224,1137445553300738864,1219909116595920456,27912181149078984,837402879282770160,6513424755778987200,168311542408765056,1335846790776837636,2938282362359286840,800037033045864360,3571614364379745168,2417531854679348076,7602717395523505968,2547749407967704164,1779148080969199416,852606052032224610,1604136238817901008,6743490447308219808,2952524025346722552,3431378086470379024,3615740999917485504,2737596332052249696,3493493981938223424,7415624996735535936,502365854837575224,719657995288301688,2566947482876003136,3712228755279081444,89997911013410888,3600077416727468160,7830900063855450432,2852647945151210960,3117682729437006150,547816896110218752,3177987176515378716,481637013585922578,4501480117470823656,3091129631093912608,4884347697592676544,64573486845723468,287006108145921120,6457926194696404800,404544195754773732,1733838366141589380,3474887651103785850,4240613372828431680,690581984162305664,3616287858021071466,2900658882153831282,4117703658473596928,490025890928604960,5513037782556674700,87991236226943312,1979891343705622320,1321369039804103424,2537345632899483704,716046779696256432,1407399365049741504,2795400092214562824,4120798524394966092,3993685118327237850,4318375554045500740,4454992802487188016,5273773510617901152,647149269003939792,3279233439475808544,2949538449729631860,6474932106814899440,2903233718232250038,4120844651083111968,181887447448090560,3031593009847066500,4861724353620076950,3916301513942201384,4530591372636352620,8647013816629627716,1327744429831478238,352212174066358872,3267545700715847208,5345697015665338284,1693990393458364140,321272339267796672,470500559285949852,4947137390887862742,2822542706628845970,6831584677482789476,2360410300087291584,6454092376230155280,3741271995605411864,547882789726552248,3229261311061796784,4699496044981487490,227211462952239222,233858219630794176,300237614390646128,4819850475201366660,4196614114172808414,585667857326068832,5319342242971478820,4169095895964715722,3327262245710587464,447966860068759980,3212096100763900416,1912790437939188788,1936280932382834730,4881342150739320048,997532858928166308,7176778985001847878,7519642899779078154,1177591246813702512,8485072528992747624,2234551270383563994,3542842683399737088,2090328472281180672,2118136293971059860,311467620981016808,2685900369693181770,812023547866971660,666228381350646656,3782761895425651068,1812818688808059540,3922352106074891392,5596254816221327508,665397167143324896,950609884614226240,2245454415957796428,1312952831963521848,1752688543991593512,1792898566889515272,7573249423008232704,558373130339121048,3750830970411329640,3197635292516783814,980153270264251608,7351101882809224704,7144150625024235774,7112855075351672542,5826007824519964752,2077446774257784048,524773382379769380,4373307053159323500,4032388282340812464,1307480684803212560,1226806226482513104,17570163941086680,175709495457619200,702869407393507200,4046183209874649006,818412810439349224,31863342155207616,106215889453217280,531103192984897600,1009567658333905950,1994617466566404816,3879351268258315580,3024958498130821410,6579424419302050050,1605609670456367456,8864608339857608712,650285807844702546,369728337994943976,5675411938631778288,1378609910940011904,1401931130918177236,7879064010889334976,4026292218653828256,3197740623832503200,1562560801629514848,5032615833121332924,957609022825410000,1394967195090792048,2516130235991904012,1436350715775195528,57232547633836584,381567377129676480,5087792499286793600,1999937377729442916,1586015553672693504,3696292662224203340,693531954059497614,2390166390661889688,1218930368511173296,1957421247529413600,1155894777033661764,3315305319940233650,1471881312617080608,812787384042022896,8675429854959533934,856284057305070204,562078711314439128,4250353372949595480,623700589835578584,380331033439795152,4278915429451472160,3296977724805684480,4061019348619895484,1250735290206235008,662285009718867888,5887241071670415360,382470014325752916,7995321213224333634,4147132471351196832,767247743305648968,4027144612137699888,4685785053838884180,766648080900757220,509023419926121144,1985826818927351544,6387137858908817118,4751324841436696320,282354049694554764,2323578377239987464,5159652766416505494,4879153753452669600,4878380979406127600,2672081172906760770,1322426721795143580,308905422265174272,2078820650844758352,290399427892475640,2178093085415813700,683484480537368544,2563181394174344880,3090230151375199896,2507712714973454814,2534857526259804240,6782378209203084152,2309068285179432810,4135566308790510816,128139689001215940,1708605572661676800,1527817717967683824,4704829115603603826,2840068428394515840,1656806492576903580,394583973112486430,3475471309902434568,3863768201226349632,2906779546400922368,431489808950025690,3452072800421339280,3384036147822831616,1010153352365805696,1183554948364907490,2520397399642944704,72250904046527988,3612706711397037600,295343179129374222,3797439213262646340,800211170217013632,934812986701297568,142164289729959894,3162051058104405744,873252642258326804,520581989943878832,658025028850511790,5849372865729567200,1127575501294956624,226192236895438308,208480802752551408,218867144539521324,1876087966717176480,46225878827127424,4160515090180438260,514997674824011616,59891966643314080,299473221114579600,3762355318309684944,5349745695041320428,6466202008854999840,6245253484820545944,1407221907393474744,6977716622001764064,1006444496500885248,2767820983020104688,5032170069255253440,4084111056246256530,7803214566039019488,4550935535238949488,1892123758547097432,422839994662895788,293655502220012640,587337260761136160,4405603297653636540,1032945249400626366,2686419245504690856,1096559257520708688,2284754774982170376,3429752551388091180,1151526250055151840,4318385067261990060,4112763969704410680,2055568966014949324,8186443812291593376,4890498304583990880,3679252701406351958,113954635870889130,333240597448091784,493731401108454888,3291689822752221360,2816408129553984,14082670185073280,316874244369513600,3168884101909176000,2173113623547505210,1847052378641375232,753170093433644184,905450451450554712,411362673421289952,8212829171171035296,3013381227033784752,1565208163168937172,4975532653464793008,44175712361226688,2650661232239802240,601172032878088848,3788849633667091792,1868524002793266948,155379476003973984,1035909480574728480,4879124836574444442,5549340164977260288,2881251119811231504,8201363257680260544,1968657948834036372,575482082296358244,4240749856737831360,3635992154491721160,1701678868682996328,537718112244224064,5657757766747671528,637135620882715704,159062891614621890,636280008939820560,363532710590355808,6362106828430921260,2539907677254910536,1119372449466923520,534111392795587848,1500001823582816868,573744089665280404,3231057830290039872,7774995470699703024,1576784045720333136,850095354406305042,2299701278934868752,4444136258397233112,3259502801616002688,933068840024945646,317454398131224456,2645571575403421200,818191501636235220,1995986925891126828,233508394669973904,2183248153287993984,4667653812027937724,961949757064202568,2054538050810214816,660813048235782208,2941372039734805908,458861366250715104,1529606260258609920,2994624061517643492,912007890547138872,1465436737218188142,2275242851386025352,1813104761495550840,1062300038637512828,916826143821589980,1488837309133851072,835497275484334584,99946028544071352,999504962237227440,4244045164146708072,3525377210410807296,1670881799011870224,409076535765009990,4971713738633023320,3921841710111636072,2057582395841102064,2327055757498126746,1818838260527926176,417568735033988672,114898079323578780,919225722322285920,932100124540837248,265120163257367208,1757980544591947428,3483248606568335250,6162198427385620992,1420439253434758656,4225321064142389092,1743944195558681820,1826353281498348096,1736565583581179264,1675819369208968512,28710196321629108,574229593001727520,6439471495585193088,817177612468267338,2817889655977536186,280793281147983648,8424174970526944680,479950273110924176,2399858631946313040,3329769045134532720,395284000669156704,1694150011623188520,3834029282382003120,2632134567737204544,378277555643649576,4771406676383877474,4295847153067501416,5807269193194989720,1122064790755826808,3192567513227050790,1088423034547437504,2340211475447848944,5061484547930272284,1360247908848080850,2385670601041749144,4367968833665878660,1848349275150502656,3386420783061453984,700469950831969336,3193999225313037504,2232299179663678404,199750946825582426,5778247431380448708,1277636170252497264,722265561118182464,1805744610990009240,4507120004574973104,1074724921309295104,3086312026796766240,4992468525169724250,671035799032164126,4507338084505793712,6946377460861856256,805659288950697984,6461971938738900486,7604244588176386176,755539360495368208,7683133255420760982,2293337619776868588,4298211048977690328,1268885626767389952,792557916842663928,285506168606319198,1568262531159171456,1777908108986224236,3742586606121281750,2122493901930306594,2296029107870683008,3993218763541479040,4416883448695373772,221660246269614636,579611393657116864,2173639873711755240,4119353652696800016,1949000356266910228,841352678925493272,124855927444703904,3121537697405348600,52027035830043048,1300734029449756800,3173712604855685328,215890512407766900,301644382819592946,3016578647311986680,654340310477546496,1798128493830836802,3244237072424305480,4272362483692493880,754839439573150296,1328333470488954276,1404292950680628480,4410359893669806576,371295633899522464,5569683429015382680,7900020851182325184,542367560088060176,1431784736598740760,1248827843571816384,86069679802966256,215183816422535760,154897254008989056,3485343980417306220,1521541565659593828,2424620067826492536,2812902898258316704,807723548218223604,6483645978675280758,7697809079396680512,1989171937242712152,1532961800562142704,401205888202816698,2696938447027223232,2751209342774384736,1953770287314810252,2569557530161614564,7013831866580489832,527601050287810576,172180467906312900,5165644891412871000,2743208386615768032,8746242750335675592,1498122723109963368,2522738453115158056,695433837528606816,5409171582649269120,917832978443825796,871149473725212984,403922282249190144,7849280284932978912,1394239224094550442,2465669605585710180,1553672132817118784,995233438670245632,6570357466366077408,3766291336628565928,199049889735376488,1990587854767212360,3214662296582130464,7211918859796340976,2108649190685111784,7150971127592348496,2687449411247126184,967548215305848816,3405025282666116480,1723943741404737528,4950731014840627290,2433368841778857520,2888997901187717088,1100762848952334144,1345993213499418704,2464437989991392820,3853287989825938560,3434620179490773088,403970246292750588,1534393080330515730,5935993638132137568,3746309062400293704,1221335960423656080,3407622758594172118,708324464293975584,7590545426052890136,796050093517843528,777155257072595664,1942974968485175280,1060154389770854112,1239675101403999066,7080602784789038778,3009677996205582048,1692130648440066156,673090052514534864,976489694819915928,720509689982873472,961904424143813808,647208068913876156,1369784515086473256,201625703116819968,4877876852564243340,777650421202692444,3063326032166531688,2233669313883070632,3600450640580995872,3183990243617266920,3364876741765109230,3867759743388513792,670340132546125584,4109024980983130236,1603358090760509568,3538895604533706096,2067976987976077888,8037338419419512832,1348628424809138892,4451631431605535232,7023721731602861808,1540635185850980274,7753944869442488352,2543696409578236128,54655568357494464,2186320428876016560,771204277983917610,2922670813722737472,4222688841847955616,3146074198313749872,571665247069509846,506766748596318700,899594742217423824,3956270948347012272,1023215887579097244,2273828206082733312,4547340697729123008,2264690280877787696,4477685393535785568,166336844644845156,3725972347689982368,6984331056805957470,1190393406052277508,3696486589253979400,853807233457408644,7589736762328008480,515263689551176130,6183440567818752240,6445697513084620392,1731234440081670808,2819273858347806216,15147194310353088,302957423062155840,1893568503113631000,5922063823807081566,1285948001020673472,598043950349789664,5126320057087426680,1583673700665818816,3745391192986000032,5084305755786092520,778231654516570186,478355741725266882,3658164372462376656,879383536347444360,2671968209312925864,278842674674118096,1402279487753563904,2247588353502275112,742809714278950584,813261549675554918,6605859184276555104,1900239890575081824,740272289628409902,13546802297798418,1219266684283263120,2796081283222607556,1018551299987577672,787997964068075106,4563782338846536608,2900530238105890800,1970992574841023748,2430684103729603808,3798345833799837312,383195707903683888,2874096223085188860,897093900883524330,5247403486832848572,1470612908514392064,4761696111661221228,4361435756304958842,7047409769896147400,3321636932319943020,3366511031352976056,2423351699566381976,1667176252281299160,2041680656274366096,5620353595007239718,4993577339895468786,3451223164666555392,532953341818155328,2297202725175686352,1549701497119600350,3937434556813345824,1305396705235676976,508797824645107116,3903254642550241284,696834810133121088,926589805235255712,675736637731769988,644520765541319664,3959299615615971228,854726049853224080,90408691208966796,7233018448582560960,2022313053827096832,1861539219576018336,2819374687302395904,3088923693077020656,963902077992400272,2014461629884506528,145936693199234888,2478950311194295956,4964034796091841960,511207973235895372,6486565109741392284,3580998540768738528,4065854372248839296,4606812952995597120,4731915634840467810,197440597494184720,2221305960609964800,1873727027032399560,4250801000136548634,2516009996419833690,36065575579129272,120223956323577920,1397863141216099254,4556058611407238826,7868148313296785328,1097561198083304592,4654925851522857318,8851812417522871236,410484024920204196,5778694621091857104,205443269952126362,8057026233895136592,1934237244245521392,162806758123486864,4064226067912527846,2273518660581541080,4013096444813790180,268487262879441024,1768634902354561164,2627439969371748600,1973921886579597696,1448571838562190096,955716476133863956,503883779559269544,211761043661998188,43204069967555072,1296180003651713280,320531096214576060,5769817487580712320,121761906983016168,508163500634621094,5164972350927657072,166228072496950896,3069644257375488720,5383187509249796220,1168442988005245128,2998213304056402200,6782642979130713420,587952709450542414,911222725768707558,4335611946460530384,5601224122025590944,5670051535718073648,52283079509029230,836566643000136960,4183020077254372800,9150306305573608074,6531504814624364046,8665004559103680816,1670678079469410528,4035846255181916490,5817331362075743664,976090653459269056,2853657939835911204,135853378033246524,1358594469724372440,992504632895846928,3628184909856249456,6394052449405716880,1936231785150293898,624981959776069632,4615077081150721836,5573708990724431304,3565091211629956128,2570469154042205120,5648785138328280192,4061118810740262528,1406145649419502268,5114496719221118208,8048551144381746624,3048470474837098610,1692352762004580060,300537060801069240,2404403888944126080,6835838160449879910,1457697915971403876,657442206992560256,543564715957190352,308436667984200294,7866711627618389888,756323292462333144,5038044339161127936,2088437981261379220,3942887970056619144,800606875460717424,2551860308183524332,297871666591629996,4964749541001851400,3296271101450826492,504960490314718512,5072604559022878272,182200877819323328,4099702873777297920,1401876289460754624,701973070294850588,1068061541367876462,3249773300058447456,7264917453155398784,4688280361374572004,3109697149735922784,5128122715429920248,6099136666971348384,2802871994378846856,3486176163552015520,5296993196164046784,932147260508762064,3010785584783814684,2277289161328474296,1301263591563041040,1167956641471609368,1720243383713818446,2827434460448430144,1512213781617393552,4369153841571393504,1961589351506532660,1013770231971851046,1334541366274357872,597999808288710960,861831196878893964,3455891761652546742,3412628399436899220,1530685343495164032,4460510910860944920,3001342613935361472,791674788051648512,4383170146468890528,1937288523509524350,281781904485339072,1408972452717709440,3880462443746704896,4472158431866218744,425571165074781144,4965218690310436320,6198138921333324992,3382664317821790614,1198084087527937668,724383224047006540,924307790684235936,1633300771832701824,1586107923289796852,5010748459603578864,1801595893630152600,6269952056253172784,4230015891798692736,117415271287048680,391401718535801600,1806729031158037308,5434382166143523372,5385408142913663480,1583375199235423380,35928042989319558,256640340501250100,3079821635932312800,7336171343805159168,2213277978403909632,2105983938251322696,5212850266690723680,1875844967352204488,7562181268860378336,7128806900662378008,4169697808326372072,1869542395986431232,1919325137787791580,318803071448271918,32581692897399072,162915740365941360,6516920662153675200,6871256161681987278,503397127467278856,1629876496541919104,1820577009173760948,3320110569423502260,621565812018964032,6985734209321455896,3392309922801936654,4381893985963070724,984406747359555180,3130060742091733536,936855051596603346,8099346678433243968,1879921357893986616,5938708871870291880,1997233600331295270,4141115198903765610,4469755113010741780,4458255848790636816,6582387764162701584,6860800241473247132,2701726772371107264,8014847533770146544,1378050945397547232,1110908744030658168,3212994148510504248,604008978080750720,3020179764085189200,951040769824767996,2116206409327749536,10080796536468540,907312206213243900,3024509086208061000,1726994882686934556,2376459084984131400,2110599325956766896,6306387925690914336,3008806205526747216,521196762632387732,7887719378225616288,1753175461230284970,1009643409540918516,195527057067055104,6290271928577972286,4257164890503053216,187418800019341800,2249126036260412400,2311606456182995576,1483068747387454290,6440940681237966024,4072261770230412880,4470064879045306428,401871497103199728,2009447217111671040,2384325119005018848,2734534854113210910,365015222034394300,4606494769139482008,1378221033999260880,3207796547720683640,423472167946106136,705818464225998240,2137896635034119304,3902446741023221940,401068557428778198,6700046206000915104,3882388009003572192,1112858916155242812,796919671964364778,2818628989882255440,2779177720825370400,899754135171315006,7947723526786891224,1097652927473442432,968743979747588544,3054505977161281020,4906528332417640980,6924955861366182504,1143741301295631504,6683268280287039192,50159680432119786,167206400869025880,1227098178784493136,5898064197058860190,7107753526447940226,5632239812878118016,4822151513422862900,1037700868020934518,847612946470374342,1883668433418688080,6629142304572572736,998505481135025952,907878622786952764,606314312927673504,5480358128178701328,3303520355430624840,1762785209679318468,3198234757521916608,819933526840044904,3135789071197641432,2966162359654577034,7413698879473909904,1055653035155999412,7145303601002279034,4028174928831635076,1779304289352020880,1897968145271367360,2467159933944311576,1738157942765512260,636735489046477776,10874402797407968,27187220870398680,543768695971519200,5389677998679543624,2064847269924055800,522228257199428736,6872069446175399592,826420189659551136,4439902863844595952,4165208207239425800,3480000851710097016,1952224367433683688,434440353452147424,4344597510015423240,1755718567253678808,3297219194294607120,1730285192702129580,6895249833438263664,1066548293339637472,1362157282306033620,3013573015082571360,5782994455635630000,7769993596256298672,1019819185837350528,1583597292883489776,4655262275429132268,662203390916719476,1148288171174298396,644078782436550624,195606396450599424,1467113473654936320,2257740965426644656,370802424957625116,3708189803011170060,935822531966816142,6928569136670169024,168146932313420192,3719268612644449428,6233425167458617590,411201906897228672,7414217266059041184,773338112387212332,2102822380060556322,880264643408833536,1228217419194766848,8519305830271398828,8726168313860250888,273823988635846704,2455946120491298784,7564794069558722304,1916307117555973536,62978040120469308,1469553208464151440,2074061038508591436,5659618203854596702,647891228353046832,415192482982809216,5190137739106994400,6534239043578144976,3645982817761404540,4578745920553953280,655465107042147312,533497009807948284,3577517070610749640,3888363986985810720,1680577053458235510,860895224803573610,1317556306152233496,209255891605701408,1029468249494086094,5082406966793201598,881231423663505024,2142670442677426368,7474772147702110368,3346043598431861088,3684800563979215888,6338534885492132448,3308739137541516540,1888845554065662304,467689429158231456,422277880344441264,8381838983749355472,4517774976450076110,3150979251060001104,7970252040087902208,3102128486382842352,3429299880291848310,1424020431037901184,2943610178518336032,5847308932385439864,224424922465156952,57945949519926204,4635882901778711040,3787947568740639920,955321378419101832,2595724620577000320,2801447181979004208,4934780777738481984,5411506127193624402,2509254090219738132,3953230559853273792,1807093491968040516,943219835404114158,6399592746941280768,1871734004809018416,8234294505558082290,3780551083094727192,4881270608404569900,888235176693337360,4980258132538394118,2172544702259340888,4255315830214616720,5272118290096853580,7657901733742490736,8401831182605586656,2743296857654576652,3106972998916461360,2660700924481276890,690603173509426008,1025963183266168128,433807850512791392,151305368167268112,1513121220366836640,317081355844672188,5284925157334838400,5866294655220001524,738238605403057704,6237908731993013184,2014912679491415736,1281850404933330896,3754110347475040602,228206929417832820,978073353015891600,431988159033445518,3085767437389982100,7561848141459738720,4689241769622926940,847572605751051444,8086862570943143408,3062561127381705816,1676520756126980928,4583658504932399290,4441447398160561068,5058494711220965400,1033392145650954872,900003155929367364,465675947859139512,778796393018761824,2080008179652317112,4253959287797176512,7346820959011535288,8029637887365152784,770349724317695088,1300772878099510188,201601377146310768,2016103753182784320,1900321096645263744,481540491485251572,545954987558590752,367422823134268440,943715448722902536,4042961094376474992,4700998525160368632,1808830667205666780,2488299077793663792,8496908808767620182,5394311499496885992,3585279387523295232,210228362986077392,9309933658247820426,732939973007000814,921512559945904624,670869816216532224,1501056297703995540,6927113059396156704,340399753021766304,597981682677350196,3986722474130017080,1642321846880329356,1047222736197695640,7182519043594364232,3867522374542171356,173986321507041240,1391952692340702720,274070371633847892,4827356277875598336,2072129774406768150,3956925189458306304,6038926718610613248,1484268815823550820,2492359849376227116,825310749512608728,770215679217522516,875625667675079304,407173548629651904,1017979300642280640,6505692769079140608,2590195003083928584,418850439367065496,3590306844992893440,3185086459137621900,7161868551349232490,1818204613744932306,2852568411512373840,5712643153112678912,5785418564919780768,1627728456442247928,3904405937880577776,266487158638651824,4441650852691573200,2920753291533264432,35594274955326972,2135751804482963040,1398506849039336776,2003129883359990154,2885887293051034368,3969718323732305320,448177358506298286,1406023459938699084,6568579799844977348,6568910284136292864,718553323115536578,6867340988005178712,959697612627709032,600985789841206008,6046864217042937904,440877215016140832,2204484445353971520,2772220494535198224,5397737771425945536,1611820029872876580,55429529682917760,332592019080007320,37694622115121058,2261778251834358840,2226108545928141072,1258969381333820640,9244708573893900282,1262503482630972324,3825562484283743520,6955878906638078536,295017535129766346,4037283848909740680,1149235086451104152,2721797151759382200,5389996015647736944,2772877230003265056,7502270505729424128,6436484510393196672,1087291741990779276,621304382106918000,776665132293465000,1582048557009230976,1971851935223529984,5134831545694246848,2117183676493887440,3750156076669792944,6389349947951594592,3853692910947086768,1056756920570973072,8953887338244374976,2087421132986036162,3349599449778101664,867365470285252896,753780470692151616,7538141044181845440,2527535700928907136,6420037299798232572,2362161989352387456,4878765381141777510,229078204664552520,4581768519461289600,2905318201330434720,3717767986049410506,912169555503796842,3766499505822000696,47084347318671720,470864481533640900,496470769015110318,3360737724171450080,564631102211911152,4060194622002506088,327258524529744788,157711110676746012,1577181473753664960,4817875737686405120,2095872466706295264,4088115011864556360,3967258314550802136,1362769038570838272,629815051827250866,929580743716220860,5645421412661104512,1227791546765850936,6926959838202108390,1075397040982599552,3591993264224905620,5179728735774239416,1910618597214603096,8642622600997088688,3029193734128176384,1288557041270934258,2144980016767238508,4225087703398168608,7149219803303722848,682790121218677176,190635962340948382,7487169763899344652,1594709245672377072,451472324992925278,1081008365487629220,113902168792702752,1012508892709489280,763471949411437992,7505032333053983166,2444560043416911156,5617060418193812352,7797371535078619050,190853039858160012,636205181373556320,3946136585614618320,566721586860124338,1627799998746866076,4897869369423247008,1491697933680420400,7044950584524961752,385630978090704006,629993508402838304,7379965751214644640,4344425449681020564,6627189583682288080,754540292628260028,77936864590676880,1402926146222738940,1449133091479151442,4744252181916655056,1935828985498536192,8574150188496047232,4135799667861071688,3931874762370453096,773575554020030208,2901037737869698320,9547461632258284176,8301489539327694288,2455169830521727968,1512796279705516820,88387098095778174,2651731229938686840,1586982523481904512,798803417723535396,4586368856631291828,323255562343647864,1740808869869976,52226595751864680,696385673395179200,1741041845147352000,180981731792187264,7239592202123480320,1302055872582598992,64500052655665152,322514649291187040,3213099803848098204,2032442197369170084,3273497530444097964,3307885772981444064,1330891014597468174,1016208398555021408,964501484689583640,2554872276824762004,6818209328949949126,341472602982082992,1707439174039667040,7250717531496925528,5274261255289838736,759604168399575024,941310094916020080,4024273448645306820,4532607286419580434,1449344853780251064,2337255652031222472,1469442529378403712,1465001759439049440,773858264050267836,191625372681293016,5866735314255404708,6667588271410875216,3146178696478516872,1585742339312972980,9132957472093339104,3093379398798082002,526097688162294820,9470180772263053440,7337895704077148748,5426204353103107674,1271617875971340300,4822782361775028900,7108525336868258464,891506673034448604,1136812550310730656,684246586433096368,737495314612128912,6882916462655899446,754599892312592208,6603043553397448920,5598381341927261664,3546659959579007376,581759702512879980,336921904412365632,6738738631323938240,4338696223580247990,83794942597607736,837986799264283040,6659633678976055008,4385745848639737620,1210141309855607928,794806276562326008,2449620529161873840,3481021863426854352,3220875947778630480,3146074364193914448,1223076392629491488,6284581954014555576,3040826072775875136,277024826019717248,610052859675405288,8009865341107900848,1291003487266645360,2529084729307079376,8768453886384570576,176019845142897594,1760276953256151060,875453773705128504,331706350412617752,226296292186392282,1005806153277417360,2472739677769974984,2323437656884289856,3714274039140505680,7550998473305693984,3168442669281838848,2839571464370047776,1226746033513362088,5429688170858865936,401282871234689664,3078550652565116928,128519013642727422,408055370571840948,2877299571998482344,2822689988809374312,3792354119014399560,30315869975343644,303172219228691760,1303258778257589784,72641292272992208,908056646351665800,6610864341316156704,4277600880993144320,6883319535632813322,195131021726717964,8781287555229368040,61098841489553712,1018359435497730300,6683727417710824586,2676869596316475792,799777780727303376,1505316958057643676,5513671423512540288,3591000340274683512,5946681867379545152,1879416190333100688,3692397981980639040,1781140755111083968,985232935732648896,1192589866652096784,5715264560901196196,586695440146788612,2723280852226017600,1665135992476736096,7989992566697245104,2183651323244824824,521333679693183104,3527739693449212704,312175017542624448,5463306409775717440,1789578174810677184,70868967299266032,5669770190303747840,3530032184548412928,3271912682991656340,1705948071741269180,648074123197492632,2684329980306798420,4140559570793714048,4203268496216138034,5285291368517799570,454883819086849480,429017113662326352,2122999563430699476,5171420066163869892,2065942450396680456,575735241711231624,3044119498733702970,261473301761852268,893813672506669632,599349449357439552,1331947051113325440,621335534772627696,2815460236691533608,2134744179055471872,1221125541409698408,7958974232335555728,168834233331605952,1208022334836208776,4326749100034073090,1517660013970494540,6487976439892974816,4209509958215861664,6861691678831362378,63131555091587772,2209702945056004160,2961817913784021336,876732551279691408,77521620711339266,996750990328261320,203073324556059216,1805176698266288480,691235406309665184,4320413904715312800,6269706424454760456,4780430208027180882,1906969124138651856,8062181623307166784,619623841509680304,5564477436151073616,5316999203466570528,3843562269534679680,924794905602165072,1972022534336616384,1937916779837815548,9283028528537880300,1629260980877356512,14455212215117310,20651223804740100,619564334491908000,7834815074725580832,119568068293772484,1793600982851047740,7255031549831600544,1520029236087786816,2166609303788256968,2143568272792534008,3766707986604981504,5085176223644481608,746518719644291748,7575094446156390432,3109567151334042432,1179600052337196336,2993169411720239490,2213770507288603880,405070857980923680,2025444579749463600,693345712285033812,1857635330158914426,7818051405008750304,6465681266361701472,993870087262343334,467886235354583958,2363108234242386640,2645710635149566824,2591291764694512110,833958361742386404,5832942171433472544,5373457871773963776,130388818136372852,3911838917160255480,9744661478813053320,9363063782161777644,2463551101048320888,5048001907269803370,3429254331074674320,665243190045060192,189367095130838406,2525007152786399760,873577953102241440,66053788504152624,2642269316938699840,78029272726105404,1560655018848617760,5737961108338856496,3740481224416274760,3230749485868612740,1020625716210936440,2885296637346159204,1714096498689241668,6665540148338708686,2445642789570706104,533182299816274728,1955934651898115064,6429206106811790064,6427664295340178352,946871323436177776,1518791769943107264,1061701617689989308,953486772217485912,4946331583455651072,1865617741875633966,6967823085851024250,357931108040303448,312299128913230404,9369391465983878460,608510733134955354,4475552058911569860,8529066523934089560,2288291488402881852,7617457409994774,101570625763194880,2285440940540941200,721007557951057032,2355993146763835418,873727211623564188,6795958978528947360,4957193082931310760,214391305535178204,9648038746769399280,4560070830936086580,1605947801410166352,1490509538230297884,5478006166921714848,1640760521491869696,3327412905816263208,4128145011219992532,3055531664699703936,249036651038555688,774837189888936990,3215964788078322378,232966171518171384,1042519472790029696,1595656860188805432,2153331174350914722,3173565529887293120,894356439336713940,1968139278085235508,33008724003718536,330101951151756960,1650583314357998400,287501030591898180,479189739366974700,1713215273518937088,1010227853291020804,283287524730067686,1952418596241283056,5263103242106233500,4941450235037718864,3072408116211993168,755739737679467816,7067825647995298032,2473549504586026884,565634673654640296,1194991462566279900,2700617519306728692,809362725129591024,4117845511143753504,1561622202449680704,665397478668018624,2858946165924416820,1036043582715191160,3658253136015622752,2367399464577205452,1982965188658837248,884319522104513064,6873498013024968588,8678760467690727552,7135961491643498444,1458944009819825688,1853634417137968410,2152461701356676740,3084082538956889976,1347095873895501726,120679942560818092,457378348546204416,305637153400529496,1018835910176145880,6514090738348150368,6137828503256766312,2108808095854875392,2703156500803113432,268127619577237632,495599387682425136,584427343390601952,3681379184179132740,4828925734582530936,2778422471406737316,4829487836792042088,1702167626411111840,249539382581441604,1235717678333685888,4062414694150854756,280908600450647304,1244686533740853192,924889637091749488,2505286455365283840,2545902684721037664,7175168366812095280,1099697144567976720,96317266101737664,481607788919315680,110249334869676354,69359594669058144,520220138587157280,1734144393691630800,8103816496335581136,1134458039579676544,1944116942407162848,5049267916377008250,502124151466758012,644415243441170304,4134389075329621632,3897544749856259056,3956103320611644576,1135038682277885952,202914773630824420,934683079828317894,2361666311521275696,3449326561602785440,7194223259827489704,2551010166940933404,2902428798118099746,8247708750286908576,1621429055524892736,768917444628602302,196469446145087376,1964781995793819840,531807339650605952,3750994719308987808,1849172849715105216,7132928484977228416,1079844370244018064,3131575646752380366,554047407275307432,2770360457076683280,471090278769166848,1644947227644433880,29719668553784946,231163275912602880,990743891171271600,15448618455911118,308986134233399640,1796703263567658672,867746051088635136,1084730887340328360,1968121561896578908,4291577631776495808,3459247297290273168,6829809578210271422,3951927077052346128,100303979334644988,1146382261088004480,2357107838156361066,626915852493029232,5485758084577262240,809684438848283460,4183469384752760112,3373379666011689488,3030358229276215824,2988929079476727552,652512160472366698,6525412286354077620,3836203832894367648,8745104238532593536,2119567187544776292,3628922985105151470,676193793386625424,1619734109395110192,3513455418331109790,1777474835607865536,110238883151155968,2756094847597816800,129947372378595450,779718966197528700,2022025835592826440,5263470924169622416,4673355064870059720,1133715788245219968,1628272184010367320,5693124404985311712,4775769076388165064,5494379252233437456,375482313246376704,3230566907528081688,1566584431501836292,380051539600100868,1266894895432760640,4645517008700099620,1520628255142158132,4735535618261727552,176336423381520776,5321796512436118272,566452348177182192,5035356263164931840,802650811184624520,2703746682676424736,84445415513477002,6755934152149343520,5287583409999682932,1924738694884001088,834853733092058208,2631827152894065192,2172157654255280000,7776190010346300576,929836017474826572,1522645004651784984,4079403792126099936,1847720609423789472,6678449737544175346,4489650357338505672,3552783519954761664,621451294521035664,7990443949249182960,84307500020705904,5901787852187698240,1471502843296395984,4567147917586420464,7107154743837170316,1546038468917397792,377668194213116208,3823497605478328304,3427545322793031444,2037385996943240016,2778214040787688448,693686093442237048,1351498350794715024,2947583216061884120,791052737050420440,5242810402667624592,1053412348556358990,1900335433907257812,7504659748244515320,5735733691341593574,5231692787891255100,9158506581692853792,546438260652763848,4783229750337885792,6391380530188312344,653588116431544448,7468643346937881696,6879669442170729966,2080836385400407648,1494615066446471976,1158427361214009264,1441633137267104650,2045008138385744136,423054632312188848,3043219978286305224,1883445960750345936,456884296398219744,1265723031426242928,8242147384627009068,2789619047513835552,917071779473075070,732921282844466484,1442842439137819392,1818363564962861532,3879584341863528690,245066051615311080,3150989548660531800,1375224618194559426,4315233894526031670,8270798136238674324,1128664650406426992,913999160065480164,162825107917703804,3685016795773436928,2570332189664600856,5979541516916620562,4141518870077408490,3412705722465002472,532218815245354800,5375637299632841424,425716165143195552,3193013415465501120,722843296387869204,1228909050990067968,3163282483283860850,2443316587070513220,2989256844430832136,7702542594843558704,807576204203192892,1072128103743022128,2391645122223183036,1807798020464643552,867162357230185152,2168002424404934720,914183624845601472,2229239028009922068,978725613151945428,8668129758445742112,3226899234037509888,690848109717587132,723699459308468970,2753568719368813152,925154695834999896,436685774410643988,9721002931080602922,5222527430984751552,1960019064262127736,2916105820604479404,3567584189485872608,630524988097982208,7206320708015800320,178233110580801712,4750218990991168002,163187897091375744,2640227923911407140,2594610535302445716,5526338610725281188,378546438799531768,3313274732713976184,950559305644147716,5761620860571908376,4614767319426291072,5329127512290607080,6476340272146901874,2279472847925080512,530105453784903060,5300806995572238592,6621467980505634540,6569534191994604396,8063356749204394176,1099284162521093856,2155396111422216432,484782989780881872,3858163050098502864,6806592902874179688,3538512556958120016,6772784030476632,474115988813160960,2709354836291756800,1143010214623502304,1294567129001687112,1026094313957652208,1569264748858971120,7424038481379530304,1749639711596330496,5290010682118508520,3787043089155228936,784374220627366870,525217671140758290,5252410527179113800,554198371246117752,108806393676660240,680070234063628500,508753284031114848,332132453561277936,22223335605280884,74081083047161240,1481687617547035200,1158517004543732736,1087071872602148108,6065551610161583832,153738403397612136,3880664746631801964,7944731401570267536,9723855414965935716,7623247990942623348,725401129022671848,5537265320856083904,3099879355927958550,1333946743462764480,210430310580474096,1503140554917801200,3171579326410452048,1089816316381828728,3547913980956806640,2728180191628991088,716045298371559216,778099977870255864,3458376059160867360,1793180651012774892,218136959519461208,5453666732524431600,1885087552140461808,3972084336291305444,1103215231471771440,1086719031821456832,2008074386508233472,4132886954679475608,733288582438782660,3094313199003342396,692024273606925504,137186042730549462,1371921489347573580,710474782685585280,2505347585086542624,5496219148160683536,2675061772893969408,1512877108942823184,6415307751621653808,1802434821742360944,3939556181454307980,244272044992829696,565878431387149380,47038019529614028,1881604524434364640,1218029141987986824,1469938398363968544,699105811506347016,907093214738577504,177329320759260936,1773372131940980760,1580678510167594140,944033222902860732,3993497346007578864,322190798499957360,2008581585576369192,1171917733017828952,1889726718055698720,3726511966293083712,3996655492379495616,26505998480416752,88357260456822720,1767223856098201600,2180861536642235364,5525233036065146412,1002420980278577232,13282147385864892,132827384972683980,1969298437454640666,7550447453297885556,800246483129333592,1645908659877622826,395890879684506696,629778173397589152,8905821097757249412,3050566308046952532,1258270547464513422,4125857088973832376,216639123502638144,8451378801128357424,2294645541417934248,558145991417291640,750355932787299756,6738526494139027392,3256733808376121430,3847795414661919600,736627525540218832,1407679521374517432,3380859217179761436,2974994790130159888,918355271087232924,298695572015140212,6125386714793946336,5955189960589948944,3117918723616432512,1979107455148724510,625674949652651142,6320285241651849240,1784131181569099120,1882080992474690352,782998198770534336,1745122608779477796,827909403712185816,3504916224693521946,5058381630894109668,63922409685725760,2557010162209183200,7520072445685561770,575516909855949498,593053096689816300,1730667988941545376,2616586157985308154,7523728837811475696,2044445561548737728,3320796958573918560,5413323349495252050,5740550221397648762,417543627959179332,7556777446405054968,612493005990759486,2258963671357161000,347805512625026880,7825972229928880200,5461356596119373268,204343798907704764,3724756582295815792,413191729018013952,794784883942839498,1125493211039872906,2972287431594981648,503683820183678472,5278637890514034864,2717846263078939530,7150428259628303952,1401992356438283544,1780015277417435592,8892666610359812016,2199847252041464768,1965751579364689512,5549595120324669384,345077882405837064,557683624142999460,4470943894661472,44711428092039880,447134173177923600,63772545248918352,637753824865562160,6377821983875588400,1833758358471968688,3696287243893272912,2660063293887533952,8783781082750893984,2871372242223456522,4632993769893126624,6299866555707280680,3330713161936971874,2725862025594058164,7209191939414037768,1489258622858625696,6081500114564828508,548129384215757610,2192615075837559520,4680061977738910020,2233827156902457060,43069318351350848,969102772946959680,6460972564852569600,1477970597986870108,703363379500509504,1387323474142881792,1122806912027926356,1197002412778455126,1292362778806011396,5196580733944275220,3246469123084533648,1051591750095332376,3194908098418987584,649064777489606088,7328868210369757920,1689598632235359188,1653211035062242524,2165605398244056492,2112087092400368384,2458794565375612488,389503969458058026,4943470367929268016,7220776090699506552,1108579282144653576,3784537077330882936,4723384475444894160,2613509650666782720,3059238818358292064,7635810765329464608,2478039254214208128,1849730043828144540,4695967221304059120,872780392912517010,2710323130296878848,160723202455658208,4018258786281599400,1795796320471581648,88420743514688256,1010567730686722560,1323537339470416506,2835253288641283824,781231664339840496,4184054678907841520,3321889869388461012,8567293974477801888,4627400520105176744,1028097578313570060,232002587329119486,86822963176587952,868268248499340480,5194811886946315056,3363162076748292824,2361268278038343192,956778750590821200,7644017583615408384,1238881844535497568,1828297672948050390,1527288146926024860,1867763146121623872,3840939748652288580,7340445823310066610,1676608054560962280,11876187099185748,39589050972640140,1187724350565613800,202254771819520548,3620361303607580512,442117695692186448,6632060376455466480,2983972339735556928,2010095030602561968,8868441131765045952,4101736610531016424,581219609167846332,3278159372240606016,369799765073955806,2752229987147983152,689263631419263936,7754560699759753320,3156825409826067672,64711021456510506,1941416977652281080,3519854551183402080,971279859179237742,1531384485448246424,4731553967869839840,4121557240765172352,4066857820577997456,133100584046161752,3327662575799653200,8495339149064120320,2752658613547186410,8241608497663443168,1394752478409978864,607679272197087216,3472607400086533440,3394518556632262264,3265252568172909540,5610609226293440400,2785458707996784764,2486754688746710376,1862167960800836640,3664879061914740120,3068790799044052980,3185645312317414980,3870689587491436300,8196012049841700864,507569192185256658,1144671980080632692,125182717370093160,264293427281794776,1412179878959445666,5385922957355835924,89267046867698040,535626096901083360,2662058472007203192,2110535262157001940,944766539325724512,974018960400553056,194787062005448988,2483169349650334854,435611736754003596,3981239396933693568,4952363217771740140,1883399812136395344,907104598812883968,482333773252362768,2143800973989368640,877210132886216424,8349426238459356252,2805248845739318256,875517479770314276,3638961230742452552,392259489984002304,933290660755588620,1491365676335087036,5116804258475724696,5252025874640310216,1611321318639537680,238512997368797472,4770472034409367680,3212571988758157560,205691945039594052,4678153252723802430,3467534717843746668,1954191020546001456,1598301839771448768,3787159132763790732,4224388554676455660,1243536451420045056,2596562324248056648,2409415394957274618,178938527776678098,5340687439731935008,5332561064118820800,3974518707678211014,67993621512367210,4759765101241827600,403181534667562416,671999097907795240,1109149356395240490,2974454924853156516,8430009095875214448,3492640598383496952,3081608147185653132,4524322088233141824,5105804267333196360,2608042623019670952,2721780475723664850,457938290973163560,4579586483700043200,177364340777330304,3905372205434953044,6264013172230671480,8708008261944799264,3893522496363964110,6295390975746934128,1155289278377956668,963512496366192816,325071332039336916,8035242520125992608,5291450803034003520,4260932960770615644,1928609670257449312,328034557242026136,2583848852652037740,6064415647986777408,5603300509752765150,7661271902639718678,7488714444688945944,3640673473713970848,167825259594709956,2797211990894395800,7694194579690084368,7014928146920858688,8110998447556342734,40836187746592728,1837710129664846080,4589328022893098780,1299633292395546444,1464952558709357316,3476622865392650688,692012449221051840,1211465739195127812,1741889206189734440,5888947565131753104,3276592739900927136,639640954292155756,6643677756511331424,2469948899523046560,2206086326491620960,9342393449760590346,772420454264919438,325099284530925952,6007724079767636688,8108148350015554752,72876687414085254,104114180622272760,7288316558665228800,1714610997486126756,1822085930531148408,3580116701659771200,4397478655714445648,5194858768637511204,780507285793213818,1052569240606684768,3567908423584802088,4114554524725264074,1250352596656508050,997863920172168192,729960785971013448,1454082317273030368,4151150454591683244,327279535735180992,4084360538899546752,3008880364213374660,1163703291439022730,500956991992858392,1010581102108589808,3290567295253406976,1959240349871345424,2359295838432712512,8853718229306443392,930257862568225414,2624270256513206748,2652134769979415424,2994005862713421300,4839275800836378660,2663893234042012512,9239836110784298460,1011241132685181696,274662668988268596,986192186954240456,423674457663625344,3966159793628662416,5400166021979692824,10003411941384263094,2915116890388019028,1400947399602295776,1935895610719088352,662092386354756624,528027454635821568,771200558556436296,3792339110064922704,1385550893525264136,108798429166908432,1088032636772296320,4395666150102806436,2242677148357845504,9866075220248775264,6505929853902943136,476654319183512772,638605615359664440,746948412608521380,2562243522596165688,276574930430081934,2549074441735845480,2344241229220072704,1761751825099025760,4296434420320832696,1175001841596769164,2104864466620034340,410916899398845440,5753092201964667840,960181549874779734,8494089539763138624,2050284469117521120,1430021627901647724,3407798942332702344,2002851582229430460,3718137052435073904,2766334743454096650,2035183842299650872,131538631062365952,1151014158896716520,2576988416463175290,1276159851170156664,5885396562704860640,1164563514046351872,1062998649956832660,3855065971807870908,3115935563905963680,6085140857964029664,4429163260980085632,8176541979425659074,49586239458255144,2479422122313183200,2203655442896135880,3055818119013875574,58077922739471568,193601676479161320,3225274644478949832,309409372943929076,2920617657223721532,2348076627992268576,1047360445374954528,2733785121072877758,6220026998227655424,7956529231402854848,7236941804861572416,14075451627638112,93840512803226880,469223407941235200,1367170618519238592,1735807277338111362,1070770991149877760,1247915964268174968,7594919267358718512,4040726584889679372,6586992133250190552,4010824857268850960,958389456167694414,2129848955214786360,3302030455776565128,774559068621230304,7249449737804083722,552101466757615944,1495351340036325864,2070746474318782848,346960156183332732,1927642046199547800,1846332453502560576,634705298955649992,8160859188919476360,49476162607271136,1319422941621509120,1035619825611672576,5867639914679898804,2585030245689899610,2085901557300753624,977133173606817408,2484171364653279290,882377818952295672,5082016806928350540,1108931668356244912,901859156696215542,4378716039553757784,4550527073054293056,1583353710080633952,10115520034331156076,2099506111233823044,2151319384939736844,7278812993816001792,483455877026265486,2395720603275174570,2093317153961045376,2110004239497874896,952288699640956656,173296482438830058,1155361195430877680,453272920939899360,3901119041481642,26008615368621240,303447322577179200,2601092569052664000,8427109664395539486,2695185096986714076,1457161913623488336,3410573253495936192,2037941937517422816,6781299823165807656,8823574947671462976,1659568159520796312,364387968401421882,1949450847671267536,1189400334369598512,2262658925932848672,2244961814223667592,2044829643388192188,170051291867132928,1275441329014203120,2976072474564329094,4249164847790463060,5052254424397577748,7546265301033675552,4023549760539840594,545269331296478670,1557981559965549600,5911823628566242416,779807609794708792,3971472766789028592,2563942790482433712,5457033589448769192,2349534983615977500,3588787687766691354,1178047211606813504,870764819468073840,7296779363815743858,637424883245416242,5940789161255182584,1647304709336064768,586393596248230692,1324741929984143616,8544904004294087400,830088424532846544,1491164081737828668,3228801592717907640,1564623904671489320,5062354518682063680,6260564209011033312,434671356565729324,6228816383247910848,327025766870242152,999566778839023692,912363898728519432,99732577458324960,598422035069448960,4296044810968437870,3213900399330585510,2997933303907456800,680540019906117168,10139356797017095530,7305237985899483322,1279301631987393864,4981456604929729320,6126191250902640988,7196175623679225714,389135834761439952,1729569388551584480,6408084306114666714,129218904948186648,5815108898831126160,4677825022886214720,5868964139216070816,4831564799599865264,333503575506543552,6670367650578157440,1145788955277132234,818857873454651076,5474260773333875616,22449867599472448,898034572549480320,1108305180791719974,2553483784638422592,1659352113739932084,3933159445231371888,2946689941865860256,2177008049923016736,5364159301647419904,4900112049061734690,4916666940900686748,1800991398106201392,2591413909186214412,4734632689241971614,1076627529122269950,1586754172497879396,2217193223467229136,1130285404484075928,6605537462800319904,3850322696727061680,6119740667108146176,777992855517271446,952929212772384504,3835662827740111872,3392245329315255808,3088160753432279796,4758333248166665376,257463719147927880,596727367594595424,2121841301401717884,2190137258232048852,627611597217332064,2584215764611927344,3567511262467047512,8547250155734251782,2722896372365792448,3319610970906376748,375834144671038152,4443329332539464076,5160409546181304096,160164728400175680,800859189615173400,2938846776312904010,1648750086990017640,4158139810808037384,577331718491730768,2886786724727172240,4588340871792686688,3790945324648148128,6011985689978694552,4296534668360910822,3531172723744022400,4979702985338002860,4220934157443511140,1397056302190162314,889432406978130648,6918114660865914240,6129439023639503616,3295502199665190864,1825552568690719176,2955820908787127424,6027999575518160856,8350277631129475128,476370169245696384,1343870836069101912,2119148382638031948,1005523628721752166,4286249593606029312,2270755379420902620,5604555029289140010,3786992488017817848,2069728904513541744,227555716896227456,284457270324394980,1127317236612395976,7521872451089175424,960832675356293544,1450130920572658536,677734155345213260,644265573765165612,1006823317826737608,5650102419871185144,869561873123598216,4933732909077409536,3698461220086802400,117946796488241304,2359040617273709280,1535771938813467360,2335713353884421568,2815136464962922632,1774936105493415648,1011894583381038144,1975884245334293184,748001651800015728,5828433675260438352,2181820109362196640,3755724767230782176,1024997988628275408,1395687930958283460,1523781902600493504,3072905225637374592,554185764806067432,8769156008504818104,2432111393872714752,370350418361522640,2219182116884585072,2449094363776277880,1318558474145092224,1012057860780025352,7861470493057327296,4131148677184088064,124748540620560352,1247540761460012160,2501996391753213636,3082796289704224962,10262582228522997504,2239089043422377784,8204895644690501694,2235420974712544164,6246808535697186492,5546721117775093056,915609583799409276,8139112982856960960,1030320254943640448,16178067229896516,647151402434848080,2848772028079077468,1052048062240083216,3661409015782686576,3474751403624365890,861865268673677868,5275750759188545664,4734557122402514568,3090655046731762368,63561054381684156,317819372430401160,6356669470163971200,2713519056058624134,1455254886328580304,2482261716624532704,1411381362492465048,968619715055231640,1586717266800674148,6418999924786814976,3217548408121332928,4128298343809779258,530945532515668590,4379734975766770928,2142741343922001360,779802754455211476,5592819006093462168,332779439217439008,1558489915085951232,1234192511018033768,448356695158075230,5249428743204574920,591677698804905156,4965709358933327124,1052384296428589608,2731342293918744704,10121112740586372624,941796985553842182,258530011946742972,2658139282778804928,5307612181629758784,8182229185103679450,8603770484993012688,448064435967978036,8359857009500059264,1137956572352413968,1108480808509069512,1441338315349656768,1336279405643028576,9735210795728773314,3549377480597259402,3905547592211823936,1197508135110505728,5619315894963088864,898113313080303336,3159683499301852176,366123818010121820,2929120469035713360,2682811209747221784,2066804911264580456,78326898726589824,1174955596540144920,2436433129088290674,686247896750016216,5882385741010107120,3801458020800809232,3624110572162681980,2773547869480060860,2366528265433370304,7066016630539327692,7375106887065921216,138050404842227712,2761130561165648640,30087279456324432,451329209431068720,3218710589878835196,678811865617591920,1475035050975777326,5761625193049147884,2986223571138417456,5774097398776165844,218899345865990586,7293100586734994346,749983803219240288,8437692000231167760,589966965089545896,4915327179544362468,1282088441590601088,455157273901467444,9981439706733778602,762345121936545726,4426362362466985248,982460250446241536,964211189377760928,8266683063908839068,20524142718420736,179594213357035680,1796021782407904800,1618754519346268248,1607500995066796128,4596200526753122496,4574781132058730,137249520462459900,915037381348128000,2260746211839086536,3874895669853918744,2000570981308326576,2038412579220698560,2525512418872344768,571093291924652610,5583041172282597580,5798230909419902184,2180968119372667284,1006486090037923264,109315153926916626,9838800138448274760,5327402738559320088,174593397935235810,4775674848501784272,2019089504995360560,1094378310412856964,3608545008356007012,2145832032886503280,383795311082102208,1170149693996362464,904891283539291404,7533944898293202858,2088296694925311960,4368561369932059992,2301495410288805696,1548019573764930648,421076726685029124,6854915035678413096,2872042374494310336,2530971080268798564,1024955423465546496,4726136308279699008,5211306809140830016,1528129636735103460,740251968579949536,2007227737756546176,1252181599076097216,1446594500821451028,1656671150770513120,4050936843122477088,1848726180861649584,201023192045019520,1608256840145909760,1707227275968429336,8707837606086264032,4233020129526302448,3442857128060700960,7924640689318041220,8674988108617551294,2593210975417767528,4346969430591027460,3186981935650615680,4333299568717407750,1305730742769782910,3596801502447696672,1868091129711801096,916375346202921948,1262958097273247184,2564523936755065224,5741414381061494296,711204248858132790,541942928584109316,406732485864562176,2450794352704896528,2213947555361657460,704889774598342926,231130095487691280,4160526156425773440,93491009804300496,1246602059145601920,1219086113302381032,1823305414577101452,2858808383178930270,5234213533163342688,1317857297954460824,6628029726411412800,439084114965756492,3129602291533900134,428092999392863952,611588537966033640,2830436500458314960,161276083652316228,806416164212337240,9190217433712527872,5571041382214088070,768044058313494666,3820596885411451040,3622821116397162840,1314754150700898576,6868194027170242004,4706318628278545536,353990205547134840,134680408421766690,1346863783143557700,774950737332609024,830429380791803624,5539734787507276752,9880997852169216,49407179147376640,988187382391603200,1963114880687240976,964915849864248076,3366623344918808832,1495055921852064504,3320571850767373296,6436772811758481192,10072818298349116524,7270759981862181288,8345137516403790,16691014790363820,1502257911916363200,4636749556329936732,3750232636504576404,5928666106713626368,971820184467287952,2180498936392433664,1028361130513108524,9141392962847743680,9337764768388647624,3420118869519743064,4041049215867857064,2599613142517052892,5250929037422322924,61279292467107000,3064100415803212500,3191542170293959830,409238079824269920,1637024866567324080,808104166171601264,5050874873500787100,7757815911022602288,1603885489443781968,2178010324752391476,1975627938185909064,5894370917331659232,2910606623554607760,179197007712831720,448012372596639300,5070059393015107260,896664151872154128,1756528874168425236,2775602708939886264,5464529964885888,273238606215515200,3825510005234299200,5894527850177937432,2971816568911704564,1980738653693624832,656540728138609872,6285579730343989680,3684058294481323776,7824849451381063332,6187737561311960176,3191137189143523296,6243952128840032976,2521736741361384,16812323226049320,224174242739121600,840690660694848000,489401375048465112,1607853742751352096,1833224956281068580,1572909135231769632,7285554383848541136,3464419850935784088,6823186832975186196,960640563599992392,2108706570179467344,87490632452119164,1749890180959999920,7229522731659701856,5624464410273010896,351275596594540452,13740409994666894,549640751927917440,1300980518677654344,9099116832443887422,5957671220851583268,408930365721005028,2467485756050276352,1905211356828828450,337670415469561614,7430293034741199392,1368416134417715292,1594345106446294092,1025005442392898344,8886004170120115776,1220380493825490048,1248702314740102360,5640548150207478984,6658023531774547584,4042903394908863912,5684684864941655460,1879619707587739788,1860503133186814872,144235449994762368,360604599907737240,1046575937470833872,299530604636809488,2034932829302922696,2148949027798582176,2220555096813388734,4274631655023047280,3506060284156298304,3625231419722072952,8562391585698144582,2185236858568918176,661196323972586736,9918384219644071320,5302978708946966586,96816603620776980,968208924796785600,1634671190584515936,4263077497633621254,1468552452830083800,4947714406824116224,775466805707838900,2394249371405190684,2047896298559208528,3852834676513026432,1599192142288789824,3703592000499475428,2619415670019603840,1313996569084264860,616828493509054384,5351367201994263996,2741785970065430112,6328557738425289120,537924694333250730,6455382257404785240,2226304953665730952,5160971245282682976,3361321192134337362,804298427908290180,1793226423232371984,7014181570032761544,5158922010710662068,814241707278668856,4127813000715693744,282133199794593180,7523885226946831200,956020619355918912,68611958926500056,1029224967472782720,2218301484971022024,643655980436641526,1263905923975467120,3602623448658288180,2512539826168912980,2284629668167015584,1621662635608125660,7367983259858976768,7569649059070128702,3259962039852259434,967197455127796256,1321983646155750744,4167643931951072472,9017746853505299552,7364905016856965964,312367254845719392,1561905443459453940,1119164949470767584,2846601573313333536,777079044444547328,3904396977989205930,5861838771684483168,1442256539594511816,398750513340991680,7177827097581037920,9024725966476125924,2190639692582928576,2959818974414516232,1928402956234899672,1374009436279449888,8882703249485785536,5774736359951482464,5436437405952348090,1367320961998750140,10047099316709623896,699851329822051164,179651934156468672,1572024033274593360,6498103804166769048,1823561395062025080,1267864313890196464,2953407269924565678,3651149190543117120,2916830399518469952,7318293465322863264,1005933149556416862,3769174363427581960,1676750812674898464,4680168821059166160,321442926425753952,4821857393674273920,4223131740872895456,345321317145456168,2302244049050663520,4404981859224456384,3777092572949384808,5187376199244116892,3852079387453445292,2366084296019426352,4519108825244251920,1781738960628504204,6848821295890900722,5631620641730944992,3933359975567998080,7024662850333623536,3789990514823566932,3964512379627032000,2687044572577436328,1313968957538035032,5235971527497441150,3453894447933820352,552458308406620992,866497220725837272,1677550789889524948,1882601188001865984,71643209801530896,238821272119617680,117275169601807272,3518410848801219360,316478495002079360,1186846897628736900,4150721624921873298,10051399610707802616,2729469039914977008,8981706219879155670,1974272943271195044,5282745778767130380,554976434712313728,7995408993332513208,2903860831782305832,1334537288866553280,1352270170654926432,5247983482987200780,5439459326793042,380779008554772520,3807958648873276800,4661395898414575536,1548207586413939336,2983350647406848832,462854161826570664,1130665358500974078,5687122673034367362,7896272274885140496,3141004660387453728,855458091868286304,1563854163992999208,1232394428406425856,3653988334126968744,2322449622811305270,2228674260147450192,286655490391118064,1867221709776404688,1671422545659360280,2019193258818016152,6099314610339092736,5613045573251565144,402727627872397410,1053480308195534388,599808912107970232,163314128550627480,4195384391517412554,4641641286804983128,3300447760470319536,3479328693924203484,2412992125065151008,4090425340919790312,980828727324674700,3285452215407508608,166730776428047664,1667381558812257120,140778839820242736,2815701411588518880,66973107890528136,1562775014125057040,9583662842043262596,415417054904989992,216898315229938914,3003422917159060254,6011405011993778496,7554840573568674060,871944230841628968,2023624208903789628,6956961153012787176,5045662093507017696,397214858250567288,817810436291197766,1168045552003036224,6989255784179270712,5663566443554613310,7295462020129752414,5473829201848040880,3441477909955645888,1591793117943594348,4733625394706429040,937058714019449856,15037963505399016,150386289809759640,1002619632152247200,1517506498686338424,4654054172686466016,494889937175542084,2179209797851166208,771341481439768992,349029778985271484,5758916134273956240,6957059832077156718,2334370898583556128,4632906045341737728,2113808363377381404,172681117593406664,3022053276531166080,5658238123506443244,5325319540879592440,491631569418131688,414968906469267948,4149872681508826720,630992271490806960,3155100957662295600,3470987132068647872,1461226955058068724,1141928597363730264,5864672911754062672,1857409675673479488,5286286579340530512,2119814050675897776,4944667266661491072,2958667893494748720,6625527822957546832,504216075767337120,2016953538928563840,1439539779220898496,1215365035211002368,2262113954343014712,972191520672145972,355243769724179232,198881842076467740,3182250259630036960,3718875773982049392,3406546832502235212,4076689307175672280,1126548035818059576,5797803745424989488,1977859861129354752,3079095868526270724,7142882887015498656,2915180265856490488,1036864923266824896,498308755915102272,890566424055092376,938034214337561922,5484398091282268704,4827535247050548624,5076625881486951540,7008501758570938296,2268071204789115912,4229726404483459968,4194963602564846832,928702490492319970,1082514931242561936,3369014247821374116,453618017120587156,7671323187978415938,3267737905867994016,2270722402898206336,6911004675316316652,2466720773785048440,1217370582437808480,358609192341093024,7172501109079318080,1514217591999583836,3209396776556888736,3290040660144163680,5012588792194720170,1113306101648649072,64100080650566784,4487204120783042120,2726246085264590850,3041060211502268208,2255892113464520672,7576770537915245568,766800819939296592,7668347369425022880,1535635133235100680,2173647673195116768,1229583855607453704,1751729636611071732,2175785958205891152,5961289823317534336,819628038307119096,3462610757183840412,1076105977365371104,1772480537465808204,3978071454514337190,7302475795289496384,7284017063986383264,7096513824513194496,5870801954637336582,652625514747216450,1966523599788032520,5472583985751627360,7755818210406014640,2402381134859823456,3925676288165833296,2012246567755039800,5846338215402702990,1172572690281920478,898054276909412448,108316775203076628,2166431310275429560,1557772109265537036,1727184674813354064,235501770143441216,13132553213479590,236396411715041820,2101394364354067200,2213428144568095296,2916361026297825876,3204157884798066070,1597104420183790740,4359068845132873872,1403063348270185080,5785046164457943240,2974551111778783536,2046240638313541856,1654382190602337984,3655849323981696948,215041464298716740,974795710504454688,2053560271518337464,5355578931879802740,386404508880277272,672899929982534664,1121549474817545180,5054053874347317456,874913429117163960,1692741160359566736,1384836032840373108,4527712389937185672,5865658126557963776,1097474576211894336,3519248915883448548,3048986189922168496,2255352028655120352,3729779847875271168,6795819452550343212,5159106429810973038,2482118872249266432,5244941560208616952,864535087626039336,5546042353045397154,5170836913662312096,759412417436966736,1330934235427578870,923559999204670968,5795460242768849664,544867787269408968,3195418558768555370,504746701482063270,338383597907734392,9263053735652535552,5239745799631121808,1963664470179259272,1593910069488695936,4074443740381653540,4333655326897976256,1412387085891247884,10587054871686515436,3491273109321362376,7262263658571378254,5711558506369190712,576442886876621568,2882341854071139360,551359484614427472,1979515690840680174,707878757553585860,9829712585171136,589808828032633440,3932232679707651200,808143534716473728,4045086659533872096,1370771392210604816,8560250241230454624,374391290822586768,4680098013954519600,9988607496431316042,2451743163172838370,1508509283586998528,5655063956026614624,5873485242378826350,4548076301724579544,2279260982276167932,3141599700967052544,1559522443186369656,964078627451435664,518995541372045280,4152147859355186560,4731901384494342960,205490995399298448,2055000785142338880,2307681354387173952,7359801346433794608,2155866330591533984,163238691635768832,2716728628653836568,5933471180469316092,1354061199287250684,4871273201399083860,911821998648197472,679677613675995636,6280101221223602850,3558588525570891960,221776099253011584,2587502183002954560,1248141140842136112,1900003731374098620,1814995092654021096,1858134375710758464,7996586433936295146,5600840409314928624,8266692175794593136,921715929469747302,7626382984008627984,528624081313546704,7929711662141295360,3274893403597689948,5880981559458105952,1331637087430891920,301546028418805656,5882789894881324284,5684270006266646850,821474364775957560,1128316508171367504,7336770267377473056,5416292797440222636,1517071045527116736,2488237206496757280,2008988072947272768,296912477838916872,303130870185887148,4678407909438572736,6981547212278124750,5341559067165117312,3074855884145923680,4775441456966911744,242053895298963240,4236130353335082300,284615654714171240,1688218378987467096,382467563035484928,1434316739299083840,52771864373481024,3694193738944521120,3841178100235166264,5309623932571253064,1966062715022882976,1486671788609359872,5407876830966472752,847697262612751170,399109966840208272,2439132040931021892,7244453200040175672,4440440469966321760,1204035990415764792,212861666270670000,7450487503766037500,8265344190861118536,8130625471472277312,7748669540240045856,443500096768205688,3103445503905510582,4399621061687842040,2585413333379215440,3941651800092378348,1659658821395646148,135131673115813752,1351376435025789480,954339378404435262,1628404119667954512,9367716032406795672,1879835159346119104,5568744033710423610,484283709761418186,755059744471399584,3236113298284353360,926886650928703542,280458071421497692,1310080516552682424,6996542884641225216,2613107185606304420,2938771868619134016,483930885808874592,2573442598441377624,2945208700439405736,2314048532046568272,202430469403495688,5879424046550963832,862777371338730864,4314077427903965040,123969557363082912,110129243497504008,2202682170082769840,767787139660590816,4553233760532427584,8569920287827243008,42975037098858672,2578616128979657280,5199089735562725464,950917422671958384,3997755854598721380,6192270123374014988,3297962586829724712,3022366740473732544,3108373291638861876,884473698126573594,1093662229189656096,5085216416876382808,908770616486015544,987169685827278294,5516100944138733216,4468891101405366240,4463766537519629634,895806741560705700,8294056489303327656,7315435034542564128,5056410145610685228,877751817556295934,67887115979535084,1357802288766100960,1716580459274949180,558970279884422796,1689427361762224128,3323353794364176660,6434389639860372270,30840418297520488,616835608186534080,4267033540199998272,2357839262482178700,5548173306156218610,2913978676184564184,4218680361713683404,92787147232594110,4639562256966169500,7767753040651216608,428395371535956768,8595258562839246246,269739319961294540,4316019720495490560,5171703150882324096,4757870364751888290,537536628156081276,3130872341700280320,1299890130505509120,5249666945676952656,2186144985354852330,5668473209593958904,2917378427207067648,2012837677864251408,4195442713704823752,5921131244560590384,2930827977110151936,300154501430516094,2001118373577123240,502140390405473664,1886284019795026544,1274509110768237072,4860752258375687592,7779459206227362752,1968853831383393216,5996463079917137508,3414005236622326724,989920771945400832,146990184140664252,2449944578166204900,1020951252591526704,809849623277770812,2255962390179147104,7609528311098801292,803930211153862956,906699498925730208,1611768999778396020,5920724821762577904,949658881153296426,335358403015376616,3902218454658695424,849964164130970532,125471909016013230,2007639182839777920,1048498018795201728,1091962042774397082,119704706508799470,1675939883171170120,15287907399935088,1223086590103298880,1696559417539493390,9125423011667457792,3110276769414963840,1903797309126265630,2041095643407132336,1022223292228860696,2109756282739029696,3248771005627007130,477632015664307944,4046131452533608,283241705693493960,809297743387474800,1903738433374867672,2377331612883763944,8218271077784779704,8218308035087411216,2998811937800472528,354318807628725216,4648901523352493472,1814515702152762564,1476652605330854772,717856630386438912,57107330638767360,571098516163421400,6853484722780029600,704631232819903752,5458614985655673900,396836085510148508,5552279525098033938,785351201150112048,4947014663098865616,3333782802878353530,782879848216721508,1702638104625923360,2045250149753497632,2085226902751894272,2980600873461406470,1613227182551556192,2750476134198611232,8074705214155815472,5040870160693961916,1668276969690602112,8335768212612906632,8273292764614277862,8737367293847196336,1360640871683038484,3007306129627565856,1830449318969553480,761838506546478498,7618721322230782560,599613579999694980,41910383639028324,349268611884996300,1397136109455760800,1023724346838836640,697651023718536444,3042081954665228970,5398508917600769232,105872392594483020,3176311957642235700,4575415364210124464,5629208281193650848,3217352697668419560,10634122207800302148,2158798320762691644,343082868613120512,571830016444677160,8514031741674899616,4432493672169638232,2740321116869037856,6233772700058846976,6746372690450580096,79534168380985122,6363014264486490240,3965417651597324040,3849169843595188740,1611036175424645052,595701966463965984,3547248721677886368,3242282728855223466,191065852127893446,5732228509380923040,1599149390751396720,1664439748905096648,3475109822164458924,6094582965541066032,5444838505799163648,237401316012086730,3165490557453999600,4489792403758741728,2220571295576324376,7052234347333556172,669436201464347556,4332735753117812760,162560723808466944,1625678968079139840,2562034628801440864,3886021722915283680,4402085309612154792,1513738549743552432,487129980593494458,91800038830356936,5508245360156711040,815575114961611818,3942359505134759712,590433905986318848,4495321223603436864,4192096274741268720,139823744284910704,174787391849418360,3315286631901688848,5207282375237391372,2396254771087971084,542999557097063616,2267223574395419192,1695399460667623512,751331546018510226,1073378134343822120,5838264267993394560,8227274016712214358,6932731107950822574,1054946376327537408,4417374500999949456,744324967292067216,44454506898951138,3111952766398710360,5142604840192222032,197285135475909222,4659512776396871724,2938814987699178240,1092055332308385552,457301064156986718,2294880533042185522,7967805428048634432,953640642686446752,5891231576410300670,2024012129827737492,4367064623170610304,4700838802402849792,5848898173387686480,259053727988119776,196573162064329448,5897455000011084960,1009467182141266848,258768099363624312,96647145485539248,8698626782530981560,520312820980345488,1734452574168227040,580827231638544552,1018470501579436032,604615648969504752,5023770322474571616,1166500055756192800,4167417304940542848,418386867281555832,2362235268276559768,6685868718482597424,2173030807332553776,195354837681229338,2511815840214344460,3158706197549889024,354111395760200788,2289734901133294176,2659566850693622568,5919076447444571940,1170484395252073440,5295145487112802620,8024265663584768576,1770506997754377216,4153743696596239020,6696652018407014064,3361369421445556626,694149420879341460,1137463715948980848,5576166519401445264,8784656306423325090,1357027991481251584,4476289706323884396,710743838523328368,1733513773252555014,7856179306096292928,1589075687219884416,5354747759564225870,2230950437803410168,360963937376408712,103918407798974868,1039229905743293220,9238006535374689600,6766497048723063588,2246215565579965056,5667600356660920356,8086684331084531004,1174174895634859776,6430626679488916752,4476143847327200096,1565342419148264424,2821776424350927372,3676704810211535040,153103073019804468,2647521506701631664,6363881030450867616,2069436589343568036,1793684014491278700,566227254344851946,7747483340796514488,1026825436758228840,3412851508741356104,385303745882873754,502608160076040288,5864020420489760760,5865497830655184420,5546241960529140684,5029324834086532488,7063096684285145088,2891334001426149186,271481215040840988,2111613661337816160,3687012221076323568,278943471155200900,1548495801993651504,1468870516238866488,957177139277050272,1162563044739003138,1837795356689747592,7921966765526611712,2034323438494722984,3521904184230679044,224951007392077376,8383325168297340384,1731291575586589248,1709697882310842046,155312500326918528,3494685320542897920,277279304031504764,368892253894798656,414458249571250110,3315812170426823520,2153745792019005408,2302831493999549328,5553412973376384176,1860849520660923360,5327881636568964552,463145641176169578,3072585122977812102,1866209149316533032,207998711165155040,5264587520092981836,2846362914416420784,4610413270133497984,1402563656459137224,5992975731296080980,2192591893541128488,227919403086524460,911717800060272480,7596597945490505232,3222877932537869034,6707865533640254208,2809529323215591648,1105498709028246696,450884314773648564,6306785941823231544,5305375354231712448,2509258124043433548,1143267859290706908,8119644150440603088,2983190600582281740,4607244728300764176,6162909733641515274,3315629934834129840,1066235644456964128,7220237571274178304,4099747954934350368,6504650733203419520,6346855753663637856,5745664229421556134,1817118055117499750,173436691391490144,650416258103420160,963804694132638078,26293205853520992,98603867573393760,2958246400794487200,7901734837217118372,1043456994844385778,8552129167319915008,7370295415580228544,2673898436348886384,3357393702400128006,9454882097034392832,7798096625292166176,973738746656293788,9737816596761400920,5897830982140498560,5699451700778741472,2126285534069120172,5939488186281770472,2314591367898737952,967042128459840048,2844806110788779046,3582458876284690512,6893848839828123936,1608533913438515448,3490314822100642524,2984271295232067876,302203065090512064,4884847904399107264,617349589376331600,4630325950527183000,3373440238254105096,7208629838468207424,9284088158304105168,6005934557270740752,1895905395820806048,1184590143075974304,549091462823714156,1997745575312562048,1255255679230966440,977886662454336480,286962733015754544,1275446121302855040,3878017638108375040,3616208532672265992,1358039785734790464,981777787944932756,327800050311790368,3890074415984864496,2807239592014395512,6885665964779780430,362174061407238048,603895408803516708,18404139779300550,184049506478269500,2944921847495408000,178536665757312792,2975742195951863700,4489005503798231424,3205486732731387696,3440545347596257584,1803567628094948526,3545431740845424036,1899736597478032632,3135751379799314496,3163981768720177968,3981038477817661128,4172653221473422840,4518289747538525664,424590545158317594,1244111406691015284,1444029222130652640,4775978736893087424,4550194856873684144,3011771497144721364,933633927996137280,3295092549206845740,3291307440591374820,652001783993209476,1433545670547951060,3459187377442385136,2615010242963523528,494558519970078410,887888245300990848,2219818393006728480,220284164014287106,3976298722596531672,1619080421506568784,1122580967777817152,3108228320621876256,774676570204974366,492325348494960768,3887759315894179932,2768849955958024008,1751959081369404620,294778037205997308,4762053397307643264,1814416329998841888,2723193726591942846,4275722077910002104,422765383020382500,1811931445633162500,9609380570254565376,7870303850825911292,355381219238987544,2268433090430660736,3173104468147564314,1806516081816329088,3376359247243830408,3935781268198192220,4888431560449828512,358976118841378920,2991599408601916000,10280272899453864624,4768440832167934446,3198052967011784112,7499689692112160352,8112737351962257354,1081133395765086116,2817079224614649720,5541928788007930752,5877145659245211252,3335767097942728890,6798508218722848032,3466767409659091872,4204940535926209692,2860695257476156290,8469828794461687008,6292541518663809024,511652042239729122,1359550970719811980,296697233562114096,4900246761202592184,1798448290660811808,9195220981070901312,3547512042919649496,8533317237706330496,4872289499557310520,51922929590426592,2596260800027366400,2420465765961162192,5171845348211832180,5844182155430744376,434309479181872140,1414837261874235936,7101163820158347030,3587729260031518752,7636601987244111816,906003190796364,6040287225010440,30202765940053800,2718368622439524000,1191554005961602272,2216575376677050912,683835648210913176,3479850201582751248,363144471683046696,4842139476662920480,9532429776889635408,7008773414075545308,310495114835882432,3396806326039770180,4375969734688442100,110483933579840128,947046839207420160,730807970371080228,103668490665531078,1184834912416787520,1607230253471251824,2270285292422452248,479811687212399340,6717659355853662720,5514615427034662980,865427007599963568,7572819691944918180,2219803004277039584,176523103836730992,1654772447611546614,4627458652581824612,1083644474292840240,2814739754734777080,3096002541812591488,912872800035818136,5534695577517131592,6536292329180445048,5960697536203946250,1988259629327585364,227717014485497504,6377787543195922824,915239820604234308,4563385038785652226,3576621046412340000,2482242705413664192,2961204156764128032,462307840914833424,2611311627921870912,3339264989475881664,4239232860540070512,879825241408769832,1471911929545726860,4112469475317517824,561619395813232944,1134335737380713268,1223658948147736608,722597989321674180,1150224016207481470,3255843038210793954,6784282184740665264,2584801422221556272,139349205481199274,4180660164324383580,1997550357595951888,1844341995769190568,1425233260912570116,3281763509993660904,2730814000816239072,4147437813816148152,9555703488608184108,2671899963616345176,2764850125090095504,603815556366173624,5283620865865364184,8051606443683754176,671055969079746304,6460752971894727744,5012411678894099886,9712898761502119050,4245795241092605376,2650173305761431216,2550451465516785776,3775497300060979440,503380313820524976,418465015210434480,3347867446064514720,9624927930907626324,8642453581740158208,5425159363307413380,3346131155465020932,1007164156978957130,5581677186426917772,1343294207344856448,1262117045311014140,224887049615821890,2063441439879440208,1737728385595887624,4616296875453624480,4977937834180018722,3073012988196126900,503694754237506192,166888579507341504,3610684028150577072,860521718714361264,407398202855009580,2444496773952023340,841652812812974436,9985937795989342776,672338138305567360,380209884883570134,345587484129873678,3949745027342801280,453320919496647552,647629807481185920,770498103900883380,988494170023360260,3034805294408446944,1383907050689116120,1323893798987545584,6982483744866713088,1190217820081511448,3060566370313673304,1697892811082150520,2875309364480271048,9478493005647397104,3125080119459999888,2497915589086853580,721175183000274816,8414080627382149440,4196018758122402248,4425066382721403672,241461177005074464,2414717997431717760,10439264464149158568,1876920269060521026,958271100208930080,3399680347780740804,238176691503340884,9527486772940517920,1866830751759327864,796936703699113248,2605716453854650624,3741621026484192390,1992293543685432096,304350190958584776,1014545264134890360,1158103589176350144,400809921776337304,2352142140478208424,3639680557659959736,1913888798729170416,2248356530648941056,1384167808254969792,4079416905105304464,1960611256646541468,7664693268559163232,8301195283413945216,3061813171125012060,103799113144404150,830429430472971200,1710860672666264328,64133093376864414,641359142514956460,916267646159931600,1849302185647495608,178789551774555150,3575948311333827000,3227202486595162368,2965504334600830752,809943547862888208,8099791710625268640,4057985624257315828,911861221641284736,3413904745213796076,2412437008524822516,6413123752188288336,9162332523736321860,2853453354923832444,822874300279989948,3594297570958174752,6621144861200164416,7564958102571193728,5419196965140382908,2393009916403990880,8961272156154754272,1016926291313704230,3247243103875810584,4712128755622733664,2602304169966303840,1262668972385372288,2136356270639851284,5047503639766599000,631642325903654224,5706683874403652448,5104310804251694250,3425201912581531456,4909474131056414784,93998777456793960,940029109588981200,10146114097281695952,804002854343956668,1874016493575273216,4478528790453608616,1325852258084525724,1342117912985850176,4165845666988313070,8469148621347693792,1601637167365691584,5349225740163178944,4559892912053289360,2419289817947815668,3619004889964427880,6724089306655965360,195060418347516282,3635265277319553090,5761983746158516800,2043094721019137616,638304464795552748,903922984717247778,4250572286635108764,8409492307997963136,2880876628139552112,5410856975332340950,4116881069504323776,998510293228760928,479278310327821080,1917197528416426080,9144483815476032012,2926894756890003072,1209891027175974276,6473762966568046356,8942984058694768992,841444288678828512,355618656019750356,2767290681351229190,3814536317329487376,701205063519087360,3337734361640431302,815296530933246096,2038330931974374240,3526303744042216848,1701117349801683786,2410260736432883868,5125258914163141260,3142676928775209168,1627637539605407364,4718328878320045296,3582226588215524928,1510756626469616064,8395177232900033082,2248078681207219374,840909630499134336,175894881871878864,533289483202691058,859934226086256504,4978615048578652736,282152585390450580,5643299755698719400,2471611497751217298,3530829373432333632,2201979918268350792,3661752436895273478,4681532571220319784,1335731926490788704,4925753684015276340,2271067300223659344,2316506407052629392,2904643823142527552,5889371173106604480,5179084979489572914,156402795280483136,782048347578059520,1610920152672092724,5373005077520770790,1863068037194993208,727292267617061388,5691801613342675000,2044983602040314796,8588585603869835184,7626600060643007488,4716621201983492940,5900542427029106934,4263667457997110016,6726445622353788672,7307855515762840416,4964463585867034816,614461047255225990,6144880511579223600,689826844386110740,6841652642849334510,235781063541754104,7910901259661070412,2009832387393534528,339684353250662016,3963158275318766720,5999185067039036928,392937209369243928,735650901935139906,7356832293584672820,5637198583112099976,2735470622238337536,1394702630028247980,4159619762900939850,949006466056038368,7128576658208122848,2179274371098972966,3280979006824645160,419001171274050900,3528607264098942648,126060960693887572,95561975853893322,318553916168640960,5094887981558889976,2267732476924290900,2223341152946035056,2890229055470583552,3012946874540646528,157564105509631164,2771738166977312304,6037385333701916736,227942707411182912,9451099572304935474,3996063619085771352,3589832608827294060,1892602789002613008,1746726506782316268,1010321568298964016,232597887143173328,1661486473591319400,5180666828181159816,102340781562904952,255863194498158120,592474090986661248,1975000401208709520,207459168877661184,1728902359410585600,7980205019306783296,400614406799527656,735814989989424366,6307262704021799280,4014676460728775232,1077985257772939020,3276026916444992892,988462453781617344,39875372551469544,2392627455889527120,591238904905291836,3957633233979262464,214219094074999488,2142285043955226480,5747244759367356870,1663027366785735456,3716076951968381856,3807586289942632296,8109570795936959394,3138648067295884704,1836736151684051904,7452691075776486918,795929404121271684,3996224882666051616,6264726615185319168,441848736534239676,6514356648736507878,2160229524307517960,8530071238691917056,3423150828617093832,5836132289958880280,585750551099094216,2789936789632025256,3380986226484252430,2407994078846736600,4367265612087595296,9552098150697338208,5293233871389780288,1179296053039058556,3619662911172602112,5793484603669716996,6175203412994916048,1752268730900219334,4287056887933863768,2947294606846700880,1196199973010755342,6945535219027416528,158986634229193608,1589936165709524280,2948444366677400448,1219876816281330852,7717740274099749852,9292792694952527232,2075026991459523288,1020991636340615184,172418366706573504,862129692587660880,9775037140859621984,6714910436756831532,274020401598468588,8220973048827456960,500203859147468658,543821679553253856,5438455604982933760,4409829521189478540,394109532595130490,159938605654005948,3998640721799921400,1782784528917058224,7049550046538171312,199199594344993488,5306179737694176768,175918072602367808,2625459286089912690,2514143299694345568,2022804350450552856,1142667501345554400,776056794461200692,2480002926001813156,2148068580994749216,6051153405060688176,10745911325802872,241793620881376140,2149370998434364800,651921118741126224,4691746284565941630,2959236781396474392,2447583698966480800,2247285929947439304,121622147542936326,9730198987945527520,6282035072709659496,2944746488004750720,5692501256919447072,2522359992968164854,7968663782377544448,389813727213487360,3898308410988499200,767660048827342296,922190385660929924,409213364462026680,4092313295392037700,2311664813021152164,1455655945944219840,1758982827300390432,5519570926328957104,5039923075229908530,1020157356786452340,627018425776355008,3977959098304952568,1797440490834799800,785118039042275032,433838534349778848,1888709175116207442,228050964653339980,3420914631665041800,1100262961248557664,1110692952687019104,303640800509490396,1126438515458579136,2742314412969496576,3361195179918808650,3769962461091559530,438384401973903032,6059151682915006368,1643257552602301830,3177608507297663016,1391461042115298048,1004506004957406216,1330824441731739768,1449002862513011916,5888991070465765020,3210986585024164760,470298334717172820,3342358190715410862,7829521811059328,39149327269716360,1174531366422102600,202198124844234334,3137291663953784976,3750884916027488064,4088390770282929858,829125619160604174,863833774308075648,2421209127964484208,1927838984681684628,5836357544684800428,3181252213688556828,1397501825960382048,7167273791817788910,533918537143767936,771646600526305152,572167959385058256,575924634942892914,4768896193469811018,1859775955629695820,55538575899425280,61712236846494900,4320046151084223000,10947866235522930144,4059339677812463376,474506400105788424,9069112629445555664,741702445158074928,4306621932258381288,3587839251546892452,3228232915974254904,635323007288441088,784462168797113100,2307308611613029458,817435693671737472,2213391016823491512,4722358696261097280,1950173523891032166,302615617423988330,4921928605470935808,3570111555712721712,987923796258500584,1029086637434956908,950596109833614648,8266088748037234624,825642084040019064,3673233962439958026,1083397409101126512,7917671111765523696,149222547874157274,755965450779885162,314253007727036928,1571333977055293440,207110114972648722,5814703063488208302,4318178235539677920,5964806738668953240,3819929759960370210,783070001053039296,716968589614947716,6760367326661283720,6802481592038065962,1031567877246745366,2328305270511831552,787427614124056740,1335221484378222616,6846826898297351808,4446168062815730592,8299545877371921984,684983488656365334,1929538042228525590,899389215732534560,1007071551130584588,971044192271511204,145657791643573786,644934887525727252,8173433503477409832,1558335911157138904,1193709258056814114,463492344059333136,3637276498746484848,1598630561521008744,1623703259065903884,1332553023883906848,3915461301127605504,2187249233491535436,3994494701686438256,240683339998919520,962775588553640640,3260431023649685154,928734141463315692,1770006196302857028,8369284156865452368,3606616620227828988,1040496349113496044,926787619129458944,5434308295289117784,357541820477395506,6538448696346612528,4770610230060219840,7564123940472717552,5678812591959221808,763158780107795826,345572501351197248,969388773852086632,10055350491050217258,3678834066799746492,9653856045703117668,779281015169489712,1992315681151530696,5834707114185049436,3495630726217498752,303290283861687924,1685019915312671900,6178263856444545684,119571712097752068,9566156467298439680,2287931775984068346,650916083996878656,2299797429300598896,504070670980842660,5040927758935307700,513968938617128416,325587651766101792,407002411737009360,3033310446660823938,1763209730145037152,104945709510622656,4198012457698693920,2154520594394872992,2447332609569682896,344916126265746804,2879309209943708928,7074691592544625104,518353622873148248,204022971560168736,2550398969665937400,966754711939289856,10876467393610223040,2637336465246937212,75050336383644248,750536270772282060,168940104160772940,1689475114839275200,4441226900660413560,822377537218782390,2795040316937720026,2306869488243979596,288043311826778112,4320839111771111520,4864717107641026350,6055195757695646256,627640775088298920,18837116744731188,565138278257771160,4709692125672922000,697223880456555096,1483723607603807700,10691887003210169730,4649281451726855328,2053098213370086900,367311218841544714,7082722725580061136,2934380853415932780,5297657914489694784,311404208224325094,3114178597380843180,407586833901081184,1007502679387828116,4324524924399012960,3505042678154672292,3694989436450672416,878070591373412184,156043861992165594,1040338015565320440,213437230670606976,3549163932068506352,142691891694815226,359394477712974108,4397698056834644128,3554524579444585152,794896386603354288,4416284609331429600,700371426896335656,1000574465955640920,24847342764217032,1987874550251464320,4948702953822127632,9134561180196660928,1501841541773131152,1888331293143946782,218951236888263680,1642206251898372600,963685157882167872,1074159227173058158,1512702829533270864,222700982063170464,4454214855181024080,10639137240285225030,585886496817272904,4325858410413908680,10447583354192424852,2600934841578697974,6092403462678881040,2840950007443526472,2186761492023725034,8363561241646616400,463945045864995744,5357266999538916312,558927839973851766,614139662390613534,4581230667887212128,1267681234479821952,5182173847903427244,10276311676324412664,1398783920984597568,499193279495895468,3731692706446258422,1194266068279971926,697436523586910844,2907038313346698720,6118375099630661340,400408974919048008,3761930341326753120,152295446292000576,2284531797642003360,231949346738623416,1546396737041858240,464400462003588288,8127364198252825260,2519017859151271562,6590311289448238656,2947252668871211712,1072546163558781678,2169417557669219604,4898447649421385700,6264685132387311696,2624952345392899944,623407645179696762,9854860772847717632,6378093199295495496,1874280991717017612,2489454922406034464,1190240206131592716,1289701085101389888,1746260301708926370,4825573335320961006,5109368801772058560,1182686719921853580,503863024005576048,4408994617381178580,339490115481945120,3395049889220035200,489827306029430322,8009065425667615386,357047001251551872,533758412337807348,1988276527608041112,810610453786694748,5365294672849805304,5727618841694804736,2350940322469226958,325508152191666408,6762121250703728112,9180980956250280,110176597762853040,1652721363400453200,584279469677141748,5839393413076838832,4143747559189838380,3095690056917997296,1126496852528060640,9005940647718496812,9917029960697937744,8991616011592138992,8534659091870491384,4595190677796053760,1687349356702127064,3682188702526023216,7600394581823489832,6496175782257039648,2550872628481624630,540267490758679992,6303396809404663920,467222798775371184,3249211890179382102,5639032624750526988,1073161890006504576,3175227385848533664,8171635616882483616,750522930286362208,3114572302524380940,3645892954554122016,4356225846301829830,8336963406620112432,5017739487783188928,22207427673012360,296112003778792800,740312430974406000,7163374001151719472,3922539552210304656,1338657806705899050,240067939830166728,177788740658722466,632845817284237325,1742929148861608974,1412236323610333361,474881108596213098,681927289648954776,89202560911912215,385988309154770697,112306902491831160,702069622941229750,917180304124317205,73698122619409050,455107648953003532,355865902264250574,166863122117281368,1253184731509141962,352988013713111475,939651045176628612,142740423146408088,305250215784012021,1764149851613989623,892666867682860780,947028235263093570,426720645051721716,135661380948155094,1180765513747298358,1076564879894720610,16012470728045913,480477440264420610,67570450079444802,2027549336325784740,413233158283798080,97348403615065320,1168431870366507360,467362015780017447,174904612711670304,1312066330043878800,827441575890191184,786023752998375960,1069540779694464455,266642353331221662,599180525257888575,1382785429239812336,1329072839064763954,103215110198219079,35653996362707532,416052469128090900,648423733532739888,323085294856595128,1029808949685380109,748231018189954980,651732873626737215,841269583554193424,330699390593122992,1292556717790624362,584761719076282644,1828557704097561735,693872260754789283,2293375103973729774,1161692490546224115,20956102278549861,279474441159815800,1286245821014624862,277601725934528552,536539096284265722,849088426624442403,1639706833005035130,35115145662688322,878066115629113950,626810184507482166,207564262894470432,1472169965153655,29449682590280660,294559661056975400,182093788429056135,54058322137457644,946222377436691950,361137899691254790,340706910448355216,535580204061947387,1489255306941135456,155317438254136645,1639010756632288,131148787625756160,163970894668547200,261600611558529234,191186910362903730,358757023286057678,240317248055948992,506894547618522651,206118843576164436,990580662945180340,576880751378784108,1023793775041067205,665382540007948340,538229294924027340,78048378885911640,654269515959411065,11186893703966805,559463482840160250,241858554945492576,54584375878936230,52933204320905252,661805484275256850,123039925864028925,1722924425428623550,366418157374512885,726256840554905928,255563245456909802,214982226739382933,206331710710657122,669730645801078440,903152888090632464,175536339771816816,483215368711701605,1481963359062413912,58434109133227770,94976280294339969,168077445428095131,156035215729980576,776588766214365078,1759879088371012490,1168998040388070249,944304024454828488,11218792852843656,280529118123258600,273255923464440770,1034582353103610264,2239013233205167302,685985217953156165,65805979324104285,135506700229592760,241735124915049125,444231822081808774,906746128128442182,498715648264096384,837039223967388870,434868923231309175,254172497562443073,372345608313274506,291063919005635868,1108341910264325490,41860649853105393,697824536719852950,171250216514281170,140150020957756818,706198562292974640,769970866912656872,268023618543985317,746067585241223847,82277679215226410,329179981962727400,142428141680186076,1310185468510956618,135105976075801636,75164924325074253,2037192525310550040,647083837888352736,328232643127883856,1179880266087248216,1122968220746340465,239061940031847420,7867325170660089,183609474642892690,787062985854515100,1530496510920202182,545563014523159935,1194605470348573740,38418070170074066,1729175868794560770,617689103492335368,1716142688126001520,398268897249019985,51372742107032829,228371159749928440,347962654022946768,684852298724605620,1162525344266327112,1889581144148864224,751480067245264848,128985574256777077,467389297972602940,1120655514434024220,1024265897433829248,1788045513017743904,483571890859720896,909874027886710920,389152432048692270,662936612324686203,460799755165141743,1066465537263462525,64363896435732360,643773465217690160,147992755641107594,634387161073047660,2087133784265961768,1575185192018979765,653967838764554070,1736119207214720496,758070255698268984,609239498384239956,986735492851213375,233996358976537422,980348922791219682,195889763909260736,43396993473706539,868120804725207300,716641279395700890,264492388759119996,1560667711213388448,210247684299641587,1455264605615756610,201257168756426442,208861574064180381,1480352579480752776,246233812308922290,1585682864763860835,958564791256147838,233337885828880770,736603834355313222,1465800093915923178,93242085100748190,44495411795653723,714460334692124948,1500805526056705056,63605242553099346,212061521684393700,521137620627201738,205853729778868803,574855024721627847,97694317139510622,443396883030159210,328020542679032216,57796754623704513,1348870726098250670,115370474336268882,213345166941832800,1117003500698831151,1818170976150893735,1344464698963450911,49450336098087501,681532029460987365,794237735947685004,2284619045632756992,1045111595220571304,236059522284735582,1536077641083928180,211053020199193536,1039701531113801508,755782323468918652,86137453215600186,430776358973590050,192055738464911930,1093377580343892067,443092628298576690,492004107872979758,1331909673715207280,55339804508747178,16771063771757394,1509707550369639060,267640182138223512,792987943286751060,1237748633718606960,116354758254457806,133461629864846772,352410248833461786,448588180413815040,1361285526111326055,168225700710588835,274881083838647088,597089041704366744,147572656891559375,390887207798133645,226415999824779218,773941058298946972,228833692124228256,16732148099344005,334711881056575860,399174774154992234,281667937650466986,86875987707836106,164823050608967055,242872244452383584,305059543638264963,138424043645199054,1372734718358463504,1231690311056708125,980307669874617336,202215015348443220,471102420330902894,1753472545331646546,229177868728633540,162744415045579680,497190881800847673,59061182663573220,354439854753805080,299380718755200060,559612942972474197,242220356535912412,515075658681029472,279197715453172794,42492976824227975,308409997628744946,752115878902341620,510274692726665704,678539407412841102,140983889446448910,1790577172858174407,551532059671678974,634838611069032366,978049860329467916,26737877024514915,343843085628286830,110703245977618497,170764031206014864,1707989742592940960,468595147649324470,1532652040573106526,438548401477705812,1312858015793419158,735073716190117734,19705099859161725,39418254630695670,1100562096834480303,1079685278891056624,2353716441720832608,166468418711395695,286378761928080672,414065729903687073,751420337339477148,1713106918948304516,268410740594065840,697042418911781751,287350102848508452,444567420100271370,1566448183320760608,396420646354850680,1337221492192625058,139977998080297038,969103196228965035,56275317004854122,25364772976634865,591965261946000110,53132581501771042,2125736040576056880,994491197979781885,459528137827429410,1097054017385062980,30433437677816704,304396297198186240,1927678714048631214,910219684995597940,611001047872733658,312581649361775346,1484239820218586862,31250887050957951,833526345785967600,220512868292093359,56720719127281224,141830600829000660,96829668320149930,1050775814046649275,731793417052291644,1107829298781067632,1609650448425205616,92272764108416811,299416911616975245,699930597559107116,413180328287167008,419100304956246862,1042678649010100266,180523609066103760,393449401461459795,2137855716892624896,886781005570112280,872879151132699046,737586186014917600,201121596183877170,1264888606119961417,783945060976899560,962309829535159725,2190243498531138240,1827098663196464049,929764900447523091,454033678506133316,67207174535034924,121241170625710110,663006567945287952,11423168077318672,199945843929584760,39954428033451932,299718753579895650,687248005933380156,63228125118723452,161102425208282588,253705618807486866,266028851803015725,512138182511823926,682579696792191057,412320065248969968,512696369181565084,1413791282745388560,984130468754376222,264407764076500301,624944256481885452,1619698999797884115,1263987331050247020,107235019885650975,1501592746962868350,208211352552597799,144789424508850351,63804626302175125,337243043109932064,61570686834965655,862163110454966670,617562565809262160,380261094963538860,317898010422013944,1831295308220852535,657481603739250213,107314224737489769,1446339784601844990,573403271034220002,492912880692078124,1709756341111869652,886979489329725696,2191245537259834280,479382638369462234,1573208843452706214,243242868320798886,1020403272735101864,446367219558852555,654047345757195369,467746948038874658,797528927774003922,160180737301252752,1602128604217999200,994879190176388982,266553996103365465,320266647633996546,1045928740695578175,284860469818949970,220928653506545075,259101375149872899,823518386741029563,315541960863010756,1850846139831509280,580621860063021728,815236417420282182,207034608519439833,1056578696516060379,346683805725927420,19594987496800566,587967184948378020,21426602652042276,267886077576700050,1282462304430730025,454082467484721663,450276860039300634,92398131473289756,924165883400816040,426762489030688575,24216530104089065,968854602693583400,1103710636218335256,481645736366722914,412159979353704150,708423986272705437,172065306043279561,241916370901878192,369317058659518149,110404179915063570,1580524162550199594,781939008507176541,1656611572192821666,237537341484212697,395446703047714170,588537599471565696,1949422124720271894,1556397754898814738,475762692382172349,945837714576791680,473406169022791776,150426756240415270,39924845339394594,199663939669355730,266376436703293365,14914047014483393,1342531128896647830,686765303826509480,44304815637792597,295424139724716300,633811544751005685,565867458982188656,29599449092042700,518093239580985250,1062219616897845060,725861848261350762,243206029902292754,356453399234281112,366191658785940312,349783180718216075,950533649993900952,690364798174487844,225595062659968080,507463468925882799,561950152999630650,1350874888387976385,808245258526147815,1230399544348330290,519670595233454637,1598509407783258540,488239538772372948,1492490697858764484,2042535383887056444,67654287251548032,761261384287101600,2243363955697153808,2331793929839211027,361755839802916904,846599626312056115,1392163472886097875,1423147543096737822,536618815696641330,671655652993579473,1539513262489606206,49983787633895535,333291091371830340,2247517944881686665,689972556872720958,193021842491856504,305492452601593240,98304932860782783,132167343520576881,186942279269543938,500903184071480394,250706769527613825,1417406347594881084,273102000765589308,409049066736917607,146727553503677904,326125509356347200,1259813940320291490,551698452736381995,752070868969247703,1627392212630327598,149831010243659820,1075295054778162415,1115023693543503723,1532377364569802775,839268363607009095,1179052992431533725,483124388624910324,942965452876591256,315726516407422704,658869117509527578,1816202695905361215,69436610175172743,694502613784556970,308489048970512004,115257065683965906,41143180226772820,470300157179823680,51736552649640882,862445237013779700,12321107163049998,369705791185803900,541244369412165912,317047209151641157,501913682845324641,1711843214555956615,797008946402001450,1154615396896880835,440216425040677070,199589058890623139,1960070222808327336,902946976808078180,1273538230156543905,2320805523490776054,22011790870538104,27520128896703770,1926786357822511500,1576351367998930143,65761438300979104,169286058460481508,683459236278259715,1543759386201315290,596321347362601203,267480150207769572,93849978741120393,624187617861232152,1445511425383038020,225712776722199804,832011922134488241,1519325038664992424,882622124296111940,253496788137010980,405893365226935719,1223400568253228028,82973102484256407,1659786110362315860,896576606002443725,545145521010828864,850661007540879792,601550882484563673,1395952242791047740,1416718348106992665,28180281858405573,469762965020994450,682652564552438739,730530193119898464,884610733225353570,118728240129636579,243625552174412086,179611905962190681,22243323642256396,444953125335885200,206383903432730691,315229602293625873,1295209733599238216,1058845245283277370,133299288169743120,312410816308530961,157648880341193037,1195371281638839195,519128399741334126,1717358020124864850,1572873576476521542,20785683788044123,207897241304413830,221799961999762004,1061676472064172420,412034813598313656,225842657116443667,1866924088252628152,131613668672054898,564168100590500700,1293941868234919182,1398323641195421040,761789226559468412,333353832618108736,1965060901873744425,1241421508174520728,924870124426531725,1106527914961570227,131184039238143855,151968554853481270,486789378422962545,115260224389577084,282225005783766071,1262934658872356382,219331097907142005,1053552705605041292,319447718302657950,726103874168464551,482571794014180370,748392255883891320,191163863321491647,279618251337600420,1611493148822674482,620754697431891423,108110859988880160,1251143717437557054,389842539179722712,1374475495341618509,1521212208058579596,270973186378992570,951388706581702310,622129982942418888,99000320870574705,580252917363161295,2004921172931508405,723845533781865681,566185422838761362,1580458207924516998,1082974206921209605,994672857667775880,611842200115709616,1087724305680809004,247588524678723768,140810624413136664,360564847976826630,118608733070286452,1355789628638339520,936871422162272740,28957660440161724,193088258755023600,1333329130204226281,603026915673044608,228022066528917525,818124983493992165,347497479634435650,1098896301911772060,682120437435059178,1035558570510451964,494173320109728828,514334170979435760,343434869858208036,1596784507380698886,49390939093312106,2223019477532389230,250970498361623880,164725534123325864,2135770458665707206,27171177452710476,1087055844229912160,464934965532046770,752446586709716304,481413315668497048,176736587010758688,3936464508682332,39372198592762200,196898761834110600,206550734110451982,302750809889784102,177874680357271220,603201904463505420,305237111426897560,787817892657119913,287239849707773544,450353173377950674,577272792600526455,952519943881682208,812050320618678785,1385134314377644405,843431222287379229,242926741072554030,2429732388798689580,145164885869690379,757085085617914588,498043616760503152,594711605914549380,355851041758345130,731871351732217284,240444015409127808,846192331137559864,1553810648824299285,2259083718474812595,1042148786714761782,89092547637225965,509197520326792200,366851925809899680,92978311728600927,101451555353108919,869750764588166820,1872043594473212384,13891034960983995,1111494842764904560,413060271857337936,290701574353875942,1956574083589054296,550360229424532730,1555005426877021488,1510014451903385418,1382790676571631285,795066394126712832,842724014122507320,265802836342813208,71953348228290354,570947940817998993,124803957832160568,358748741056263615,29379157450945086,293847494441797740,89641561287860391,12760666932424178,319077366353960750,89159473878226452,446932515537292791,26263975458704775,210151752781825800,228405221193214255,204572828927465381,788985726246612576,1010018490982795744,1324139809132976616,282120382642369620,435071644222893231,1042547386693606952,226656764842693116,735687239004371564,214937905601761520,1198757342054676915,47866579327378698,1276684284293906080,213668723561754930,524347596280835445,516536205280674810,1591174930902457008,1004006684586853210,658531746574172034,324287017205553855,1118284937858535894,668347541412040368,730012645609453470,1332913640827896360,556883631634978480,196120275522516354,84989054821264931,2021917892038418912,276353563941432288,1121722422403929720,307754407514208232,687070717147461096,223309315748826125,421651302564213603,838255785546969480,20512215047445669,182365264950763120,227999663373687900,556450857492462423,473449698848295840,2047731960822867291,1616005441642217101,1912392045094705731,56716471980550782,1985451281824120950,978827360666239119,798673221030135432,396679732547468204,554140620739770294,336595932355706310,904928376278209615,10120542205515272,202449010404908640,1008519308474845671,1761922622125530520,303431631412143753,996677970293933289,1652572058934045288,790951516808214744,1166386811269484200,2066022781517421999,191962146092737449,116171061729831832,1818975339858538183,1737336421690658910,377719705106037414,279279294250132040,1288726934823340635,680558470508144776,196558720357946925,956569525259050368,799729018968973095,286352215790070724,763695302261432685,63314863168680675,1266535196422091100,9059157493685733,103552676114915120,1165186399697064900,354016476574604880,563797669521514532,312358565268300999,816528495919719186,307679214766613524,58561602921098450,2342903587669222800,1901090632422832047,2403319131894762176,1142984717163023988,554086689212265580,176593874019817502,1529300044814054490,261279275551653252,388315362930827488,381771460766047590,188383044544125696,103229961121209573,917771491739150160,1197037747801175045,2203279472005171480,29530032419085747,590711181975710860,912014909085077372,798816853206353655,82863139061184875,2003807271221315064,104978210301334329,561706529193423164,191566446263128062,96238830214610730,210025009264795956,1995749828038594773,561856045354047414,26029550664505349,1822408883161644050,174828009016309764,1610951227359419715,1579794699326281461,709852349546555175,718699416055781205,1074660752913041204,1276659851282492730,729126961638808536,1212660234593284596,589771830555897390,1057842567651563535,2033585900885994924,834014073808363815,1025260156991708645,1977638205647927760,73206958447386408,246232582515168348,32464916494499020,64941926161391160,320880986680764080,385616570856742652,447618285262197729,1155365851770844002,577897008909833448,338412875377908555,892407142799317115,2076681202511896440,1239859799912561808,47968607439609110,1679213437088524750,785842857508463073,1414360832439036368,241015821026039295,816118277197063563,2210955299297607120,40800197785932981,952181445246826410,412696399397312424,1374629907490576308,1521247941058652100,1159593810783082908,875096244633733938,2112142681997322282,204719882886010121,632323217991421140,1896930663630098586,781267960497357948,308548497747092832,101003070674517795,224492877500258500,812992368260000396,581004321072411276,292528945384569006,166024777444241937,987265817288449020,43654022047167702,291080708276772520,684550138270587444,267503346744680582,439280662324943480,1418210784301631592,237593172896406895,905103556181727956,788790060988481097,1847168643467020635,1252964363867747568,733072010309884746,1751644767092045334,1067293741836443779,1179080017680455880,1437957363874993576,259439017353395065,1064568511413247248,199659743036977184,374838144447875075,402072177410499168,217358641919412056,814833726557563355,179277679458496710,1121233410970403840,209890973849784689,299899568516803530,2024181952238689497,182109342152041782,1469502768712419300,1306978568341201576,457102728477305075,2674968220915719336,195024078723772767,98451847266425280,116910158945337198,1930973381826888259,288145338134777706,610283518347917862,813592176255206685,572184791666416792,238933675383565869,1604693460770633196,711912423737049075,1877907567731690115,1386270238419382848,1016800259559443093,860460925506423912,1178483581423818072,1447632215616779955,182303169260335605,2683173393829451763,972062667904202265,343393364117567952,2150843074104148290,884244917832923244,372748303134218331,521204000220817585,112428517190878649,970749601204790325,323322857349142112,188000015766560374,130459910803190094,372810994271468360,12034321300347180,40121762467560360,1404519230068515400,1147262947293034736,959182228176008160,491550370230701970,2119743030166505217,1080730532240447094,1236386001292576125,2671630292550687579,681239986558167180,889723112348870010,1671710652774942346,210623325832781889,1197219598133297140,1728863880564538680,587233712085358536,268810745540487246,493024405877389190,207148841837218956,1445004352272251435,1755916053061342212,488790309443187492,1531058542902546032,305058016805804626,372162851938675665,1830785887005968334,1955510078362709944,1826157711065752953,790085343260203298,1155462206915818290,478216110003823692,1753814171056708536,13437143717700398,268791929547862440,189269967134934840,321623541094591646,412907479163181045,585225089176579948,1064237473878892210,505595808206768460,212508691577631392,265684295403869560,772692754127113080,294044728402864732,248638834380920390,1217446836098135556,1811851007118329624,659612418024401091,746582662787004372,1142977719439396035,101923125036865212,1189319604907977060,264485536565164670,343822954378681510,303525335057774550,293571087221293643,680527219086995358,1353141598902070047,254219424506675440,194713065797065155,449630376983229456,116649389976545872,1166705920419375520,809846171350749648,1122896713039773840,147233486871027952,1294389821684496888,1904418224396147894,1857933142081732476,1605705006878948070,636632271892392435,941898116697123648,919510874204698134,1645964465771944092,1131887751943618700,61066569727257261,591976005080406954,1141261812718090947,26064153390133566,434481316653243500,717259478148643698,371561524188890838,1977424052722644225,1519491554440714570,1416285918351367665,527272194549168992,341888593392264888,2036007612817142136,173447611076213232,867395061936123600,550705531436551116,1144329231296884780,79157636121273549,1281608477983270848,69655443367758375,1393360857881740500,555868034518530945,163973791558575041,239239485852937420,846314401725255015,2045991706118254678,154853451972036386,425580800470174332,460609794749314236,1890646744429405340,169852696174889184,116323549198039545,1923911918373691719,1191839247387550440,1339154992033936280,724741215698482200,272514402943178064,381752108872721072,15384329098457516,384677604544321500,406383185012338458,432802052856970040,925994384538653736,665612934010713997,633113487025165920,1241668541885891868,1739467146255779661,2107872736154328392,95524755918363054,11306034164568660,141350879170384950,1131010657390508400,1432074557782677280,28959439565641242,48274420021683450,1154698259066831031,120417714756176410,1705249896833411982,2087597045024617658,239782007362651690,244645062928759059,219368714030305959,284433860048522112,2683757732742533736,584938249095595975,429495941573705998,1657913157578489784,555792109054171836,691549244682209412,1574109338608822920,333574990142551368,711805641896419791,1270653079562727651,955317736745497174,445697030262163600,507033940486994052,1812565389240566094,149287240601460953,432758410911973044,1989561507843914640,756794103015574083,1150261702553198076,2793351183012526,125723333571039630,1257458646935740500,833438591828704764,1159475594939535255,407140075815739845,1399203597737250528,150217527532787375,1783480298355198576,930426205981203846,888197145379470252,1202382427409492832,376609531724761635,2655888624108157401,278107308923839812,164508590937270192,456249082997348106,155615392110218340,549263734667528104,182750752555398976,136393895902911297,653559617127643056,351474065785200820,1078011573646442925,257116325159730038,24067306284215780,192572836433787360,642209288953175420,2778640613218780,20843524853980650,208472452386541500,263211226376577030,1231584601659984630,500598415077533152,862855580065438263,610608684412431252,160253824985477397,633336905103745340,1637299097646265962,780449715805330230,2194673231266658624,848424015793579320,88022696782298675,473236082714218712,678122579369669994,1150890602188802027,307329799046956245,116556717451941630,1360070462032133810,49710364009568410,596630537616598920,165217709593833294,1927882910970402050,1399661330271270432,274638736701740190,665229319758554384,372855346504189452,502358536965429250,1265185750591966755,1898523403529324313,778771107246969036,32607195142543160,326129886290706000,37893718971858276,442171914561534780,1234566308410360068,712577831260799668,330926368671669450,153363848954144460,540930288925738683,2499377579601099093,1517329913501406672,837799394128970775,1021644948938768570,406738524039918168,412835398408396449,945078771010949561,55017949648529970,1584702935215117081,2885155076086832808,870733736504592759,2483640794929310352,564048567061848585,778815549633311955,2628671461681486,26291369825029660,1577761511723420400,34806974622862440,141997785465902478,1183524317170436850,286224229800530007,609949753889516192,384105712954686435,2144255338005660103,1123813946439803144,738832149162407706,647099957844110872,795269876135361800,1453315868334362460,2450963274436312448,827139112733014998,233884906522099506,258431225095408820,2531234350882999592,708433196087630169,251309155212067767,747387786088359664,1928133125500239000,1181644355858698809,10484010067961558,209717202823341960,499882516239018983,375336526446238560,2398158860597294664,193793091177842439,2560596493749803976,1333228656781955835,520893798634205910,2021473055767060344,487125650080995558,911587136979245934,214134611915849262,1465687435527206640,400101678207318190,249949960622366592,360261573709622868,1980120346467451168,188642503297037085,1011753441067566300,1694559975139398843,532298472767765596,209117017085478498,464786232330957400,174904012185522255,68282169811724871,2048825303876476530,2194707387886342966,1712834542302714405,2401104961156751865,196766954442968264,329099708769362154,32920532498087180,82315789133803250,504147985988917518,127103578585307775,480056701162363535,609367168027050912,96660065841743295,2487534010411941088,949300350348360078,810982056183903054,158104674722323768,537492300058210440,31158265107249512,1246549177875638720,324129891913015566,1844608234324233492,475981614902122980,1228158279984667194,380023321818043560,514849204265154370,219455615307802395,330803940915065115,466159199021444796,716384867280067764,440434242867147585,1067985552120489954,839714300087270880,250518893237772476,530888084161555262,128750907161757996,858489552296711760,1024940387968005780,185294533810123935,288345280299117297,1489240474536536076,703266886402449084,884436975827575000,233629343256415678,1613279313862177779,1296555593869421055,121611324360773762,226709569778809965,2303310021184881184,1678195124208491392,700207898656318392,1291245941374205136,857457100442169650,320623523362021725,2799752064593366943,830287485321503838,374947746077345652,2062015437036811935,1813216442440092924,284894240437736658,1154282617878150696,1083505074075083538,423789855866247030,269107607048530376,22365398953625108,671078881860987240,2263651475970094182,992166420973096425,329266495133022525,1877867442513969978,747723220152425815,682741225668614328,455265015653866275,1396538869955231544,799519752758049795,2029839983494825536,266507870537429098,50924852371506960,891339921828759480,2505725688277908729,652141992214802730,2781129924840394971,933061049638269255,164289100756885116,157577937302199594,371702668300682352,2185762747769308791,830396002590505080,165869969982720636,742079776139382663,159973595196886464,1081510243140080368,178044266879012160,788644369744442071,1161754937375922369,586286446028134542,811080714155970042,126087250589132820,787956578120626497,209917700968679204,917733243310135218,62765719279771797,1883297996317144350,282919045198341714,830724715358243622,415302566829898704,347507025091894971,422826141995631240,195233950468064033,856312688371571265,373647764269417212,200744814901597355,12136478624769760,485543172387267840,2459675448281934873,441628493801093522,891464312333109969,902345595448592670,7887660459937971,184077240437357610,1052051835685737200,2041180171872148797,1943083748015307120,357914549133442164,2036811347160892416,514564484180899404,2090321131917067119,1896326673392827080,1351634903616155283,1472968502428201542,2684433609711079632,2749220754330274776,337825885903125560,700167395785375384,205576071647952144,46416056727912082,387698879532544629,574712166435527730,1158421384044411324,1530779304795954570,1230399770017055274,274678318935553456,513996832211250645,1650556189988456751,60318559060925514,301644767386635870,3010359217716450054,1298511926756789580,1353160931954294142,1205508088588038660,303562155075172295,2170832266612717864,185824771169495430,1858567582469570980,1212861923891129756,7721516111222193,308913788464363880,799790088697476080,982051009309576098,988116937451132892,231900101330574758,751702243304713245,1103333047933228490,1381114086051635712,847477065524517486,1055462159395847968,1237308989128913756,250407104214199380,2603404848197600397,593523844901828178,2351068165925282760,729259349724770922,644895771409716165,84758112189938592,433290145131966785,961013635246753620,1650264071035799625,1334605023497772320,2101078377209398559,2416785917888550768,2247562253858114172,864300818696457885,283896010248791325,543272649009949224,21834529114653264,181985592941389200,130668559886933565,1306909479578592750,248157302481252381,461933475080259476,984460229443653767,484697263808684898,601192463097555165,2815130063120529555,332760957420657852,620811395413651616,396757169234814744,1457206683188543625,412308659474889188,179881227073589172,299853320481170220,577796538262927968,1430924498173414720,283619537083420065,267675578145302604,608424154172545118,990527442711721362,250277969069398695,386968387234851273,1906934616590876607,93049055609517594,620432973337121640,112100166004949955,640681740694323960,731673733421500464,249086607583038036,566370514375100586,344315656795237170,128654340032753079,1336643327936147155,2357256767182784952,910619544180430536,2133227975032142370,1321591612410813752,487262551883034846,222454749785755476,1296086947889848098,237724367747636760,671300062837405396,950915077783242054,106215192422096433,40811659535975999,338105275086684525,3021323950542422547,2623221115034944527,1703468242055379474,189079659142340055,186843414545409775,492561419953208445,1669600791188030628,439275782932172448,416202269945899946,68990629106031360,22852833934518858,228567191501407620,357219572454473733,111202146510604766,1502691289823694635,882974572277270292,596294792971549508,498215405988583512,499151717098210005,1890136184470115760,448280532046640502,572208172739178156,2057968966178713749,1433576549477673818,676475250565331850,608580584057267654,2450946435258377808,1306750254361646064,1310419398431091599,804088822929632375,238996216870943982,2686703202012864496,1659789952618157958,238356224380553706,1324425674945439500,250723668337881641,652071243372596334,410618512487976807,1463215594488560358,38903431553023335,230780465527000515,711821472590591322,157389248148009951,403371301431514564,602631860631770450,2142348121381336272,1376702449131876245,63591860332895634,565356601616692320,79526829711616040,1590805580674816480,2167427307586510680,912764510091406347,880408673782606542,925668595514333700,397720216538866365,2354702270224171528,577268676974693358,1023029127074497275,1956991026231726150,826249889803190835,828369078206235174,55439905012110332,237639704770507320,207178970441676020,5760952100286878,115238485589537640,1440724123030560500,250736523631032768,220007433665767815,529293305658046512,2602988909062360209,537085617277246584,1850137244447591514,324725577203572690,1144032275968926936,150414298481934834,1407343755170915433,1650333304795025538,323884166777944425,263943512293901094,567920452039498242,1023696448194704256,1274149645985000169,305605895740791930,3056573364522350580,2289667980718895704,777303297866185008,1962277506044164722,224345292272154840,253095863658843447,1968854467096714890,90783798862883032,215941708886687226,333137231306193720,70350725579760313,33682547134935072,336882076095597120,505097294118115374,895339099601328960,533778067181083860,56531421813951582,565409157800092020,382691093461940228,1400902047770764035,2144089497066359160,1265477813703449895,724547781861168433,341447384568988476,584894709496290090,595418464137966296,804065944252509504,1554953886389552770,1331690805868737136,204566398247179695,928449514741022955,632893449589611772,38206907685090753,311883226442987337,1039784953034865150,1352671012985820228,1266785979688116615,900090608667261291,1523635290328789980,265150545071506640,1300441324832494866,480560839442614872,525308960557161670,39651135756470994,198288854516412450,625790409056626566,3092252827736561814,2715827485179451797,693800747604583302,1112942373075230150,677199819656762790,1545214084547514455,2115796721127360642,467835485956715928,1484118713231657580,32618876131432731,1304973032676649560,369244487898865629,736854795575032956,292425593563118025,553620837076864592,324793259944801529,847650493581094344,60294825737267245,603048886007148250,316536631706245818,1668058051923437022,106406276822750165,78424648953312945,1411879120401448350,1534284473101101288,1225085803756782672,1326060329666507280,407786443199554442,2319446915645445000,401517882188789816,2127945848976389218,720251468486926308,901887994907187174,1849641789600507060,2739683654692287345,242388477634989486,322279897366736622,209393754826544811,3128795784705066795,2901878345704564233,488134179907392711,1387296794976100988,2501253206894283736,1284569167669593960,218978743057926268,196678186182997967,637555907090946465,98406599059440140,1771613235419794200,426641827341993930,133275325105859160,2132759538407890560,1245092549231558286,2232065807660327625,133657458978098835,2406233822598334170,1494683245090888363,157540612739094168,1313056389543369000,329624239787421802,1207273264120760790,1825121223212655852,1820474604897135712,822549819288008650,1424990875260020832,263217361685043942,1344105881836141112,1631018005578039492,1773798418513022895,480163934909436967,1334973458250103308,333183894467972866,1795172091825828954,487492785251642175,1350211623921800880,232595085044863669,630962968777665516,2719362160345437960,1123458235452930975,520888406523154992,487456349395173882,1279671519834322128,22531624519506957,450707056348311900,945625824260430306,874598680279307313,269354432507823978,1148239020007936716,588789877411741500,58503815020592542,1158239379490933285,782356539608059488,1505562722995792760,797670750065897925,78555758232537009,312516163583067536,294977062582547416,238178960630730288,2382182945863624800,438350717327095392,360998182192505184,583154328630220062,1318538690049307980,157785431804472585,160893913643226662,1725749952897600072,874234341769376790,39375284248567362,353508715137550095,229528387310247738,167726503324980522,2236722071819111760,2503624630761141288,582791001491837580,602530541020453792,303734185580308098,473823880137823242,717353569014995844,608602627574883270,1273687732554510928,1028452758312803328,879519441792710124,446760840708051120,731345141716572440,307740642113282850,787261216279863235,152414581015313058,101795628872542152,613412532459557820,885716705816911856,557909861648009514,85376621634035194,852126237751554396,2114640026576544690,1281764476714875708,1067973782908311798,354906027464064603,3091726216601282043,2062536510449269755,923815177191825048,457204311811426512,664110638101827279,174761052993470832,499399271105963200,5344435522326726,17817709107231180,89103166199709900,1597828379690261934,2088835215474831120,269523096290547717,1376891161381157863,910177830853894125,280696056362273320,2105565604572256500,1768658633143544502,269804341363389258,554399656332126102,490164690309205800,766024417100588265,409356746065749848,1387780514956961613,335006855158988934,218876053637404695,560463068417841435,170320384759634352,407975268960423582,2577060464388641919,3221329379151323619,357385759400040645,2460221782905636729,1458340728239899815,308088976282969116,931684316467743018,478748762212869880,487445465634603676,1147446883007911608,3727631065469584,23301502298811100,279663726820842000,322461857545129089,357541081362069284,1733420644741424865,475138572977430694,1780029273298735840,500297254952389566,1778901477100414185,1632176487741207315,97229225127452031,2917352856599950050,42504117487116285,255066320197478790,920939226256567238,712411907977757067,217998992630373180,22898935346139398,916106784623073680,264980384262129684,1229334474512288095,600431638069397560,494825800313122176,629949047621684404,1081516148192611984,1903892883680942133,598723197080184405,1366852224948021875,1366796680906810815,544582076995421486,229709286790145704,1069855864884416775,1351156077063797980,1070593110393526424,1540467295962651666,173807087603564204,147799053743921310,158583236773004784,528696771318474720,2234046511502768676,609250345502572128,635554917800457760,579926842739533808,28270658408953140,169651519656303240,1021899612330289565,713257899191003475,1469342021555249436,2047047526475502635,298925558809475634,2325354159011744980,546806467711977560,1287964474167022332,2288584937090574682,28458997195746086,1280862726672696030,675646800617852030,850420374206250589,1162284182325427779,1027597691881351955,1225202073582659775,555726443482307160,1705038970930984087,2362696510686649668,535895589332934234,842607422033255480,235687822462602620,1093245131018384028,19065790118844410,572066369715810300,1825827290331517008,424765394732860920,1009441486871099538,796789837002421704,2162468728883079392,1301378964706884328,349674134715297540,592537330832345744,173778234574236408,1729125977540091576,2072367205901398170,738089901350079180,228583490885764680,1714653433205751900,313664682861009639,1371738324673211364,419397228047028920,2570357763105136208,1821149656763670936,751968870262802976,647612765705018276,981703975516882020,541578897336813096,2445856858115931596,217786887704798943,1072348736573400555,594312031591703390,520790377253775606,643256386361037021,1612935506626829025,1864836647709874884,1540053337586037920,512741378471348775,1778393844950385384,329003560309734352,421354638751825172,1295817513552708240,2569498074882220032,879122993541120888,88499110851619008,110641717385668240,67860332778516990,678712667832553140,71463289318869062,1429496018474244040,286341563979524487,2143062324390333395,692127959478768170,2303663221712325768,642163952586925318,1431697163274569570,2736636760920565215,115258156081304674,110726933380207802,375727407886900614,148034453781724185,1147948266473991945,1065560501362528314,1871027577500543028,379292338628980552,591306259520011095,1454202613868287525,344556331816633281,1188872505350915544,82139377415765752,1848432905120417580,663936948086680575,27454078610519376,1098339503380440960,272915770711851801,323965117790231282,915854849887589220,58991066866062432,1784214268499258936,255609207589198608,1136223202988680320,270927060881961485,1252856453077002519,2033268341028120567,1001434088235771867,289182553039947213,2570923714295043600,822302029281476412,336946519065731318,214496760894053838,306884471313714235,254764263274514580,1364926267851349752,2114843904957278502,142676680293209542,2907498660822948591,2007321890368967130,874131395576364003,2022843522214081674,406031355241420601,423726048694850526,1663809565904059950,973561652531556855,315533284651337325,629850323730355728,1006004911470457320,1015142452474777050,1739407194897983856,661751939539467730,2153088021019870356,538554673624564374,553714148924010925,659440466153849,52763666819432880,527720966325080800,1162391042240229012,321917250626733585,265472596175068254,558398646963928232,1972290378255541002,1992276592585762884,729779830340314680,323337011334597747,553682754535607092,1448228101767710232,2984217607786427838,357865992612736740,500864053034619234,1425832980280727760,1835604323169135883,97216635525609453,324107114131685850,1962071397291678148,1906762644618725601,2408088477225430125,418554145877765905,771573507560840480,223707541215519486,71693670856397910,430230534718072860,2257007092310417013,2074151462723325520,1842963876012445990,698438702443119546,619692088905708092,460336239662618634,1146960824742973020,270531634776523541,648041292827935974,3041200615903249716,309083558984237176,45399303889055865,756775377124581150,225503524925581184,281924215315965280,1095288273621835455,1998208492160867250,1788902152891167570,1864864281103962264,302759675991317736,1594385162873514876,382325950898266095,1220340613382043811,1022620588996286792,1298619596849524008,2431697257717974036,388539768854340740,681145126576504488,259868166729528994,371299142149904020,2533560110409626949,1338853665794788475,352356469621175905,2325698600901367419,2392771038365882342,386906810369130462,816562869855583365,900632493145844408,36683291030700755,366891042425608050,2526318965888237891,2268956130251717205,282778729464413868,1296148022280243594,1472143337499029875,331714973088564831,1654365207696170950,321979479784850044,1860454841446960128,169542514014730164,604040257354747116,778804458695076330,2125176999341067708,357291578615412446,874343696987954214,2679876756680308479,1081565993075281455,959141584795102068,769376017473802460,127560566549567364,51091190911605213,1230800530914272745,979534889603282956,406184530730525664,955027423039858830,282208265944258206,383554633828166820,406049442265791225,229758763165140141,66252380846369856,496971296187110880,315037023533556840,227649423825787716,54345327470663364,271769511030085620,311822079873301812,353155128247980720,1708010093532625304,259136209204925805,1019879880911683236,196982357904768033,1094518951692864750,623972769365905630,232095249573372932,237062762997499677,1354857807962442760,24935276844025180,561132109392387930,1238719568405462185,1779741582810239296,2071579982671178370,414414210103909170,2517823221746017624,1248582533655955914,2071708270561778408,1330200698052546352,946683368532061920,290340327921874288,1935904850150878686,1505914929208435242,1075685086611085620,213629393568236140,629976825082479012,68299784383144938,2144264626386133699,146968038948682242,678421900606793730,5510391939098,248006598030090,2204849423256800,2756494705759000,220554211765200000,827208180896700000,699541452255460854,67926934143773022,2038127929296830940,754946347988874680,377358566850730587,2254074063548514918,2150084938304187618,1291302244960534569,3004667288879641830,2530071248029349792,699135182747902080,264590094682385871,676932638258555,2708155050398700,81257386862664600,541800817620916000,879703157117881524,2155943565133279635,426806616489993520,1241209477103605704,264285733056048046,755220357218302760,1845632935253323185,851231277697094985,373444615076802982,3170969337038466042,342449618079225879,34527806679097263,197332626954000600,915001780722537464,59873990028062049,199611186269317830,2290106046267183064,1873665672704077815,1113156390440338650,337993312881672978,2758977768604184608,269516168557922136,1684739323352922250,332992374932888044,2343653507501895168,1087231567523364196,478972628752672168,1970508738298073895,2031260194160609615,2181380622374417751,719417297000955960,1195022453437921836,1634493645356047175,1594169707419445338,1505378608261910180,340986816083313863,2937736266582738192,745884214359711285,1221414225116705808,798769303420833630,1516671503796981528,373356461034837322,307360820439339645,137903009799911370,2482641089427805740,831560269946955381,162116991495717816,97219366119521620,630374451790215618,782911557396419900,102878591913962270,1198663260012389907,940062741632588575,1419160659910354728,461025868996954692,24500305629276543,571762775318202930,321852024656688060,464398762041457839,21183474134973118,635603087913206940,1676768389247160120,373158064515996550,1690384691516017410,2273689680589633292,383351314921523072,12318247088950410,431205662142879750,2104253393855762367,265673065120065072,302202649369094785,1776184600458267864,1847387722523845950,112188839341243164,1496083500832390880,679079212237301016,2336162761938845728,1651394321103713040,217519973996655753,342227624610467567,3228479761930353954,1120985439684533016,504119679993137930,1331124512300868048,605283344185638510,343729391636203699,2596206267902079798,775794885693260535,1427326387479678840,681096523774044196,1348671274583926224,1211529868387108416,363474300914432265,1631276548070216013,1664626192275618348,437442378990479695,214192239934268832,2121587884371424770,2741937093109283288,2838626136928570608,273097550430092709,141947253961158716,1333677881627370075,1807491864125723140,466807586878037589,54830250479895894,1096774655147984520,289775359900991020,1849242232036380069,656775164415219125,1115584277707942147,109042493183116284,1283064093936316440,385110517073853372,1541503972744166862,1295084590179030760,2516930951726255202,904890073768189065,940188974086569344,233123840402019492,28889801776253763,64209473217657660,2889872426956324500,126918652753248144,1012490816283964449,1768943749108188320,133423433507526234,1407068608263543775,227020026722106582,363424363475754444,321878961895700386,523720144355983536,2417823898826233095,2219422809971209488,894401289074960212,2134542658709647305,345421328760470491,363531757736075190,630904961981120148,282798999640630062,1571347608653360900,400478992819552512,911810882794096040,2198526313714985736,1283851579549427721,286843437866595778,320623847607366982,55376866434653370,500391137459267589,239522943598133476,108813100314999033,1088298426084163170,855379656386357970,791363756005116417,1568995808043442360,309465844213331648,1934458943065861200,3430578601307905155,2911197437838338823,533853369074671704,514569437989542243,1149186349292634394,542298575623788720,1152617917770372474,1051674953668721829,40480847427226059,269913764731895340,308681850356118025,1833679220199499944,350909923766209805,71638106620327915,429894615697002810,1874186065221937355,1732698045033404740,357077641346281056,659980950615435177,344699144947215893,2360673410262737430,262149682716991524,1153889897251145688,162418900647274689,410060374132191492,588910867492861410,1105025961791323005,1321889079547516125,1543050359001149460,1806603291493670355,546633678603383975,2201867905832824152,120004417240354464,1500284941087610800,1094755050620393724,19097004378125670,668497477727257570,526633428131016642,785114359982343552,13494406110303735,944752968531398250,1258183363531407453,1423741711553947068,64647131441603084,2586280752118076640,444536891716301760,2315880237001512902,1114441331806300536,887593424368089084,2029421316113929539,302383262184979875,2028973765865131197,164117708051580799,627299292349768944,7850434958127138,26172113521524100,1047044425994954400,544110001584567164,1873257068277820010,908311254483835308,2837394775319753025,23290513936214654,1164703421535840300,1865039978654372675,1663631410050465416,980040644113303800,354533666779098303,574820976465337385,1832591986920951120,1122883185908772936,914045308125887460,1631592859901585025,128576406288705466,660694910984468466,634620783010043952,222282776791377840,741055480433195680,528476312998656099,1542952298975481264,719516304290694944,133666508328236790,828024976681215909,91723548678114843,262107177706765980,1196277055314401241,1059828468129714255,1344387380615354916,219203851089296366,1597054961179250965,952002138619449945,150564258915728950,602348633146875880,1042471664876463876,2229452031314183868,1064955245720393862,14702295071983860,36761324559515490,1470676465039940400,272544284308053906,729692882305800396,750789621003552510,1271558724704437842,2088128627888100579,1758953904620209725,368036475328866354,953254284824347415,720950927109113876,1360383574453616988,1784704140801451290,1946344906117705329,384272368770285750,2068657187578902612,588104467717350472,541788052643802657,228639202404186922,1886676518960879850,766618434204472302,847409428664217129,125320782796048738,2088009767183306697,1386297222453527300,307728583601969134,2822499945043978491,1116079100680294377,331709391649640394,707139389698415730,781425628650996946,702263396125037506,3149624441354828274,1013230283556365532,1935879184423730160,1393786410873287640,160593981477426938,192325803163532544,240443632114931520,61737376585984260,1234934328308535120,1269512661817286796,45499122870097716,682590055367487060,2900748330109658040,187061996475416001,2048039828639661123,2066911539227266935,539456855319956733,213445714307645070,1072475961602719695,2745752587863437848,261241060249025446,1403068735101692988,1424138552752497300,387978661919748374,620629810453119486,1305947622514472916,273057541573693542,466494875326894440,372587938049672226,768444330727510065,2422162892821994847,1988112658491264578,423666132903232695,1664931858099082584,95118447433660755,783319963424323120,3372304792408859421,511512490707716085,345755568611593926,3217941366053267826,3554792571925459404,1484566279666945588,528849775331376780,1031117526582569912,572864086946646546,1431494540779016196,1587262917612278556,3476659715514301005,280538134676453997,37214662561954178,558303971949474870,2145041486077751616,291600975116498330,127573781758493811,322071518992619124,49432639451251224,741601135992344040,107296915173516840,1877978416151979820,581214681896649284,458791362287742516,349370200170990016,2723624075145398760,1401792418000120446,682641435449465250,1103392801170365830,1266998206643050230,810111703597469175,3229704521646885864,1970694308063480280,2429769393555037891,827099863927426242,1440453148205193720,36283158903314799,259204325706412650,237512924291596614,2328977190656326536,1134245011191654180,256676801324877507,3300625417217459310,608776956091595007,829290944715549309,2910542416801169440,257835574452733529,368391763785541830,488999031434668398,129064603778851284,717133050688623000,2096558058678340761,327007681108897095,458682373644858762,2037348723620700504,1283099176729384920,223448802572140299,691415155513040685,1201644822489911140,988150453283101755,1117186907904389610,572604551394509985,1029119380561627812,663204363927438288,1227358864550443230,156606983328029100,1174728099606238950,909332592174666069,1325085577620827454,803411352983008700,3450296292363150,40259475559559550,345132810645621000,346952856132237274,127459682067334842,68934200149513965,1437169551349006415,361622281077083934,601987814336003751,398160550485540622,3257439605086414005,401426180262429954,3148139074135308024,2824891431823841697,1608974704218663605,3605105425597086465,2679346100201851059,204160887179872313,56506556522335430,565149879148778700,55847831958566865,310312017392714050,1524209222371086279,487811503617490365,83461752971722692,1112989302896133600,909027582396352695,410468759544032276,287875211797140120,3239078806990083150,1115659416624865620,790183907709625593,638692950627876276,918392728414936101,707726207283222123,2725354147148407000,1590191003861465706,606581658193515072,2134139729878475417,885056294569685364,770789583011062500,932406169302586386,558518798239850678,735199619672049864,75778336396454294,1515792187617599800,751528412652193485,2608683991666412589,470533283009380073,1873861647699817251,1247036417814840900,595320664689226422,1540736553087369162,696285691018403960,890442290001767195,806610260562965850,1992046710247943245,338991187927234313,149317080795930846,1111200743601639436,2081211481109789880,226658350261872864,2160270591131103705,1493864527802282140,514382979880659222,92630263710211920,57601327638920713,1022519019944006442,733453278200486982,10411193914283238,138836510035076400,1041428264229025800,1568723144466805432,1478154733236250965,244383857575254645,12063242593629800,217170553549857840,1448018276557358400,1146047671886655555,326226132705628854,5526186808937470,276350274807967100,146200449211216017,969177832694795204,779582680833683210,475253723668106490,3082555202979896415,1534532978726101494,542610238954454496,368268662039180263,117945267088251570,1769440803787836630,337599185870276048,237070595512562672,2967350673922190928,217260368704560225,135798828370942265,1901464734689469390,1357527198118410410,539639779373479556,505200657306124860,160035369699553916,2747558484857720639,255040465712952003,103337852571822188,1958365087129568790,1089149017237101000,1098985182138894408,1345404030576490719,2434394513966424831,2301019698026227320,428364138347994072,508579102232061348,648007654596703394,217683676878192332,1628630562295734660,1052005377569258712,1247794073569501794,886927908935480688,503993781556084118,536881127703158240,524536685149339326,845580777371241760,331202187515243448,714860438228208015,1012059531779288075,3099865703214964336,191758489171663893,1402254014858245890,2090606324253450228,1045294381829246700,259327139453596230,158760946074297119,907339007804191080,220101215408200165,152454277840646775,1181028300911286876,669808622946923192,139754126007568992,1572465297781943640,642771662100006120,251166977266234926,355929061285628334,786286650749963816,649456348507099824,3534663959039503485,936084662551029948,576107168004955630,56270806756979832,281395392530097240,585820787479856210,489073566850757289,796156359412546782,189069096345910062,989108157604975968,25318696372533305,217049273403485340,1447207669228016400,2304647370607856512,3038697669337224,30391437960068400,1823753962473134400,320389701046974878,1103354398871089623,2703221383462046538,948168797542732170,3110138177398562961,650214151140928424,3514222876433233329,1391651952651408399,2385668700972685590,678016851302680104,2449393607343509232,1599296243922465921,1158605697033266778,203821515625188060,292131208671163059,298579560633097968,1279999499612595255,514669754848518648,296302489417883790,1317092833382846640,3644254775141242371,2014177649800753098,111153101294328708,429155196495578865,768640130959077396,270217616710248318,1123565487854200910,1640479817187080955,1023797397463795620,107895471176272864,252676220837996334,94920355693393164,1186677972456723450,1840233417041427150,1386276906007732248,553125633887590246,1506856626253299908,134761930644011481,248992446216852135,2134532850390757980,1237466786847801780,1623518420243268580,3005071322697338193,54847100547298980,822826665907284420,1033625042153311608,397309102058692728,659703789559953704,3659229707226165135,674204988256919094,504883949188567914,293152423070975854,666993262308138027,903547940578129050,262125105637274359,533019392273900928,353488330074689164,108296434144621632,886549246490144685,21768383313678079,435431137761151220,816075177655684680,569808565337408748,1432702463143020120,935442542319425055,1267517260419011694,107580694602211575,2151927324749623500,1051750572353502160,545194204522963192,581360145626029605,331493908476276264,810226327541579342,2165459728400028165,365616575557004062,822945866615624490,2786908860656226117,711985961087894781,1465120720916628625,86966031910176855,695829456174132360,149228086738193456,989655747739835049,384362517605008035,862388682109212663,751549717153638144,23578356308918248,29477229161003090,2653336176961423500,217468342672066437,2485713602064331920,1703094993352319481,449451525274229044,1461915870705191025,3359842318434581811,2378957212815582276,421201930815960906,39910182392213670,399159760209134500,979546909074595776,1030361117251855257,854284453101641934,114192771194590226,2454578504472932880,144795367409997731,389787136179726202,277949140145271738,272627120644948998,1314213596098961580,604068893172599670,1195656556514609308,215083576894311768,3226721263893584280,1678834707863451880,2150206535389274985,718148860314243495,724943469830414404,416056541005856706,1051379180872851720,410191933837884233,334815123350582454,1672555343597970804,1238731808906691891,1080225064674781335,1750037056922263578,3650132771293620105,570048584811870506,2688915359360032224,67393490933646720,421270252130815200,32946016020102192,288319334239986980,3295554624905300800,2069718350895653670,845210317577608206,900969996680389386,971703701672025204,2885203941272568472,746904691353169470,3127620802503758040,787103455447775178,261054892220747205,715297320321469851,1091279000735019360,554304773453786128,1003331440602942648,1655441221897544256,356471634993557067,1820878565467958010,2392545274134118824,109066356084408592,749187330095140362,2038062567901959580,2616368731008134805,2298767416003722528,89467425721540006,79656887176655661,531122498302173660,911196967829467410,155213336401567716,388089281833981110,455383787701564365,410830674745890216,527084465437313910,323377290726558624,1411729866782268204,983761115167825500,2465201915453733855,748009877844908950,231319701904402419,1435238146539049615,727191335462274316,523829689806806808,264711497517609690,308915519073953808,2703399822607923180,255933501817042212,1960213663769276367,539226868743606600,755654337543741159,3261420448262416440,552113304030813726,1811164499287476384,151837485003920075,2007557697191754792,3174053867170435160,656395328278739092,746057967790367238,348486043668218490,307605796142893332,1617047806411090566,630473229353976528,819474470519165704,1069785881254908360,906043278315957320,1075279461737789052,1045107986573533302,779828370372627552,512500503443014040,11052430984257729,442160692183346840,1550372542685127204,254792992403503908,6071271218268330,70841659270342310,101216887612235700,987247495347704484,1869034442324661245,2425787138202378930,146713620758513608,1857262153204003842,1138931879254276491,2085794437299910380,2827030865115564360,557250555842515896,720151221211255686,2460046228307044888,828893940918446088,335071742731111910,2649215512387398927,1936171026192360630,298260730869955518,433878470022589758,894942512224767315,17403974157979882,783290934371502810,101212865351836170,809818790950991440,1943637032013426120,2102901115036809528,538486570244032284,2063818560834058362,218690386194576204,1458144400088355600,1929340606660054912,851308962518368485,1986852144304819624,568269246491742956,286755907680464430,2500858539414454064,144838710147739619,852740549081606505,5680212317725608,127823033766975300,852275273233597200,567541349661775404,1120776490306747128,732174650131373154,2573077692857953820,528663801097035488,674539641148693776,1250012607353644461,2944252543595651703,1707827979725954910,2573514268620360552,1194651422156006568,850967734860799524,1237624314072612291,1977854016796911015,789725527318418004,69761565722932902,811446543520921551,990110658580881096,132581190665177365,87507855074775458,30375222088643901,810121337959959760,1103194390871034742,586477265327020230,1832413966145289740,729302757083614368,1752871071396863970,1063349993831657064,121293534557833240,2142350364418843716,1171250129911750048,1078986170049028266,342943180967405448,6600150033870470,37720509333217040,660202826357797800,259135070004525342,34409207012835930,137656403076436200,1558474258315039998,179589484733956864,256592882831531520,3377667447706053720,2539477946943505365,196829705707672974,1768040194084014816,3427436724860268135,3006636182181886992,976100558956730820,997697759501540164,2784600486763857000,46319409777730166,202999257411724278,2707041081845876400,3396973189159119249,2704589825069611248,747046297387210758,1191636745328754216,2404556422274174580,418442952251528271,421056806685611364,771361384761386096,1042655148917427060,2556512802786324340,211411220630959584,2361204401286198888,380245890935887818,1424440604915396621,1254374646742883880,246273303796109522,3334428287819930736,260761251157664136,168719979907891706,482125383299998600,1542753881167743090,1669891299329911740,297304202523345243,2326520270047763448,429981749323910240,1683053269904959988,2952149670287047107,2098084605425064792,177182198404020840,1063243645645136400,374465708655915296,440502061678997604,605546141949306894,50577923182609347,216793188765773550,1164248538721211532,641124939291100304,917175284395625995,857129495891784336,623120584912282230,3144645432761447808,228849113226072816,1144407277917959280,715700382279152048,242278466394764880,2775794156478187408,11387471810678476,569454014239837800,274113253104455046,292572604680925860,826348463419558995,354947142019990191,793759797268276014,33026833809359052,1156102335198783700,1765458621058409045,67683799500555906,1219529711826334085,2465642777979978855,987637859466855660,557388677449190145,745172141223123312,2858330320071219225,570445838706749324,755699698658474490,3141154932915949728,173600455919687671,1240178027187881150,624414473746760430,258560380879775355,3853507208794485327,1886653459927001865,302285319724962346,1676989554549886312,859400548450425135,2342761364803683672,432491501986365555,3755483838755897427,793647328316160321,118893743675240940,1189104774594803640,215166338660494932,827488700822007896,1156912558432141392,348931526703165165,83265250080790778,356901264500360580,1280463328548888376,628608573396933764,1600751636618760990,406186361941048976,145242002357634927,294246589399859862,994532125375364094,3167267575072334985,258139499202143538,737645052999608920,1639688632733971328,2462102791226439456,260053187511101265,866965699964162430,1379932664133186810,436742443205261766,593971891605846036,354870144055087830,153754419326126510,1537759990065587900,186874987830467592,1869012103897635280,933347893855374150,1481961030515015094,2309076907590125160,536814967974624264,460183962688048746,1767878891804747240,81862500237407235,2456219322476937450,328006479917303766,1539947787669904802,16138552259971875,807040696167593750,2124382049205791557,1239721672982842116,398818560915335774,2212844267301832530,1911898888719749895,540905455166544560,829379030741616216,648515369656504464,1448094470916705880,302006954021006610,166544692804340067,705670035427533782,27433999343113194,2469405436232354100,1056377789183148282,1192789371628220456,354863169737034522,271609029696381864,29402575709050510,147033436814139030,1248329610728083768,491895276656084842,805129006077786015,54038261596477780,102046838481289973,1005660958254465828,121257737176576621,3020009085716784624,285439724137194735,222489988279357948,62631871777691310,1252812379278850200,60157793277640951,813495716409104275,1550731818944058195,56598138780099438,1415150976653130450,390898632101649156,988444844980088600,879373642062705008,10690100019207990,160373871088664850,712872189418174000,24126101907354420,1689062667981349640,1718331175533444680,1945874093576984490,2989783906599001952,1093462867920697200,3419649272958552096,2520904542891859064,639955189549174671,2168262736379999064,626154555327780420,766721989733829609,1772691382981208025,91574470644715544,1373808367281701640,437608890672426375,3913044978328839477,1148607557287520109,911365339543590258,2363171820373699908,3301999904526921120,160302043856682837,280468709265310821,477478927259087976,1612049712045939774,323754755580510240,2428498411563052080,615799680040865304,985690750165960251,196611734413051601,200727552179118870,1449875751538863552,1672823023792418520,1299679384495003032,158021174774743631,510526844766661030,688137668072610810,696497235843783778,2727357866739807063,3249193383238991886,595839843536959520,1514061564821855965,1126889211438590976,1095546461960029880,1266890203055001876,2182726420937546805,213598781587286335,2565129907452579866,998514861179026848,1089457783684181118,272645640196592820,164745622479684162,941534139974470960,140023257438873585,358796942036410545,2197942819135691240,89737735911879388,102195224360104986,794961929470119180,748274647550476938,2504756886181414875,988275960884021504,1046265423185130822,2687588072761147563,2335332724779895632,1807270777566540510,1456167482737051380,457107866311143230,107376500629890696,2416305782274656940,109619863818438150,1534890541716454860,2919173269874341116,1394541696706089224,1233195009262553307,795239841930158415,1734128984171716272,1024636331389544900,2721016887656007480,2616894327949417539,241143265231165880,378052195381339290,560422281611099590,2084918784006684906,372938412900689100,300209919541398020,428930588934851960,2570823743810755887,1308969268864975424,450276255008914260,83794789278961680,419031823181365040,157275730393165774,237117261365988411,1302874574069236995,334836277991177445,1577341900733681292,25997990461111525,1040063166147961000,1488972502805127660,786075390147917950,1175172473616444895,850310895338622165,1938575495204254944,877351604537850248,1228759210634330160,1847112776964213724,1633449303615657660,614801503801357137,1184685518110185215,828244461943224450,331351847569194552,1656987595151553240,621980752847570265,701955842375036712,1535158232577807540,2383377814175542506,3732766465545135405,380030198403112689,1119514243179247488,313308323970368880,451464970547884678,66859500814420485,222895685485137450,3083443692028199024,2281412899721319870,673049403059493222,62268673888646055,622772421754202550,978255358606261812,1873470686137965675,291425025655038622,1371231369287373492,375719703957646440,131433898545777138,657259854007944150,3195524300251275136,2466048939085691376,547068739754973891,667035464632734226,396778809660866670,1147249001108751732,119139539454770528,1474167352473594470,1290966777486140190,1699291298018089125,259216275475060981,2446309738279935675,1772562975832485395,1617944018142776564,37616692000648770,564327834721854930,356399577822929814,1741224065889805524,1873762228059242202,2143766620947069900,1228242982638571335,210696594762329315,1860644342897083548,2027040740694389790,49731089623758975,198951636278872740,95827790446423854,296096189399950370,570467617515323612,308838651794188260,1934535148805870658,454656971638845474,1231849001240647188,1901276912515099540,405725719407277280,1142769740821108860,140414473314836860,2808674073939957200,2875294228096060248,884533490984105670,1848527107704149385,187791829026874572,190241241346846670,1522138235187469840,1204332363931386240,1432735206223732684,731937425271695844,1673864983726870635,339273285050582652,572907157822625025,731834696331951228,737635529028245500,79590589617388036,1592029434131576880,1111618206480537120,571972474401215184,405211450106850672,441109481461670376,299866971592748829,579340052325682560,124877614317163852,172781738233016937,1118380204739551383,341768749059618162,235631270777565610,872480277863750025,589991330536228476,814294240185736908,1137596033676828210,14576185879195725,291563505870599700,404361242939753604,637800997664619984,633129486975036424,1353347957747763090,2673990978552271092,3069627463389878584,864500255940225864,1402328614661298848,2356772668955354895,197227218006493131,965022041729347428,1497756335039378706,2082179939290658145,386339005338808200,178899486531787698,894619314213637410,1576150636090185492,1081453252782113685,2588371746300233910,1632433426411772089,193943502286149195,1157766666801899022,345617240063836326,489513472260125420,357895554452207550,2568986290060686306,1378998078448733421,463085670213301086,908580157579931825,1009899834286382,60602233572649080,909157160324860200,203485030086950972,762093127231335270,1080215223778014996,874386345697267702,1972173133249808811,451055197352372740,1790310130121869620,383928107424908427,1007850956516042530,1179673790063954688,1174235166441501216,309299732876766045,484346321404352064,902562227326598562,834149712633104886,99212609806942996,40856872121463555,1634496782967076920,3548954745080497888,2363652993106627971,188459764919857731,500183015964276560,1187684078181844551,2968226043610387509,864796455352255032,508446943769911788,2619021492529928920,742909887651633849,2956415357116935816,142205778408768678,125610744124525471,358936498884740100,852274584709785698,620113710376278532,1632013236434058489,3998237784722304201,1672481458310286725,896468948362908666,1119739367846289249,2978385964910259156,224924569985964162,844544377110881440,1136485050613342928,499688662249748910,769521199785520266,3184578393231641464,1296923054865405960,212055798361099255,424168997657695490,505733218696192812,1748756614533443780,1479592163161593175,1502085366704976396,315878265761112468,2894263416866091354,128388995916575976,642031791406639800,927470449899761796,88895878691305185,1778157931854173700,1296150945067719588,2954831474365053480,537290510770722877,618961088745046894,1037297533456972476,1999931844246774408,1875767278111162875,2006020629727232976,861645427494710060,960582950670768174,2704132605110232348,1897043598458265225,1122236313995290086,988491252755097342,667043203288613272,749984874570988806,628337098892784720,2938314464001915687,411719779832459432,222189222528890988,674199365568576351,223401941543393800,2681184865736345760,3010206459892947957,643768890765359295,1105872936278325228,29688543542680320,791801216923013120,492982868618506098,2201083158853856043,1026976380168143265,612926572165178355,1663000434050644132,141665459742631784,1593951107813996670,2735640888205556233,2041052730107931810,2988953149067309424,254732379481590146,2824089879383394912,2150933432194988427,309965439298307380,672978895104898796,844405462090115874,228319321646751399,1776055889980217930,1866712945567936200,29170164471321315,2625667941498667650,1212922559496859056,665390736846551895,1225951349424289080,1589272030714666656,1984375612855853112,201471952467738546,420520842811552866,771079973033158710,2366790499401671115,966525711287856705,1356836095348318836,2943812678136111096,447834199549141335,2579272414570589336,3171898680950523244,748482702429101046,280380049939755684,36942762481295335,52782460187346930,328430470314545935,778710821920677108,488522785722220410,104771424121985820,122939759061538286,1370355185740858353,1080609962045643688,3405250233218654048,371128305952389180,21686503733587764,216894119330667960,482051560583800800,862299772369983135,161036134283816300,1288461765805249440,3984706114289651718,1036897697993290252,1657620304362521910,892877495081892550,1472447156651445535,658342294608465168,2044306680043362568,2140668828201969495,303277605852846375,285875123578087106,153136482418564924,3446032159946343690,118356046393799004,2046595316787216880,1669779141239324325,196082543935725705,1137374463313995882,156380827380378648,3519039359794002300,196008044541797104,719703734511383916,99397580073896254,455674664741764062,745930262925132420,39320282520991812,262170262544821520,190758631275195327,388593884847835376,167427108537924040,1674494833475371440,1166928334740464040,53052836783623590,795898868407351650,3773346040519386795,29508277840813785,177073313412852090,749683497292479942,1912578899832584136,1975278369331213650,1359510471006037464,2421930748633914888,1246386299851981824,1287554442394083752,1273349206552886790,313232555934628182,168565834379282211,287890839137237871,138224465740570680,829457414440966800,434307022008503315,1179474321648454824,529302315489726527,579753032510341326,603334684396538280,145404441588846652,2345059068880102353,1637235530035935930,2374096463986200990,2010657331422965610,2202830743416645312,403798289452902539,1515399816660973730,1146247750839034590,1273748588963729160,84687746976584434,1693980468128748120,121381078032889292,1820958555404099820,1386851903307264780,1326050130079684296,1280077448400113058,1317689349297645390,1488288689962292925,1025485023767971680,2143069699390370163,2296165939453359108,1698550901466112840,755308009664152326,1602809758360372275,753973872214071538,178316832382015782,254772196441326460,827511394315256460,1175149782172495620,512394990302232192,3471136835615410203,875577187670463408,472564215637349898,508780037517544245,290142028329685239,625791248447815744,2126547454859484085,237501768210170289,1696666451000187250,887191643928469128,1368362158012204032,2426845616195171608,656814003189399924,312740412042860820,624100587062097756,1219098171993011688,463267446470539164,2632308328401180432,485602460067781335,210071060238556389,444630848490547636,2067156917124069888,1257338469673990968,1136209135430749555,1922565215600776791,1539283660795671948,646806084392613495,1655329375159893012,408414182672475975,322850691694861614,1628746599689625768,2476614763477721568,1094731628891653352,1154401076112951225,420944142240760770,371396913283315117,3778242691591896111,3462267407569161072,365196300809689780,442259495574827063,739801969309874292,1310458370003785833,258842018755590094,704357112756189120,1568738434144828247,1782235975955550990,2393323430144242491,2422771544073041400,200386701026088780,709382933257657752,957543149304443016,180870467742731125,2532521284525034250,2846633319133429365,1330485743165191632,213371104028991291,948441328016341960,103913404604743635,808322145044856750,1685606198171061808,1967771216626682112,893420942776533684,144747548306960638,275595778190954835,918773887281363270,1597020701020327114,1958088723781983640,1087297971060368832,1655926263062138040,3227236796379584196,1937583077000577993,3232837391414971000,1808118436293370558,1311041319607210050,879658151752818786,751997513531536016,1867846609617439308,822475845969696394,2286546767594087530,853695437993582676,58525832070932401,83619351942111430,1451080571042570532,626015162520645570,1154151593993329152,173737364527131048,434400633572703420,79967957761045677,325876871491911705,2076875923744240940,2534251186661593392,2115179610310635393,885683617009920740,1046820071419496895,1359053039849692008,1104019726178742884,776750924809900490,354027565815777576,2463918537966371430,310313413770082554,1022397656699699928,913661824873475275,3628960855735721301,1169765699030997450,3081479300241751304,383903106214714809,329781610764366924,3581471700452340464,1206104928712577970,657373963112196732,871223788991930964,130990668809231255,1834110340646518830,1702096915307741925,216915815051644460,267067211767886268,1536794290509221576,165325555121166198,734876740329190800,1639606015674684476,2338419989083134608,608362250459679558,1800139382840050857,864380316348918630,16472155752849252,164743174634711080,3127884388470725913,707384462272704105,1848568234923972240,667616452475097414,2801489449323909,84055706456592270,1961557028344725700,837996181199558550,1505121318545704616,2552342094791612154,1317633125262201558,499835791452258835,411660255299323140,457460226979975560,842384463169404909,2533331482606536390,2022606948401765670,1361956285762886040,2524191720832696124,792533604665180007,254467291534461575,942216687435100290,1100777173484304120,2944994246789732172,770864987435721472,288686128899749544,1604021740012497200,340647888959016130,60702163481598711,774040368769780122,3005300687137173576,470343213401322858,799018952622954490,1350887514353829392,760826767765301343,864435309923676870,47855021859683181,212716793311050600,212816597277465772,427128935877737896,165595383428448141,73211685848860603,759914672747617815,1246759341885298305,1709614249636238016,2209154988744015880,425862126343640508,850826371221915680,420422449098084264,555011711894767284,4011588007203649023,1283975196341490873,3742067002530449280,1447318333141513028,1305786623843496795,1066538354686474125,1285317187293198492,669266641191810360,623086985184940344,1180055726520168610,2201410343944461840,577658472049539279,345174475893408205,90639808899564731,1704926021366258028,1260274918020089658,1432735776767266096,1313987311177885710,1608739450838923212,1671554402214509190,3446860002216983865,465281410496616251,652696460892876790,3030535356021705504,844570453064001258,1878063423058887730,2725531433756218017,407983334590558710,1360121532941306220,1016551008429485115,324656923339700154,1076683057583425974,2102811730258075290,3697757923347836208,1027416727650835744,160874988382904445,1311764627930154072,1363197460542882405,41050919765582124,1642250376513062240,125425792030502708,1452343027863379830,12830437678744930,1154889533426858820,638097876183261708,297542601342242742,410375731374714690,2708046790695898440,77342277627164259,601629217493694530,2262249793762106742,1570739470296636484,132065795607688380,1599176855481756507,2958485032263004749,390509505942220792,253619332290234864,3382030177819651200,363751035500949704,1025000024521779036,1322962901118775125,163674776165758072,613860067553107950,113043739215868872,654990511114778456,374491802556499242,2110354669023404545,1057217190525309270,416491763078121903,1263066732838337232,340411842346622376,122910852688913037,1053658187690081100,1521881594668839545,139884673711950732,3015680815961009238,1305917526004837692,2878515769611421440,878959153300289474,144528351390751612,2168206131228129180,1559263021200009167,579234345242595540,3787964807451705480,373512174098003213,1712275313895505695,188426139875399286,1570421119119844250,1853635987825687664,377397610785764088,2274704474812208514,395878203302764621,467359176064408740,2056563812907950941,132621244619467160,1061107207314962880,1807839065012880120,2545079642017798160,536900070030840276,2310969852470994345,419067834072910755,2553557953019399856,1480224797123969760,899939535215282913,338458717274790288,3242382879079260603,1003669514986816305,63130448517492270,1161650039222136664,479764931500263484,1686081343560214692,649604012413127988,2308973172681395010,3039967507270577904,1183660028857135317,53086903514827206,44255255305523763,1327829041529308650,181585672642479028,908045541499879860,1425699143195870727,246650406454394798,2333633165826071940,1261197069370013800,345434445210385833,885505332392602620,618614289598731398,676917610728271120,460406484167277858,2113995033659547588,554225339404617795,1066750409766177408,2865875305786058480,337103368893543802,889174820976011844,1902027764586868506,1944857270476281245,3048437611661701725,2755198916016403848,1196638441703766438,251350248333964428,418971031109085620,851156179295848320,2769593824755811935,148604604461679498,27629712955294908,552665390887250640,404579735486650010,205152970716189726,1756572068724716403,2913237142671179646,1368236514003192621,160867972979013645,993035825465322933,2643978068084338824,19965854151458052,299526326022912420,70104976008979485,200325684784384260,91944359260992056,919561786121210960,341154460768792212,3796298742140721840,2035490541635574702,2273597165405441160,699556016963742315,419639855113081916,2500438691286747360,986589021810372165,2791712002391743296,535900067783169651,948423399548418927,661788078334754040,1716036129534300441,1034823056165185,10349558888322850,14786981796004500,443666385783975000,58673426829961592,513458359751630370,242898970185184547,1864884700735543848,981251622537386580,2939159554404894132,3364181706962523601,3099147341373676104,2184185732805081205,1758996979746035560,2810221080211526904,262838699216745663,1548363858981744735,246425789469785469,29042011319307700,363071659516690250,469295531195198754,3421547872247171142,1080614965082331063,320137006309131270,1128316240213945821,1620229444353953304,240895688643053775,2205736772388820010,3327089033625612780,324193434573513537,289038432481037712,3864121726402488195,1776310929139287570,424896234486896540,542048614221925552,2255365870480292376,713170876277545910,235387694992004842,958219676474124300,1753311158796285556,2646299136965718276,467769787566768276,2173719781419522723,3547219384044561360,1959142898978950416,1840040232940182212,1454832067164797997,1231356506753743191,3053145189827005280,2904066751933061848,704780705086333596,2533960240368376599,2434924043857406885,116156376828952425,1394054532962671860,3136901275937913192,173345840547801354,577893240178829020,839837757471310550,247354449978466854,23194152478040915,265109858270011600,1657148058078127500,2093566719531819180,262726386151132179,291955448192802390,2684929170077820210,24495391970156057,244985160624004950,2357280837598278960,1575014780262357738,1210749724125781320,29031488492645129,1742111360175585900,2144635786978864575,2634996419907957168,2587631727199376016,2110895706722858064,1301857144706788600,1274447287936282491,2552946421512374424,2335843442435795328,2213452588677113275,2777922346680531540,1188950405993203399,211657493619252301,401538495666087774,1041020093297797878,4457285691222367170,1469159655618934251,2602823489349810198,740140114710881892,684820857949145253,1789566474985809420,16389467229292674,437108056418811360,150221389393088451,30504224357583361,43583005221883050,2179427362567416500,1159027337477225088,1935202357330662795,1574318297368683404,3668294880903874680,569892198048809535,730155917627761120,932946080035631468,574935317487904221,850558160386254530,1930025416088078358,1627232336709418170,1806068425218051080,2146462024661974096,980734070294138625,1407494524280783637,1712147949070740104,599525888353579752,17652270834058317,353090228775231900,362900357313902892,2047347681595406735,111537574944623406,836300929196815782,397390218706519220,985510959845040038,3109876875830016201,3656319295076281488,601507149472592349,2527020342391401885,1091074597953634449,430804092370029368,319854407585309256,103510409882978519,226795921607240160,1512164433548576640,866938016012300547,2769350487595224925,1855681865946318084,1039402374943388015,1947416495696261824,3390422931668151837,2184382889131468552,234389828457248425,1387178140548329880,943808527463230516,1794806056659466504,1473793752683263788,2749329754398701952,686397000081689960,2508627174050328261,513943634284847874,3211425949954609773,346339003480062105,1542265184558003640,1711752563994998316,2232406600849002288,1450000054633649225,2794325954335826505,1470923459376666705,3603961577160949293,12047894002352688,135555941324135340,1054457255160535800,9425558853148530,235668750568483950,1414191184497915300,414645309787352286,490112165658310734,1594538387651736040,4413966858718128441,395505588156763353,3133947733102055793,936315043871030308,170936259983678445,616935585483558537,102428236567453716,53840897279524185,107695386271108330,221883921314118630,714236620893767829,2620280786962357106,925806555379581036,2460309224083255536,64490057387771830,715189377671953465,2132722288567674420,997668831925566144,2915704207645491912,2382409054498166715,3512762804076275952,3485649322848782601,1426884779797989516,50507617167606721,18381566454983585,210101518522658640,787979972556005100,793880383543601095,643616517323844180,1126936445670900440,1516133054348340875,44714215639816416,1341595401960617280,3392770343838108282,1914599396855947770,1549235096065405512,847068923674554444,418358971014075192,313822393851659088,3530946251726991900,399075906826524891,4195136709928865151,257925823843912546,1976495580147122832,305016355886302125,164893704095270448,1649144426197137120,687195702018030255,1923623245924361394,683671607094967425,2100382453357776336,209372304953827930,115252704344291652,1152671900156797080,2806386915800824065,275195936582106084,1651574951766747828,555711085117326756,1686533604948466812,358023479773843780,2207660721068411512,1413786409415197470,2695358857897003504,2717689029218075344,2937975069136135440,822879795004097526,2890303069148924032,689952060598067091,1829852451006492241,437876481994286625,1481735614671839172,1497215031643112301,441340783775983563,920164141844271672,50254081361826595,3015623073303751020,2846300171037512958,191572206236610133,1990766066914470995,3520262529403641480,1409496096726256936,1949687952457652728,1914719478295720698,308155647500524496,22020363130734115,880924899086105160,707250643499749952,995304525914019884,2311449450353786610,510158613763871160,131080444444045033,2082124116633139488,440712443056680125,2820573375112934192,1937795674221453720,1691763799553243502,2561102346557108835,2482525983570878280,180940115449282164,383761234078254420,452190773484207003,2316533903243244930,465594807654255741,1103870893127892141,108793617049285130,145545388484507972,2911271815382759760,765968155185203991,1373367605037612892,3091406824692241440,1544854912046439805,209558276166386860,838337877465907440,253902782748315728,253230086601991110,2497391587497469560,840545957440515986,135960750738942126,342826803657859146,1509854130265960520,1719125136216107448,229023002565719916,127799324744715234,781701281168038818,61714318636763625,108300316407982373,130342938467097248,570996260476169028,1228343403407278548,64790008945873920,647980936040171520,1107013502651422932,1902952381547602746,76942521985769112,1560176737577178330,105684919426589390,18871665808425747,943700956242669850,1433597791318514996,63099611414793540,1419918250549084290,192295212876469284,961595905591571220,1744041853798251816,419444521445284410,377940916313818506,208099106331244609,319826824834680784,2798833333801960140,2128577016141476925,520843634149637382,1227868718581583946,4159211876015778,332778380936484960,416024766368667000,296610341405244896,1153639732569157485,1055005758516213192,82755681685452135,1266315257195341420,99314568123235428,964122137085394534,439528759920157186,1068029530906664214,2515741407019989550,857890521768072454,395552891180213772,2659445758841869626,3057600017022924726,982360536226684290,204258279232162638,1014607764483587142,2332491728329672515,520376477155989993,66232801040733505,1352803926296232927,3831819598353680192,180335366387101843,2400378518398489191,633912550003858050,190909745688261936,1272889700805024960,858833648902480336,96919344769946012,2907941340392130600,1162771852073006735,2197098027618539344,364802517826344330,1998225010970259043,580025443235624850,2011320689645150190,1369573820495331460,347167822186181810,1374249271731316113,423532650990501415,257756368080200868,1310354645185621470,481851592564866975,43788660582181546,1532793139957208850,676078461701802960,974451162488933202,1159680327432385794,345744588685095177,124735209296481160,658469132083153098,277760828676271376,2164227008711374764,56665343211105657,80960517655005850,2363028149061084664,1910989208164514775,1106356930304412145,929494261046606652,11207383326442530,56043854087563590,183195060016564228,2748266034787445220,2773906219055053944,4540921810118364960,3702752862281565993,4075878775963107192,459655828778944533,1903542446025470616,244949563401488290,1554672587729551328,2782794357704548047,2944332966208068232,145109339996390322,1260593214721731630,77686676766517084,1165444204480620540,1926350568390087693,693228151079696900,557147527939455945,1238511870478727556,1519724813088784,30398251514175680,380025086054844000,1951752565576440840,1500148279881133528,1093730963679428232,1338400060776269056,1734832228084026946,1650650405658881280,3578628217537432647,2316826139817796965,2503717505858104230,2858506193697330376,1418093654147994840,454046621204749122,479795103301717614,1987533667548230028,1473907749410078346,111948249950937960,746413721978407840,670290685034402754,82643107030306904,2782316559201214707,3027549474811530450,1166728008362943741,1066104886225979436,77381339795280825,1024812359097127932,982537395185155940,2022341813870419896,3196552456127720606,2963651920248781132,270336770455650192,1532580145195898620,819423291149874524,1482486059219746023,1666253041700723418,371422611456507170,1208475235586727660,1287608197408876665,577093466741923064,405713017395340194,3415910921485453288,844198989966264730,674262885836746584,129301249461310701,2042679855782627392,477735377274670212,319582722654789435,244683978247782324,2175236206172281920,615959966560494425,1354280593918933212,1507314954041898660,132747033908553031,1154590525803699216,1445235394057226625,2634504308090219385,658328173512883050,867774809715741540,1057956421492097226,1019244643364065455,1915678766688089436,987752393954963055,57501945200072816,274792184364071835,265107089930682933,1472998033864586150,1723706855044952625,651027880747323936,1062661294091793936,287459776243211334,544112778809797250,941472905493184200,1220150616088714344,1571741038360560170,75444779544673288,754540359840214320,1294782407546864260,555981128306752340,489429796328450838,1424937707974409816,1524158622270636373,462546521472478350,3634746901781082417,1946177256376965695,1455101285332219074,1017948679270887906,2375728440477772770,63390415882167390,1901945523732363300,79077189138154804,395434389817262580,2109667588127905995,2829786138400257575,1943522051630256045,465460431481603778,955519993235485448,900388658446461360,1560558399381438740,1471759406915002974,2544516169114259046,4504399750080451062,2419654525699301960,3294528877601252280,2759077516835022594,2085031642541792430,2043436982500890444,2823064085928739765,3355490502193299039,67721280433319259,1079564098826352769,496150713641154576,759937884336039285,1321138706197177686,435418770936450792,502750360910179368,1258254578457079052,29404302704388480,245065804798742400,3921532074619033600,945530426505280315,2559711491231278872,113980716336836560,92138440943674026,2764490886134404020,2910542106537911132,1469259673435681713,1264833125308636065,703359373990289877,247665504340671538,379549366018985328,500179339574797164,1411486372338940520,3987207489642749001,467813300672112092,1443981469304212608,923954964339855636,3193574760653686325,2547250569337122838,3918433123799653776,1042253141136880938,1297053383387363192,138460779751045995,923184429369150980,1243494254463086988,936598798217760018,1922213391418734456,154309761143082690,1722968206455028071,2875270499485580464,2203651663347430810,606800729667828132,3565066694763167720,1751945635176617958,1198586898985349664,1884635711911641234,2045428932318741700,379465768449381045,1008936576493145289,412552816991334744,1291188037985246136,35169600689400299,703477641652399300,1795117864181577690,2157477263598519910,513653433894737780,1001548355360394666,1874985163830356165,359574068755920680,4045700407636976850,1121828345650899024,680085115878164420,477171451692259260,1249749335879886204,2341068574373186238,1632448203230845098,464311922610752658,1274345349806952420,57838876330819488,1012303364903376560,2738493100855553818,1096371033971043405,329101462802637480,1770637324498902078,937089388735338915,4361692946933967165,668194143241857449,1706700460388011020,170900918980105256,427304182500597860,383924080896396288,959926739504698880,181182214916233180,3624084190919690160,909097859840717988,1940546181551141725,181495718258705091,2063175425012721735,1245004339645537954,1347309766210001097,3046038249946733559,1691891999761723904,3169341357314682690,4172839621918466456,1364500134559124679,1262470514382745704,2041783431901180820,2390474492616397565,957087329252585712,1927435145819903916,532080316296265825,20810710636789584,208132326328914400,3642757073828597200,873890561698873386,921065645709468462,1024955031424204904,2214919065672525600,1713895960374273096,1571943710425623355,2468313163530721725,165556447353187717,65016460535602765,479718537889183692,1248171858907067376,1304565315334142136,472621949164718748,257228090903483905,3600427279719872656,2043899622037781088,2160655972592218540,150432284098729088,1992247834391474895,450267207263714010,3326610236267759373,2040701804857914528,644071431075103574,267765709610378240,1338990418453048320,639336713683253848,8638056166172642,215977506622800450,3024050538656570500,339050410956249120,146520500505309147,401929038260679684,1486203855877676255,313491855552658875,1427103203393580495,4515456536421300234,1376101686875329998,826659221098189510,227957475263051060,301776028088365224,754531154628905340,325696841912422813,2326686832980451050,1181865036783799620,1696743563839313528,3663150289226976387,3515921699542338824,400186426645664262,536955825093499020,82748708367568900,620690173277783250,1410544856700994203,1313325591369026202,1018418197340123460,130606141292975292,958724632498986616,659419814754614420,2017629783334811088,776988544861909040,1356558459367395609,1761152650522347936,1207576180572647544,1372375574015656030,456993899420267250,911602850691737852,1149073984593930384,1105689490720418862,481832684167768478,23928019348519690,717927021611089020,769333581670406604,1710252209228889552,1248731463316704,6244408898783200,374709630261091200,360144682347850908,365850685428388587,1352534587560104364,1386040674120395040,342192434971601304,852302924838657528,1591697271198693501,1964988701655415588,779479346572993160,1317996812989509309,785844707696567722,156734136435217662,3135059596125126360,814408120069294890,973017483513149883,183961367524442592,1533195636731645600,2331090855332763390,1220627224685513565,1424300581149826980,678933111001154300,269452492837722243,1086936295048912089,2036726571275781900,321245747176690641,2660118894471057375,2968932977479072818,733091053769372142,895506176708243760,1259539832023127598,1774277479223649996,862946736098740476,1095563928055244598,1728976219639774920,174072718715947464,2611404057120533640,217547245355293335,167922476316098292,1399521817788383500,912418953434652120,132801728993462328,380682170708099331,778301884730685744,1670094397750634325,465057997688535792,703044943266943632,3072556995262764453,1133262568958357808,1104247533739243860,434410892390006130,1676978213309469243,1500102589440950226,1744295394887153810,1044819786015962920,1840941715607436768,894408579731042328,1163663812923953580,1965443990030654535,92790538438251510,2784049429899562380,1204999981780741605,495535162780978458,2914049091598604478,13098798251589660,393010973786735880,698136098222445942,516534944677037064,322124995729853363,3161790694734193950,838589915997168774,2520061660446657294,853425970477499358,1973186948857012284,641997871256140760,1316362123035068215,2852985767080680468,2199730613329902580,251618006386532352,598496291472405810,883868160430148835,1240202325646687425,2572896201613083024,4138566321915424680,944144381092070835,1790780871443649540,1415205727097843934,2954694913948782324,445525699086072549,481587750861709025,2115011329775265715,896116871727303138,157781170829512286,4473328581856066914,530208869737465725,2079733996323009452,2003265533258801238,94735255678223892,813322463439413106,562030575920161370,952389528153115725,4138711024761453416,913330816318317369,1695820687067093175,724483117508763900,733253743487347372,1675128789107225448,398625204441048519,982897037912601755,1024457081141113245,1160538845147019016,165901178310850055,995525696870953830,409078898519644788,140042413941722405,950363701040965068,1375277659042816125,994238585928947384,2857604655401752968,3717563990743973800,1238854230295298776,1930298841150023475,193748734976953467,620927660912665098,1970079987174402420,171445281097536948,857328438943375260,4395759913837981971,542025618426582,1806967057682900,63251372121060900,180739707017846000,360806740405534907,3151019067340897872,1213889008398502150,765883262870977536,2661519570040345476,3798824695817528734,1611167180012945031,1920529521110015580,1815063320073945096,568656213627206148,2118480602075264568,473575778951375202,1930621361380863700,219309861668012964,13308079143895221,133096602472508010,2662248279908359800,254479269359812320,304202720226828013,963762083286894765,2948785024653827310,80099522633820685,1281744531709863600,1540200098583800418,1401955443734826138,316821913362158916,989877800080702892,47280507799858045,3310028307921167490,1480746847110850704,1730715011038318968,512282768441905911,1960472334237948405,4345322399211928472,4204226168777619384,2788440553240530104,214008790736106388,4537530536587637085,666007692247464635,964534238991245856,1834266271478421984,884062126298756896,110246891526398480,964774628842378620,286726314878448054,552253170514912700,1733107807136351016,1428019054307888625,3462702981900387092,63609078196771446,1272332245827146120,2698362640939537590,126917737835836590,176476795312864106,376519521441455493,1296831962779069632,4223942280162265008,2162368152374017770,2267158724670071736,4546019045546595045,389474277124958799,1022575310604008880,2021846179025130575,429326459713215682,1516423722063555573,1044209381211924424,1476179465016782512,4203747423051178635,2629925206063884666,1481443505198583160,1675572914916148008,3615542803408967752,554889851555448760,291949057213691346,1266391549831670675,994781036285076126,86534036759793474,144240436689497150,1385951293540920664,1059829146575419932,122071631507055661,1119465363887496504,589569366155715240,377363000036626486,1933934481324006328,3579464065498352928,518197052178485184,2521099439990643240,3674619444166902405,726305052501152757,1582141571279572786,519420281476279296,602411004195409530,3185853296042921371,477355343084594658,986166515966286988,1613220678750162612,2607421345114303170,3005058219699533646,515108284210428184,94492884448297737,791014146773103986,541755719140226425,2669881981361270715,785690409817623786,80368441590908359,761765875134251229,679661781588827940,889097537697395382,3503607666096696216,4233685677904380232,3069896072904612783,549606175895739900,4941278803758926907,2150301595163876892,1267268030486072469,1113561076762012593,408886508954882680,1409410634689328346,1171960882943715984,3272348846921048226,662788861722316236,35874539932845320,717575241779095840,2768405172203731896,1235046818018532096,3975145918347159954,53203733850014580,380071377147996200,1671071902206194776,2609078820857582166,488630932813952121,2372710245063890950,666235492011494088,129206535653281812,1722956352470286560,2492710517534001045,38407436848458890,1344418292951231890,1588997811974844906,2642366062223297508,1079150668579349562,2559989014036206570,1204067351157605643,1330032079431894411,2985719771881970592,417882655429842118,2805361426164445515,1063592811741736575,1149261555039318860,87951184358966348,2941557835021379397,4541220892849475925,421482523922407182,897499762907202162,1559754530753073056,140725496971736205,844452063194867550,147066803035732995,490280192455846850,2859008375959522776,2705423378845619712,489921253157635440,353515122600447438,142567382114896148,1425841002413647880,970106731257295752,1472069352216641640,883132622970003378,3231447223672586394,800597204036578286,624699758876395105,141268861892842860,1826683279434567396,1640920797986668950,1035710023395418956,568716442384961061,697661486661753045,215395893729869244,1567537424476362231,2104325385590027637,239041960782891804,257321329358495730,908955737344289619,511235311359440010,2355810361262623986,106651070057223414,2133271054592443800,899205320905609032,245749299176194992,819260182553919840,4077569056161221536,788950979635289560,1723205902480983972,2936818647923679463,613035815376160018,574099558755997650,736166232822700200,728975734343465006,929849273465797476,2560579435246989240,3367887900320734120,1906437286164455910,2382026575714253850,230957684878091337,854665732021241748,467871546103697329,227962214022524490,53978490247977192,539847960442596880,779285174776015466,866519229551205,5199722584012050,121341028885909700,520093705345947000,378301960230633786,441475581267710478,178815893109643605,233969336882278298,333587059442654184,2780216603442232200,2725886577848871435,2615515338431549970,915062173801444482,1041315904224182574,251921058997223244,2099587046402898300,2069710732065023145,840921428709198625,8509744994670591,170214746295840820,1465998908182413165,995039240785102275,2138106294166418632,1319759268974872125,2848247836798376586,645241557168042164,4469083253376798240,3491585062631899128,3123662856012973776,718730544761244812,726985482862208634,283217512969662780,3083315003492373064,3010070331052944192,1092590311711840112,3031314121572496039,835705919630768970,1592762878271314386,3765023950109077242,808140177141291837,914031138481884324,287909105123752620,2802827102415445161,88215137736054049,1613594958513631435,3866082539051406105,378490349718941735,426961726473088088,3163911637076903871,470108643193481436,3578877654911991088,4987636044757016715,1505877265464880041,3235237992243851196,2106089511457732218,596198613357432032,2590259083389973870,677022252857131596,91299308646200728,1369648779295087320,244233619666083432,407103329031060200,586224171604999284,1376744236041217056,77235683300364182,423087896658414486,1731127826276036460,3609827704694026089,167398391084636938,275925956985233937,3087999509216235972,382487735875920580,1184915083481621649,60626327496696657,606333639128705370,1010052930123880677,1677412055348580525,3221173221583707822,1567491551028742665,652545669491379230,907414015800935430,252211408537486140,420401101227022340,539940226669195278,3160160550687136206,86958526600520820,521811653152822200,157695461158871277,3154274835469080660,195534671861106363,1071911863426372236,429702272914062070,358885390836059351,851621864438576688,2645541561920001366,3757938170912844168,389165945769523380,257090538575594129,2870905937554040742,1124015577123435795,3312445768500081312,1205708993903973320,1188301312259979570,290593061938399201,801392054938395255,1962172648532662038,3622324603596426600,173761894618341606,772364459712542640,1918576948741851208,286308912279227724,1823445651349342260,658785126540177075,4032873232696902488,3173391638730574596,636412711374728271,2144692848540281325,3058493106285282339,25141434615964544,377165121314828160,128385445852662066,1394058530008843290,3359159790471743888,739935831301327017,1661918117584445904,1532773538096968116,3544771112964145440,3338010957499426117,996213649057882104,922073828928670272,359091077873257696,3142409838932869400,2663868566467349055,1441919384652364398,141867582285946798,1439523074544747030,362002158909017375,2068822565779031000,653465340489647064,2260775727027680283,249087162575615482,1366332735417516720,110286883642485216,551498044301538720,1974351319390679952,1222452714271317552,2712791978594118120,1680377634024618465,1010115238016765926,520105340204416426,829043072535398136,469911042410673455,835156840167749870,4834983571323157746,1362245322492230415,3203972977317178234,343365438901353120,1717025052233672160,1945622935582873134,2855329216670068425,439241111430699604,531063748902141605,1237028315782507542,1800313523656653205,196872442234777952,1600022831105201814,3573385705754784630,1131080483695653636,4379577431794680744,731815029580097706,758923707046208004,2070087461957873760,1581848907694388860,324313411557259615,2824024157898335595,232885934254282084,28272073962044710,141376633526644530,1109503725803937736,4005686510025837184,2302129734364124520,456063238168710720,14459341259143467,112474475438362590,1446266676158619300,2818076532963029316,440813617175523420,2654542283839567568,3791261574401116200,750624119627054424,508778035104160887,5020818247498287240,456601000938012057,87334539794019042,374333885816778180,218293580837540532,4699258101320649345,288982656453840291,393801848614206237,2602862214624214460,709974627178669713,438341467812514410,964842204159430318,1592843121834543276,750272202561996336,994614913522576374,4187028223073142675,822626617841217306,1031687904927621711,35061472827339344,1577947297208587920,295200830079242605,3795874628198414310,1344975659773912854,4239919119245035288,1478140247890650663,4008339304986785280,3110654174857370568,3136356990361973623,1937261292844169076,275518148632112674,2826842069604979920,428117675621115672,1993475140074342918,5067049751292737592,3908325890469017976,1887808854257213940,1157194143847340420,213476460395586210,711669712797661700,128685643823223238,1291644388407860190,2625354502705729854,116040753424781150,16659755574827034,166616629663472860,1566643390810359030,2582592896079595536,1102797949392231345,485614746695604384,556074517334986128,1718835292818419370,663612059135241568,3084962989935282444,561431342110567916,3688072440845865496,172847794924780740,2593013467847586660,17169313702674885,1201989398875722450,3999432577449089942,4453154188292853160,3272043116959624056,156455405898364398,1882044967802659353,2228714988800788494,2471950607085058320,3171966057891426404,2069243136608459076,91977343324655544,344954444441674410,7684292089914030,76851698828991180,2305814310801696600,800057713025567484,3341509450444198548,1882942753148193310,2362897351307539872,3455234250032216834,1713726948011061980,1669051452722213565,3553735443886635255,3014792079969317688,3863358821417545584,2169461077506554952,3309031102061671376,227829596871763470,564520093454906253,472434128168290173,880377695514661722,215833487451461372,504270378089829155,442593136804759014,800754026666753398,3317552482482097752,2466397130038381869,645641268629026320,1136378711852796264,809030625393064932,394896902275386468,3470296879606547886,3174516008196598260,292769655858480152,312400699029788334,1641743534004043056,659319283594955619,939938634797072730,3316829045002515648,908496584207176712,4476393929355138616,3277853961958712856,190379105832026205,524444525407972377,37915221680599122,315996147069122350,332818284536482338,3883321908808268850,1073106536109823071,116680472851163592,105787575124032432,793497083417889960,1180683108612315070,3729419235917775162,537086845897147692,942497128170336220,1381104877129220691,380102504212573360,674328884208426116,1939155439073003820,1369993736864700156,1652535626618785317,930826766022139035,214556575585822885,824962889564016242,723520902069529821,904384357870970052,1581896029155291945,641137546064564343,403054822191147141,1311300235901754168,555166740572999316,1851773664822446080,3023392990163304,120949452781755840,1058427880782795600,2485583063145242102,476744020593474780,863872370002297932,1694570329070562924,370237380197067618,344158080117505347,2273462189577306020,3784679989181864616,296009100532365618,1222960840148588271,89805396574802844,1571772714043527450,3045521647183745034,1764399495054565464,710223867624031938,445347454236837768,650858519234267220,4211718944623944444,126733393401095328,2957447730517465920,1330056568620356088,3017228221003931760,1167620080909387032,824111871646320644,360232555206457434,161990503606077624,1215066421292586300,1705951746152445654,4697630355326155722,2882112304125807180,3780405922013023149,351560674774996290,128011747584792552,640131210758268840,1755648993446673576,970709187692938023,2982722659671859875,1638130773312139260,56719854537808798,1701788209431969540,1023725094741615024,2345671756646666200,206389352809218920,2476952431371617760,409698877683544673,15313803665836332,153155357591416200,1914658488139366500,3054913807561749558,1943230551807636420,815278552282963576,585354403618301330,120338861910951285,1031592558552473700,3331724777231639484,941654919355883181,1139885086574117375,1599281822397031347,360592109556975732,319139244758705177,2512886153282524755,1848452731991200680,543171754678858761,187976120193355053,1184919842324080269,755254162779995980,2758974511260616880,1068521521155742350,575365412482095618,2255697707790015042,1826437698022580076,1659363983650080120,3461799333307046496,1220937328285358595,867437749242025264,4508312214351547467,2389146600770664630,1981254003391011220,2557314523739270214,3040463299872670128,1987046135091840120,471194535151959030,40822041847166844,2449598700747023760,1157187266445722764,1058398382612955954,173031740658950725,346102491189967370,1618965771045108255,1099203811648063064,1846730342498736384,2388041692129834920,436180080378366485,308026664715088536,385076708622634770,1369291144490603352,3494533084137636275,1252777116506643336,621726909996885885,2221987925562720357,1244569375863511275,891515156740768620,315477530589754226,1370580860030216850,4755066400344980889,132796748150909163,1032979844017509150,913932881550518598,1065942804140238825,26086589533066488,652238114391105800,1195996564463442390,157168271775572286,3198891203464942832,965347936336417724,691177609101760020,840468377170633640,342619097733597539,494933094674177745,2069848378880794128,725278429595443296,502326794471546940,917686358009189601,1102490946540853792,614460637626323022,1728371837237192034,2134076999379498680,320964936710345082,4815014934802708170,134265833711393626,168569563682560266,1534540476663107430,1670783659591644496,2940850891065423339,1986366638182313670,2989880853673419720,1914099582998226420,2185630419580176114,468967418421058608,5263531020865024263,3913071864821987749,2100856909883885965,496037348598878280,160695182333630585,1285705696382153080,1370395102932008325,3107176886728831760,709920170706407516,80625693387442728,604760518090017660,752331882227531187,1232271926293053360,363370567905955726,409163981885800648,434321626387858827,1778561285778190968,1370837502931689495,3133645111026864147,3189318179470572771,39544300229156288,692102796444094560,799328139544986210,2308512415810085040,984926054472256338,1261666793719777716,334726437217183899,1200492175516816275,4182501487579334172,1561064253230922417,1459756206511183818,444977644134395172,607549175047603020,354520399533756900,2667987104424254343,14645789401189505,732371423678807250,1992173269090084570,3397764748886291504,925356805164363432,424138146781637322,1631791640188139402,5039416855801781235,1710087211246167822,3903950266041208944,465043503403706868,1106456948700789918,1293370064246612070,1532849586040315836,1147461043921617408,139607118241502791,642201844054061088,367473955447934865,511510438207232592,578175915432382524,3351509632351926603,703415115771351072,4606251838929515280,1303727517118731651,1229904177041276514,550090767080447982,2686587421579426834,1150279645671806920,4068229902068271936,2802747928932319808,3262804824259083870,659849030755567002,2538669562001494025,1701395947553249970,3092771692797587115,1634337839710131174,2482156835231084494,4671962552071495800,3554601333217269069,675537647015062972,1244204194994514585,2957084515272041840,1738932303400262535,1383923561563772721,3241555385047419293,3842666424230791032,59366503995630594,3011709779853525,6024091091058630,240990505708834800,9216148316086117,829545798958127370,2298525187977261285,632689931286215090,391686202992514470,1243727593360954947,1768510410914790348,4964213597815024155,1030199151844461402,529344771758962624,542127826806804216,226165543994381661,1278784881660612440,3282278434546846848,2688925218188566410,29574000134675703,1478864621484932850,4642010606237876160,2714985092349658842,1816949537255399995,398410346534601312,208124010408867759,396165021110020420,2769717522024052971,387689552555625932,1537198816105343110,895525499077686855,3600229184389809045,1288863568974137244,519873088632549516,764421259201203128,2980640979580039938,1842582276663758010,1305045932951968195,1596521328961071786,3458483120199893247,526695051427150362,1128588613639846220,842984663893728381,2133147496921049290,759601761425323512,2474971556059090641,4999803596349860925,1332797368835443959,1039417218218220129,558731094446138287,661766101209588711,2084095194974350575,2948150088697828640,3694767908956061791,1011470527997952732,2558642492016047556,1368529534554310260,2690983778570881437,1579689636298566072,735714658851010044,64519341995506572,337155128396284135,1445110862104587090,238264382915483256,2780059487158021320,1163292479349921594,1173936934372437720,2725889167598509160,148618235932060586,1018804941542507469,2341840061514581424,1901545501280531580,2876185263979552491,413280563154037790,1363739119591396655,2349690452196353574,2199619157300656350,542340247168545616,353262371193584094,3989454746498247628,314621409279630097,154436172827591475,1042648928391020568,3381644368376338225,42462322894101906,1698681007895942160,223502359668315940,1117635532335457620,596377054741560519,1147660134939987126,463651286622314556,1120336555804509010,209911856372718947,905064936233442003,83124616804565380,831338146649012200,1401579762392010075,1622100911097051848,1375159049491473546,2709275407141262463,545422280001546696,2627259651400984160,570698342589551670,3634168640111808464,1717802407493125495,3051307965793179225,1271296077238140280,3111976119618876128,2601952662027076758,2451249201895612240,701771397061940968,1206679850535951765,3358592950363018624,2381681833239774008,2197353479415119772,439346779379235085,1946308939722444885,3397473700362362538,850562466463758110,998843351282558388,1493382901104298272,509599070013179320,179622571766155665,1796424025852823850,1760573141986530255,4114179503219607363,3257497334286862515,76873014301242936,878645690125388160,3477733260152580219,621333294624943896,350020540299447410,4423944871531995525,202076089400321892,3268405553100941336,947823974315230416,4200996907588812280,1304106461754674322,792320415577238934,232266526208528768,4472968683309669544,850866728101299975,4472786301510982464,1349999347818678264,1769725045745522604,4852622749927194648,1140985829452822480,280317679231090227,1568008632502839192,605659403743136484,68060260030838475,544542057784223000,931391774251095876,2422592242213812858,1334640248676645225,677819232289170153,3595514865012358920,2164858783354346888,1461153737339563690,1524668289549850224,1520656205391026544,1077912082357513380,1188021941868542406,4047655731963467144,1371934546878366036,474808316771819439,2600691960396223175,3320015271775655526,384682429474573212,295534338068240456,1108375662333167490,68597633210346030,326345055838816292,1479942659545970109,1503204661714483755,588080199310316482,2194329987787907225,1088901442567334067,2076094728000332664,3487072528978212600,621692809543382505,33394678001464860,1335933899860436640,628435788024419670,348623669185959405,2227507255094195852,120813700233253245,3616841804525361918,5210717744107951587,1359842456026770012,1115004849674142255,661748020928403040,442961203436751186,1589855651009800164,1358023496400277728,3289117825931787855,37217505935288560,558323859061404240,341606400445876008,2562329146581214860,53451214150762422,534570786206822700,494611004729569184,330529793424542516,1416711639729916440,476270051930729151,516137082486617635,2460737911650042672,125884842385222635,3776959356327922050,3885878104896917346,441649303895322475,1657617899859883818,668459980440322116,1225487245954723260,164560224652531590,548594193501655500,940312056492457056,388365729305115260,2180574195983895222,1789192016620275885,4455932310630353655,356989444561190856,854140307429025681,2910237337385032746,3059944754848737948,708015726145928220,2679690879804346045,494442163612473726,157807853818283592,1446413478867705464,591433666259889060,1316609509879751211,518050645747223956,702789587622806436,1206141075860686861,2023200894136133040,752939649635853696,279924960295029505,3359466959812278060,950520355980091176,2316895605356936220,932293773925336791,186111659499371595,78286024480425909,111849405356379030,1018453586482647510,434350712848635948,1030267898817008733,1933273596334991475,1672269406822676704,1568383652625962790,175101328997714682,4783435435040523606,3052901314300278532,183679922169315282,1233776582882355420,273329939223735160,2050198443839742300,2928736538746408280,4267961124512356005,2417008748994606780,1098161828993908434,2428921405675775624,1155332041927335066,1125562093833183068,1113970258757936610,146718292141712394,3423800429827926540,30096598775995472,85999665218940480,1290135727533912000,23066166409556151,1845494617862513520,3786826251304740648,4093142506768875159,1074839661564329940,1932559509744716016,2906980422509669805,930883458360032739,90010302410090470,450100577627519750,218973619784058921,2835263199860986008,1454560574668993185,565140362539877541,1291660709242689405,211090087335747536,274563481191666531,1484553123155075490,1040279146840962704,1817090636610144240,578990498294913892,1111326932732419972,2626099727497380624,1098508831067711675,2872708274118350120,3163972847237164530,742024852643260372,164952573367676110,2639528478270366240,703463377891198575,2528819002745019095,458009090523858978,300349963668219494,2202132974818115328,4191677998081624680,2805911679280913202,764727262493949978,570042934180619328,1385638505575919042,554110634954906660,473538820866200568,2807359384314558672,1759843597825256300,817217738332247448,3668181705459382095,1174365198986187324,229830172326858162,4102004242629157329,1290030938263544305,982216937083566960,2453786152577593852,4230859868219494111,2567089473379572615,1739758597417464432,661518158580782130,935962045645028820,495583192039825481,295731107691957968,1109112092311552020,14175090902879060,212649451512807540,93715853939753937,322000881166868277,574909585424784980,1859796016505720640,660854873989814277,713017826000109302,2437545573126351225,4527991012844533448,595300079104973975,4024548796001189631,1243402473557193798,1573460196100754087,2800430021865459543,2437456071370325440,5243752046488811868,2250167719931037864,1739843431043215190,2390535553744768410,2290296541467392640,2781332340325279804,1647539320473486852,279814021964581488,2654349481368983136,469300007573014450,2978195736638953854,205056127800470842,1171876266259398640,3234150536584054164,2410169364172827480,544516728616101742,4573616796208428804,721172971732679680,207840384275982706,1358614236307131990,2885459321033772553,2086711783089529760,4214569877378850078,1798530820457078005,508790836379814625,584271434054677176,1125525681501980470,3577473525985125489,1871825616342092796,606181188448083060,1497805189565141151,3852069843592364976,3996569530409754494,1304977654150770753,639991301018272380,2225056385177245352,2152381218447567506,3604542115276528848,880409416424406474,71376381600187435,665271956345273151,1326488884646782668,1553307209703103085,2897933206061287992,1054918668815494850,2254491633860008578,1125293560267390605,71522156154165144,238432947010487120,3437335492296576030,771352738112831335,303795879373608064,2239467073598938992,155572858958712839,2000438494507660050,2181192144869524014,2145396298640407780,404552476230519486,1955531440440010188,955219355602023450,703846332257128712,2930021224599377475,929100521560343184,607229795934584042,3329062006081933620,1170467811425200568,804273937254874299,1590128266149292944,377539973001610107,136930817364466880,1369455873095633280,4232255980551892326,3207660795494951841,918795538994259150,1234642705679136425,4242821724445253173,4238296743174323517,3246978865027610421,1002829745881185350,390492745638333210,867855184529620680,610464014285219862,510775839726532173,809186047216606884,526468225699872050,431235367592304813,581529165122184392,436763105789599366,318004268423076159,349863715214078375,77653303148702183,154400171379025617,898803013535092392,1520792062934896476,90512737404401040,282740319658774803,1687507709787133490,2098289052940714920,529606045968829048,707872751572069890,1146532549193627421,784613480594099208,557303845548805506,5506543057271241834,511250630464803095,894732564980626078,223184338394386698,2869821549872963460,361273820029556575,198405103047951510,3317781252072332547,2845178315350317525,548472984140601891,1279408975636960664,3167254388484888840,1201273895479784625,783972569614714296,706117270108936248,4423699197065206824,1612416781893223170,1528070932128756176,225670917156055506,1024182312070903656,63284924063244472,1898751648965763600,169791773342342260,3820725184725628650,1493782890908113386,4248532849374874487,1788437219190018380,195512633128413162,1763850337113689585,403253740188972405,1131108043493830032,327676452602877820,151284313323979935,2100308424504861792,124465031277134268,1858248638702023899,2263656117913528980,30230883171841417,1511706302945495150,2084771082984605952,1448031373559854888,766109520389141860,341704385060549661,379712250808858810,83400516915883244,2085236462425785900,2899996966551370210,386259474073177738,527843114360257110,1717968932412919388,1074274060207209136,360414796868061240,2359957961746463775,2340744985595615473,1688526414308086200,230754415709816829,3419681809135339320,4625955673004113272,1001686031293832128,4376842274346602319,4269237315998163579,4099939810574401305,994303466447301006,3625702198073619156,1590625051403971932,425400589239753936,816283831247842050,1510844423672937944,60092364652299910,360592772175985860,3446324399379827718,661009811600740665,633098610255580026,236147229226010745,2361724904762860950,112207610400296592,1482227931959538765,1087953936563378382,2071577307823573530,3363008469391567458,4761050691995505560,591690586465401090,3112734158880535574,235527706383418695,942211527716624580,931462790034094023,2360159352168747080,2171666333095416153,2105765136173580284,466053338326476572,1773333209293052556,179464322987405310,1794834940934095860,1898645930184714912,1025443518337282917,2172207918425441400,790774824357373080,177108795522271898,1024160231527976108,252067020577641468,1260469654044108660,1269639582677163990,3627035961470409744,374210118447551877,617498363788858157,2525105579314521585,9659746016443990,869469904653380460,2687279853470458296,415536326033792210,1120125197434361334,4849035887136566880,774167472058489014,175216580735661024,1227510493113327585,1126116642705124058,2923568348774209950,1528885375642975563,3496449019695153952,5264676953911679958,1023387710358745242,1330613708849731380,34731208324593622,173674548066187590,474236863757517154,645950287988908042,654197459631154875,763318727556280984,1290536440505260788,477880587719035935,153026288825890329,3060851734971375300,187528940550925296,1875489100800863840,2120675448808582392,491115073386274248,2978820791246915275,1341409922978152885,1385550810129133962,824857487287687122,440247698650267584,2432004287881038120,3570676745295222094,121520175815453508,3645993159159360840,1019898613609382472,74834489388465280,187106124471827520,3026682068880809670,3210702886727932347,804688438204643070,674660131574674740,2445888108803751143,656009327569918290,567829966622337675,3014084746800016458,3537028786250933010,193563694248022637,139748116083367364,349407419766575010,325596027092859715,87120050086179525,1424330889412326498,1416663672904163883,1991072461734415073,2157853878761511294,3823959128267257840,1168344594864406872,356173463459296008,768456462693661221,24019838854920542,1921791138870885600,3491316520516713203,4364846860817188632,3031476876323805648,1231693981438369610,890989593787411490,55078308955315155,330504923619071070,2333751041893932585,1777417930408240248,1898727107843268690,1871619602778848706,2607599988030785565,397978615618434858,502451093088184194,1116676402807642200,2995578233114539584,1087131648242960178,1752225640639044330,2606939281184591240,79727125679602275,1291439026942019304,2054899752468068304,244892357322514625,540798742588400709,1913977346791051140,53912996725332330,449322577589027250,1311712871517899885,311371261031057288,993845831853274785,1173840175243976608,1747085823153381546,280865651775645969,1872635974865585340,2295645216058830080,65571357613969773,72864778017029630,549916914081597642,558971341153384686,1231622978501379850,551683376083977569,2512095510528695916,2902503540843608336,3087906045373170315,1172991381354725760,381216585556658241,1266354476299522574,2963613488767681515,187527291238206097,2398832752563303840,1024700471608853988,9956209993789798,896153657330388420,2146080960721537938,2316512050300122450,189260489711482728,630934992819756240,5411908341127514412,1069871390590597028,362208042720499410,1706591901379297269,1159421446519078332,391128216705064584,4400657367435464130,417879724490066485,345471301566012108,1299671470482431025,43232573205542638,2161856973716024100,2443915754957025650,2479538825541554826,2374428597037517856,3284912672961430944,1347833592205767690,688383079449831600,683472202663007142,2694304816098619256,1185658450809439635,1657195282968471584,2127909642446668010,2401480188320787360,2585416522361814152,94700297312460225,1578504804472608750,596366492744529520,805959295910224588,93973424297444841,2694480318994648203,2160629873536475910,2391124995039909150,298209254985223411,2936777467126011446,3160191566336713758,614868903475051190,4598915712393309030,4988285099444144088,1866088518772738212,177857814773572939,496386124841429316,4280249504610644715,534119784498769822,421242378263991432,3705812061714144513,806511939335890104,366827242402065060,1162447092196917486,260924627827460541,2609521055492555610,518952495166730915,436856454908262320,4369024493948389920,2927788718176754064,342096074622444760,2138325525461817750,2540851472460066780,3430499660080925202,1200073002188373510,437464748238478946,1299648689988527345,233079224378248560,1456898409967152100,2745012241690849824,435134336024076330,741786733003128027,1632124138993897245,2671818279968436606,1190010192899585784,649310279630990052,3512640533928528024,1063102905253235760,1184758407528577448,3246793098734079312,1583918567538769136,346075341825293563,2472226516818615750,1317408448352966313,3175629303775965672,285323972453528352,972874388671458462,204087166501190620,1129541671106035029,2725252357702008025,893285154605026578,1203004673681837616,867829520794765980,1420196615706703554,1446459104232423270,2836899767988488592,2296641080671969328,585101112330732240,49273939311217477,3449537775611613910,2487245973599636334,276392697542812748,921557261038715100,4425758281061606928,3346959070827737604,3453355121749729665,1251456754325241303,1500356771874634400,2936488670898300644,2259059643571780014,1936485287360575344,645357944336619237,2573507956158320580,1868868132292924551,2508695114199422418,612917692388954424,962427131735711624,1744187261973463110,1615228332695613810,1275635907727720,11162983879482050,47846372575270500,319009238767450000,2721755661464501874,3509015053882073664,507527636284418042,1648799462083652073,646445466073583580,5810574431388031488,4449415816381356261,2675626235221944915,528883018585986642,1876451579098797640,1458838250942878629,326815047386836864,259510411278582600,2270953769106692250,62624093516954200,626306472460253200,406449843224479191,538880473634208876,1796456185937027880,159648867444471945,2409201569455926368,2943744755194967276,1592299677502505010,4744866615978558336,497447218932823725,1734534608727586065,685906033906349415,2393378550020224767,1245967478395419885,4350729071495631240,886907510391098463,725349221739336996,1152885908207566995,3000929394365320325,492516430535290635,1721771677734593880,199717593486554225,405359101101094968,1013503623829624780,1574292190039868205,331934971609365444,553282735869518660,1697270696278246880,296674928861447610,1478164526101211680,549003997682702686,883477070507990988,3122094303179108172,884408726421805140,1572581973813993090,132588626812991772,1547028758880099460,260505747498950031,26850305604534910,483355931998758300,4296945463137825600,510587577913181448,1606455596267590776,114584200964205318,495564739675113805,3223295111766783208,505377246664290048,3064872848809671135,1920601011139762329,987404980079086590,109117939354801386,3082950278065384909,2994219589026300912,3036841246005403277,3891108439254986820,3753412601752386522,263627343749174762,94298695226723304,943085209695035760,538286741822525020,1372551794960522112,1238303784258817182,1092001936144141510,2062559786565219741,2020260688023273390,108342980947868455,1294958969333273931,1620936913027009488,843670681194834228,204155234626944620,2949770121637901304,852902323747416410,1755868934685328460,500558296482453690,2183014953575173260,1428601457637429924,2117722956842893755,1600340060048292460,3541174709680911672,55243405337402790,1657474564453106220,151112742155013928,1642661353314648432,377634475070271876,1455362896813818275,1491548264179616010,2592913527095787336,3065787171324731105,919701002037428976,223409983233356415,1489554710721998460,2088349995633235524,2583325603942200916,2877386243569615235,2100168794080173960,80383026155470256,803913782042654240,96017403478879542,2880821355091547340,668857541971351455,534321337705146018,164452917665910594,1644699972100292940,247682290582030464,2054674534202872860,4999055191746247629,2545849929175393968,563945338802538808,2412601303265061264,833020428251703870,2166368547010345784,176913682328333476,1607522126952122199,994355977215376647,39113154242892425,2738204873726497350,3814179696464258310,4134950785634080527,6911963629298871,553014446111498800,250472102083825671,2862835183716546960,2403560522773605880,1145142650247391206,538388007594657225,549017552740151656,486033668012316432,607605065205075540,343525204273431594,3649176644198756940,352898905596007014,4681310296125625443,2429507170371436516,166419045758025687,2108056831616525760,230901774210850775,339318723297354801,219936510186641390,1772057358834513092,3916011173705819040,297093754965724791,3089703910480085682,296177419548439830,833979594793894180,1415005198468274440,2012700729777035400,3809100817228995477,1097883753820484196,515070754785857766,1097054385054174670,2025461663743614066,833238272916703503,146809764418954898,763220842785778430,1476006887329196670,134983011196689249,169780164231856120,2377168152814124880,633545134134633690,2386840305046923030,86411747266941564,864206824963967160,2225936626596418572,1494206029311574167,1856709702325566425,2103529707329034375,2042952115266436896,3466123290753507126,2027518170600905336,4113690457058409915,3704881422104760168,1953509745700821624,3718810513762602408,243910564441510267,348479658957506350,754619507072742060,4544054070688646752,2430971763032872896,760081714693949904,1453137582072930775,2144095017002635056,374037114442332672,3325117608608522240,1186530252954396108,1315855958872708620,5761136291038302573,1384432560364076199,3272728022462474460,1813378872522900411,514674859132178475,738267825023035386,3118154054970581640,4766426488604489080,55640331777823548,973806244900268150,629729238373742754,234243025103724462,3123562428969399760,5404681689436027035,459231479993623560,2296394146223865880,3624039836396373408,1127357394986972484,2433937412124321908,1026191370275951550,3490262436038949684,5142667754799694575,845640844322772092,1296740807549563290,4262289295796887705,941132165516957239,168854281114427712,1899806349501448560,376334949990068757,592621400834753205,630617832856704714,2783854565554268424,1354925421018705720,3324334128260534424,2295553181136473250,2572411163556690075,1524922711496141427,1338231669852474417,4372232490389810592,1980537101069310315,1701601583884446472,555572858828947404,443708311684465828,3803605424170197360,1119510578013046335,3334738863485891880,760603857515807568,3452010065617885164,1343745797627807652,2498420454590334650,707252989788334362,658016170633117425,1421239325345558467,238604404649361354,1988574462644690750,1976710370532842295,1846560129926751729,1629244760601972897,3378108327364041992,535015427643702405,1366271928338457048,2849330794578538810,771158187815689752,1604410085595488715,236761895231750630,1014798072905778420,545402600451547515,1818195398871662550,717407213465463273,530058991342573220,1981587182528282679,1867692200423889249,1211303782595457315,1283935376240820837,290058707597935680,1202508013240530260,1229311996919719293,640399008232640232,1608562414822112012,29605380942982880,2368673508984061440,2392991299413207264,1646255634539832740,5042248232732327136,2808578244533348205,3204938063500834374,5254842371798949318,4095930737413319008,2751326206311925386,2358813875206363920,3980753533989101408,1431468665123386144,743266177959466035,3351831760121466993,496277012372278540,2297432630163532092,411931426068599926,720884705193095892,2674655791654961415,47944246322730270,319661059063181480,1323631019992703670,646714017097788021,2788380483099923682,2581274026575483120,449543599672954287,3448327055486788944,511432775303090478,2776883111163377945,1504934122278378330,147666887811740349,1133685070242206272,492031828671081324,1067119184482029861,189092539762913260,4999164882608203434,1272147954675817896,466276872534947204,1991113317933611892,1206328800870979140,686902359340225324,93672150588209215,1342553838688861185,11882638032256242,237677068698611400,519995231636588643,3642967610720310173,3145397288930556174,1685542513273229763,1075073586540359160,100357520414421056,250919450324043360,3514411368770045502,2021927020931687896,2228669542691467110,737703465730598750,342575205908835435,635528861407327080,375274960695136539,3489452127682293930,1840194498031753176,3499929091852036452,1905670178025621584,382319843255109855,379627172459817820,2513569151011994937,566743017211326990,2781513382498372302,3694927364153199888,1147172892948266355,1813635659459113539,53841883654978892,403855346836765890,32810761005838476,218760731228904400,2734788205059423000,945707456457563544,1520771436908809708,896944454084610090,3221092546474073460,3459575150326358388,2791274152434162612,5694553955597668155,1439640517089342335,974283610194206850,3031350306549989930,21471381051986863,1717885628526521040,532864461655587196,1321550453909157010,4512912904586987976,536893852509566972,4686930785152769797,5201101111236548136,1821050398784960980,521494896030222028,1534420598272511517,2875392524660611053,150589229680750896,484898790189132630,1223748993070264527,91037504144245344,606978510413036160,1553761884838296474,2670362296420329770,452105365503158175,1456198261922681616,580834573872158876,959299000062762024,786210093069633910,2833259712246329225,1697221968999376356,1229438239391779632,119106245114840916,595591829225727300,5750132616561809034,329349536866131953,2400293600746179912,613282277766237644,427560267435128670,156112502147672652,2341925710771643820,1069394550436902670,5044511731953191688,1446065276695854570,3107132912766372312,514031321441218245,1687858017440379876,1399327852562151744,400814544277397310,1273804952391020750,900253732694501649,1516410702939142290,2009920981266173232,651791745331982620,893049324452102634,3755270674989663408,124087575204666202,5095110359977800867,2097863058939383120,5377936885099649811,4027936490715215862,3182022538510897404,1438501582965914145,743753437493736780,2266773914028804945,2888679415155148872,778374045735234831,1325686461205991381,3256588552253562960,135532570539935664,677731629789841680,1622737025654022957,290710127118398319,610482283876797510,14030077499848958,491102532206768370,229184238320469063,1782724897542516410,3626368960896656205,446342924858079021,3241182555136982976,2677070557669307820,2416076336215443788,1255022751033007580,740716482997100028,996763075258872888,2216244698681021091,2159679740196859845,1288850254005478400,1640226890382852927,406742993418405168,4067842118241898080,2754918261639326888,515326944326234625,572643505638369750,307136042776773716,1807287325735279140,453660013824453670,1412744688876364590,643069347430104498,3026160639114078348,1195339509249556516,2214319858525820496,112088228134152240,3362987287513185120,1441407719120841408,2672773020828292524,1540884349365218632,1842858281988276300,536936602307034528,3101537604667185095,96453984937312623,571971139917916546,145262892372602070,761579794849449648,1366065869686035285,116913535763658046,668144921847836880,1874420799600795660,407820347051351752,6816841270492884,204525917434768920,3068198960354170200,24836365151950050,620971900813950750,2812623427785404435,944543194617515130,1589739712052189298,4331302136762800680,3279693877484086455,3087401792605805941,1987671947366806872,3558114934662646872,2450183879195475200,558888775873128524,110699325862687512,2214210151384599840,288877607895344115,501950017124631810,312322681857295206,2006206545212425040,4876788149045620920,5207194786874998672,2678326815588687515,1266950536727068755,1104653586618363296,18981211455916554,1328818905924220620,4290033807559844080,4757815937010106248,2986619634534584916,1253297213112379554,269036704634135994,448439744636454150,1582499656119546792,548617045922746805,99971849785070178,2999457980726851260,5452355135192934780,1207466660763714048,3494052315629180496,2942860661205936448,805527229004254215,1916677766625786795,748633302059599731,897628817233997862,1183262682352193616,532449629886819645,1095063823970988270,30639090480628188,1225687111246584480,667401244063808136,2424965589080522768,1800817178666718720,810039006686423196,2605828631568977964,3309966840784426857,1575092107939253310,5182685206393203585,293064708158949754,790559348251634592,3658851569353327044,2523977595166654896,793956498570571725,883484995094027984,631703979432467444,1483594492907917488,136424654099898638,2728767660149794600,6003917222546369583,4640105743532265447,2205685887312115614,767269212952828275,3536126360809793905,2096755759111812808,4545079524999103368,1858570412187035214,82596856568708083,354022125625107450,2973355727903568318,1468596642186490911,524792996009536008,2278839349987959596,1310418969286493940,387957431277754767,5474477107993119813,602443413844631446,1630705468767154812,3836771689627640310,909470674994738308,1306402648786401606,121178559962671921,4211033289192518344,1860564405835577340,4840945190560610712,4633798561386017912,2451206246495906448,2887429037913968688,4183299847055091780,3727612471927814106,3138848001866775654,857804771674571918,1377223969270974144,698262386080915620,299444960722226875,4192650215517986250,2988970729973312136,1585695474164414979,2332801076266773360,2729377404828445050,2144052728535155160,1507626525487241718,602993917500108292,1336865309771187600,2451471467076498636,5059143372686870128,1119442109311801144,99768840102449904,2245023999413951400,2595339649092260274,1610056184726160096,4464039373807000218,1326385929937640019,1559097600527997180,3450448768668438789,1976037459029177125,513117617368078335,948339395155820103,2456483487280988220,5887457860659783615,2442702647951278181,48848035485789415,488529288396899850,471166883777197895,2019488898093798930,4822952879481090957,3776168304442347513,2873315515629334955,1900980288009749520,1550812212532286895,3119322045174845742,21736040215651515,1521675125323939950,427643321946096060,760207111276170066,1422049417010658420,327692560881355305,3224793406667900184,584456904772400825,2306506255949372638,1074472434419238336,3820163237292887793,1260554156981994422,574850188742439870,268377948145969223,5529927136086233829,1876385749555190898,225840734766060035,3162086432369434150,1130517200092114494,2859209963816760495,1248238845853455414,95455790232468090,1527445303631386400,1585543404879176778,2258746777994438445,1870839605449043060,865681420811778135,859760326824768390,2687575986827246815,4314799689269192712,3343297523358253374,88740439939274988,3549972146547583200,872455161651268914,143471535824397328,313315108694656884,4700195923454370540,382756837879989535,1851581993774224875,1718880594286976295,761588248749049942,699303246566731910,113550843581571825,1514162354966718600,2282547730207015145,2958404012907637428,346444238123863804,696195095606176820,1068680390154070968,101191582169123625,1278645411732293548,1281703458165868026,589048774567411150,3885219528908236584,77283238344836301,257636483717587770,1162728675300082961,826586407281655980,6091549459115900211,2661348267330203765,2831425591139035794,1121643610517771536,63302714637478840,633090236831945040,274893349428080049,669032765595477861,1199595976823066952,788094270384539020,1729449158288318972,324092044799704704,1398885474362478684,1251448087440528545,2107598735245858575,363658434133511776,3636946498724136640,1012731872944433427,4796018742281939376,1325562030890309220,2025924589643262384,899161543434648442,1318745557560484688,4153623950000455776,1322327905388229340,1055213416616805004,2895617438638894683,4641973727638919525,2649253105115042909,1241854601921436900,2925186102568485558,1881315446778825312,4797357772598956998,3252252898599586147,2849947395183107880,578423406769782078,1773128160378939168,260470096243902402,4248619491283822011,2526159786128911950,1098680077535351586,439831890909275904,447780678819944724,757427791526541195,123107565839723160,3746256859467910221,2398569950326638695,2482703310577199808,4462970886870066648,986849063311490055,400243579080640293,4685993371112750595,994973357879939307,4775578776968541138,430238377274852985,857847922019652396,3701875223604083799,2465868512350379514,4379199621209658175,2722898685551850360,4275334847541013896,464821397332470259,2793047243984773632,943916155127086556,536051258595808930,479229212614258221,1215878549693803864,4497039853123752144,341813864604365433,1767254213549214420,928337268505559952,455241963641693742,1279428676212736287,3456197691108246688,397574283637820790,5645562088059103077,6193440661459301874,4187313903262157241,2772375757515912898,2814438115266479550,3503864505491806176,815140085036847703,932044523804673394,468795057271944108,496110262682317430,420522857065475766,2084899138718637,125106343947083220,1042656166075371500,4811740206208688970,3494391681412396962,692835132926425758,635593997215861713,125005074584707794,1875261829768282350,5478975960132613488,4981148998009213437,1275666266264845438,408894163502871585,1063016135709671295,3369942140267785621,3076549838111712660,4985954617540279104,3841580245944100146,511711591005719475,2586819117317974984,3895905832356187062,254697349742439444,4585862460196907144,905109096752555730,4148356647829374561,2576858850695265168,3768872818244074632,684418484333083635,537700095119693445,2357386972730928305,1019268124718385264,189818914120987829,2481154367794677080,383623254145541445,2192349598445220440,4579594707334046952,1028315572636486554,441266225359970013,1633320276508991040,3193678419353913630,513380995877629481,63554036893499694,2224611074919559410,3338888826223129680,602155804577215905,4827486945890181792,2093031581481854480,4055472886542704730,2200744406183404725,1318897848765196476,3357787836777563798,5246745503599533798,210615748429200244,6311767012799720490,4832671896209956239,4063424256396273951,367136563306479652,430251151425599046,428407071471030650,769767725101615615,1202924940526751436,3801787564588488102,68467253697631096,770332598599999050,610870137607878492,482412832821225296,2010881087501474628,309592437101740893,2628056246650612840,2354192890582929210,4379401854231634818,1931446963966328586,312502443138764541,3040749196139628495,5066997807577602258,4915159019494926363,1370451448119256626,1545557578470800901,667565767692219555,337319507514469197,2520641145078774102,679123968021770655,902077383115202654,2265344448018023840,66198522493678260,1191690786745168920,3716475049637707662,2778147266406287070,2488553157002623140,5236011562063104846,1243141086307068732,365758861997645094,527087894166407900,1837634045026298265,4347504437252585886,2393496116670523928,340224466703467476,580249358243127692,789243744951735200,501599889642407418,260582400896630234,488499420881082431,3249480721834538940,1310469251632073955,396745225205488164,3086099754655207080,515705757625742466,2453072972102617488,1930053097383480960,293555618929940299,989126749508392602,1570331389279234428,393092400470975045,1989205180622523875,889969308467271030,1883582266232660508,2037810782724486162,3444992126154201576,515325219233899840,3865318979445029280,625672003161431064,149834201787963774,335402992253441144,1257884795785107150,1968210202479159645,1548764540665719384,1041902751247506048,1025433185025190164,881252053711999830,799292634120591840,731966978953432136,2485245652242421884,1807234233987993525,3240317259220448610,119878888857356810,1798359856938905850,1315130141288834064,454700603868430732,296863976553588030,1079419570268200576,2563345714085232828,31233354112552923,1561820937005578350,288832185736221520,53210917353897132,4257290987322034240,2514555191318211993,283728419562880350,2837562475145047500,2372784443271018490,3433074829988734014,4542028617130991714,313812330516318381,673338342869692110,3701919177376585774,643358355330979258,2648621131612368066,1647462043000213895,1121405031836346325,793480113614201433,2542156082743843062,4123122098607301530,2889830442401907642,4446681031539214240,1174435668487282482,570837760123372218,964442356543206188,1119986770334474636,626856050492682585,1753420263305390202,1280391002491177248,895959352657059870,2964010976575041488,1057325698399695375,177483981487082232,529504795890438561,2744313560192823712,2930750913722966460,861818041196135200,301237581455119966,1003546783812097008,2249064147873037986,1094182221235462257,179641456565144850,933317516841197465,3547320769593143232,163959355353670902,432145797429951652,126049523505306325,1512742216310296740,770670818781639862,2345086291143850760,82889872286412822,233442956330779410,910001943621852566,2208553187135840736,4988477933706503528,4287297314191288752,2971200146025697080,1207859898369813000,591365993919437408,924529788118786059,2432003242106441452,2638749721050442230,1434221421223056585,4983198400573750112,4718671026725677824,2257616788755413949,1106396967028239345,607432770842786775,501541811497778367,106617895668009295,853026452314675640,5643772593593192880,1263829843647731234,3047200909490542230,384113360359376196,1087432071494085220,3461076954034642590,508219027730425926,1694228754068496180,4539628186679830993,114618058925121654,4585169700193283600,50033496799234692,166794593414090760,1672957848140494958,985167213668048036,1276272178812100860,1327703429385147768,3221663690073949456,2507122676543033616,2468759717523126528,1794593839949676645,2354783884139564406,3297892126203194527,1680828327956335888,5006876814617141160,3752384547870564830,2469785562982152807,1999426719935660994,1799820474946361864,823811241774837992,2198852955262385835,2226203661454202736,1906138933824149973,5014411119693636528,2161810034941649776,392412834478286885,3093350559923208375,3434807890393490028,1422267852264709818,3988197756598442742,199683578450333895,3384064283334416976,1249199441360967978,2053644604371819944,235156214608178622,2754640387247477130,580725661243392776,253383233046431516,362011273978928280,35125687487282065,351291053781847750,5155381380991791936,4946452986272346472,1221852181340350226,370521154540775214,354417767188743525,2783706833281276818,1002617800983960876,3301205178582520636,1229615483247774894,2039757511854705300,223657792788074043,110493501373484948,828781824863419110,1217061162066791998,1702107047031909950,1594583376903587376,1437628965400190145,17655347845943442,176570635552894980,1765877931378783000,3150423141929610516,1323018995300106354,49016898331948021,1470649801767545370,1178692704070761660,1139329854605260512,4936948418345708359,1163278581269967546,381972574751159484,636682776800859900,4291230763783870368,3007625220328058048,650759993668050780,940178142345295380,2648261001325924860,288875222863021074,1946321476134107736,2463897239296866549,578348117392243289,73801417697156970,738085787685830820,900944418138893013,860161153429420206,1526133539620965969,228242470764011675,913058439721549620,243219350352869602,541923916297097402,2741026541809661295,3067277210142531995,58056874608260048,2322500149045726080,160420432587768544,1604359846155453760,1219190930928492075,459122818991678165,264964813007474372,972682138051355982,3754344568767148076,943724828293286355,2083709629577647536,3523894436346189368,684631894901991228,274179259477315941,783445199837943100,2779827435112674285,1008640516441662390,1721107452260842662,5471058539829820648,1706221665309794475,4719482490896476578,1702897296914624841,1343454639083424432,1158215047154617584,22093276383814370,220954150119263820,2209755370120671800,800262676297923804,3998656810385388792,1987345433763423540,119962025916818907,1907481683195956668,3883954263517693908,2102679809466475185,4015432687091515560,1361804557035293736,1202962790679573972,343666557839190654,3800794033888067727,4244698067464477525,1935340362400649778,2377372288873574724,1394302206060801954,101963802308945646,591922612460704210,258072553129792008,2580974988213917520,5950616202973054944,383753223425826788,470701270018466010,1449187468120236792,2541904318146275348,59804254154190150,598100321725318500,272455132528712255,3307076670999768534,3520174154475650952,262663411307948160,2101510240297067520,1083048355848142410,1421859746783750304,3275663390501032140,213155974218084824,1865294850912438190,489439219144939815,4347157627679594144,2500865820062382983,2685880989518554152,931276610855164485,3705146076841780140,978501967900853550,3233949055580576112,930868533809747277,1799766259737851718,4933646448818659290,1602968253287619084,3399581132856532575,883503609384789510,40675057743742272,1627159225890700800,3489327185837586636,31099205005281816,155511018777773880,4665780388718607600,493359107813706175,1300839023882055465,3796038855127306899,584299346407759595,172266950797238484,2297114050705047200,690681899775163789,1091675689621287669,14360163438686460,35903867722301850,2154439616797935000,6135247823445397548,270853161023404033,526333783361489211,1538555305198033359,2035342113286707680,722666534282599758,2107843389291324354,1905166376089055132,1979671578715865640,319840418727987325,1719147656469429372,4768197243927535887,517365141006406846,3620729366190963981,381783641358011925,1585954539265225185,2748657837084078096,280416035736077256,673607454812891503,535869024105489735,2302343687959795872,374107013860542868,872907275735386335,1446192550015380918,2011210922853437085,190394041274694676,1428092637210714330,3468012281695676358,828694714372090980,1226356411890837720,890338409021680032,200013756394826672,1000164920402764560,3740093227319318148,396251546908161340,2197285545707682885,879207075108415192,42045267352649255,252295845609843270,332960157618344565,1139470325472718989,1179973254601473240,29053790896129088,290565818143176320,6502838854416111945,3257800842711621235,4701599118137737102,990094096189564401,4786910346134187761,524127755853534190,428334531505241199,5033167456252225160,3997124641657680894,276505726469869890,4424516287923698400,2063782463559450305,1414788312425408325,1970127514497417912,716415064891382504,2625939552185396880,6417440731223990496,2732793000588137465,2754013005755683032,2063157264169951848,35546497015322935,3199491590342404590,3137160417793871440,418561900897762456,4203551782361048040,1166806402372759365,5078881557205443657,3104768797915247514,145013904453989847,3867408170123942480,2197521913051395150,5127019272553075065,2192767473615696009,5721605467135988184,1114670986513679754,1774702127467761340,354899304528485832,3154962746953516160,835768954839954105,2933288705555177895,8603558470749830,36875925405207420,245863049766121200,1983933933490478028,5032722214797561072,914638278164615070,1030007320513019448,2244440441951793126,2633933505985378479,725260009707337989,5830409092409634105,4247323359669145518,195531544490004916,487198562622139434,934236485297646156,797622632970719490,2735448672695199354,305837830130037624,60328774027320974,4826763668063018080,470641988137450320,696698567656683102,2345349836966121603,401629341872749971,2394367563079100385,3366097342151521390,1196330635311079914,1562353898400119775,920909745430139390,742885384545361692,190241645730191875,1141558992102833250,256247411376131970,2729009435323257235,1545724878826338555,744761235344123850,72510890296244184,725178192357011760,2047802286022723044,3285883991852524104,2504427428154332070,1149205318787877318,4152697605353707753,85811710403053212,429099532409705940,1828194566767441575,811160530012717336,555010887395793114,3549169950126127731,2083881318905556600,3553571012491462635,1588033803100539630,3054061653242740427,4071248471648144970,916513263235682502,106916829525586320,1603905497889400080,186143818363296379,2708889672269699688,1649528590380706575,2148428597249972760,3154742785598416060,409309845186337536,2025755375267805975,1452830283041259260,2043566901665132310,1544682851533792863,1684059355530044948,1343792178135299697,1774826511182820544,25585482115895790,597051500016292860,688266797384543862,2044247027367771435,396675491638650945,1098291214972788100,2651212241895156545,264720227025691938,2340016254687748788,2037128719491617313,1130401292470494360,6067816690930878627,91617797487455693,885950343980993385,1468891506778069480,5763318947108255320,2205029085384403428,3038400805136756211,418613539261340038,3423321207060814395,3628130314316538240,488819796412695690,1666166570447596959,805633364927914505,526882716903540144,2887060164549058275,4163151648215607887,246938212009545354,2469617125838633340,3665722095509085703,221352490649472740,4427471041349540880,703946405615074218,1116264929646709436,795954549633459222,1108115466649289500,4936206237243846291,1499187793430746695,247221860475622746,2119246035241880520,1705516906967785260,996533097148872322,3218599843771041192,1235683924004535453,1697480479030938096,3632495690934803190,247077810159124668,988072993928833354,2457959207056167160,2800320595868372508,1305337007925528780,692264673570844126,493806794848646766,730770248347950693,630726980966541507,4329887888116900620,249307483866772784,266787348194773421,882782215324554162,1405503081074502710,1733533057334282225,3482978784757160514,1562979077546053686,36722343618140697,979355467363988880,1444715432708572065,1077959321290608024,4354138528664667036,1940303196710985232,3801437171849948743,1377005254697887110,525929001345612712,3944841797305865460,2515749619733512464,1714919168702193120,1825552664527558480,825824894308336464,1443970466999889235,3286242181711052605,4363097767187327238,2265724942961327520,2403294120831892596,171912377501074818,1719286781947918980,2614742191147017705,62806480443157005,1046873909209602050,1816096877819406882,596058008264920296,1992741894642281784,1803602339139393555,1372405247943713316,905531672877403076,358832433264893412,5382996492321516420,68506701947115120,1370263842604088640,392013151438074408,490062856276853310,2151351742101276690,2885364020570955375,3325962318151185666,1631769597951016145,846512209067891274,5269542081409042641,4456741375516209045,2413962951548855004,590287786179200090,5715211270959693368,2160521241035931285,4143188122248972825,697511751925990381,2351569214722671117,1873630438785706355,116452213430978985,665504182713627000,856218382821606130,879133456249037416,2115254780215973442,2328031271318799459,2037572234841641820,2457085754560969152,1085179050184492695,3151400013326418790,2953619129710780236,2059531499155813340,3506681200381294195,870001259186445309,1976174347980048693,1829487824995882602,240525733731725880,3187421390328704851,345435502998824960,1381872594680586240,181540789215695317,960664366867240980,1057592895863333460,1859235203250211122,1289452230675004296,1960100697893793318,4950254294946683460,2112654479966847848,1189640584181148183,1123110274010903475,8928274932688554,44645590185840450,297665372183665800,3699702560230064585,1988177447213511939,5746842715569835986,792144901429352680,1085252710715783025,4710648605369004228,5908205999108795008,5802840215802955593,910940735616312980,60155612500358158,5414515968745942380,44523280773753312,1113187031404975200,2910770449527774840,531964637651828507,219114634374356427,1460902006382670180,5018779001425568823,1313409286707017740,1990471473993465834,1187953682741395102,1380497819282983638,762005926910938185,95399798252699840,1431131872152567360,672809755634539005,1786144200629976711,701325486127428241,778074916912243785,3078865088364328551,418692194549687618,1301170764296096595,2918490000046126575,4652077094583148280,3354772530693905586,2008821918225765294,688125758059407836,2618285227449923232,608151002489550475,574454917159167312,2154408799602414780,1257615080907287769,434961299177087885,4737480479218102200,1982821155866146023,1192708034614110092,2806572736865570676,2253937808334287583,497694366081673930,2094568745363603271,427974894811571466,3566793064624352050,728836135102552314,3177114955041380850,2688483219336996832,2458773804584654676,2011658137241724592,4628419804345539402,1254796280097015660,505945737230338008,1358273764192101855,4124508999536379879,197236599952232304,5917654364954335200,3859516001488679448,2180165003399910501,1304377062951671448,124092223986752556,4389317021771367345,357030525516619008,4453811106570338784,2343529444573629112,2006479222374888807,1978092647351799570,2256667356650534736,1461478887831596716,3830558968933681788,1059210475328494812,3089116062401205720,2497258256599523832,1051188276664376180,2376235003959819576,660846193887775161,4017217215349319730,4123167455866044699,381370712416318884,4903798080423377880,332795047100378782,154624456569223560,330669301958200134,734889641469706680,4584502525413262116,509608868991033984,2263681896786342120,746971205858366442,2142625955016706854,689747564608803826,2564980011915190092,4482517715797576275,3582760033096296064,700851242692891605,1456685821737337051,4557471042771923328,3659924901373224615,1150112929868118300,2430710004514533324,174675518072540676,1455765790759191700,4503045157213977605,1150773859763188542,437676898045707960,3830031817308546150,1237644899979864537,2296614267926609040,1411221787682655045,3868948677133082907,691265661852028467,34008256028451259,1700572109908845750,2241961563497501712,2835465672335695632,550991990727822726,1451183592560156037,2060281631143292760,2686477977322965036,1315629776679167092,519188500762314076,647263341311704878,2062641513972623700,674740316605060510,3087849900990278322,1600235210385601792,846397835156211540,4802444450755402080,4185096334698290886,612178369020644892,128487867938686296,856665938470481760,3348059572982141775,629792141022019194,230989527581030236,311202965410809309,2766507339507951120,423845669858187920,1780933541342550340,1317551453202113370,1034892833756005492,1242654156283090516,425368282870420020,2635792362968751932,2067596713905484024,5527357633109690298,338746296649403820,5420447369726779200,4905065050521819288,1034096077097262318,204503383407707164,3155590973680223076,3507522482212773150,532811084499272871,2308354713589071636,855860034487883883,1146257609652030358,1233947978045003655,312826692650621375,701609374525846704,817656994545510189,2854838139655454141,1936085154885312025,4361388394065292251,2547202950176550768,2194272796402886524,806067199606684305,181439629311917720,1317863461896333927,4221029028373443522,1120467837893510178,3109387035507820344,2463878023259290920,2406425899748267080,1448947939394180362,786518274020490426,629247443914467425,4474075536731657295,1609103286827382192,429918269483205710,3758280226053803784,1531521105916806576,1247069867150818270,257856445093411626,2635511812681524129,5781924921731873409,1967415114850714524,1152589676939346600,55714092050363427,1300116664691358570,2661198531962554992,553716620269467744,481165512887581965,472651817979887496,527641061473456497,6030745464468736080,4041293305546966842,5062442118234319120,1123812314284998620,1443443847303316428,1049242241972083329,2670042535019918052,4438972425671628075,941027060207430296,187657038873641463,3127908562893776550,443911404246912012,3581088574256201275,1737488663332145262,1209566456555909842,2806116169899699156,703806085955262285,3218814754419769025,1303271632453854936,1211954957016532128,3442080431285861778,996381828293715234,528477280822778640,1747057701465222995,2619170321814721668,4343554030183658520,698451712659216549,11438256030904155,915145594706042640,379204742312456227,5129466919189477466,3105957217910156799,4898073087146229800,8860968199149096,132926880912710760,886261594570802400,4111180624308670356,4376296393631783640,810480648095477474,1575383073291911205,4317144272536194864,1828338669535201842,6752149368577400385,2442474035352582828,1490893643051965158,561413132171255973,2271159121203854469,1352410158255539190,2887421592676184304,322914865946605443,820687028477656190,326185696068261498,1283665949306428620,859785704892468732,1999490222895022071,1064233714408083012,1442266945120771996,2795128634796156855,38397885857654382,2304087010784104680,47730945141178515,265196529112725750,2652211414658762500,701395971984231398,543455638338374715,2237315827327590639,759569250046398972,498528211843253805,380089434565168808,1461050643504199896,1188498969358071939,245833118524346470,1845542219388916020,38951449423322328,64925102706069720,5843801088810298800,2437981399577142888,3281223442741764960,1041210929943798740,1192363431896465124,4054760621135515866,4882242700955234672,723125000355838935,2510579785186898296,317602561228017390,4446847908706809060,404197120139485408,1932991522455614440,1749793017743898864,1298467885708889028,2716248038110810528,318634623820865772,546832110724618100,973126567975985349,1495895700782595582,1108757101639626486,924925285641219726,56035347359336640,280202679011795520,2101714664662101600,232093623451305429,7513829754178586,300581011904620400,3381849387256448700,2031787331867960124,611289454352576416,3606223569386740455,2516620094108810055,1455378190991522637,914109284765027328,2232844014531373302,2029781736222199108,3603666637401800640,3254611506712670475,1370921683232714504,1375154659487522592,1416347423190866608,1370379156685516860,712492700543484285,368791273588455326,602995066715762208,3505480771637881845,616446785837314755,1370008382592750540,4745130018644790852,1212027567521339552,2633999933099635004,2055486456969013950,1763487188384526885,1832675202241691679,3447067325249392908,292241646144128318,4243223889481920455,656615285679893211,388253708261310986,20972947713194245,629246546956438650,3868394131038403470,118597599155273191,1240246739269784061,541662264682985210,1950617446927065995,297401151039449400,371785760503709550,5634846126505592352,537135116595680232,6906660398678658960,5009258218390681815,393868459433886714,3382055971608032512,360685624451186725,3591588057928044594,2448638338661995150,511428852304922236,1653112986575488557,322980173783468488,2422574758598155140,336448662760265550,1209119610029523804,5125435435127916693,1657635220838287314,1320779552343377397,531447026831614675,668662974706621548,1474835934245753088,808256732388703326,2965169765553453432,4865039318319228560,5269443392041782088,1166762736948403638,45461992718916135,757769707105355250,6665881811493048795,3450761805026884136,3066054801590384205,4034262988703900280,3522834248874334092,301661342519228600,1131334240077712350,2008078553117660424,489436297149790216,481607201488439796,729345605170309335,277179244932646744,1039517880236135910,2892497848970855424,4606677138541827348,4161774992379865470,1487555896565978190,2261525933898530865,1925734577292530145,625931352170746842,3202328303756349660,3392754186617198190,2866777793137772380,2081820081394153233,4508574710751328833,1815370238735601520,2862622204756185304,823117984075786965,831019609746960156,731713185384886415,2059176239540705565,1939887419326733442,1241956535727934380,303983027349084522,1485200179271593166,3002629523584219165,2009381204947457925,784713301604403510,3181409864864484642,4451745915485543556,411454967835757920,4155811662369127761,2947393745009933094,976739760002711488,107564580220789729,595006800131000010,5122952896030979752,354410855647812932,645916642802392302,3577192267387929996,4098745885561765080,1807524466828417872,4378619566874232785,50477063832179132,1262042484310061700,1499580646035879320,2849328849246137424,448324660189191132,3985473967848184640,2761603024199293422,2192362094973391695,2058519942206426419,3615848131162290846,3991862602037675463,737948556302258853,605195191916284575,3876823511572969107,3271222112460568440,569912690992529355,1359869556322510464,1959074725456968140,1375895329702932777,4801128096582300315,1234860431075851092,1425316722712562822,830012718033683160,2057217498005888104,690499222258263513,1481342268360890328,381328351735532017,1381305132707454340,1321250196152683608,1798751122815188880,2843955073385571768,379195882092378246,3792306365929671100,5117204894791568026,1118986810737532212,2268849805652885255,1262336835003627810,545170975497149310,5452209230465611260,4111351671339064803,2815169538423067833,453208897690392300,1756535163531654275,385829699683104582,6577213805212755672,1892661801049777191,3219604962573907161,1346874740400795510,578750251052414835,1870742749482842814,4626086025263107326,2006032595592577791,2135531395376244450,358419891790011905,1815253533629174232,4998392299797948120,3075242213235573804,1285538875141571790,164563108278336294,398542610747262170,70249711623166735,562049106875230920,4353998705128170735,4423830922846142466,1292691466348847652,392634019129138472,1386957126072150171,2900303256350984820,1126311303353024375,5482579778358868512,3499521660876717216,691589423619131322,1934346495148931220,352186845209364768,578617324997297382,360534618553589594,234328418753418576,3099382248679088840,689581119190411217,2482733490434993784,715610896778510129,285734546693059641,839253581494177275,873180419380401088,2147229466978556289,713051301236412141,597783493223519463,4649851816798464150,3260993548503398076,482910515184245148,117996118799005662,1184216681525861889,124443896822104950,1037127153026424750,2516766806772617070,2882627301129629958,544115552273737128,3627768110744599200,3822055863048130057,1490311529753018984,1892293312407459315,1922229932157608586,119066638588259140,3236675252457598104,344704395358482015,1088356200765015201,3377932049778727014,857537214822273840,856410041610166449,2970584765495210286,231269612034024952,1478756064678645612,2816355489711050655,5381916785502732783,4244351657461686981,2218207694931611436,72324284410884382,2531580711748380950,1403419651359784056,4450796277268270890,1659887546739139165,680598163565074728,379628660439200130,2389593120410691015,374064393620761704,4809837548616788880,4323939539980904466,3973384471409125110,2233247719861657758,115259156432690304,1152696547986243840,3449363779164290860,2965917622433421200,3725749415350248399,198022970715205375,3227489680759197312,367743793556766300,261625392151225710,3117262587532541178,1389798286392368556,2066559692395820265,1155635641832448628,255777681205386135,1717431353715111291,990493530915020172,870755340025112328,4634799593851984711,2762607521365619310,2104746348412387107,2101566101372500938,4825419519734743132,2884984909009539120,1697788130313689995,225175251022551316,1688967975115467630,605660206532077614,219530514310948353,615371180475793560,2493203755524947724,4914719818643578993,1398816350508767292,671884389566209244,2376280327092973440,41690084871554775,83387748130045950,389805594704044173,1299470064986304990,756068600729204550,1851774373745647806,2546557641806497116,350694073500102774,389695482076578340,732730672564042020,1863221983200256113,1463574432517384692,916045755172009014,3103941768407657418,1274048236665923640,2025339923174358315,3111975239791134786,3494233499731493696,3683082632605339005,266738221072206550,1625631007177360359,3336097630448789460,336169255654990976,966971449780181460,1049018817586139730,2950813636636312728,985618884097048212,302793032094043677,5856066458408025711,333345875456361980,571006072388919762,92283627054949588,461459991573212540,1443538984157716212,327493828637690580,180565842272347441,2063796773653127760,601521823559992143,2931569397641806152,1774632492215193000,2526980428796993584,763907106403977329,2490545075857469715,220007046126365228,4903582424707802480,1147805519577254562,1097480030300000694,1690818102591394028,270615470067757992,1014899970004354950,206935686468650832,481215087647230074,283004052079988532,3773729202244044640,1491372726702112050,922401200106239601,1382751886902079502,557614696553941806,83842074029672466,419248333225888050,2411234938524873372,4179992405512562451,2010226642345975425,2729094402148405872,925105087998332480,3613139242148013830,139471494045533466,5579364721658463440,611732666865953844,549660013369733685,2895621579788068912,713455948227739977,2378401683613601490,6135927689957770136,3557565339002467765,922032172031635404,2057479948141321683,1962395964051483144,648928704213516690,4516153223304108645,2168008797659479272,120866975526114846,201463175478357310,3796900824366464454,1655219571988912125,2314767183763296108,546431499229026493,1368544794513617184,937435162789831728,1406197554547895350,1967537759677827102,1278888635818178532,1630414963641512258,5879985578170381968,525910507496109435,1426758896770936884,3940132636492057635,4925826916619583331,5257149742803654192,191066863699930740,315456147203290606,5330868479270364667,3485475863441245464,367694859613003035,1941430701441266680,262792967867559192,5913375660940510980,1668917746499879664,257982511303448646,185034885849597365,507379351482535952,1133361793760215128,1854818600697196611,592881461224494891,2030639619524993910,379221825475902604,597178270418458868,3536447375495934846,1206731215036272164,3099574204116946825,4240393623951299577,2319049381737465995,5137014851397161400,243419100927595686,1622940367215365400,919984632167071347,2672770730467523604,1997947592175502702,4098026658095525601,3884018554836902475,5249783705235511596,301024523411693133,4884155208605678328,3536722681723401877,1512339787402313280,240294536588584518,2407760633669445462,57489012500740025,919907087201199600,2446385061804812135,1464233117436479610,3687499491243840027,928018694090712024,4455846045805822115,760015959674468535,1962070369433902185,720458916204044578,1593180761586742872,756243314443146507,2816695820867729160,1895983589601042012,756148566224972071,2444339007612414031,2575547016054804918,1371655658966784045,2257225476682670620,188756981216044794,943869851751988770,4445352716526270354,576200514068438085,950409915283525368,1524089491875362282,3614971276727284527,34912813943798010,465546065515938000,5237864395594726500,1016044450571337695,2990563358264781768,1557815078232112050,1508690827526476120,1402758408100854980,2781312546787864257,6096964036103030704,395274641759654087,5186886929584191090,1278126285737385819,1537977494807346068,2954080216448120670,1427317489542842455,3557760704283545320,3872583868488667245,2284665161634119880,4007400737900238549,434670969380397855,1313370243991842100,68425594870372622,5474539394914657440,824086920504374432,704218661307682185,1010021930328666525,1235566707760326528,781121025320737000,1205117530540724619,225895930420114432,1950643721842974630,232264804339144794,2654693243022801440,799219710860926624,583054741530225999,1002060882991809780,725242980205532952,3230938490777167416,96438487028038785,551126526945247800,2290974902733435420,728573953301556568,105458407088673447,2243391118685020863,305698443435606556,764314672823248150,393164129796163437,5673485458403676784,1938894577349989188,117520711429686768,1175312515148368800,470302856178583022,5375371783091956320,2436583015218178224,2311465537916299352,470750105779758165,2028480658199535015,621618883660448692,2066644715847947793,2184388196142570470,671918537755228350,798225892452070092,4189675052714064616,1982056645742586760,5157213362887412484,945707814210225555,1950440496887788664,84127442327225205,841349790571591550,477857566262225142,3413574077239975500,3314365305900038496,905840506339391256,3933595526092430520,572082745163370304,2860669870832763200,3449626620465604920,436902623210951976,2637604198498792360,260950357774733688,5219474363821341600,59643968075635424,4175451474258966720,2765962616540023791,1296869321690914398,121302901069482930,1386442927325564320,928158932589252752,703271382611338974,1408574887006608810,390967338867913515,5395902080642112336,821493961969791708,2491779606887064168,4813902234032721543,3638087355993729210,1611396341101318224,3869199955661120415,3636626676279977784,2494379876246508175,395984859295714740,1531380070828143909,987908854405734528,122208279664539213,407397345325812090,49704782159820550,1242730615346708250,55557915522100511,2778144024865766050,2782659923769888312,1900797974322152560,700762589436018105,3675151929191997282,2714802849545568194,5727977067116584008,2071921632574946805,3371801280112253712,322598044169164990,5616072443339595909,5078370392772935349,1535196747040376980,2263020270975034362,1582577168219156394,1225579351728396726,263390804118654255,292682575069805750,492834318363825719,119686249486655544,1795453982262762360,303936758731147101,1813550886920272095,2906008012651994888,3083403991267653904,3641402868471596448,2313401677240438266,4254148436137031390,1571614089568779204,5444225432158395824,307594147845541356,3834827863709531634,2114782897952203905,1099742872863669228,623744803932008202,1098920898481852958,4331354812180620196,3490502056952792595,219354086724296536,1419646186494020685,801022299147848502,2259398536204318446,1067961202880282225,4077240363906013728,1303179662260431612,2727060081097994770,1147856707653330036,361307323512166680,4065069562316325090,4039448039832702015,2519965143864978810,1181450937273760935,1496876880586054815,531558132868443140,996738886731099668,248864726448004305,3982190237462462320,92718632725574630,1016573793838506837,1576191288548652635,1418558917702732262,2308623403516640856,628454590205660415,5586760311460087280,2330307090526545180,586909792996964795,1488111588425163249,118333465802622300,2130191938374692040,5894901307190634032,228228227718895551,1304277340256751880,4889933004203263590,1623953410168551234,7030798645478049567,2836506072047832258,2599288568801116740,3155758838463858940,3837383766276925249,3524569952398642872,980534654208420294,2400867727393576,168075684191629200,1921035747172908800,2307311884957423842,2416759548468189561,749726567596076728,724930329032843130,1567328994188684292,1953028607372531372,3199271880780476860,5836498870699498563,1536193052542926670,2639606493972192136,192540609370750428,2888365734796688820,4550169019734013374,1839830804645911560,3327782698291479880,824815936087257352,361049830223763867,2046452234312334492,846135957887322720,1185541480055751906,613973893289906997,2056543959921640420,195669340784255400,1467650341981117500,810412859330900226,2970790581528740412,388991192863957578,1945128594790480410,6053565186346658280,1825772565231922473,2352339953024343984,5176839248521495584,741948125416172981,474847059633208605,1582963960248926010,1458229089842067848,741268042798880976,3017814473164297044,433483944747369450,3706815734948535692,1525137206670075048,2682331642261896240,1798523697338047992,3600791845268929425,5789184178105082256,5450940269441662048,1547663549327253216,120824154722456839,2720629869831258035,2431676068700414328,2045406642509628474,907846416608344766,4293544608704926107,5366201391341446600,147360469945821694,2614157580915591108,3970465900737152295,3351386283810579702,3318276469442688900,292993204142814656,2197643679232666080,6088579023041585088,1800451097645260616,1827625821255097380,346675733656562181,550120998809349114,959541622755006470,2216936561207663088,2771944446281243985,2466282527505120156,3337993562239645512,462469887453034125,3303648733217006250,286786760404602720,1434060710183152160,1793222613477152568,1047603480143931882,923131314800049924,611773278489978315,3282214619884545369,1077524639955013974,303722767513430688,4568162792444745912,1554640483527765960,1492611612509573148,2654110105287462828,2181621251386591455,3246552395351502645,735513677650233435,6195559382591303472,340469338103129793,341224131569090274,2517026638822330264,6099166899431029035,1545594086915930832,857864725586605962,3512437848127214829,1830164078036383866,2026971732778763610,85003769260189362,53289600110254374,1598829260210464020,1164661728185840154,2351214319231817280,2808002202752494134,2806289813065793725,6026830407529453908,736755375879541648,1599853478621520185,5737148822944456884,2423211517606273916,1443422102233578045,3726678053941261551,95243955763374625,190504729354369550,1536577481383409844,785621968472958849,96570310769512306,1931576694229930200,2115342031541804895,3166616124726487482,1596618478765591980,2766486738989603928,2209838451551048780,6133916087186819661,1068814016655611330,3896766347226738672,4465329050447686350,39951653178745635,399551772227314110,3544135261362140319,327449851638900696,1594790698908003018,361216947249611430,154358064924072036,1435401921156638234,2844667030458192030,732866919645066798,3597204810835446700,4092107772390814848,370342795105299414,5555631576084570810,1551154063486186764,571832964358619770,1517611129121039036,1036186604550925401,1960739938212026181,1496292929890543722,39459144641688045,2762383471410603390,3190879651228018640,2960261341150861695,260529904211386062,3803497734188096840,5560122333087598455,1544593441846943476,4413128644127515984,551185468409580558,2730958363617935650,3470684234817220526,5735597939282819685,5945939723904834824,5664509805927800898,1280734136841250890,1822000805456255373,552919222291127998,1960112413710706227,2838284799863888961,6017999168297404935,237236138161644216,593142530628563860,394423887732573237,1944600497588295972,6462046973270711925,1649467884895320162,3150759535860210012,1110827953314946168,290085000011236189,3309257968219585320,4920284437746192372,6637851465936707547,741094678064207046,776070652037495724,1774582921374231870,469137770088698439,2173965561360336980,3198969217780012964,1263989046662991135,128548873870684050,1285601717176209300,3092012950233887295,2617214950191547223,3766732689105120258,68820165231028950,2064786355184825100,600281957181154440,2961658396355186616,760516114105660324,1921930500184284480,1303687091367603570,1407461263537950198,1173928327345969458,1179677518904734704,328384061172570940,821032239742933210,3654873809714628015,5947702534506783114,5532001178562370057,1264541475651080535,233820715607215140,1753809296123196450,230832668607116571,1795522771449435070,210450048057225795,4209370321740669540,2530112915261432172,861234449350738764,3000399095987188872,2535347712187923420,521982318215283080,3262675675989810750,3499591740840420145,1704607517785541870,558488597084406240,797910825222153920,973202900764606726,2812734549821418060,1482627018147528696,3005619016567775360,2555225655578218152,754919312696548520,664291626262779162,2193281170413387624,242353854050330715,2271838883821416708,589453880780289864,5895055396883051440,4210961672788071864,2103972750678176640,172525203600489652,116110937124942108,5225449943675996460,1607288925213474156,3724782000212687715,953361098071070904,4056188553231902766,704074274967399088,321893151204031911,1839550520494690200,427622540667895115,104578079027542635,1056974717213017435,3115234961222488552,2220860614387455000,1361144876461313145,872876133062675844,2050783427655398256,943299358350706384,344238507105372105,512192360156638110,378678642987437014,446285300074743608,2244237359775825384,4192709922941582910,142118001231279601,1171607760960716154,28609155116518707,762977538915745680,472342419351861420,690332989566326026,759521624557350606,747560243699626131,2460183349553781588,676561089347502795,615485545633069392,769424199380343860,1513562417176548447,27383061822221628,730278815454756800,382022032782541465,3056443393295890680,335235076156571829,1404023240916578715,1787056246917200790,2808112801913833554,2974702422291411270,4638550137218610210,1383285298801275709,1509652087752859800,507802410533405169,326986826289099192,1090051294477385040,1703539753861335912,285930572010242300,3574444291704357250,895921209440029752,1164645183016333980,2788423278405335193,5057245353253864560,2737212490944324066,2232720407648035950,3320943022165503582,2362039991137275624,86080861081428880,645662807400218760,475545944362156134,563380481601499925,1205729302962331776,158656589927569185,6731874164229014097,2310542519297064858,916189588468691478,4129068021200857878,1532628308998611810,124502167166597230,1245130267017696700,4872099125548554084,4537113784788771416,1271249752943974160,2403258695498954055,1218639166320194450,216551017406039879,972718809761215752,3326515558726130625,1549795456845126782,1143888779662019118,2040500254334586336,1762045393463496798,4166711539443258150,4635054178273664202,817321145510320915,794456039136886407,381635388312093537,3183500862564481690,2073076624142009910,278827007206659474,710475986860147576,47404287665952273,1422252502630441650,1073363922237600130,2892243921886399248,2072103628762118823,1071237618962068164,928228661388585990,1331219721501375601,1315200413972886984,3056022361456802604,224055469304660290,896299894806124600,273654588160679115,1058116546424348105,3895472264567332356,835417292807376825,351617095588373505,742118535416095010,5780516824809732573,1584709216887920877,688274838814287744,2439345119442989640,1415649579317462097,1688132877133780720,25818144287904432,258203899215797280,645565890413562000,3341986829421687126,2054184973783924048,392765376482080310,785599057178243580,1885243251155048365,984607127655121914,4787812258841834442,1564194302829751772,2149983745279910808,1259968476368911320,1239515661605750238,293250464311133809,2411295008859038106,5799405127200084018,537937376828304735,2217372812341725276,3180969483721158105,454545980789075299,2929741749968853375,1446269447258304330,956555301857928748,1123528430325194790,2207907278696631808,453654343431653638,314409702034909575,4885067358351589272,1748690368256595321,2029655162792603232,5785079740103298,144639549771683250,1735825276598135400,358236461995933491,809225758151390392,1664543593621896930,4761954924862082490,329469214445295507,3794104750402680255,2475586389609358818,5785909440091961553,2550527673183704925,164537879421446208,274253590200361920,410592270745783062,1445363624165654144,1838655414486910560,4851412644133010928,141955997558010279,1146980624984450414,5262428122266057504,5233830247351748680,1853893805130091143,254777617134257349,74861528997039399,748680190736903910,6655511940195732000,4194552610966658982,650102113865881818,3786731992952868432,997649590556858450,5273189580491834925,5296239236508568278,5522644650442670212,529065065293367786,827625155036005032,1497444258903787240,1238576984242206112,148748440405535748,3719033133582359700,1313673592258329568,5074266996638882280,1632862441948906084,4834841529494162186,246582373794290232,1539669086835848732,4111261552394505630,1963336594523398110,2182637878035498933,488928597287955166,4531565381925169035,3206587556803181910,759247658494308624,6669334419036915312,1397057016857588826,780813184854275336,254383399413428610,5076532307136737916,1640227720136358306,3358089752600774178,4518737984453894892,6198973006731208600,947128432701171483,203032478883240747,2652052078172771392,3066562251963732516,60820891720606185,202753838083980470,2296924134408844878,2928043789852630564,4169919513783148272,676693803786107580,1389178665039770915,1140613591207083155,3485765208084395544,4249676202689598228,1121503708110432560,505289761928879178,7430541130274186736,1202954340554743226,302911463402406255,4847002192723394800,207075998627157582,738304766289536988,863927064432378864,1766887649264134389,783451505549812080,174506008747238917,256134962087398584,3842356251629599560,37842265518469395,252303556115150500,1640287186152348492,3472791321967239890,927965703781270812,4266038123548930197,3849650910166602600,2764330775152272325,3337296758953126176,1527404804158961496,1641075190880501248,536133448584496095,1736388117106786976,6984367572497683626,89141590501903263,233891299728009318,3118819729238724400,1464686446702269456,4952410569555066520,1771288602459730872,1525632857405139348,3284480167009514500,1604027729690349411,914494691054191728,3480527395673502444,2045699461258430094,1692690416002895370,6269106985958540936,1402683443460491607,4935914554443815229,891994916615739496,522803440851688410,847322332291443024,205408991613039157,1385797372951116336,342036962340658284,1465999020874050600,3082182816118169325,1483796030684476632,585405109016227536,1218576955118984186,787092270859662495,1890117585524137011,1093495694630342328,1537027623104517441,5101647388271668170,2431048772774340135,2462417291264150142,4107750859508527788,33689063950057980,202151788745100120,1347794628417828000,1505833945725099422,4124152578588753636,93393452429697588,2179368142598155880,1641198525095700045,2362647368144559356,5659320246257752067,1151088426996761619,2898001591300707654,1433545117335284240,961743722792118552,5103655069324009608,2711069619637060423,4036728986538605478,204316569380371975,330664653184461876,2213084364801619833,2628483269966869030,944499224301884464,1620462614507815275,2013251432378040027,2141857638823764387,285306992692159806,1412660409226575045,254559551226709065,5821649553294065652,3618110698193970498,30145873088401899,2411877140598001680,3986965590150897135,715625557745703025,1721570853164191011,4748140156535395296,3948489589211291790,178013549718450495,581981135519108124,2586805048042604960,2309264244631126395,657520107116989450,1427125426951999630,812389393291350582,667173814182007655,3332940534014386379,2818467795174899670,810946513380461550,3104423563685785610,995105827421069745,1637937847629903264,307640565085714358,3397454932943864775,2349209533020231573,401794047500692932,291012523878279894,596048697768447023,3222893117512266320,2594782057398515256,5325406875969626728,2565174053091409236,396932902730878251,4250756988983070160,935833021735861308,2100380319397681551,987587520274030768,3372426492565799907,2461295887907123760,2980874962048015554,668063491693882545,3300044889026208795,2894702821791695905,5023914603624279040,2319154289725002129,6849011052679955392,4902821639372866998,2132725536382399635,6584529231483165360,3876114383436909816,4331058347315944920,497666178029754904,3832893160629822830,1555981862293394280,91209141921685851,608113049293189860,3198944379283774947,1317767976629713525,257426363280382825,3089380995638798940,5890807813240849345,1322677223063659946,5237169817875876909,4541663120187224360,455567746963962621,1724499560013028575,4438499585657802144,3509904441619395288,703760819515872675,280623757909611788,4868349646849665093,470860975957775664,4407121454741896282,1034792860630879940,861990642797066256,3426086102243036932,3204644637817351732,1481073550280607942,6685772094100349640,4203730324532903872,153631430744392164,1536445750024968040,1554617608984063808,4314090565206345,86289192030165740,3451862918243986400,861227563918642188,840914738623101317,2548417538656636580,2279130003162676377,1329629116407544722,1805044021014271107,5835996538997834496,2247059378355152380,433628268226911328,31734006669279810,158683596798080550,6503999302077609807,1249009765600341960,4764896874994168431,860979645273084576,1058580013220472435,3103937026217480928,1263778940819005860,5275673862981304524,3708914036341217856,1018094478829694872,1630731870961093692,1233413930369200940,333764900219198103,1731654104300665209,5946591898705150912,1531703978679169272,3114718940576684700,6903784863960345232,7557772091056100757,3641165165383896078,34586366856469164,691786391582998800,6053647666802204700,3419058761966832012,3014678420923049892,5473076327343067086,163171773581859315,906587217127915050,564064732723348878,1611751045301270680,2346695079210686133,62986619359929720,236219974630646370,6299736725511392800,443891891908659078,6658946357028855030,2782406767303730040,1815250255682920830,2121671095441256205,3099814941202822792,1624211842573930968,631464600759399690,3332183288022757854,3142907129554251768,133123824209953608,443783911452221840,3385886937930056070,1495492123302249225,1292265058983768170,2318313897084264534,1960905684700800510,2249225175743609600,474264350933190705,712792787073106027,546475890763427418,254998182067248078,2550199075560012300,1369433088037052554,6140781085575047112,727294184688464846,1294533482355442576,4411150685128339005,1979618672479808889,923675314302477368,1641509653974795450,1158744875766962841,836837888556941510,6367587422565715038,1089319171399056324,2387354636927033879,6418831015394811912,594679193765072835,972698376624668224,4847827376760995718,4188087193063042895,3837590280966373519,263187522670857780,66305052047480097,1989320817808075590,1410750245335533102,1758973102096450375,74128657606266540,2594723730531608340,675870122338067244,1536171688627388082,3840252955347415125,5726681685692432720,1737401350463787636,755931762317753016,889289028255652404,4279189047904984451,65587182575314140,327963794191869420,5381421683417149699,718335482291732466,1279857798885816984,1561862257521579640,838134190782102864,6343293806901678132,75677260053256496,1513673823928774080,2974005612535932200,5021896830204285346,1794163759051149324,2247186686737760046,3764704039958382230,4422987092704569120,2662904258996960322,1710744694770333405,6437382678452319048,977117241950722035,1046829845030360800,2789238510655109808,4344239504241241655,7511048558551727847,490995379096054617,1637795857282772175,1776095394202936224,948471608450039268,754420568967113750,559372645846423924,1595931728823618435,26743163823444376,267454334630615440,108656762098345962,543329912581236190,959934062272641650,863124940116311130,2557857588466760301,4635776847854646361,1516866955235514063,686654391624528625,6737495607575769339,3948469386106830288,3954268948318256715,1210974422185841184,539442761950502220,741093702819570590,5470150965587450253,3323619010502704608,2188752357571784635,16683532426051900,83424733846640700,2502954172612419000,5376720256639905184,2981032975904863455,4271403127350194280,236241786357398848,918146726117585181,1304236647364839903,2538570021217582746,1166546567119755390,2899430580016756040,4364531794012563056,1413271118781445854,2408139496717339194,193506311876255460,4354260797862604710,458467744841618285,1637481651239703080,884174432834296728,2550593715013483320,559616052923666289,1353588227106130368,5284410764687272827,3225762402369888324,351458594454838590,2064706867131589401,639198396739990782,1697424467351467563,397206482869594008,464534831777583820,2084301272158625880,1702734230476300168,3718132852295166798,113137014455407062,3394397604481910100,393336768881299938,423756066472201128,6549100524684647532,2306856954906054576,4847841696359276460,1442978358211689096,288965797905231624,2889902356149122640,2988177481231170655,5298061857454979690,4352526934069839072,343495529524698884,1678640233923780634,3908142794027402616,3453346803113159575,2164568437299342660,140279966613359892,3145465300841289942,5944006967360408415,582753275409298545,1663933122420057684,1092343890722345688,93954439500274701,181512484543758639,1815278199521698650,6982465705693411842,724211065371936036,622165828712553888,630158514117635652,2561814104518665575,3629315263744848525,664597853080810038,2735621677756151844,320884468445916450,2173863226809739815,206734280548707594,2151426744539210978,2166236728291121655,4871420700294090132,1181674137543551370,626574124820483388,1639214953694172770,3185565546517119005,1037152207011998055,939359644642349580,1467602158826501517,2929667145924778470,3350737850028363095,382286882277397015,298985776039403970,693465670010674978,4944124221313000746,309432727727940363,1802168600048890196,296058860676452775,738141041131035171,1038026477625227442,5091263778307889562,3304029382099363782,1947703494829757220,2403355686436029276,1912627082966980512,743763758927442030,1144582401084322092,860790917093255460,2210126420567706292,2087014600538974008,4434571317371152752,1493386376117467068,3620552269039326550,542440330183656612,214563675327832470,429163506394201140,3803267811655886460,2719476510828523200,990528656736875046,1064202477333167994,113304620724800360,2039654948748559920,3499370427311916570,5244655284623468925,4745705383511192448,5135543840732111730,1823232168680765151,2328084936763363740,3455546867878176720,1450112120495817578,900767426660349330,101349979443568818,2702893607391848800,2179800559314775167,1545719575486219728,327627287953910268,5277654663824963791,1394870300823865770,1137983062671009775,4056510966858642272,3239794215278744625,1723581175636025466,655699578770545545,416159984208794436,4978191287900175584,84925572980308647,2547981468299215890,351803481594871030,6991588842130900344,3090401882062927812,4506106550670205502,1678291951818018117,2506930101298314240,343647962642820705,2062061110703108070,4043699925709609674,2157521457532686164,631492438552843840,3157727567552819520,3226788528225867424,370632839325256372,364278456630996057,3238302809695896400,2514422987730441360,5375057518789530885,4577252482793372984,1334332093085648964,676216280948270265,2778948764030755505,1901458296293254016,3619877084874518724,6408533883779496162,176126015476455380,2013037778631328320,3711014932267364870,2273845107914346372,3520305872844546474,1086823180241965560,109867676651951178,1478706326314814919,674830918605305928,2134245288169995327,63790667893812450,1148328389643614460,388129755657432357,2637873630417796944,1900435184070966687,710798674841965110,2669112429309061227,1806709899081113226,3117611230339085019,3196179870543810036,6182181711709031630,1670626395977151694,3204414769465582857,29447839965983490,58900619198910420,5301500273855523000,5016630147358113162,1923257522084549136,5634838465938445806,74607339122298402,2611475786578930950,1389898348804265856,6785041908412548616,1907389341064263572,963557535202316055,543291669593753065,95252730781345168,377076160809406962,3771077589525282420,281421875575262355,1125781821661520700,867073723130752074,1760688872460885768,2103142374275173320,3227524182402778260,1561599054677298595,900356427041021712,99250410085187650,2481468057833016250,1020143904090218430,4532457658565333175,959383222320332884,2467597802441320656,6590281450721099856,1973532809669303223,1643163302663114640,1630619366002590276,265010271141989286,6184090573294799340,2437612618036419891,924903076001633055,681024954965308665,3293767299312563339,1483644118614685530,689397246904507056,3909614956664222310,1911706901821613477,220968036605779764,4972196737079650890,1033422457023788628,7472629698326548695,1637645657059548522,367654133338379727,2101056460802193240,1580949249420119230,5352486469614034030,505685192560837164,593549413096394495,1158144300155139184,1735358145340259832,3834410393215413600,1575338245593413352,4715849951268268770,1429726765188552852,18543613267323624,92725815162022200,2163783164550450800,2876317141298954297,3210617855572813548,883272478753696535,790022893405751045,3752836526831903070,2132286491831585976,872289055501902441,6097421112743635173,3101135965939971510,5585390358961241400,3613266633999622695,363166856020143630,5811154931886988320,326555686404303120,1746655801234842987,151667375694190244,3110570134298591985,7677840156525531072,1912495967966341980,1535434226948480925,772338745792312882,281776704452652198,397795813595028207,1723549860108212020,2184295321774319046,593613669535953180,1459465188713886235,232649691525509939,1071050873862493320,3509654428225272900,4279668021702947718,5176358520042995514,5085439390414819503,275221161770017780,450434671941882243,4504722376935081070,975541934282935314,729783499698074403,511212778943576360,2672136126731933001,463475068749569436,3146760204477614964,1523785149876309550,2229654706880122950,4362835883267278360,5237759588015880424,1076997109261948236,6835838944284636,68364086262786600,1196471206614984300,3248640014868888028,46560868933376053,4190827349125143630,339212650704229050,3993392470042083965,7259793059791442754,3542815614718439504,778023479407626497,3589690096690148340,4767324857815506224,1143608370029576564,2641769405897932176,4864911727271592872,4154710613176357080,2548709791900207404,587052693595010643,2516149574362594170,1205518749835196268,636657558536143530,3900875227038018312,382886963884975245,233998771605365838,542438085874834286,124601308421062920,311529192841242380,1254784012042948863,1172551459501133316,467767721265432738,1088767030987776450,15970964262798036,1437506355478021560,697816649703801977,681404702827778991,3617234481114294145,2676231053431338300,392220478196572089,1291409786220119432,1057619117350370698,788188832232812175,2044171923724964322,3077640981717230814,5655231397633735125,7055207335174446624,1431501671537468490,5126849626192128306,440120919557676313,798902847166587818,2351247957086528052,1894807725745986720,72116935688871367,103032754445671590,776225024885074422,1178096051043716499,2257814454669242490,521916451332625099,2851556765508401580,4917405350231382834,746393973978554253,829395518050565950,1618853364606755313,7177273543651619656,856217717588304773,2676569924242421442,853557111410972970,1254416119405063641,3440231727030959868,642405633306509444,1011147533201583638,544581130771150425,95767527894934644,638503177062194640,2910966251475328146,2033633212911086430,5452805876459718520,4474983714417481329,916837850497357750,209991849566685555,5600247251634661200,4756078505162092745,1418961179579056983,1713538627074035400,2684182895296701632,5163320093796478232,130613177993764785,2013631428172644165,3719176687521031302,4662958686796355832,5965216074391147965,603745274035143070,614622447071149638,722953539143426842,6320666097943102367,4466259204004797285,4773388036460847870,1444401306647013068,892238167128749739,783403375067677913,2395114747537171336,560905122637912530,908441663104143290,38040309463060170,304347690347495760,3043729056632594400,2593154974324558280,84762962111162412,7629298521296510520,2981126372243736537,1193847974411229378,3227150466586892880,852091466788360895,2607198675365465601,616365965416200588,365247342447964689,2807139667077061245,2010073661937639445,2382780540945801348,2087877872496476448,2286366065548228227,2240106850238945940,655622972467218432,1679246175066814143,267042662771482820,2670647625292939800,7285948207227126225,4220339582629423270,282090028328581623,809169082153929928,209615015588099286,565396973549225220,3040330845492431238,4262594886551671640,2380489081757888805,2714875903833577736,2187188070124163925,5965497915062840016,1789087435322637564,1385710877856920752,7423146600950493027,725017605785915355,4028208606723220350,795380346414395196,6229419811105384944,567109106433469331,2015387000069543820,2117389530541983230,1205553455037519856,1737859904736191586,687831912747199156,2858016164771185460,1573825482895016862,2408283116782162184,569974748953504682,248537529455949798,4009221228622312860,1927452761177119266,2430853015634127705,1905233285869721070,448684629875169019,3403845219859851480,1312260474980693108,1659839916722947233,310087404807481248,1550565047028340960,2867706217313208240,696999257646471765,1513031215304359572,2973185772379430550,1221061320589037445,3881532685130259030,4041664345647591312,3302177954098249431,116917145194887112,2338535878078187360,578521042899096195,216063814602251232,1020406542883146582,2371206974739841071,1241499871292803508,6701550451420076370,646616686456434096,2823836151716173708,2053904006368494177,3295932517765066347,462469204652074125,1892023896113378019,6725732328258231456,1451503896814210911,502528322903349112,2070644114593308330,1045941746369094562,3364016541838170875,1391162179930866996,2973357419986973996,1123714786723647920,492991373339642373,2226629282791203330,509455288515912304,636871591482431820,1793659577718881260,2279232195550870191,1801897295434368516,1599166205872740726,5044550049832777776,392554877128603290,827382970355466936,2798943500786611842,611646623123403330,106750034887292223,773840635960160525,5079307320034306824,1743668072690179864,3009883262795763438,2707685304064997310,1720792495002916540,1540919267709018788,1793066945177994102,828087040359270970,1485627236008287846,961373535520167120,1440843225897538365,281512947316056222,2963297968560396342,739744914365981790,86473959972874340,2162026891300955100,3340079772134663140,844481595802141917,362118822608868345,5794377818065609200,5056639842146583606,198156052508759643,763120636668670920,611741889760459783,3778327084882445280,6472619949757172144,3863177658251814180,1222752200915783088,3329372688065875296,2007011530502592880,884367443651752170,5329055845866675286,291146732367439836,993449504086999074,5183029492448953285,403572744555773970,4036059145416237300,2989423299615375104,740722697655748520,1697215184529273765,487274537208922224,3542013316000011885,4705589504445008403,2169402010210832117,2806281702240884920,1518598749357513138,1576637227348396476,5565580052487752598,4955462053328317152,4172087804592943380,3762178491597472737,3956611725570721125,2317661856857831944,880006123126235694,365442446527791630,4551645884240996965,850063855837416353,1726784635901975601,2530079211462066784,7395406105704603570,878516067692036844,1585554646875281199,697815245672613815,1665831225926075193,140885946226234440,2348291785346984400,753635168693651895,476320020991574211,3349258456352298665,1634732527317231510,888452508251671396,4968900496925090744,3508778132736138960,589411888323386591,2302913735872447080,821737357990537860,4349969696436435042,7377434013394479501,847699405451611554,624372754044540585,730744200869557428,1196062548104646228,4197633130112332338,206128998586164585,5497223877735126000,3496359821635904248,4853353754081824446,3982622045165152872,381092358737132925,664299622618585850,1636155078712466532,2058720213523436490,1753990123951914112,4940270066176931724,3709867955708902410,4643399942356118076,1158727234401074934,272929374018459432,7278712780529220480,816007397499094995,5581506989289493178,2440988983218326704,1159059078832875324,815625007209781914,4387617780392224050,977509404369811674,2268564794362631320,146172059029441942,5847361005860235120,5172534833498302410,2317035406434236649,4919081856628583439,859455416593169945,302629762259264447,524219617045147530,778204778806820116,819300252327484992,2870123100214856556,3720517341017770188,446824200109637220,5466185993149114044,1300274779811924448,1938829875728060604,32777417800431924,737552220581437650,5736986439742831700,7355674879454192544,4763814287626775376,2240259480074296736,392687439366920580,5890793204239502220,259608794500847727,865433395780313490,1395350095428808068,1439398847352415530,2944581859921300284,5400546911793961914,3463635819597689815,3718530209338494408,222049915625517875,634480174931198500,2814802465971225597,2944012357152090522,2501969381210067645,1156919638491872775,484337452530700566,2072092761453452691,2638586780065986354,1403660348249334804,4400341933438842680,5279428910813944050,2406690923242216965,1344338109629867555,358991126887285680,5026286166589223200,6380933888792599389,1853923656318454197,3791481087976004592,3854307699078113790,1861528459843500840,1967717860529607534,3028339495577443206,3799289407843430955,4689668317073648238,1754734854435760425,1488165096166988640,1602930389981717528,917225695840855104,4826247573966144504,3836231385420736640,1337271285351266760,2237836943160215451,425777716615782288,4790390032067941260,693057778762575525,448569630052031511,2344297068843810294,1215291098192577948,1384266575795598448,2045389524765538395,1333215868245665244,4429648643012307208,7235671683731695160,3525755940516665085,1129509067985248870,521891885135707248,2609672126920418160,356720643243699323,3931526783548944595,3572627676295531920,4543730031523120752,310351300110110672,3122583897390743235,5448210299870733184,2227376939154736845,3595029500832857451,1420644691791675890,291444275297707055,2331744125697001560,1049857144499963320,3844576002123002130,1327039392498117780,798051181922032594,3889074389359880028,1829815528966870350,5562794821359215489,1040206138389794252,3912685836436166265,55661616948522384,1669984448444359200,6488739158833951131,8200460200371679737,4514784103713443118,93625508462813334,7302291382955005,438173139370236180,4382087967063880200,4795701247374374154,1676503067924922402,98847999743947440,123570052447541980,2143699455124418219,2463977128014342909,3514224138612767344,3763878335387001855,3240888895967120034,1820944509953810976,2941419161437869132,6748258548786433368,129079032527455790,5163581142296510960,7858024651550752398,2150019267574721298,7130333123518277781,957809019303478980,818092333017353730,1298715813966559491,2425323407489513832,2872420882536325308,798951129059205450,3205584285849481704,2264174122714301584,333067444842143619,740210019636032580,1814913385233875530,1385881695810557254,3278606554948108392,372490949932565098,1860819876079198178,5518605776607323370,7313892963152360643,4708100743037134422,406160955743382258,668045959809897984,5905565875251920840,3430573765146702204,187275320464146773,33366203294104576,166844561487313920,7508614808790144000,2650533388527107592,885133561076032266,1390771409428122236,1701076855244458004,2608951674098791350,4985006309875954665,6996237027629195480,2789249407422261864,687500945835650779,343235263882195685,5062664848500467112,4372764836177368272,1509221059706396418,393860620025434470,7090066252650311100,2865334218259948288,1435140904458186672,4720530177867940986,2383283424441612804,946684009153783680,3491987729192688082,955389997769562675,382367280439207521,347923335946842568,3479515436977742800,579751833941554794,860048578601967789,105667546049786785,1690817778121725840,244283545745405710,4587775594997351088,630226114085942910,325622108636836807,451460870788347889,5422475533254777690,1860213719263597348,787192829636204694,2730541046362123092,159541465010524332,3960487501295866530,52578270015222291,3680777017451681630,5222060065048499865,1128986076939939648,70789357749259170,404543373650767440,377236077939838185,5281732733315577490,283929146153368020,2271617073496533600,432073118558988186,3703783689432016920,1109570418045714564,4328413653017615725,1825060656183005560,2448959219239032576,2679396902286773344,4312291449169686328,4944008193413733885,1009181165802522070,1083126998226558675,4795949542117645206,2977487873182406556,1105888704900977420,2670690416789939580,2796721909384607502,4557715199235141190,5423212525786707864,431874483819996942,568146953520769720,82579856535066357,275288448373720010,7017427821688607312,2971194468851253393,3897969098986118120,545688362639196315,1761681153836951394,2912208197839841144,4126481744563856345,2237005972028675970,2661874781988934443,1277431422816671409,3021345683410401468,1025969089512157005,4224847907209961605,2815975853343362136,1068170371482526352,7131936586726965006,2057950355937035220,3232958936303669580,6970297328443317051,2071397330638801434,3382203561237169552,469866297315610032,1752012034212450,17521535289714700,350459005491926000,2628654794515395000,2427668399206632136,1503546085994466605,1339595633483856780,4794471000922947804,939013234713992632,6539258865353829804,1758044582692514790,2940471981006727383,1783290512131613604,1392212470448742116,1507011985025305364,14240505785047110,427249647870937380,2848560820657894800,214933540028070675,3439214101740869200,534758896574913720,5776954079935608315,2314608585619233336,369901810336384112,2724609378575155599,1826953223666569035,3525546952884318304,4483902050330689476,2266613363631503466,127852513199836104,1917942337081092600,1483472950453745196,1765586966285253402,1397597110852368132,1780348901678064584,5456552659843772160,674026478336284533,1810256064122738520,3172995365745892404,784746220469704428,1073563055534437440,1773116525725528089,2285382006304598448,5229772479723373392,4399486580902097490,2185615651334330565,1172725066069446156,307327693350476223,324920367571148508,2437099051758924990,1730632520514925620,108203533015718358,831242756476210542,883716320116988554,644001434890693182,1555345960393200660,452536173705578488,3374451715574432286,6423050957047654867,679499911358553787,558648570232925055,3672183218591632692,1364237940476784066,1054063150172772945,657923756462832348,304115606601888110,1037313178870926945,1482793254567071552,7270740956479104136,1755871277855150511,551022992907524340,5351189503987487718,3721022317687302567,708177884551021196,705411486033212149,3936332116842778665,3554572996382001732,755611852939086906,3766751586327579804,5441557467468073842,2979185779595255440,7982298563710100661,2500193531594542931,5139234193503435347,720250586601186321,2902248568194476675,895740809165652016,1000469205926257131,1488626006363131443,1152553179766402025,824699086253849520,3038745581242582788,536785790891284531,5078344305783369960,4006731385765061928,50462473915967935,4541987554987166190,1560202843331735175,1676504974239902106,3600352028037917904,476516976446224145,261118229310948465,2321237354586853200,534596100167884239,2376173486300981560,255237325711842630,3286007723984066730,7087652459849456976,329712125953165893,907272144175138038,2234261875526185710,4869933294547093266,3192284504960409876,1159591869407077590,217283345963984736,414391914574499415,1731871349141667692,2143694998063151352,3083296752194917075,950043492683579776,20487519474464475,341486055826424750,4781188362508778500,1127646881783842914,3722015350313698812,2290721869240156035,213333266330654970,3413606051187338080,1879591951052024112,7212802884269071776,3768716034932131160,3651629125790946008,4079579395959709971,1169781958501645608,700084221436797726,2604055146351893460,7297442254709727912,2034131023304835104,670225783925300190,2003182652995600036,1541844543121681050,1338481916378567472,319536634475448072,798905607547397580,192522282319656192,72185447718420930,1443824638468833960,1009894436065767108,2363566972961875400,203616690287472758,604138239191478645,5370547872247043440,221544731992680636,2215624776344553960,3913945526271944575,1520134438160968630,1612819010675433636,7065928593022889106,953903119514367664,1926000719541901224,451078999092073000,2255575573883819000,2638877592893628105,1600905596650520881,765960839695599552,128307596841639720,427726223461630640,702403021244025702,2620262412668273364,2787539262939137760,4876268823961145850,4559887021564958706,606742139704317090,1404635672839594008,4015337564844034665,1631069156270238360,265918995949821952,6778891379717518086,7744468505216638401,105658269663203308,2113334411249943600,2940307266956673864,1354027286648538938,191603388423898938,31244943449709801,267835215879582300,2678566313233243800,3895194596625612168,6151199425097576816,517713788703385836,4602268221578827200,84936869681738274,2265164235625016160,5538293485471844724,5775239820645341703,2762530472595081120,450123848030702382,1024668589411901832,4413933692968609128,2975951715879997420,6808695077101480065,5288010705382492386,1095147365476774365,1681868342111081664,2679080765098754358,1335587424150295180,2839866818822186514,7295616347255127984,521103026484396353,433761723355053085,2062042581577546680,754140704545476170,903707031300707821,2176061785638660465,1586391368870975946,1016838853212524450,1216978372685881260,1219725616807173357,4718283031883262822,1284193016572675284,1594178136321053570,2917389244634511248,6996963960021205089,610908918281746230,2387102610648144897,3695158907923470300,5544534533265265448,931384392412928996,2488035771398827224,2869231435579218708,633740019428291530,891913753717003467,405622680560704004,283843965012300285,3406399225368028380,1780354675320347050,1704615628640968002,925904177217289344,5760224541524248407,1307596439814493376,5537585885964627810,1733412704321892468,2241556869288789176,3254707602220142100,1886989758102166536,4423549172879390600,1780398450796121016,1543998181741881420,1701597004013087928,1049922177424448880,365355189371926220,1736356151065693426,477847222851751227,2654918296397546650,3092379725156154090,359131827032135775,6428053662254281341,3855944312797929651,3580888608830499024,5112391290946329216,1903236325826549490,587581925202252558,356352972198411186,1597943275941004699,1453938467410454544,2267089346855420595,7545059433284614119,2817359109878058504,2265636858787406293,2495679024832056553,684954113571552315,769112074013031606,321607483664493567,1675287565769178855,1877356808428794876,5960194389283138690,1660022241350049288,2459721241146991424,1154858203938033006,44109974023444224,378115570594483200,5041942004618649600,4290036269768704656,3342166277046976830,1528787488099773230,5490919242574231410,2996976704491001262,1503081008932906520,4587147777445681935,4161574999392892456,3150097340135337800,90732721762097322,7259194837757441440,3754205329032622287,2264858334981623934,2795599442363620920,1216456941655410618,2164484540952808704,1642872449147719368,902504090884545632,326905228135380105,763232459181139878,2785620723329119113,4351731390412644861,880969180586293896,553710900785121220,722810218768331535,975013497367406858,419657490708916425,4196908253710005750,1515758937259039410,1672169788986552842,3235331352118353978,3841679610069359440,939050925789541941,5029698172048524765,439863984632315221,543831791705872058,1238840926550965230,2466253131695788128,764017893391536060,1237475281407715932,3222686994631919216,1545161278240955592,1505314244608453026,6987220018330944015,48369302477115534,483731409155251860,130879499953899465,1308898850411899350,2448316035667939275,509016420147780965,2908896019266618200,4659477895368813861,352156166147268725,626340027520572065,4251922153130026512,5180713415504476488,3648135364884663104,2590815973985835102,3193189192285858290,6295996331027429328,236185701135829449,430485290050406344,1767079761977579408,4988871696304299780,3567920655050818675,1869032080004544945,3359493371181943764,1338974967946428268,3590048896955837720,2504739797742572613,3401309394159518416,6944264103805557264,7600857178341343848,5610765306530172565,1127253611224886136,7077231507851580432,434657072215529889,481966800969791403,2855171538359306910,3254277903716152348,1195384609571928858,694114226032329648,1326925178758942511,1856585964881045610,2303178173968532868,3681250073314569260,2473021815282068215,645481015281457110,648235366629112830,675321277642952418,472871017870872741,4866271842598277896,548792735595404776,2423157876544034430,2319609697002221988,2861867475125897847,1504039932995412666,1482066727494987522,720710974360013240,3332917487911263372,4662517834489649968,93268849499630652,1399143429731658420,1757188674174067065,346524449949137664,433189826943405120,4097988542745876132,5411721931030845856,948904191694769730,1529355025238362234,860642728884601149,5101341073580952036,1490819389967262248,1999017327483369105,7603870833135665532,2760301530390396544,111341907255172529,430309455324641109,3250316619989617885,3051122318982928568,1672608100909397778,1802047952482251738,922884800340742090,4376923640949725775,171649015261879293,762944795881401720,4683759334270342485,2522883908523141508,2893335846018717480,8447792341331188188,3885411349952121558,649330938656237552,1999487505057029694,2513094136702413990,1819938096640083972,238232089136368362,1318359428015394222,3559218555508033264,1132962445928273625,2903288205902065164,2174381687603316947,953850385666979805,4679315378423712915,3053921007028209225,550947015455978376,7294639466872866546,2946894119190615564,2502284708269036803,3288141729374681075,1483299069065185376,4262054833268572893,1771394201993656604,4682010810924950768,31960695218171460,319632169011538760,5627708340131125863,415125979136032992,1036116642142439568,5796570161385181890,3006915971682049590,870436632265925110,6140511775749333576,2584744479774305523,827693258462861790,488169943096961924,13315891815105645,532677670665341800,2863135333870037944,657249208105627815,1457290539686296816,3276446597212036353,784149341341156518,143345798842475772,4300712922375948600,5287004347662087192,250044639260726418,3750965171308080270,269366761378786632,744375890032061410,5584894647512523309,2138962780079464392,1920814771511122593,552864962994779108,3920429767366863450,5466297462331177664,25529303311662956,510626283230172720,4468331886148648700,4776418382331053970,1718258616005170980,786579275422587916,151017860023224240,1208238011084983680,744959885258256120,6518912209972376130,2644716089639573415,2045872798901898325,1497768891888411216,5376419982014713830,1567055228619322593,5354071345248112739,6509136651476238792,1621470237887796370,1879064736480266790,807088847326023516,64227976182878524,5138642388535670720,4495418393347939344,2203289637839127225,4039513766735594408,818677743793783875,2640786561948547108,5906388789866378144,3790338640384771545,3165624119838838650,3107835284052979080,4760417676832017255,3609219404195857635,1122677633785255455,4044224989332334095,1060997638425964824,2089769180520853122,836580306726765657,433996867212348410,1922225763416805864,716984866376952936,4070810593477849185,628236773636171788,1028232578007272325,198566948421471632,42492621750709191,1274878824548366430,3939668591132877327,923672637393270140,702501209014879392,1544689063092038841,5160721778293755919,2590150265160273705,1419439944940379375,4401106196958519480,2900285331775186968,4260124857547298065,1367091971959304228,5745032400151508580,3786882964094134535,2860174902148689956,582286405100868378,5709288105987902616,2085084174349610385,178709804906349402,2680857508494834270,454465560467755692,779060222733071265,4621797993429277240,874726180005889495,4512865231781083530,399397962577222686,70989732629337352,3194788639147691400,1821313234162202487,1111080568951624872,7837312839156071073,2577369613891198542,2966419504805809360,1641234541485399903,4512023619098027000,6595911214646029515,916392283211575302,1311261199905758740,2665291997798065352,3091173697369346568,855215688858581169,4878884419231113998,383915697256980540,5759186959507330260,6075952642136765784,2878067213189247036,1276694600136741764,1957273705125269320,1926979619666956464,887440608104479268,186239764055248878,310423932737108970,779999839163856325,2308869458465277732,1715436120375940710,3566919432720657830,757345415685562203,1674771649679702880,666561171258904425,765933701568792312,4654985477136619734,6119900658744852077,1749235325061485780,5264778049806830184,3621209418054573824,1594178851526460184,100270861966993584,1002787135999266400,1617132180420609498,940354444181470350,6887554093912667742,3816993455280669755,2976027337653353340,2198134659338657004,5158395174653421075,2427005194171417305,1066193375449676370,1141325882702063870,5166100301706008424,2194738655093961888,2811761297204702275,2794614112515118260,546658104836204310,7289344995514884880,1468540081642994658,1908072101598649456,828764576640513932,2020498551891931200,296723015911893156,24329295396699069,173794272807551850,1738078645627216500,3630899353941653955,1029881998449025620,1205556900272357888,445638385376488888,127964931767379663,2641087085906159145,6734181478944658592,2228898600263473659,524556810542440839,2190718155709169975,1188597215832090855,2845483299870811932,1444933177186924873,724218202848925152,2716030487615962680,1534903856897073705,5029069289449376451,548803023694316518,3078535808985756496,6282531509065534488,7532908674542713080,4232870357668372296,1413878662525557660,4575379014600805768,1561734945539727410,2683261172949675705,483015811957526763,4293809168947797040,3418677188547440280,642189624600287764,986113426261934060,488874747959126616,8420561344837168812,3686519924430779704,654381120987021582,4288663839886543110,1170132589018223028,6731267007781630209,5738232553568826104,752774105611049343,3188715321344738760,2956629309539669400,2185879601858771943,362247130778075229,3274211842504100195,3675889989785536080,951059514356493990,6389123984542344899,221518513069560533,1179891621216894480,380433317369283810,7515875929544644131,1729013841838426344,2903018864175629184,1976487585587025957,3887326448040478680,3228008451377055948,1715586137274234620,1638806357992959990,306482760221216379,467247014666299575,7476535011419057520,2150779853381787765,1694061049097638190,831684838361058978,1170286322204609220,7677014741862610344,5418399145652611704,1653171526439444664,2019775518962000544,2748346630797889905,8571148122282498441,4207335898750389251,61690065297587772,4318640970242966360,439565463454727260,1286694216626608476,1126673944400224038,5559572954511582633,902981787765786912,1640776729169127060,750518838255968186,3360630048209606034,1919725868458317525,3561822363164174944,965488847845373640,2572892504125026276,3179896947421018080,2828545242578802054,489838865351840704,1399648549920070400,96503522378555622,4342996487282111010,3414297168224547072,2364332429528170656,4725385351480474625,1534876148329575231,1346985739767381885,1006585221991813214,590021371584177255,5245042423724226000,3567442963017601188,1954563192695625610,4972955423088971538,674792382568251668,1960885491716512325,939796841195344929,451166063594847823,2675104069391887390,1894996387057079175,6456644720944394120,1040368973123381706,1453486255276608243,3102380180712780985,710919918952459404,2282036944068656460,2457275684482820487,928028945585584104,330210935025750294,634142725815406078,1668900735066531735,6014577618756307251,1260559381223811532,1323365262531808808,2899939700243938221,235718841293626715,2562646581517062292,1348114570445869062,1532661524887204184,1385602868746671922,5717151138775907880,565088190903874397,1341604528153546730,6583114866475486548,341331117278084051,2971981992021643055,1822559256635167134,4887017550038292112,1168549757320284018,301844156166090153,85523912279949645,1710611030749127940,7717364162365469886,3599258770182517656,102223700413342188,511158172195827900,5654447065496858824,789814313900363061,1755279122898796380,2393171591517444012,995382182472925635,3905716609558080828,7075687721802052977,6148690703995267813,2406229781439529422,344881860147825660,2682622543185357080,2515500777254301963,1202181665440132218,29621005545061504,1184932111056153600,4346388408297019887,5015960668334651028,1490241304731162384,3650757420110148045,2803297162830178815,712865460597358374,1515109715425478296,6266008254234577359,5762372384781042444,2453181152055617780,138694877591312888,1939283034082799535,7048282775335929528,4897199221112168364,1003051631817802440,4706609780907426161,2180183812039899456,1891344734242847793,4215880874281411056,197944589077151595,282799891207475010,828269673847135814,848776214231050908,5804505278614166922,2620262900249398260,7288485557489488208,864473943620715144,641897334155498056,802433801759147930,121249429478207640,1818882267351127560,39278163011175708,1178436120180908040,6743159121739543951,1249997134970998190,1708817729103983316,2195423067960094470,3090647779069818944,6877879939847576472,1174130745193936980,863876866242399455,5017978358379637008,526701817955289284,5673198507142429314,293504176621768230,7452810837802696048,2396263896426437224,3966336254556154416,898011205380025687,2890969100258128470,5555855567706202593,1438716314842652088,4174246820479494829,3805606349889701580,4427721951127636455,5457814953971106372,72883629837090723,2186677960962267990,539199095542304302,4142194996225808160,6203488081069273246,838218000492930516,357614719083562416,566736027161708429,2605058466889095700,4435594238205681732,1829943199579300216,474274544985384812,1639449472325005377,5726397577799424085,453071102571093402,3039024560056770402,412167972335534145,4121998158532472550,1692067835392810560,2479450155650767740,694718624360834208,732615719710846197,2367800670934512328,4755195750985187300,4231768810715403903,2735309115291856952,7295252424797929338,545746292966316192,6140119867872510600,3966342003934821590,1796407907698241958,2826019590881483838,748553880381909014,5091242442862679355,472999599614412442,354378173305712884,4220951160586963848,2239328000976968295,4293596358593288640,5237290704427832484,2209483872585599645,791682926161103476,7527094202126707032,710790637641542890,1607785219541526297,1644055699508526975,1348001835946361405,2734186416727872144,3190129787613987720,5583151452383662146,246881548147070083,4101478501020701976,1061334304026220664,819267863257008675,3586758027082809780,250788451915417698,1235038686542652485,3192350837848287192,1064213649677932040,570315539641016670,2511341845764225732,624858557864836832,816338767978940312,103418945889812040,646418228845877650,570412076545572714,5856653198374296108,1521045692318187920,165930039220343985,921904580738215950,835832848105972517,1467020380205200430,5506316186846293116,924642865878460605,133217251491217201,951625093182932850,6263686504000511369,879515904482838274,5807344671823943520,1386122808611278927,971432766093181577,1902960025321100949,1157540917146354992,1751637254143341020,2055639260652012972,6375652742513493936,904650115083608299,7773482065592662992,4423649170609218165,1049674241868948192,1815129824533783902,4008596372620439500,933813999258301777,749133017003849985,3341353417679662392,2933945721102890032,1322297838849559845,5619301396639380504,1459081930666371440,2440863334837943109,53242267164103486,3727245402154645420,2448196482073674285,5592499710601178080,6486204544520555246,1353415999746512424,2723937406775544348,1488812445631747416,1835679858486106425,3190975303860267545,1260323616782176768,702827036294207166,480258644062334019,3537151364333355930,6704133848665899960,1439437273525875530,855709305768819834,2317912793711286420,4710293802747243360,5800808840110737845,574416062058687858,7222282017881696296,6518871170565746398,406499808983597790,48146263548220296,722249440673839560,7223049295511907600,8445470226001804809,1083751182888504580,4105064549009066256,6890463749043256158,1133279077761403538,3010710509552530125,7654448048595134200,4058597349277222023,1371643697731135554,2078004813791570272,901442439769449795,1921285087458875985,1435878229531082112,765194290647182901,850281148723638990,787476763025645448,3585221708033364660,3411085538681060136,2500649810018957976,671769427796298408,422387281414606572,209332990499495525,1256094325337331090,519796731121530432,855526234452632541,3291940008276701264,227814188778401280,871560921881779451,2074095728734133313,1375584900863707920,2886458150737802344,111971927975149835,419065289807334372,195761331164535702,2610351256485053360,1956349175200706691,572750035007809440,2082783920520047615,830907293838875184,69389803357693551,2081853698456405070,2254952217628336080,6298172279722665968,2286155711632162677,1527873422954512437,26093358421142650,130476791575088750,288661144899310173,6834107000476122592,412388181423432976,233744749164703248,584406649211544200,6092267008245113720,3494391301833309213,4626810992572744590,617173557755451822,82555560652948635,117945549256172530,1299858393108303976,5470254048758732703,992428877041968545,5385615518486227115,3436197689318572566,3200847135242477875,2375989394046383776,1869992794375584972,1531989839139685160,4486846029013060315,1663276113358368612,1041917103650122056,1437325939052868026,121290120362288370,4851976167920751280,5845639097777925210,5208173105286502827,2781445350629477340,3373397046790275120,1714716884760889824,7387526908242192906,296962232055835980,4751759248124109120,5075248681164259650,1231701681783398056,179638861733616408,449131508331762020,1244965438717520796,329491094507192790,2929033736117526880,5430311710912134189,4683721406636355225,960716052840561635,901943742538840955,7761789251299386666,2799239300168452776,4690230005164523744,1526999786221913370,1981626498427732540,7866292391710488018,1738632696829148988,2083769791964189235,6595262858251779264,488329966089365040,1627890956935850080,4980398520732210795,5430020192779556871,2450701897767828844,16750568660542360,215380909422432720,717991216866141600,702817858059852588,451006783768246059,2979426779214301990,1200899738085345704,5554808711189016696,6523737056655870336,2009489879315448902,1707902711536567290,2568028642533795798,3622015601628259266,3712232598377631180,336864241914056228,842224905523757450,1232333669355318420,3785337988782664626,587076384418774040,911730849234309378,2486510573882425275,2650882260854105526,1970333106993717228,3461454772959372816,1418633307365512992,2871524662734513690,856280712213168963,1803959241121662813,8834062139233665003,1217528635238361454,972378916472576725,2577584055758420085,273364697330073405,1171652358284460450,5012590999068966654,166667217998639690,5145481523076341064,2321515080370253376,1709149331451949948,2844894436539102752,1938440170022845260,750452075177182682,2019090786894412614,2343408040719611928,4405029806652290380,1232393841675793280,64278721170349032,1285672420710966560,582661969484232857,5631344504181265560,3565894725299997520,5019934686130048608,6136207020526613652,6019903365306066558,7278840665181805653,1825065598688874870,6472315504433726598,97919323629913365,1370974971964580010,6532922910600698521,208126676614006190,15146244560491863,302947965178161940,1956530210024428908,3153979959296273688,3521990815890886675,7998983625973161132,5441241837987765888,3226952807601406310,2080740129808165966,920173139816814810,5949903331202977704,1358856341396860786,5721976859792092848,397486914795729316,8648330547759188895,1477368381851852508,613252462917771321,6989625570743150615,2972735067634210788,1944370372025589480,1881948103892398180,4777924884561309327,662413539882260732,1841830533488475992,4456435417845284880,841891784752008892,1788959721558787344,5761247614761977622,1412078172805948348,1787864089539000460,716713818580961364,2999247921075002466,3547431968010486312,1288182976632173928,2176507368967991440,3985425789168104916,4253416903250232858,4900365490061080384,1966482160241504270,575627875928389695,5519276231926460715,2967422673785966655,2530076051378907492,1216857375216149344,1476545509313632215,6446861098659304656,6840443705718223432,951850476853056858,680968336716996792,7661475910364549850,2220798119668726752,717102613451506794,4968918869916876010,2013623887083189261,1601591002011456840,948564362189034725,1734657465882398854,3470140034359226448,217602264126485312,694981927487977260,1025073204499304904,753310634508691371,900798230099421568,382366157506441812,4393451546715663090,433750126079829484,322386936039372222,537352351323467870,219516495158129965,1067272811382523680,2728375032039356907,1939044800169490968,3736761345987550857,108700194004853128,2445939974820417300,3930334229858537916,1447998671833389768,1576527969243266703,777310971872040840,971712434510411750,3883158419753154213,374692010424312276,6732987573093023576,481250472796956222,4577237043536511240,1682737153438201335,896179872733797970,351758574447779178,1682028653762283036,526984850464128490,2258677763438424660,2706420695460000111,6592871881359658888,988344335712416856,405211681318080610,993215454766394043,3811402589245222698,307800353075965704,3541208593841293081,5556082133571834420,1987467724396710728,5732045215927512867,504459941196524976,1296074991268945306,1950603626606410160,4315369910810494356,5938079137210320612,1184242008775378346,3757925495877728175,1666614452918331210,3547792088671187580,3562493468410775448,5058270642258632608,1051909356041517762,268783905924464310,2475665777717972504,3076601111949184992,8492720099958059067,1114982737247023353,1020435109637917775,8048559169316447544,4476970897253029398,865608401761508556,281414918335681548,5628724429568631600,255190325076482348,5742216924209658270,503110685159840886,2566323101084980212,1618659638467583040,1975478299291872206,2778934436934084815,1136439165399089445,1360992418146194358,4713317722560877440,5691526114480874760,897692983021310072,2749245167537795104,4588074817006989126,2017346624174657580,505863054001547558,3650440030339165632,2083392023302620140,60206457685891956,1806330322597735800,4851355331502582315,2223054559321594398,4159102051839536487,3781377277207917775,2724570385726369815,2858749141589007588,1547362415795267944,8071973437419623763,2007610758555363342,4201387514052113070,4142135288730768576,4107809791256078352,1859203522215760166,2979747769034242242,1182265012100341890,6491862904351769415,7877688274013711776,4029007161919489464,5300011561813366932,2633920058121087700,606587060186210040,1516582205891225900,1252019869176011516,28262462855926818,423968962636302450,2995691300488908504,1256071915571157882,186564648857768928,3265127900924848560,1016128956443150040,6467708611942603844,7404108312689289728,5642631467094146256,99139008009593694,2478662304923057250,5593415489474565144,2852113187321957876,7135361665311912736,1802138423526401472,4846274957372615550,5581579886606179897,4160231555996882394,6236882570820639888,2754663787227495032,5159853129835579440,1661076988182976624,1035979652174121417,1990324934762220486,1172506540607032434,1318362466757131450,3125574669689372052,350375425274676191,2667250046632523597,6186836272795549191,3767239223957956080,63653372312037676,2864617755443794980,235952343847298324,2949626687231960950,691978702620105525,670574225815183888,3192294888059827774,1968235784313565440,2433582855119236497,3275994091257877740,896497000487219631,5660070981264867474,36408803027045202,2548808285165038260,514441363579489065,4875850731084430610,1110177750822954759,5158590108483092139,518981455400166105,4077270366502264680,4852433455737179622,7090601414027936211,2891679170982840495,3411677031961188450,1883930871905385100,1074816968781391644,790649805200270075,4304545628617129816,327883798721354190,2980174027549524025,5942926216548658760,370690637118155667,959925573408605535,7009389851662358984,822385204750386180,7842385513752871992,814400776172764086,4699507381985337255,16093275958354113,143062108771047600,357682189910117400,1488189713153556494,649017646011728995,760575246969199329,446068609572163760,2537652066012648108,5841105131416567152,8259174752724948496,3678947131459351028,6699387164912815920,122387764463511156,407989902040427880,2203272658719719139,104283468783620991,347637706449906450,679969409142396438,701901422740796376,7896984804109353330,408790086200756844,2851832577754601745,559940867125472802,8399744483503004370,6754562038472375092,234476609516954557,1262121862349238300,3885823731089641734,264482618620915056,552035102112757554,6005122037586165564,785891637486497460,5526925540859188683,4548274778327240072,3159307219642793625,2606141109778750896,583922630996782325,966470364133284664,1126830877674405309,3938184472120536379,3506394152190988305,3769847393551545825,1453466951129138407,1028941067357172317,2583327376652651019,918836380201400056,1814389850985551190,2904687401392819989,251111387583478753,830331428424225888,2015055431048682198,2568007670226361380,261349062501706536,2067682206137777736,3902984847140860512,6164416114657983828,558149900348832330,676856382431916090,952823775530421684,284527478141445084,1495240300274997932,802037899790697810,1438693152008493015,3117047017668010016,1793838421938488916,575243694505258404,3888107355851981550,2152011257231621105,318269996731064394,79358951732260179,113378434742177130,588485409359716785,2522269484247927090,8535360780293196,85360008769657560,5975648692927762800,135731180275490840,614282177678286546,970938705891214364,1281225711294524815,461626055949676836,1242769978606221060,2972635178115303177,1811286531398648292,975782044796582034,200286044682475758,8012042236140217200,3893839950479161809,2766161164765197285,7770460277968775232,1260679361913661085,3769176288505041540,8271405516667016232,1752474551862888606,1400549673931245464,2772525735549374952,1242438643736807660,5013168121761789980,2798738563337452365,1351477398401128260,445387909520955678,1105023110450299740,1229575321267671651,704347126543995817,4377614263963849512,2945102873347940034,344731692273794245,1738005790304915154,2374391912318754372,1091356623057079598,771321870499614300,2626493938242207015,1988377554910927644,1084192259226790077,3966196093941627896,3725254441989812110,310601864459684340,4659376620462187860,3525203071534277151,4538643061169050146,189347883814943291,7558930928588506695,5113568026590098505,5942627727565034984,204038841872057516,4591217359573277490,6196401658009366440,2513794587498046704,5135487224675569005,6259298270759261464,443565753763543701,1307269657847206620,209197477249270038,6276393598482080460,645706203242104422,513942959797123992,2070282760450596495,952421665294490580,1699811906616315314,116851378290527772,4090103948291284980,3401162492664453150,392051492857538515,6789469503316211379,466642808463409737,1999841445264272412,4662804288052569420,100767283027298720,307924954827122952,62435758154965344,94111876724375874,22424402119295248,504062849399591124,272445617886850970,38578058101163854,191183548226204288,159776786741394432,242112041524430448,37400230163047410,127177305816160292,22976929639372552,6278305197125640,25148054430854880,11810219981321632,4003505400253072,240542155570265040,3910593752314002,17404361407840160,304995368046132400,134506721716018248,243526150152640750,105005870096001728,190944307021867008,176810436912343020,38391670723411110,439359957710116800,136217093243268180,241054859336337048,52886748554700116,4748813070082624,332866969743504560,25150100956307496,76184807879194266,158145950214539072,109095527340630740,379062613724100894,9671954791867698,189512721802809160,25378930526059456,123970827168909448,117941008850441848,57128284274792116,341727478205677452,213111397531748664,234425955939066232,151907865301742064,178623664061465952,295771045760087840,107969500180051228,1509970509827444,136076574437674920,281613463721099172,113922771068790450,18978624245302176,24444898416700928,91788489280179660,4124649679911670,82600813505165200,399281809296858688,99938373340449336,42855926254168328,192184110552121152,48345330867348360,236153989869763392,27622344189077076,159731947856599040,54754151698870320,28857436760157488,195136051948577748,65345582690589136,77516933160300480,18285647581187124,268503014389800258,103110741008334608,106270190158299440,242685975500785314,175065860600163488,98370371100514128,156493961189808840,247864853202516960,359699192319408684,269148442431230012,9971016117497552,149019761210697464,537462345526770510,199672191489411408,57341160992924640,13424965929902130,26883684667777980,84757267648111520,43457497940883624,502523980153522236,474433294016756664,104152309754429440,127478533508849096,221115106096824576,178406647752998848,6020838593541792,37676970318846600,34802576317759218,104453325450040364,54374952332873360,268802829464561952,572221337925559824,175221300334547922,53100494501690412,177219330144251880,22285429563751516,282032474433398676,163505356489743408,157384933308313632,6891543136129312,8249366052995004,165188530897215840,209480128386696504,188510575279389930,463701707991583110,294779708955212520,8509815224918016,170402390334849120,117158428446472182,36397309736021728,36081437742556900,65045405785387860,124641493263611848,123298002235706752,134052794922739728,204029555259593488,238489223937265410,56032135231315568,61193000983400832,71428663524676738,249934977197840074,49582577979828880,386879830852571264,121160657545819318,119230627541970264,509115142497981600,208524210231998664,51570078822399880,371919378299815332,96395864261165856,79051621949326272,494641641088030384,49440911939741896,168781883130515916,45476338635592144,148275218648753196,353931608981903504,180551353658798080,44221078162365760,17477403266080562,38895347649420024,292826069662162200,78497053133505804,395910922386278898,30263443199864264,204654484132677376,167727197711527776,148163394173950236,68622968292544770,137300432998769768,135587857154693896,234029369120089736,135250193389422192,62230129403781248,1327828640970592,33233748691358900,598892081734056600,125118077237555532,6607979759037888,51454019635282880,7927949952161204,238109173003940160,48379794682525880,65167908246174272,91743832918600504,136879939542338132,444497071009877376,389927507959475052,109666768109239668,211533334023099840,2070925026503424,82930237115148480,265622735276544688,348447754322409896,15978678893480940,95979508050344220,146862272733801856,12702056359429920,168330998215043016,510477680806072144,483861174646605812,453513561033434076,14639549875469556,195410833724806960,59902515445827124,80497909632544608,107128832690942176,203262749738037132,103531622270757576,103318894379006516,15016391380962816,150329290410324480,123408523435335440,9947328823225664,81785273619554952,278582121083796530,151257510131469066,208174480625351808,40931755445515788,138534297506521590,178535769242494664,330311348727613272,21087304178510080,105551158807898800,89645726997675124,38222881214130368,89552947971646544,20345865995290790,122207223560176380,201224361753833600,279469939339826880,220148953732058576,69450649691325364,261576505298704440,25458607315683152,446003939516278780,135913272690283704,17315945842516512,99582114713849216,402453957463344752,343828268085988752,209678550513716208,20724764737681004,177829967846463240,217788492545968386,53711640594604688,123028987065625368,247619709376388184,136912350882393772,45600761097409928,37992993824624104,434664113371622080,49658716618677786,44619557580478272,366969446050785920,436363457188830704,65816744983554168,52996585512958528,511364452820760468,150149613842731672,575065956502235744,140525010278559616,377284976670609792,133592860758419748,506118850026492458,72937082318173256,474203556487627712,173049763353415326,164753294832893416,28882574617986600,294150111351020880,356988220899276694,342772878442790432,112647567618144608,303969034613228712,264988481990445552,55894674199529490,109650827043202272,28138430349534624,295402472436321252,54973869745984944,42234918853577268,239336119536283420,31068096825542748,309469154706034488,437125957627374288,26962892610993504,106672420438424334,258943774752393528,365763042584418420,75237485510162300,360972121174876530,48186646331660802,28804718275407872,288338425662909440,366264933379028544,64140853557476470,86205498629424064,86627979447545796,362906791033117114,176277013071371968,134987693652435720,323242843100294880,188871687704129256,295754742528210472,121072728335218540,10535005846326444,281213945529052640,98193218594844144,49091606831062656,11745376626165072,78380377265487440,179705845003187460,351373592767341312,348786520027312880,388767208867675232,293639587022722864,20653969007185168,22792583170196032,334165936038026240,161590649248606032,69435514276995112,47859687087575728,593464466463938160,91361878522789602,396072940041449216,16567718775620032,4874252358215478,113843821176628340,569372701271263428,643053827979263904,560668043147271312,95953892186617976,142751354224638640,536735253432758688,46866309492462268,352687087311262560,98670805394464576,1625156428192304,8133649234430440,244245495770379600,293044273116298816,440476493580526368,445763148113339856,164952525860011904,729135375262792092,131343838707714568,77148367408619622,178740245253615066,25810907111961888,516712795879687680,512634794907615856,175258010478109146,10867346008092756,84604494036349560,149824900606348408,162041433641224816,212286227345620992,114608154711035328,235131440944612680,408851694489702320,15096646656117952,679992862353819840,580915566899459792,580108269546725648,307631487192605856,47698455689687712,341024628944929800,43628937374694112,249542946672033280,94283106080394132,60183594846038118,41349340337023810,579433821702040480,63222260252251736,148045307804784136,148409968886617620,41275333436307588,502069401227474696,241114662425915544,16313612607200208,108858702939272960,92300398818206208,545801356354080176,656520018282482544,48211411008557628,473464925350468380,81095075122543808,45937736675812206,134075279566266688,200489927456659512,256773030280171848,111730765284827466,53171088165695696,37296380189606232,62217798624175060,91428672531858372,196961918236959288,388119639835620992,252311128511824750,139107970163333220,601131646877460524,519089282569096148,304307328853604412,427111179133535680,202382351905135344,62133118901663192,24748859895865686,660569551502317920,252369904605752052,73951212405120064,18160814319555544,408988473471448740,127195232650383240,319404636375042624,6026817995280784,120645165751003840,73004755917159416,11190443730177768,163694351954254898,169978312969629912,172126601904190080,701856261950415192,69026703243602236,67753629233463498,326717200474236264,39783726658354304,30870527245037178,68279412154445310,283579046774908464,25566879853374480,537198078021611104,305130208776885408,301601184190472100,518728241588558592,59142569654925582,121557386851695984,670014839150470528,27043223214645608,239235777474498,1330262653918300,10651501477323200,213218039180384000,771205838790454236,168505307990412264,353159540452118688,400293458574839424,572243248734805648,272235905145126768,445677270245791780,216912613845928884,427350010678949110,239261825742648898,68106213840497056,125329165109627544,312979552073387688,256927921534004280,5292949360673968,79463361671153040,81487324930428908,160918579368908592,278124113687099392,71807175351442928,221359675023825702,828903639897212,8296210442825360,332135386658627200,457323429060847440,413390247310855890,519752609723957952,295252573925974392,100072866042586676,109664828085317430,783722503478738844,103446402466774668,395129572115904276,20829159827926086,555920192195231360,126619665666030432,146398446361160988,104894217575239950,45669380265595744,288744146664351224,265571503320283216,13461427628992728,314367334391362560,441692691668301504,235384187098341786,161385791542892980,161718919089445328,27499674299043608,605498429440777964,125812562931980752,251496088035309728,431509900274141248,146570259682656516,75791672573331950,511802740916158284,283585764282952740,455231928612968930,221902207995365912,238210187723829360,131009467632610112,83656367072374172,222115524086358216,504318162690835416,230187291457411704,16733278250241168,111648372075634240,614239066220059056,106907838919303296,284451130334113430,713310598713432720,27279120200081388,322454035678124672,109642773620962608,613544845024390384,554840275641091392,340819481873704848,769444842373986870,410962118357070180,388085964964552064,3901398147387780,26030786121649400,133039521241277416,291402578091249352,251884815663279456,171239859315048344,470005997258690256,9556985750527104,143472436024337280,618730128679960808,52711692981472746,117232999784541760,292922666541612360,192561939440199276,655604054381215632,143397283395776032,322119926621311780,444495545492389952,517357203132537040,513542525181551424,473189410755023040,4508444836654864,101522342594657880,56855369787407568,347947177591933408,119776272727844292,31173295320054144,272986857512248320,372223809328138464,116609795377924842,182585289651258876,158254513705814304,492887097552396820,547483820439335628,17166693777771214,288659473293085984,169316960794454928,339803592619779904,204600476725230144,448283933852315456,303017586293976500,11599941837549184,116092111342708480,397620548129338800,466778136973495960,212383561045823258,18780660937010574,20884011506645720,22938403392164952,76522114219429320,479586193847209456,572147642430536400,362675046723199488,444441510230163012,806167293209706096,86528375584339168,166217456278483488,237472254191268950,208194380411936724,425832490289513280,352917346154722272,436389419480765230,177185401690440156,490078719932182920,8775233570362840,122949722996958760,368297900844754410,21768129697745368,66451209634480320,183873617722418556,712697398688544024,481230891714567540,79608323743464792,812780562007976454,571930918250470156,586753012803159072,52391353605112488,55885520492300580,93214945627444900,4419794597065484,353858039960035520,176273219215322208,261638565092589804,179796428936061824,213546823719500544,135781470005886474,152264491834771632,278193956630346288,72727594101223152,398979082007528,5989297255498920,9989847326694400,799802620222144000,557786920542493122,295273863596530710,45014254285791924,129580645093408352,10390076133891922,935823053511558540,879548197118647896,137721884994124096,148982837867229730,705483654740687424,251132718650128896,723669005278257556,262206646887483822,192554824293685896,19821160853899328,148771727299290480,592186339421834752,7681657769472492,38437425283300920,67249938241686612,75393085941495504,118708397158937196,367805212968153824,284805702699413504,451896897818703864,87542827123812786,584058996341391120,48441556745264172,165200523732542646,108293464600601460,147875773681656384,496658924894237280,97314522535366182,7685549548085292,76913121584011440,254361325498542864,603237053334974460,286396822647242258,612214176772940392,95861102029470912,419192512394542096,752847467345555232,725113160977218192,365235360409099908,818237599541726364,46711779903402936,35585532280425664,223786036600203896,725697609247711968,572269735708246494,284619409024360620,329867684701560992,595096793194642938,63118904451435312,526379623039515200,602488542711994624,707243051929802752,94268128666228482,482969327285915120,850940968247572608,660986495641119024,159862099866674872,70249427525794944,47008895105940432,49168213441936584,163560653555953626,858437564196788032,347769202517427376,101916081639562414,284141459186205894,576917917477476864,494569268089475328,272467697395942510,314366578398765204,510355010765057364,127932922674615520,148967323999417518,220363222088883216,436637222330711552,677795517988494472,250198660508034348,177461500553620926,339077710181164500,309470014539520212,656179700018785092,472656145107287790,282799457580152240,29126270012441280,582945734827642200,728231126012850888,29224787423376524,207889821135238176,140987099430746136,104981355926136396,24540202416181920,392925184592453760,305057415602251088,699446575543217446,308346030910545048,74188207016664624,439798223406746652,177654440385699288,60567759124016880,77966126861098304,313406933673094212,186533546584427988,684319763224770176,461641224835287364,571359124734984300,389851210520050656,246634640626766336,13024329790724168,119478590851177922,402199416520987134,47026031983256760,78432230698029800,310035633865690548,66970060062256284,893565265674202240,279833870846594208,88629470887788944,861916355116097008,309107563716168744,353626010518257648,74536672237388120,432965565787308372,143053562026665984,57869931485352672,60446957016561724,585442069734278784,132101290484285976,673848669404539356,177279446146887952,493222176996382630,334265125786455760,373679340747410880,26567164099781416,123565723935853122,61288906860752012,180655021075122300,45028201302334818,207603907266095796,574453746311343360,323636030695603944,184925869808965230,111751521308076630,322974853270109628,65214947337959848,657856080800201808,21034154621961824,105243521647615360,22186338464815616,55504161798020740,802568921457047472,682715146723918092,117509382167529184,35391547409246910,354159146535650100,214434011267746080,390137611590677160,468348299903981952,467283680589912696,680598862106177304,157615457456055816,111911600681631712,628812576338781016,302645701181873568,153000583745986368,39274400857934168,118391526320512566,328944266365058848,57429708472366868,716277121530853148,78579946035282536,307296318342613376,411392672880760144,801169925640895888,78868233390833614,155552989471235584,132737131062637328,493242847276819010,222070728082670460,328374047319924672,484358952833122464,560836041302435724,27888101026795590,325077849529836416,194912744543417072,80779339650755424,909380255728647240,164367495955074048,69781547429809824,299351423127325710,362368719293965164,346550375842116256,220961142607042068,101388758592011136,146975636267818518,57085614680155488,190412843770581120,661751389835756004,178507163358015066,233905922734379028,113385488668890464,677126881435030848,3491628038783948,157228036790395680,107812810836264752,277348198949376540,212370184853852928,410497738808714160,171261086326506024,258022953471406032,21821019536973148,436709923583619520,1080739262145049344,748465321069416678,481195167110046940,883771110700265952,8576392651831116,171641214841471560,27153823956255732,407576204521260480,432859495913387480,41403347179762792,207153118400653880,455542228688672384,398639190400823120,311036705715973460,63583115116882270,181785346524325600,347458118537175184,40066976886098592,300699298509961680,45816383297780080,275078261863892640,109641895975410164,276352310421222420,297229934653658240,201811877795413952,21188976857614496,707050056780306928,36595138144162104,59286990365738852,781615383007687648,988841765786551686,214060028160826976,77953374373963648,34774672248813452,397557710295334992,991473967068634592,720428791680651144,80692649048973914,358592010595473552,397047453968564224,119834356616980824,678743618111694126,40225944821947968,452833906523554080,27744770920903344,61694783453601760,58154841256466052,241694123250677952,160933464054576096,173933255120905280,193854379135146968,180519823565165144,45958969266608424,208237769512940804,242370422702552004,755967940461224192,504863388537251136,5273470349897050,37691728346052500,75431623865810000,614292489578620300,546912896489952924,131292152829424210,37967784660661376,189959851861749760,125731105759667788,364704134883982452,295522519642378896,832877993610817120,99390490694120528,607196867465634410,69686914484214944,121062653994616240,479751830043136340,134980397823137076,336052853387187300,827896105242639104,100866242101915722,403765460859602520,121548811564947312,128484111481838496,86193066753899126,280490406250901208,75704160767272888,976884401726043904,132458137695227596,60836256118953810,594788409839893888,604301620150453680,640240915107611868,111807944760825828,345444816045580536,481777603820024512,174967897225771832,402393775572672976,694022090789788656,738500978532140928,67241427191728674,127811994753670450,631241900825353020,483643963082786940,180044796004481226,407069797533850220,319483884543619968,571952156113449888,43709636152796614,282402896959150548,160841420779969336,23135608685789152,505785170165500470,694641026326788478,79430832028369912,11291345923323136,564916460852497600,169122074098797664,489363684408892096,88450998681713024,99124231166640196,371840304275868870,707106171052009600,388166687816672128,466490433343285278,622320877255807590,248591096454643152,765147949638870208,320207126706575946,833155615966544928,33493706919226008,186190215376931200,978233491846656972,62562824215028592,97532788833769744,639527452743542356,481928015501586208,128683738299949434,42505743678519168,850633558549879680,12420388130824352,93209680386486480,181424451188635232,221186721382376464,21592551679769644,747434848957249194,292067777178024768,291882863177054240,306697297059809568,557384380757274090,385149332791388864,649984191301477088,80685814583130008,230670410667177440,757458057568286592,39228044383507216,498888640719985776,126504996517180098,59279403849835428,508616052565208608,99269170190327644,265882772558988270,128937498068411592,319914052440991872,637719286058999350,452041609259979718,322010845300194264,1174541620971342492,828163427233764762,333122271861306408,92507811386056704,153292176442167616,339231228079784964,147807556639135848,86927032417277508,114371354542227552,271248382739034792,121501684897422672,228074551021845808,163499789394804576,9851297224874720,39428654749765760,306301884745240020,549149281644942784,6034562610587670,422670361153191900,412146358979578496,348088161187390208,207290994983591728,736204812615400716,672776743137779240,115794933851610428,256641462564609968,660956476435498096,368865017291696208,803161136402347008,841565385732886864,828723179290896342,195155548559990144,73613906291294460,59147301728163516,98636877651949820,23619502502890528,591806824349750352,112308237091111810,260661250910446878,166909053480498368,13791203096659408,137992911753258640,344071202055940460,1083849854521183232,773376161301080176,1228263515348152842,594774778016816490,81525699935107288,611894914211837300,114489809723263116,314135393511399768,285661570822658176,97983088646331000,228018609939658904,13751794802562908,1100783747819396480,983299714236869984,802496795854955236,124981883406692832,33513028838555344,224158791914743552,1827923370706048,109738973442531840,172475002833823824,46150817888551824,1038994286595795180,102233885581476168,545018871256299648,358115820120300032,133944074060893630,382770777103505622,71022615678109368,947514071838669120,238043645047421152,161728572578238840,377354071309409712,1101170936271016192,432315433988744456,281116349284746066,633520565755458304,347838007758627984,132191252118271872,16616062116083598,110837215829725120,1037945551630764608,162151392961674242,540171217615896492,49820939167696976,509329688015093596,36139376684990740,348543358683813486,309549804679781952,183877312969904960,499991628326098272,365424294986177850,710536464716654088,539963721884972140,351681773003418780,140253905667519396,39371158982966496,656558477045973200,54361210916965556,515658076271677224,10411239149358264,138895152537349440,152141761378802270,53147349188525592,236648882458911272,255983433119808960,244249481516231898,480766104147233450,596535637941701472,789888478005391056,65354977829702442,591632192719514736,77832064443624640,252544206610385160,653280690732516882,13681144127802630,136888311509484600,69104775262032636,687137626153084176,272133287162780780,293461685056348120,23800803843507264,79380446121590760,415735981175751060,790922299821538248,686651189737611432,513645773649587576,978405354336971296,302547113122759680,164621246341840288,717956772718632848,96403254385650688,286261105110031332,79915980926288832,280732074336828760,236717535242145048,142856557983861984,88829793682698768,888791216407586940,900776304147162312,123190720488430456,243886424826397504,167440066362375352,649025567343871494,427660744946955264,315995766923895912,345505955727513984,947405714253295094,217002364853352316,95827805866132032,50473422634009784,378759442238836860,760197305734661088,215994987110922240,96034451436150964,263693699257833026,407864017572696720,464528101736635800,70955682650288020,473171584006133376,591221428347994752,1315641486336960312,646063101812842230,534644703015512180,189837011592617112,98835445786562560,295783669951935732,285320704101586812,268756952410158264,2662385593529984,106553574493036160,932852608423584800,991348899244637024,226597826373413964,90723172703315130,504292124287363500,340109484416400096,354756686264579872,980645450684391450,167535635416148502,659394207176900328,465180307285602636,339018231575345710,394770728223945340,161002754465883680,308024938712439936,380005182433663236,395218159721527632,231913455626453952,1032377600415289824,789476352078612132,250214737814741140,281995484694849792,72884454441785184,220872107979252002,126239879086952688,421026297985062720,135529261392249108,449534242180651992,555161739663117256,164736209858661744,863679472283442864,116197259332404860,567221302223242674,423249931279671520,595163909474487584,1099421232662219424,8697742236893346,783215938771348320,664973318318214480,311396220400956894,704068492060461320,272414465063296612,678162501253223552,603725605366901850,603658108030567380,548200825910674752,1359237328780011840,410114769014286474,1309233268376427492,159301819019478408,160889681126392700,111201111708339856,34977287480764092,524937956614194240,123745309525788728,78744371058168452,112551612031924520,411769865930268832,108360808596210296,324169327601260312,126093706851177210,677061740470866048,257723835923073520,268477176793179890,674723868957647982,400216204060191624,805920460590916736,573512695370910764,238305418360056450,26746218173897376,1204213578265502640,710132149156174024,432830685778024660,368032183573339760,730243514646972900,531155252278080144,264177045424230456,781390901042954784,367038441263532288,438365256995303274,126923615736578516,104479150792031808,130667295340729680,186820421996589024,1739777912531496,9670484276966400,135457501629475200,112952505236524806,258480899986746528,110222648975176720,450485963581047044,18740796377634756,31137693150276362,620358988278321824,1286355053470448016,123107996942057508,437338480456234026,142734984672099204,5461461432072708,72857279809650640,226967146811211618,190431894430166688,57367500130688832,573972156756603360,104374671209766048,261071706246692640,321808592757226624,868716681712890024,88724742155258862,138149969081883256,358638192526426368,362695940291286392,117226377201271250,331622175533850260,216647727725382408,454246770532800426,180074805704433052,217640169611388480,964957989717208032,996203576158899552,777873990149396260,511934723281320304,30024325798241928,901191780936196920,47995936065971516,18240650100076656,60833308339663040,145104257103538642,108539198510577324,129661484865443496,56750536455021692,802473140403166518,469826944578712350,424798060910575440,138409449816061328,423367753770391584,794009402002750752,196924737487203792,48879069775945392,407532889442978600,56376917622644840,141013957080893200,764006505926420736,1052372501650409114,293617899663375170,421918524002212304,362935835387288576,103560920026737630,70558526238578736,123799251828894208,952229822580398152,573011377396965216,501237116499404096,284271004685210816,522906153295297152,15926757717803536,717065884531185840,300980493695350976,299769033666022944,100723042557515966,1007737893660274420,433314904473154896,148545513528168576,187834796012144778,743657006474359922,801090081879265728,78563614313435160,272235084871047256,122760028979717616,252367890737722536,123411692072316284,855936769008371022,274174194784623100,474716423975001936,78927323012815872,900827707428330138,155025161037449248,116562696835131624,278935109416989324,338889012928704030,1191699566076523456,17786328795782176,14250260016577752,570294455790998640,808691726715728296,24671836880962812,164560761509898960,13324933444354550,239968044153551700,922417753968346104,314330899226151936,385420370011805688,1193066493974734288,64081414189927464,427421216904177760,644066213968080736,292211189277407712,427123682391692928,626355338470608768,485181491309585964,87691601975250052,216341204842760256,360953579746145568,303012404499787960,767338105898449632,1054025314911033920,951361399606863168,662954689620013266,828993544865844190,141146311253619672,485610695158763524,238381051629412448,1055783030801191056,1254050936006045696,286059187183817696,399357508082837024,24771366973444,867423050723320,3719349719108400,62019535376890000,124099819025260000,146825167339696656,599575506546717792,826883463815667790,300816057710055508,334248565325175792,665687115166956624,475973814811165974,240738786111385602,663509280214186720,308655047319420368,138859187411702264,35252791437049872,117566509166697920,1224514420426024,49004398888783520,490282215438142400,108576164244643256,76650061062685696,560720062956375504,556825395455009940,171802585911975640,82148723914716300,493131182971275900,251393704743427428,605294986271909632,731501490912916464,1097110531709869824,115980143141380128,121108972557191580,73081374054205172,430603629413121248,121053185211164024,1066241794706895168,731908958821426960,643356601600812696,434513771066057952,33926903076250236,169524969651642556,1329308708330404432,658988277694149790,255084509802662176,675162929026852032,489284618865345492,687062490444544858,388773792976535820,205210844146059256,21505066470774656,215153686597991680,786115324521954368,514693385222273920,633914330357239246,304597612834995900,165638350392638112,929900574303790752,540594826772947968,152480708359659718,307700435995652352,1335178978417144064,250305065848559428,351264511597011138,475410508154793264,38631411973339388,127786701864017976,574646317236706764,929982092714145856,1114212863312739792,97962270204460662,1389022385639341554,1480998870250045272,374486586537160272,147265866715828660,321504202664821596,455884510495539328,928310846954577264,501843777866753190,698841519364085916,886962114243906064,110881856041670504,34891475656675678,9584324072997856,143832715381591680,464302582312778944,857044162328881548,357555137022750492,99938100730244208,1065823941881373416,528026824439869664,513570898047007310,471702876369348000,5642553513593528,112904096554909720,209073875043429530,278132589498811008,1205371155381909516,758221243499124090,359836840467909876,606485119835939008,236811270335593856,540926398034437424,128100255704900194,224720796001006032,73276851989630952,112753300551662344,805756970836627600,202664869379661408,1462166216391947976,181698197557289592,412763215218359488,153813387337436300,132474503423878776,94209853587658298,62733330060231750,298491934289684184,1033319921993051040,457143267902080760,166350065992612550,1408360555268843868,769775935856377240,639974098293611640,353848821653989552,802085951694062592,38607719691121000,77251211548238500,455673070466034288,841308053684542332,139781339167740144,1106951199202539278,163921513937992668,350367818161136832,499753906434559104,369721755045275688,1339059028000695456,679232904347005236,264006309003861264,760719453316940916,1071421451068288768,93835345610810384,338339157493194200,890537810952462624,175022557080848638,430866730628729304,42923618572679352,143144437120854120,480813884265690448,130603550914759312,55414416518794368,107491121341150716,2919079910342034,12979631120883040,97391804222907600,145632441168985654,115455680191516580,258487767579651680,950454709735507392,446845124716159968,482775409702561968,532102467645058632,784606254727153820,525754887907849392,334406000696418084,159047260345879128,883998355626272800,1327949200562648706,172010473362347340,491623186560470556,48071491755211428,801555675266336900,478342902641427864,150152471558172928,339014432372228736,183163853600583856,96363359361316484,600586375278265760,692827272251584176,479481046976850884,708340550538725510,444940009252351032,32852336570543168,1324988203851810594,20610400484535836,122910451968357620,449644086936332484,681110232920249706,577334098605451590,863481004642638144,149190664534942920,533248015637770176,291981221106928010,187058646493869340,38316702595046976,670843947665046960,46192862570600410,581625282757127232,451232281918435200,64013425696673544,1120737832320992340,1245170386778024304,309228560325475956,578829401190976250,59135552253773192,376679130865415568,208176809386574336,461505826247436396,639231928354641672,1438410864270881844,907343410483774264,52736889071946770,105520886235391420,136118788312223080,295340739330946816,7127059263279588,118837284623591400,160619897029676028,166992953181884592,11030922277641318,331074974051983980,1631069562777035040,453740893708502472,246943870167583316,1008711538467508932,71430434180111504,535966124421705240,730763107795786884,107617695185927216,1204208453255919040,93863844893363328,394989997832776976,123012283949271672,117343105501814136,180400001575423896,311111454495238614,292162629230195776,173081850178296368,521113056624527976,21129934317683746,101054939075776296,399226884269713752,533961021340002940,1092132279287387280,181695552402703182,92600082990610384,89960949990113664,1072331629604053448,76577478408485376,37278408258674336,559421928099523680,553950187807517784,979685596166945724,815716814634728448,196691525863731936,1055003073850226592,192323341955476048,317905532580559416,1099009073649505500,764146293102909696,16742115719766010,837472090417774000,1205315307017372096,243738442970402512,350117260505305206,192358012859106320,75189723433382376,250741813042092360,329816284257650656,495984627336870336,1287700030115547048,996041823780589866,1470651391878221250,248095731218359696,107484858222035032,260587635198271420,168984757747748992,1240618299925346496,209466972003359232,261053380478992452,1354725938026081152,1247126131328238112,152325235374577768,29772337052355156,99284141122649640,706320016421959520,755015812136167176,317223183796193136,231758995236959008,423216282795575556,478005234152759208,285922513702286624,167155475399266666,445206452760525264,301392686691603808,346144537419331716,134010838177349922,744825666599242200,308049831150266584,91635925210586652,1047718719457440960,1306870515675169536,208990573198878656,799818365899332090,988106090875243424,260508196213315752,102519760238503968,337295659674744350,199453757813143316,116086105711617960,16772966017655040,201361885310255040,574799616666375064,741674371860491936,475930606091118984,438870370976179128,824720613636243232,552396077619033600,339504474175101144,507150679077394410,1196657371968986656,1322527319604499716,960104365825908576,85859291532225312,347285418008184352,192233524866297152,377562242105394816,342364784530678208,993863025915385248,876608072438620928,1028681189432988320,873145958738593904,257173756118063988,82509527930453504,250079513311321440,787442886313236076,465856181284075050,5419696433087424,40664962014360480,67803668665647600,381079501223812248,876837443552692240,26411950726936768,264231297330114380,731809162014763768,232288137657339828,190085028521393236,147304218647700754,434376460502029128,887502060509561600,669860857592092600,1181211526661753944,376323949959924384,412056770818154280,212221634722250240,133796411391359472,416889113799234606,139698497265063464,30557558820402048,152852052285397680,1304047504906548178,890838641289657132,9421441703848620,848285804026221300,788121911132009440,22496552085907968,225059873222346240,1357886423511331616,873678721896012536,613776926910534408,275381548046810556,1045640510152533344,628383543001807780,374387851417118480,1418705998431359904,196360929882976098,377164466347343556,330062634335448612,453048693654756080,435829382213057430,558789612203022224,316779253382675328,201950885828865480,319081834501199432,6134326269400868,306843994439166800,78088083410733904,585904235499128940,507235861813545102,313161922827153168,155868379072762320,368015790414797832,70837333612688552,778081179337741380,1321671748334862112,246866011748342448,82106783647698264,50438839721830528,126149325346306720,300344913825925374,807361201755433644,899382670494984672,516876853463910660,182359550077585250,330491058202207164,499355962293350448,777453363230897920,625787886468281848,1488927937294297998,54754119118336456,442586559898046184,670374081834167106,577260108849186472,205897388064046560,33199387409393952,885681258163975040,313462897351000530,167296942141536720,84283066230952160,843176905809999200,158992160318658464,1153249986957867696,112893227911019504,123439123087863870,109019763442872288,356524431135243220,654148940463451896,83088621562821210,74434425911048652,325710442869599984,247814059500113792,113878231441884208,569623899534885520,42111379425225808,105321448743801640,341904820734504560,92111446346691936,196183748026840952,311791836826780544,1033579727607977916,205167644402495704,25748133996766440,643965460105713000,357031863846247980,105582279208688646,82439146292766080,37111117799149824,61877000388886720,46294768073371090,648389958873442520,451881878343851264,563271222230435950,872622363746515440,510201156994103960,825341626993937872,1443395649773811510,708083024403958136,1250527589141703912,1158916606659102872,137803276485610416,153121370132131644,356846725948860784,607003266175901952,1358775842667821368,402866590944491512,755769955942281504,47525392945752828,197400141201938376,130649014669980354,128481703977934720,51996402004091584,329601567213674472,72935663252712750,682171539187085208,772838446364833940,693733311524764530,617705601834694184,842750299536015616,226841640700419000,139000769028631146,310373394577325088,633230143550173584,25498367405991100,440474340672840474,540107650937289568,152962864164896392,256488475507275312,117619076616260336,700863760247660528,299220638175794448,170910415851207536,110690470622032512,69948857660107066,394282042716609040,167719479574130936,83111684861053008,1287378795231724,45076226913362120,515362244897148800,66181540009286958,39432095215835322,262985313837151840,345821682261490880,548222405515867184,495294819280220848,1627521839476849024,651227669003152592,171823214024238182,425863409596072864,695729233890422784,590656296703069000,557961048999998840,144210616494377096,1718429809574395944,254137899765653344,981084002427190026,138501638192245890,395517643958170368,21564111131779552,46247670450926574,594848010373734060,300137138811764604,869748710247028612,587211498813767670,434082739417314948,664366976392959504,332029226060351664,349769640166826220,653806255566980768,827670408566804820,1486306379229655264,533157280611694308,289000071408050184,490412887752871296,524142444947032320,514289815320045856,57692321112934930,346289934720924840,911686375213813620,851439800467923940,133575261830031936,668138339334282240,1163088631759050192,157199811757380856,727865002632452488,911505947846396504,103634100108627816,268293457167310892,510179422565739472,471549469650546280,773862470263673088,1085762781957983472,590513508333485880,410537156354818752,1308192787817660772,363060033238234368,237133148935612832,374439689897452080,1495121369015442240,170201993955360316,10371301806279008,51876705398697920,234038488907215580,170959911994732448,1881344641989684,131745340542248160,1694527166348985600,1072885089026962848,584141264837671856,1365299898378890852,217940087136243892,294125947401213246,507126893010377616,1602975060028648960,570246941880635656,173695210140144322,53877391883395832,166718080629997428,255878579730059104,1466269331659046250,1511800560638485974,1264755628457276648,742650692712601344,497072919213134768,601954036503598674,76058869161648396,350672096484013068,700157287784219304,162162073094529340,328610626637228496,41630493462277520,1457628600429010100,1026770071441378138,527752149677498208,74478498875630912,1257011765283662192,443968913709944238,1626681671784046336,93213313907823424,278114653087716912,336582280675968054,295222503719425344,542231682987872808,852833511594279060,1545895409351433712,1219248714830815872,687796448719028544,421729083169492116,1127532531886914678,572358802833127464,350752858189780384,51389785312050240,925369813032255360,643916525856146816,274565504194785552,141907154602553388,350153444380164516,859878694947394980,597625289186042316,145052002828011272,726437409970831070,444139633872511296,700600627508202304,41332297611100832,620220499090092960,325026629493441632,899140805904358836,635905934724045020,1271030285157015390,282531978862825024,310014552722976192,80101870342989584,875376972726885228,592658264651301184,681438173107557728,865857599578940090,1806491743867976706,303701357098202112,803987365539569080,150383919411650548,473937994425423710,285389838534492192,55830291426630468,119738709227028112,301460237443279950,127033061381099216,1381025212126030720,944487800010415010,918889334815537876,427535933111808840,317543928539346072,143880341952419562,118541033331131736,175068597982501616,836981017839870176,878349135742532528,1298915759636644968,542202484376287332,300766355111655496,209112969157160262,314207117235254178,985365753230193888,384588552500996608,310582685652812496,453436791962150184,139770937102678700,116702247461257944,1268755795963621008,325950774866449264,301097272399772992,1233995665881253408,423074845244683068,840171468950120958,365246367147752080,128097614760849240,34248545229201814,120487992434201302,848589879403476360,108127872298658368,96092281139547644,71451569392415296,94321691817769432,106149531095648768,85532549141108012,615097913653721466,226187942952560880,13266593296761728,199072997140760160,1305482929561662312,838865172568446940,230681985809402776,147942114434121800,586156318394190904,748290110886889536,1165632362553561120,1239798580193718090,1231785286757659284,194587866177414220,826840981547769980,430253020520463270,565413209514883926,275402597002866048,42424817876492928,636607910011741920,308280835086803514,129850112408271976,1407200147914890720,747020872794635768,559866345071084064,152970828888190896,120388117877362496,684448536824062758,427175566709401790,1074439190795205048,857707677073101456,700709951784801996,287319527988688930,185077689637088976,186215082994879552,100217253706071908,716101042856491400,387774688413035560,881984857249869012,457376297761503624,505434931474432596,164116935056731432,462619835741609472,377295937375311336,251789414527812700,1014187694812541280,946039872102865540,874057965089389640,289916031993624908,88954086774429056,1463271334909033832,47921174914381006,25169401317426864,24594115320206636,56267997399582108,375257176394336840,516967473531170088,1076123063848740336,290454907406426000,628702277617119160,475976669111134200,357635847649535140,220857731223641216,674093754740031444,458247796021160496,211882522873074816,660184683608245392,341166661052340802,245442882430082176,156786207053183032,688802143446885412,278428278679742544,40035584086835064,100125342340204080,85865438973062144,859514751059653430,115923772795233598,54885236120510000,686314412315375000,1584504881366698410,1396266599884015986,477685884086232576,1937191289961202128,258108519150191982,171364316082237638,105293620525908204,935012019236082872,1116711704632109940,21040056032981188,1683813019445123840,264863144762529664,504232835611610070,609624367361217236,898256328652368140,1280650346894990764,861468630395317656,155073102924475932,166183049130443232,415234679672993544,1147631518390086550,1080912222995702090,327786407466010384,1007674025937655648,206586919076440420,107571421936710004,600133666015702272,222545432885280768,1304755219734779456,94256496724752432,419068201326270720,240628850243832736,86989252907728860,1827025075681148718,1386350904648681984,430791809857345888,443905685146945164,256862603665115652,1112777079916757612,389313714709361312,686459880602497024,1440768931029313254,204334572928187744,361240901456850432,702973608942796888,505489822682368888,589602760205197800,249810192197651080,132408548046826256,97707928141336786,346947934587885312,400482931552190704,1203097046195897748,168427598011081070,95880926458743864,35138804547345456,703026286711321440,8192913067332850,98349934754229600,1475773703106192000,234245690933129036,2100699415862629902,448623423207764792,132536107423506668,152427548911048770,929854312876396608,223340616978338048,718930959391096176,70718920196532570,3579760223891530,50134402661254520,429875679551791200,32014040052183486,427004979187981040,755007492047971584,80804828820999920,709046785724362862,70226576582240036,1846556449828268992,1113817656381842424,1434449640225174314,1128118214203217132,1170498648726905664,122817008511012672,1132857945164525216,2109771397309823550,1947526200046298772,317749193040158964,931987629472065296,873356384487364176,367738950801595128,464984880050186496,85607337533083976,1146539335374373812,113001370840128064,141301358159686480,1133864806479320550,526596380567442744,258764931112300480,531456113082561400,1013054887235462436,1574589189922296912,511341771609551928,138742015124933756,989172128096743050,297020761838841712,197879568480771352,400675791552125616,1242019286028643332,326611863980565096,1215253866903042096,821426030216215312,657449953722766008,216908405482029090,975600324169085680,121285712122619184,1488705770116073178,1760830771780861312,344185055684730596,26667627035923104,1200461562310816080,685752208300272050,1220832036150228040,404763266858144064,1563804687010820416,74619860639009856,400139731230659196,1211398881856607340,439159472944192230,95107350134888224,1427105971932149760,1084695308686677640,48971543429394922,349918168644734900,219045895470383272,206544201843402592,158276300013191178,1231464684808806980,517244049944722968,65497862502109632,1146609596666412060,383952431920832184,696411159924267204,603058465237831792,240243270749091104,589733308645260660,1710416693207235584,1853527391007582528,253412798936928992,469274141730895280,721639306759878864,63527478704874128,757281069834053340,374822406405146232,702738720437040560,1751537988155088000,48009401178876216,720389086837733880,146297321225813112,23571966129220728,117900391179317940,1052563912734620734,376459974569715712,911198127129234208,549550535807745444,1121517543667992468,670095447707081136,1297118832499223424,1941920309441844144,1898313312943336752,808932728007627840,1411098152371998048,956625018316017876,440958912794367440,1205220282775729504,173621329418298944,950895413324279710,581091337623526254,684913679441102832,597559459548179128,483509559574503752,1157125641939921140,228651756694231192,1486971797789517192,1292259624968525892,1199636500997603718,545467240304043000,1003858032696692544,1221094412469455472,1053520630608555760,274163431016637540,178361740262306196,133417278739504396,176427495351049464,415704804673871808,649323810108520968,399198711244274872,91362554554080456,470276393272856416,96156472589250192,1342845041685572988,95325233455408632,476788018903497120,504723061501387344,1638459610022083968,308809701086316352,98093241619668708,402376508266000620,324679645056273630,1248151236026650816,556743276283338592,54774697667522056,269352173466406640,312602462115175428,1596222775182207328,17699062760687928,708201861194531040,38960186093757278,995406374459852264,553225330533117120,332425445707258806,821276359998391836,1093078412120269056,347029609794715696,1113874297918582662,982335279323465136,222852326241709728,242993058115235792,1758871935477576522,1294760973121604532,340746428505259696,212587571427306712,136964606842320872,378516256948510110,71169028946569120,1423858946302150400,74313612373394268,1103142421663158906,2063743643892512232,401753699199862432,18078946988223160,180850115725157200,561408981446493520,498803339017649472,745794273086464992,1193487306020548070,138904785885174548,698613985150554900,147487171969033610,1573168918282518410,2218173088676769072,425653217289882816,629832687757789460,70074701973033030,311547172151034400,27245826009050348,109190677192813010,1747633977217853920,356487381120274432,52592828674130864,96047935970890608,360299834233536060,786187143139672064,207044206897684004,420606682699691516,294414322079656116,2043572914835439624,20119713294693168,603792185212342620,502515058695466236,821549696769624680,1054768598260302656,58647397692663910,659206215292347072,202884688473637104,515711728345543296,1231791565117335432,169579714850134360,86719299032840732,328714460667031764,511186566781619064,844636534884833454,720533182720218528,62261105862312448,408475012556504642,542159422752555104,30204448287370552,1208577491798855360,488542896375979020,162258310242710814,305323127532920448,10545071999341344,175809234190922800,783406430245085296,217903715939767228,147946000973980568,1886830743968678430,256078314338685328,395855110048445232,96790491164666400,1608017499923442482,68531486968146762,380855818975023800,252669504006777144,1879637296564536432,341962233329505204,120657914852899328,841723324875308592,170359510520842846,1386080856811163968,1412408815526538872,693517472912035212,69396456299360330,833030700395860680,554997586280479400,614261490303834688,331791104650449378,498329121871775016,315553826414315580,119340152198341792,1017051753965509584,476138290623805476,150647297739748992,1721996988938256184,765723243095680270,1746480414013233990,746492540627782992,280950602038594352,1323860958689058888,658493185588517314,340568527143277936,968643692528259072,72472112932052764,1053181192391803620,98186916657370016,935065171052582544,65146069059839334,1520570061885428820,561558331104153280,185655133228369728,1398016603040514102,48082105592517864,412266370653368640,1370686771817408192,1323341588303364448,739995629634622732,48954694177635456,734558874963655680,864912399529569846,403962178647471208,210363275937170972,174775114103573080,181819380793649948,1195904912067683874,242239669856700320,610142859153471112,283940271128196438,1523287473965713638,962825246510415904,158408857467760280,56102645430352472,140301969306657860,527548060507428600,33461214099864256,836800624123034200,1035677353240644084,1002697934774749632,223258583289108528,1569702105718133828,1455431813692003512,112168556991904192,120983625845317872,142976955752173034,765910661714955180,1876244075894482112,2084736598658937984,259852571466734958,1258497959123971230,1524491828687476152,128309231182778496,2151830081172571416,123021046484069874,744654517801303820,1281088635906685060,1284136121721404,51381936735251360,385488217459430400,954440487378062464,1317011548811352912,1236178590037306160,236005755888900180,2575219474179588,25760445813955860,1288434854133879000,868757241090261216,663205804430998752,1485669710530862948,136932438917968272,1141468620923488800,546244425208874784,1468221964873526616,164046311358690436,253145557063688576,213995585968544928,44618006686514560,89264495035505920,103071636233783476,722805164089114596,351294493840783002,1015309169293172208,860211848553372736,41566909940568576,608046063645432296,1207375889515957980,330455795790393544,68552944699044896,314991177636769368,1526441376645145500,498695938090557024,382901062228446880,2134093154905156788,2300397810159064104,175139026824637356,490986098523660096,145054184246858268,1969067536512485274,619361730147114864,474893012017802784,773423284733107950,383862043600208068,376816936439808312,194909315529791648,178444326212909042,1725140176110605448,405723803996459984,145032048959868096,1088933142799798010,102862110602297144,1987988775083056736,364976240517290896,571504884410728390,470784274308284328,252266726832493168,629552141396398240,967931020517735820,211597128603403926,861261289007694720,858756128673041928,1439286629684222592,1591292547798213420,750421613825554752,197174619186004656,369458627294203044,488923536663206784,237066045479837064,383492207645150268,626275573261937364,430478023224132876,82737132417177392,236466072845932160,779838690827515368,384952704389376552,799336281995560820,1035170393163227120,1577646217039268826,144022851924440216,99036940915424880,927208187475781560,244016433250430832,71100694446650442,711229606557320520,1329085516553913696,65169591151626752,798455215018926108,195003149295020352,896339967709019136,308673436560818896,515537960497211442,926718755804607168,1108713643667856940,496556736840319264,81708892451958444,16640665329192384,83229285327126960,69072103760606874,1842497099043841440,1006254332068040272,787302104784762060,64514519476417846,733733552756484504,949896542268294432,212025941999477216,1818458808817148784,871836514068819488,51781792454934528,665972900073308160,1190967956406601224,445029658036424790,154545947264512032,923037946880952448,1110376279672884224,160169348594326350,98160931689476008,1097575508573415460,70871681350346604,472624355896323760,1141796584825814016,6805428376490688,90767152307453920,113494075328468200,235838677280507120,1397956349883474444,830718435955713462,425819851422395144,743325589263554304,238043457657586296,1058297891504631920,578933551371841458,21441766022387564,214483869876263320,941556334563968808,170958748827100556,646791824793536496,345255503160409408,437750139783472580,111775220992093876,36874571664614112,983624858558538240,950056400362149416,1052467988107434976,337084160459788768,301995337806058624,157670857508201394,829413718958790920,779030387708155260,563571698648807100,1870601580816045376,1300774289189269248,369012629145354600,1325134387264722944,492567710195591192,266458501156326776,1542931017564882848,50236864909946676,279179265193549100,42858345492690860,171485914416974080,64499301544485424,189453915107938808,793854948361012104,459540002362848736,118157820507343920,1891103462123591040,1434393133936935984,1724562058592799680,902437891572278848,99072298942168552,1756180305869921392,263373831260132484,596450922983065776,662200283757604620,825064804375925358,1316747008576831280,583331632660179872,455232460631971620,411245546644305984,956894410147898912,624046203289940872,366080769139977996,281583419226458960,18331879056554784,366749141912885760,768486811772596158,22116619324793286,663700299856314840,1893168281064983524,1863174555100081242,635440761451535690,1281797168724993024,1494554126404234840,190219802773372962,704079105831281376,982864337959851776,581117689622025840,297125546531163504,651024880495624038,443385562425044208,535922514130066016,518962116514639434,524402109974651544,25299818303645352,506149472149819680,21039589711201686,1262757143529411480,757300823600554960,1071779940443557800,296443085496287632,182605026123701268,1049410890514179144,101950955948781740,1266776854015469146,264045482128685984,604455444333161568,338235400753394304,31902863544878976,79781198211167040,118903544688763892,342827557315996280,626393858958872420,263323363666411328,195172329507176064,2421387571169814768,496737467527083678,1010890556938573960,5643756946607948,8064933289953640,484041402816442800,244876059533972308,200412926089544736,36192422259837872,322914610413809624,734254618712411472,1375257716608404384,827695261109787336,900138563121381816,836810832512394366,253908949433837488,22351818759400768,167688847522348680,1118260370257069600,1285760099801670220,160970524638595540,317760660637140112,804425337900014754,156624338501717632,391677890568231680,1841311306804027604,259725771238164378,87696838938123380,877230242146371400,57027258340349276,34305718146312672,85789882505640960,583324661097964448,42093270409654590,963501552072900302,1457056331964124368,1283827917856055936,1121522432323829220,836214315304878480,1776175264383831080,1867411930045411232,562338133903637530,545476456153003292,1194307074774455348,3303861968775408,66096877527301920,991747742160045600,1989835646283307648,211251143651557968,240725761426812844,259676372190829552,159362187792147536,2044582619611997736,1663743544336027452,1246712851274459604,657168193164986432,1004624748559050752,1606079844512062752,103835750596327152,807850500110637760,47866671742592832,239404178693188320,54251817744874568,1027253240114877824,562587464091663136,239459573783437658,425409231818987568,1641816402834184608,195444352035881648,202382684400584186,38450538505266228,192309426659029680,1427336577112485984,98038279977868986,200477408631190130,1027739929081362588,1125508377825454608,924643838200259592,30447740357941816,1370551773425814720,607400291850021320,11618267505446324,58108429363368860,55287252108013608,122896689152833440,313709300580859232,835536774330165072,181044807917373096,249319224427523328,255181169767282612,494752861985281232,843146707345829760,1471213158551911320,1164215685305802464,26529151037111220,132684645908803200,517839766302387648,2546440114104306810,1615491150975327318,572310713827785464,1568678708828717688,27046995868517092,1082196436333209440,1373054274651609088,904344678006849664,235604648513418894,366510401452812708,706600237810984632,115970186425493904,1160040601923072240,974630415785632060,630848118186972192,587014076497493312,615176656293358208,349993345184909400,26697048351263496,133524158376564360,464333991066572466,478232760198526950,764456442374345832,268271124979391744,66555307585208266,252107908209419352,1293620639776281960,2078371239991324544,1888914698516206592,627906879150903248,1417881510502574208,1667724066353513376,629265344787827496,927659297583771920,1140236576406304048,1582713920404537676,1972532460153328038,895441282441845132,132222811010263200,193061776978161520,94110299692415062,194238507103947474,252240916548513728,368212419268529472,839674692404413670,1085464102362651150,369371820681450096,425068230002959088,65432425270070292,436342330361761360,526154855297088656,1148326037489330112,2106055895331286912,2587699451771022384,236255507808274056,128591022305381888,160785180285771080,842950305483132180,230724431100615928,1510621388877365928,503630616320270508,419468979621622420,320247393952546816,744460671344734344,906741363922100010,194200102534558848,573938481050313828,441622038609411648,41387087269890,413989939572300,1380363364188000,69038013625200000,414347157056700000,605618798955695304,249279153668380984,663947135429665680,147577572818428424,1770974544794845584,1766253053053645728,571482357867578192,1390271226693190226,1491573906238151512,184949903894299596,100563742490777216,754444197218684640,1036255833315089072,6115413244920840,13593698381491200,67987948219317000,262564469264166324,1979202458720194568,640913944733453456,720540731677201020,73915540690749940,295746664336664320,292016215209531488,1993353227274424592,583836991821927340,1938227355616510252,191140556929959112,321745257664743430,392695061801428416,1549043456308297408,912463833554890752,167333313528067050,111387675426812646,368402307616904780,141409733855280352,222951311604014968,433031892915432114,754869951026804064,263632754569536576,125633124205892024,380661979159774128,113474852568244104,159752352002961464,1413001887370231144,681734040740900628,1637505672937459416,189326120824416128,1352713319901083600,137577347550012006,1223256722488083520,202244345849053560,151700860922715016,240091663529817666,1815340187101874688,1103117122386607280,548868869996850270,199043186045048142,384950921142213504,505081524108541344,190107124059455232,203123641978597464,192712127127972920,341422612013105728,2279456423963077248,261333451331646816,947770075463669712,151824237467065772,125293166017670160,1096624721924039700,63190755883848880,121491435398210176,14364463133472170,86211086488549860,2587061842471436400,658237303075548976,1256872791996229410,1531645329941876128,212783881711460384,478837032423587904,265411711756377930,1407720183847545120,200241013443675432,766890686847525408,477025940887994862,684398770841249178,167061713624896544,640051838425560800,89080965392456310,286290770645431712,990405695054434708,820180032565515552,1175949369352545420,1867914184433822512,215883898915122232,195930883157279760,533956055759755572,284048442887790048,790588034765717916,440053367416023336,698871969931391478,679738610902636896,911897936043962000,17192958419859072,171977689045536960,286709658375313600,266887587635780216,953264787674687808,839758535781760278,379375186151280564,48264937062868864,2172528770391912960,2558061124144882902,619662831307328988,836751494321480556,1691485376793213528,77828310552405378,506923743690777504,331956344877587200,542323090534132320,1225033090560190836,282232886420887136,1526455474534977408,153929972809236624,1432340472161914308,129438998072190500,326879679825399456,403816979240908688,271344304349021822,1339686919230626740,2098607378463508752,1526132088177270752,647731631064212136,968910689600457156,1107707512040966256,462745807547216040,1663417776001843056,723222690866914392,1859050110027678428,1017311941806744840,1364180528207559972,108554380494294132,495546045693283656,704490117851723520,1519816154051521788,536113272841819316,606531594262427616,2299984823847789568,109197562426925078,1018977712173578508,643709024218035840,214361216538417480,198518646914695616,624591590319431514,235100000728285056,839486594786667160,695235507154399750,1107420503559671812,329806114013539520,312114940236275088,115415738921607898,686898422936205018,130175055904574148,269664860713993952,397818648939387564,2336629645252586754,627712478162059680,138015634107007552,1380536273884244960,117635465915820596,746616370433019564,58301478681565344,1312144017959776680,1761942505467783104,107310804125149416,288641173779556416,342843180742238924,661461318655176840,939244899706488540,568942872665161540,1870554684552109182,1524155892509675824,23738940290403072,59363626553731440,1416695517333093730,274837334617958518,492613396571785272,1798351240627696032,267826666767366824,287874776003247552,161601753921464688,2424689759833230240,1645685414693909056,570942406791353436,250570362717676792,279956407041031416,620961207303074568,1226247000826377424,1831140729701313296,736420771482221088,2630140500099417102,696084724454217228,224481773744322972,243560548993589296,2672146648159701354,478903862801047242,35118561743566840,272045359960980928,686153437545399318,549697559931843008,371776654829048112,2711862277030285884,396818755750480212,321186095908543656,131870287529836128,66665831019355024,80942813842446168,91554842714439734,1156353750190132416,212140722206707092,240834960482374776,878906864688104420,1328708407583125800,47965280628957696,1279421364307860480,149787061701482150,599310809438013200,851388038225086180,264413537373155380,65260510787317444,120144054089569760,1201766115779975200,1618836281618759024,408901134556582296,418013469751258176,100908862330795428,258793626893556024,86065855982275640,516534830302451520,879188733624482880,1843167042688863996,1409706766019186028,2441344288886216448,1065733313274237540,238625588979063936,354635024512643084,974771610165408000,55118656593006624,1883399587534510736,428746611192394026,660870336369867936,358955616516462700,770419904051469672,670739394432977532,150137019656092504,1072696176155485600,1971333874929148576,1984707769565766544,792640363731272892,324185430240961464,520436701799568872,33367830837862788,149978811552419376,666751709401247680,485736581643816780,175059511457867272,983049596602873800,102411826348640040,194581338212795042,361191383641980504,83645639625247336,1406570420752437248,715309587825970228,408119622907541916,132383664317294496,1108664640559580724,277287251993982446,1585872652562551164,258039397575446368,200692310801523424,366452933998613532,1434812655552162780,1282638134540339424,18507984439185800,555388048807347000,2014348219814583044,36334887047183568,181722994018416480,2292673148502100496,1245425214869499632,955878993035937616,1379671433714655396,2037827029292484768,1238921872611875896,439269809523596128,832276649033505888,859867756520208384,229709285963273844,395400259282475468,1223742581620730980,822892887503254488,1216791336731534928,421729816319641536,371210607331807104,1788976941593392236,286433397829830342,2193227687949563328,491071454541550632,417634351121463308,972296213528093376,104531252255062080,149370041913214800,1668970583364396928,948247875186806712,1178696025489921536,317381126459596584,1451789643905993574,1150086752468219712,752326122056273440,651555734427659712,1920936105205123168,1321612725993522066,539871719131851288,377018359854542280,1915369614727242310,1257094692022717024,1689166966672915968,1408963505842330752,538497257823565044,252092277180300592,261249727525221412,87778370249983608,1170687700466872480,19035959093521538,761639579659626560,2015570405872820160,1464011087765999780,51792140448060618,690744183284450720,980502967483273620,473824433495218232,1706705899869277328,951809359262590720,2272327560896312640,1241736668737523140,429640781270497524,406273424795250144,771808243426475976,1044522295070008820,1281813693791110884,252313403290693248,287800997272156656,841466953850023956,206665954029026776,1057222150806548664,999384276473456140,339743194268286424,320525981047551188,2113028919045013536,181919583455041008,2330101274340645288,2175633086388359598,1068660115534702296,152944167062437540,1812818895299469792,2801199342872728404,1614872850903061992,657763748881429120,70402052354260550,281682004736050600,724410902407611328,447348459858643168,1862704992509360592,300547213046510318,822405639582112768,432225992680999272,1381868517894218118,1596881509854854692,1918891344311779152,2296422282357474156,2358026944639927038,15651993820512216,78280413677763360,261002862437449600,636144144101443244,2097936346465730106,37813681363050804,403674001454450272,1238036779372735174,388047045418056570,2477833257708628864,435103744253585784,275817362621380552,331444797562356240,44188525630589704,63142905470967920,1818285630592508532,220747480843484178,314330485098884096,513703224925119488,595856476157890636,96478594457042690,386014716612283120,1993967200349481420,1292544067703595528,178905957976576516,142518368751190880,215213760108382432,438156779039192630,651676129897608816,194357245336609096,2064524575254553860,1243080002969769328,969539155761902726,195217975077615792,1282896404754039104,1886093628617886704,320823249545922466,256019592819032664,2022224518259152956,489696458578410776,134324162064005214,184578310939580064,615420215224167840,530268958223508448,8584881755633028,66788565256511280,763495181401478400,1752290194929320424,1891991768484694856,51905152214339328,750580684676303488,1531643784034752570,1785220664739994728,975313518523382220,794816479495538292,2610343866046056432,1376427073125493830,289341486141875328,1201079286170648768,50698927057239976,887459797592729060,1894761133360403084,375659721334997568,685211385799451230,79639921425456728,327387837360752760,644067990132371488,448412859548489836,1464915156457859376,329951514884915316,100363129082342116,30994777103036656,116260274216677980,324745373879411616,1246716467754109296,610473591828982336,287264663045003844,870271006650912312,1841162977955615104,297903464570561156,920777803041211128,124587244513877712,2021708488159338944,427933412849244216,534019966372551984,2986017829132644684,614079787050535512,58806713277029658,253423282996668806,572163211169815776,465740183695481200,956964741002764872,1221252535002415426,206936480456126460,135434203411069024,387053746206191680,2325278136748937130,1882752050954270912,13448831087151216,269045290080909720,112700730351759662,836991387256214764,564075740997890268,1602671376081059280,2907211032241855470,204798759186399088,121956811520043136,1219878887995014080,87603483616578616,438128982910658480,513376060704375336,222902364621476080,1114795496935029200,553225371513288768,2234087943539076288,246388446720392988,662021597748993426,367244096045568384,749302647623143700,298363715395112328,1136403194729603584,140749357036285952,199562735358274288,1996134007154126840,298611725997919296,566302281267197632,127819935918049952,903374428635051786,612459843063558856,91496671426577720,1098238360142978880,276922428499422740,276299973756634932,1228310933192800960,22919686351827524,1146274459601045900,1817735741637829468,224460671392086864,1474849102575825312,434782368836545896,370534582283060512,495790806414540336,1550640738216196452,536117300639612208,179068725702116180,432416600759560768,992238723943903232,221054612711619926,1200328521112293272,75341550423059700,301442239905387600,293618955860595232,966059295032678472,210274555168438912,1112196173863615056,1362906658175686470,1370019342604812444,798930168482052640,235078381086886064,2754758654769113604,1335486963187427744,1350379577469052280,1567316480610455120,515160312458022512,302801363238906666,1488002847819107480,979571171324710208,468513848237368912,732405551519131938,149353053848957616,624570422480196128,1359197109105272892,928838139295023160,540354889419154432,921802051453992156,670806546300248072,1369025810915012530,1025251306456548312,1007241208618040352,2474329661869144086,76221957749555124,677698257086015360,969736999176794544,1469191740965650464,144213969231631026,137719889892553792,33217943920385392,379728626352703040,1182674234142482094,2556357334412984892,371052600310152544,1684239312768839596,5887455306075846,19629754338880560,261795436956012800,621359295098654484,99428989921461234,110504233348661880,217883866450431924,302631059783543936,237869485629013014,1359593202313407360,2688010961458939992,1841177546861071264,700718959004272068,801971732268905736,778453347141163404,1624219329773519766,318769204293372600,533857480380823360,289782984937328064,2254428508395261940,112519116841866878,355660756643406352,1188983567277079392,2029437273969721200,233984939336435956,1061028045080021248,577539725791643216,1081283295273612372,1143547643692957902,249220966019540536,550276134671963552,3074741675233155954,1794316074215323284,656610939937990128,547157733784946720,163265299371376098,790179779794566504,724413470345189220,333432717501875792,1692510663311001008,99761040894730656,1330476569042647040,1809941801989809816,1646985572549989140,2818693946564754102,22128667790230340,132804845521012920,665273693801241882,2294528716695141576,229261165233442416,102555771221852256,1977701477097982992,1470021322790611926,722052565833670344,2855753349097793256,265113442768363266,121199795131101304,303074245094216960,241898149467096096,2614945330950857952,1166839180969366422,999746578651587312,340089547164015912,435653190766425044,334050650033009056,273460660741256288,319478989969103888,352235337605505578,307516337018205364,836279443728017136,2069692928127677736,2717847462649270266,664045243948132644,114093682290100192,90991862991807752,839279666480042816,2084872391732981700,322641889436194644,514065959208577356,201298102967397408,1006737570796967520,1604154012592784192,1763072674638074240,253388093850726536,1696140656715482604,19422011796360376,1359874098097418960,1310296925915642210,695478143434809060,526585015869934560,2804195197941731072,3080355358024618866,776519446219593342,508247657480900976,1508793824193385044,223272440033548560,94685937485856626,1214912250647590560,317576718294043872,19518043915572678,585684410255200620,2686688253479112084,1494553036846885992,2256635217068335152,315097620824937904,41225306493913392,119049444240259792,727432249820983098,2151512018181968344,1248201879858319360,49598383841473768,248052375665456020,61677311721116976,462692557744129440,385840036286187648,2316956174894163216,269523724478274032,2561578428529712928,35985847868211576,359946051913124520,239969227991328080,600068999797049600,334843178377313216,257451935761270648,850437240356991042,1181149519867013920,1413397349313187056,685232746917060468,1094264689852328204,1010637140520124992,196281412383829504,736233947061377520,1945806035150957016,379280459535243424,475901355459108656,868439426415650362,1222836759807712126,1301353600030563456,215635963552363872,1284846804530314298,514389366344382570,1726710908314274848,93338068177181504,233401657722842320,989853900914558620,1195482597316544880,1057912180588782400,1672673405750302150,966963523683188486,1872675183442087032,1882504734735750552,193007462281637762,879510640624024500,309566034565394944,90262382753302392,300947252955070820,612446992730008352,718190330641041328,2804554509749046936,257767552136775912,227797400241041802,310618081397717184,689552127113868928,1173354814411611072,178725116788865480,2502754444226560160,354243617152307204,961596870717543942,3066588728429997564,367664399596785312,47050665669116840,673145382299207796,46633291900995438,539218321972262660,18431401574677364,26336903364078860,1580593991811802800,489328464232154848,879104444491980096,87152591963755908,2034048802606664760,64303177428824576,1286372239978833920,2386947179541403472,1573135564546761354,619605556398140416,662972865660131424,464283639584295804,312198793451399404,607215799018370280,1076161051679044128,530124676669947996,907047395752674974,1720907827758885568,699174250098350880,252218830799484678,1796407424901196680,347632420271215044,1842698200945533024,833161872476799504,2143012615836749202,1392375493462709504,2668270201054615296,531587648701043312,111125341234992084,27434121489179076,274406723670556680,767356629990058448,996725515412034450,22616881119224712,452445541105489920,640439551073995932,1720805233053222468,204404107297585000,595975398407579616,331163496225465344,103484319044647892,2172067818246615744,1426777262522132192,1129448375907604450,500987651902852512,767853305308594344,8708121415559748,174203863974390120,726118709530174540,2087568397095552,2320071932106240,185649874861747200,1392704971328448000,141128298168772824,1605300709863802380,1512591601004674340,1047286715279849352,653337018166180464,1448950366094516896,1043027475216803274,1811216668396402386,384642900288408040,513099796322145300,1787099657079330048,128285570848471072,1385553384022896680,439748985035740224,102728711133161568,456680186770940160,380215014018813408,994322433759267564,40408204185624152,202088832682499720,1962540766253993856,1980538388785173952,2558350406990267784,1426744119450571610,1773739519788222504,193169806246317072,1288103003180374240,589799652519203776,205967070900303552,2060157079078583040,841139653780333116,1418196250195995788,977444413268012500,991473501568911840,843152962825578276,306218409368996082,130567028077279456,1030458466431883240,227826643380982310,389967901608269560,139030456414289544,579417387437471592,927205304486307168,809727112086964932,165972549394388808,186051899501042624,47847939703840860,1196479883992534500,188046076362918696,255442194708125880,58084796462969154,426291539555864044,2046329556012648480,347933579130516392,1003624326018301188,1602896845087050208,488210560423085220,1234568362300446272,418783988959498944,2966461303126807458,2435352492173089104,484686893427046704,704216253297831820,2417075115347189584,492460805036247432,1338525077972073296,24877246906318898,746492228019895620,2184316550414242048,290541304930316048,2756819649539905936,241440768554846516,886709896589022012,737946248656831536,482864797828506184,1758653050817406276,313543416667305240,1220862067439999488,365930026084374272,349038686859030168,1056864781449459584,447749604773245836,254193010087794132,318889182588690996,1008442453782580992,42084496110290360,420943148003758300,400716740624085648,519897942346114384,20002028571990036,177837256039940640,444696758773066800,2569562283468467560,1970525543172398304,1250061340441264624,1069110392232468264,81469039030816096,142492314545477264,356313689123872060,1080279842833812890,2405437054726183040,30191093656812816,2717830251398608920,83648549156701696,183669084949736688,347080739341730576,122711890477169184,437427883647787032,2786287403336062976,639845442587712640,805810042634725610,119879979282228708,478396079794728648,255542322389761760,1103319770738009136,2074761525777824016,1766425564082722560,171738808311479304,892992602356097776,2550754458670738530,1963572784158770652,1319459465023626388,61898568976931400,928693485997461000,154694852102728704,283056608538736928,2048403974328693982,2754651228647434038,588861707295810312,839565553355583516,1235390988950841226,266211861148425868,77614080837856224,26453569228868432,661491986703471100,395940101097534724,625152918502478520,1749615926313593472,2602218555107729298,1846954792024088278,62032883301091248,723883892941074880,1131731128047878128,199384424887218802,804116586713176100,189763371560572308,1265380626690969960,2058516937131227370,151863634890516480,303797206588715520,191976435216851824,2468836565495641440,969566471109857268,1945275267332035392,1601967624845461552,168105602529864264,1401202123246237600,163962543216744272,263213148485828808,184811425806349626,2376149427835395352,752815550167693152,2575525714299774138,2541396285559591326,181089777493244144,2704421300880294864,3249510019881980166,1473396361935943998,1293042237531830520,2387731913768702340,13343084833161356,200192149500088620,2602330715006618184,730046021029924416,815653047878440960,352171766391933768,305582324826296288,3319699201103916,298841313373216740,2989097002247779800,1159731670393212928,492690798041267568,1133655788197343376,745590071652703888,2517038766674939744,780526070301286344,3206161513257279156,293403519794464948,656509253663114096,1225036853243838880,1542567882591178596,389035169997572576,317721063627525740,221573605026209028,2868220185063245136,980013407760702756,785090091721857376,360853314820923792,552769883347404942,2562984130274151584,158539905508542192,562078409171684112,1950082446872781808,1217253369387066368,1514608662103837024,2854559816393429248,275335034350416236,465893463878315756,165573542095437824,292565450042986068,975439921675472820,397303424271982192,624509420940206080,85393335438435360,170825474344985040,1082865986271870096,1660046056620878688,91867956262173252,925709705558862432,13646267186789928,682468194231364800,652681036050158448,1577121184048181460,665437276098137392,1326814090862169280,1070326687964962632,1094417146331778942,469327536991219886,2012152900972818352,384723887318511408,14680330181147900,513927892859699500,1403329313032455984,56686937278051524,183307467634737362,2387051668408390048,2676986853488048376,1149793280189877248,1121227674651447132,1330553394147210192,253447019212565392,687767396199656136,742305166508311180,1260603916776507670,428854673633095424,1329191039808722160,876476041068566730,1828117338152519856,1444536866743406800,1030573880051835196,2856083576534955198,92812875320445476,1420488863816673168,261222856128414208,1493038437417643520,527631585241480972,2276051912986251904,666950659131050112,747936078365979984,267774441886963578,846208468343997696,357262721169295032,994949647907090288,341367678241449272,81020804465464464,75252340255265776,2634424044246044680,2282455720502657552,1324911357298123848,2498127770281506048,57660268147154504,865098273035635080,701509939294769328,411721030188231568,1109229614606275110,568012715398887696,2905537780187558208,778218397405603488,134787220957260798,1483035471157091568,606938020508817872,2888688715260001236,322503598477291164,898083007339160916,1112203289617943456,64292832857959408,1529193920653681812,438931670080258992,2279225675989349460,202235491258356512,560251873191461570,209308126468685256,1395699582452209920,2678276511504083560,1961082251972621988,1415609229605730228,152526667024098432,678047754667279360,969495649057767048,1955639771641918854,1357803688780303440,947877042510914880,43516118438545788,227869736861955430,594628798281126588,2438890309922299596,741622835023721424,595955607196217022,109098516959312160,727485556460904800,753609148122872316,340621091063011864,566468987665572736,2859210685213367004,157444819806611508,402615357672699822,1529150924443715064,950794703667775008,1299300038456563626,1169012671308996592,740172899971650352,285845271266609928,359196231008690166,139897182050929308,1166068916260640800,374668322401365720,444709656604883436,1591107481562845020,1807701942807309216,539774018718964008,2778193880411552832,2019343040734198656,1143333213551314240,1302825144609747840,474965567706596624,92472901057568538,411081783768271840,1698544793140537384,70659247874750636,627867025919431844,3507415379476106112,1083256123269280104,517749381968103138,1733210663827868330,2890653516331260264,329234773291387760,1856334034095525474,1457111363233702080,958057438572682032,201352360314706272,447548609442147920,806815722182583930,1631494660205490080,1002951887910168672,326395281772771084,111009835439183512,2574027394609588992,252751904119130752,1187750536120625130,78194165252923008,434507876890483200,478481280443731344,48059960595751992,240352790774942760,68217994588643424,227443437319388160,694273217882180168,310109627598410248,1337605085887993648,544004298138019848,463382882415499072,678839436287542180,2064960175783476672,2528236444274082880,1559822138396752776,1684348326221541330,804586548793162784,125165670241001840,938948914705647300,1782171168630864670,1970239118011892560,3357878582351844432,1464889594936732686,289999526032768468,105857315250361272,176467594259141640,709735837829955392,560253672510773592,838787397240889152,114734916519008408,163942974562866380,252088381998331840,320571872082115668,821318632620933936,3174329251056023748,1038822920230466616,281273628933188736,84878813006600736,1414956681960837100,309775883725424158,222534103590075420,328660151157420404,71315936944290346,2519415592148052528,721258484213857408,60049549467737448,600626793408296340,79576738973528670,88437924080023800,693998750847099712,557528061712835104,2681790041165617818,186207912705440952,1858121270241393248,258955748724012692,387034030970206328,1687533337647681440,536802397318415904,1336639565322646088,621539433880231536,1237135589959045952,2644308895937489496,276900038044812804,737627656340715672,2192359909351171752,34649920548508184,2079448034681381520,525316345943866176,223748003262485616,2112238200661225920,2062393138653977220,694309193311495068,2482284638199973280,2668550855129564148,948395084898718884,1132404583848153126,164115785776387168,36104955606814864,1444512034603987360,1999250479222986080,384843179213236556,467912621249103016,1324515007079560680,485004257578952540,997759377169542624,220370481061366784,1191266967650878416,565465907391330876,35279979214068876,117625429535248040,371536727780731908,744087244205205264,499956403958971648,167671301362142752,16433817656924622,164373768093190740,160273485230784640,320616366013123840,384568057798411522,1736556158750423024,617484830755354720,1334832230893698944,328609104704953884,865078602195442956,466115206448881632,894874597206919420,1571461182289247292,1175102990120371536,656470849282219776,518919374161750016,254653324685491026,80780745204903808,1211972743369032960,3202736923024790752,2541423815066231606,2758325279473280244,1194076134072239712,455812879790807376,2134404520256374366,1288128431049332964,243644570299579000,8732358304538988,232913058134979040,582408073245787600,670441790437904016,1697774972966890920,151256655192101116,2365968676359111184,352436122692653796,1453039630813878976,3084498124997386496,1614964294856642704,3550786209094380336,1160052456138039296,56468631885176634,1108756566710430638,1459098688281275344,2374932488979900528,2690893857524523966,859090506543905244,1692586691352046336,733483808037159480,6639075987265632,55337505073925600,885590035079859200,585301059912373616,377554370214227570,1043426170991801898,1310631934557305568,586686453714543680,1463150999363168172,2800355518141091190,1981659512138682024,79169541619788656,2771527296418649720,2580527961363601674,20259984489452448,506608006747767600,589761113289575556,996749698991433984,272142903501988960,271434384391871064,1049159476305584304,425751944123647890,101374736870968032,1013963986679427840,645760182675355296,516156501724025304,376660460053340568,165904109361584136,553131753460820040,2471166380443391136,222093221057146432,1036426096721278800,530765966135180568,454871520131367276,1199795663751149260,3147177849709225860,216244001469815588,558051353405325850,2660845085060679072,168187467081611168,40151433345681504,803199671259722880,1828229356478463440,2596832071353274944,25438260927290316,636091846762955700,196598011233396240,1966398289443478800,697964772992040558,1623047062062052140,2135570114466619344,947848642989990420,2512621143338428206,2579620354578309632,342999423035267544,816406246719644928,375624104219676354,97955028293368836,816465171421226600,1586927312258576944,257737774685522234,830279120839034048,1705447183663432192,278413609197684000,567125202074119084,2879906592697210048,2386357837326687744,653866793569501148,216711114397265376,515344758781765768,295219466683109328,946863763567954752,2707871764702906928,234917704894034556,2588116735350687884,1947209341928895240,688895258992329336,337887288407048140,2096589976134685312,413112577316771136,405830498605086594,885884417912130544,1116808225749989696,2455384247240717632,1185082113785375078,284055980680337952,1775724733946503200,1646043414376858112,1670358023854338540,2069758158788364464,265822529656940860,1050982853077292364,1689336495018318320,290671953938016560,332445127436305664,3750819121237392,75032191928791440,1000640023920950400,4281440948981412,85646854860303120,87887455984314602,1130219494060977540,16462471011206672,246989038147323360,1222052292400529046,2299522742340814718,2229977269847646072,2318130132332881776,812961056323493042,1642515118639968520,1846042840862052560,1795021765738681040,512480241844483152,184487471478359532,594277666180953636,313011884267201224,631758429917173566,100078546283374750,600597304589802000,1330721147348017152,1214576526252531666,1454834388046693570,3232850553588432256,1691179556769054456,1247999217862506368,584833737250159986,1943698046393721408,2416436730977586768,1056997659282526584,177594872815232096,462311684400771288,476517119980299580,580454932808644920,1943009243412604728,2770202406785670216,880843641141442272,634843217421664134,86158148718875880,1077202052614947000,58931268097599460,510490782641437398,171864085639711948,245571421870806080,717103142034432240,917130166657079504,973761463708128550,537474969598928528,505865851540813896,53426487307064448,66797044793213280,1983690022122164288,1136846347450751520,29454423005011032,589211294126798880,1264674147008019728,1964132624816443188,556165839298811350,1869630489415294910,2985936812938034176,1462797287324010624,579108816737089856,738941448127140392,2932860808868079024,310396252447825348,929871304058559204,285717847682236218,2956199385097756224,1335512650393253696,1936956066396683290,156781996311511076,362171189632601916,493098488281140976,2133715456371487620,1616516616785015988,752449408215842176,1613294503620128784,1737411592537062450,1203979608901942740,1181771360331412720,3351167389821364736,769641437893665148,259251156171938724,82987625909947608,276682780912705920,76208270855022124,1017070593627078378,26994507681335088,315001180078713520,159687788755291524,1331007209056982100,965051304658733568,1795385170840632560,401728871306934032,940153737485383608,332896125141417768,2747794041301363236,651561022577623644,1425720261594355584,1529424908530789200,26072344902734208,260777343736297440,1738874931158601600,2102836924961494032,963741878561119248,442555090526216248,706990521215851600,236611757524935744,338086578816728640,2024593803802834390,888474432439008392,378367638366928080,190235448425001344,400805580587851376,1206984192067031904,695270013603041448,1321585219890836320,1292337682807379628,427433111532785904,1320594233757125148,756111855077853904,1669645888552570356,1050281735569650528,663960420887597568,161798634108266480,1147561042695280506,2060868668911130740,2250009939854063072,2013398491998223616,3058506303424744880,2443756559945807736,687810690860103432,627616685908527680,287339126751248746,2165833351715631808,918560164534536636,496865523674745696,1120439420195756934,313319143453064476,1110039144483565184,103964671013797816,367543437899643824,627831430647134120,3195846554635264192,422576439774963348,865834183096762922,1140578974780080696,748280622126781696,1251593213349699584,898776955997083786,1279682664833316432,1624722041973981776,1209265657022585064,1497314428306238140,1260378072710159052,2709245722915230464,3435466182683636808,764738932975776776,3105422861528024128,47836333592382468,1116409370064958760,1834762659877041708,148023707057862846,571828814908952328,205430653239356144,3007049916657092292,1981003350374138412,2030347351545822764,1274369795892297088,1557429866713953162,67710663547989024,677244823859857920,2495767525293994896,2544863241432065382,1212714522348912920,541535696782278360,729097524788383296,2117978280884797032,481947662317438416,2232162402955188144,1077054703345563904,311502434214277068,1577340783984740868,52040937658497536,2082061341678407680,11645661184843172,1048322831592297240,1203473077145753088,2913761450928081264,819021239400936078,409583622185324496,204730571966020524,500096905035938312,2703404225467567440,3159291705084788202,243614835733540080,490062823736513904,781617832112161282,1253587407350251520,1367915025046098000,1551516305425863056,413042850856646508,1614362104980153438,417706799643876720,551377663232853072,155435451544068072,84466621134040366,2054964518798775780,410738975525663016,2544233743328999008,1137420951393384112,358425242919630264,2284968935430750464,448592543748534508,426693192657041100,553502126051250584,320507164913468512,896062863982075014,1135823110880137176,615284022885868544,128502778062175456,1606609602977983100,1006323118832070972,371788156302609516,707738596820686056,1642188340945946430,414792020951590220,788295305730020592,63134470207592784,1473435158623016820,361860500125922528,1053502128903339264,45057773182853340,90133733403759060,145396232221792540,2326809047223825920,1162888066509838144,2022317139445141532,810524763855932196,247001117551720392,1933774842772362060,1868202969230758940,1450596736161744528,1864701997254461760,1312616988594053280,1324733076773926794,160393458461074958,1460824172916009140,892568785115394336,2804690720276718112,38795867320488152,166301451054781440,816516902785290392,1454512082708257720,1408630881849692020,189416947614340312,425771662872616032,419160819937409512,514341719775017472,799109232069979984,348387023950142576,355193081437412676,1073956950128705622,1745706358382507808,2135633945213598680,1286332518963701432,143216346168571402,920600365331430784,817663919284074912,541707936133160424,218237928628926276,727605585352629360,684029893046288340,576016378171722670,3449732599146980286,630330183348146272,145712871535761664,866112605097503778,1235275993141581960,1620812179638447960,542450758007197728,812426220647064030,1519189705065320490,791558822179259904,867207589533993344,1111522316978860854,1435388455048532704,124183971680135296,2173653825882445760,147178055913703824,1104055944539669640,679524577786123776,1569252300817008080,49220982235954074,304825234614444204,598963121059032828,1343803558975376616,156390813154675450,1877064154199089800,283620379268913024,2836769410411797120,9702360453205288,194085893787668960,516172336518062544,3762660963414631356,199307028272877658,1562548643858615868,174677291447721480,776498123406649600,1192295352778779312,374875745988435666,1438396784294209096,848698968126627072,681950980493735568,1501665074924098008,1456488708187436672,1229357892814603776,412818105910785996,682133043818842590,100243069362697716,1002629902122083880,1649030749578916774,818192235004517700,31743533350486776,2222488601188023840,65957091446451614,215376944592081706,376544547544046184,1681459329098830208,1619416311111412680,887119729659931978,756067020244333824,1555765159505991616,3545545690081706304,3420290842212457968,1890999284963409516,153607570241264880,2765484088359557040,3609620123617620108,2239615680035976,89602367499025920,2016452434473318600,12265306919327630,490709380840554400,3016718599775626872,1152833735969742970,75678154039817150,621507811543005632,3875042644749351648,578540393281661252,214621698070909792,1081560461746906512,32966011362484288,329725247219325760,511016865022875834,3267686730119476824,278541076077278240,440529669064573704,1450719380125412488,2271363002920848768,1246536873539284416,1297441720486651068,745650837577634248,1037927701103614272,700068311910149160,285576446459415930,863879933441744422,1015418275972364736,2242623012271821396,251699893122833850,1658753850761130660,452169891618783936,1832287055085377856,1454324155217887488,48043866749137072,95653982044402236,2870184163826026440,431504647190789778,153152436160726510,1531825587638259200,3327421303109035728,104435093591084728,292045970699613144,112452075836674836,677565836435009184,22677719584888300,226821744983029000,469830330669411744,301891905582056400,533671849918758040,838035168449992620,326215060407035868,670455732446079672,1303016111848748304,370814020119858296,527749251150689280,928196515076652192,1759710735346927662,152898657491877228,1061892992804956632,1670397524757426864,236619367628692308,2250100130587926016,745134163845994384,486799119998444544,1076348865200173144,868933627199863620,846736628268149892,113629009038882672,466418915003274296,147703227758768500,286832393608842656,1259084300609969408,872593423526572504,3361832099141276124,355937807074161648,282151191457287512,647477428743115656,174446350471909164,1161596543773304376,251756586077114336,2035984062383120080,562951184119699860,587840695610961312,221914894637735544,2294361868542842736,299178020204134752,545821186509323712,33791254024740072,289695796388548920,176478475381373892,2059316871489947720,881398115460097504,3499509050662219632,774639202500431376,625773406717826640,3241996949845874688,2941929520613641936,1040788090083480102,1736351757308820176,836112109800224400,1363837760351896820,1592969086436392,31865578972052480,717114967999905600,2394810528577439854,1898953101057953136,99100710345845300,324008051599108736,2839921995887321072,1090986500659621302,2698674011062126032,2797131500561942768,2114098739202828456,2008653737644166988,475141799040277692,1733554113357832864,2062703038975239384,1233112309877707270,186344374833296400,39164418105156848,3525481153716437160,2138111431320693504,1173088651403992260,258941145138907832,1841404541639538420,658912813898731392,586477468883054352,575243595022496256,182326944214184234,904975784793193372,823109730951079928,5395595961260336,26983200610617160,944594753652932200,869415188517652608,689204894756287032,9472704732740270,473726816720214500,63908670673281616,639210235619557280,2242797426267119380,1090503147442035822,3426769212593136832,958411914275016096,1557814772574949462,3136291285947606432,2021815420528529024,703704806054481660,315023890533973020,331631661155777710,1840391719619516784,209306793993998064,2057201471821001344,1656919762814034180,6520907701974432,195664940821471680,1543261649888706928,639497616505290116,2724795029697971184,3239194001363714304,1114390481598004884,217998552663191568,363400874672214560,414328679649658028,2799254178061978,167987571307616040,2240265235487027200,345777141783367728,2689895038760504680,635047493271069184,1235410218962931288,216362236193797624,961900071910478064,3530488498071960672,2382330982425071832,683916739340254240,191802123827672082,219640064667627084,541782992198177128,1608315923770225520,2961749754043245972,359556371419119252,137638659111532432,452999587723600448,2989102019833032464,369652162304426652,410803382102408880,3702440827073916864,1249391576494528656,12669199224865494,295671294986420080,422468489530534400,495106168558855504,937738567061091084,873983169857315780,2877079365976253984,1424786055340682328,1605927317563394770,3901878720135323136,1503557793517138632,842832188747113614,117822682050532544,2356904276422223360,660431460133736096,2343019639051385874,1709869968072057060,67146798322224096,1038220678382132560,882699670938104624,2805224139758901504,257673454239511292,511386160156066200,235442264845987810,194712933039500820,649166978937195200,3209406208198782032,1208974212422453022,2495793101910619488,2315410907954874408,425995214453024032,607418963205788034,209845407769229646,1664085897323195696,356061457296286560,173187764595146168,3031363232255796620,140614892835346084,83169738322777764,554570492179165320,3209902852692317054,1962635931535670720,1776415823515097712,985468757230498752,650636118734517872,1822894288027972768,2893188048331448168,1205174737456172664,1710699340179707136,154509393796862832,338378365970942864,16611394255520206,830727508847515300,2345436316312372764,812442416515524420,2979927607191832080,3634921573400286736,1351285098182413376,957243972318137496,385892051545009464,1404791586011269296,953154715133320528,308483478518970300,2203871272328752500,1570366725460465488,181700202321543136,2202321873062118080,763201521007378616,139280551199842992,2437871403974158320,203386732410024364,638569931297151856,1524027021203522864,120297951992370432,1804810844689940160,778169993153939568,208224615133369632,1575198737263694452,747229339194279696,3610527571774929104,1444758816615271990,436943853374091456,258748663925577296,1196940498618301150,226509850175861850,2718631768002555600,906163714503053532,401361440911509792,885785290461982456,650292448899721536,430042626865900272,336944102432693970,1831490253230807754,611808657048163552,588640535182769860,1887500030123619712,5461981093509450,54630110330922000,301419649160382848,2260425500627405552,3289513647237628510,1375051709960293092,1366919579859296816,939923607552549232,463923671537415376,2166860138035773440,532199327822778864,1245952362911502978,3027668169831286688,45445920174715760,272726827433198880,3059397492242386162,120757568152787894,1315200852194437120,2148365233761801600,646333261354770220,1981935293579122280,913613196762653440,3272747247616097888,1541942049414346260,246444696414321972,397800209942874560,338279811890953184,90701735855191218,503993126303736700,245123159151498656,418160169680696148,1340636142444382056,1031002947971678890,501545216690909328,2003649250007984128,945902711616996770,403404311875723872,483067884189723712,267341600357514840,1782611304826458800,375080631484441988,2713281329734713408,1006239750731764832,713067705052629150,4123304131143132,144342660216189960,618727184786984400,325244629749625936,1810080724083757398,442713522052283072,469091135783701536,413166613134981714,2558981314376289504,3227870454325751584,2648666392969585184,3198325215273706112,1436337312647080370,123174521432994304,351992943495623680,1991715059285573316,462929704746335416,2404767877664176388,304084239635280132,547782798860788392,925420575209850174,737963663288475584,2826835329247516416,392857091423152388,512966296112912964,93066019877699652,2268709835673695180,487278918547585108,50500676076926190,27742331947223104,554950011646083040,1162754719944043590,388977198738920036,702638123131142748,2121358063429462508,1473503430698196408,1017936939301828990,1115751992456488176,850911151247425632,445658259743367450,609516412576186632,266390190494022924,2867322903914066612,1072426277524512144,864300449518123470,35385816456567808,88480979765896960,1218043506739283478,2056589819883914364,2582815812086825952,1343343232649747536,33952774121457318,75464615787109640,1509572454605033600,2505322679468784768,2372582986248253492,31709526181594482,1902924475820914320,2339984455773984576,90716109302006328,4082981753783071080,862552246917795456,706807121016520272,869852830632247616,25817639425287646,1032896882438551520,538404010763991540,2116763222189152548,813961512752979370,1483774422083635136,3708375180620388624,1089659575401369232,1274920309175798040,1200995193049763328,459470328845679456,371969900303010728,1246714082677625394,1213776872375823232,289381261312515424,8751939516775510,70028454699705040,1575931355006461200,1220534525767421072,317832579003497264,285394861570765804,2775322427714290944,1991581541677680288,1732164119063784280,1881344327932412624,2879557042880975648,1544195633352286348,824685935974944732,2342431701238877990,897242565901389824,554992801189695904,2106362930908023320,1734645079496898240,344217428425133648,3017618601528952096,1550383971759733272,21750640637049948,290061952119605120,1207161468203260080,3831893152925175904,2172198105141840230,4249879674552045864,2190272302709392824,1305073326211558910,754694509783195800,3469152862451277696,4146191388323215344,1966440494934627152,312906439808506530,1390950913603165600,334158970018087312,1051609780894098006,661714996827147612,663379021825596960,1425753541757848576,502328775333155274,1746855926142132528,1692422855049698408,1902552636334520576,3471382284847620102,4113760309943912442,1588270174239592704,250340039768756064,3755789271043632360,1991368553269429152,3726212618866224060,1250929223798945080,631039130266061790,1932782670811116054,201455423210830768,612831186760051584,971256911248159810,2893268894240126388,1320663557579344932,174949541938395612,1166543768864996760,482867525984428486,3105008727515553488,99499390407842128,30233519369235546,403187319742820560,229430103324512888,2622537735717522560,2109424413652562136,503291265377507870,153381104908989440,2761364354910658560,139402235020680956,3341213237042053536,1620387219862402656,776050071798069420,288809550757086420,1867890188040954688,1630502466431362944,821283246858258120,2347403309482480560,1897090973426376,31623950022808800,379556607413865600,717079580422677910,1366963986144209544,304255025587635696,370077395210887056,156510905825835064,2739439873887931340,485395218585630028,3119004303681441476,185858668038900136,464731272433175740,1182427998870904240,404185924848061776,1077119764406341704,1512772381549438324,1793927860764879456,186525425018909088,310932249072491760,660099223439068848,177848836464793368,917534061973249344,112533350930965632,1002421378698689236,3598218308833437632,611809841778103072,1640795947151428716,832602539795844090,2224439738759847840,1368780467145469632,2516367339409748672,973705202880889780,1415554503123797628,581661725369901512,448089744109734090,412504920952730352,187174624889784128,1638074940057412640,370505787041842816,1545359276240591004,225281835651522200,1128518922033696256,850354484618533848,2471363163204130496,789066485477351232,1645431298386070160,2989211327212632804,1086262759179104676,1341893266122019744,394409144318790872,4425021827132681862,3796610692698411952,2422512035654750144,590520104470947456,162317065717344282,565564419969369912,2129696733226207760,2452316963193333248,100196503807961444,26765785881211608,133853107758289920,2097914373572207712,276868457651186352,2076888409950003480,2465682075352799160,477996557453284044,2606132351057953872,1438380762412937160,1204058830859203080,468491165049819744,126377149267232330,758399649948620580,405922030722210080,35585367516055812,593196372897004100,584954184693995076,1849991350155808832,809525315858395240,393316092199318566,956859355974044952,1913034923831077704,1265299999943363136,2892884184370736388,1128605589925611784,736430653651726416,702588794483982336,710416972154007248,521787488394758838,1242860713318867420,2575270786793940,60100456566996300,257619692931057000,1084669573667906976,537113369562704672,2088041318053605264,4455938686565837124,1890972581674911856,744860348302775964,1475543373173550228,3939823495461483162,1576021459241143232,1815272664943100608,439835588493525424,206318648799857256,139890218298021856,174894141332259160,760529965399856574,295392464539193490,844129799292292800,1844848634815801088,1242866756023860576,227102088191305992,137477500434304264,753212103009447376,543311498326386388,220111620806234150,1018033606946442320,305363081244432384,1145316556690901280,2881761196601180826,610583995541043408,215710771127663904,3236240464042335120,861768906598518102,2745005026495861632,73298635451811224,1861976693228011888,1956287053192127688,2319892404607484856,299701831138302320,1243301574776704530,3870215868824192032,2643763267940897984,1795890775307752704,2929534859338191180,2982805450085822352,1982860904213506548,1585235225397228224,2387830113135882610,2364409456322734422,119476142384293520,383099831196881664,820870797729340332,89955647061460852,2784152642894044884,2317890865358284060,937362496269370192,1004480756683012224,167416707996046392,1003083988745367936,987307630838532108,1241857012889011662,1124080158611908272,1140486871964280540,1349384263871940940,922113300559274850,670781083148106816,1678182970601847360,337560380490790764,1425057909502117488,354498257510610948,1969784981097394600,1660509637866266216,980488147040684896,654858638310934512,1342466515768481792,1165719964667038466,767458016030688430,114007945348658660,228056387533753160,2109891445017575552,463377372620963080,1047722944964568768,487859266431451888,2699695667597222224,2426783967335901712,3068639319412145752,2415480558267863632,842303255524081288,1199455639152549912,792804314597738592,3265378766830086816,234418362577111356,1129484776664658176,874350428081057244,1864084704995963184,218736784967558388,246649537741024272,1581952928709793920,385223398404886656,1088426966585624848,1334233039834903250,775098353843095352,331601301586830748,2222831803874479616,1231476134604956450,436840694787638224,1892210054129417856,453380540847411376,958724567583955872,184627182359229112,1626718919931634540,421932915606436304,566869607662204392,1513015938959222960,3914802825570745920,1632862158142476870,441132840347341584,700821825047580224,1144794371215141780,516855504174564088,89658204048867940,896740222574816800,1257632965493162496,126851201770241536,252056944077355532,1949191213435147136,1188677091629198032,3862576138175502570,1560470050438857012,194485523341351424,1255698894712230024,229331226813765912,386235392240741484,1885700428048349528,296306396089414200,2778851701413165552,94998063252369956,950147823421604320,1487030419274027472,246989165040325316,431231313942616304,702494021692550688,151123206034342568,1474237163934677772,1618982583274038570,531606347597225088,2172577232872686024,372793370125750436,620605140309367336,20043198424784348,1603737509997909440,945487295283029252,1044948235400420848,1707214056534424704,1162841776187395200,2464143040429007210,1360712548257269016,3568947627711563776,1854318652297090080,386833273687863006,266535729770794512,107539523273019200,208361233874479232,64105707087724414,457978162129606300,1616403923895458544,1827915501646119536,4257243602064212508,964273949945761104,180804101477570272,1896750150715229936,147346687377874670,1793748179957010432,3066291764297244928,1462632628324716072,2318971914510712104,549219530295532348,362230677037184800,2175386715433075648,1073442069741261570,2535166468032588560,450155904804990748,788032007284276784,3108885948482981706,372596948368966696,129947103066983832,543795132059460608,897003770530593900,1868431503790012896,177475466048012496,1331298363257455320,2265505528796797112,1052580212606451508,474891305590445504,590883708882501320,610229576101265568,2977465833741685704,1317279027364193264,1835165933505386208,4448044639363483242,2147044237847760818,491506871353184840,277896401298639536,1820849382043921710,476970101626053558,130078718293973484,539244675750366208,942123541562335600,1168871169801717312,3864718274634530208,499319321904672864,232506678620929612,651333495178940640,810735095243399592,845949272304871700,702805281015475488,1867838102775513414,18004728295562272,630275033112376960,1534744927924089064,218858186848079142,603954550561723640,1216975785328339176,187171447380287706,1600513423720960290,485850020582522880,454376801315673512,2423415212743862232,1664100318462917096,113286787661472048,1510752596726029440,334944958540479786,483689407318811088,3117448579545904032,2486178581712204512,3539970746881225888,835822557880977528,1359098668958035180,3475761757524183924,232007090252486022,1472841851810570184,379802978281285888,166180887245754888,840307716186355728,74087925873873072,1111511283497246880,786593197444417376,3678180213466157778,902585625852754228,1786199333951058640,2275627869977274880,1970678877569360280,1819448432581338588,1733390261435670000,1567443758807916792,726445591780882792,511728715266979892,1433924431913711808,291795973957051704,1809455020506859544,2160237155745781368,3817544847229377216,689679955725088608,682863305224877684,2605172952324264264,1740908746593026640,593161947183121120,360437580771681470,3341782266175198664,743297680139349636,2132075531616133012,2193325716550220650,1286380392525911592,517245303791711232,477088490400769944,41467580517849630,580646165683049340,2460491247803297632,4187826409591312020,475894667964432388,527882652034194906,449410410698866344,1076397046544380896,1207769906619276672,1393682911004954436,464044539623623088,3665276865279740928,797160835680433504,975095115708168882,335831026238592768,146277074586520864,1040879014763820210,4606560443881930518,1222929034812514764,1647576622946207408,453783006908288302,696656834150418632,340631727242333744,1315558321566417760,79051306327149030,225899655421687800,243666261255982152,288035255430880884,1293858997068519650,2940852095295479064,180906140757621744,941267124844800864,1781300506320368852,3119840519964424256,1032157781091343232,1922627765218795456,730606905211117662,573399204385485228,481824781599470960,1231666828039850496,2261097753213466850,2546319772222200928,146973212984255720,2057977327165025840,1244782574260161720,4344873627499014870,470738522692790240,2077565175676327320,3778681901461091792,2054875961626308912,801023465814400248,961216831433750772,270914032963876224,2709603549559845120,605470241572027776,3149133635014782080,1242708722117257170,2266441389691568376,88239018008145004,2842682756294408928,1950933130765732680,1686663054134408752,2631308156573146960,515422711080791368,2031021753799676470,1474061900092111768,1037535661629843904,2186145950229936380,1340181422634048444,1732528577893833648,638941669690699968,76605863989427136,681057115209746240,2907000602984836998,118424029711000832,127148891548776552,749812641484912334,82139118172020288,821531106264637440,1868626870718795232,3755386148984717200,923069790154951992,2673418015369762864,799731911024096988,335015022431056448,2773193018985940194,867323445375919760,696731947109945824,3259779739150697854,2510139818498484648,1897165531916151728,4527134044264404504,259399518615542606,473362504488644348,1474684166466487104,142411441647796664,1453115419229952096,4046691321370843236,251335318128456496,1171630386629003952,189802894649991602,2443063889031779728,1196851745951293320,1359976268105768320,128230151845749900,439638395783059624,109206817538468832,2548591300072359360,451739924867302692,528962135833887056,3108338378243414784,3549822611729624712,442098026281299076,82580197189416388,293780606057022396,2493418606704215460,983037055077871290,220678643176990464,1379475090984019200,578140535664595680,3879255631262735934,438065880228016164,3407755726316961040,650619106451846532,1709725028275336194,1502781780820108290,2378986464539775440,1194754061685073344,3521901016628722134,358575270796241964,1154202904550710728,2260396539781693572,134883729207528720,539626084508015040,143809461742675400,1726005057020284800,206434577291976410,1847951779725230648,1384216067888296224,1782403167930278712,1226086900719759312,345471893194769894,1235913654729163520,2998236440180349792,859138265780898852,945798197124296472,3545509558465076888,1248145363042831580,2846401424745923744,1733465348293164980,1275325835549751280,2045436698516077440,2054647536111050628,1265492392391144112,1506604555071387204,1601004667497794272,1968718223902968830,1486556534778290384,1750824776232231952,1426869510706971456,2449368633794833212,843843061844726436,261654652951739320,2117973466186731216,621038147710939032,2300946527862622990,1231395075480250304,788585266822366080,1659236395389073146,232536681323306318,1238329932645121288,1259433625677206368,2498843850641274640,1450528520046672042,3220921148511773952,530121005645289864,1849220918222462232,2568529667093247136,2086092825702376880,2243248173517895544,2553387536817217880,2373966123131953602,3879965912200251008,42301529334972544,52885780157659540,3173678930581832400,2212152112737093940,1035540805254080328,438700110526303704,577081640558697078,920611037472517104,2989362215088164160,2510650335879936120,1011185159960409588,472147206217969716,675691092005477780,817458979219728192,189437533322563750,1624022066394300000,63969944639031040,79975810898423300,1299396075814910710,1755259014855693024,606010888640474064,932220319953029562,1758525309714804904,1052224378125272064,1058690009198329536,1938348296528734592,2083188542743319232,1707047802249992220,507507620961954816,275820811148495208,1039992487551515554,1210731781088846016,2227531958588018448,1549885129791014740,392996257799928230,978445507461602908,2203141581538659664,878446615416512700,292038663872391380,211323091974987120,422716669939342320,2166176871615186910,1613421580571237346,1994094533884981072,628853825053232376,3540683701929206574,352154297165697468,1065322005213612864,246427157993129984,1467130462717119480,1982049167949521310,245315576848692672,920086567475861520,1757939307569188550,1541207359737915744,791361681570951936,153339202794159032,3126009023297304144,822143440535249392,174499804743601456,1644178327929481660,76530629544505968,510289015422672320,2628852432892864416,1964427341022731136,81236494656727308,1083333226230887520,2124069290546085056,1432200699584394624,1671267710195941568,3292866423811457766,3124231938572287488,458415249152962760,1859993184810431510,1800627348334481056,281991816690186752,2557458058564560576,941247501728027900,1717639353889325780,976128097403338464,3751408824102182208,2243375731279001370,1089993318324797052,119527282866835064,724589909458722216,2935382759268052692,2619176931365549940,645935320457900928,3489548818362239080,340064155756657430,1203471600392232018,976749482251570048,1277333211865015920,2943328338062206784,2390799380520558504,156505052047978984,3769439367895924736,335336622103362768,211339184992783596,1100709471148292908,1433545895731231152,2793969284596875616,476371061482777506,1971078048617698816,546199540312354112,2127938787764814472,777996159186491188,54201526251309292,2710523880923702200,3414399672628583002,983729516060126632,1064162036873620416,3080583117147443712,89127070821569872,891417775106563040,135097927002773952,337800532214963040,127154529723295494,423918330881725260,1187569758174573984,801913150732949528,47123846409218792,3299212934257844240,1271474171082720384,2156065144401736700,1395036790872257322,252646023881985188,1309571395407257856,3147962972613606240,2079006988884046802,659358758099261670,2737625128739316340,523238497742985004,2236144520478322384,388049890411649070,2587424868216302400,458282716383482312,354738007313821656,971044288372616208,448358686388010112,56953718273892552,189876933282133720,2208539692447097382,249056448208077328,2282652512178628608,385115180220143560,3702189505427287074,504886813645298504,2224299386700771016,2093874296339581150,649515048626222548,975769844659398400,462567719222766768,834516857845506464,2578109988623396892,430705252399190844,880550225500637624,1070710081255126844,2281908040804535748,2435932119678989920,4048035348892034304,449688923555665248,982814908576466030,1839335303463967416,2399583476353348320,2100639734020312290,604054509876418020,607907027615888832,3218313941176184424,1351502526605430176,198488175343553662,1134403788553135520,400410669406113480,793953831345225334,156884162841377088,1830614641339930880,3186803241966620672,826792159021189296,2875005662574723132,2134809851112828432,1383364261086414192,608508292784867888,2516683333551549008,2229863120497452480,2707827606483015968,3767399036194789604,1543703458445301016,4752393022626840864,282715023701734268,401339092327476240,3010534541045267400,17344377779307384,346944164275490880,404694464363845956,355975594050035022,224138804990059872,1720147946030772804,1457664837757212468,1432321594001354756,3018560769793928576,434897450337249952,4082790891284438238,167661950759789576,845063453705703876,231636507510955820,2316742391266137100,1575053378978599590,947762781230886496,1127555797608303104,2065480483494763076,1149394532799333450,3691036990510478224,1789155407048931628,977068607704302204,937286596933535060,1570928995580508032,12797928891886784,640000502432127200,327941058627485368,1047103595634383376,1058310453457776540,2208951968202006990,2036984541414826888,264527534770085792,308287622342430192,1407113553695259906,220378475153880628,4218677543632446944,728887766103305844,774201567132670704,1807353626824853562,2761254479085170432,478948325350023280,1195714659748401966,416178947850517908,402246129785895996,886129039422643968,536151079428017898,2906737905780789822,3440853681892552640,1523811674456860416,2244532405568360880,29650099001657152,74137257621402560,362027296218388008,514880927832331704,664358314744335008,3237971702804510592,1749567935736175240,268208900790395168,657642052983929652,4073209858147484064,248927111067771864,3734510805267560820,1542932001863130746,4160893954433763008,591365032886054336,1065998523423908736,1467212994830070816,892737837436940712,1457092813910344576,813554304861603948,2319159799539616320,1272911038419429504,579967643276284256,88376829664123650,1607171217385710130,1608093656947482960,164548225224540088,2341121986815208506,3152754537103262052,126040227768319056,807372459245404032,1098063008464297820,2534349302814274210,1126323149359680432,562057429207288644,550196417491051554,1292248146146298354,2900672948218978304,1463604642039372672,921882144983790920,609081943304210792,394907864755552064,1861243635647816,46538586023181700,372368650561112800,1466747598762638304,2244850836577468416,3289498569321588336,802929579510634156,558513701734182948,334989760820756616,2792030502659924100,2498861562332421930,2865802116487142976,255484600639710368,882249199049804712,915054575204323120,78309845997183648,913761726863976480,871348218919204460,228663539686882790,3201803925376933520,141907746300343296,4257916233573338640,608656540831495344,2975162178796770492,4273197283147026780,1523794857092419324,4299962668767173574,2213767681906923072,1548067626493647872,470302299892098892,169066454350281272,1671228375608435112,4659699781281479976,519886401869663738,1053668083564838532,327086502329511312,2180926224208743040,1383643124080125896,217056275950784704,4341821104020892160,1592058963180700180,1036296274284063870,378347359774268608,1419029810374385280,371921062982531712,621176357541175128,3749414466535635456,1127931550119781272,1223314341120443796,42171094678941366,843556831157381640,1660523358516156008,291590334272271552,403192533983132466,345929070881421818,1482790188440006040,1948976033464952880,1448422727045410908,273762812478545288,1840637511464973312,274732254979786752,4121642134406960640,89351179876962752,1787308988358499840,2623492589224442180,470482250337182024,108499303197562032,2893776565008706560,784100517352293504,1496427939209453796,425069114849265272,1241937474537425748,875012540811851832,1902514824946900752,2537248618529619600,1269615125737142080,1277704271971822240,1017590992367329890,536482631564443930,1344070394363091288,3684179401946233204,844507717970120806,63492392877126592,316821663839388680,61992481869362112,289084444687976964,3373188772786736540,1460455791880847328,1022117585298400528,315986462575151004,1793264895816884700,891136161240361120,513176027810535168,690009312525851060,1174568618951958020,409484779325625472,97815741583655136,122289112684100460,154065352265625944,1775985382205683128,1778035282511073264,989022203771459312,538156824161915712,73695785530737068,981012481108189992,2927715914603198688,2322092347113657728,169230078413110800,2031083260353453600,4124279903636081680,2252854596887852528,3721093903110953824,346161511897516368,5269629968724172,237170955193318980,1844955487042376800,1687026265759744640,2003211071191318280,410037251129841468,611587542173339872,1137452008553279304,1365517526180944048,1670227242610576776,2343443894636254464,3631923009841857536,512222183875896718,1555252950021537228,35865437154351516,159427173952398560,1195893041627747400,2656463251818840620,776847286202283408,142703032903526592,2198612172511376416,2217381394927781040,2003424279029532940,1645659256928944656,1485921595310406670,800646482304735030,2190903510349731184,246093100707091560,614177343845975312,1144847649851017596,2832036698269560768,309204094744282848,587471485146420882,1584440004697077542,1062741369450737296,232616079636247808,15835471169602368,395949255096158400,1070840083003891460,2449069258869181848,216968935822122372,361671929365731140,739844385862397120,2909695308411222576,1365968315547045000,4183926323753674640,46937217558418856,234723073925504360,162658682480399040,1952211723147728640,2516155543040626760,966634971958885376,251100234134792740,2009118199412539360,389071323268450368,2904245970623183592,465492173724592970,2109257329219796004,265348677462132544,3412162645813016640,938155925311470948,911656930358806520,2157474757501552048,1559860707390087492,572998149274378272,4064185233837535632,1313276567112702768,1888654000400301888,735883647506684250,261201154810560408,289326652298098544,570260825196320048,3167561039503632576,304018900440402588,1013555461641345280,3768596921688433632,237477154537012988,24747180246694288,742531920958461120,596459543793727936,1640051814125813660,3345577235991493650,2040108492560898816,2606313779622035280,1114069980868406456,2323585086244681378,2861311644978811780,95628489036715424,358663037227274820,215009716879372324,1228819460594382080,1113555723929185320,1701921252024345632,1227526415256535758,4991972033505948,349492757058890760,998707065631993200,328414744514926432,3312145134955502280,901075254390254080,207590239466667512,1557170381475993180,521826050941068432,4939132286646298944,1403349495957100164,27272441859684192,238671176098642560,1364048495670470400,978888139197513620,1984849674284728332,904918361082790376,3035808737851588468,490592326853050716,801852771586325956,2243571790721273824,1383496939120394176,2137678389363567160,158910705858001972,1257134085861534312,3058297918175105892,1887799022376457640,147201473347447344,3312549867349874880,1507625079609449808,2519969184532991660,3189311775762060312,115667930075728928,2313719271457083520,1644976872632295384,1669372470874422032,328286964141420328,1055004152007761760,2925292529505553350,572768433318734058,3143183542037493108,768010252038570184,2878674508488793968,264571328157729810,1789179411436612608,235311348122838600,2353479711307558500,38567335679795104,289300024165524960,754088861893809144,1475090984173231296,108380283193497224,1985032910930859488,260917656408815072,2321986863967116912,685311710498837352,4163930692889472864,1000723090340660912,894903275051405256,291969898973700990,2085823251413148000,105089460451496144,1576586719125911220,2731786329095615160,990791723694757608,2842639807963516512,132633805861479040,795926344218343680,1187189565613185664,22099681848688640,221031103605639700,2211522681831107890,593885817291136328,108632072780757500,1086489168212912500,807737532439699756,2499361104497290880,1397550978171329280,1740703976159219744,1990491573596887746,3970637930301275052,839864073321460116,876316765516651976,745300588973082114,732997695121759008,282745552993041824,2019923745752876600,494996142253647892,1781549262542043776,3177958875172023572,1609334700879084088,3334012838465172752,293865159226967424,1632836720872873600,2158894275822695670,1011113830137361040,241847450724116256,428910757711835224,3322157476976306118,698971966791434960,1711650183301229696,1453253376387097472,399929492028161560,1453243733974854458,2391838381424165408,219707009945622880,549352330705296200,1128650218215913344,1234474311471477504,1952993297377843112,2510124366567430584,129714122810579048,2594682690139392320,277397505253925820,1202615828077321644,2242460755816335380,2645222122171493696,3048759812408720400,2515735119529153620,109968119416823082,1833084447321850600,718156628861512792,431981250771211342,483099912373300254,2531911593502533504,59776503496716552,13504474458948344,33766384343928820,1013147479622065200,1211700800887941780,941083339829992032,3249421707006779412,367586728302572688,52851206800848192,1409582313655508960,3429835466180346552,2869633308790179872,131990703454273248,586715540098463360,827016772093082172,1496383651125042176,332818243019420512,1889821966123059696,4424158749709462864,165888378210999668,2800186569441767232,1974041945066203208,164634251269721916,907210067688074656,360639771381314544,80644771604361528,268857164031746160,2412307547635990144,217573735551901260,621734617853971800,864282551184289510,161692582842414848,3638641057360580160,459088565742139724,3272571936194854352,4551992780384682864,1108235231752262912,1899515950587636440,1911601579464146556,2974008886039469304,629399163429421120,1254070759625664240,1485430823110345216,1117652069307806136,406696377616802136,2711724286026569520,2640153000050791856,2765059527236169600,709495968357706680,1327009078414696754,396448568463960952,3529917237766940964,327820302629655472,2259903858501727280,3851749166747631372,253169310596125176,733525561214282928,94039211103995336,4232411279975606040,4038767704316493792,500305644312916976,816037588782688512,3361077835827378896,2612641134797904,17420267570922080,261343914518520600,2437602134488371774,2760793318289306952,194778597598504740,340559686639466294,2919528478953969960,416352597481714656,5353921492290339840,3240129878346068316,591695637739890956,1013042172209910728,1275859370094340840,146335382233484528,1042029326423697872,1193787052727705088,1293556891021132136,85580933079241796,1711879444522177840,265591829486900112,309978916515743860,160880641867190754,536350469722242180,4667096481912118912,3301545342176345728,3073795532518948512,1210764445915559232,68687369848943300,961769500194553400,1178414305862885756,3821608814355703392,5004734389503224688,398978295416409912,247151134639484448,146028983050596940,1460511828275289200,4565324851835957136,1709411115170130176,54887567476739856,2470315828969362240,659070586775234816,1930589369672308590,2735941795700207392,1597896681493166160,3326678032432862016,353011245665475060,508299716565831530,412192262391960256,3957030584608752896,981710592630298848,4375064799935739198,157448318579655656,1349761727124782880,2607648094899787836,661876540100360988,4481993555262290088,137649318938617888,994462068032469192,446546279997468084,453002226491512216,2240455623283189780,240666846854319062,1767657472387089654,2632898017868101728,1021840613593251816,495133448831515088,254108325155485320,1524880771387060320,1390774901630294976,498567553020238282,266103608788241432,1054720956917155248,2260934407366686464,1334633791214722306,257368923472479666,752684603496822516,723921179864470056,1577308609596717808,598854692296207304,1694195816896896768,3149800508572574464,2334021029495800288,3894969410837907712,26083434116964224,195655307036861760,176933618176477688,884801693997916520,1002268117878474672,3632393386649761792,1129038798338227032,1166965718665777044,477740129793263312,562984223714293628,909806679441339708,1195285055900801472,3869544588997712576,141652522800407112,3777970263599292320,3667770133094291792,1600286327109540540,461759077391847900,1922346197241187872,938034933432147900,2753774448098405632,787528076675435200,1394576011098159760,2447613635611575368,4020901694552286180,591621867241743612,141608185169351342,1369224720913325528,750101143630476288,58595418502881024,586042368550442880,3414597486005167112,603094158654765044,4270202878541637152,2253224614722969940,2066050134289187046,4161944486218276728,1038677061672422352,2029973796203158750,3526805987478978984,1750142342772042184,162150465848712768,3243496622908510080,3584780701718860336,1133104784519027840,3874953253951085544,193569904802742282,860439878306914160,1258383318695765392,84592913207966660,1167983277686307610,2991978081473181612,172464032882176672,749142961470336768,184836766280355696,2310806177322419400,993685023971715684,1483591978248431400,20244459221347244,1822274513539913160,1479333108518802688,18062748691755664,361309118146012240,1448767663955247230,1328949568136111832,534503506598875216,434391902474218752,3304839850033705214,1692424295723482208,3278737067080598016,4958940718525553424,2382546968808556608,2988431430434713116,4659051347702642688,2048830223501428458,1404916907353637604,1519224256110741952,762833021002342304,4274013328713802674,1331194337224620666,788709880621412904,252278826964358064,451306239923138684,2462318871395790108,410962159877367616,1664671211807027968,1870719878004658256,1832322802225976970,4683385206857746400,2174844842620007348,106781233346929160,266992945788596300,615120412521145344,1813189333812375672,1323500136056063504,2949982313955764248,2573745711974640520,1284018551649128736,2028095948683151046,429847772870889284,596770207258168112,2071204328310808880,3956160597058563408,600400611552944336,133186430123086236,873236960390735136,2116785681577875204,2199951408635797150,683981199446752368,568823748344268704,372628655908629888,27628008101989326,552642451931450160,908859989072306388,1113195698764978088,4294923626615090,8591125843706960,171848089239257600,1684574251281530742,3853303996504983426,2771736020992003880,4146578797754203664,1058451523393056114,2164103055305590350,3679477724625428736,3913986072353701176,103064717959424676,687200250822783120,478984887661294952,3167271453401757324,933039567210966670,13242045834154484,397320386987753760,84406088093802272,3798838043132175540,3999016775531204576,292282290611387776,365407100923137760,2207325063517752120,3323660696797368408,4594651999850812928,626690351838614624,1950651842872395024,292967878524057100,1337031280278217632,730224874261045192,2180797446998030760,3853750160889493088,2805355297496827152,975893276818167456,1161207336587684400,832866020179536832,433871084446446712,303862408460806708,1652859425508238332,1066736551318828432,2854051169760034816,456558896533784520,1885259669633233218,455140463457919276,2858029334501711972,1737259676835458720,1083589905924736290,498203167191709630,3732642074705321232,1229191879538122656,2693223006116725230,2408505062794739256,1374234553199343080,1786579559362180128,234461408087184352,5276161468135509840,1000270175412965312,41443639069926128,118427893682488880,2961134760049634000,1533128418705727180,3420663019674653808,586383890014395018,1707846436122233648,1047376804947533984,1086789988981050624,4081783727337453774,838616335934825736,444929891899069416,700631707612480392,1893889858580750450,189542071389071960,1895700288227948800,282962952992318032,2021461996404584600,1745263226338393944,3256560945086636544,635103707211196752,426609355537340910,2844481500041695800,720380676411722256,1889861278674257600,2056484653604324172,297088344260899450,2331196767813538440,1671250132150352328,840022739368333284,294299685394000944,3058109657339592128,5480836231330148688,449300211617712826,736757872894789858,3830920616935504404,4451415081489882864,1669185336571523862,2185958310376113648,1786726377394177664,150372796682560704,373238386168706898,3699941178945524412,4659830246031660684,155642173514913176,300788951429145492,2977436573907950784,2265265718499218176,50641841083433080,101298557888347180,1923711364620334830,539571532335911712,854118210612283752,832007790534903240,3660637575840538356,1179405601504026304,3032146688858813568,5022411261437836188,1096466775126826544,3594860177518878208,267090897646019796,2088211280507705808,833841886101163812,2673315805840312176,452050225057370448,563652865754043310,3980818583961914128,3969181480882593108,1221984455386632,42775721881192860,305585628282987000,1222521547823088000,3517605729995718144,1843686991232007552,942118443620162796,592771824789225704,3087882137326470568,3759608837911128072,4705154087538312208,1013424103344796640,1202954704511063112,222915401152860936,447257292773934328,973737454834809288,4038179847029062956,198490770966234666,30017584574884326,2701977520084249680,950074222796012032,1635603927766148270,222527438247913700,2403114877243467980,3048383816385953952,50602390068927312,506097805164795360,2110733223067494560,2557508980582317216,933503524989116264,953743987890492072,2429805211395965580,2146317607766610460,4451933594234129184,1544895906288029322,672985792939444096,831909766234630528,718672364097774152,529818390435017912,1378315585093136256,3170291719030316256,641623337236853088,672857073330843464,778618798191232000,177923548455846944,4003863138417956580,9275294481097274,278299368098519160,2639821491272105964,395247837205773748,435084049647121452,723858178439712576,3241183793773593792,1939041915481353648,456030310802392560,2850604215052857000,3721406433370182816,3883085018834255792,2440142167517635932,2035831224368818176,16671604275068736,111160190672768320,1667645297922158400,708969707580589392,3189769370182233692,210149433252773196,2488500895531204452,2314558549146075232,375958907749854720,1850854127528124186,883469134046000852,598315660280220272,761058243981122172,3134193440901452390,2686467190864369990,555720967623763584,922845561977746432,2375692769506677348,409523629083146088,543442142485828944,805272815332746852,941402653146507916,628182523359933948,181081102014107688,603691198177369120,2373038451885612688,2073663246180080340,2874416660686435464,26720730681087520,100217260870230900,1670529700006805000,1343133952267821840,1939317580609508448,717512038635324114,3806695673531478768,861720033090423444,634242179088253136,4309235635428036768,1214890442994266262,215013566824918272,930262537670222208,407834151940135146,1694413736384423712,3515592196366016676,2181418573395969296,2017709491338194472,984548795347937820,3251423624470265088,2065230207460977000,1741796130386061792,2740300960203821248,1345885209601865640,644508702185975256,143687557585416670,615892782897164100,524911603436207648,278283680324366976,2164741202777380640,1058194792578726448,489973105348254528,1053572997325964184,2143631178432507050,3979639415490187872,3397198065236668784,1452957450850953056,3399062203738082800,798486889788760144,142257734124543496,834079164080535792,106377965008722244,2531179497093704604,1831332982742199360,1807677432018914560,46825077210552564,1170795635332682700,3728977115396378508,1440768110786262960,1866481176125468784,4860077294785374936,1288200264292398080,43104817852264224,431110245869799120,3832642796068499200,2308640692402501536,1251010761066208352,1108286180243693152,2756737935764441552,692114791879186704,626953980484563280,2441037832676167608,308178995141252826,4049414456580847424,2214996271132218928,1154077227259708524,3130087717593602850,923229028047442272,527342846270956120,820534990442275372,1647031104398227912,1256923817366473308,2891359367557597296,5066575574697478464,528833083219255074,384258393747123504,4450789558096652064,1102773223741711452,351430300041664196,2585944290776737140,1456645064717816120,1323931330370224512,488599895458491180,1011500153572776192,2364941189893158912,329112151275873980,12174121701745302,487034696471537760,5142882846843756108,3262518644835154248,2395699679749087512,379192874913447840,111793899951463664,1885223963810707448,742136392209692088,4493197563103707776,1762927128828945664,2624828730489171220,434140565880971376,76321977935939056,231774263672883152,511502613496476462,582367289671033318,1928239832331890568,2392287848592476016,300854465885169588,1876423137599591136,281881279878124784,905929030455099392,484297109920385866,610163664525634764,3201858842888214376,34858344127625788,348633268684841140,1945061911823285840,2425888879852947040,619991106028248848,1008654601066054392,1500659930045858622,4126425821609104188,40500847309449852,405066309889388940,154353184039887924,2201435930350645776,497388590050465648,1278836642326447926,1457133562508664768,1180885729071801180,292966341504893696,1465040688556672640,3708071572334941170,437542489243212544,947192985717771808,3751341251540208354,1325929397216829280,148466827358830032,1979839873639169920,3547779841980487602,293983544610108096,1837658970076612800,2940614608260820960,2058107460437661584,2681817472683315648,191208084881052680,913964263834006548,440522996880997964,991226002123548424,2365407684511713408,189299013493117632,946629773517503280,2190270967943938656,1036346186527416064,5075535755602890656,1896443340531357512,174635457112284042,883036281668425664,499998118920362912,3452769811140376944,1198953532235404296,397992079742614680,715454589211243780,999313399486164672,2980636335821793170,412782782614290640,516915754458094488,3747208097614136688,485553179944366504,2802855447346898712,287541376337425812,914297009343959358,864702799640193928,3199710744796474496,75485291391726464,805976610388558736,1413231716347865544,1569524793436640040,2611085576065101904,4461669080263591742,2413114332710252990,730570091513738976,3767924328250461504,629418393140610970,4831734012585125072,432754846991856924,661261199379624160,108501783347394108,241149237227104080,4953638455516437336,519955378613120832,5697448000772542182,1717090177151077416,1790141470142166960,1203618780729231440,385193345166563268,571664867550798970,3739301509266270464,642790396965480512,441480924011545002,634971084979816256,1646388048354247632,1057393355128714656,3627643420302662754,1169480266311244036,5330149209598613904,65809255869940128,282079538660185020,1981844866971833234,1819135450552262904,442420736948035884,3441536388595338460,2195428710384774354,1011604928407822336,907791888309854576,1184069294335315024,1314036258597620416,5832790813424817036,557936330066503348,1882539817192295352,2017761684067622912,3050042126935684664,3657147043090008384,784310110732348564,3232860418290121458,42155032695213144,281073189483339680,262436428095501396,3062190068154156940,1259408489304336672,2184221799374720688,4041107895704582862,2134834625782197664,427254743653222912,5494049330661780480,669134913904994552,353314694055573432,1168921167330569000,1789882579729652480,1397396843212701950,616733853042142192,1770911337812334016,697920683243223684,2415981975027469562,148774664181853590,666098029593691136,3094757586537249168,538379564510243400,217340412155769096,1207616570901610400,3456247973048493728,706551973424818672,1584966364623278630,1961241440594802632,1403614912388349024,709500890317108452,1140359479672960734,2462874705930498300,585940188032036968,282042604323415396,1206662269308449856,1198915226093788896,162165361507971472,1621881333383957240,2968660839172755258,648673167501746808,3665380390766038308,4183634691353547794,23538158671367116,588536540646330800,3085186103560277952,1502289723092160366,2560241190064634314,1707011792163601500,584635224465174120,311023014733386522,4106443285332829476,2906020546405751680,2010311191470282624,758675795033043196,1422169461050568750,371128555129985008,2110355883642197408,3227822946674147030,2864779897355162436,1118247149955251736,2890708782987728080,465250089806508828,1168255530329872,2921047688350960,29214565596648800,438279815964966000,654811755082981860,5801636608927846128,4137326891853134184,5449260352722453288,332218149083993270,5316233800337187520,3277046305983305740,1690077284302450638,2461783221425194848,3725631470031872256,864362613558748416,325749887925343812,419780414029139534,1604851762534221056,21520797764178804,358730067772528900,152951127313272486,2549541474107355200,432455200612804824,1620101348704977480,572858956623090344,786104425812099072,2381578310954419760,4318650042814757972,164467960514782634,620159941190994624,1293604885375335744,2149091653630363988,2398701339156577728,1978374085428074460,4092050481944823188,3519707847312767292,2114342266372346388,1652377078338174000,3997801248516745216,2875748653555433838,3653761575005159156,2162649689770534352,233504377896821024,1751526784034505240,2932465340905596288,411581527046088688,51200997856004192,2560406334081449300,1311712137726416166,714638728052904992,1814714596978199840,2082547862129760496,2974385726904552730,2962003779262160640,2267552152386201472,932939937328144128,861030372231759472,856847638935547896,1232654391138101568,420762103926717692,1491153823391881376,2093644429886364992,3248522313819946464,251521883325560140,4024909332881899840,1682303699145666220,10769650741472300,430845868023746000,406216862484863186,323002511905083264,717883028424323840,1866228659971217360,1913094806961764676,1508641271719126392,1641280774156083060,1788653909987987604,588663140980203192,4611227616502735104,1681764950501196288,1035359570584395216,2670548832286468868,1817214638631602000,4076424364804566016,3112949254221226576,4232260503863820400,1165271144047145408,2672173004214600672,3755958324126896628,681978856964859580,72548211993396768,1451165243331208320,4210427236124672172,3835159820282054712,1662091965410064920,5676842077121095776,1971179571729644304,443343113656969422,1957702144160321760,3827084113430588780,306087173864133872,182586676720828484,238935957770556144,1835195737410308280,1796087588631643860,592558597074536088,1060862518367994752,4401270416507042204,864995061830822152,553827583998327752,105061999680552096,1050765200256165120,894269430419536990,602554621574877522,2497740821461794272,167188715853971524,2248813654030170248,2554717482028219480,761656135934306688,3011818161859616200,993502081087850144,3651282076337904848,2543985913404284720,1780481685974939220,1264029507417173350,1813869389352791168,3339871715308091824,183566851707221840,3304659091518490860,1156552452275192920,184837229560335544,3959753774190004672,423837299282762116,88431837142667866,1036656733707846480,125977511575385064,1259948719336055580,816446754073783944,35805880246556784,537162191424640080,1790787269121567600,4384123425592969088,522582182725272768,1742180462212193280,1918650404809967440,1788605290941922040,2819287635689609504,4455478369622141820,1040419174473708552,565879052528840778,230750853879722048,271739085223520056,18260872043879052,52181095770002160,1565648147050862400,1717695617285921724,2638259104261300884,1503451958148481152,330108858470031768,1263214727561247888,134079080815813016,3968074688975860452,993725481090353752,842391611123529936,133080280163370396,1996478364792420540,2674882189207322640,5302550026980922392,1801071202922523024,842076572340720792,1025140862878872768,2404155443686185328,2263846222496480688,428786215901955632,711867756433342376,1008470308812920928,2551633907722053392,1998786581317555568,2275875951611526580,2787085534566904896,3901500274843706332,611794693205404680,2710832865872485120,3903726969557977584,2968855412210027312,604447675414608340,589591227824739376,1100647279943342880,775714548080357730,935763038419452160,3042639237032702112,2063182314611952688,1088538572524018980,1036164202690503888,4901367092735343328,3990639778208455248,1011779295227811036,2229158621229953104,217951197351020672,1634857602641361120,667364478973316622,524265543327594978,1836631062143707952,2945336241212081472,124041871031337602,5011638109879782654,591500449354634016,1510211449761285120,1139022712065024752,891936142156946432,861731143524713832,1830976974245083968,1331817984080636696,3996905633779058704,614245465912998816,4748910868171212064,4355221282684756526,470740259619065168,5296550820059065320,1621894604189417152,629581135056657510,1036426442983343664,3051905422079421320,1863797179264525728,87726375132627588,3509533618169063520,1093195715155601568,4731812863331536164,4113526755900798726,2336411784227542728,3249166695300140720,1050555504313812224,2697881467545342708,1136814137883464376,2145856132286386440,432577334365589340,275380604704816576,9069499927372170,145131761652408960,1451515248894796800,3965554559217766788,1136554439522480368,464883792722981280,1698210983800585324,2185125255337290708,819891122213289240,2024580973101199872,560520792563458216,623329161126830616,1755847076881981630,362174348448633700,218437621159675992,728224408214975080,801907517265700040,2513592514464786048,801891215298469296,202602614232959582,1298193801775730496,1467941751586604340,1086748275714876624,2602363230603172152,1428012853271577804,4635086142301728736,2519864770872211728,518409303983901568,648099610085299360,1661255287652419368,54912539969807880,768879899913299160,1226471132997695958,1919093597339672520,1131810456964779648,4052757596967849344,1415622694779565884,2023781397962886156,782167511516384784,5520680176906451358,1222257804774364744,587576806870467456,2458924773877085696,118903499202699220,4756784526456901600,3354000884224803456,234276279189811560,937232071001885520,2697289093760712780,1668279866871454872,243239487975780096,2736814790169316440,549855013107552208,4047445308108320328,3644154430990842916,3271423967457132942,702191439606291800,2972680300845106176,1788900157410809800,1437476638182542958,1914474226685467632,300965522750919416,1079672203405767888,507170579135666366,223343998272546594,1242381913367459136,167370548417792384,2015493335699195324,858260030742538112,1898903232902034660,663808925071383320,3821903746148123076,3637844983879739412,515381643693788928,1793451262576779984,1501384940416951772,572310593020711314,5723878623064458120,572159754816384220,900695747005568244,677535716258006928,3665291268921067968,4989472445352010752,6147902939649530598,2322295826371201192,1992134723466803136,3249267831509319648,3526526392162940460,637163850364374136,1623986708392855552,2338921782755175520,858267459346513788,639204347829212032,933077323105067484,1024082152132519116,3789395893743384936,110079382274822516,1100942107035947680,1268213828682654464,389608521766464190,249684272161972542,1089642890574826336,2663822600547236144,2751541635788955478,1346876558144274570,1243270238141226496,1931812710990946368,3464968372354087872,1356576305385361284,113634796745344744,878939166018855768,1912833123931901808,271998181363921584,2720347550081715840,3667600214285203968,2133955605252437568,1809799767352083176,1694912694466615280,1797467727699576912,2046820183881052480,604346460265302690,1379328294501146208,2047203397617880880,3018531421216817450,2255613615245422380,2890864829257145496,2510266002305091648,1382424818054022540,1873743713129553282,3280743491870708080,2177670164225493248,1876356073536465558,5300852695529234144,2339846221685378588,2729795496982687640,2258779614173633352,103904277681414392,3117546333654305280,1196036418727368288,382978416943893736,2577299084169506340,1278605299410765620,1829828135132064752,374427926096364896,1949458990619877840,1344838480843422048,4487337620040481024,17742077676778104,473185437889107840,4732488057482764800,1550705618671824160,596641283530410096,1437797111778991552,2767511113397558304,3586613738752356800,1105425836209559296,5939077790548973034,1721418805893787224,316409901879583320,632904454162364280,86413304929475916,720207179820344400,220737724409309952,3311508578338448280,508391982852249930,580972022126330016,288336071274659664,517741482563283692,4334741330310831762,5414659122077422848,1187446309935959616,2669496772916530620,1861375751438256768,1527449193682767516,73256647443717276,88606226272241022,886180562487329460,564252006196399616,19986375685027360,119934259224304920,3198673724784214400,4323733540979024340,1164146032565975232,571401341035651824,2484887634743632420,293747952977826256,3357567175340053120,676240987366970930,848333357751461428,46716908868276816,622975151270591360,1187065498400474592,522056732519836724,287530307173488792,2875686184960357440,5252728706641855530,1767034055479502124,2212973823958042848,1788454884257004756,319250493711420516,742048995843331072,1097324463730775040,2088945492454489760,5846906372019287850,579033587952574312,107653640517203904,3230038960226386560,528661328431721670,4112357343885051100,450006711661552192,131085624138782032,3022604463956631710,2752286410583537996,3589853595455810340,4097689687418587740,1561404369798458120,1181224213296658272,125159408998028864,2722965260442001880,1487474682619657302,59365561308692464,74216809384346840,243064195315415012,2430964770786294820,642343357453659888,269301473404425480,1077348911288386560,431368051321246382,459274895315439112,3937164442257155520,376312526043047272,465034263040026984,3600554302642869324,458261643664783840,1655991910905727360,1432089516745412568,3647776474866647004,1494776570503863192,728967347460517816,398460228861043080,2583428753615193486,67081812317383136,670907027295255680,2584558193370021720,1012620845778021970,3636599658882884928,383409952059639776,1425710199349716550,35549100054887412,829588847328100160,4275978462414501336,3920810101049942016,5755340864322202644,4664116784376612,31098227332326960,466535142845137800,133844285444187604,627786586993337256,1182554454102399616,1352297427442301136,241561403759928964,496757223960574892,2101223019263240208,2409696725124124696,1665524150300114180,1455437126757508608,2328078445375388608,507098217291526432,3336271003156410996,2309810456506879536,630726435379688896,610896781642704816,411821414907314608,3603913306213425520,810506629071181520,1177047245140796928,1610290508947936452,758683779736281304,689629661936921700,1282886813555391408,1600439257779810552,2818550090591940352,2683650593744013056,2033501343049552558,103785150323333256,518994197984135760,1761274395900503316,3179512588082347872,1821838136267535252,181422701731153168,773181431537057536,1481287690160339250,532310269846595620,1051622346271725228,5188904389469221824,57310515749882046,3439083949528263480,63157880531174912,1421239479732630720,1198347424753368352,68373765316084788,5470621431098670720,1614291328870951536,920906484622825540,2195242654949003464,1650453223491596736,1814359048486525008,2919211344991035612,381467114328323904,946170086064516560,1309653933234054072,282403988273268848,1765257040453420900,1999702830625805952,1324686198492872208,414593403354584454,592354144853625660,384971264842980896,3443736629087905864,5582380585218442668,2816194830645218832,2751972969213306384,347155808199487840,4830695330449960032,1812327189628694736,304022878714632672,770943362967947016,696476066547070230,4053718961707498356,298600955925880448,809111321575150832,1752909142443519528,226489341469246128,185387142963691580,2224937564990875920,942746287102581360,460318743490485382,2055297033621064352,313476657996806720,1254071040574948960,1044026798043957664,1137842792341802664,1376956286873289696,2491984721916662724,4285174622530857482,1108643687096021856,799275038896295360,2239357718458394928,5772296222664528942,1975665645352775208,440503559659571824,1526884975370250408,1312990746893896740,144967227876599240,1739834451399682560,99342448469152080,1192265396142972480,546874509195312872,2989491154303374084,2676326752166768200,1034611470430674430,628245139082879744,1035050469988411776,390720120561766506,5234973498395311698,246939221853700360,2469715040501670800,4903498050740013088,2879212962262104384,6425761221470087712,3237074285348950480,4214760457081272696,2652844383278058870,2286850365145749348,375727908258803156,444151110802061070,146482872428090176,1831274987457977600,415156511963426240,3633093694527052700,267808664156516756,4933668135267253536,3483532093651558632,772816618559844330,408014181576678586,2797442623765653840,2926137417562873728,718773099033933488,4209934089269724144,3048578517017273208,72476215058323152,1087284959424132840,2191704795014474472,105334997096971200,1404649671801512000,1850287999636353648,1131112569057163248,452323128769473780,59714706625170352,5375023648795614960,1607537580649952688,675188121012419808,3348940410711107968,1311951889333969908,51340207023488344,1540406704818639840,1572306259000194224,1225874729457836040,989168676846527544,397056391521158208,3210304691596280928,821490915992518242,3374153730189975348,3273759094942417512,1132859460768536292,1184854506133190800,29639019603163824,2371429822523304960,546069382479357696,3640935720026448480,2335577121291222288,3332599733713214688,2672029247975024300,2075624638408195056,415170562329686706,1556832675136444320,205669345821997008,603262770954633292,108932449264586524,2536997924898425604,4297350730484801136,4945145182845425584,2182003924380661368,415084931010960,2767591959452800,20759632898307000,553662030874160000,5537338526484800000,371586355449108164,76437581162253290,327590568883930086,2548257023882759840,6550019691628962816,5788082119720637712,3399789562137731490,1704696781754793372,2247024322260717804,621613226841176556,1158862125248620104,2369178399556803120,2918798404016082432,10193338629750990,203893175485343400,3058793684023266000,2889049915825442208,438752895706586484,42306509764555728,317339894522465280,1968965750960762736,3262986984796458012,2118456902770338528,2459531490017669340,1616337295239109248,1937271976555418174,1153725033744730372,2625256336053216992,2878960143831964544,622700162549117234,2292275013259324968,667517559924948880,828766157555652032,1830528538211846772,1522599547605975888,2410915569351409456,1038924915711676896,453755900912069028,174171657809347534,1244243956846169800,1762889056135935288,45962568139880112,804448798631438520,3756714025201910568,2057807006466140160,161766608041688336,606703073112130020,3347712556985853648,1359887340230421492,276902573781622192,1956245263212308718,1320049710094381952,41378754513507992,413840909591439260,4138942751771333800,195518737055991552,3422019022473045120,979202190408099048,4468025117146852548,4514802264586443648,1528038723211036176,1384445145091417744,958267927852406178,2333558629230816312,782756204180983736,976591108857728840,478852402703401652,767682907363224128,3606657942073658112,922222829950868124,290323794696438566,1399655146057189912,386973325941085156,1570498828590135120,3455336398942121344,2107970749285717184,1126195461752620896,1548981809774392002,102846129643607124,1028593562167515120,2192865631781598648,1841679946367676368,286474652135571246,1535162387854857664,3608615914913720960,5354037205573218786,246360980298605424,2463926364536479680,270989658726122176,3509480514612223606,4170875781005007032,134543349761888512,6055228288637268480,790554571213611344,1006201557653391304,915701865055169484,944062428640273272,312039412259862014,1377618305311580384,2229826626166032288,265891222412073608,3128704116606330542,314942639582142208,1349927308971432960,222121970701147608,21529735493576368,188409342861160540,538381430469108800,2867818941675209856,351178353722691976,2795500620212713320,2538430477439615304,3772275275413791300,219684393168929054,5038611376485725304,550129735699119264,1320176035217662496,1725398422052867980,2475385536474409440,4649352318893336904,2924921175298754784,3955920385264031268,6108235198988017428,793044398842158288,3493809317696589216,4520881602202361774,1622544207658262388,1149635261918399740,477624041446535256,224241400541670344,2803376026234118300,2127865111356094320,4435574152106574400,723910465868903988,2631182484707705936,1960802453132251344,5498009598607228224,731877050846921408,2088356013224961624,2584625819703229120,6508571430144181824,1685134592919848694,1714587457079566552,2899906484407313500,3050210427056150260,842145511462911340,1608992049025839072,2111701504672996352,780882338344520376,754696002032193396,4643256439662371154,2827380215319082048,1556077640319269104,178920760682593090,2131770031208619984,529205689750982048,94265419221582224,1077456475106681120,3020824230854848710,792328761921258304,742560867464121468,1969467681121592688,465058520770468164,287056945159075728,640747771943835768,5192935501531124736,4346512455434100608,912290111895790992,149074528271523588,4472805497319475020,2026525438209662544,5423443584637728528,515101177493615104,735952514879955760,5952357203163928326,5272546339507833664,1905779856712322448,3567493162365144768,481549021618472740,520801429383206304,1724814804455424864,1605205319074292922,116276584721755164,2907284335126411800,5384451595537017108,40800102026460456,1224158686581162960,1098747185966318816,2197959343014433152,3573530311819808886,5674817740269453984,2369642238920260192,3211497626757967488,2557466692502509710,3016374146303205290,251389667662198912,5028431934597364480,1884925775848790592,777353832699324440,553319208491225688,5533894559504648880,1220343899236858592,1497454461332415768,2038390558842179008,306751753564716448,630249135546672992,121605463452369546,1216208906230444920,1900288146838995960,1061435697612454584,1642637265842167752,1483575050669429568,2749238427601587264,377620855824647408,1176222171125170116,2784957227575909152,304473936432624784,154344259450428888,257273028656369240,1963376304642091248,277893213469969504,1065776476013839532,261908885719838394,124151857440210572,985185233274161912,1294445192508444408,2844996014620262650,890276439095125856,2113898134016674200,2108413495172604578,96538644683811988,413789403481682640,2518521992634653616,595212724793398712,5810758385322823024,2566134926171331320,3157949494222434560,1570833196680023360,1123348910065390784,2615430152561987664,4811344730209141992,733944511492822032,667023258010162136,829987774344933120,1107569415008284144,481746304829334792,155524829132511906,3110889526100417040,4063860124980551952,86883331841522992,760325161683757180,2342697912944809224,2381224529774178592,3158721895107751424,1514024479632661360,1166161691647013616,254198783044850600,4151520204300348432,2028599608072125816,6692570182486478592,5981722858961501976,5638009008389014404,1462401105799150512,1613620216157539284,2299039740327302656,5537169262513423962,771823017277250376,3200221955506792944,369397714222442304,1847221358939158860,391781182121709144,3867909819030333804,1003256114414616272,1978053860486258288,634183241534196054,1212728500308025344,96785838010658688,2903940789502006080,1050877027665657240,5340715925246259768,1308181717405800744,3034736330782751736,1062007590326626888,27926982868610664,558609943057957440,3172698535603007268,22335299791509684,186150912872367400,1117045967851369200,5623556178209517632,1161005674751031170,55975685478180656,3358963407887452320,928645574800276242,145928686247503928,5837881141124571520,495011156123127308,414658727918010784,1099712754116079390,1282719668199494368,364024248445713408,2460519339441712352,100171094302046592,490508513860304744,1645362503509473252,2204055665100353064,1094185645207562232,1835807665573469056,143249871281327616,2387797508622572800,1861670511383385248,276761611265318180,553592673252700520,233892639246058554,597030615544432482,1990351672311065040,5155160991885791424,423285487903560198,3546772380260794000,4504549355106606260,2592058456055640936,6032097604239622272,1272133742354465184,587203273428492032,660650057070600968,3765603437408920436,412381204623795804,5499104870773387840,176470056688370032,2206151990104582700,617114518264693330,783761524890572928,220486040145566624,686269242101461704,166761036017077284,1667819094514680240,500889960795503916,3154501980889481208,3537252486690012650,706061348181385152,367674568581810440,735441123150127060,4101820486535021488,3959274464591203744,1000372461666208236,2634242729660683596,2581173572116742264,2940982142172095616,633247890847161088,245630970838261008,1387732820835388944,850370135861943296,4225973530401826616,2125535752289700822,466260479872277548,282101577032717088,3761824141043050880,265145428836739048,4512654314865234096,308180072121814172,273447349295017792,341851855286946280,370179715181201016,5224904965487078144,3030252032174094336,1551263406091371030,4768734237070873216,622992212134757868,900213262143927592,4186576331916367728,3936950361968119776,4122193204281394944,9646879593220720,173665481991394680,1543885615643484800,2419447337436369552,1937683559564444700,3130065406207024040,453605354566598208,5987179577676049088,4878170044538521472,750478332123877794,5659826126103781794,1055780051635882896,462566639751258224,159854676544239184,1598745798562240480,2347703890634387040,864003389620565376,1261512711818317544,568509727157380344,730733102623635888,1484840027170496240,5397007039037141968,4376447695363661876,390579211392204384,4829992645679991648,17344096156919636,693850118839831520,101708114159266596,754200049729646868,1299626146115074596,3805901134882933968,1291268619473289216,2480020120184168768,493863212905963656,4939245762238063920,793378557891537180,376710134746280048,3229345089500068320,15592480618054782,935665020593526240,77205232508253024,2316444553743339960,1636350349200317868,1703526722833437712,2536141077039250920,3122359855877289360,131653141826368220,5925126511008583200,3540757992672291584,1174920749993211540,2000060367610937912,3535062582479695488,439347816618974700,110616371522494346,676034790677691004,1535390517926675280,3062959011185816064,2964893969056341336,1980692250549799656,339785687135161392,1291431188436908224,919060888733595888,3051649426944344424,4954607931277226208,1090341599376925896,153288083064201344,1724704499917496160,1132595275166136456,4881213143381262688,186449788111051832,4195639553465065140,343842761152128896,429856646593156160,4037671725060295170,2543649433383329640,1383455629430318024,435850632869679224,2533356752887164750,3107436101012665632,4104914173086104560,4226068438084907352,213227955274628736,4265086372039503360,1019616997053447144,943726724986363104,61195435251295576,2448119931948665920,2984977292166436192,3117937057168977984,4539939542385666496,1094513245664487272,2527160912868887736,705864787816957720,1325281020049391892,2230691680143603560,1032504299279645568,1411849743843268352,1982408665299975828,1973985271570787196,2000939562998685680,417110506615704420,5559996108486156138,5379711484669677974,3648353925119550920,1700851559949389840,1238187118079276304,23137745751831424,115702995811170560,2603638421154345600,1145424024156508612,312480704281978498,60655294511870016,2729824688867542560,2135375119098743634,1069417311174888606,4522977800362512984,3428928222696727608,295565713452035222,1265739844311206036,534582165933560384,1124090955583243648,992287401302539170,3482308446931555136,958236007696848200,710166686551507360,645456727045333894,254186685371073076,1731622809561804544,3684717121844725632,3569596475027848070,1282519654692515728,52099009972771104,1563162557149114560,5006650373101743444,793549022940843204,2733694049548574920,106061134668342192,2121483487827307320,3017513308978310128,3434617023145237920,2056928940217549100,1851785253649185680,3046676130515342208,3133529666799994320,423315954020307328,1058419890807461840,2521672719228162448,263252456388652944,903328696698834924,1132401308476417410,710206728379881248,210294680366026256,1643847604312084416,1627649260855204392,1263700682652355990,1997438140647249664,978449901360617256,523177380404415744,747487950273323520,1884527289754217472,41546903119421184,415519986484840320,1576782547076204580,1753556051833099368,4106420669130847732,829904480871973596,765627802665710250,1506581820117034696,4753703077796880896,976202864773365068,205534708853652904,2980292232314968944,2033770849585536152,1133689166313155956,1477297117629540158,551035452370916288,154784120795055192,1032020489957554840,1440218564619584628,960655061852156096,2944652092013086308,1525885131983160650,2132001027417014454,493499568203446224,83833302260772864,2096088974659730700,288319299008131910,540636215224755748,2882525506824137344,1237231400242768826,1641414375134935744,1957260097324014336,1230383127079839456,975606591280559384,1510385812254746336,649489905486993296,602640607660442240,3811530517086500334,650896261457213980,379242479793124944,4338758650347450576,510352507096992448,987268542987807212,1209776474841279680,648599547002802444,3603770780068480100,653424600045453832,611997490488840768,4080481280995566720,537058414962202416,4705651024257866508,914152212279199712,3272633323962712300,835299818610660324,3906213349357495134,1690163163349867360,1843318235568759360,2884251417883641512,312241984403389348,4664236951527274632,2870274712908691504,948751487382789584,3214157642172053808,865239577482116160,1061934461675382672,1205426809318253088,1759585223082623216,951076174061050200,373067882738116608,2331958272968889600,2217268956162534510,2927027428311319272,111567923725901664,330449268473992226,163049302280840228,536196917465011512,4170928082126390480,4130603935033431258,1321798014514507900,2255947279706622432,711300643595322624,25796627558407212,386996483406524940,1720193575206142400,2582430988936081220,2717913122610604580,2867334787635722768,799807472690722056,509914043674476480,233056216287718582,5298037263724850736,4371843059725851252,405291113508757248,4510848850153657648,765765447627314364,3911688485330556672,659248893312509568,657002878433823348,3650459279098096600,1266802960173740808,2678492832828589840,1888121605652446476,1555054337473852844,682100167870284904,2575919507006797280,2531435726199942264,2215689851202408240,2828666132273765196,489374016353240300,1140346014299316252,1937986001502225888,446199323291503488,1487511457426001280,2014395463200170124,1203496201435743768,1709214895151818272,652321211049578200,414811624556184336,742453279365667758,846768865224196928,2418548512683702816,1906376511628224636,122265806926415628,698746392369792960,499765327632218712,256216888226499564,63723727031797282,3823886620132892160,146689639335400224,4401221975602161840,291850691514460648,4679608400759880644,3220931634294453912,829643547027176288,1541685716890803920,689490511096986816,1411482855787378240,4039561749387398382,1593063394826317830,2243082590899687488,329755127281615340,2638360024894447760,1043823100594983072,467365636037509536,4516753311744716544,3188298308718541328,48201761546560580,2169341409432781800,297394593663372372,660956727826214120,1073982226934563328,3848672882610478104,3706081717029857280,1379344458467819970,379671501119043246,2497291819692408544,690824517499954684,3371074340092350168,129271445026306684,1939305737363229120,115600412284099232,362356314677766962,448467979604904804,1545979290272017860,1947189474058903360,5745334529690470848,273103419489657744,1365681795121076160,1894277842687439872,779025477950237844,1918046232546232698,181479743860927880,2541022702071426160,3605778917747276352,1065206590262582180,1111807242031317248,3941799988405585360,5086678644128559478,870523021560448592,292773054855167652,4871342789367529068,1278068512643779584,123589315589077840,741625189147424640,84408773364215776,432923172507370566,962167309934175240,202469362072179696,2024937312656600160,1515368995947947584,602614439031852936,3740695507861554816,4605571981512643064,205351825266112788,3219065551258989068,3683952090279337800,1682012807816777652,160349674064899572,1603689545559883320,842553746229025368,3330212127449936256,1401308354452128560,312826882727656864,6898592291657963364,1454554694932949604,122149859890574768,610822677792815120,4172728908183229056,2560731418718709696,2488151802868426170,2955962284085714096,3507559200514858776,1754801402124512448,596223212240891572,3337920070739762166,3593760375955901872,1701039107109247360,1852815599217490896,4143871707976867788,3648736317748548600,3886889398039102624,185897336628143136,4338124835435625920,2399819246671143808,3613379023747901736,62952484061577400,157400081219300500,5418531364264863012,1619403715863096732,1790480082904251336,1830863048542131590,4141581362210589552,1798027004975973360,2725221313666549334,1380998709740000616,498772497609917392,1277224399167727304,2004111123928859988,624719132624149932,3834515495874541344,1564198540849592816,3652913917404964068,3346352302842947034,2318497958158164300,2054203159783887952,2600636985222110272,390955453604040312,2606681563321127040,3009125544062202720,404926626115011924,4380772782029337712,662123463344157472,1009643920267513440,828625891606610264,780624451782375900,3987169409165176832,501542832272329056,66025113349429012,3301650259804384600,178617323741103936,719306502662047712,1342103678129588108,310576032945596892,2781709514699825952,1051585215943733312,3051959492867092108,2047097750403980580,1571432965076161472,2138578844001901392,1740738630620575840,264932968390833576,1893103826102540928,1515596491370800384,2028808981131572364,163255751900365188,186498089659706944,2098353846055487760,4331749779412489992,4682277041746247568,1676366777089912824,3786774586899025920,326786938154003418,373522479524750752,933917540107802080,642223170417616260,783235315349045078,2325199530537917432,1380681250433825536,570602232333264160,2682208119374396816,642588509674209780,3832588846076118496,3797719408994471700,338305912248927714,786416714490037540,6131040073013477312,2020408006842102640,21398743986404010,285350555741310800,5707690514089712000,1356988280348004864,656024337802340192,410075121065228352,1537964699510171520,846381414607986096,2392817373124369812,2273140652955537444,307894993630457324,655647297598056988,746937100287689568,628503109931220370,2693866896849612432,2693653101567819840,4032947820694413870,2196275522161757050,2451833811659429540,805208074900438584,1548495559805831868,463743047658293454,737047191622800192,269888807155381128,815376458569724478,677925535505126062,318498028517313192,6266016710982604576,1643224183791910278,1240695780262106864,1608620263616625816,1007668483235802752,1256457250846945364,350288389971694696,1183048022462891256,504457645862799796,917106965089959280,1709237916352681632,2063327121798196352,2363565141771372416,1045552828285079036,1818732138876971080,394419252006685968,6307193201688037584,4162658071027865088,2695954042176433248,751963774994494464,884143339954551424,1092032056764833730,1971848241295737740,697610572553180064,3864452544909588224,2315954504883520410,826843475655319772,596738349216433920,6714101486579986800,906351538381705404,2095359904823081406,972197767364764944,799045251301921820,3389992363088871170,837653607650561604,1770660477092004680,1450929456509547680,2779488719081386116,1135249500783982820,4787138613021544416,2640194179014503312,282930851094661476,259497393319217284,4356706732209689904,6957605433829140360,407798214883935038,73694714201225040,276387846449794200,751511740341472292,1038303911589836584,1380245195985899634,3597277289626464120,3399913211937769280,1991066184327668056,2004278539258805290,1500329851724658896,1015329331477810776,250390706837331296,3756304110999335520,555536823820982912,4653871701565594144,380468151258988416,3623894805628138096,2717831190461210040,1809362956544016720,4009927256974263690,1131376572506161410,2032861038197413312,186947268719602016,712697253839859156,5948942034162409632,635238985204953612,729910310533872736,384186888830817064,1296319088360947014,1247766150877939744,522403438963908568,970941990062483376,3930322659121824290,4066676845690471712,1087256283480082272,355739081229355096,721373167999887420,5004038806008085568,4265849947849419776,2136582248800016960,1296164115882617170,216287920619765904,3691437048724983544,732334910823534712,1948819200056709840,1876110728119974528,526492249254094904,1776480609108515480,558993584934275088,1018787981871237228,973652301451338688,1195347031083481026,2128606185578783652,1089142424927589056,4788555690974017248,2031871984998558820,4723544344932066528,3496239078013592988,471671929840190976,3144849156492180480,3891276138731972688,6894479466073024560,1698369671542789104,2227215706662758028,3026908537933242396,2017105938784335420,3005416764132141520,1616607498546205932,233471124418822738,693998637740924384,1880417073776962560,3828251125429367104,6137672046602812830,1267029643470724840,571450696720055648,6429574858593085380,1726403161867037688,13006181973110144,325192700135591600,2601846813882149600,2263521288838762134,1208873053246294944,4826657700630720892,2570358559409082144,2242526043316482378,698823688355615304,3106247195361160320,1832386787505724170,1879530409129548020,2818912840453586688,4103074535996056460,831423939290212912,1516843242581137842,521560402149859072,1115197970246819648,2554596458558524016,5070334160572672642,4610540245901544136,2855864822018544,19041328175260320,761742303332601600,772271772696085872,463596493666398016,1552969595405362170,1871771613178876096,2076186770688875544,1644783935911320880,817485160111933378,757537406974959814,157121857971285728,4481743387497474384,446147151673870062,3470439213330305580,59661244477890576,298341101818780560,1187615259580410178,93488248571640048,2804975295715393920,1098844492503292960,2171945306217738688,1434122649018384492,4574064278006886460,4535546038061203032,644185231149552170,3239079762667685034,3986708837843281280,28038918903151072,560843865150898720,1630017223166292290,5471076569965963012,1138109483366014668,3906073060553628384,3751631983936621850,577518715496312856,3850574081294186880,3151888250151930390,3095051965263058164,983628660354342880,1879171061183104752,5204721553423118928,2145867780188613894,1068489255544230912,1889393593109142480,2343574003534571920,4941636984185957910,4195363599121473792,1941165920954578584,868124122684997094,3278017126182134544,1570339967756044576,2785167888526411472,2662695532108547312,147701764544120440,2658941460720335520,2343271042234622780,2715782436212769450,3671204835953898816,3557150526224552320,2412613423651762240,528600799327649666,2488080279461437952,4356562925576179052,1672608462985892848,273723598796906000,1026582940444582500,206670315370514432,1221742383225633792,1506339878389071328,2676738913183876464,311061958298563940,2481114571254844048,2738345939019519738,2953341618350205020,468514175722806560,213033710477292144,1172876936015982470,2737597777435613376,1777581693929102112,2193148863849054664,3200621025443040730,1167174619944960596,52429929413676552,1048720399309033920,340365516552189808,19426559564344062,777152624614467360,1118195006660769376,1500923688150225490,2531393922504687890,496733124522793984,3548505598384307200,1758951835218035264,708289157554404930,3481636189443992560,2732987045393394624,1617177415268865246,394746270674490952,3082769495338538720,1678430885328670560,75334714114920204,2009158677479999680,108497637604251324,843968356628310760,1489550200563826744,3512119515964653852,2273396835046703104,2045651717560201296,298334289366191376,1973819732822265018,3710771878928850620,5247357621387192584,2470618483631030808,1455461786099366628,4824413335105180544,1708434230064705936,229318508155437088,2496383077887782576,2787833025507343604,3861581254188268464,2959711927628872570,447966702350012748,746697579511404640,7072035115515047712,1702703473854742970,447990481571135356,5120483542602174080,4966538583913582356,4541140995247760904,125090185359051504,1876569774810073920,2479545418600981248,2080139345452972524,1101638337169403556,3490772058142456644,2133660480636427232,1894106552341276104,4531641878173175402,1235143100952233024,318801672460412232,677683259627731866,408186137827299260,3265866316604239040,5678036327154291516,1794585828380491128,2100437357182695650,488529081068418712,1395935439635302240,2511809787474002412,555818916137026836,1329063878605437780,867251089500099192,4252670466990133454,1044205208138452010,1236428009205744576,1536995839275039296,699178487240704730,1119947553675596244,2274145347064530624,4575140010441329112,2659301573436809896,3106003362417854632,1931856271658107992,937009508934646784,2447398867570340250,3493852147658316050,1912325650183680424,1282039834107546696,3204335816766100464,1898118956736612250,3937205848818316032,1229784164801364760,154091854213940528,6934932091004363280,1157333671578831712,3032739753036289060,1468004187847629744,771290126168301320,3510909200090321880,891733888374877344,3153359058481775962,2407885535564312720,974628281878348552,5347224503710656480,1593407120747823164,3173375545267377904,4212426467050400032,513263665421509536,3092341396657341122,1889426409405225210,2080647937225481920,6355505679027754368,1103754265735563594,2491947289936194272,1177837952886064816,3346158064388937728,7069452445194649434,1644700818656020908,427896544776638056,1818047132088420288,2324798635987430050,6344931727940951696,2767892328032575744,353121553561429056,119438572813218078,2389045758039202920,2436223894090190464,375158062019232648,945231548936283760,1831744093766075748,1392632779866678336,855207816844218368,1351592905793595612,2259942976052898848,1172283908901848432,7174325489353301448,2618690375052248882,1092032585123220564,1839139867441164288,188019147355328016,573371372821309332,221980078211418788,1325961534656146260,117430539719727948,2305876814860449782,6072877170008896528,1660369107921993504,1389841115536489536,746680979415294352,1407117617678640416,407269088967266064,6109736119966519920,45884089876348672,1376680346310151680,4219143064248097664,105375833994314744,623062819773827802,1922686583406930320,460272810355757424,370844857186585420,1612787067242894340,2057747769504191466,85762773068252176,97706725151839344,217150897196463720,477630710268357724,694106259926464848,1146596224483758272,7117451194581762534,1410625563562080870,836790702097757328,493374104312610864,5401684846633044088,609194781479170418,112211381172361380,1571138884055337240,4936338487174153572,396090093851654692,2840305188937245120,590739153845767296,4084823143770340260,2132218122538661304,716667854307824736,6223951782746538408,250108712613919696,2811793293259276214,2483648184052141824,1061844100024494176,107036057294122978,1768747185408167888,2048854955486878976,151335162742109424,252254052679725320,2469822273800279676,4093694319064415688,6740781352095224448,6210607711752801648,400571137344303424,907680926128128216,5963536787432806764,4042300752206786004,3136266260668728232,371423530932515936,1246687335288805376,5661544851158273168,270212353320299996,1194548543033332256,642221217802020532,2321614035384937710,3484028065559305950,465881089618530768,1606915604895694720,611268490214534508,1362289490513620578,1324027720701873752,5260151822745030432,4283202047918309306,154825304642987914,6266050303182188544,1302144815277645552,594596759253848442,2495068048731598992,1933603421892169284,3340908255784690724,2037406128380699400,829692155514421510,1242135025927641872,239859669910680624,4847684446286655064,799218481631521024,1311939785436668388,1208827948383497688,139818501671718748,4894203841639380940,974908419153475968,6940631562149629368,27159183135568726,2172981543553707040,924659866507617048,1374071931164648872,328073512967918244,2916540256276077760,1595784918684718496,1141394974234737664,1158556355313896392,3987074723986212072,2645805483599045872,5671418423991130116,1266019684348671448,3598681425455926668,34013419479168672,226781863160140960,1671224309750707452,875587534337419032,1433483113902562896,4498740497226761100,5038061929239183390,1400639866549470704,388323167053825920,5437140841783150080,185189989507888734,617369953985740860,716399415611959856,156129294598848384,1561469914836416640,486853383365002290,1052616416520971376,1876496986040240112,4453500443235693584,1273800257109639168,6539914747880256384,2758273994647687176,2793890799921102210,3724394388555164926,876732893299604480,152787980916541696,1146039598651156440,3110823015829434944,456868881767888304,1392976291623394100,1692880931872268528,1998539371666921640,3947139053852490496,488344265934619696,3545737927380280140,2274007035952604256,4262787657137524032,234256316026806176,3124177393010237260,1412443488352033572,3815744923971504384,3107517999084721872,15648609640225668,626015144644952160,5645084678615649568,1078456421132107056,468501191523294168,3904617775234614200,563261958954626432,4929098972351625680,966410941663460496,3002430247525101496,2496287309533126624,1964229926655149028,3231358093870428704,1881043830042176700,3319149736078957872,734973812656118784,1852207652184398912,2967237840074194860,768342382140189192,3972213342856237360,966845989131539390,1688474803256207296,3490077914411393088,431822667465946688,20257733897501460,911700847641203100,453611439268567188,3901200416138159736,2339967066756355470,1108340653360517850,491369208210921696,2196984623400740256,424150698864722408,791617769895181768,458605634804623788,2664285864466621488,1242561816785202844,1381154056526472016,962497573917568,9626059973445760,144407163450295200,1925645701779488000,497322314818181580,1967888746050729180,3088432525636062468,6633395722111929200,1035952554139739248,4302904204599901600,3321299492995716632,4214846880392085968,502098674005945632,2510775859991736480,4131690267262254298,1431719653049522944,969334730102796288,3470737138387451920,165403095570197576,1181583550522320400,5067098417238935232,2508704729946240372,768444778118044664,190698781189116312,529135500760448016,131860125044433536,2637498894346447040,6301198234736924994,75710597996624088,1514382094352552160,644797160856511936,3474418237726951782,1980690322594742240,1986704575682235136,5083168001542897360,578599898424162268,587173267926584984,1680831882972476780,5332037767683500426,4098497145219500088,2288448874916986152,2769972755720270848,855567755686401694,3005177970714550696,574926643998963928,4906634855446462248,2224029641666010876,5888976335645579232,3360565839919606784,1459602934990565568,1065901830281098368,406244851102966680,4875484799625410880,2813554374421012956,4172234963233222704,15927271817258736,318581139126032640,3717196497472550400,591327197941485096,467352848252278264,898794406962723396,778560584483503304,2917604693549851116,691645846544337824,6656825222750247296,4476138450525384552,5012393350345307440,537056524353217602,51001443701181232,4080572254661743360,6766597600368659190,2237588088386648528,1496389518052733248,1042681448902173696,2599318579869318876,831987350811204238,486550594466645596,3079201063547676840,4675433246858431980,6617137132559789024,3476696795731362304,7762669510559343984,786640486260836298,215164707527016912,806957856351715320,608903473067424288,3044857662618342480,2562575505650350624,1833994552764920112,3976048029490698672,177433083023565810,4732077502695015200,3417861644472424360,1463177538714982104,677798313857836616,6179205589385793328,5218536880154855264,1427224587837120288,1974348125723552050,3208001558900440428,1315919457186046440,2238143171484025040,223521289459229100,978514739512436504,700159995089947392,112016739480658432,800208837256445600,2181311991414540306,1981936533496582936,631777252387545444,1434359869362943936,90771634618445896,135352539658270848,1353676313571397440,4572270598716107028,3762757658801820696,302754351554802696,639473790585463652,547003105893598604,445341963059927912,2148479070305953608,3826511255707865088,1267756325665826670,1571384331513924704,2569815951796663584,4828526836555580956,5398795452722546266,4969250317167545612,572452594936000128,314230261999263584,5499641775681648140,5105132466888634992,1878426721358376084,259870946780647384,423375586565973626,1458684045478980936,851045601242057376,1039427972091093280,652119505591054144,1893379619454105174,1225043850214680188,6114157307428477188,6746784854215462224,2165630408299167576,456256319281671168,1287654418800040144,893793957100256454,2779763654874999728,3370497246282326512,528902525643726164,23509839825162712,2116120691273596560,3574491765618639264,1380578988773570752,2271431924499375066,3281452465562240856,1400564628292983608,977182682992147296,4117798612267247352,2855312723869067448,988207323452747424,1535613085686792168,1308803800808761752,2542068770628619512,1689175797636661812,1425317048999455488,280260506780150736,3737221372035405440,274847003597332680,771144227378144256,1776976707016384496,4158024123965173632,442779867929525000,3180030083003488624,429836740132509450,2211301731423690488,495092817126211328,2860412322486094656,542505751469731640,409237782011312892,2281558213333922432,1681117600186399136,2720148825287558912,6820678146687230502,4782280220448916752,82928886505651296,2211681921135635520,726167110509240876,329021370463371676,646111708758660548,2616550446510120006,1837837385607352094,1724418901241239168,5489089099640742592,4817982126343446494,2127217257365239962,204795639951909072,1706819178669338800,5368399764145616086,1220543768541938776,6464151121826193536,137141478806953376,977617424508359804,3320455434443800030,1646336151859929900,5151075507535432608,2060146418952263984,1617951762697899888,421683205152186432,2089299416918255584,1612263277840064460,875831401818927888,1055880507326705060,1377323187321230208,6335200936192653264,2542978138403270148,4683667980823322904,783538399482140240,6093511910446610784,3254336368597155408,821804627533767304,1158092819294048976,1931356773823264368,3224228735229747560,509654038406457504,7006896345555752256,3527442777470528560,7733436124882450626,4381890315456360028,188319197319070356,3138999563629178700,159126404000309356,795719783107486640,2615382643496120064,5967663848671451472,2980464840629626208,363357841750395072,178550645609807776,3571406604701274560,164468702796084650,2631789306851084800,5673591144092076408,196067646998243188,562104704286103356,450760893116621364,4007204949548797760,5168534365416642030,1682122303643553408,656766091677949024,1427780792789725888,40120876206586056,1404385298626575720,2080821585708093096,2683999290202834360,83134253369215832,2494302140534153520,3632986034910957696,1453723016848813984,981545541440552688,2991054007384047544,2968558854698260928,942131286490382016,4772407989853294434,597458551401716482,3211778948343172480,605636248078744032,963958127773125952,1263889664658448728,861341970257326908,474940157344260692,5428484205633635360,2799298245625866390,2093060312917364736,4186121463959498960,3285307563102404586,364733608665409872,197519152353681276,219489835825078520,2073865482983260260,5283564213852939456,3702994329583659824,2514570571901728080,2205920801867625108,571249662428779420,1511129193673568376,2948359084797229376,1707880790849853984,1973912839155777372,1369216269603624768,749639699078983608,1099098490616838348,884211239206990224,728099460423840736,74296290957653264,743044409262157840,148246672099684408,2965258623799400320,555257457361846272,100174219611478878,328845136397987118,1835422405492569228,1018866114335806592,6861452207112668556,3385515763023435496,3360155064008387040,1138332809616007376,733446138641538714,764432198074717744,625274770161550760,2502298668442390132,3702786513682536,166643643485426040,185179882475764800,194364775268551776,1943860582265420760,223628058855160074,1794899797308372352,88751324539818500,177522078712143500,3524885116632513544,2293656545713226064,1964968834520456768,1762090450570641480,5791569277756204348,889709255647086896,3044681068265495568,1541009226433466192,3822523443275131392,454485771417469680,55593697006616704,277998879298867240,1484334259982614362,1883963722614499120,232603879538963580,3744784032396834784,3485907887128160200,3918015069690354816,1295246405511556520,2396006426245458936,5728444832699872416,1063284021239593932,570417024086053928,1467551038268561454,6608225779002580374,170147281051616848,6439357910464282496,7878437977438648548,2047090224745667514,1090301375841650504,623868619805760384,4159578101375896320,2608408440027031512,479525145478744288,1808528647738854816,1286731174055997432,150331091904216314,3028294420914022420,4018594127124986592,2061520264006242810,2124203226487565776,7380434197304985960,466500178862655744,535947855984137324,6181197263800406064,3719241162358752420,1248564577140884680,699810361578332228,1413224456186017148,6191620256863831296,2738269020928705040,574075787380566604,4921185697443506640,975783721737661452,739364068536175824,445078084615759008,3956680511037509120,3580108526481242560,876130511872030688,3312596265681259370,2603442712494106416,1108313009847262632,1265202430307745696,4550134182902618598,4985548441872879510,1093976787254373888,3268739541098190824,831805314557648550,5340570468119589374,3380868067525852224,1244697718328928128,7355552431032917748,437640072215564582,5002144725039962240,4223574024813023680,334215398761096034,1275212546698450172,129221228312750696,2584705485760656160,297897098602824324,2938091394493541230,928117364215189504,779792339061030960,1987359722099246110,3289198524699628476,269910962296645824,899800933779960960,2665896516644849448,2285900714533563894,2780439300960068496,1802249225473659520,8060107314970529694,6622381519306064848,298287457055890936,4117383152616461252,3692932465040141888,98678147529204530,665542573323452032,7488166369330648080,558182779641043662,105662599346178224,2641851532370159200,2290038006641057460,2000075637730609180,2298338468534650464,213058542181869344,1929958912003820544,2514588879499903710,505850670681791170,3208154158714499880,2467950193053121140,654191522500563024,4906968138515261160,95347846497091104,1589302961750821200,3700537272858348144,196754011556740340,703974506242957236,782278618930489320,2307224043601691872,1997853569205778536,2447870496370165664,3417262263939734720,4423892397519460086,2689738721818764350,217131596471345544,1792353220886508920,2595538674547526526,2952625633526885028,3486623734224416880,1233574948902657520,2613421202647509296,1474861008896909264,29321663863072384,2052738475861687040,1263185333948560188,2614443883641285696,1094359009314763152,60854873589787648,521669596469733120,3478173279270476800,3145585966840936248,3513293830619891900,669888412574502574,341462360311071642,5518228369883518464,2695054735079774920,5933808243708035250,1497462054787135290,537711454490025816,2613170247529713456,4775090959462724622,2282312004159001290,1675042883887897680,1245166263234557856,6161485992137181888,1280439763570567488,1260525459859018272,5916558987816894984,2121027545967760752,6654529700650970176,904970915486189776,2680170854618596248,1696875374760820452,390483974250068472,4556137779748838640,1225856319779902356,1354934975772967302,874286255308395348,3828701817618177528,40074359764144128,250491751758333600,1503112533244315200,2730880473424638360,906950438616544824,5209985249202948084,3368467377884344386,1784174800315939360,2177418807744701952,4383219383719735910,1682437381636624662,822553445480309472,918064870618368888,150697134111432650,1507133627006549500,1943164140729738136,272692079132370352,1168806161476868460,491863746070840416,5707196480390075208,4325354865469134280,870690188208845756,6316555497816733884,5018580823642600832,4767612804779635776,3201792004162892640,10382026324362034,622988585885552880,374449497180834036,2676731851161806928,3629139647779634508,1697372587427078016,698007051915469056,4986626635605432972,673169872275522832,2524658374967893320,186871954477063748,199663076182842840,2795583461395957680,2682864397913976832,4876597372976557504,5463716593531808808,4652293431333870112,650980085023321264,509704454748720868,521191225079964810,1906739269173850530,3454478590455706496,1587793931179997632,614435372579663448,1951150704820195068,1513971365732905068,1869086863291525360,650201678390103070,89560611210716842,895702216031751520,363350418030404952,7960631905083727818,4776580378907156304,942854870250283872,131006309317173340,2360103222594545532,1596729992058755736,7446623387742668016,164646392693087232,1646640448923273120,895327269159064336,403672038704689688,1834937903271106240,6421450015599072286,8233566084058760406,5333157369077204928,5025083178544952768,6190627715528048576,3546559907854546752,1072500498193022656,6759057397132073152,1103329590578151396,10149497340236520,60903505046986560,1827300785554540800,1543293928002441632,91487362244265188,6404800888365377680,2635979217589708332,4116938384354386192,2750824546462366950,3620748571736121280,2331790130861855544,3332882034499695584,2926362966526112064,1115100345641894960,28342944081461212,1133839017427328240,298417039322443832,2984489503003030720,797254597072647168,152561621278552948,3051558621822797680,1589915005253666208,6470105783615130176,4333175886183846576,5435708079008915386,796503865731119872,298613670595205504,1560384870540362986,386800145106803264,1463220043271747968,3630975875908779888,784235386786241754,3288635615588786036,358776056861811680,1794071829430628800,5388798785105584784,846746062324887666,337751505203873208,1688937784114755480,481098897516192620,79679523772442244,2390640796978205760,2353568662201672192,1566059362649241894,817397112546979874,6329757156560953408,2643146914787112240,4697759556937150970,2241565571733122466,1932601624492959264,5412127080052169472,2837122806267856456,5024547426734210736,3694551967391093760,3692073272186138672,8241565153642785162,2525840493871441602,722089118145563168,966896018888696568,300223983291296988,4614799852983851536,221944294247910416,3333831468993640728,51754736740300272,460091099218535680,3451050713053708800,1213434589202354496,1551310341009200748,3194575704269241208,1754278742345580216,1774379260798880112,543221542195775694,3541277831045007704,1568233934884265424,2395836100516953120,434784100492212072,4509964068564112088,1773731315041184912,4270200174333102304,3534057681623692650,1752205450107935982,2258528403972080128,393031734503762592,2183741801545214300,3964634432355189696,1081616735363715756,1649599105396663176,6268115925588897744,610711005945215418,2176159465997991936,4020257120814583400,1242999414519846376,4551151434800806612,59995444806561628,428584413536263400,2571779619125878200,886889008517094856,722616461476204864,5802619816321352752,6049128287175894564,1723166801778839508,607895865754057356,4342574256201767400,1640372026891285590,1484393706266554566,1216749508463894080,2042486476347675584,4171548136937898192,3593635708851963152,3101962626884325984,1283518106332879424,420771261327384058,3919563347337253152,251714033855771240,657906197142161408,424894428042518724,6374092167238618980,2863756927405064460,1030761703256919984,1627287957148718082,1546315411634290860,2022097178409789376,194797079374573936,260704332035501652,869106514922349480,2490610383625019392,5774250374036884584,7472875507787617884,3420108370769816544,340221312791940912,6159668467365102976,1742907196635607716,2508321101261109328,6135503304501547848,2663002264273922412,1309926654963811248,2822646962296959224,3732642305979957104,672324700835114600,595343854969699134,120060649562420344,1878243221054385892,6547720485861928576,2173900990373414208,5026981413479880386,3915048788423881584,5570002172072510976,3549097045648827496,4281737001006837762,183954754911971960,7358968087476395200,799086556000425854,523724523379303428,1139628817584045440,289719208878396672,128154187852464648,2242935258857924820,1610228595265445712,579271859022846896,188197205386887844,6797860360015582,475900483762623920,4759507433427947200,773787414684917682,1420398328425743776,1118549387321748408,4594695445848609500,4653334963414205724,2206084711532077408,5325272853921874368,1376764721675416584,1696415034510845848,63723739006258454,3186523126151653400,6837328892758788216,781830055110309912,181151244615657586,7005905246770501568,3003556721509536192,1058297661482721844,4885910229752670160,3429093007352289872,1735408571550335520,2370992623579497152,1078588268331168994,3021238406633384160,2109953101750378080,3307784497814837768,284535058507067130,2439128905940854800,316648062801288608,1064315061458615694,2943007366536561992,5568349191970815208,908944992625135424,4765401954783652128,1761772489263232832,1959405220564388592,5422836071840186832,2383097037693006904,986856934164827856,3798914966121559424,170924132346469080,2279228275020530800,334413008035076620,4013378353414809120,353597904788933436,719568286786643238,2083042221175886656,512527655996641000,2148480386185216800,3240731571717307224,2114039820869617410,2825391801427196664,56931399454141500,455499079084266000,1791457201650409074,776205075928149504,844833766909930760,1499464261234570988,916626731827541094,4931047154154584988,2311137946048348060,2582186396414291004,1284564199393623114,2920426165543706352,491595598770996720,2791682760889672344,785848603994939068,661005955002431584,2134465655007903516,1053083678394855244,1676951179335025650,882942497535185360,2491968801893424952,2205741563888240838,2282081939082818586,508235745143270536,4356763490994790560,2002228044999799734,476860969973775324,6358813252507269760,2051319632345034240,1332524028149236832,3527362936919334254,1957240149951476520,434065435350587988,4556714831397246112,38617415889837172,1931073210799139200,808604099949697632,5391259019234113440,4464041756624400366,1702402359146677580,4360913152417323264,6600222896039482950,3639804757652340810,6059624959718526168,251698666463091488,629117532179471868,313421329554311286,1810494667056870648,369436073852110056,5417471295017025612,529017101169464726,1702279458764323920,31537495393930080,378489557933048160,630881953233487200,5113186971567235392,5048594405965002984,5366350736021162538,873372641369943288,75194217986461016,6016166726765340160,2704363649510992602,4533843752782085466,2471189832985396960,251474210563240756,4360415455531623096,4976613346379591628,3994689504518651200,2936401359178270256,2457226409810640288,2477198952732950208,2312179961894512164,3379419254418532160,131695098592073682,1110461968575243546,3443304086011959008,254901836754049584,1699523092973357080,1839720533646848496,4036198691893344408,95002705891816388,17493596583080254,224941155490508940,499921424670723200,1812060055781806992,2116156895790948024,2731721934270878024,1347299365065882004,84823595766124176,1696648950795620640,6517054229922319356,5414486742149974776,146062291998544768,2559803017456153530,3004574111678735440,6363500263018271884,1648974808683750324,3004411851665723080,3466583478809368648,122685369962659168,277474075021897464,3503267900722914496,1693865079762605552,653829140242243056,1679103804990349584,8089137163120636692,2189767260182405890,579188941393140624,725567924171267328,5442326352642550320,517011447207527286,1253011649400870420,2620509654666850968,891591569952071898,1794012410047107390,2206262482672714416,2789332523039275616,2841509875329727938,2429544802687918384,1464650342139495008,879515850708873924,1854351332545660944,1659236029848405568,1706914198553893920,3909726447629796192,4955944022644853940,5152891422976176928,5100894036062251672,621790137494195452,4538469821600522808,1685272501420030860,8135329683598258176,3728883109086411072,1700975975932977848,7062164919926762688,755594109640069668,2451056997744746816,1227753844889547468,559713006328502208,4460584558562063920,340879297927514416,4387554824457221648,5733439813957353680,1964736428888958928,286054468378319800,2858742082190300124,8539318161877009572,7213266167985604992,1716675688240607136,2848164172666548888,4647979939780684880,3529497959548049740,1508505871598833968,8166478289558907942,3848846045697146544,331048535647185720,2575089134133644800,6508973479960445104,1980179110096528592,522617108370362460,2360362520058611412,2018668072907438244,663800529305389784,1808416732716355712,4886867899868502576,1161373061506132952,106796971029065898,712053621400885360,1383815542145378056,1126995509051811070,1706709364105358440,3264905785941151536,5929878268000056240,3396015065003028384,1672428295713998912,2122534703184639456,1129786333757309172,1789877259126834956,2681625872508476272,2882272456945526496,51363743021961720,1541071858308360300,754848337048483846,5070921989774217192,1579553951297724592,235159451916169352,3050478573232591788,1051540766283663488,1868472706509041280,6706917444983613664,3585600189304827960,462278211583119404,6310159279983390272,1531185437606982136,1619952697175491224,4694160925478876928,1065793471298127712,1690803211553033718,6724041336960722320,731385938128546536,1796109959881394844,230560824600837752,1546471065184670928,27722893357502144,831772760409104640,2559115309947125724,3404705756255111584,4158804409442650240,2547166306214769792,3640325812879677912,2748496936348704276,863396829272075280,3065462461305530144,939508383202945162,748810675145794058,6100413922950014304,1798564008744756568,2750610252651109712,2775063503957926090,5953563019417018560,3564604890895480640,2396700369744331164,1039629493291849068,4189123456042089248,1283878141424613540,2594701293189649896,953932437007929376,3687100724907803136,558956634044907144,778676652260872190,353718863137674128,3537553401292274240,544429913260036692,6818106113292772688,4927172802410400456,4587222271065929568,1412495391198155600,6293752255074176984,1939936386346506564,687406402649836072,3283386515384340792,1966359646153945710,6963354506466913464,198764564412875776,567957256502609920,4561580120489839540,2689643663745739428,1253762701814359888,4359453775245811224,45887593190440060,458923178667972200,2927183923310312832,765627501221447328,3617334320784039688,2529045024702168686,5030694193647166604,3028416058236380588,4198162740611274036,4826500279754199744,1291293252891193344,2992077343184981688,2142311238365798730,2113928984321832020,731236348042947968,1518507679286919272,7490233583172293382,595604718180040276,641056213760960704,636640061061458736,2847338567126795760,6044101532804754370,903612549703974376,2703930668421572512,3842200561776725104,3744797676070998512,4628479206867502672,4055166308427440960,2622844978125198736,3383322596123618792,1442224323616008912,2201808030941706740,3205451897630317608,4546699181760732930,1498912245698774760,1854124204162507776,249283076036588776,1114359965605609208,6800643857215336576,2269382597273260224,6301000578043610192,1042021774156531296,334210723978038752,436801600951119208,3457080189434036788,190902664368697180,6682278649389166600,3306273667072290992,2056643239310607792,1482032745238355050,509705920054558584,3398387893593558720,6538727530801708880,2507405317699064328,1805198802008130624,498733985113111580,249558490891735866,554631260790782840,3333439740104695168,2866679318151001440,7062005448563738960,381459412013759144,4768731131191375400,803603554933671004,1630589954556578568,5435192158655926548,5817039954050786448,4788224160602351840,3352478294961701336,3064917706647004740,303063704157013992,350848139757570756,1387270137745614374,194771737702396560,2727083398722493440,37242817022483072,838049129068591440,6518826819991085600,2826522929815694620,1585967361482117640,611310594347827984,4448846562900531792,5595958512122328640,1127894082578608032,3629561487784055864,1601542543652712290,2564458874279063748,8134584064676438256,564284721088035948,875466786704099512,3879144429583745024,938958389067564856,3148772134279743790,4113584672455682424,2706547557977051456,8322693577699348008,3388084365730452682,1889882999019688536,6157976653685142216,168517080526028864,963053087882866960,1836984040236223632,695265946643195648,1054100178288394336,686289985494015252,4061259992991568848,609073526235945120,241877538534864192,4838044482973139520,789997534046444304,1366340721025068848,20888088421524432,52225548815008740,4178470134663249600,2764573373754645440,1057882774237806112,2876365954083484730,1029400374714787340,641970344688655632,469761673266762980,5637714831010275720,1220783720884203172,246105381176144512,2541468983656904560,1603449599514282000,204429079421218336,4088998247590288640,1590755528032199620,956199685064828616,256349071982347638,3656084957337679104,230285239776464704,1393137600087797936,550696240213987258,3097606721952420300,2307513153030213744,3270461100270292818,1401037058860900692,319816573364114944,621147494190067256,685841783344646864,3957328781664030416,331081009308962520,1655573511284539800,5009279896877933040,780127245751625664,5787886085812803312,837405779361349008,2714776666366931740,3742453850363756570,3607513269697805280,592678052949629416,255137544569496460,3061961853960837360,411659275894769760,396491432970752896,92306915385145872,923162984063729760,348161682680680792,4565373355767621336,4490419139730736164,2491078044490041032,2767970838081949696,1037700970286637056,1716557513919252660,6298914808727547328,344560873394174632,742092696885326172,3883437248009313554,4500310033707239850,3255324524487988992,4157328627109494080,870793727895758730,2819914956182411856,3964901579792604948,756301777415535140,4839116612901400746,243269117246210124,1216469016672494160,126979369806749824,287740690384287642,2739407555591392344,290854657054773028,5663280250318428192,4772271246099741872,558908552864517376,3493532700100979200,538090838276726920,559870475750352756,933212064333411060,2906768231245633608,8207934064264274184,270451834602798758,2213513155616277816,2964514025865500112,22973843197672800,1378570265485101000,2310684469891981708,3144465221578264332,4877801353188027252,998905547726177140,294638776751674680,1473343086815059200,4285281168781150968,6588882219451038752,3235935466705283784,641528174635544132,4560242653881150768,855516360276952740,3086528191087226522,469084144234609648,5251604664411407232,1816354490382135042,142300720257238856,1750321294341021584,2601381961470959568,1964970357666318880,4863641237035553030,854538891444899024,3288488376995532240,660626923555945092,689323969331967564,7805800270294593216,4400109032046686220,908563197510605068,1858862087633107242,276228072101793504,3683413219019663360,1633803150942150370,2453890159172023664,637039079008397976,447437049411514344,5220626309575336940,3279185556466753332,2640169753967516000,2055280258975266960,3237626805526737134,674189291698274308,6518293945358243008,976704374536073792,2794076592423990984,1408418652188424992,124259309325288424,2288296844360751024,3394095015243739872,5712653145131494000,1981787622835646052,1795869024811187072,1602830467187293032,6241767298326657468,47457650012051136,949248748265600640,789277207344304808,5903585566274502876,2802760528325690892,2619186128941675128,3660376123330092684,972481819815606672,725473730471693888,5441601502768748160,952877609642260428,4784239530737012112,116239225797572976,3100025075700967680,8133705993206705922,612166293480015390,1635881869149842048,1066478520486923712,1164824028925593036,869416868172885610,6892037046484264584,1439573499321397096,2331811273020839046,4865981887425248576,401241273904646448,345948621383547312,2422820695376768010,4393513487000740340,1704519568656557856,4696041980949876224,6369037795057405090,1015423093178377716,700186286345172112,332265709218008592,3876823278391999740,1151198448758982620,6342360644165641760,1957525198432134968,5112095147165100444,576576966659106028,7205185080032901480,121059836462641664,605360041646276360,747867266052510368,2804784178783417680,1629337145810963792,98736743920272276,3949866693366474720,930076344057535584,355216381206020184,3990423701790668142,6569204502270433410,2715017683654329312,2464523099546138568,778435764213564024,2725833675325673178,223750273249276760,2685272914932000960,3968753156744153472,7849838738638816192,7712213282184651012,3039841247867745960,216359888456598264,518735870535221196,4323232785162464800,4774828436069039712,2542071835012270932,507609433187727256,677918800785439220,3874210364428482400,1442268791795730796,1429845806518826028,3515514746030348256,4585827697943494240,1018073313704539870,43048605845822064,1722116892826686720,1591600021390257040,577999330304071494,929806725113129686,649284296821494656,1784962666291969304,1666502591222234472,3409873076069453700,6263445405397112820,2922533730652753776,3052003040993584504,645818900129042514,3769068365354062848,2878423732298806016,629183464515665682,302963057717356464,46510953477626128,581445134600201800,1315652118397546608,1292159272369400284,2344711683073680320,2083477016041657824,1903835983474830392,4758138218954722086,2624391699988715460,917782508215197408,1107559415657616948,846667041564615926,4240057247289570672,2139138141264205824,664619144035972190,1977127552954270332,2661229938327783732]
[1652356701,6446912992,2925487872,2095690564,1809529827,1266546018,7774179584,1640221767,1159424406,895774170,1040112354,3783594556,92616240,1892661921,591737631,1554370648,151956326,7395450462,1330324504,2405983160,4999351644,5244257768,6647285652,2392406170,181846917,4960966962,3975389586,7668192015,7043460528,2333109840,353599678,2793027612,385046302,451236360,220092683,4875691784,3405582774,3021156436,892951801,2145177692,2235489225,563606838,4411812853,945922599,1699467429,218547644,3918859930,2164313637,439993965,547430658,276439408,643729494,3313425339,940799704,787593546,276894890,4385185630,992879632,3116420046,1153555802,4127656890,3131793165,243627810,536784927,5249235510,2787814840,2396741916,575036435,605589559,1933131456,3227747850,1530223772,947471850,1688404455,3162101360,6599419022,1730113896,2843466760,216817100,5751898334,987893201,795805744,1693338690,7603968465,3247304156,6982412465,845820216,313290460,1605744124,4704860178,2884025460,1341694445,1175432640,127523616,73116182,3596179704,8189915400,590187269,184495249,2954136283,6487481655,5610451984,1831765338,7425855666,171095900,1229517210,277293895,7657281288,4583521005,1996543020,1605886184,560858518,1512754460,101776402,785365948,43509234,323487505,926119530,235017352,2600679444,1847943852,4053249348,1823481966,436916335,5711227386,219912966,4060898265,852062814,2934669876,626939916,848133450,1287362642,805511312,1934161436,2769205167,3501076668,1586158470,497419845,118998525,3781324252,7845975738,2410108580,510110793,1702883640,3744566164,1425494885,931440225,439340200,2375911520,2708298858,133782960,1041908355,6617038113,671426784,1053386499,5488368900,1152776760,1254486616,2980819630,3258997744,2767503810,188373194,5130747489,1103357898,1445770074,258676869,4641857640,6286326963,4697793500,2803278114,882148316,1390058601,963439406,1689892078,4866156190,2076608276,764802508,5894137701,66261568,5743605510,445070907,3904392435,2054195085,1955683054,2171987985,3915024684,2689414596,1017093256,7023843009,3333567712,1142264292,5368011660,4847704152,17126518,2764404498,7570755801,1957789008,790473312,4616851880,770161505,2094572136,171462011,8929209744,538992893,6262365963,279272880,6010439876,1901998164,8881569054,172622420,504786221,533731220,716280775,4853097355,649528750,2737434148,100181428,6492236064,457330192,1430795785,112829094,546699753,6620547885,5092409556,846800380,809463538,1122721396,831764704,490650600,2882751801,1732838332,1664230940,2629543494,4418891604,429420501,7617309480,633285836,1510877624,202620012,1790294506,900294248,1588537220,4574478605,3423756329,1072101832,1447910955,1798040826,7998818408,6591590558,3269005470,7241986368,864987284,1689430656,1539963912,329553392,58716244,79235253,1180038220,796114670,443392445,5197276028,4425425872,987562063,5184770838,1098392352,2911047660,71818810,3593961540,1732251258,8712976293,3313412500,1688315762,752876260,45104002,840909223,3334759224,4215335150,145302444,4900098204,106271484,6996284226,1953207200,2146306580,901865605,4180089344,2228989658,6692259192,6961320135,4092728200,2510282499,378343255,4852112400,479697820,517143032,1136473730,3869819880,398013870,3635783944,3543678240,399175616,7871924760,1528237040,1741902744,1560137244,2205692408,104560700,1917230196,3589935300,1375304120,406114360,237493226,878427076,260240023,2528562456,1603860408,10620989,3863134848,1228549968,588468828,343774956,704149338,6581725850,676353435,2006751963,663724144,1421011384,4012628585,4094579583,264725448,970221924,1022822764,4478887230,6096850732,593333301,658470240,3710105829,376879959,268195075,3085275870,4509936240,4734779664,168933181,1101153158,3939624101,7759496632,2629472781,1004409280,4407034332,251205584,2967023880,4976199405,56453464,320397746,31395511,984090894,2263957614,4533379002,4980536192,5402349376,3763315828,420051978,418376946,971449668,7556060286,957486649,7063957161,1300427325,1308453321,1502062170,518279601,8785377432,3640178545,19937499,465051864,6275235465,1537751220,411325160,6555945762,7110662000,5325320106,2072607390,154307512,183786306,2645073144,419396622,1369877548,3848489310,2545125836,1283873232,7461194994,3904727688,430880829,810942180,1767365826,1225049268,69735444,965138588,4910060255,4308140601,991217950,3329084340,4666346904,6750062235,999012021,1180596725,547350326,4512557585,3243783488,278745030,5913585545,3099756123,4383735940,1360977378,1488839346,286451070,118350608,3225584060,199434384,512100391,109966227,6205455927,391120964,2826295808,1659500082,98243725,1058161100,460766596,4925201530,124281436,2915100786,1578096459,6273235112,36857055,2586190818,2278482183,2262304760,939595621,1250287725,857831012,4999351776,5005568040,1612621719,492787362,7951724232,871176054,4538824185,6693517341,904631444,2485713559,377143753,1793959762,6527546280,3856537510,3231410948,5047480200,2852646370,5795692546,4488826795,5294423562,1802109260,546409890,2794716296,972134240,46901684,2388803100,1092694284,2039905805,664812101,2330584970,743597768,1235178336,698658774,1993824717,239029971,7132719528,3558773876,1711246902,3075663010,2682245428,1201400982,2585425965,1325116770,2723225400,535882472,8941073148,5142641800,2394438165,5894387100,3694076916,106360801,1002989070,1603327808,3691203890,1792493526,78834640,1291923207,2560012617,354275979,4693929144,3705141128,2528717576,2545752880,1477044080,2253262552,1052627276,6637483395,228035416,793326497,2043207621,997754947,2299722363,5449544304,1134909730,5358186000,7155793008,6162021726,155035296,4578736701,85072120,1184912980,5769408225,871133503,417177083,7067564532,4114176957,2197326120,479770107,2950470570,581287065,5702756535,252865172,1117556586,4786305546,5481708720,5409287086,7507262502,3569948346,654608001,5110712826,2138802325,2803726206,3446293224,5599770810,1222912293,226772828,1651396110,3822829632,3849383200,977859240,1752930720,3537255717,386801074,3212987744,462323395,2836597048,443014038,2124667293,3764812020,198138660,1951038125,3721995945,6169232560,387186802,6176537815,367604776,3360380454,3785675032,256767434,4152307012,1217196021,6728728194,4818283295,284327340,399664311,4328628392,8771416272,2207966211,1023098027,1642707846,661997930,755324343,2458246914,230890824,3138663432,5218541586,3034801515,993391005,1346093570,1737295862,1094110528,5596780973,856150095,1145625962,1971332955,2720813586,983565176,6475447188,5347505282,2695609730,1344793368,2670173920,6026907677,428119116,3623492718,4427644632,3967606910,58665198,3787658904,174427062,7814975000,2488489092,749492981,6934807068,1996864000,1157725404,882465272,3680826372,3484284888,3340705080,468695132,8279699049,6061279063,3279661763,4582046691,316481411,730275869,4915643264,105225013,3213871252,4074567984,624065662,5933853872,2256712955,2858500704,917597932,402552110,717226932,4256879100,4575113556,392995218,897976110,8653750470,2714094804,237709102,2031975768,2201111109,697612356,1118832533,248527032,4918826322,3961006569,4677785819,1656584193,4759207845,3521674940,629230188,1488995460,2583316184,3072016660,3815771632,6477992640,5107074156,580076325,4632258975,135640071,1459328559,1983263787,1457198088,3973679202,1499613572,453698557,377392720,1354694007,641272565,1720415034,1232122125,3521692785,2838125823,2680844766,3289594604,1366624005,5593488669,6051680915,2859426522,8146259892,790209474,611782992,1493354460,1512903460,1204840336,3530284296,1511375278,785607932,1509124662,542410918,4392799082,2439623864,452624538,2379767760,2487654558,939689208,944308836,1156963560,133100439,5560919714,633442171,1938836163,936902807,178108497,1528295340,3882868016,5132100328,2757447780,471461874,2825642200,5633047914,6176175352,2006039796,936158473,1586481996,1425276962,7595622432,5279873795,3702452748,2526746016,1433681936,1186461270,2475964435,337647078,1475857624,774604576,4571621380,1751861745,4959241002,21094944,937047075,5101133562,3578637335,6687395469,2495838678,202542820,556666182,1301724096,1659380836,960525504,930124112,8793862380,1970314780,626150559,1347482975,1780643360,140665800,3485817755,125539623,2059949229,2913147536,2202386808,5341398273,4024294408,1590338688,2758233436,1177661484,4623212016,6570531366,5457466584,391017954,1643701338,393020272,1035146436,251302184,2906050903,3218133748,1907134936,4616567184,2881751544,7878589875,3619373350,3114660732,2334294252,3350146212,7188922152,904280744,510778537,3798611024,3741865020,1384166518,27979896,725228300,3992822300,1580311578,304556616,355566472,29594659,3517617114,1069314752,2853599024,65647806,2390211600,379034296,1723317309,4328652715,612369259,8659159857,1096124458,1081147700,8809074459,4274636658,3958693290,4765744938,2416454946,252112125,5317334652,5487652458,15072988,1456283862,30679244,8706261141,3443493114,1759728236,5629066856,3638778948,6544920267,6146630847,553280202,255099634,2080538058,2452857480,1270635250,459969820,1635883836,785044974,173087277,227015624,831663071,329219080,1672759112,3966865884,2952323736,148928241,4715929435,1878200685,4432511961,4955632175,2886444248,4871575415,511111741,4073753136,2624520458,841037716,1630477762,2568971166,1153121182,9868143,7728300752,4450207125,1732621358,3015757872,1906289960,1868271424,614340544,1891409030,338435250,34347461,2667467296,76259908,1518886356,3616722432,3731847630,6507138213,7387283128,646359467,5934250861,2153079918,219530985,2805384872,4034978525,2630162547,587561073,680451568,814438966,3418534945,6605383644,1903518456,2866510824,643170200,5718922389,1113972648,1627769156,167422717,2823674538,344395680,2446062748,494080978,4738708557,4110187656,4527593235,1749789508,664634196,41707326,4047481780,4229643792,106667828,7813294704,4523283102,7043690192,1690249356,1523165187,4402900233,6086165931,983749412,7674804,5910114234,4712511128,29824624,262558971,930123291,1632007552,668128435,184547476,1092934964,1236086450,4059663630,877850302,6983268509,1160289150,6387788360,1428262320,3785905310,676327453,4649904945,1539316436,13047803,379767270,5981654664,804885263,1649128416,2796858714,3684878407,5361239484,641271806,1009881752,2213070672,2432089266,5234639264,5186758808,2917055928,3113596425,960256182,2129776920,4583761680,4466435695,184319532,3482738592,2566900455,647612390,2593044573,5893683264,26540126,3360988676,929249728,7006884376,7783721480,3176070780,7116347376,2799902241,3118895996,4093890703,4620632064,672304656,1703889255,729614175,5850676480,2431021075,200321217,907653200,770657350,5026889931,3251294748,2093446785,1395939756,1409586609,3358212868,252555165,2770919360,87631836,3495310424,280956856,2027066240,360630596,2058782984,6894625112,630323421,1471705335,4953374951,596243214,938981019,190850016,837954681,147118864,3175434195,102636220,715168264,691204210,5565086208,4498138400,1288548594,169395521,4312532696,3626748335,3220458330,745927852,6660523233,5829535332,2447768634,1697293816,569840490,7089256960,5786210392,247453544,1333421502,3421513446,716007392,2354060008,1973566308,4059509196,380074512,4730945720,4563516363,2531186370,531552603,1060736518,936193426,4482369136,7538012056,119331642,5928006,1450413459,960181614,6228631773,8215005078,1349604650,312705940,2608695972,4367671255,853807268,3676813182,1903782735,1454145486,1214162752,6641163641,7860689307,1578162185,1114815218,7656914512,1261884155,634821603,5420261259,4417613352,596445048,1992394446,762176655,6428767044,1732573982,6118232393,3626269188,1038698976,3435141695,408799614,4678221384,940384782,1312076996,2514135772,405252654,6108719301,1815931085,232364114,126621252,789440460,1706915439,845139505,5044090077,4672459865,320844345,1340692443,853280866,1206064904,2848420582,99522874,677206440,2852243988,106242733,802920540,1730922990,3182369080,4375915852,1101387600,8483418378,214664850,2501852685,891603772,6882228448,44211720,743918114,5945244258,551590487,3391688676,384435414,1557094620,3232243430,4779515762,1585279326,2297407545,3924478130,4932012351,774223515,8622127764,2223248680,455268264,3252539080,6720007735,297170348,33283956,2414415909,1614538446,2616161562,6235982624,2652723468,5659649271,1656580491,1147405788,1933217016,2423777036,2644584438,866108352,2472255852,396673134,1062529202,96233856,1998963468,591645030,3483037173,372632449,8180468190,1054204284,1775276000,6227094560,5947070962,2417218125,4329439083,6049646224,99559452,8930471607,1096032312,6725045960,4839781505,1957315540,778251138,737537260,2674766748,1305348065,1267877106,2338558656,2896963650,6567364601,2019387380,25816651,1950665670,2070310221,1663490262,506010640,660642185,1049642544,2663175795,6081074960,1950607448,2724238032,826879388,3476991204,3090036605,8086243338,199484520,1837008384,4909457780,6259872,1013648826,2993825188,3166985060,1958917090,1599272514,1886510470,413049284,285248276,2241371168,920147500,2658392892,6039710159,569902848,2397699258,407819134,6898292968,1032616839,342719898,4053816894,1638940032,405617341,729930046,2038424036,540184905,1879062864,1549591056,8481456162,2021821655,2453237163,13329992,478537072,733752993,2382053940,4401309423,1196235912,255670436,242850811,665493743,518894864,187645716,925283808,3292844457,2428030560,1594307529,2425438050,3326726230,1832851454,3333937892,6612881345,3856219388,3048825028,1561298380,69006183,3539704636,5019138153,5943552702,5521825872,123642936,710467429,577559976,4497961653,1023766975,1640611810,7854136768,3192358180,29178960,4013470680,1280828664,2858943577,527562739,3377358318,4204108965,2075792946,6556160667,1409108625,4389017049,4059073720,3418360944,3262288662,2997410048,3795654960,888030660,2351352488,1004977588,4411600207,1811499944,2346983901,2597122066,1717720176,545779550,63898292,3465820477,221113232,7415745464,6999024285,5392956037,93051312,242416769,358509000,425046184,4673685580,7445151760,1615393716,170024177,609909020,851704084,328043792,2753273584,2645526345,1895323764,5732755512,154362034,334994760,2739506616,4441906434,1619055986,5907627312,877907855,5801557312,2357952564,1086261824,6266275965,4828148560,1484429140,471556942,2728311644,1392276638,1983698008,928932980,379732050,304607188,1954540130,1635001340,5964229404,2321897091,593506701,4280085176,1161184486,3859504530,1517073586,1329002352,4861116558,2597797017,3394889764,5243659379,3840235356,4723439592,2584854184,2875540548,274419224,4546431764,993430920,3291435504,355400760,760995264,3330425196,2871387273,7895946555,5227652353,925074087,42154112,741011041,516602868,2098039140,3986196624,2600518272,1824411580,48448287,2799490184,8650231569,1201427067,6539377788,2724357084,1758005946,2173569965,3191036205,324654180,251223895,1957093350,4430732465,534617800,5685645744,5139964014,4644249540,1685320596,370769929,1202690076,590064858,329033263,1138955166,3462480896,948649665,1197678279,5238336240,5496627479,2594930365,899456746,433827732,1277776422,774487774,515204959,3214792693,1532423096,444820834,5061445123,5787693744,4214637208,3842685960,569243212,1554320962,4861033072,4022589352,455279292,448432350,269886900,5545550709,1050613432,2825256680,1392448940,805039380,129888986,3166022972,1962319560,800354652,845352092,2883788142,251954518,14078382,6034498743,2399672072,1002698578,1234352170,986157294,8785384245,1672037200,2388615430,1112498926,422303154,584635458,3526550160,600320996,661412728,6501408568,599235070,1184593389,3109103748,1674341538,4517392044,910035728,381392053,769907840,6796579608,1193288550,6326602422,432655656,80565174,1806176763,2348189397,6142037552,720513460,1604665910,4201261805,625636617,8180887599,60632760,4109281036,6855017600,1641397796,4652910745,631460128,2340570234,5708578080,2249098396,2593315690,1044878760,1743657762,2145358388,1643463444,5250684072,3444210692,966452732,5062171770,4324681480,5923013920,1680898638,1596197661,2356519081,1865906484,3788907664,4793623854,6119758328,4850937345,2030560554,3235851832,3492817912,1461897378,3737506136,6460936542,4358089110,4150482462,4371726880,7301227664,572768848,368277426,6267715551,553940418,3365261140,786273841,1000862737,6306822351,1732817067,5431925240,5425346943,555385480,699013838,617564316,3877403085,2883367495,255567676,5880032680,459922942,630536696,6132501459,883267824,1881673648,4992962344,2556678225,1533198492,5620443220,276507600,952764652,6236270128,1068178512,1522993316,912032750,2748794552,1282859271,7872217371,397499096,4350408645,3048543584,4608172310,1340739982,5352194058,3128346204,449745336,6924460784,2540359640,8026023519,414821914,3967657659,403507920,2585825395,1571191228,1120561010,1432334776,1847820006,1734295682,1287992493,394244310,1686217904,88973384,951357253,14302854,727604198,1240718720,559712905,4316851595,1506165078,919499856,5874938856,2483917384,324100606,2751951846,4106654992,2606769570,2422888888,6942608071,3417597176,1561123198,4705419194,5261311923,562048633,1472020412,1793198460,60131350,866662447,5905165926,1049670567,3183496245,5741773470,6972394392,488615554,1651181600,938931142,19736700,3620036808,16921815,3694507200,3304463190,5602379376,1719338395,831392100,987961655,4983331336,1683966855,2464879641,818258520,2937030710,471167298,228626940,184300725,4972680420,484246905,3829534072,2214107217,2276635713,1956512090,953440320,2945751156,2812604031,2359954880,6982690435,445963661,3297814086,1038006291,2345934222,43632565,6248408642,3089150082,1651108209,4381222698,327797910,4798568540,4214178784,910850727,1096130082,6275722568,3916706385,2591480220,2091070667,6208512345,2557680135,3598045360,998890974,1703160753,554917888,755090002,1157350952,20014398,661308676,2421817032,2140586992,225924605,3856603568,2614013724,2895177270,3888633196,974636631,662481626,4882953000,1850612912,5324025808,265486832,6500830704,1053385056,1024916424,2405145174,4222350040,371931769,6101529182,4873165360,715076874,781146490,581142472,5916294366,2788147725,1218224100,874360033,272892456,4598527072,5509493646,5196998065,3385653808,449337264,952215200,306908456,2208830915,4140206200,528760436,2355386655,1016702802,784300336,2371771230,3102829177,1121165451,915730802,4342372112,1003855722,389957210,1027695951,2031379760,2196385752,1180373661,706328691,1959002196,1415870192,84754785,5420124486,735143616,387153818,1725826186,8682976872,2472739146,309129390,5034772476,6210182907,5969011930,530682106,2161268520,1224761476,1861176304,8425887345,833353818,3388749904,387872845,3031667145,7715351799,3279754899,866282437,2511861116,1071870966,6460578630,2370190085,1251487224,1373382822,483838392,6816749967,850918985,4078769796,557940064,688307039,678118596,2055186896,1611066891,3317098141,5993257434,1803961012,1322205417,4683206584,3178946205,3706922390,388484320,745135120,880195398,3691542000,3265727455,3605563820,293833028,83272896,7540380840,2120448798,139608902,2367280518,1790238300,3952651675,187993937,3462024984,3913390080,870973683,1371258180,619677996,379950693,1535251816,3204938600,1704453555,4508804331,1837267804,1448422792,73480470,5498984484,5984389584,4258580922,57071872,3384720740,1993667220,4263781105,646979674,1314842102,2515748669,1507623579,352936206,3794979726,1028753352,923675575,3292531200,2559439431,1975489976,277895616,1711606296,617292106,4226711442,246240455,1671767500,4416645966,5775601635,3529984410,143336803,2116106314,3916993332,205406562,2807596290,5326554002,1462604720,1682275830,5188849168,757396801,264188556,2072254824,2473286724,78822618,433110496,453633060,3098994234,370827765,4540689601,5225322366,760876992,2979771822,1969218176,8048019501,4139922720,3758178726,5363635776,775557120,4561314275,1636550650,4985729535,4933967000,1561986515,2445397120,1230961896,7399664,2300551692,248123082,673835127,3202166364,2272824120,1866986084,2149934319,747549057,535714102,1705019388,1033156230,369394254,174337029,8714690001,2552454107,3787288340,2057544243,2383482390,693522815,345463181,2408038167,4904478775,466850924,1042177378,2367638784,1178675295,197314263,571748944,5142713320,264136836,567872799,342924981,829571236,7265619315,1335984784,4111598425,3925442404,926465771,798327088,873681217,537566160,1103746860,4660603635,2840348412,3552374046,4944313242,2698457265,2270207166,4824797790,931960626,6408997966,7915903434,1021522966,5054532406,1450273182,3868400400,129600640,7162990,1999728444,3726536364,1172315493,2812317108,5284841148,5409840666,2418193242,755040006,3600583232,2234900232,3950419592,6744209472,4966605175,182292576,4468518340,1847527554,3396201780,1438481133,1652608224,2199416380,1329161582,1821732230,5116784454,690635190,2389201080,166589402,1221817708,2737990242,2130326949,310809475,1359983150,6234291256,7575533676,6920605696,5746217463,1652774232,2258740287,454054044,1103036975,4598566320,1902837960,1117247412,1947205780,2470781412,2124150222,4059241704,2143493472,345100284,653249016,6157211736,7187940252,719234091,6059839359,5973341464,1067239314,8945477334,463161171,6542242299,6451328863,1121799960,524084592,2805453000,910351119,855997440,360528963,299422172,4674177875,1080464704,2605267308,3067601468,4315097822,4198480,2243069154,984993586,1338915594,3583697929,4465417572,2243277858,702124824,3786306930,2729804910,3588802068,849687613,127574252,181742261,6758572572,1729039755,3923188570,2887851372,8551052028,4320033473,7408033296,2392121350,249010870,3415638924,1143224460,2217297456,4537849104,3501347589,4212130734,6165865986,1114137384,4065105555,7947575775,5693129502,3773202252,42821280,3079384205,1693127401,1889958301,4639972055,1311114384,431486070,7819671753,8388378666,6189321654,3896774833,3466301376,6569507440,59216124,4599121805,273939790,949487185,2660862747,2467622100,1219612396,6216319305,209215354,1130605710,1373093504,889376312,2764027624,541880360,3036452825,880116414,4144081500,1549029060,2734231570,695526696,1938772134,2371825671,6334633340,6230630538,7471208898,869988500,3624950060,5048410725,3010655445,1308154936,2046411101,1392536520,3157508944,697195531,4139496804,2483323872,2099480625,3140505692,278862250,932115738,1264099512,809545796,7384076343,748389246,3375858976,6201725382,2522270160,7197366000,83034765,291541160,201774559,5155282576,99399160,801941476,618132568,4927917315,1558380558,2108672964,1764416574,1779820600,1400114664,1444510640,575359900,526242094,681180384,2946673212,5703877192,859252304,2832761835,7316093272,564746313,697068003,5774854547,1285776054,965263002,6524327754,5630386472,184572507,4238103723,3657703105,3304187088,1063384968,2078621069,1775243038,2798652123,1488054012,5892252779,2237317938,2471684598,2485056679,416564258,1590441636,1116191770,5475820176,294170922,3590622776,2034102555,968989236,3704342013,473332563,1799114632,6808811607,4295201240,3450807052,2674596924,2045160783,5049016712,2349152617,6410355688,5602874949,1051567126,3811732740,941771479,403777250,5641401378,2949600928,500877334,104880669,3819126633,236847624,1573683644,8082515691,1279550724,1502952784,53994015,3893829546,1738634859,3236811665,3213956016,306374090,4941872910,5150934891,3915440262,3058391528,60639140,1769119430,4479980550,3497695355,857647218,2708757184,1016676712,1160727932,865429592,967933845,732726703,649882816,1870098155,1535808303,5331856509,5134874334,4165239042,2790222554,522311601,4787686416,4748274621,520804383,268718611,2916932135,4332070995,1620653724,486535896,46854639,221379180,1420230880,6115676623,783438957,2696871033,1102490648,3472112752,2213841534,1871098138,3615009400,4258198860,1575792184,3963922424,763937900,67722068,3451939696,3956777700,1417907742,876379665,3808708050,645290050,93049216,5119425927,2925292972,161816025,3759496555,5442747462,897008208,3832431344,8287346511,3940265844,570278760,1155680820,323499561,5279432977,3867949932,2587370632,2170715505,4688286270,45226400,2027236665,5909880537,3195068848,2760152823,4680303865,6839649208,226517430,642229350,1694182209,72923168,1087000596,384267789,485103132,1959213400,833039574,3266852655,3521926261,2613587511,3233253042,4886260128,2517035692,8856614997,3763805555,661748777,521494281,1010635683,814715847,391424304,331062330,3726933208,1747955739,6032932983,6884445717,1227841148,4626323232,2706810760,1798009968,6436692045,1061640622,969375218,22363320,3734128700,1056601576,4386583645,1677749087,1759096347,2929882383,2833630764,157277619,2295122336,4349198205,3931258356,357155735,2637890165,1400073770,385724393,4470965779,308170407,6450674688,673849963,4256583088,2187144765,5357236465,2966766255,3255851520,495207016,1972692414,243674397,2384770990,4073655018,7409654766,7013399553,1160910964,974817420,1643666744,2545450359,1717014429,849227533,2032393677,364003713,3977125695,3768580124,350075478,1558744692,595797494,3306344419,2862455276,3584650869,1400363820,8824986180,3585738068,2847280302,1450659762,2948074984,8307881577,1193129469,536701172,765901915,251028300,1999184660,2381846076,1105556956,129018177,5959410252,2582342452,6790766836,572704134,2547489384,3519559592,1543563984,82526885,4614353664,2695906986,400728920,450214536,320044784,6277403587,180962622,6843190600,2532822792,1057812812,5176524536,4390232007,3651709695,2353244814,4369417060,353889730,3780948270,3017502615,3910477635,538594183,301906860,4924533072,6523474517,4442313162,185654142,1549976925,81114608,107699181,2259839484,5704998928,1624780449,306339568,3565895074,5878698360,1510745970,2949438964,4409341728,5651658504,1354107330,1642040449,923406678,357782085,3023678430,861232175,37428436,418074741,69788936,1085254004,5421308620,6256531743,8061648606,1776605040,2189048345,3843533620,1876232504,2558551275,2168581404,6887686,281400848,3572635072,4081220290,3924841805,1552315432,698022126,2152748060,804242928,2119106700,519977817,1296247745,2965490196,4357715410,5628997213,893225640,3362198292,4075237752,682653540,395376354,232395675,1083462450,4341954715,6490212358,5322599340,1877327860,2592129208,1825181144,1248249392,1093014354,512325207,1113534354,1733021740,1806313355,102577694,4604599380,2224928775,3300828432,3980080167,1119040320,4876044975,941922489,4916513888,808106194,6212143854,2118688737,513662568,202731348,405564020,5164821468,1667799624,1394103450,1963314612,350791120,4469608976,175100530,2365523181,4926130950,3986592150,4598593616,1502671822,282991905,6042663725,2020128040,580515531,802209498,227144682,7100152434,1191919140,1133637048,470490609,5796465738,287290080,5265402792,4563573168,426873892,4355186139,3021256068,4903212411,3209405750,1686768762,3083099957,1471921997,2905040960,3275186159,969181632,3688919228,2206088584,33937011,365859291,5140365790,2363304540,4694570008,2879702205,2457963891,3301484720,2030358480,818882863,1230300392,1383333258,3711726448,3993716016,6104776024,1366025499,5689719693,700601968,1237155996,7398991088,4067780724,327434445,3131920300,4227454056,3329264928,142204870,2904327976,767439111,2586143436,1030657968,826223412,586525891,1107459378,1298147736,944846273,336803360,1599595164,1452246294,97084530,1299893602,1158387537,2142813174,3455478312,621754166,718918880,2638201401,4423296400,6893985812,4237150841,3430068834,811571841,4008764022,1435553224,2935942675,4752719560,1536298824,269885986,3848630464,966065136,1238670442,548819060,1218725670,6882318104,4179949192,478607936,5772751642,2437079481,5607767970,2471195712,2518610349,197038964,8085959289,149228704,1164456275,1588302027,6947265514,1180727066,3718215720,8327076183,349249456,7032680964,1563216060,771738496,5817235319,2217173920,5534113284,1422149885,2275595518,1276732629,1355603202,644717560,448131012,8520249141,756411785,3751961969,2700189738,683018623,1456729976,605526513,2472196041,3232453832,6765344496,7416290928,154292224,2322735084,4868099520,2143981542,5267420487,2785213947,801984558,314539950,2272096989,556375398,1601363624,1118782776,904175228,2716068584,1937768079,5645164662,2528545736,7202138896,813975180,4989749485,949840216,2220766540,2171038002,1850194352,1180564007,4635367560,2633332667,1309647672,5241599442,738877019,2087890839,2588521608,375672608,3330775800,33841449,1843927110,4135811032,249748958,6638926140,4705420398,3935045232,826864656,247001873,2192798019,2313392036,753312118,1946068542,117263887,454260920,6509610480,107052188,1894101471,661480495,1253708672,4023574362,1013931072,1676471397,568811868,962848744,1548970497,737441147,873809845,2682338672,1623219198,1348732792,6459257200,1123912258,1914335222,2748819225,876754250,720775026,768761046,5439583521,1088912631,609075200,111577590,814873272,1847755917,4571093928,43372042,2000439048,1544704952,4217900655,6325893832,7072116462,620755828,1516807164,4860340584,1305234740,531105061,727040943,3166358244,3137471576,4057568412,1266902700,989256268,957687957,3788550909,2357865811,2968303373,1177859316,1868304408,4357344400,677689463,2912872116,3744790280,154603042,3345287472,235177699,727611252,179882528,15230499,751787343,20751543,7205865456,4097917340,639979452,5731456110,1196238813,2482133754,1300594268,2377935872,2968660932,1771735276,3108923285,640168856,1288075368,3197716820,487806395,4851726465,3778054675,3529785266,280294851,369652874,1192258174,894180802,1424215088,1787282696,4300126425,665419980,210770720,1113092412,511250122,3605203655,6513529200,1690439536,1996375164,2456519538,443261805,2065619308,2797782435,932517420,5188947127,445064186,5906710712,13223105,127352204,4623959790,530270942,5572043561,1304743554,259452084,2897736112,5306558166,1423909326,681764218,5322872421,6542279793,1964298932,2809039860,5223650427,1673706358,3088448304,3534752921,84996045,5617067265,1063760229,2450346856,635580360,6961043392,5035709266,677217096,3217446065,4828499160,2363366968,2961828233,4347028406,1583905124,120646698,2217054108,2771621465,5376769920,5190998598,7170301144,7349259600,2175247437,333238318,7189301976,271818140,948151930,186378679,335724193,647365583,3227990435,464419944,489945393,934984608,270190808,150299674,3763096686,681528909,881822392,2116217580,380757425,498033198,1230805950,4158905360,8449059438,1964355295,672143228,677410864,2458557750,4852555640,2280426390,1863127938,7185107241,3098611728,5380054757,123709540,1933586370,89234930,1345868876,187214664,685642456,2674157353,1426821453,924236376,2710727304,975477376,616889632,513413800,781447201,1357679424,5724346488,2894017556,397681293,4608001265,1795284980,4600077102,5969453232,672979640,1184087452,1058023276,128917761,728868054,3621187044,5753951938,1619291325,1417652685,455580996,6698189728,1846928488,3795870144,4873443160,363006860,2400712818,605614780,1830764900,5519712324,341463170,912733488,745963696,3087902456,4233190610,1043998596,1473938760,1085251966,554967637,2443816384,3786243712,4323098794,2029053616,2594818968,1575168768,448827419,777004910,1907863710,3329990195,360729565,5579305016,1411618026,5773923792,1380672993,8219730096,1530491796,1894356984,557511964,2517345740,7108722448,56891256,795980108,148406635,943846889,27376809,8780299416,969000182,3325457322,7846045929,1468470430,637457308,87554613,4138645302,976758896,1145255272,4988232312,2269613445,3604611150,449730770,1072883274,5139398493,3318248206,319287502,181296351,5715034544,2930593947,5564184563,3471943390,161372027,713594880,7867079768,3983596775,3625641608,100955578,56170866,9300096,4645520304,2395797549,6496641165,3344446400,1274403794,521226500,1351687388,2371963896,197813951,3873141078,4589420532,1645861872,358515640,3827258892,741679855,1042850187,464903610,5535504738,2072881321,1022434834,440399624,862329366,384417784,2645483904,929949134,172035189,1671421509,76223454,428197826,1185250064,1028687608,2235531876,5284137124,4354053116,470329802,871253320,672258607,807442505,1705177,493318595,3188641565,5497254938,2621730738,212563542,2108027000,2651449655,4886264030,5297359686,2948697642,749274596,2207796276,151484205,5578852741,2772723378,313368629,1037497512,644939144,5886360792,678795615,4267515645,3246124696,5201963610,775212120,3033426158,651854946,2110155572,523310960,2052598413,691689066,2534369964,3134478776,1488891628,3045408906,4783347120,1488614500,393261785,2585755185,145787172,4572024696,665111456,60332235,572015278,3770198664,4583990400,131315645,504839728,561054899,285822545,4614656039,5064328854,3560528111,736208514,279956004,40830981,1552026170,528824894,3015451995,3288113332,3420586575,565568586,614933964,567829064,2179520652,6126686384,265880447,4410532224,1892975628,471376837,1061184102,4652663905,2732156736,74606721,4479005083,379345040,3965509740,3693473440,48192096,700684943,1535447379,5469506832,2628703482,4537977804,343741939,358393864,418965998,4896555750,2665997580,4550886954,1911270591,7352477824,4118400510,3295203867,2210151956,857429826,5853898188,2274373505,6907118806,2270204360,342011457,1216023775,5743718946,2809912032,3093972024,882797472,717611680,219416098,4859671096,2417009400,2687356152,7984715976,875741097,449127295,5395407792,6053647376,9156771,3271607736,1481129656,2842987950,2325094830,956743362,4929120088,7088150934,3525081468,1424753028,2877482841,1148534354,83867438,215723877,1351494552,139729776,3697962162,656206174,7523552560,2053247560,3521615544,5019037551,688469450,3694002485,147109077,4346092595,1217074383,1084780588,3457856652,1462300555,1681870384,2983155090,888213414,2080936170,2106864225,8784761805,2803732536,2578155273,2675617208,637204920,3277128752,10556666,6092630244,374936604,758492085,194249979,24272637,5624515856,7522112484,1406735920,297492400,563919362,1738615500,2117039946,4063699185,4698464,2946666344,487526571,2063744352,2974126602,639886674,4915278160,1817163802,3631183830,46840774,10824444,1643328336,806807502,2058808824,472117989,475718274,3467170650,3531797480,5067737164,1840427901,3575373560,351708511,7040889328,401720685,348589100,137764422,1502694130,3887879233,5712272376,4222239364,7063781840,1315554796,5628071080,2034145596,1569622806,613803290,2943524688,5807938878,2678362146,573779445,4545885160,4054310035,3664213854,876020104,1851372488,1128978599,1921389600,2601302216,353773925,907227711,946224748,2403877428,1597908888,8416524915,774170096,1122996132,277756230,1226121752,491616115,1979104820,901549935,2859700205,1438704190,2145784024,1450094790,2989907252,6756869079,2634485127,2284799727,456927258,1592590612,257170422,2726726280,2766995322,5478813222,2173068104,700747950,3834042288,1866318741,1313011920,3535115620,627357482,744434676,449805246,3850962813,1958393636,479967222,1346105815,2074585,5351958738,1493884674,1346697835,39080176,2235762921,3654591040,1159898964,2608504383,1224725745,494748930,385867452,339741556,2248631672,2254270445,3806389728,7195988120,2641199283,1537219660,554647041,1687105390,3184943052,147490006,1654402575,577545374,1359608688,560612178,46724921,2528497620,3315055866,1009288335,5833464408,1440747210,4155235668,731755566,1687852768,2539514343,703012678,693278314,2747353406,3361975428,1468432987,5412057390,1033424105,529106906,3401124145,4920468800,2408208068,3056053581,3763593104,1064714061,1428072448,5963448954,1946304954,8327715912,4820467860,3329839092,384065467,3969125622,885745687,3109716845,271685631,425980236,110635750,943251745,1478941713,833383321,1934241706,3019737320,4817592003,1732478032,5135648088,620251692,232714629,1074312204,1444646570,5218902090,6340309129,4170185408,902030537,4992990744,1291534196,5064099688,5534120578,494862827,1801823212,497670689,656844168,1539807582,4927930336,4954651422,606342304,1889229,1120492650,458501668,135745435,1207530882,1267943502,1939761944,2145557382,5308423236,242365510,1639246941,361346511,2551955610,2146134888,5863764339,173685628,1842564910,2646477484,192905867,813210970,1090364421,704287444,3165290328,1876992914,1956496764,497869680,181323488,5623216504,3478368943,8629355871,830074945,1339347530,2510021916,2501319795,1109035600,642980850,2798887880,3875917969,1377741240,1033587924,1821764046,3519687640,445444239,1313937579,421075516,2504693975,286159880,4231966800,6845862624,5176066588,6799695390,1874088568,3267225155,816927262,2059870208,4820746905,2951646616,361194258,2191200298,732959607,5582723888,4768415260,3465580284,183789248,1578937168,513364439,630543588,7182501255,272748812,4897460596,4419102474,3439036404,5326207280,2055454278,3985916925,1465314501,6079888288,37832796,7827773728,1248107991,1399265295,413261193,7742566792,280166709,3028756998,1567024818,5183659773,5592840988,3183191270,2321996934,742087830,636224264,5825268001,529847290,5173238346,1328202804,3099189522,954127168,3177847170,323649381,676219231,1098189482,6387972892,1053837230,4554681456,6994466899,1151665638,3217422705,6365648947,2304060336,4724436776,2637067290,4148631498,6908638555,1077027930,564646245,2130935995,3444969348,365527732,30352975,3607395400,2495191988,4930863522,1838837630,2765243862,1140562917,3325165280,414221858,2132775045,4263354767,483416759,6414719444,1545110649,4370483592,2924368585,2530443042,917635315,1378612096,1974571330,125209035,240511036,32301620,1097841554,5283096875,6417342211,4737549000,5976094104,1275892385,4945301154,3561708390,313363977,5564515264,2619065728,1981519347,2637114384,3787960841,498275318,4944664112,818584032,1508390106,2054237757,392468762,424460372,6817388893,109975506,24393540,534316934,3090824340,34501809,219743170,3451863192,1019235266,59029840,6876538571,1050105597,783691084,1343429424,1656628535,6423233929,897065585,549590240,1653696495,272977201,1243837410,2947512867,1269822808,4833641115,6226004547,356620704,6830497888,320990013,1079136288,2525266597,2917213495,4147799196,974823723,2582395644,4096486287,3155991512,688816192,287691869,1505654972,1914033696,464772578,33014592,7595919234,68449284,978431176,4054707965,3589491600,2658771495,1133927763,3390405942,3432823872,3825796380,2792785263,2933146992,6745190310,2965721577,1717730643,804563766,8400600450,1103965476,1578640902,89699108,2581418296,824542804,2920968905,3717109774,521994508,4104352506,3009501362,1206910152,1378532980,122573991,5617763970,884626125,1387161414,71169799,5345313584,1240436978,2150751906,2808999057,2582762790,101898251,633544008,1721889489,86329506,1838437772,281043855,755145375,2809033281,644260410,2151380892,230906241,7535139615,68124756,2362513410,6765324534,3706875915,1432932056,1242525852,2407147092,4358964447,6534258444,2059805877,1932432561,310921100,1307385472,545682018,212852052,3193949436,4581074344,3879948618,433511410,193033809,48865080,4201387485,5788995688,3067556688,1532103464,4501158560,452244298,1220731214,5732269380,1909421930,2222919910,7662093660,1490753007,4862727744,4158019580,263349612,123724656,111179192,182415838,6060280712,446473760,2138223264,239971440,5598916770,1664436662,101893068,4955999480,619904453,8260772112,249588250,741948096,3566218968,3935020201,458094322,3970802535,244326852,202596342,186825690,392851690,4393105925,3965293032,4313749168,984468156,2590436970,427108716,937380870,2779384360,247749233,4782193024,6594294195,3872515470,4402754398,5950393981,3595800798,6497128358,235649012,2414388753,160642512,3515853912,1533826996,4858756440,5284461420,631440200,1276753597,2908971684,1439830091,6345249096,288701082,8421785613,3875567928,4779437553,1921185896,569350125,226969638,2852357360,7292854760,1387228676,147311428,921276957,1021998556,182745653,6221293952,4072839220,5331630267,3058180105,3140251725,4022216506,946906928,655190264,315687884,6086198448,3952600504,6054750160,985953796,990916812,2753988993,149540009,705863064,1018773336,45154696,3496767,3160625180,3704908668,2897097681,281059580,4108343043,500417103,7281891976,1871802786,8867677050,2509729054,1515251828,710408055,4474668002,2599456734,820859747,489569590,3955172840,2957754085,2169589632,2566992501,1295531352,3382992744,4416134608,695425749,114713125,1530533715,3359159136,6099854166,3978988265,3625119868,5795514536,1594997836,2527106406,6816842568,3227299288,119265783,4463432764,716352355,5966299052,40883020,3358666827,203923852,858751248,1654199124,2988736914,3186164144,1402017966,518292280,269411499,841448901,91746534,2980368734,2991908871,6229459411,2603081568,434861109,3607081080,2939965821,4317076960,3253003840,137039624,3210766024,632984136,266756320,399456442,5915462130,5204914722,200903745,6205973056,1022005896,2626504360,647888722,5749757646,590398800,130015477,3858291144,736027964,419114140,2351854368,1448311866,1361624730,3261137980,5420946942,5011740762,2611994076,3282721212,4305681265,1278902920,711023539,4036335200,4366677336,777923002,730984542,1719597664,2610781380,4588054075,721615935,1773797110,769152825,1053992700,6447284616,219070628,3918641892,924043803,3505392835,5334267519,2113572160,609022477,3146154576,3767681094,4735389968,893412885,823428798,3795545898,6551096346,291953840,1056641355,1309202708,392905928,1599608368,146995020,2371702119,3628450575,621452015,2065712754,4793343312,6295968042,195610926,1954467318,2820021920,1239666111,1974631836,729152825,878268114,568570004,3679701640,91642192,6528030229,3421816332,1711234938,1467569604,5253702669,1229801868,2146758300,4269732237,4830999870,4005586416,2984448339,3959497240,1729221440,2230414575,22707495,2533979262,1517815821,3722319832,3343395372,2863269723,2540267298,140739874,4305881358,4403389040,184561668,1539474840,2999270260,957048882,624867870,3676413485,3955983346,4577830165,750037956,7119422352,49554096,8240077755,755405766,600790992,817494585,171684156,1119453189,374458668,4625565945,989194251,8211798855,5100631312,989990119,6392179206,527823543,906767401,202715496,2960454260,2790832248,593071383,1709477590,991920900,18858476,492163407,1881591201,1049319892,883396958,2411636708,4040240643,1218479920,5216854040,1530837318,1103197950,3207560496,2622862455,7842090195,3846051405,940610372,2369421745,2442757300,3213661208,368872970,1590789642,2207544716,5711092206,104715569,3743542405,500169971,2421566903,1910205138,2512062912,1298307404,6042299004,674578406,6163247133,1939537512,466370649,1584480201,843779382,4655134332,628731924,854622317,4304593782,4440616411,265345404,897100892,8465550381,4862257309,2860702830,4293330095,8978407209,520063878,814955112,3759481134,4198428588,767408978,5730250085,6544418913,6148920568,315137768,3080150916,341526500,133858998,653465494,1041241646,2246804784,1617721896,7678892106,1067768295,5260856472,3436000197,1248143166,1362464187,5696914636,4251654762,2344148500,373070110,2361437448,2912846895,3189012588,2104570458,1262577570,6077294160,3362158660,1955157978,761412387,2641475883,2046283656,1503185816,2555771121,287299227,3032987836,1438204292,6018644128,621515790,6083464584,2508940660,252784805,465903945,1260882916,6974029548,1524720528,3673253200,1526343780,1493939982,549818717,267809409,2128075248,701775555,583521417,2335484570,4662711172,3213836392,2350591050,1992598170,3082712700,535863865,3706847440,5369387112,120086070,3409287428,4056759710,682101096,2049114368,56986304,1182269184,908989586,659269924,1306027560,486464265,2856955527,1947656552,1629969579,3548640080,1678588878,1649949042,477038620,1126293692,382827522,5557083896,67334541,141866540,486497400,6667018386,2001595835,667444600,2505647800,4708115741,922862343,182503144,6675376230,5943470872,809706784,445076540,1311393447,968939204,4428762120,1376183876,5631385689,166950738,1522881215,2502999425,5349712473,3729481160,2728277332,1171867846,2036379564,1489650148,1840467279,426362567,4678513725,4335825155,2596781850,873054964,1145399274,1161687448,2510607004,801368857,1418207176,1821043620,1398499516,701845174,2661581945,2539842040,2585820510,3892842456,1736151774,1252504125,6028205706,5381244176,112487532,3011555180,819221732,2781332595,5579971208,800760996,3850119186,514087040,2081680580,447270430,1043232792,8628405543,776885056,861514448,5733542536,203080444,5034091452,498641118,2296038696,2175432048,3206299972,1188490540,126880608,4037832078,395307360,3997560486,1723509081,2654052723,6284920712,232022224,1765525713,754844239,5426785032,5175812299,292855500,2796531399,2476138242,1094169662,6687965538,5609828832,2411157540,561197645,1177270652,606597560,671579562,280493632,2156985696,2076781484,4485340356,4018402129,2346827088,2795225016,2580502122,898878688,1452935241,2247404730,1858495820,966386352,905056333,3383475536,876091512,2608488160,526634775,4179400545,2234736820,649760263,446824343,306095507,3550680784,1820730096,2686711527,1789997643,6489821121,1102201364,2673506402,849317040,2695512475,2192740305,7465302648,146632000,3529818745,743837351,7647510465,4087792308,4871617810,3609196524,727310144,1431266730,4898501800,5325702172,247456945,2907152355,4675444956,967487112,2164468554,1073720430,2316916432,2667250524,5697528759,2738698865,2736342840,2249468934,870495520,606031588,1198121162,7535470936,1101809415,490749647,336799896,1419121232,892470493,1397458480,3786604456,4464158004,1658432691,3040134456,634999085,2978322234,128639454,1815429885,6220608590,955293437,8205639,3091572930,266054682,175526492,1885620176,5100160492,3012294859,7745820381,6335936621,6517211211,103110662,7555537818,340733964,4368925715,4881492935,1917653412,308706184,5470143161,107435304,294795486,1340691453,2095344296,2960331300,7069882554,1960528384,1415443140,4713870,858860286,4391031843,137500145,2596726806,3092693312,5532006744,3280357170,2457313254,2074615440,1448201778,1624277331,6910605541,6107644620,1177114260,844084920,2039466849,1122543672,1140957093,5950673312,1652015448,1959976860,965477105,3685561224,3051846816,981626316,151749608,6493474001,5153472877,2755079485,287920184,3594562510,6523762777,2210625282,5880620052,4027086520,1248484850,2396527581,1382672130,2980699620,811339928,442080300,2957042841,747764262,4127883944,4767804009,4387400100,4054332468,8012185767,3793303580,315160254,1702163301,4608702630,1700966532,79484309,143358712,4692042369,6946778447,3562623027,2691526332,1755637794,3961878084,5605634646,3275074060,891097205,24177763,1526717697,6069613736,1587645304,5551228123,1022590808,2659695615,1679602017,5359556307,432273286,6021813840,2446231038,3673261040,3210014628,3869114031,1277023972,8600323752,3295778432,348258653,1645110012,2665666272,959963582,105353760,4023353943,3263366735,775782736,623878137,2132569686,2973573183,577942933,6842858824,1008192420,5210498457,2358512538,5425866942,2361206864,1201332148,3716133168,2391018616,2243585496,1051143100,2716027842,383308250,1694959872,1649240848,3719038563,1682900152,2834918848,8204871960,588763974,121045761,2330062080,1490209798,2131722768,2534213785,2605869976,1295452932,2449273770,4378252750,3659435608,322062699,4286441495,2760895170,102379296,481139271,2630525148,917891939,220780440,7170165675,5968566786,1516068052,3117790350,669996008,4339029928,2186028395,2065314096,3682569268,50177494,5181155703,225744470,92962987,598427536,1121992932,415711205,6172217464,5302535517,3582654166,3138104658,1067991675,3340789641,198455040,366773246,1384081517,1346377162,5155269008,1513073736,957097404,1573778818,1900363094,4187957862,190606581,794199495,678103176,6069261674,547946078,3258121398,1306922426,4498811190,738134583,1592885052,726830086,3885539928,1551157832,1181346348,4235464,6232600766,931446944,4621207304,1437674751,3806361846,4676444215,4197762819,5729246502,2057976156,188725990,1812132798,2421898048,1904312146,454231696,1249597741,6333514056,181432227,2310312545,1246419160,2395902348,2518954326,4672722252,2239455474,1109238308,1589856520,283187178,4909789549,930636312,1182776208,7066325352,3891110128,1369384554,1113266136,2928942584,752965554,31292664,739961675,1610030870,1730399531,4941144552,3803549742,27928887,6237607187,59908260,928003968,6155036312,2794965039,820244510,6071517117,3385596272,6535579640,990800432,1255507118,6619866579,7597239417,699540144,3631285560,1553982984,6656459243,53001757,5791274552,2537729925,3355774152,1637719245,7175601009,3297854262,7976231288,563279492,2610143154,1893565564,3113272744,5400272166,5209602496,2797983500,1754393480,629344766,370493341,3761922168,1687453196,433508956,3996056504,326653674,5546319120,1162861976,3472798653,5946263673,5020034256,287709274,2577568170,7015104632,1920930261,7498563273,35348258,2964794844,2720195139,4901241848,1296064064,202836444,867561993,2469556,700310464,427192026,4499695970,112318290,264119728,4122133524,110459637,3897571139,7467735384,366592599,3094600728,6284654896,1453859082,1577802076,6743614203,21862562,1715610760,6909181615,2389762264,2360214684,2835219849,6693241059,1342820970,955620072,5196874086,2739284980,5360872728,1975710716,8101075086,3807567892,313838688,775923333,737017182,6368869701,4004284788,6830766362,1462738220,753934136,2984068843,778323264,327602452,377726510,1272110598,1500313902,781912884,1602618030,1380768180,498132464,226630121,539255162,3237230184,1613198960,4158481050,4809209706,2099395070,2786711976,759498615,1634375810,2022174636,1167623811,616234210,3497275464,1452035814,1300061550,997408476,5146830783,3410332120,382148393,3600365216,5437455600,229672390,2503127825,6826509040,921543950,2573652904,2903157500,1127789644,5145816618,2705798480,1359060534,4742443476,941995881,7986400983,8023031172,236703432,2596632780,3062266191,2581889334,4542009409,2562600040,1566148788,7482328929,289370856,1192005966,2489634,454679384,62871328,5069070696,481181688,2416730109,519106867,4762327906,2361454856,3263604696,1482965228,791731512,89946013,2107315920,6394291785,4027824795,5193994302,1083531954,1202419334,807353208,700764830,2574862191,1663465322,786669760,2501350915,676649590,3798700810,77980721,424770306,2039937675,5119400072,2130966295,2152897698,4115302400,1393135644,1475073876,43769044,3389841380,1434041256,916423744,241796214,1201768362,251281716,7578763472,4138533324,1439631216,3545304686,5728516892,1207557184,1547304508,3274641760,5256485955,260840676,74079086,4380494556,7037782760,4990240945,1686987472,320842115,990149080,4673327538,435124410,1534914984,1911596742,1075680216,2161692024,5125975442,797114320,3816450132,3843652280,6039292221,5213018992,53333898,1659949866,1544685606,1654469048,1036850157,250678634,2525149032,244079628,1993981668,433427404,866485790,7877756,688735122,2298510280,956342298,995995147,2094665380,2969024895,944942004,1076477584,5922013272,1731277527,4361058261,6719397237,2281483242,4346777808,6217909952,3147857797,807600273,449995992,6802529320,1686746856,2127883852,4812409341,1023103284,1124668008,2453281695,3637111255,5149206531,4164369870,280818443,2925672745,2447733555,14089068,636785470,324001056,6929450793,8687820375,4113279920,3891535568,3166687885,1072382304,2627547276,1118603574,1272284073,3824982693,40937192,609709965,1750303084,1893618960,1385777344,1449526728,2840384924,1705040280,2189583540,4738045460,352473175,4251216606,6333499,298744851,1211853790,1165171820,1627854009,4424551418,7874460088,1409427820,3339421200,619776645,3072501864,108382486,376528176,6315346114,1459125462,4074569360,6060087928,1291288047,1188504920,158947663,899738208,2614014336,3218533015,292113880,1747243508,581691292,543603198,4748216412,3327358644,8573527971,5678189680,3913211001,2655524431,5008095141,289535098,455376729,3432482415,899008480,7411438840,1950238578,4521638688,2487415086,369157567,3475209420,2381086053,2913688344,1638830480,1956625760,955643853,3028881730,4233762846,3947913669,934312772,1904656016,4569899745,5088362840,2824064248,8750391075,2478441224,5397266610,90057267,4422496312,136274220,1331900072,188179542,1431167361,6984110488,1916567895,4489682757,137587145,2955884215,2486059749,2174981130,2537566075,5817190424,559239160,1319816622,920078853,3502949240,2848777608,942013996,2474566872,2126268364,717056592,183892248,209642398,2622603904,240734176,95132750,487174314,4256192178,363780162,743144665,1541354895,53288548,69212537,928654419,1906253934,6586004768,3462334655,95988068,219942486,668360961,573433109,5363703380,3559881563,13087101,5998996341,724099580,1998465852,5214750163,5837942355,2085129592,2243342142,2489700595,1789408470,1071482163,1056055341,441155505,946582062,4311265970,2715315240,3733427946,422428525,974440040,2524270746,6032704304,1435590980,2515728906,3958040320,2005518028,7308970965,1631520036,1270818411,4887559415,892193752,3882874460,3470712720,1131584076,6009176320,2544472644,4874156496,1562605854,3320234400,7104321630,1954531833,7504361973,51924140,140220393,1692349722,898151156,632418386,1925120052,2685758604,1372761404,1675425622,321277830,3138350800,3652317144,3080252960,6389907138,2115176220,3316321225,297340842,3351086290,5517095220,864119498,517736016,3439301212,139278414,432303100,879257886,1746213648,16729143,5964281766,2491809138,1077290676,4792372488,4258570675,7302054496,990535851,6734195736,5078339632,5700473720,2834898535,220724294,8705338101,1723764960,2480939848,7868696280,934082878,2635229842,7025189400,2686160680,1068177297,4516783645,2875416152,1576775836,3958992936,4074935112,189346698,3015890640,3189124960,6065862138,4468155921,5534494280,4991716314,255010301,1573162490,532390154,2200467642,56342370,6393013640,5371972866,1146496644,42505132,7084860864,4225307915,369777032,94666059,3345973705,5391689940,2265867425,3898444122,1408549376,398211184,748273648,2189245050,671670700,2066864853,1648520970,3135949304,788986062,787069144,960830560,260249382,410618120,1149617675,6036316048,8404698249,4321977090,368805256,170133902,2153110524,746678527,2012884345,602287923,246922090,1950394244,5909500268,909479935,2122785630,2716355695,894103334,1260204820,1625721810,1690890444,3996539008,331675572,5028269330,432166417,7115892264,2983732332,2389404160,364975227,1261008368,1314422289,1774999298,460629406,1231149032,4136662712,1222535856,9913462,3196499630,989945683,5614569401,1108011532,1681533965,571245512,182825912,722312108,1950710084,3720939867,3216481385,2287491675,2000629364,4606407132,4984456090,1950373176,2125154526,1307640288,228771012,1422622986,3954390280,1444559872,673013607,1305704906,940594866,2340513390,842199256,5272454392,2743225842,1008183030,122255334,1584649728,2793026089,387181420,2107796440,934950204,1023555210,462031170,4194260935,1519834770,3937263855,1082133504,3564253765,744378228,1702702881,544655454,5286726684,882780726,1147898547,1747467772,6549675723,1406291265,1386718982,8006455467,734592633,972709322,4163506960,902523085,2099926485,171085185,1603200736,80336504,1888358492,295280615,285652590,1227854280,8351802324,2679748716,962634730,240086763,3556164297,698344220,410056002,1580610264,6064496672,535921887,2693036637,694258652,596508288,2945196327,1821190154,388915035,510801740,226224874,6121946642,1314559375,3118880270,1621405440,538731088,1631661792,4649202943,735539185,193641690,3390996476,421946232,5010131889,1324742888,372172580,3082748992,354698506,3192278184,1541353850,1088276988,1761219104,1788799590,1312430830,1152611582,829611880,6891153056,471215272,183518736,1126518336,2075765538,4871799186,7182647376,2997166983,1413366732,1107374337,1800355576,5092075260,2429124072,2553410185,5554762220,1693952386,407703934,2274292995,66299566,2583073144,2012729922,2384945936,494008411,2180891850,508646062,1052484960,6022029377,1669331448,2421780240,4219918280,6879980466,138692358,4050206468,1933972070,247103168,2663734968,2879698206,2510227,1576667062,7764933,280738348,6206391360,6284324396,1172566485,2141260791,434655832,96753100,7829132382,704767939,6238277353,6573734846,1073415346,3698289700,4510825851,53669532,847786890,5657622075,157372089,7572336363,4309753740,3025245252,2543672992,1827101384,3964895225,395242889,6735232384,407342960,107074604,846505423,4886691390,1935082118,875512580,6373819056,2464841036,6323544261,387231631,1256766770,1766202972,929369794,5776921818,761235037,289523555,35296704,8215402518,3826217436,391306396,2692850770,191182056,1870597078,2694789180,2400441220,561348648,1631114308,535870848,2647794738,4424809368,687988552,2638199574,3694349355,1878347184,3694802139,6635200838,1698731235,6411184296,741510675,1078766912,2527202010,935379564,998561780,367536554,47184452,4372237170,1613432016,1798823936,4173374585,2241467730,2124178236,705927528,2692059156,171164254,4040958655,360252693,2237944665,4217469490,73146555,2430344567,2674703085,2090466336,3818102256,1032408432,110559930,4460469573,169914852,622133288,2315204769,798429695,968045978,1115628450,5533704342,3124398916,7337448888,2101437468,1263756800,1596338912,526429401,160324482,4178888980,7415650224,174957336,53921256,1499529282,2260971687,19785380,417692376,432643728,3441065412,1974810934,355458733,319603543,6737521113,6066145200,1264123710,1614574998,5806727872,3742928648,2339918625,1267666738,4613305560,100184385,4224879197,421728884,4538170728,2191001157,4120474048,44083998,1057720830,3652391922,1503853078,1408086186,3050360730,434485912,4154510330,6110799303,4403267652,139468482,5940645536,4420691748,4276323885,1949580760,3303273092,2362669698,1188544596,3307810932,2867224020,531368716,1157687556,5762011584,5844312981,723637590,908658541,512781863,2461091760,1612427144,7891206752,904025000,3897452264,2297191945,6368608824,143160774,527046810,706265264,188367914,339180592,3921143920,7237101408,2098453278,6327764271,223015710,2451683755,8556551514,5239563000,4057201888,40807632,2694094860,524398809,4687108615,430958429,652046190,2819218984,2012608350,2630079460,2160767055,1182992828,396787993,6012945596,1775707072,4731910875,2793666165,5057533278,509005850,6091073888,5067333733,1157905932,5809000572,1970579040,5535236328,2108207739,3394632288,611640494,943681628,593763262,569593576,998943386,563980383,5261387232,4832405037,5934386118,2686637829,2494397745,3930337045,166662322,197014496,4272609870,5400756520,806863027,2151455673,3834407688,333435436,147477914,1862956552,1498251846,1606526555,5520873932,1124741730,7580391192,25716790,1965361860,4669656815,882064068,536210334,1690691265,2253411538,56142591,1728324996,3169075192,2490832197,722131614,91365895,586778505,3755598080,4339676016,1411953765,324288450,6427149673,862340611,834405814,708087993,760212807,212991241,3905357859,425236074,6695104136,3123125240,829432083,1289409783,2218043052,4909482752,5506487756,274319728,7415344544,91447878,5543318376,4218499225,2642471514,1731733108,603484449,227270454,1897600160,3579657669,341329028,2842094792,120820136,1780287912,3521594048,2622870456,699269958,90521139,4315470930,857935224,157362786,424995636,503445976,2664130636,2762360955,1938160742,194939934,3470993590,3687387804,5934468258,1923500396,6723064360,3399694144,573549094,2026005149,7035130976,2012120538,8555473080,3043592295,5882647512,2954219807,1395206532,2508562962,3652278,185904648,1021042832,980157918,1012400034,6890115240,1429635802,1488851502,1072188843,908206604,4792101475,1229536498,7149351360,2262653160,200579808,4175978112,3374672418,1978892703,571026344,975421635,1968185668,6057015576,8152372989,3476616480,2479016991,463130058,827386377,1096349456,2541667340,4932762820,943387860,481944136,7993304505,4848954488,251133563,573342244,3484572156,6900507873,4797267832,932757441,5184729300,1240200819,4564714400,5808490422,4049695017,97529550,449867555,8389408338,338684115,1559322912,306867897,872343312,215884740,831109616,208105346,78307116,1378674756,3141567908,2836829175,4257372833,3360403908,598768125,212340565,3471264016,2782123804,1399835430,2668646096,3406423960,7653958152,1874301741,2981671615,3364557256,294718368,727027127,1631403726,3049771908,2664556860,1234078880,168467452,1758895670,4193241185,1386018780,1023269364,1210281282,422987931,4285135782,1227729372,2810480830,4054290260,741000078,4018855792,8739581814,5435923780,1936140228,417446913,1399247034,7732621116,1762323867,2150720385,3473730596,714360330,1761870614,234687025,261207672,4444335176,1577202278,313556916,2539346436,4701907160,4793163660,2423695170,80161415,1510390683,4288812495,277019850,3457059057,1472067824,3338383024,3894519996,474359816,6945433664,2608979592,3312120785,1405844890,962499496,1238415927,2128424259,431708329,1174837108,2333055861,4019210025,1656439596,1385868708,6709441515,1628571185,574152067,2864606148,8117175123,2544210576,5321226032,1349550666,3897121746,756319434,2064113810,534280087,226336014,3578574316,1809976024,1529330516,6273372384,364571995,4968394134,2567285372,486298835,583432236,3045021381,4290195051,1072317735,1708861146,1130848011,1921991332,7352069456,3810938096,522560473,1587338532,1210296150,703890827,451533633,4296011675,740724492,1697545052,1794344580,2229359106,3558279844,284466779,3758846568,5915129034,1947178636,790327147,2013158000,188429494,5657124762,1343083610,4095887988,1162930041,3067566915,411431492,43570599,8821216008,3592343388,89155377,944258188,470031413,983955956,3944323782,3819315606,5703067083,940353420,2818189073,1422257358,2785793718,447682936,543718616,476955458,6256609803,196099946,6626884120,92897903,5691646980,2731793472,3130880544,6895481453,803057860,6199075729,986546106,2485853180,1065304544,1332827244,2724355208,4080073725,744134404,1685345250,3048944945,8632134576,881256504,1617953072,2959672596,2864275628,1963894170,267159108,2053503420,985921176,886720812,870839352,6470895879,3477173464,4226631108,2232368490,6978620341,840123930,780578346,1615994506,129477150,1029502840,1856076480,917480768,6785356392,6005615520,230549787,668412278,4319307769,1613323372,585351520,2202196328,750033841,1714985675,5014504242,227320854,5290220472,2104067400,1422885296,2830748612,6153892423,2443291095,189549078,257671476,2361383523,3799903320,752789560,313589010,359621001,3253617090,5711312808,3953895175,195207822,8313749064,4743171993,4503196696,2255577543,1479027018,237013992,5985736392,5548091997,302467902,6716497690,983465220,316428922,8598571326,3332061376,3180886608,2687938173,3713377728,932409491,1992187036,142129816,2658367960,6889708574,19203104,1410548828,1570725196,2089819656,5074895496,510122160,5979758700,2250611744,2363102400,34762978,184693044,872896800,1440553142,4406374280,723529353,3477206004,198691364,877019823,1007422005,1607220408,4352806440,1604088996,818404698,6871764645,563550610,2775993294,20995956,5329711380,307612041,1569157806,1883667580,86412117,2216876394,2240011368,1907962566,2539206726,3933630012,2072552688,961561308,262048145,1183670208,1766246382,2760590916,3137193472,1044784608,202234363,1344968168,1873480352,1335527214,151806435,6176231946,117162385,6346799704,1729328108,3264533684,6828363256,333235462,850978470,5700109576,3988712016,2800884387,87027950,821785887,911878770,5635186290,421843574,5976865312,1911202208,2464821957,463363249,3509039821,127829460,271997712,1789987944,3162607012,981015604,1823750012,193325048,3174885960,4814372425,3731939920,3212814760,4178417384,8234803467,809535720,6905711384,8995350204,6195982752,7726998064,6466369602,3628410756,3523599808,1465833412,322443320,122697464,298063458,892022110,217158892,694638182,4418134803,712774496,960915672,1762374690,987408423,220427457,223598236,1072317240,844985274,1862564302,2464389712,1291759112,8069156640,452261928,4038322780,5624684154,47410887,871334865,6960153519,756953846,2903693373,75590785,957917595,1506998034,6599251448,1744304314,907040924,3227392700,4637017704,1462560753,388096308,3691776174,1990114896,3310749392,5113603712,4627003410,2977555491,3969595632,1458233028,6182343888,3604572088,4806412090,2252217822,4584684834,3658460496,7497794096,1797454509,5014222353,2437651314,2164141734,1916047160,1487937250,1952697920,2369376777,2063628999,3982915902,181249320,3073183928,6036857253,5814626976,468477102,3032664852,3414947697,1539631928,1615897458,1279812264,4551888498,5351840874,7145711472,2179337040,1810160982,701915673,662298368,4713726018,279316944,2482477374,1778356132,1406756550,7444218192,259904026,949733236,3905511580,1751669649,910360856,740883354,1886822946,53613756,2274630700,2864844865,5951329659,297350622,1766583442,3262003784,1792395438,2637077685,7424043309,3467312569,1683491640,590495574,1728463208,126698788,26119124,982181938,6851501280,64609830,381008628,1747875654,818365328,81466404,4452463584,4344288894,4308147475,62689007,28918816,78842832,393908058,6265842457,5517898896,814156899,880885985,1873464444,938392310,1868241755,1390328400,3838886168,541941590,2693433488,1204344306,3687012416,1992669962,645036624,3968788908,5872127598,4663492232,2636955333,3215799696,663197684,1831559292,1302856312,2947578420,103586838,33154270,956832471,2840310944,4867202400,777695192,6924757182,3783350210,792092570,345309380,637579658,5434658894,1593458730,2246616828,7568670762,2063364381,1743132775,2028809982,4997042192,6203405360,1650296631,141017310,4771891782,2470950090,4685398576,767391172,4995483060,1104892326,3780921414,5752651482,768529656,4661271391,1999744785,616518464,6788721982,4329404460,3965659836,2484449365,3202297268,6654724896,3095511696,3924706600,4634457360,958777260,5151375112,3307794208,451188366,1091935404,2791027568,1587236734,3638387776,536240643,6645544192,1190520268,822775176,5626593990,2257624540,878154370,4564584636,3136436874,1207779864,2196729756,2449631200,1723573962,4567672200,1254323487,884579865,805815264,1552311108,2562954317,2011228353,1070709912,3084925500,1495584087,5440989750,2013605028,1261352925,5274751491,851533548,3161044948,413230560,1574788860,851870032,1532536620,231177375,3183420000,2487653014,1609208505,905219533,98488638,705234072,467973641,3740699571,1116754059,5346263400,1983024693,5600289646,4015058610,373148258,6148224922,1442532888,2028030444,7227661968,2081790864,7597838880,2089713460,1376260340,1002737190,5545655832,887545872,331829581,8555721741,7300170848,5661318775,593296542,3463087624,5729562192,3774464816,7658066096,1402866345,4869240064,3736340166,4342685004,1660785904,2436707166,942982062,1823036664,5714439048,1709974343,3801927552,698581389,223360971,3001471710,4660334216,3157845018,1232657314,2985512508,1672245624,6931613502,1214716732,6659193510,2561728200,3888552395,985460084,318366238,345937672,8743940397,247815753,6339858280,2039172115,2625454180,514938152,1910027421,1217976544,2313320706,780009294,3494549695,1715756163,1083591351,861124503,7394850342,954553764,2886818562,907331937,3112967102,254329576,2347754109,659611770,781038182,2057724640,2866459500,740947670,2890338462,38342427,1236158908,2281221089,225366327,579723282,7823687823,1659210234,6773786262,715018243,7295769824,2194105170,5304409008,5606476617,3753788712,581162925,243451848,5744414641,975695452,4546928932,5540859486,6402998394,790061426,1857157180,1452171936,1638924440,5844404288,4299748464,5852603412,4765360548,2200316083,93779732,2192357328,3659718870,4466446397,3509683352,1167715969,201425656,484713146,2717233820,2336390976,1323619434,276676929,461417046,816566668,905730438,2290303491,802663230,5491152080,4255615458,4161410670,380666335,359187590,1742081955,528345348,698523932,1887733764,3840680675,1988571552,966667677,3961644176,1347175732,1950196276,2519943660,306235598,3695513076,1829898556,1942514745,6476784279,8464494789,3700314780,4419055830,715939210,1489268492,7691669920,2781260082,615978276,1624786764,3876622955,2411641828,1671002766,4594372536,3598946995,1323666540,977296797,2748200350,399203754,6064161831,7944377712,1838387382,1033504392,2527974400,759984512,2729470080,1732926666,648315525,2097813456,1583186710,940708206,591937600,2025670284,2791178432,765580953,3820023216,2400384795,2680334730,1664095317,3194646716,928286388,4948185697,110962244,1232451866,4473498778,5887941774,4576136355,1527008415,2449038588,970805136,1068935298,121968606,6243523944,4386689346,535258296,1743390384,3652211922,345792322,1443833304,92873305,4803769176,644445510,7296735968,2701219305,587300903,6675401264,4699938444,1980609948,1640622105,1856018940,347086380,1153492845,758538880,2367160923,633102216,296417266,2453879232,463719040,1718722461,2809655124,2487583914,2287464102,1585799070,655571665,4023078760,5536667521,928665320,3725988424,22385322,225147492,895885965,5675519402,5058805616,1594417490,1593907632,1141212558,7494016698,3850719436,2666639630,6768034700,4599273232,7861202072,1985576668,1686976047,1373214404,2582835976,320913460,3844130412,53426017,1134754416,122131355,1869224626,5322680139,5929107810,189635409,559107054,2604408330,6395851953,3598461664,2755186089,6552861024,1190086244,228790055,3424751668,2646551132,1884985081,4008450600,5708836809,7587656808,6916219758,1215128929,16311972,1806862184,776807424,4247403813,2737079766,971662656,1874932800,1953055092,186212506,115587800,5001252420,2815643536,1675550992,1409355840,3344367425,901367642,174601183,543445434,1762214360,1799742824,725324726,4404259630,307487844,4692424090,2068527408,1945864940,2468905842,8212096593,94485700,6353392836,564527268,3750619464,576808600,39255865,372157338,756603767,3042301936,408831024,70553338,2936900700,1229495802,1450402104,1725089090,5806001131,3830462172,1427090610,1336074822,4037516944,2233545798,3490211940,5588103366,5727850288,613762000,353395380,1948272190,4545060624,6024256605,295433358,6077356096,4905669928,1840722260,6783841112,839384831,2018209608,3985472600,1211115138,8851107006,5243917914,486735367,284970792,940796829,2838551022,1988030810,3402545394,2259195450,630544136,3974755974,764853276,655476622,324878031,681209348,5003961382,326887840,1813880412,941255986,5365307043,968222112,4838794806,5192962608,3511804548,1957940736,673757928,2405318840,542765987,2969410577,784599184,3859080780,54450020,749085015,2172796122,1284807939,1832202084,240970852,718685006,4485420752,609620130,5956623882,1621490964,5920819064,3397202685,6406707153,3565982595,656005329,2157500832,7144967133,7931865384,5304197448,3739980005,3738659272,4445339745,1933531680,962659712,1004763739,5110005306,172399860,2833342032,4380994928,2879072968,929929530,1638611586,1264768110,4306101399,4979031696,1101003398,5225562882,1283354930,3882821467,1943077990,1253034672,4309361190,3918812780,6666343524,1201430865,774692586,853676832,549488964,5767160502,1718803774,3846782100,696652789,2869710148,2376885675,1149157044,281709918,2530277898,1985960280,4858265472,1843509885,442129990,1163637054,478766916,321678060,3231260628,1928191456,2216738868,3900747645,1701958242,204402592,7651335896,1396677692,5117882000,741419490,4637742540,219397080,1705239568,1955746377,84726456,134549372,2305638066,3301251513,3825709266,90131688,3114617898,2698414264,6698583408,325287865,1164057704,1098214257,2018890698,6160573530,3679922500,2701356096,1532088387,1424095090,864378049,2644402516,2734009182,1288546455,739350546,47998688,906332485,77168550,2528785326,1917969795,566466339,380187880,976698656,8099769654,4084672320,599854303,8917868871,356343288,1998624234,620725292,692094530,5738256000,241430819,3276892737,6152306601,2867190627,833808080,4783444056,5190743868,413757725,5695175941,2887518095,3310599445,5269860071,3075721928,692766764,2038503810,4812611391,3916559404,489452900,4177636100,1611085047,1619723035,1285861048,810278354,4151430450,3408255744,2215790844,635309427,683571843,1192667814,3267554855,4086976400,6793813112,6383221947,5299677397,1960720786,2349892276,1192095008,1726609854,958813398,1444187586,3116581118,949892214,7170203529,931176251,3255603645,2592657045,405386148,978456951,6591988288,886858148,457191798,977033937,6848630952,3854593908,598503090,1506061560,3123160120,2107645096,558399656,3995140336,4060757976,2610732921,524802630,1546384322,1309472312,952310686,4623653960,4245888703,5066459706,1929829716,2532479967,612092730,4475857024,2727679346,1914596454,3333158269,6597915408,1342183422,702835664,1432514205,2901397912,1027435682,662698101,589404183,1466428092,1435950268,406470876,3761971555,1013244262,2037095575,2256204195,3965216330,304278078,2322868593,4570968714,5067939213,1347646272,1124915944,1074434440,1664117012,5122837307,1204787566,795273206,972795483,4256019387,739001871,2064094728,3622639986,4751625825,232190874,333837632,6724543248,1441316373,8778348720,5929713234,5193933888,1007872983,4348473930,203500436,3888205929,1066457676,1802629086,953604315,3275272700,7901636868,1281836322,4027803872,599242189,604075321,233938416,388647333,292891341,2614750050,5971212597,786953279,5905021064,111065699,159395130,179366,2072702704,1552649722,365635302,3297608020,1753851152,4271294784,1788959976,1326476445,427932352,3998756870,3169945632,294582456,638084925,280592804,521838664,819612003,560903326,18301664,1371168250,765041842,5489878562,4193991240,5566921011,765015284,2492327159,5181985072,987417918,438977540,922508760,905551536,570675938,504473431,885475058,1628320654,1741422384,7932466144,1131582738,2888268240,1836522957,1859427940,2777433414,4972592298,5325894690,6855943913,1294856806,7608609,5747820316,1402063620,5291718990,3101877420,6142233573,1856703990,6379540538,2186382537,184776320,2189024680,5444803385,1365724494,893241747,1993719852,179325276,7701167268,412051284,968103661,3688507212,6886693660,664693806,272523953,3715096273,2192277423,892869174,3871344528,389139186,2933800272,4952927148,302423823,671922674,5015400592,4014752350,825804557,3122421756,701240263,3724255545,3252800768,274216851,4910085880,672153502,4415185572,6712657456,1927182624,569983850,4943769016,2743363290,4804742465,1404331320,5967513240,285720252,239878045,245676088,862296744,2829748398,250494312,622820010,2486160105,545994460,102712218,2533149710,3371094448,2244940257,1790609030,823293470,1927320378,3719570580,4808834575,3747389140,1373282148,4641720342,1426343844,689384968,6934095459,2608718620,5275914872,5864334876,516219576,1215321915,7500174669,216728176,5391190584,8235054,5307823633,2099920284,116435016,179881056,6694199088,3617662796,940753553,160500228,4244636772,6783547168,399718716,1464291098,1913643645,553384617,1359633198,1102603558,33689094,861758085,4238735880,1995455190,672104167,2794424448,1140727059,4995784592,323360486,1659579732,481986692,1279793226,1708741230,2676377188,3018413160,144872980,1617485896,594321585,3515528944,915889995,321519558,7208788716,896030875,6815486184,7814475090,1042286820,1212858266,921877290,7561388961,7390765548,787427552,549941600,1284775350,3312751224,5856044841,1159577226,5977009560,35407094,851135008,3387665176,282869055,2974380808,2815183980,2897359180,3458997240,3155692293,92518481,1253468224,7843407552,2092488955,578663310,1040045520,3885593887,2723444550,5064930438,4664038155,728315588,4428383134,2020692710,1728927180,6153223202,458097800,777291930,964529477,622156971,1491982336,702799652,936421576,5814355296,4311085825,5240376279,184738332,913091425,4380566099,3427584219,527291864,99644548,1385318904,2249861345,956763340,5006406015,504466645,3054205448,2760783501,356563352,2794774096,930984336,2879753583,642838878,145255122,1689207700,6793756600,4603549904,4528460405,5534785395,296993958,2111093044,449885706,561238422,807489759,1834490913,411559544,6193659006,2046096357,5059619766,4389621845,4666872315,2095906740,732453204,842071670,577002700,666403717,7723862028,2233247316,1209966876,648623565,502522248,1301484296,3592732165,4838069889,4522638072,4910843922,3022976560,1102301977,1755300144,1349171667,2459928912,2396598840,831905528,883033140,847279836,2927802762,8636201352,1173598504,6755140819,3371732952,1474606404,258019564,608681586,727653037,1557326780,285161946,267241690,1159787728,7861869801,1603607025,1043375085,29826185,8419494492,1808237505,3800351445,2873976912,175745550,976614321,848152660,4663287145,643851735,389533340,1030340064,5209443336,6375915696,1848565794,781197674,434973972,3800207695,1263635580,5680066240,606815164,389352852,735829776,5473908032,3724401936,6039643820,504690476,163401360,6135001808,701707623,5107762896,6703046063,3379987005,912925637,4724888454,5468531840,459469930,300009718,3594906966,6638859024,2432793783,2017391200,4857031000,4000173044,7259834200,1748069036,1194599584,98662473,4451725887,452039744,290281908,3666964042,6851382147,4862809416,620962102,1627183788,2922427496,461053452,5258898156,1680870426,3983648460,5593474413,524139068,2460949328,2596127274,2387040918,28427572,1264416520,2799222980,2508836868,858596662,1223968563,5305285937,1123406168,232932216,508142079,858976785,3825072438,3931799820,2238267230,277869747,2407043668,85690810,1347815220,106551340,1490381714,1325612398,1776244938,6021038275,1876692634,1720158706,1339695182,3695036022,1629133008,625180284,6810992818,4503775150,1402670118,728995214,2740794216,3960512815,7890933880,13131327,2724327249,1445522472,351875514,859287663,4728987585,1872394270,3174510780,4846196630,4897618220,468155429,8449989300,1517632586,1176607208,327158984,1406437326,890428319,3482690208,395183800,8158618872,345207051,69002370,142076605,2190622032,2332962324,6423407452,4965940431,1789133820,7225806213,483310908,3377113740,485764104,287672760,598027400,3785290955,2158843044,1473900796,1692836294,109605526,600078772,8129934567,833006828,1785153316,5137570312,1018843156,1770746120,420830990,1227954396,3734736400,795810410,833565714,879824034,3905770456,7926213843,1949045646,1696105900,2855492544,2628246055,2628214530,5324823336,447239210,4903751115,1813414918,3114713476,745566396,2845950516,170182272,1856050644,92683446,634694410,1988236310,6052674800,1980627342,2308108760,1533207122,4474010277,4880120700,7097077184,1852467471,4173377210,967322125,4669247364,319567383,6586781312,1269701385,1176974296,2766224880,66808264,2332532694,2679779050,367328130,3101929290,6274644687,7739899048,938957384,1982628750,4502051715,876198092,6229082394,4600025409,1503913144,684473784,5208755790,7412226744,5596441062,6633695889,4437365232,16052362,1707971136,970146408,945691104,302370948,1828235343,1479528945,4469392045,1520129094,333638886,1863289809,2196744556,5117519709,1420428582,130742794,5997986505,1525896705,1882035180,7170690,160196178,319467320,769489464,1003630635,1005068240,831855102,4089376155,78554022,4126639405,3854481810,1878926456,5284896920,5180841252,674610741,3362591328,685500065,2960976699,548902808,8351071848,4201184380,811403632,1962540846,2206033920,4423500594,261965686,6275549547,223525357,803252748,7490315511,1963805192,869930091,8335970181,1415528312,3060515836,5303745728,2842679490,4825694170,2085260885,490018065,1500240724,1705098365,2048673716,474811360,3758137272,2377265100,1534176420,8659899513,2968373940,1127589087,3485265110,2443814280,5317416496,1871098866,2898526344,7327944378,2900545080,411298081,6422547132,2217470766,4453186059,1506186680,453142780,785205035,5168908780,4507200817,4038806245,1259461304,1801908592,520813704,295601092,4651851540,25746090,3310627436,7812144520,6146738297,3741108296,2844491408,6929955375,130742627,2867184200,35094132,2044382560,1737366662,3669795054,3170288572,120460548,1091358121,6842151897,3037077208,2604597396,840331105,1225196760,536971020,2245003140,1265243224,3072590360,715629008,187013265,383087629,4047994845,5184086,57997089,4449163299,1286209146,908073966,785038470,2556097872,2666060895,785303816,60081645,652552900,6395808762,118615328,2045319993,2517708828,7630522608,4541079156,2099380248,2736436504,1328833054,611482250,2563452288,2808684990,3809947430,5418293568,1864608108,1288414440,1505530854,535877646,2333128287,816964342,3518013672,482440859,1122229512,4319279808,445126950,1566619212,656378374,283474368,1717881411,6937207795,279702548,6992063757,69136599,2263152808,895028154,197033880,7083664296,8901199530,2679574500,5187148902,3696243446,1646225372,358070960,328061550,2911974120,3892945385,818047620,819208490,2768338818,5634751308,2900114319,1070091440,312824128,1857015944,1376530408,7627049624,2183842257,125452845,1612021287,56501222,4745524080,302978134,412088391,902044525,3248947110,409946345,3093277656,1992282650,2310302205,1427198078,1164659217,5952451673,5902732878,7284419451,4872098580,4601512512,5867518404,3113110826,3197490569,2882053251,144536658,7928226264,1231115456,260468161,2927035832,233533452,563279741,3271053980,1174358382,2873060361,1679777436,153979005,81363007,13369961,483017650,2747300562,7435265024,197570736,440684034,1770388465,7649278000,2584262608,2184232603,741999375,89206293,1753721181,581259371,3593958170,1642932044,641890136,1815045405,3107012480,8122716783,2910139785,4427258376,178044230,7757513397,123148904,2623939645,5740973553,1204639944,535235925,1946753776,200651238,1449521984,122163951,8365088241,3958785880,1637639872,617918812,200708248,1456349846,57438489,1713024808,344199646,101741814,3647612886,1030641606,1189354691,987225237,43996943,2700221484,1979357188,1908878720,5342475012,101986160,6376290759,1672171173,3288006592,432965716,975502611,2932164242,3139195430,4081138632,372089385,3246543852,934692507,1700934098,99119566,1387141004,2595489564,4514852715,1828119942,2603755273,3885734696,6990344271,3865448,2700218724,5733243513,1164630536,4019354676,2174288436,3781935750,2480234772,949135548,6363981512,6208884096,4035035052,759128386,1612862226,2896397063,284396356,6248400,222932361,991906781,6908142983,2473946152,405532720,5406685368,6671143125,3342307956,427910167,31085060,1974038184,1558815147,1589725396,1099051864,2598309336,6234953112,570546389,2294221808,2863026552,7765785680,2368067916,6702317946,6125448399,336374858,1861007700,1850395374,1233862432,3465572313,3912182896,934895240,1711977230,4884869220,446795236,2310605970,3563366380,297772611,2209136148,1762194760,505634699,3474971948,1534798038,5889382198,257735402,3522073779,783646024,92413670,802164234,3899027952,1308562814,7011320960,3242647092,2599765752,1923464970,2110075293,3810785240,937357642,4032765081,2081077704,1290829671,1429969096,2909927889,7608187080,999525872,907615920,2404348701,6186337850,934964130,680736215,2257952346,5976708054,452838162,961432005,626912837,1779905463,1168332790,1466214825,780080336,3119472490,98488468,49206591,2874783104,5003472429,1194359824,16482528,6048770130,897729371,595256328,1130771020,1263974298,6689766087,1910081400,1629852532,4098044385,4388440833,519484830,6739645983,7630122501,971265356,990334224,6405659976,329968160,375392040,415179752,6333618656,4123355784,584419588,1221068619,2354860161,6150084157,2619886404,1559119230,307551955,6192376904,2464538916,5887592346,3038180292,2227067784,3879762313,6957557616,7780756888,1992881488,468773544,910364600,5305149255,383706802,4302450750,3901041540,98386000,1516845144,1235015656,143477598,58737884,2657775044,2780295964,797466874,3450381804,3314034978,892983622,790155,1794102720,1914588420,2886549953,2549348646,8297722665,729927201,2959352604,1578318344,34958291,5716336,734432334,4388976365,1117540434,5170621752,6892081812,5886241368,1302704338,1142085528,736599022,7216963497,1610735352,4376292900,377673859,3493063860,2535740610,1190983816,2439337464,674542521,417945112,3858347061,3819400820,429414310,8245208511,1399415340,828963624,71880245,3876838200,4973789120,766315420,1249221744,985480560,2522808730,1552550070,6970673817,1910129864,4301964611,3474926670,547715390,179870003,711901567,1266328535,89011992,2720797387,879639862,2147464242,4258999395,2303199174,187038780,8382026943,1808001231,1195593144,2192558502,1070411350,7947727218,887882086,1363744552,519089210,1110548592,929667634,3273429472,2767735880,5568106680,739884926,2261979081,7302875841,3522290550,7685506760,5753002398,166462229,1096094124,1399953693,390742628,422779221,1844514828,69901058,368364320,5964527303,700871324,2881664085,2585201185,4899609728,1796863595,1320286320,2604012352,6863343392,1412080380,348399920,4138799700,2162064555,1738340586,1420455220,850132484,748308318,5145789924,5660973264,502402135,1257146804,1050706467,923308116,5142587863,3775900725,2206781829,820739948,2366185940,3501504145,995374192,6293601180,2250617696,4425228715,502823315,1147174574,8420371497,2232094179,3167556690,2568339198,3970474380,1193140886,16296258,2099392890,2216027376,7786635144,8137969596,2417686456,391040225,1470676122,2109497868,618722668,102038706,418840191,342354252,5117872254,607863949,1068048256,752914057,3482098770,2854646322,692890764,4204651680,3452414324,7354765712,565218006,996858138,1335203888,782033686,430676540,1186836056,2534565244,2354820984,6258000808,649303279,3349143280,921920024,71358402,2406849220,7752689016,1098659816,522075846,1865962252,3565855190,1758782672,1423222668,1803252108,169060286,845871351,1505101131,464232361,1149881860,5413130262,787688595,591377316,4731058155,1610166276,6861493170,2562033712,1949030664,1728316072,3106245770,4427106528,4087221896,4248296160,5695097702,7283864416,500893248,874820952,5596150917,161390960,747235896,69838558,7208507816,821497287,1522721931,382378544,2585322,280196065,56449428,505017537,1005274275,236056488,34930224,4708037574,4112565760,2108789716,580443124,3925405560,437872484,167206563,155736595,900429032,5705105077,2619067227,34273775,1076021002,1409943603,2013836256,6523335952,1015295864,4546619840,1329727,542098304,3646152736,641822853,1168781380,1740485847,420740466,5925043986,4838302068,399590792,582052008,450854176,407471151,3012215538,1133007012,1366052784,1478747439,1729435631,773953202,1563974935,3769236510,6125114562,6019112720,536346616,167678445,3755511120,8249258241,1723967588,1358727644,1041075552,6528346288,611454475,202576806,5865007158,113115107,3671021880,3145654170,2790969630,574634946,1698981080,7167136986,5842065858,1442176533,3698319712,3201846544,3515062405,1371577244,803149977,82952331,6835214943,2705128959,3162916184,5648252373,3163180724,1609510452,716148623,273653364,190680271,695147297,146474624,787479490,1785883312,5491153044,3855907600,4206195938,3649406500,341537640,762892021,634293414,7077612213,2756450875,2498237248,499688770,6121817360,1144071062,386831123,5661328077,4445618868,7176166767,4531483338,1915024818,301579864,4961666340,5702941594,8812139697,3104417532,6927009509,5041484672,4964995650,480460462,2304243897,4600452720,4674341497,6937970952,1468710270,392670382,7796365104,2359022574,3836433654,4246536690,3166749360,377940602,4197682468,95541489,3302878776,737280888,3809405304,1451538162,1899860702,4557286695,1797437304,5451185556,7383362211,60516303,2984062053,4641665270,371196540,6814945168,323994066,3682259015,6616752672,3040513312,7138187253,2960603502,1300441647,2110598140,2216128968,2857487256,1842971394,5370819032,5664855861,8506397232,4758129292,463075480,2041556982,216475351,889071472,2024305556,3460919856,1127028369,2232172746,849489152,2304106665,4707365551,5419151976,179022450,4864143705,4673933562,689446525,913245966,1833865458,447327452,1032013332,1530426087,2449210941,1592796840,3095782974,5588215952,4270383215,2594038846,6653446008,361642410,5775901677,3409786500,2432621820,6122790477,3019124922,3868880820,3171226059,1913873604,55633115,4030988364,65769024,805753533,2850395285,1559798720,2968387012,5201925750,319406568,3500532520,75305627,128383635,257196036,819831420,3673451920,399336477,2166151780,7305013352,971913852,4517218953,4941410560,890663920,3621445272,3081817275,929253156,38589770,4585453576,76620870,2392360224,786497345,2498783583,1491009010,7374722088,110629404,3417913485,1869821019,2865806592,826422360,2255090448,3607570620,318602880,143904299,339227886,2350296200,237931687,6413204924,4811390825,1291534416,502900531,1429374174,1513534542,628510012,4181847453,4351459280,784071390,7240936784,7422386288,8575462,3606975292,2709835105,3690317952,2477988552,2393261160,4062816342,406310082,3860230800,1913490090,1133131152,5614067886,703272164,2511434534,44805246,3209987412,394420866,2679078045,1846387858,1725491784,5859616434,150489166,226297483,2613159660,859442184,238926080,731357739,6789380710,3261428672,581144158,1190205296,2587578399,5644845913,3343856544,2506995659,884368874,2105102886,866011986,299732572,7297952680,4533644230,788647138,4611387,6088654649,185161137,3962548800,5343370438,412366886,1888993656,419885664,8147165805,5495276664,2440358075,3426295104,5650027208,1597577315,2891348085,772858869,324421668,4022375105,174044340,2086894145,5400037370,5019234822,54139160,6100782184,1184693355,2868749562,2752465540,465444600,2197904751,3296721750,1319553194,1071659685,4746445548,4604479936,2295034686,1787973342,2764653210,2757492585,3035287374,401663592,65449831,2012565712,4796042470,655588460,6249988332,629011453,304507257,351836163,4826392866,1560366951,3839597728,3671167276,8574550371,1738445125,1607444996,708078994,2084337910,1797758967,1671105000,4453629440,687119566,926133829,1858571874,2536176240,3429767436,3767837360,3697376662,1626946224,122772456,376195177,919728743,1779974990,4950005224,1345265956,2946830600,1292344980,5859927840,965239572,3424493825,2500088652,63686194,3050237178,513809621,4344205272,3251194842,2975221029,917641528,438737928,440914933,676801765,713138343,3835136235,1504384594,292179344,2113961924,307638918,4694332563,406750600,1750855898,2251014856,1884674025,6089185242,566940657,2339635160,459557296,1942479746,113369665,2102090373,875641842,1349387238,3085524495,1952374500,597638284,661270494,2743496706,1101875218,1500300600,2211061830,2444201088,3629069127,2102454711,1835928362,3067749330,3287277460,2119022404,4573136864,186759585,315119246,4237612670,2726739230,1017103050,4260651205,2230123495,1773894756,248884161,3140763260,4142374350,92207685,2314833755,3440790965,2791082670,411333328,1186896339,323474705,1956294130,1993702590,5952372498,576147456,3189733336,1196911485,2720880834,1607346267,2662526948,1720113380,1561753368,741609120,2269886048,621525630,321693228,707551256,6516161320,5886837840,2627520414,339131856,5051860191,909826796,1894623910,2740908056,2595212400,1107088240,813926175,2360436564,682261245,4930598874,1733929024,2032514916,6468890391,1574702248,2088704136,3849601098,5598130,8590286,1455573756,3195332015,3710783790,7813687860,5594517768,1902568248,1491215232,7521711984,238354600,8231090490,2050127586,4055886870,1706614616,7855370256,1614055026,4283905388,516965872,2466091068,1105086906,4406886600,1334658456,1671209141,631802890,3397764419,2054462704,1715373170,1521763370,6802870305,1770736020,6731802567,643361117,2978697348,3711399304,6449198035,440702996,1730162336,656866509,3664930068,5094722960,367803176,5588114589,946233092,2036947443,7635358896,6332291982,284246418,3981524385,381720656,297257436,1621157008,515326284,725403695,3557514648,4717992882,3551792760,3212693382,353989782,2426910680,5935344464,20521158,3147837690,2086992803,73784547,2965980405,57692748,3127949874,1725494827,428612355,1324455254,2537119356,2489349672,1914156825,261567831,3703551325,947657120,6965377223,456059864,4524483888,206169124,210023499,885758552,6902050659,2276171061,920031892,1659169770,2147501430,1777938420,5579632044,4573745046,3934374702,2145600468,2696884761,964841827,622095145,3102730132,1507621808,3353099635,5794168989,2797404207,233118942,659852668,675938970,9900628,3618923980,4476559184,698370525,603782586,2971645768,358496980,3693854097,3272052552,2907744168,1829702118,1116223199,3839711316,323624337,6741038738,1636984275,1564419040,3737132815,5407500699,1091762352,870785672,1555485922,1360874740,875208734,1964593296,3838694805,842509375,473108860,6952223408,1412842963,3249730252,3573312440,1625412903,205467843,385734736,5756807413,3781566035,415045505,3427340505,906865494,2467213056,4191996321,2191434210,1784867154,3526561044,4121633160,3366080823,4052262204,1450107732,3146240106,380682460,915794115,4510546025,307509832,903363251,2831661268,263822692,4197742764,3781230068,363647988,1942502265,931937134,2037968022,5932578304,652040571,3210795205,1306762650,200410238,1097070400,4129263072,714933206,2378142380,490272801,1200448794,2965008288,2135510356,4868329509,2917199622,423243095,1307567646,374136598,387034447,7719276216,4811853160,1905969978,666596616,322570725,3474380976,6454121320,1670881275,2645860116,2300298783,629020445,1027494762,8096885955,782650257,248043484,3462075424,183134165,1894684196,2846749344,987615875,686783960,1647146084,4305753744,1134751300,3202185051,4683822416,3106963602,3802580130,878923570,4135877172,1410759220,38610185,4308800321,5869720575,4887107154,1086845400,5066878425,8427082815,2304598808,1251398712,859031058,7283716137,2313740107,1144049128,1179687384,769959714,2095110528,3072354111,5191262188,1750841592,8537139459,663381102,2666600586,600051015,2512009452,3857310735,4928234608,2980091835,2338887465,948634932,368299605,1875466002,2284130989,678080871,1595982056,190981842,2554427932,1377419309,3461723752,974016322,577688346,2641819095,7064984648,434109174,644309487,2530772280,3149763456,403159736,1990105272,2319331644,2120894432,4725700155,4311944161,139371529,434590348,1350446216,2284202720,1128197020,3500905830,1548205785,5981259366,7514882152,1202328252,705698288,2865571185,2714138188,2615072890,2187370372,2215127550,2435804667,733418536,2039436408,4053683580,973636896,368364594,2465410708,2555186679,2352516104,774431178,1357473690,4704116790,2163246729,4641331584,2467878865,4239393825,4564648170,4125123312,2627810706,6655395957,1038735060,2671211697,428262240,2333923911,5377691816,508582342,3756237096,2611961555,3362790140,362628606,532920806,5065212906,882910722,4420756648,1319326360,1094709510,241605675,1130589901,2497811898,6325736736,3586274200,4252885980,1748004786,182917800,1931072196,2698081028,450241940,1067390352,1348965879,7258949757,139429312,2756928056,2920611350,8081539362,2140453330,7749574576,394708408,6166974752,6640467240,1822591708,74577810,875858370,2259891972,328813776,4534791100,3234743190,929196018,1294352716,807926520,179399550,2428572027,2205677136,4544404490,1510028176,4617838953,4957179507,2424069354,5517743792,6102286440,6001439808,78728730,1149484437,3787971840,6678745866,657881720,261998395,2597146200,859828598,302555439,5033467542,1653512532,3116551196,296530548,5334781529,2524242006,1437298959,2642534394,3672578904,5308091916,5196728718,2448596536,936323184,826437065,5153369648,7070173280,1874557311,4021007106,560318241,3214167733,562452150,2975018067,3439096370,3037387976,498060992,1764747764,2995222072,5899265034,1392696060,369180545,2608877831,837987381,803433540,1714778022,3411919776,1715756712,2826249244,6752430468,5526855909,3465142548,1585621437,1944673496,3148140012,5005174923,2346108940,171899407,643955516,1749962394,3490275600,4372108300,5168129351,76141722,660969543,560050170,623557530,4255046658,2404401265,3543876108,427574424,1741571150,630869271,1984283584,2400693344,2132149674,3112843728,8029293678,8778336678,6318275625,4790342325,3269562980,281015880,5668016292,1005078788,2593782632,697296700,1942493301,1422572160,5498541528,4347704358,845141973,2033971296,2794060260,7128164376,5413101112,2054855349,3421526305,2155689936,1560366410,906638018,2647612158,446424696,1221101286,652266760,3034822816,1645308092,435959972,999602268,2070832689,652260120,7809046200,1860954537,2796038199,1651582065,2351313352,3004181808,292566890,2726776038,177414585,1694143680,446303398,1432957572,1417543540,2101587992,2937064955,2852410424,1420678935,3620723975,6992573714,648420006,677489195,903388101,253214792,355353054,1256734320,3193657456,1130933452,4274683250,1236969948,852458755,161759932,7991320112,1532252160,835449792,6876714276,2908240975,4767486535,291604475,834637813,5230505826,890409775,60390354,2299162208,1463772345,196172911,3754465470,2819571540,204224392,31046397,1290681218,903127428,817853825,1905464550,1295344052,658425400,202217664,465812557,689753698,2528692761,332209035,497662172,583630620,473450154,1757238624,2229697065,7282136136,1386788786,4287569952,6038148025,115011822,5165465382,4323367788,5819925600,614473732,695635400,1404540498,1552166804,2079046728,2237477680,2723593947,4794103053,4290685422,8396150103,1900323732,1239954906,900127415,490753323,3068193670,2575376604,2458308126,5131566636,3165668526,3193621535,166433970,1540754864,533803936,1774157539,2143535312,509527405,3217748766,1072704513,354230928,3401452926,5052233976,1339169048,63694586,3616625103,3987543385,4686640752,834599809,2330249264,50269803,3296868930,609341284,2766428661,1616950828,2421527190,4119437104,1480262762,29944728,291225552,1014549998,6570037764,408697266,2822304312,1887923624,4428326990,5869439469,2976319608,3029884780,7353738024,484188680,5170312776,5195220800,2044856432,225475689,2839273098,133286990,1860217037,4201799748,6751927557,1918758444,622625792,2134971957,1248258096,3730028280,2766041305,4186957614,137766942,3492398192,3728841111,781936982,2309583960,2350982718,3522036184,5219282696,7614122040,4820091672,6334899291,3119743828,1291784616,937498074,1981814900,2452187616,1920912560,5646675128,3589764632,1506255895,4728754026,6315731820,1284917636,2190047931,8762691960,1786406148,3119891980,274055593,3878265726,442300584,4910665113,2130548484,1753870736,1604039820,1329025984,2474396806,1388011068,3547553400,7816563240,2854515213,1877039676,587580525,198395598,4981263924,4485580935,4145359631,2634877325,3439127190,315455598,285983181,858714750,8857556487,3670532915,774057965,2892991026,4547919222,2915001152,6936115270,8408921355,2309877384,849651044,744933007,2735421856,1805868004,1043275524,677200842,1296164304,1768018715,5113843074,3590514576,356672001,6729196347,2551646248,3943333683,212205217,6376744948,2193427838,1983846885,936953785,4546968625,363410844,153445761,5349423600,363428736,533080765,1089702174,4720905780,6282797626,447497050,182123460,1192351494,1676979618,6930252217,483300575,5873837480,3101396524,698632100,7830541152,4446308265,2673929574,1273915185,741167326,3724167488,3879345585,888996558,490615047,586004612,759053223,962866284,326478342,2512866591,3186886770,5761058994,2616079156,4867296768,67744546,353255590,4150988653,911171452,3308084160,3647620064,7973623040,5722058700,6848513994,2012042271,153785576,6884462088,4872818069,1652609944,78612592,3641371230,7030772976,5346039096,4642743476,6756650694,1386433122,179547345,2955784872,136892596,19932696,1626780471,1432870734,5620001640,607814179,549756066,4562502723,1078918920,652165361,2249901075,735564719,2488613332,2973341529,1662052704,290364384,2647706012,654027738,1832897945,254749020,2365495992,1410502725,2959105689,8041828536,838859045,1265609193,1859820592,1953964494,541514298,641879812,2378757909,290944885,3954215832,2545519832,381813513,4640065052,2568202149,2984408070,6343496240,2775749631,795016604,1978781648,984500588,962892394,5156468082,3090767988,3715276160,7256245014,2828982174,3965522484,5251392120,2087411460,1430470908,2487109260,955571802,197655415,2915263768,5471354672,4802750344,3954772796,2827871970,7872650793,675847770,5700631050,1210270364,664175346,1869258690,3482084767,2772916172,4735512725,2146309605,486945384,171091461,4880410535,827634601,6343540623,3739102808,7497749259,2768739519,3725078696,4380882870,4395890190,3084189820,5122759744,1587152216,2541628832,2790801050,3313222075,3909913104,3011264176,2306680974,7647518320,229028091,400173853,1278288650,3674293973,1377506948,2872204190,280144425,2503142511,614147445,1268629512,1321544110,1809096885,4261808789,764401512,264213914,4963120568,357245536,573562354,8021285820,1542065442,1878212782,1513743406,1037593858,883157938,5002181478,3817641816,2088632058,1926354600,3435479708,3923347401,186927619,664799688,8236919619,1532901784,926010276,3849021657,1796294430,1756092532,2888405720,1076972636,5627723990,5546671938,975867070,549483908,3767826360,4655595800,5450641063,5552860812,2181077948,2915496096,785128155,4890565472,205107633,2709589008,2300526160,973592830,2395747688,5226884622,2545937550,904958798,5164436016,168079805,2425874760,3811404864,8515832670,2115804625,682606484,343350371,2380819252,3808569636,4297335539,5660266983,979907245,4068664970,1325213328,2413672560,1922349720,1735235368,665574769,497617376,2709871905,3279835377,4359865880,5287866270,872198259,570821250,1888210112,6691817587,3235682856,3933504534,7218799056,1765327536,7072883904,568006582,218021344,934178593,850880992,3221194448,758806912,4230385,1141649217,5759069304,586904968,150786409,4052773837,4438302996,1740422284,5582232088,1966176987,3952293835,1780265926,6949275192,1052513692,4947323260,1261596030,2931455784,5417085015,944951157,1295267540,1067459164,1106452172,1727297154,3300435344,246080954,1942138215,6987236688,368369028,3548389868,1668490530,3435386310,1091854518,3348522136,1871974104,1938333398,987583810,3843412630,327319887,2928673086,493689293,2717804418,1572634149,1991482248,492142921,1458151882,3657815888,1748873343,2014802752,2620676058,1205101852,1151489412,708475554,292164072,4698194925,1310411053,2970134455,3421599664,4119094973,2192386764,6619708692,5127347992,3426151905,328406498,1416540288,2244193496,3360536636,847760698,1995536316,1840424379,7790772288,1530610184,3490653460,614139091,2241209805,5419379980,1245753189,3451074036,7533126056,1781466026,2986155312,4394458350,2888172768,626697824,1209896223,2878718214,1387894680,2158939698,3480266532,1763463994,2841893120,1822002,385907064,3449692965,1746849136,2067106904,1668592488,1243734308,1098125604,7820244992,4202337321,1144066830,2183085612,111295833,3357290572,4043963695,7779311256,1022070364,1302487372,6054814710,2567513064,2999683525,1897487084,1404888510,5867630480,4649987520,4138977115,286998370,413818033,2683949352,4323185566,1690350800,2092827832,1319848977,4124089920,168209275,2147368128,1048048806,2643771767,2334433395,2500506399,3166865616,362863980,666999057,7633576737,5510164156,406209591,1246484228,2071009128,470030204,4422940040,6078089632,931930042,1978310465,4057496080,349283030,1482589290,2081193512,1587426255,2781347313,4388285385,1621355247,384793738,1947588240,4120132488,595401089,282928662,2628955755,2209133004,5957377224,823670758,231180328,2744474655,74598369,5454770286,1577036056,766254396,309914262,6899063000,2034893780,593269105,2930440312,1789102784,3752496880,7711374312,127743381,1905274844,5808044024,1496333770,3516149040,1931205256,4637636360,1721155880,1744738704,2199751947,1837730295,593409144,127069327,459251112,5880629672,5025595746,6908436108,4606917819,612250800,8293908888,2784265728,995079064,265139839,1628816155,611988336,3023721666,583763967,2970446095,578368342,1980721872,5803241898,1992235167,5691628160,921752919,7512401043,1831311480,814935752,1460465790,485602936,1243411160,6489935081,1303105328,6371825760,6622265178,756209622,251962518,3760650831,2229091659,3282421096,3219779960,1673165552,2090759544,4954754244,269945858,1623277233,8366713020,4966893099,1374505868,1596922536,3023879866,6962841549,1274407680,3439146828,3011838342,1812284292,3618822802,1867818930,470117095,559618812,1797775652,2393212556,2485529605,4330873182,72254304,2316011844,10845378,2493576960,485648135,3053952615,1527398236,1540084196,802704576,6989183910,3139980380,4974021785,505458780,1813036904,1230778618,1215308064,2514466494,2352562420,952056486,3901513380,8531628030,959068327,2393849235,1882991196,6812858969,1182748482,2672738937,2176443108,2958766227,879567156,5025187566,4501843050,1437537800,2106381513,2078227080,155285748,1974429270,3638998195,6118723870,5863656897,1342372995,5582826416,3852574092,2120971920,112576628,1268392461,1517255096,8558220177,4152020040,1516388036,4489839879,3078273789,856031472,140451957,1298766925,2098108925,5749495864,3714055620,773566973,3184735210,2012640225,2443645089,765429388,4420993194,3511102010,492618740,943197532,5807839520,1758111580,2224726832,845860757,4243226748,1929715326,4327090281,4272232920,6046689232,1457075538,839025528,787105473,3832638564,1446283500,3439867566,1756395660,2152613661,555133640,81313440,2389508855,3370533240,751249074,970522125,3849840702,553618120,228225456,78798633,1552847472,385668200,1855747526,6635891133,5334004347,1814917,3494819860,383640779,18441795,1936653861,1489112188,34790290,1370324035,4967946620,3616468936,2528321535,5433059100,901133399,7745807272,1562634462,2177866750,442685172,3086250201,3540183548,6711813168,1183933044,130357012,640533273,7917540264,2362908705,1836658330,2973763845,523649242,356940384,1944812672,3973132120,1118418105,781405429,997580302,6361754121,5492560066,1288382688,769723266,506953689,3059249520,5391302154,6674332875,2297953508,642504660,6259355946,75531842,810317546,3909631506,4882952310,2876727126,1119243224,958058043,7555547691,655501424,2509960068,4804546936,3800418720,1353675084,1532564472,964144855,209814234,4110958020,1544835784,2832501736,611353758,4583499954,1539575052,5135681403,2998839408,5210576875,3668028588,2984612480,3497655490,49411635,1528852113,867973990,1306340084,4087775205,2193318576,600494076,915475406,3834647718,5894668908,1585602032,6786258616,4088467621,3456055974,872748876,4665014280,1297963332,8949643875,453764660,6520836721,795602102,1033379376,1299540680,776437903,4446276555,1927335512,1394157640,484880260,3571931524,3763347632,2209599056,3906653060,163938594,2026424540,369603474,7379444241,5916035656,5351919942,4099925240,254197720,228275514,1611734466,3851271066,1286402195,1199167688,941446282,4563674339,6203496131,5933880832,2992962828,233703680,184791018,1501786570,242161041,1475726306,2612746756,2511261495,187474293,859205425,4128267600,1532106632,295465705,1776427512,398830995,2224662204,2697140727,6553504008,5584147905,859452300,843864471,1824099688,293380544,1114997892,1646822022,7901721032,795441664,189175560,4123452762,1143553992,534733599,1325109172,4199985672,300702364,3930354785,1454076752,105988906,3687928326,395896236,1965307164,506497704,5839152798,132450885,547609581,477096028,1965677400,609455871,4177277535,3679879068,2113562402,8812668159,3153822135,1903395777,3362116656,3178232343,1168044876,1611053650,1039549965,1544270833,5305457040,2461377855,3731092232,3197847390,5317105353,781778759,4675853238,3725195201,269818710,1600552344,2550490344,236186273,403329553,841116354,1485435020,1566406080,3021402960,3362673920,757782867,4642788000,4528476975,433310726,2176361094,53356868,756380606,387051393,2358489392,4614590874,1642404352,67973377,324776592,1010226444,4411313448,1802428002,230435773,2850307245,170114755,7928220048,3057543360,1908458082,2107353219,651269648,2188171701,2273118288,4783458344,1442548560,2718124506,3330530004,903025806,5112736090,1708120110,2179260390,7535825616,4468498240,218544936,1250286546,5106911824,1458992451,3402498592,1904507132,5147649948,2471999280,849349516,3020161020,5197662954,6980020800,2310752124,20305636,932109080,102488589,2194341520,789158832,2594850801,1760565438,1337670148,143051344,3182880295,3757410468,3534175736,3748503330,3240141260,663264684,1744874514,4189010990,210857128,1173923590,206796880,152469452,1076837682,8128235142,5310858186,159474500,526266254,5745860757,70252983,994943433,2578558544,866712267,6069635595,6301580584,4345628502,2311120887,6294889098,257744830,92320680,1384547163,4133111430,338818407,6833007468,5305320752,3459013688,1627548696,891892122,2323013329,594817824,829801758,3216119238,3092808159,1185732625,447771892,1616654316,5517351738,3713227301,750189404,3253577008,3241164696,1914933681,2631100192,251923494,358469683,6492401736,324469540,6805322464,1814128400,291755228,4734718047,4783778300,3595793990,3661257936,3545102883,939880276,2038737396,2223087024,2586161144,3620505175,2941829576,5362837608,2359506006,344410319,5097561945,4267866160,4450574716,3576301274,267225351,462011560,1226588838,882879762,92609755,2694788592,3619926024,1352475874,2481769204,5065273592,417395502,976395837,1538201190,588225876,1263339846,5840860236,986927724,4153907805,808007061,1059510368,4889808640,1535498012,6379526817,436604286,4694726290,207974830,2522652255,5584275768,7547372694,656372856,2097033273,3599544557,28438192,3987675030,3311768484,212510692,3420464136,1016276406,1180541856,6527032371,3280571704,606885672,1888755782,2399994775,1493082926,3017998236,3506741896,988906914,2161346076,5493938808,2475213152,2024403012,3742976892,387845770,1946567796,1727226400,2278491594,326089099,2669450552,6765689553,284688176,895240504,341060745,383709068,882975663,1241078121,2812760904,1922624725,2038247316,1321474036,2101652581,144945842,7253174800,1775586065,860768398,59557086,4965810432,1912435085,3882579832,973199526,391653294,292895660,832515090,1671760728,1921057784,1039248060,1085839671,690740525,2744775798,1117685922,896686430,4993172030,1446353200,1021898610,1911658830,234164308,4628288340,173724018,1415001889,453334990,6510899465,21120342,658377510,3293444190,502305333,1480937440,135534978,6512910776,420301405,273860252,708936440,1856407732,250454202,601277718,3678424428,1249724755,83769436,464082524,1555682211,545460876,4197230088,69202444,1586104275,6843606749,5600391265,945836320,670745649,1059535052,134610672,4932485628,1898935128,6621252471,5016477942,4758198500,828878281,2748972728,565674842,5383018361,5153452280,4641286200,291860935,252328246,231511077,747834576,6149694288,729119284,115244330,649235676,318977229,1153212558,1944917212,941793072,50436277,2976854090,1811477760,8059695723,1527842564,20842548,5481580392,1930092458,2381500265,2308113696,1625610627,6850984595,3831089654,291932888,344153563,5642532099,216658659,6500125954,544390746,276584382,162587279,2288968569,898148064,218230047,1432551060,2920572348,378616552,7531326027,2064539024,4595384695,2456833200,2797610965,2738527392,596378720,4020063642,1423695322,5063225922,6392028209,4515663885,902848074,4495899540,2866114540,833301365,5488406072,2216223582,2754495570,7021256816,4134608520,2976379917,3889917078,2828799210,4852708752,691792874,3710796560,733589494,59573148,3013584952,3421785544,1931180180,145716093,181977606,2316709976,530783424,277282914,3055286810,2466544836,2179533995,893627860,4644034290,3280803892,444683645,3986063622,1778554838,4801439370,8573039856,5624484880,505698084,3575861696,3758786075,1977390094,2861955774,2359302065,5853819584,7753650300,2812689891,7503010568,1014798055,464837022,2019686484,3950770404,4109628136,3992785425,6480151392,880478190,851481344,1137027535,519817959,2783092146,5360353048,2772215368,1745615376,823521204,86712900,669308283,1604181018,5521191234,6026144517,2283237152,355945209,5715431286,2463685256,1202282019,913260230,7895639352,3428180008,1536209004,2960010864,6674063463,1196885350,76302876,2981088135,1965217632,55599102,468319152,2013870468,1999197096,526897270,253861492,130447047,5797681176,794019666,5291003664,1943447040,2808060258,6246353440,585862032,2162217006,3647313955,4828355532,780094369,4160589685,1734453356,6088609744,5946275349,2538512520,1599906700,4025979480,3574802624,2603689304,4022370342,1814988200,2371677133,2105770698,2054828181,1411659744,578264711,1598162445,523427598,1374825654,221049592,2307739917,3077517872,518099170,298563960,5864280429,1259215582,4513713904,59429540,2493816850,2211324162,4199059926,973308476,1174726476,1478316973,1537418532,341170680,750282743,4894057464,4115953528,5648076441,3267828179,1321500340,4990199739,901601088,1936631262,5681740840,286872402,124913632,505642650,2284866564,736300635,5392531242,1752170496,4458892182,1152724237,6740983431,36248528,3754176450,1105504253,5510867049,555345408,1263469902,2478243026,1773891234,1694091780,100329741,1816952634,3259143376,4745610550,4695032331,2888032239,5798713347,987697464,3320609404,4917576969,784541502,830887191,5718473100,1384127716,7837568088,2212161489,4911936255,218836386,4565962,956569853,102002398,66337188,1233715736,1448867082,2240563434,1211470218,2587405715,496422269,835882044,107151526,2534194398,105709575,1693854496,7742513772,2520114438,6598745936,2615310204,7395704271,288726010,437317701,1540014057,733850223,2734817856,2830452777,6549357227,178221971,2722048131,2060429454,2843520813,3484619991,3633645798,1551482874,4749015971,736167084,2814854680,2621947496,2548274886,1988757118,4183641780,2998523166,8606514,4535041146,5405490472,2134564269,1907219910,3051475984,1471483950,4972126518,170783844,2633872722,2945512197,4089180168,5067274674,3439185533,3803187700,4806511371,552532464,7993296368,716400594,2584772616,347189532,915985260,1763716170,2625335118,807281247,209533138,4468955175,1530905516,780211709,757615389,1543900818,6881797566,2861976280,2365305155,3704794248,988686440,3386375091,1176142062,846505164,3476258485,12169123,69229721,2919923960,5172065296,542681340,1242522890,4151221291,510091826,3406896224,4945452395,1241290050,8490099312,1319131545,3278081466,3347036814,2738631789,736055306,92075323,2409659379,1965083691,4727773752,5740298190,5488760646,2605018112,516971843,2709745992,3282074316,4374220494,1377565995,6013589408,5407182784,124596339,6721261281,1510912557,783405530,631248662,1453677230,1105502474,791030208,2966563005,5851838992,1626066846,971750150,1665967016,3441352832,424099898,1830003355,630873578,2777044872,102185313,60803880,1690705377,645621106,838488234,731574569,2676254982,1264241238,7256990032,883466045,4294065905,833476965,1206702138,6948151317,5866459550,176880645,1459468692,2727009965,5525287880,3848644875,3311462780,2173222125,2429837436,992559160,1371706076,7263807392,7764481512,2688059285,1404498942,2392150756,3923444352,2264302503,6424955392,14234455,1611384678,1068063941,6438865500,3329498168,1061983694,1518082248,428516915,3924761876,871056809,3629850014,4279241170,1879129259,885570822,3341450745,882790899,4480214784,2342166816,738874923,2060821884,2030520948,4273949135,368676892,4894213576,159592914,3473797536,6027497112,2970382048,863932466,3910419927,3194590504,166437256,819300950,2868925593,4302286728,4146066928,1676874885,1488324924,135920337,1484643315,4109059355,4241743370,3557758476,2333764071,1262975820,5528142928,623428724,600681315,4428074568,866293866,2113636864,1425996192,679045509,323040003,26588434,530598672,3657095556,1831822899,2755295,37887998,1950285906,576046374,4134582280,3640577382,4898868309,5602715316,3438788952,253075365,4718641968,5926078218,8047811871,4120100988,984231906,796988624,1666264632,5697602412,628054235,3933993595,2361058836,5732279214,6291297201,2824965565,501207194,836132540,4221365934,3779039180,643878081,6656730256,330415428,5336303672,2274608238,5304786914,648319824,1025324292,3892692228,2948898999,722107796,5972766093,4309362424,60495320,658565976,2485073308,2855852979,6680245086,1853362968,1921653651,2884960866,517458954,1876354125,1123307292,4395682416,8262388683,5794234578,1671089340,190224545,3885463496,5748618138,634087466,7912882264,3994281315,4178142864,1256937015,2761750005,1216115406,2150830092,671089980,1749693498,3049898784,3964158894,4981104018,4032854232,7824894792,3398868700,2681768994,1845143232,2411757138,1561577728,337386837,1750805190,624225425,3641844906,72746746,6816676599,1860027291,2990453064,473814775,2642537610,5359608723,495233745,553926359,1093865582,487818748,1937798796,1585362360,2489581664,2048204488,584501634,2730448192,4360486048,3288883383,3498544566,4221857286,2282987439,2552068290,1133747151,5710805442,1947613904,3775384600,6313783280,1017942062,844704828,6144589339,4135631090,419106206,2846329128,6358185567,3147253260,3545247744,892035063,351405546,1484855088,1165760972,6188357376,3028569420,6780838482,238879705,3088161776,3571049704,7090109433,920537463,708565544,43020252,4667410075,513516268,2408115189,2054450160,504502944,5669500548,982086186,2068334368,3933552004,4122585774,929996370,2253830024,191405716,4502174896,1516297084,2470465480,2331273252,123520008,1704110913,2278549905,1892021860,138123628,391967643,1845756304,127124451,521912347,1500358989,7777809240,1460649321,309876900,931176699,2144116528,4697424020,2909694584,707738084,1865027052,4875943455,2982552188,3297965636,1101377172,6022154648,741111664,1465548974,273396370,1114376307,606335520,2988806739,1535915124,924846692,5599221448,1122601650,130960076,7078534668,4577151362,360601577,924508292,1250135340,320591810,328390826,1561423576,5975311743,1510611525,4371241125,1514973663,1883651070,555778099,8884761210,3789141200,29398254,2272606552,3013777608,1464092780,937208620,4296017682,1059428514,809960165,1445617446,3953066992,3910826994,4392131754,1538188692,5353509609,2664840692,2884091190,512919630,13256052,4638622548,5835131568,2698592343,2356804312,5032052088,326584926,1112111361,782104369,1255848231,5510783360,7053422448,759027799,2137164250,8108765082,5538000546,3197762946,3766046492,990747970,4523477670,4709884704,1498862403,420017514,190448620,252910286,2118713004,2396025792,102125054,7265343112,4279802982,539097021,3872546590,679130916,254828021,2341895742,2790879168,1097147560,2859696081,1287998248,167573856,1220271780,5795912712,1021314300,911526156,2035658905,1621659145,627872972,2280345246,1584438486,3421145785,1445700532,3272756792,826720448,1817547148,2724548247,906802070,5341032315,6509670895,5778062883,5580732367,3624979624,1333315200,939549702,6087120534,959241728,3420679913,2370703398,523933781,5161317708,2781501665,1610749152,3721202376,2422440992,1757572016,1950378006,852945797,7942440870,1209503169,632430485,1654620140,198993297,1942255860,680794849,100181688,997067175,7412505480,2771968884,8869192308,234139753,1644551240,2068869430,6298393794,2084192305,706455648,587384944,1067988174,734392869,3915728978,2191879196,2472140064,2134023795,1859231496,1530457684,7667976231,2897246178,3743708904,6178392306,2433981680,3208982424,111345237,1293279762,2297014632,1576098312,1079484750,5401819866,2385003764,329522178,6396893874,4455242040,6055255928,784711416,748676740,877134816,588996642,1997088530,1976104204,1614191950,3077727780,3496812944,2968442780,1802292578,21570264,3329951410,3269245273,2081980557,370458778,3279012952,186040945,1591835248,4123309856,4497775128,8988938595,723549296,8740088541,1892548882,302486644,3710723584,3660121662,2382268995,3380372000,2009576890,943093362,2999885280,1028307164,3043956234,2022154496,788573934,3419029216,987404719,4565761380,41223488,2991634680,3813659206,3388673568,2263566543,816435525,2006439012,1216000240,78924016,288499432,1856472904,656444816,643455064,5037933906,918937296,530037275,129450468,3589673880,331743019,3813776197,855684416,3034831616,4143710263,4315019735,3305800188,2948842005,3793677684,7513484776,96424785,3510538672,710615236,6740072864,6674909724,1720375209,695749734,188269106,485317002,682695945,1729159794,245215770,5328927846,124297647,1407886758,1448296614,3058001510,5429681400,258907059,5086988192,2873700774,2533358058,4743615024,523747062,4252951536,24990031,5345972163,1657069845,226500692,6292556478,578075909,3911618195,7730581848,20465812,5899871478,2477400611,273225336,1637737822,4358992340,3084791130,163863169,783816080,478045580,724765926,6907109598,1538951686,2235896385,8909682894,755157792,638111268,1845378348,1422954592,3066005435,241566663,972013104,6417185509,1813059794,2210877045,5949250972,3423368645,3541207800,5680471426,3015579651,7859877072,635227579,304975228,2644353628,4410553120,1348964748,365456215,4560022026,561590115,226947529,2243709777,1939610546,2450299345,3736375866,5054616408,5801633999,771422871,32976132,216135096,1020608938,3849940750,1219011460,4373697726,7162337979,2110290624,2698311411,1951059712,992688560,760954554,2947030645,430909038,918457736,986324728,22712514,2172907425,1142087405,5492189982,2337289722,1301046784,267586440,1665862308,2510086215,1360745812,8214111000,5283689226,97844288,218743784,1646249932,6724081287,497155089,2217391500,5458923444,8662971807,1784221383,509508130,1127400421,5703975284,3247576632,2297450855,2075574804,925820697,3311443680,1720165216,1001416094,85060520,6311998242,941334062,1647212283,1294421054,230685452,2553854760,2056166495,1482975068,2304834636,735148656,379385792,7280869257,1556510121,2022585516,301179753,2720176137,1534783566,860584542,1909875982,93972816,4121118330,2496314772,622474548,1074619702,2198985278,778441682,582100228,2432755096,92932424,2840939508,4913614776,2795420735,375469628,1919869596,2725792344,609536280,471327397,4407146790,2244233958,3053649456,978820980,1085123496,1216531932,938862336,5281173464,1718856601,505623276,1197864048,790793312,1590894969,48897894,779772268,814820984,810819676,5837048189,519093422,4152438390,356543555,6528621687,782979182,578830842,603051519,3679999461,1715069721,1216218258,213142189,1688012109,2172337305,6782360060,404794093,3374650032,93983440,3422008884,4422574150,4237169076,5536881049,2628317040,461147316,2699417560,5582495312,2063903324,2782369410,4236701390,8501335263,935976949,910225500,4695829545,6837609121,1108371366,497645544,3998463880,488725488,1063614060,55827740,878432962,1207874482,1057052272,64397296,3919779178,790561620,1535267584,5643756528,2701616151,2531605408,234694832,3843570984,485947472,1655953452,3757665000,310989722,2071089910,1231083608,3782736540,4672786998,1452415452,994443288,3694495840,1368314056,210413346,983187117,3809172608,1942138432,118733112,699367056,975608078,870383645,876003894,988611352,879518793,756823682,749409096,1296705702,3733466670,100473934,6685983315,245615000,484526304,712934210,925622042,39483045,2546565996,5776836296,5121910368,1479100012,317466436,4839512556,2122837852,6975570392,615775736,166857201,5460381639,881128578,2555631696,2467680504,7450668928,507356900,1156034916,2896662432,5465643705,3687083490,1326680073,1789811148,2956997928,2515552648,3356959571,6804692440,1363126618,1663861182,378195402,2599507720,494206704,1209637145,147726654,649675707,3120133688,2914775226,5431811315,4251995400,4346894616,909219534,2244835205,2981722996,7165468719,5923959147,2063357093,3847367032,362766324,4225140160,8234520111,233179788,2102512840,1057997787,148967020,3481771435,889988134,2645611024,467617995,778882149,4566816732,1031586753,3774012650,3735439116,608932328,567401427,954129702,3360755445,4772955205,60741465,5499329931,2406755568,69273930,3514602843,1067208464,8030230713,204349746,2330593176,2776508379,1455018502,1433621946,474860926,1866642858,352433255,7022623545,2971526608,514190751,4324078310,4816886575,4957575651,1265252032,2018048049,675002274,5889802368,1215212404,375115941,4222382504,1195715607,1266371739,131017124,1319292170,2227174617,1754451992,1981562697,2621789862,5974531680,3852372884,4646496762,405758180,186106414,650622168,5399010477,751602942,562832390,1379670475,335159425,976071492,5883349864,4938726910,5272078074,2649246275,2841549282,2407721644,4033496745,754651572,1083451594,525697554,8196744618,3742211511,1863546860,1690201170,5628265659,21054450,2790651102,2068269848,105282699,280314225,3195046775,83050740,2358415385,6932231838,4040802090,3273139560,4087228740,2273881432,19654326,3552810534,5195113416,3121972400,2160347748,5593155344,4076964549,3276671736,4817649775,3021657940,3563603617,3005004457,1739271648,2981792082,3533796765,935009460,883359081,645170598,5620232975,3777227244,3491859995,401695212,3603724385,2277519695,1045549628,3869806344,2374248228,3981464669,980992790,3201792228,419561217,699698000,1620155670,4352469835,3059571992,5584986407,3027369726,2969825192,210728154,564650812,681078036,2453169558,3229765273,970593230,566061348,2581215550,1643727810,842657571,2516994760,1854014362,819702459,322299585,454174540,2861728734,927745940,518961268,3850595406,780032626,3817002960,2363384124,393568483,1859841003,2233534770,2065547439,225525248,261635780,7669372688,1039114362,100302546,2722288341,374533102,5564563182,5691512771,36684935,1201123581,2000221536,5207010504,658036532,2085055132,297945450,5762453627,2769027084,5790301909,2318709352,4458686946,1292737860,2444583632,2570867982,561118521,2475656568,1002381669,1627625739,3530855982,643995554,117617976,3571620648,5619704168,489802478,827938828,395598730,928069955,823899996,14066392,523372089,4636148500,1107466506,5879613096,767102475,3564581912,887513746,306229835,6818003220,833619794,6802066250,229507176,2872629813,5406925672,3581411981,3738120220,6930478314,2701556235,5825018880,3812208565,1036528236,3151864470,7806509760,6060039273,271307640,2127864162,2271023022,434063363,559697584,1077423835,2445547069,556020201,309370059,634641927,470187683,2940834585,1914863671,225526450,347195111,1296296324,2906649072,3022871650,960495214,488856405,2701187865,3468659031,1177020840,1870210922,504181712,1077594735,436962981,5040868707,954250454,1103814655,1910310438,3502849752,6722033814,648689391,2543400297,2785107440,5768374656,1405444206,4521271416,4796787569,3694174749,2516797695,2214781681,540735768,2375671080,617515713,660018262,1361468496,658873835,3229372080,2594136501,150456033,2022895413,4217330478,5206826352,3219463304,5629892352,6028361171,2357064619,6261143896,6487204280,250382297,960890590,5582797724,7534969830,11681388,918820186,7395442362,1293757828,2751810464,1342494800,2099261970,208875708,6324278211,3719098082,619078659,3983446744,2763413380,1671394800,648748136,2654487129,110658274,6418476260,1645635153,2665238952,124113191,4411143954,5900803590,1312072389,2659497290,677314400,1563747984,267536556,4846185840,1849826132,918129747,2172081568,2937418953,3964380882,937164731,6780508088,2664626448,1247096328,3098438964,2186460918,3376121688,436404024,6654083716,3370350578,497528289,718731474,1595027310,6224233736,2124579240,5042920272,618316239,6259606948,968543059,3716896428,4298699240,2217157464,6090158284,5537740411,3378453480,716662449,2048325426,3297417025,211094360,815499557,268381042,1276157778,5734019410,5869331148,19125015,1510021839,522845087,182921967,626819715,4821467616,3097019736,2467112652,1874647264,7486199424,4112397135,3655249024,4479992392,6990676767,2912094608,638453818,973686301,2114373008,6598365921,869672038,276449988,77617736,242749501,3647128072,9359180,5605816740,6197667672,3732277724,2826920120,6151138245,2188671672,3839219027,1305575280,992188453,1971498872,419276382,1232225540,3258162440,261733653,543798410,2291647631,955101722,4849338294,507414235,3002988163,4215587337,3723786930,3579485346,970918527,315108064,15054784,5174628304,1896065096,1985660131,1667875098,2346100173,107529582,281671896,3638192176,1412098985,1300752768,5161173850,4831556920,1027299780,70654305,7841533424,4972409724,2664806200,6279724325,2965709848,7120281000,4154138145,1844282772,8013998916,1043313248,4690957338,2427849225,903871416,939635405,429118412,2934092595,3700138656,1655072884,3831183672,364552633,486380894,2763297200,4169372135,7793898368,4939669206,5696793288,1372558562,524502932,4043123568,2310731628,981813111,489736341,1693313709,4902536360,408077050,1307168114,3831599534,338569392,250446283,2663385090,355280340,425521136,1546558811,4969625640,8065307628,345588234,736041720,4195719388,418993452,4507499580,3259983960,8361626895,1366405458,3685246806,1126451914,951912786,3075816032,4253060334,2506626666,3875023194,8246373156,3374473368,347211450,24588860,3346832148,4564934368,748354181,184141884,3522739645,5097215585,1971743496,1180225728,187365200,372139844,2994077420,14689068,1987135306,4257601227,1364021778,2127731544,6312978217,2657067435,2659608642,1901308428,1980168568,5589147870,2089956032,7649772930,666430550,447807352,1241338482,448335508,711151755,1000455576,2420590545,2605880814,760541439,1780169902,1361232205,2707602081,517662606,47178496,175778533,1858486311,552786026,6436991981,1600233327,1915062264,1321700464,2977000497,4164801718,1642731942,3718772575,1600453554,587369019,167489868,470836980,842697378,4881206584,3070920972,2417301712,1365906334,7547347467,459555514,2900364432,329150835,487219210,1363629624,2853461745,1778502432,2622811980,4285471472,1045820700,3923556916,867417556,1027498014,7747715616,1273450451,311872554,221842426,251361624,2853805535,756255454,210348861,2878385762,971361004,948420020,4512059826,2005627920,884576676,62415724,1172095713,5880413670,701855280,907230138,4530159768,3968812158,1106211189,505705556,1972732664,417978870,2116284891,2273279272,6460133640,1429377384,922613826,1762615692,2613331305,7154884328,5499208358,183141401,749398160,1205315065,5394266297,5265202734,4086287646,2018949402,2881340412,506951022,3610753704,1071923664,2708119526,4880592913,1490270070,3192335300,3254798405,1131023369,1791003128,142496599,5149621122,1537924332,3609420600,630861250,2371058469,583385368,3096018102,763274396,281462592,1836584064,322522778,7970760624,2050477131,1198862560,519004593,5763488103,537842786,1004263413,6202751016,2789295060,982397268,3823239665,4340599635,4182876396,5813560968,528653572,1705925417,480019608,1293301228,1342528540,1989073560,1268094090,1122670992,3194785269,1390084744,697917751,744377988,763229816,1014346078,6443334,2287247280,805108135,2058994510,1482154382,348031827,662038992,1709622570,200794576,426558898,1130377250,399466132,1670792185,3763773531,4793055894,3021640062,796795576,695668152,2897661604,1090267652,1414321020,4991462556,947569682,2988739134,4781100996,2560706550,2952971076,344915690,3602582832,5078558528,2833436496,4797265725,1231558329,6326968284,461321811,2395282767,245726717,4631710890,159777444,2772525770,1380345608,559170056,2001498644,2687719615,1115246580,4480395800,127680732,3307190929,5322319362,3648558110,1581748294,1477275620,3604250512,5237451051,592565496,3961039465,2418280767,5179689914,4355068980,2400854064,5138508305,5911648047,2058240510,3253924955,1091272852,2190435520,4807690984,4825154430,4132682682,469163038,1617114080,1724756508,130936600,97509087,8505208872,455161239,1770211278,5805745992,1325402436,6451197568,3733331216,4549026104,2519574897,2853826962,828054632,1674390126,1038177960,1064798900,1094269366,2619544482,105361766,681972068,859547631,1661603793,6219587000,1130324296,4462579905,8244456714,6317685024,3769584388,1717208048,3489737712,5375481480,4153780856,591164655,1472351515,4129576625,4451021800,3556550116,921596405,3568284666,2889056931,2291781852,266660098,316257215,6520875280,1536850425,1816952301,1527036255,354720353,6847478264,733150833,8926366698,108584420,1002296600,649466200,4300751456,274335996,386801550,553716479,852259848,1695574530,6613821676,6443767477,395534138,121005444,2087957468,3484152084,1736519785,7656694974,5324213232,4273058005,787138180,2630483406,6153949170,810614503,7570913880,2952970720,323133032,584157595,3488130528,460917378,1167622776,3104275286,196488480,690652929,1470760068,680101166,1136486136,2026158534,3646277384,412087177,1480323159,72986785,7175377536,5510726585,7177591288,1904353326,702784876,523803936,1240085880,467874068,701366452,7658041158,2958811860,453369670,8421236631,4480413616,3774669800,1936782886,1503699440,3872882480,2220650472,512804256,1056433419,1460354502,5658498032,2399996463,831211440,5183842041,506867681,2108723090,4869780090,2842746780,1306966956,1590817420,317460044,4405555528,2677282368,898994121,5412454152,2308636556,1591360870,906429405,296685432,3358511004,3818475144,1976959648,702301075,947690928,812307172,4997706980,7433917191,7887164480,474484227,394600296,1599771474,2578981725,1881967756,866759672,1066888300,3856301226,815339040,973183088,1136488592,1854085206,2382916204,3003116440,2640558752,1451712464,744007986,1657771560,2433343360,522342448,1741936294,4656291417,5581488220,2636562951,966009054,2530448648,7324946536,697475160,753745552,2015305956,2375498188,5391994764,880097511,33248942,198646739,616013043,4194133983,2669337760,1481723682,1613990252,1899109415,179575937,785345544,1790687880,1201116254,413223040,4579622445,3844353368,1961003096,1096353993,753486812,6913867499,1860664652,306825590,6490630972,6036562688,473714566,564326994,960947640,3980017264,5179086544,4920122495,3736765976,4753915728,4884456096,1576581245,1302402102,1079914869,226604226,1521949185,1117999576,3968934060,2233406994,1601155516,1990073673,5709953416,1507048488,2881716220,4759067555,2807451843,1628612706,1450543650,4380943140,2137043865,118405292,628989046,5307509448,769280836,714224577,3314227895,99595375,1673978742,5053374844,4241151190,5517012151,2774800180,2159290020,2113873715,2824585120,4375744947,829954,760927324,7450927902,3805195975,2527016080,207805912,521679402,51561888,629575057,1753352010,616306608,583175966,7350304932,608429450,6042301155,91830402,726144321,723364914,848892030,6272065597,4614230580,5805997674,1480539522,798733410,4314291215,998051450,2801956360,3643472682,471324647,4787828328,3697431078,136920664,4908844656,5901531072,6203776736,6700053056,3410198168,510798465,4605757016,3281397990,4745381346,2904532896,5130640456,236274650,791764443,4475954675,796384490,491222298,215781244,2048417478,1566417424,1559674790,310264280,1152649274,478869400,727909660,235067110,4422184515,1032836144,1065617124,1426212357,712428884,1832043685,4593305604,508585579,14093314,1553373662,5240241366,174632020,1405792292,5431436640,806400846,495131915,6384258918,2886486414,793421384,803782278,2390432328,3868846854,5020926138,1465433960,1112944200,3385683112,727488783,50838822,774111195,3515907890,1918102942,52336294,1644530259,7626775656,323557382,517612644,5601742748,1175523272,3949138017,5654467608,1485804262,6715463688,5448104599,528667116,2503194606,5436108972,59315107,3743977432,3034419984,97832744,2063573973,2732446975,1198681083,208135395,6511236522,2688260751,2905848736,1030954054,86016778,2666001249,6641312895,516693016,1496462436,1955540544,222097928,6043335516,5382798366,3027444469,713966727,43003518,438392922,1792053009,1980264288,6111214182,4239235800,1263812181,53476094,458567400,1454988162,4803572088,4324708150,2870362974,4268361650,115860785,4336013875,2314022976,474540544,1301112456,2300847795,852956800,3533649948,738917595,1267755330,5232731568,2301433659,4840135888,797778291,2863298459,4611858032,556358025,1771327400,6585976998,248195929,2089667910,1431726314,331285122,677840512,1886978782,2924655918,3803501790,867030381,271319595,2296981710,111513360,68729640,2975252625,172006001,2697641454,95629440,126496728,4364668475,3873030006,5516773688,1087055007,1226170120,690949312,223475628,490242188,2844097018,371985162,6922862821,1845821280,3688656032,2461106320,3919695996,3244317775,2229507402,372905,1502570360,4668284766,5406256494,1663807230,3866767356,220084660,1842647532,3141076240,2199480804,1737392128,2958458784,3686480864,2045741805,5423173832,262382204,345280347,4343932472,96409520,7373243200,5756383980,7930948680,5432566581,1716520642,969665472,864248750,7847774344,1067371338,1810899202,8801131914,483167379,733519120,215884044,6673090149,1694711664,241867191,2534152904,7749392202,47454288,2967189608,687455562,2862264992,6586979973,862869456,2875388184,641672767,728802628,1271972905,2824234200,1653189385,1879980683,74506782,500803048,982622031,3368846476,666580800,1286843789,1866032956,365122936,4268921395,250768866,5867206712,3866754952,6811597023,3530817871,1692931206,6566436856,853049793,844692653,69207704,819268562,857925890,1864141580,6888277880,546149514,839701374,2350057452,3659358968,398917566,4340991144,2895889740,612427588,2426856594,694265514,3257072888,353461545,3329832904,911484456,6415252606,863215392,663118730,594691298,2450064777,1187159988,3390565032,3760369578,1396258876,2167021252,3393563046,1495706639,2506281276,8703640188,4049527284,992563026,892895220,1843042865,1364906400,4388593644,1287072850,1056924010,5584516668,6388910376,4130564286,987163200,1297144418,2988229692,1109461912,748179955,7996179872,265412877,2684820685,1155593444,250275894,972861936,4070850150,238848636,732883647,2827192530,3646826141,278681078,3175765254,7645147848,2379571434,418771348,4057096864,6722252992,4410261054,213094942,768031758,2074714070,2849509359,1242670464,480054988,1499718276,305838872,4888836258,3805446318,203750904,851669574,2132502267,1941369236,324093780,2207851692,3240120954,2528280594,1701714940,4603259056,6333182901,1223327651,504329977,1457114148,2621417487,1532335865,3322212690,1041997047,2919264606,3658157844,5699993831,230054868,9533641,408529940,3034507072,4186834000,7831629558,67234792,857632805,2483084275,7891324,2061593072,5956510712,6337278682,4710769260,1766791260,369694408,1293940712,5042614836,6370617069,1406968508,526074318,2930238726,1040775714,522101018,2087286981,5236198625,6320287332,1438342040,1315140201,2493423237,2673984264,913619872,2025234660,5037910059,106867465,1418129223,4657762680,4166123112,2563519952,858608468,1766612442,1074357183,2558479133,2928992235,2368613604,1473361816,764675846,163971392,5456786562,1969342682,381800794,101126123,1221119070,439584185,4378452435,3239098050,61304790,2684760507,2228051750,2726438585,1218901956,350739272,84939795,1525763252,715789638,569620227,1288219224,2423240180,5116452344,2076486517,1997233885,4903507140,4037107617,7942082928,969936384,1572428241,2290414304,3299318630,4606258685,1775417388,937679740,2848002933,443670461,1149334510,1423790963,1103306643,277686449,1299893688,1494950056,1507088178,5493941960,1223154740,3332474360,145850266,914495120,4221799005,3104518728,1062225027,1975340928,1837545678,4053707580,1983185160,5368666056,5410808487,536610897,5412378456,1794374784,895826575,1429753860,1243414050,7954906833,1096792150,3982813776,891344872,4174344018,246906097,122872485,48472660,799887214,1696769640,1481715032,301498944,22838928,1081060548,2909258808,201508143,6012702000,3467187112,6621927123,1983767658,6690260440,5752534458,1160321280,2511883264,824102217,1514261160,271335952,751352698,1477708176,1495400118,1248099516,290861466,2815054976,211025928,1514541372,818237310,715448944,232591332,1883267155,3687229386,5238675588,1174631064,52789047,4404892968,4011949125,5011705629,254997207,78813114,3736328270,5417419752,5881253408,2617513596,2416436162,2954668984,3291319520,263640370,34439150,2892358710,63317945,1036643222,1073301110,3141412424,582908607,1276274070,2391065214,3120548360,2977049285,1432998576,2015751360,755723448,2493499052,2528072918,334406430,1023174720,898070823,2743328504,33245304,2271666112,18179357,7066817001,5137847163,1341205614,1978524786,749561820,2945616030,3989226520,4416301704,2599287425,541452787,958727805,438107303,1352136210,1398662670,2606386560,2324160921,3277966032,2430595405,1219214847,261500811,2221465272,186029009,1464838518,2168137248,1794556602,1847565496,1049236235,8104461714,1284268977,132279434,2414257075,3921536856,1983996555,2606386461,1425728440,148197472,1869790116,622542434,2711244912,4977938130,292981470,1307594908,3184930552,2696048016,2994296864,1533046930,2508728004,5602116267,8041559373,3869334858,251214556,4426502822,1733874936,266563020,5192512752,5054691872,875414291,1516666380,185136309,7983330304,6568340,3833126812,360784188,3996441655,3981922516,5387975364,1303246656,3354930284,2375368528,1406200232,2778559928,847761710,558003157,155000365,1584220112,1008069624,476180547,6582419851,928481646,382833050,935988006,2810692040,1023450264,161814375,167454736,533390265,188307887,1222898638,3781560768,2788431476,106918470,5486082728,3662600392,3536648661,2520634360,1213776762,5903659962,2560965141,2892447246,1638091812,1230351192,6949082961,1859065222,3625401008,6835343464,5574382875,1221041495,1470173598,993224188,1564578762,1256662908,1141572240,1861723182,364833642,2382888798,234643856,1944202332,4083904962,5267468202,5248539720,3547799544,1376974992,562337358,5862844212,2547631020,1962904281,1280307399,197993444,2212193816,35812836,2943059450,252097144,904492638,2529372615,451763399,4199194284,5318671414,4302883278,926306541,3407393630,3496909388,2534959330,819946310,3568918436,2452298305,834742960,3625333036,4847870426,188286606,2001978420,463885173,865674378,1325732312,1133536152,2878072148,1231078728,1116081924,1735565978,1550670849,2450173788,416188596,2160694430,1398876714,7000947280,964374922,151619396,4348651592,571186074,547605333,762267127,7047862632,778589325,3302796964,3623417346,1266599416,2948762208,7847141472,47903452,4843870843,1859903004,3075730758,884680,5843430467,1894891692,3142045176,5152273161,3389178590,3975931352,713499448,47524609,1889107248,1906190586,863538304,439836380,862059356,6584962671,2451619467,1155370293,2956546314,4092569667,1628834439,3775540376,933209632,6269568008,3933237408,724946133,819693456,3888092120,5789158504,974124079,4547629542,4619911035,5720483370,3363939840,4604382310,1483976684,869094582,1048536860,2960172747,1377161400,8933841387,86682582,332906098,4909075800,2979240234,1078212540,7838656472,1078976886,1758751260,403148268,2527810008,1515966344,81722356,1495188315,1920009192,2499284308,220861410,3231729221,193398114,3547654768,917823600,1382640165,495310623,2227396012,1804002576,496293880,3174477635,2780861277,4964994297,263409219,1556149876,6423153138,1384481096,554307254,5214728484,1287805060,3908896148,468990113,1822554090,6434753598,2023686450,6252347853,103798605,3483759461,1739590344,3501724816,728959902,4006255770,6862670976,739342692,2819657632,7707239888,4604315130,6161690185,4875033300,2675977936,610880396,1398137301,124682042,5081219784,1714903410,1617408486,193933065,532085798,861443730,322706202,4641620543,1145363496,1115652288,113565618,4486425300,1460310664,731722640,368250882,5113788281,2265724755,8002374588,540455030,2732300368,3345847209,114638908,2916088400,4139899302,5510337546,2719310247,707409230,1113705144,310257687,763660104,804569980,1954492522,5265421756,3940545126,5258222856,7482030012,2778358512,1176993470,323687166,2013061995,6226765296,2663832577,756798763,2126009508,413598472,2263758228,1635962853,1969463902,3103811354,2128989051,2943635615,457558485,4767898236,3330979312,1660924758,718337504,7600473846,8586117252,2201893089,4509784650,718730507,4801208648,1157175921,1615813293,194218684,1666168668,3093792510,7791156972,853536400,201389346,2437530210,2234149248,5924795868,5177208504,2245914832,817878648,5993084070,794974943,4259965176,1028660376,614557674,936158931,3126120490,1075729333,2849147910,2756264424,3175957494,6100215496,3549406686,255237547,1375568172,1606464262,7410504344,6968216367,1536818247,688488136,710604885,5935420344,4174020438,1270111632,1661019459,5022505852,236015176,1464276534,2478626408,4753675272,250586638,580566190,4951901575,6566920290,2166280371,4032079980,2896913964,889457557,2086505712,3550743316,695487062,4004722506,872938486,367631018,566975871,190774682,943344756,6827271962,3152542624,2846465865,1760801796,2837508976,3691755325,6619109154,3885054110,26288541,1056814110,4733903304,2213992785,3082865364,802505979,345607266,891713538,570827044,7282833831,490121602,4961881785,1514311324,4769532726,67528588,5661641148,2840813815,8983904058,2514216582,1430948787,331371088,3390121028,8936719722,975224658,2299382288,551320578,7081097112,5797656032,970645824,680267414,556949624,2139936960,2543264715,1218697848,437298084,2180133426,88464600,2146487214,319214870,2218407855,607848896,1876558218,4837933245,2386379590,7162470288,2731835565,676958772,4052579370,232189560,3274169250,1385258060,7963650624,5039910176,1974095613,6644850507,4083508980,2392599755,1367776046,1751661640,4563831744,800556186,7808911020,3357645172,159981471,6594860524,1845398898,6974037192,1455645030,3372088592,1418258214,2139059214,3947379984,5579312151,3037411668,1553169702,351196972,155788540,8157832344,2666691620,4019402514,742251220,169766787,861293016,147927996,1643358866,593964155,101442135,6831031176,4234091545,2393411321,98924448,2104077437,88052535,6710327840,3926839650,1309064991,2594242353,2043144798,52428615,4752408318,8842499748,5923584696,1063594942,2560921464,5532101424,113921420,417129236,62856609,4013843094,132008065,527207318,836775771,3982356775,4258557163,4954740830,3772564156,1599355800,389243014,92702817,3802039560,2352893112,8489028672,618861088,2286099900,1024563906,3646806660,7498210048,97718392,3963047195,1651700463,3244181424,367842306,1957952864,1514198640,2560614765,1562659980,1124280720,1845874284,1754429774,899315465,1529329116,2921605488,5753594151,775118275,291025971,972037360,3370545850,4785125180,534773565,2009825104,648281142,329597163,52223460,801336016,1251957896,927962508,1625292968,5677929378,8205001173,5739184388,512086274,1980471148,1463066558,4290385736,8352077553,556630788,54180069,1637452446,1188132195,3977115784,1358472822,227871203,2235910173,2151764408,2584989840,625553468,2349724752,3251469240,3821540940,89636531,3665502638,2394630203,2297583892,1804478394,3124599172,860607194,1615692896,6046878681,3726150456,573631004,870323140,1979571680,1408331142,6261679074,924583611,3689353280,4847807188,5411631664,660567840,4503985857,1244495808,1393737522,522668433,2281162912,1585930311,59689415,313732035,1464552864,757068799,425022564,718086212,252038544,5741989064,5788741074,2835132640,1410215312,389962732,3612390880,2227406340,596931930,31318230,1947225492,2827284960,1702283204,1975568760,1787962614,1137426788,1325707506,4950904310,3659637247,999248349,568521400,5285281236,466677756,3465585344,162672147,452720442,305468436,262600664,5595561486,1558273008,390881393,6538781544,642301378,4902608960,3560689328,966754448,873285093,142265004,5652171032,1273061620,392218158,2333165115,271661214,1563558644,900361748,1291387736,4512609712,1360840530,2227056573,1385124884,5586126406,2626524184,2638197793,5549889786,1721227806,5959110264,1177691973,2103499488,5642238231,1925617050,1391756250,4166706845,6250611648,1802957166,284033070,121384868,2897457140,294950175,892516536,1357076635,1745320308,2741528416,192628986,6424804656,5954550948,1244317418,530232164,1596887282,1684189148,1699282878,1146641517,5229185992,6900506952,701171657,1386600771,419961686,812289416,233857880,7486964127,7078526352,383071857,4854869850,7684556616,271075244,1059032338,535424676,2398286379,5890416108,531313704,944675772,1096397128,2123320206,343086308,487934271,1694828618,885596844,7076432790,273321068,5895448120,1343453382,1427304310,6310808385,234872674,1840799631,821663896,3624188310,738230909,1485092046,31562160,8040950514,5059389114,1308999392,3429995175,2665621758,244060830,2182044054,575812544,2449754064,6746374978,570765936,343897999,545533768,326768859,6982625937,8938617,3021227820,1448960586,2122444320,2823148576,5081347080,190743651,612748095,689937429,488748300,1178700612,13239366,920438433,4396430166,4185191216,881986350,2367405186,1676794224,6913901869,5596528070,1290660354,4397841819,548065604,948717030,7290181792,1099286825,2071084212,4123012472,1321848372,1060881972,3164779224,2150215408,932764134,684611855,873382668,3993531905,4912420644,1226929838,141321607,2533487636,138581562,766579954,7462781325,324952482,3669648264,2763866210,3672803796,727972430,3004948690,5191520272,577406970,995749770,845748414,696002200,3913801335,4435418200,1735215652,1674741124,2020217110,810166378,1981360164,585090648,2256900900,4143666960,3308784795,3983534296,1831154982,7288888941,212298030,4740844360,3883972036,2318087349,1656985704,1435440627,6221192104,413074518,623860500,280486179,1279500788,193183222,2619436869,2487659658,3263072760,32745790,3721847784,270427136,1686711988,1051223694,4957774955,2353395235,1442673570,4691611856,1887775740,848927110,160415072,366481238,3721073733,2120048271,5477783094,1818635560,1631710640,3921632595,1667999151,326439450,5348364203,589134964,2862028383,3070863536,665885668,2560654737,5856011109,330158496,226862822,3520429640,4136674695,2064487845,4971780085,4954994030,557661795,3390206575,1591666911,2834456043,3678720003,2985167969,989479148,144154414,3660282736,1978941969,1612414472,3260183647,5644211616,3469673424,128534673,1794768866,4173009777,1142948890,4728113568,1346662552,3888897964,6126505470,3976041732,2265631938,4570954092,317345515,2701179145,3127865032,2704979322,1179309384,6620379704,4836861520,4975360832,4098576285,8101204875,114566754,2399521632,4005347406,385344417,1869402488,544787362,6893037192,2408063049,2651046423,6305012442,1078982568,6341296365,3297603060,4183102098,3064496375,568423450,942214936,398075637,3072062628,1963086894,3867049476,425518380,2488265760,3684726968,1120746960,4985575854,5905951911,1116990498,3765090216,967009521,7839122427,1835661522,1326020874,3425585968,1930662384,3813828656,775758582,3571998288,826500583,1562021744,442408960,3972089790,6408139896,6250605018,1798577716,2331160528,291005208,832502580,1015473138,3260701535,643620844,1364299480,1397927031,608209372,419868874,3876980830,4772811440,6468902536,2732142282,300809358,5626330515,740998554,530259318,1183438266,6929292114,365687286,612467337,4664060216,6490050987,5768971404,1116650688,771375894,2405494041,1277182992,273069834,649401206,54293940,1612809960,3639746394,1121658515,608527708,4958315700,108927446,10803168,2510526055,564210655,5444241944,1830988872,1585880405,171860480,919403128,3714752900,774058356,108974027,1913076854,5564957685,5494982436,1995646048,2135784035,5560428894,697873172,7782397038,1557271212,2712193620,4214627050,942113382,471786227,3469665015,7838935960,182614052,1848326854,2656634845,511013160,5374467600,301184583,811375624,2392051320,7923852128,6744984687,65460219,4569349675,102392274,1692281976,1313273148,590709250,98404895,5030742633,5622175531,5017490934,1429358425,7151883616,3890490024,2303440545,809568555,3353305062,624732240,2863851045,2448722318,413264756,336605963,2957335800,4262371344,5282314182,1986317195,478567901,5889372872,29688861,3033554145,760812979,5043011015,1075384119,342959635,8535247704,2335244646,3282796695,1983057340,1161542076,4856160,869315975,3579120672,2375679320,745000069,2867553765,2942330610,889369368,996398282,852398885,6677716346,2902086868,2466959016,3232398475,4533810360,985092885,2422645410,1185370774,6602224568,3927765060,2555211711,239691832,1392829152,1550382435,1830680950,4192890288,1881270792,507082098,7018097634,1248838175,1757383230,9685797,2264886237,2066888640,1184488488,1356915596,597938900,5629239920,2555719170,730588278,1054695131,5769399232,552251360,410624383,628220988,3619286096,5805100644,20055524,7013548520,3437535590,90523935,771032370,3714722732,5090345811,2560490430,3524968920,6799033400,2517644184,3414716754,1103643416,3788838776,315852140,8916961914,391816609,3047520595,2849734202,316295952,4737559376,6110221230,607761016,4805368,3916052217,5526649000,1304441095,587069808,2445786948,7483249197,229351684,5023278400,455467187,430477386,1452361788,315127804,691807200,3728716816,1539952116,599129803,764070111,2838732444,1172528667,4509392615,7667970800,1897720300,653485704,6871089600,4179953780,668946342,3913409640,3832194180,5799228872,1782157509,954009225,7710691248,312143460,5420440907,3143263588,405321742,457772445,7610644840,2403032232,3346814268,293130531,1334757704,7514378973,4071105864,3738850310,4719115680,539004550,3209157,4537633890,977343768,6525400371,5996453232,1562504084,6188131999,2731878030,400620784,798931539,1869105834,3961306144,934840956,117691191,4330362928,996936297,1541382206,229973728,3959787784,212188248,3546346530,3602549832,1296986136,377294832,984957515,2761012404,2222039430,5072692793,4659237270,5928713763,679523850,1077485001,572816694,3073506756,2102909496,1881050510,4899045450,1043917931,265293590,100594257,6791603776,283798221,482731816,4548645032,1301011076,2875218016,95279768,794071524,568664163,921747437,5903488962,1293610925,3304764148,4567571925,1922349016,4991410650,928809750,1070274032,4350679974,3560890556,452308920,5852883948,4511604111,977049458,833072600,243435600,2672221300,2708007750,290100456,6930685464,335090287,1320163338,261884702,727883743,3196025922,895023130,4249962515,1195479252,2172654050,598860058,2784428355,274460460,3916227708,376738260,3992196336,962615400,3861133756,927426796,58197426,4949031997,657107628,1365854805,4545704639,2426440732,7362450960,219898168,3779336477,929117006,4165459025,2331202194,5832328194,505040382,599152716,7172020048,1192115296,2308666806,3050168009,3486312621,598045585,318069690,931643174,5304683970,2453277088,3024312996,972660565,2732169993,805724859,1224068070,1040917398,4012691030,2111153051,5491871784,74824719,712175624,2088631728,467651853,7241077240,1034276072,6887115320,166199432,6943071170,2720118120,2566905588,1984875501,64829925,1555274082,1750908042,751649122,3007992872,1722933748,5889375849,2168071150,4408652199,1765564536,4425780495,1443728580,3444633318,7621202144,6934144196,6966813623,3522273215,2250650788,664105482,816089017,792181362,8944663437,216769489,6707602192,394508154,867035976,1604657280,6795819135,201906252,54184104,1629306818,843837258,651032778,4721665865,36691432,44187519,1174216304,5263944448,3609309636,6724256448,243519709,283741836,661532430,4424127108,1547424162,772842511,2701145133,1146662524,97272898,6854195412,2150349560,54926345,1297762572,916511649,6150633885,6630370176,1721473848,2347695918,4735989950,4541421269,4241770120,250124204,4956837174,2773224213,3873183041,534858220,3350158365,206556276,2528059608,393981081,1013301788,3350949530,58522489,4510537344,5210647227,726616841,5619594260,1449169522,2792183975,6068454160,2675498796,288129443,907120828,4900324764,3877512592,221568757,6972597079,736403445,5386023600,487696592,426969645,444446537,1292891998,5820703568,1225610705,5537529214,2438356595,4664007762,606338297,1768836210,4150041048,3052982241,3019047368,4122055704,808932912,2106482550,834385279,191496520,1144736730,4044930948,2244430116,5087686280,3525131470,1255469348,3112095240,5159121219,218346260,4926111312,6864414830,2557687722,3974181540,2603299332,2242602425,5055133818,4941226710,4091692,2301390576,7615162040,1763448610,5575150742,705351651,2223188748,8819513919,3988970433,1673993564,5599285920,7948239792,4299046794,2991086232,4707522080,4069432164,413090264,1431088490,4692554298,446761984,5074121913,2724953052,1184127850,1828915720,5921342028,7968515424,146612268,7291176480,3190499544,3011035380,654300052,3539137448,1171560986,4270756644,2999549700,4711321820,6369387689,490782035,2669747805,2382091474,2030221746,4255608656,7430437359,5097484350,2990455260,8406619209,6152535991,2316549468,963521141,3107214512,409068364,2062277208,1918313640,913484082,3818353856,3464831344,5879896743,6243092784,2836328404,4087857064,894767348,1876391824,1544207656,3437737716,1887472948,508559850,2558906136,5240969524,6148910908,2129759744,6026686048,6197807371,5057158056,2226572670,413826232,3562246036,3876191973,2106951516,1216935981,1912891626,2332059123,1795955378,956883929,101784988,3500300995,1987936206,6620294295,3048629305,465572837,1006469091,165803014,964101338,345838643,2723097228,542914779,816893478,113241681,953118795,2284236435,4519843575,2064666432,252243928,7795415904,3194391108,2765823568,3014301900,498937719,3223094938,1444237280,879430070,1380820182,2156221014,376542940,1720882500,743803974,311173520,2225935491,2554435098,6420099,5785178294,267595620,3339049160,5815685598,815286149,2724117174,1793029266,612627160,1181950588,6710365032,634052695,1152954152,1100432275,5442952060,7809965496,2929020552,2283265638,3919258528,770722934,776330480,2177268090,2071198764,2187803008,4495996830,3456961864,1567277340,5286328719,1391685020,601744774,6981046872,5983297467,4820055066,301932462,4945526385,4654803525,1026110868,6320294134,1817051076,6702052196,22050174,238917980,877695542,2493377370,3006336885,3600670040,2500063053,3917489219,495622784,27037134,6804014749,460248885,1549717424,2024138185,5665558134,3875625470,246902787,1889769282,1117662198,2737914872,1622149023,647702324,275323902,2442510432,4370459600,4124715665,1487987424,58463653,4712489550,5737255760,6406402904,4069282905,3234566909,96091292,1256854955,4371170706,3984919080,640684716,4946592342,2777477196,2757424572,234347120,2162954460,737409378,969605756,2374543376,1307698086,3172185674,3330458115,3586429510,1285703496,672045343,909161982,1520523288,2966577380,2537960868,7982164248,7545749211,565833980,2542493985,1447464135,957928428,2870776764,4592662529,2737161217,672335752,1641607290,3201039390,6157294002,2234928367,583468497,2450058708,623977095,253933146,4655699541,2962771248,706627339,274212386,1895855694,2005296020,1208667414,180688413,375311048,1369591974,1520927001,5441120898,571046292,6378701688,4331870,2834740840,2525543070,1479836276,6966254659,3880254175,892806234,1578234888,2356193412,195038896,4618872120,1112050620,2908333256,625376097,21279467,498787700,3362113348,1931488920,1897055455,2744767893,2014440984,411470659,574956787,5746705083,234106504,2579804883,188919252,7814648997,575134818,1221845630,5750771040,29548134,5578446348,8762743953,4111636401,850384287,392334864,154791267,3786399320,3183326210,3743720766,2830205224,273229102,1589985092,1196501964,807314490,1523526422,1870533932,808529746,175114920,3169311744,1678265436,2818652072,5473382572,175815018,5991071840,1637501146,1926853384,1964366667,1464354900,3876827568,528155943,874585020,5868317472,3390873183,1573517330,689342466,3656435400,919549488,7932891015,2960691045,2226280428,2675614704,904787853,1218162618,615573708,3360070014,1157519055,2339106525,738787977,24226974,1415942990,5537148883,349056098,677375237,3676818430,292727877,4177060110,2951166828,1613558338,6599451519,218472697,716231774,158398103,2612151944,1164747278,396769308,4513930328,3260293686,2900548950,1129458108,1759687398,8681599665,5646161944,5459284449,2318449895,1439223068,3789265616,5947284132,1613750182,402308558,6941704440,2839742150,2290236408,480397496,783374507,174565115,97415672,2193012594,313895322,182268469,339892272,308469700,3163088502,148486565,1164012036,4971266928,92379312,6311041079,954202395,615336060,628688072,1979702228,6445399863,659906499,3097712992,2363316384,4403790198,462090654,684724284,6794016704,1777181948,5286373452,986815150,1820937148,3217165865,1459111956,35520939,76146443,1801518192,7107897832,1665928788,3926390104,991667711,3485026139,838971153,2956842040,1185143732,394875486,2879457462,3790578552,712386057,7256393766,5164471467,864697142,835820314,457099428,738033063,375274753,8884745073,5868194332,158914623,271260464,788082531,6035634836,777589064,5652647980,110098859,7579258168,2508222230,4634920780,2644069995,965459250,64495388,1362567995,661643752,3670303572,3542714184,3958252088,3148395600,390833474,640577198,65778342,723806492,188696010,1747046912,1936644120,1163300502,898632346,3170515460,75593748,1961746746,1985114964,503666734,1798222846,101442545,948732460,5429035242,433073407,1424264230,4819126736,229890566,8918658,2743981800,1834322928,4126254720,7864572120,589701336,3242852828,1387560876,1007423757,2750798708,5117332254,569406163,1364173744,3762562086,145903518,1081886940,2201508744,6650141944,1441784480,1872200481,515295894,1326644136,518466269,4608323027,694461664,4466796376,428527058,844388980,274657048,883226632,1109960248,1564136553,761010488,2434126386,1896827525,2419504002,836356707,1328812681,81431219,551109714,7556822040,539314175,5926450890,4978815541,3194538215,369275446,3344316430,455245404,2617806450,2068350304,1209765635,339137850,2822606442,8468573985,32928845,1641910242,1758085992,186705525,3398450944,1874625974,1720356618,393417813,1668814545,610689447,4003913809,5712906918,2438344145,1232467854,5875342386,633711248,2547635923,7795888,1993332820,1005079368,1653028734,6723507070,5654901763,4208221385,7485551776,2814357704,362175252,1593780,581231960,1386772100,5121561486,773741246,1490188872,4638170898,6030303512,1932638348,3321484146,3097709144,4923669565,6114968,6189090592,2865384039,1580432390,721101324,1095248578,8942938992,3881434023,4235710766,1869554946,2159983370,2648734008,198363837,3569834248,3129047700,163930912,1754248380,75906554,4494803082,771228461,665627928,112056729,2765997600,860068380,2584825456,2373764874,2446007100,911371456,3330564304,2899047528,460767638,980178444,862490007,2412813280,304830027,2573125513,507944848,2042772246,1365744600,2713241592,3040663300,1753067400,2072081830,1021631004,2753906771,1211637620,508899653,2239255912,5766545142,2680162144,349248449,1000597426,440095353,218570094,641515700,5585670265,2085907360,1427480528,590699669,6417530721,3708745464,2345973290,445701928,1900916904,2233079960,1036121643,756213339,3860845680,3539694036,4289702900,2509084374,77532210,58787865,1106133462,3085731530,1561285964,1513984884,1928102670,2278563295,4823414984,537450550,3608271975,5834233464,3138954756,1498862868,281358894,985028304,3301907280,243056035,367608335,4684437810,1055780600,1672757625,747045768,961491598,4235899032,29260830,762838559,628672318,3543740915,860851122,1661902560,4065113560,4976630072,1016123823,761167908,4660407945,1247101416,5418265216,3591497568,2728419282,3335312820,5233723576,294620435,164380862,977005737,1874833070,2464609557,3958374749,1194863931,2928454739,1006527249,3305767792,1961905330,1686654045,552147360,3513425830,571031642,3230657276,1146539295,1361474802,724498026,184789746,562466640,144942735,1965694284,700561483,2401523096,2297165376,3858492504,382605564,1007303829,632557856,3939318455,1471181220,4618792830,2250922554,598332852,2515266480,657862251,859947120,571220161,6020361018,1855785306,1020016648,4120653510,5702819688,4103867628,2144204175,3634591908,2771399056,2544223620,3682678612,422549844,189198634,3792794668,2522151088,815813620,1443020985,2094101905,704084142,2775111530,444571048,878075188,2568427575,4695101600,6002980368,3607710400,147291739,679612692,3677810696,826212864,677564260,694452926,3122104496,1358034544,2461434651,1701485206,859807804,1816010130,3985273700,2170175732,7410441632,3824274012,864582735,66637094,1219592130,1662286116,2602029840,1229767760,14421866,1905744205,4390556690,3014938829,6434501382,3665823905,4397697474,1562779265,1733588912,3939992124,498462100,932389608,381825116,980979290,4909933259,7530952671,392913284,549163120,5786323128,515068897,565293393,7233601221,4186965234,6210781976,1031867360,1880094856,1617247926,672680434,2862514795,5094316880,2193445602,298440398,2366414676,959059656,760320842,562863610,1943075814,921754859,914886030,1002582722,4005053195,231845972,850690800,5850457842,4038184850,2624934870,2550645484,8624904921,4790299276,4481623265,6491843240,1283015862,4570227496,7832563137,3307639250,770381915,1350294180,196692660,5991925926,61984346,6058372536,4303165185,1068161898,2662585926,1213268096,2758257448,706271265,517242321,883416511,4758135174,3076163672,917220631,4840355970,1715328614,2572654329,291714837,1545086994,1026116525,395729886,562487164,5306666904,4186024850,243628812,2210834262,2076729354,5568767226,1400162220,3179988752,816961110,2386947744,5473048584,217141016,63719316,480455730,2860152879,3647837280,1801004148,4860458477,4099881636,49556973,3903303656,970350320,160168496,2521948180,915353558,2499501918,6617239000,3276241308,2369783364,5300848624,42805435,2450635008,6215844978,498847449,4759867728,3195685087,6023749732,4666882590,3353252952,1264159640,3554491368,515644542,1111543680,2809229588,683555142,691273691,5465209866,1654278375,1504396359,6694133992,4200860784,774222060,997336228,4528168866,8776868166,3425775444,3553134515,130865113,432325320,257875533,6954024966,718718928,1877030307,4983936726,1791982192,3447907926,1868731392,1719348524,6421835696,7926585528,1237573175,704009090,602644712,788222932,3177371022,2394505875,601079728,781755067,8895475152,1150997544,1815356410,5199630306,4439813460,6757984144,1760766513,882670635,4766178501,1731091048,1066092837,2932508864,289858071,1207865652,1763966820,613260366,2167374549,5100379776,3217908246,5690186010,3846833916,815642350,645891,2511849792,1198551090,408307445,4163918525,978578295,4721246274,394645448,993821885,5293364922,68717598,2029131231,377312568,6311869781,4384537569,554937426,278522202,3460411087,1514573110,2991538956,457262368,246088044,928516755,97905070,403254385,4907364762,903655566,339138162,203457510,3443826940,4989846822,8583659811,3996562707,5845328496,2815510950,5933167282,825695105,6905909736,2389505691,3819242934,129869208,5171914880,2520015375,5443938264,4283071425,6782968906,1269440890,4305639704,4374382929,114342074,565994734,169737472,702640764,1445038848,2324746647,1621944920,1377232700,2511740104,338555254,993481852,1838749026,2055043455,594639376,1918759742,5256060489,4910089570,1909216316,963366382,3014382371,2173988950,147178032,2295016192,2415753225,5184850256,967104534,1914806076,8948366838,2143991255,1884280074,1809039112,3980295410,5069342264,2194886960,3842455384,157351608,2283838260,85281476,914098512,832847332,1205849645,3482137484,1188314186,4587057336,3959394219,4564339610,2091852776,4607912169,6219613287,5464367370,3151921230,1938716142,966465830,5279569953,6218897512,5180446012,1921689824,4402997270,1822458896,115639006,1531614984,3027547340,5623144506,3155702403,3535661718,1039653716,2625612756,322579389,51554982,1961406416,4111273885,2834999615,1736871720,422054310,992421164,1393147482,1755263406,1503473600,1967932632,2901844420,3138102729,4921048255,3808615572,849448945,5068332745,3943680808,5860058268,6571528720,2651234060,6442693254,882039288,2203248630,2649711684,1691904604,431751807,722588016,2142851432,172982757,2726057478,5152863420,562573721,7795025235,252960246,3364161798,389144455,2414772873,5250076842,4873506780,5373227920,1886274060,1693008860,5204210490,3030355161,3257913449,1820782398,622443276,926245940,974219829,2007909224,3695486,2963391210,5318543160,684974811,4420969470,1689926536,4150054958,2573127612,1901487272,3030618136,557554767,116578510,2888454351,5104886046,5386692872,2964076515,6813250650,396095866,6291762480,890184149,5931236318,4864034526,2683813020,2832313939,2838457347,794453330,841512136,2786790062,572455140,1780532584,1183011274,2614964312,2116900326,1118033012,7305172432,775816299,2530008,3443947892,830859780,7044455384,1584625304,3940737150,5815407360,1024616850,2210787441,1030289586,3635852672,1216626156,711715260,95093628,6166347003,524974576,4700046414,846862064,708726786,2116637208,432699557,1815299402,3887461490,1775904794,1735027152,3051447497,23951864,3423726224,2027266624,595106008,4867586442,1324221272,4474474140,4351248280,2362540660,528878052,623128918,2916278823,713818962,2296109956,1418675146,3742632018,5922614800,3235064536,5281848342,1397863236,5173184586,2566525644,2243778404,1693203400,171971667,7187403276,1060287641,1393385272,751827492,2999455890,4489833733,3106046250,3902954016,1883397545,1414963353,3439682792,513874981,4015534310,340434205,4303876716,3162008955,6663856227,153123798,6738379857,4896844345,1571693152,2503057170,413258811,2148697401,63618989,3984744799,928728404,1907674998,3131641872,3524433626,2040671778,909701027,4504117938,1036446480,2266100646,1798822676,5481050316,4754622496,3850534456,813604674,2877728180,2513975952,7097735008,1997485026,1161158544,3763808824,2329839400,216506574,1740640502,6524200107,2682635949,6746038047,715630260,4788086526,5901622944,1117256280,721592808,856913076,447472402,976763476,6725380039,969929028,6227555840,1176450520,2963661980,363545104,2879863308,423698460,7218548248,2930594312,880723990,2231749920,4839628059,4580652890,1974336783,5416132078,599044954,2471868910,1746330488,4606284256,610229628,1005753024,360814254,872070227,723200913,2471874041,6147392464,1052664012,3673898800,1074545344,2026093284,1709303616,743179077,8928522657,3421268532,3161181672,3268635930,4438706392,5616192520,1135603935,2892317295,807453792,105869898,3773527326,2520147994,7678901080,1242649366,4656196854,1516699560,153151085,1493731272,1360484034,4104736998,377469477,918484004,1890230944,698078374,1541635287,1466753102,5616927750,2823575175,3662382780,943225876,1836456356,2694050640,1995383292,426133095,1311984144,2395889469,3590904079,1420934004,3122736730,2078929593,3339564048,529223888,5555407109,1731921471,4757406618,2329157691,1391584014,369134117,3043938930,3586557900,1745958416,324520450,608778994,905362528,4202298640,2720120607,5240399872,2740194630,3202163540,943387428,851964240,8521569648,997645815,1022666802,31472332,88513368,440429925,629292998,2696198316,136184135,4899061026,1009161826,5969142078,5918428734,610761228,375640527,593650282,6409552324,2082519255,4692138605,3307507088,1091702892,1164897884,6626716144,17934535,1174375332,3509302645,1071984014,7636709168,3241415945,472002912,1113045748,3269475904,2080380396,314085696,2911308505,5790064536,873637292,3609934638,646015914,528278784,8674793892,3671648988,319346074,243686101,2411405500,1157114922,2167495008,3823784010,4426555356,2856005864,621756180,1006383104,4513052545,5701483125,2370553136,3649006580,2876363645,5063682029,973826946,4586392153,1719669750,82508449,948268190,1551846436,5310906705,243217809,5080415361,4477315656,1769854750,859086155,2121565035,2853392352,321024748,2485817481,1454119905,606585192,1469868416,3128947493,6816744165,694576131,3645093828,3389249848,693270108,781164136,2679397730,4288338985,3325455720,217162423,2400977808,1100990715,2801090964,564305870,5138106664,1461934740,892051801,1374338760,782577656,207777692,2701174698,3910648110,1153459674,1604914848,333039474,2807622713,1915265442,1139407512,112553765,2882323722,144661486,1386166302,7765911768,154310324,3653626165,5351555312,505629714,976272220,104208141,3704950764,344860962,1217067674,265564092,581428987,497713839,759261826,1236600900,179642084,871278129,662644852,4790882984,1440875097,1844206428,739453902,5252538830,1274974057,925208613,4774407798,1390708048,3669864824,2185371702,332918744,808695684,3238336381,1961208140,7059703446,254645706,6526605216,6285209441,695763562,1744509614,2498579055,2303070980,2711198286,4268103966,3999749675,1876170516,5407202124,4661791825,1075647018,695749527,1253475312,3846382254,4418421282,1041266972,4649546608,1373991678,1407321194,788944684,2650837232,584751490,2787421716,7541712400,3597943401,1475815806,2480141080,3259627940,1154924426,2762347590,5492516832,4226202200,2367816363,3346837056,4450138854,1583947484,318391656,114373810,2603503440,766650204,3212684100,1331529554,1726827152,2549614764,392003040,1403010560,2546186776,1799424452,1641937994,1665936660,2936588697,3225452272,4352545615,1548586248,742250496,6340096441,4482017955,1934043990,559250105,205593148,3630282788,1834206849,1549975304,1763756820,899570728,2204180955,564001983,2090482815,4157328222,3265628754,1788734396,2460851192,5675164448,833509827,2675670512,4244700096,2391048720,2284428588,5011988070,2073201076,339450176,5878669626,4883706163,36234693,889824192,920393096,355694461,1621382768,3849815488,3991905072,3247579428,823424676,2799806425,781438815,159916648,2356307665,299283138,310473636,3727182180,968346677,833384613,5281868664,756280589,1203157173,2023670820,2787120544,497564504,1352670696,1035180708,1876751064,1919394060,3421776060,2315607895,4500971070,7651543544,1411367000,4750943255,860980479,2739628836,3652976706,1601463606,5528949864,3895582062,7032011128,2444222223,962001198,3856501628,3002108975,356261220,1362985756,3641038640,3828326008,4087471890,766426074,405175830,858492530,2274144540,145294272,1265316120,3902622336,7733528406,1027381518,2504596384,6536268186,60756559,1936911498,5141128336,6375500845,1596903060,3857297228,1750138815,3082958420,308142002,1517566526,265623996,1681608656,2103152996,4456616600,506873772,2046295174,3685385193,2004259104,1148830242,4791973320,1669410720,430837842,3765453104,6705926694,1061095940,8607252924,3358162025,2680222996,738860553,1412194326,2725052612,88322009,5122314438,8794534554,2234531636,1231807100,1183829802,2461615407,2678792410,2334864700,176047640,4724753940,480872144,3878692432,616410222,999000035,2214939986,1257946749,1243851498,6993251020,1474931635,446511922,11315184,696489626,5744242368,792479121,3814276952,2478555712,2866835394,1801347344,2318384052,3982554840,882996327,4680143395,3994835308,2363162058,844421100,1493772819,6832141099,2662012014,4645084190,2193313000,844405334,2094850341,1195297536,76927648,6302080440,2340223572,1637457640,6478309978,1281415870,1611834256,4132048500,4418753630,642402511,1294889062,4698585740,786628538,6637126818,1865454350,1576566835,1484603250,232027254,1850689950,3729908768,7672510683,4603573400,3948234790,3990597936,859085398,5901970140,2545110720,7422460944,3257916032,947489118,1336966840,1638866135,572092272,416890640,438130624,4359896744,7539901938,2637553180,5319878336,5599215986,1070441607,3574895944,2997110830,1201854208,2304243495,1325429856,678032256,2123074161,884419312,936794598,763188960,4897045974,5135569670,936648943,1016588310,617537975,3642528228,822775677,1284664328,6461672608,526134438,4205284944,1355499285,546122260,1814409154,132634967,3376692610,2156069960,1268558115,4777697659,1427224758,671546708,224972984,1730892653,915387765,5046455526,4979271352,705472432,2878259706,15326848,4854903378,607687140,2014258347,4082895940,4151681848,4210641432,746225280,5242103505,1152979766,683021772,454719307,144028431,5916815520,2390718957,7616654144,1524098824,3412830260,1010214022,656963534,273154572,5068965390,512668540,534771264,3953468305,1790486084,3976763772,1767046059,795588042,1414902507,77768874,1109988068,5886745208,1898255898,902484197,374798484,488423400,1253760588,6325838649,2896025596,1262617775,3347057145,605847056,16411560,4996956184,5986438096,6085696140,2544771450,900880112,1336491794,3250640364,6626167002,5055919794,540400320,2550913345,2102298788,205258340,2495931261,4838774296,2599526795,2602145151,388887021,5531542471,380945774,1401833125,3877032688,712265379,2137565658,4018718220,7235837952,474431646,3011468509,908936856,8642276334,511469240,1348273676,3119223210,2217743640,1809148256,2048431860,1016509437,2895092168,2142603396,930353112,2889351995,987330580,1516138476,2820772320,1314771552,526393888,122832966,2992311528,555628859,1544065200,1545909920,7912066080,6618050712,925410177,1608029949,5276651618,1101871885,5719230072,3215417375,1246338466,563134020,2003108901,2678622561,1779768594,209716540,5413108050,779297288,494043440,1771523664,5483480872,2755072232,871546996,1999716420,45794288,3004435100,2436987042,5954435296,7688159469,3705795496,1291647124,2714391968,324026211,1952591304,1956428180,1326364487,3385973290,2372461172,3024798800,1549726244,599366928,1386936136,3176591284,1780911714,1327158633,3102873920,8715141036,302680025,931649171,1049345290,925336109,838918103,990666616,4258467540,2603418170,1384180034,2849421712,1336889082,4657171960,3523937690,129849630,5697741948,2829954281,576526003,3446253384,2672774680,920490448,797949266,727353261,2341690112,5998038179,4231715894,2975486424,1067609958,145387964,1021913500,1389367695,1745768547,124196639,6330075291,1244968814,5786764963,739841266,2467133179,3894570072,6727387751,716859332,44307494,1499646904,1469964990,324871488,979075882,4124136815,2273186424,3904003336,1775171626,7356369376,713801985,4591582620,1858667128,3055740408,529340853,25337412,3286478608,2578534878,2263501071,7743726,2910141600,5497324488,1023066620,2956030308,1804559024,2523037055,225205323,2429740716,5220971084,2005830387,1300078368,357439671,394017493,1531164264,30204360,563354425,2897411064,5263886079,8859385332,600505462,273319056,3265662177,116355533,2239814970,2602935696,534759056,8934563088,3012693486,1094112351,2211909246,2578969740,8875592523,5027171391,1790138418,6284284937,3247595524,2417475123,2233715974,4343565618,454861425,423721902,2392440215,806510994,522068725,4907027625,932227776,515399534,346224738,1352075746,4670242950,511351835,458419220,1172761160,94331277,343564746,688627002,471415592,159913879,6293156112,8353130355,3012477083,429648723,4994986770,1518233712,681606573,739464160,18890668,542609838,2428144740,6047687368,1325029456,3663341865,1023246176,377654718,245619473,4368255032,912232405,2041781140,344779500,203052882,1415138310,5504278297,1663487904,1097663595,1046175879,2382412720,1881614808,776750079,1697840414,2790536370,4654465820,986843558,6854096522,3118979066,2320072435,967815570,2131072344,5196007752,4682528185,417086672,5130973575,1746503271,7829086365,3913637877,8685025407,3773048650,2998456023,766244164,4903820816,3856171144,693856378,3599979426,3912403552,6141075066,1636591059,1081779160,4231135560,7314350048,496809724,1350101088,6324712100,262121256,2541783811,2937900636,1353750170,4491025280,1032152709,157111816,97232697,1848070692,8276789025,1851970516,2630164285,6407063847,2316074022,4150918380,6033991032,2652675132,1209478116,4653072640,4694886175,3167883352,4923837877,3756695605,8352446400,3859566864,360286603,701597322,318327405,4552147216,852700546,360098522,2175385935,457160232,8326539576,209981681,820732445,920971665,334394118,4517482570,1062561535,3886461696,2185377425,5401092165,1193152830,399096290,1100491262,4685323599,750658533,3527926899,2912829485,1245711800,102417168,186403650,4677797054,2275210245,3994185160,3905558622,1233445120,6884938410,272010618,258494664,1157838864,1046706993,3211503208,5239852653,2405552439,1586145434,1804454048,4554932958,3631170375,3294450672,8088394581,616199358,5992183190,680694515,6895346608,3973273192,2483263074,1277394795,4046951140,2586876675,3713455625,1927272100,8699407524,3295121160,696509977,3631202944,4984881894,1740742098,1717843941,2230452330,4282460694,2708135991,1768984160,1867939440,4990053030,6084852151,2344960572,1642031236,2533082583,2999835840,146309038,631831617,1653824109,1515891128,134962121,1293441060,3027604977,2327549144,417954640,1026555085,2096822358,2672158653,4031085390,1560022544,106241307,846750156,58428127,4272538242,2259646782,334578954,1164556392,4671620514,2890038896,5517005418,4010867784,3668154120,64075822,1348422927,602330040,414338968,8794538784,6986124327,728691390,2084343885,1845397644,6659844064,260500386,1946875239,8585938188,5105114651,6839103192,2739977830,2005174953,5671117506,2932110288,2695796109,3508492155,3322204564,4378787850,1916691470,854546115,2692508336,5144237904,2795000832,4723799928,2704469165,1261930484,4130463336,1262757160,2858985348,3450968148,2204496424,3254726485,1083830674,391977024,2347583265,1236331560,488807144,2397886437,3299874515,7243937496,3203307488,237594087,7269891464,594768501,424065969,1930951316,3525968952,2012303875,640244488,6815926649,6057728608,1302650676,4892545780,1461347258,1637616588,1472461836,1709127936,8708916033,1177973978,5616370368,2283792700,996450021,845318652,5002397916,7404719355,2232562528,2165808452,1185317472,1974662040,6500829924,6807797408,2908217690,5504783224,2931777126,6476038058,3567680221,5323476016,3816599044,28815904,6540103479,3324784685,24694457,827387018,1923910093,4731762584,283871710,4795082194,1558837878,848045440,2681924025,4596410466,7089969320,27947729,311646664,3233744472,207536499,1666000145,5634428244,588701434,2491207074,88534270,92590449,2990318292,285504341,4754129384,797569490,1919508254,3884663270,241564488,570972450,238668225,679264533,7405276888,633236204,75565670,7831635920,1722056624,828431526,222199248,392563200,5547075525,75643640,5505530436,791661862,7390136583,3723217600,85406298,988764660,629067785,2600778909,2279271012,2980466109,7360717176,577018888,3814235280,1803493182,1379081368,1155003680,3395128650,1940178056,185409960,5982326664,756882130,149554772,1027635700,5256188350,7020483201,3082352380,1691631916,5720663696,238903690,3008795418,15143,870178208,641514772,567284040,3578631352,94990348,876511350,461913704,2106928314,6731072184,6361248276,440280043,1280670832,4752374710,1278190432,4837022460,976431642,1872238107,1861962918,1124754084,2909281620,1765743285,1182359061,1740780186,1679500260,1908032208,5632454376,561695736,66642015,1014669674,3183150132,15593774,6775966050,895071928,819852360,602346274,159631010,2087360358,5261026062,6759873189,6017376992,8898941889,554696172,1421497072,1529171580,2808305720,3365073126,1166468112,273751975,750301215,1570968055,1932369966,4436022940,5625067422,6596710256,802592046,2846855465,239250360,2643661993,1192631721,2641372119,1876010876,2145309700,2252820192,1799701358,2924672947,17144883,6145565607,2337336512,1162659860,3787988115,6897071240,7135962282,266794278,648252639,405400456,3109880664,1382727835,1553180103,5972544096,394928625,3871570458,4405438855,889963857,4548322812,307855983,2249272235,1971379530,1431215664,6980995917,3200346992,1240699115,149055384,2801746360,236394269,3151312790,433124730,4708803370,582525221,5908043766,811223306,2774668235,2652888474,4429534864,744556656,646204245,5986350447,3857962696,2616904056,1595800824,4820414718,1431278200,153504914,2348570042,778076060,6061916588,445333856,802819668,515014578,8176151754,2530213196,986055256,3421085576,1315828096,2930361544,1989251152,2722179072,3193519854,2028861318,2281485423,5369795100,387961128,3489987810,1349271832,2325264027,3186731444,2829048921,63205860,1206921130,1919683966,1791899346,2128718368,665982321,4764454070,545132983,1991764440,1712414618,2357931840,1854446232,1983990948,5733255178,338131612,4299082200,331690300,1013860685,1248035562,564070576,2155213212,229854504,421032824,1880916520,4185615375,921689634,4918976832,862897026,185687783,7982352198,3091290672,298372550,1291282116,183431088,1642556460,3036340760,385419993,2958838865,1458897600,1739514316,670479155,1619016966,2604128283,3941799092,639749904,937569988,2518345770,3982383448,1473894590,1849202266,486622396,533214973,2392451110,2355121008,88240632,6541785126,1760584832,2646166384,2353061412,2823531949,4792764132,918114610,500148498,1100195886,727129282,2437405754,1792387152,1477705002,4171032180,1444261430,1813462038,4640761812,2273717313,105428560,4922822590,849547818,1379316108,2520014388,6376738400,553557318,2947066056,245714848,814648912,5501100584,2173527648,2397484012,899544264,1504357288,177233020,115242465,4109722421,2097742494,2348106304,978196488,6217887789,6289550260,5088831818,2347520188,443442398,5008908492,6580350990,2678183760,4398322313,192705478,2963282520,1114808040,207081324,91917456,651894400,915573649,1906634616,2203447437,5760115179,5736295138,1193421398,6801897808,2668075810,1693234866,719186892,892617907,3595109164,2051663463,4526024755,872246562,258546692,1900771808,3385954130,3889541979,2192008581,1333645425,36520223,2485053644,1968190819,1845938756,136530852,1022544362,1104142692,451489695,1112745990,1997753612,2085362200,4291406046,2094512574,517632660,4364244565,6669641151,1274502435,458121588,4132807047,31529463,2062994967,2260693521,1874129223,1197867546,867451265,42031016,3856885488,593627643,2883415398,1845764200,2077913976,4062824648,3357256203,5874707514,314476908,493181480,1358250140,1160482314,1948550730,929576592,7262054973,2777956566,3649047196,787562562,323577147,1692625210,216695132,2606240400,2608539354,514165862,830569406,1691559420,5603057181,1834760170,679750635,1528943386,937510439,347313613,26573930,4408702690,4835397651,1579806522,2641453800,775724154,3320620656,418904865,2961614677,1588336551,2308684,989765808,2811767532,3716688552,124199558,5205516888,2763975905,7803772960,642398051,3889750137,64428070,717396049,875744367,1111655802,87840693,5825728698,1199065475,294087399,1866997745,120177953,849983109,921808800,4608279995,767293702,570940278,2826399024,4437664885,2119039488,2314790079,1271845500,1447311012,3203334726,4269327114,295741407,2591818050,1695965712,476651520,4313161865,532524426,1697308472,344364633,3903646735,360134176,1086157516,295444098,655375927,3400695930,7296470320,3951764004,109075188,283241640,2030014275,886910416,568333308,50855664,2883091340,3016241944,5240902734,670326926,5847274552,1773935410,1786110372,4808286402,2966034144,230785032,2658801672,4613291958,7010302440,1849109436,2832513047,1026434370,7305143679,178187870,4147120830,3941395220,1653445688,1036809808,438540888,1455549870,854564649,188647092,1853291025,4456465565,239069087,4597407546,4342641312,1718559938,3115309608,2999226712,5160049538,2515012635,1718967453,5950696698,2660840484,8183790549,1360058652,8709911595,1109486196,4289531499,1738097775,1307466756,657865472,3475162026,1756735188,628313461,1531584774,4238566623,1467045903,4599293364,861375272,1820609667,1670915862,161476743,516873077,905613696,274956281,2072468492,400956560,5246844270,548322336,5024902050,136769115,881719878,3283787276,52772873,1239913056,1788830974,1520714979,2469813925,3977914194,6760981344,2447049387,289654512,2078806893,10745882,404261011,723559038,1283299815,1829204746,423753875,1874175057,1101752478,2313298110,77549148,529721487,259007211,3498942560,595925020,3783239720,4232599137,2879767000,144052766,2223368912,7252923627,1826405004,1645991752,6357265992,514960512,697644514,4576990059,4983045606,7380017608,1059389008,2851710965,673691544,3014978328,878242525,1200537660,1984734980,628669900,4343329487,735999532,680853104,6684370856,9854802,473771432,414323433,638751914,2644154128,3370791258,786575917,4378836714,1920728649,1554875468,894600661,2758710736,1712590696,5723183960,7689382200,2053819696,3852011904,1098734938,6390358641,794894676,2836141928,5113786904,1140302256,7408938258,2602063980,1959976067,14162900,2394778712,4931027090,304909911,408943800,2903582325,1792139612,535312311,1043547631,2310547929,654267051,4855842528,4205143215,2123593521,6343660785,6233000814,1894513986,3857142006,839995722,3193261352,165919073,961191678,5517205407,1884379068,4015561528,7186618386,705967547,2873444805,423962565,4173489624,215865824,4678910424,5367067475,200887761,457584408,132012056,257067017,4936831698,3969569752,3326825744,2681811978,125606966,1093774863,1799094948,1411747578,1318040160,2937056328,4915718604,822449403,693228990,2271177369,2205730224,4595378118,2800205742,7239535686,1335583176,710884583,288968379,3402503864,845283756,2067028632,3755804688,1456215086,2656531059,2782537456,3505516064,418866759,2546450028,1252350920,30689530,240468534,2346298611,577082370,526536782,8509814325,1732591668,8522845929,5188127973,1090047054,3683406650,601736808,2554112934,2422426215,2143923435,1519980282,434611240,1702543764,2939524930,8219301030,2936721474,7333092000,2488205476,27036660,7307117937,4438894509,5014311318,1497356856,227762075,3575069616,7537748648,1331140278,2114848580,1344185091,728434592,1901530734,703352904,3009135624,1122643323,379929771,2383732044,202315778,187770115,3966616560,1435882616,2004068935,4012454964,394546236,3984221904,841494644,1295982378,2134893054,463342530,615331645,5552619415,5120500952,1240649226,1607427854,1112953125,574762616,2491562008,5227198592,4159261881,2819016810,2925610944,1143416750,2032284339,225081904,2169168145,968379084,1469174964,8286958836,953014248,5180804600,430681454,5916484147,1191118664,812041752,2076971228,1543108116,120210558,2076058752,4463513994,5382026592,528800733,1878714882,3301790695,3337923780,1627703086,995245713,4086360174,2631952365,313654588,4576655646,601622757,799379545,399949781,860124423,584406880,1103095980,3490664700,346906764,6373409176,115905579,50700387,5581725272,4710705391,3252534924,8505652014,3822506954,1252755668,860065558,632806186,7006820409,2358945436,6565852200,1627745772,7220482299,3016668245,7474591552,8786412549,8720220123,474179517,30756890,1904744484,2490166924,383512806,485368920,649758465,2045728812,4289598112,141345930,282594800,150022082,4877790785,7568361384,156995727,2910664539,1147657504,586789700,1447984464,926024984,534075978,5267839368,3162170755,3867791151,3520492533,1282326544,3310052416,6877191688,1795742568,351780883,882409923,7051272592,947115976,909568620,962373560,919064716,2742124042,319126472,3924570600,909399592,2190165216,2993069575,4921278272,3787149000,3400299720,1204176060,172604043,140952020,538966659,1111065000,2853379662,1313208399,456439183,3691377126,5602162125,310819997,2909515065,9330326,497368926,1383516134,174423146,1225691270,4291238310,798385631,2235393837,765764640,1689781821,5823126096,5972604260,1395922998,8455540140,2397084332,2780316885,519797844,6494765256,365344180,1504289512,3910121859,508604773,106246345,1046828337,292005412,668614479,749800254,3194571864,1437161668,365600785,5599377909,1014224208,2726771784,1046835528,210691044,3024497590,203034328,5816859657,1627289904,7387712730,226762798,2474263278,1524707836,241319940,6967770948,1445631891,3021244488,5864042889,575990598,8101099080,146167983,133731045,6228017229,1259787474,1747710858,2330146134,1704097584,1505178116,1560378618,2535825616,2737386608,337852870,283588988,1863417771,3118773973,2608679770,1933847800,4109877142,4553744310,4330588290,554239890,1713766155,319990913,996254709,2384982600,6628078832,271063048,556637182,993247653,830226500,3574214784,6513900039,6690868030,819389784,5965631248,1602818816,1165843984,1370553144,372762268,112761220,4989726675,899625506,3787212924,5566015314,948202878,1682501168,5832480808,413223534,4007234272,64321987,3133421736,134552859,2440944348,271761510,954970166,5962606404,4917492293,6699609351,2294407405,7465854632,3658139184,2572959858,1473921336,1312930284,1148168385,3324754048,1625001530,4593781944,3010551866,2137510290,327407067,294272613,464033509,296971384,3391536935,3187452460,425879910,1770843177,1086347650,1702959095,6059464292,6616955765,3672298049,2981259900,840460889,1605998634,509331081,1955522829,2585961675,414731542,414526147,44737341,6853136549,928915488,6629996079,367144379,5529797199,3525787272,924483300,1479017185,5996542842,247841256,8646350238,3642744312,631736496,3577034384,3109942944,2532621468,817433179,3815211272,642200959,652258170,865609347,6334229202,1968906355,921846888,5690862492,638800613,572850089,1722680648,76039670,131844912,1908012122,3938501592,1674939384,578674595,3144942112,2993053224,2505698496,4249207719,740242432,2039447238,2763755288,381504116,4231095978,367541330,3975323932,1781112762,2225748762,143862511,1740451069,610289664,523976661,4965268192,2120168118,3129768432,5927209624,4278487848,3518098040,3602738636,1750189876,4927341564,634954630,1042446290,3309734392,3677881914,3782828844,700496716,1982739640,1625767794,3384295686,5321546090,4515894719,998499979,330607344,2654494493,1951672055,606093962,2370722495,6605563080,3541543850,5369224664,2053069040,5990433036,73001709,1573413144,835428855,1030125815,1070094885,718672575,6340338410,2264174172,2890369320,2919604060,2547425100,3271663542,453495672,2170916980,1055606755,1265052648,2562595288,4519761008,343974933,1628379552,980423927,1303014986,1365867684,3180916851,1048813989,4156162528,2202402140,3489047664,6386063614,339381828,375148492,352584348,316457578,4719402636,170800071,981443542,484709569,1114106024,7960101777,3275519884,2574971016,292922395,805471337,319605901,2327390900,5072575354,3578719734,3769817988,1322136000,278688516,1632162879,2414721744,891141655,231320046,1082354054,5362116232,6971396872,3096215604,5936698080,2811588685,2798668104,6422358032,2864407770,6037097744,985993012,889625285,6347797984,779099779,4310177436,173659113,6475060341,1780182068,3307185360,5653443555,4643710284,1658408995,656893110,222788257,1096507776,4821766565,2629616365,527449288,548734152,1848807484,7171970264,4585108752,281067304,224638811,2489836455,2887086328,95803617,3318167250,1189730679,6267300599,3556689676,5097698578,4263057932,1931341666,1761591024,2723846550,8334146286,587745191,265700355,3967597856,755820639,3074145084,6193806248,2952543144,226543720,748839933,1785882696,638392668,3196975580,702495664,3511137608,1546490952,6396718944,199236016,4489776879,1043601028,1543436796,861940748,2590447664,2604975171,365401036,1460621280,1331195216,300310409,10467437,290043822,3603514645,873688832,1692968308,5731117042,1931257784,1354101352,3739615452,925117592,3197043672,2211625428,224185480,2292230992,3513949825,3312457074,2229811548,1010306540,3550100180,1810677348,310135221,5911633710,5526412304,5608518864,7145080736,5801888155,1284362220,514206712,3274333044,107034910,2824364855,2083888344,393814342,77475942,69658827,352837059,3725180586,196038189,4104398,467618956,2110633248,2959941760,552953672,1763329644,1306077432,3917993304,1235097780,7632841986,296975511,194289024,4849641336,3585426390,3539572130,361323636,477598872,65236686,142120597,1226222538,1386466226,4988838384,7628172444,2447653014,2210829045,7531588188,752879704,910171768,1148355081,596660748,1013416470,2799685848,2860413836,2160413139,2461521904,2313245249,2456298936,3413877366,2583506790,2963170285,5694660120,3518433856,2365600680,4408195240,2246184738,342368507,1632438545,1794261804,5914112337,2408954565,3259472670,245273770,1178103234,197490818,6154293784,137114658,1020130632,3662439556,763073422,4274892480,3907632956,2926024578,3752739405,552971559,3119089255,793482741,1162015848,1650102736,18935350,973210272,705345086,5299627878,22595178,3495057112,1513302986,1902111174,7366958904,532369801,2993970180,5102459442,2331524349,3782882860,358948450,729852872,544725007,2561551088,3996728304,1612576672,1831736754,2577242605,357996504,2733619602,645779855,956888152,835032690,1183910940,172507314,2937474576,763853438,348007410,1310643744,875882575,3150176800,1303664400,2472953916,1121768130,287099895,1491693066,2291233065,2467815558,785991288,868742187,1222897431,3671261964,138166694,1861794150,4255231518,5385883368,1072726750,2175316566,1346795368,2664944205,1559142807,2045350808,2714084954,885774408,46257088,787492353,3887382504,3393543896,5276291976,990088,268547887,954768533,3270176668,545357437,933495851,6481163731,7747446690,779843295,858439904,1830608248,2521768797,1430443116,3898408996,772810806,369225872,686618828,482258240,2610147702,1582197664,926589519,687219864,8828065125,313804325,991837096,4444731860,1352218092,1041738704,32755355,130625031,5849509635,1091513736,3070989244,2166699055,5867232210,1975713796,8817232968,719480960,1732711328,2346327120,152450859,1478397516,2925600138,3282520120,1794215400,650459298,2558301363,5382556758,1973802357,4565292006,508526719,109006566,2153692815,377639650,1551457684,4424163160,2626875315,2718105432,4019576,514742868,955728078,6330187116,928230516,1288223754,7948884582,1945922505,3065957580,2565952989,5135808096,153390624,7109597552,338332850,825975576,3462622308,7635497472,4521994715,1038267322,3841083804,89620632,15835356,6532944971,3444474032,4241693754,8297962839,2592556852,402840432,2318716350,739213650,1198759404,2689855158,199189102,858121473,5464605918,3917808500,1730677005,6798021903,1577057187,394039992,57169208,1836172134,4067623960,180657252,242689685,1403259900,4161549591,316946720,2723304008,2700179135,82328740,2845990825,2876828065,6164319825,1297106769,2147726335,3564325206,5706796776,413797432,4067996364,338406840,4145236659,1276810916,3720972680,499902145,1444978196,140089342,1741372740,99806728,3609442886,357235319,1456408596,8491656960,629721248,359597060,2761111760,938472898,333711585,5985536352,662590462,2747606064,6544357936,318280258,679031560,907518064,3945521404,2206449524,5022676800,397340910,52809723,843861166,65589625,789358878,6068528904,5837326878,4084245352,7437616659,7032463264,1990025802,1708018080,2017159404,3691020552,758466917,980690614,1157752612,3084517208,647694732,6293574252,3903854840,1204325220,8170986537,1869067410,162611992,52609252,192977378,5875745323,1855627220,6121186043,2735566370,6354550576,1310620248,354821852,216387810,2904332590,4910414754,1235451855,2511164547,1700186966,959096035,1981262598,3517416474,1869630864,2151308430,703928814,403338060,205708403,879834356,1443079976,5624110953,374047185,5975431602,4637629405,2490216036,5650873851,1269082997,133535396,3051902763,979621910,1602250104,6837368016,4017873636,7083812600,636783999,5610342520,6423533874,452425761,3932335728,316844733,2690857360,285568263,890686650,1842811368,1234472552,2682948891,727292400,2018667528,1307370978,970781897,2489795598,6681218845,2612169364,5473581640,401137468,2858021670,1631698606,111403504,904512038,397248752,4443543090,921042044,3499336300,896987040,1995760778,2457254466,6318445721,1432580685,702323397,4325415324,1709440911,5042399712,41031509,1084741120,1758452826,5502307650,2966694924,1158070624,3328766280,4503692545,1945758168,1270203960,903607532,3662891532,7448456709,2984296722,2174735190,4071748624,2163170025,1233267454,2999495460,2400066591,2866401040,933037806,3539983536,1277782065,1759532388,3611345705,133778424,4697337099,1951846936,386126211,1133929416,4324517672,3749681271,1875717570,1394157216,1115756397,921349912,145365511,561568214,7467871104,90333029,3730857840,1065748452,2728349478,815610309,885668018,4314147271,781960086,6595360008,587611806,3266945695,5890935519,479499,4966122455,666159489,7175559861,4350394237,4181142928,1400965685,683360804,5962584120,344394567,7520878413,3868564194,1596798980,742218924,145943968,2268731448,432081744,7899232698,499603909,4867421196,1184091580,988464368,3878335132,30510788,3714807710,694758180,1877975180,4165829283,5717110776,3462655104,1714485507,1098734662,120268620,1992029572,4078441031,331522886,308676629,858081962,67567182,3985269972,3067185527,2360614815,1546404942,1140455628,1827784170,814226378,708480887,2540419092,170727576,4182683208,952814632,5781660276,281016258,810202500,1231926798,426650863,4921042401,738782176,457847374,142031025,1343970466,1814170797,6454779816,952574305,160282543,4356343750,2947385127,694524383,3801315608,147566475,6865495008,189152532,4607782935,3413203878,1022972384,5119326702,1566496144,1844806056,3331666695,6548813721,1032403576,428921992,558840239,2574882966,4264311465,198544715,7962954064,2392843974,27749352,2641046523,5585907000,1731048972,2122456122,7601652568,2290188384,1768172374,3543707268,1533522705,1273594820,408886913,2543750104,982110024,2819155872,3263083836,709710388,1534243872,1158394106,73642431,415042862,195761817,94473281,2795568390,3961221012,958258268,1609653275,5537703573,542132980,1193030614,132201246,281647205,4998288960,6034262733,1837392736,335618775,513498288,104338074,610134810,4533605135,382979348,303231759,1829477529,2690452323,3914336760,5698118610,340383040,3984909733,2152427235,379302107,6131132696,4833462440,893923190,288943924,163184700,1301730543,3216885048,1340674204,333671958,6971685637,3963409204,54583017,1606732220,2816411997,606487934,4516747070,4817574950,513245565,3644050050,4835993742,4657066044,1234278031,1342917378,2663278938,123326340,467809824,3474986528,1757210208,2177973357,2238395340,567721811,123153628,4930855195,2289875808,3770866939,556416215,28195404,2214941883,5674054589,226719600,1354569372,810436242,1164683478,933345189,2768498495,6337284390,414900290,1662003490,3408460280,1524724648,286202736,971947864,3554477705,4899939435,1719647948,605053093,248108288,7117413237,2143365231,2234028180,5021667513,534722852,940568284,2273472968,5424379744,4056201552,2343347580,1264286700,2487617264,2492068116,4109701895,683030010,853783670,3768673015,1769785282,226610946,946807841,758156232,2124055220,435546656,867996545,2776258230,565949958,945725563,4982481546,372426826,2447609280,2021579460,268039366,2297994075,1403433000,2561996532,4933360740,272521952,5475561581,1237271088,254448987,1522056632,3357970630,6984213145,3083091200,7142808033,5728143309,5713416280,951247016,1661303210,4973496685,1834966272,581520409,287722280,542608531,4191584427,3021052825,3358074986,1287592719,3105086395,1462525188,7261318480,7011736776,623951394,5484997506,172017104,3864545724,2515562868,3771538248,2651180916,3542859990,873423678,3106327347,2461038260,1476318812,2035281783,525965522,2260526472,88735788,270700155,4392619026,2775508192,2744717517,3755782254,1482487884,509554335,100593472,570105480,832377348,1751745835,650928530,286896600,2287607532,561784530,1324738588,3227991245,1002205828,3909297602,2729539816,1906187356,4642008162,1160860234,2652848416,511720923,2517346521,956231205,1990438812,440826770,3391780972,2360290341,1706477275,1509751692,7075721160,2454995466,54060960,619969749,1549938504,1908799232,5991478425,4286103577,2245780928,6409809864,8764826454,1155573318,1514116650,2588007903,1255921325,2586108490,915684787,8767120743,497708415,2177694932,5429947579,1599434400,5711913528,173876542,5892763548,5584557114,968220630,501451887,339373333,1845743445,159791665,3172483264,3664926788,601857606,139825204,2729129304,597139028,4672612746,2368502205,595416220,5042529855,1632486752,3861980124,1759475684,2525827974,26727196,3473893816,6354809734,217695175,2623909596,4797223039,6318345520,2538094104,323648630,5056991910,968543035,713109742,900851000,1071345168,102797495,2073072270,1838432544,918438965,7114874816,1614040740,1208952538,1882239694,575056220,3184443342,2609732566,2127444870,256549175,13170236,6706908558,5694189690,5406321213,993136066,7718082138,1815530270,768965275,2442373250,981846464,5552291528,929967135,1083122992,496403244,1310941689,1547399436,1281265880,7239838932,2989286184,1145803808,7110103928,2931940528,257316729,2544218760,2499740268,137790945,2045673153,6188694323,8013965733,352281121,6394757418,3968913522,1117953044,821605127,5892990864,1205963480,4984055065,1886698793,1105067214,3544150176,751898259,5059847028,3542203930,5984117951,3318447789,912091776,772680776,4664380295,2035913040,2378649600,1000997037,1497317744,4853594075,898531033,3831621472,864406380,6674906871,960777432,4935879319,3635290710,2869633256,4924163355,544663062,7277811444,3503360632,2315492901,803507431,1802155892,3361238808,2960819316,1875952344,4648280980,307140003,615387754,204824808,5157798576,1017221935,1305986824,673594805,1501196050,578501944,2741300142,82722708,6917300592,4759794990,8915299920,4991205537,428662304,3718150812,777677883,1839694000,1970037363,822315165,6731813970,2340142566,3493722116,3422653500,2299556592,4646597390,7566377360,7729294528,355367043,197925693,3185214489,2205892644,1035584404,425229504,715476648,5848016463,1343896791,588014135,982752888,2253393627,739806627,1912405115,178158087,6881982440,1888186700,3001414084,597815076,2814416318,217107288,1778132728,614009907,1214595660,640949125,894728030,1760452036,5294544192,633091896,3139878186,133916360,1993160328,1587624228,2549135808,339022728,586755050,3402043680,5944876133,1850129755,930924003,1425709050,1271358222,5446879494,4199654550,1978472856,4308985720,4730436954,201626610,1166666805,1661939965,3400291686,3474929928,4316568315,5824253064,2798207166,3484232256,627112227,2230751040,3172928175,424908480,438277338,149792801,2535698660,6437235537,1118592454,3849903888,2110420088,394107780,1485084370,2215370552,1394586116,4960679185,1212752900,1768162797,124013278,2997004515,3235327156,2439388350,1493411080,357631940,2755922748,1499353470,496023995,103095516,440853220,8373221280,3908245308,1182903154,2260866428,2881328408,230780836,4489242606,3875449472,2299822088,1848096476,153270187,5614369621,2087069788,1421456632,1795665870,2589351012,3126091068,3911776616,800050230,2365268958,122204350,1564569816,581275323,3217275804,1945585692,563818665,1694116716,4413187565,1585726374,3313895031,1137986746,3286209628,6801310747,277578024,5752294625,215944016,1905217524,1719106068,594480760,741491416,3411392448,1573474040,4975038621,6379337923,294621092,4036344810,1203450608,2065432525,2480269830,3629785704,839690860,1531902953,54224716,4488032512,3977573820,3083124675,1376634870,1842644520,1016327280,1493280188,1543820856,193820022,371810384,853504678,6905010051,8686199439,47105132,5709743109,457720939,3151636628,1395422310,5933256056,2004381076,8661016053,922838564,3086506773,5714090721,3686879646,1842834993,5693949882,1437057308,4604449182,1926568133,2621137264,7974697185,1096223632,1922504406,313333732,2373051220,5295855544,3163320324,821288724,7336841704,1295788842,4118196593,611878596,1798828752,368136312,508092445,928646557,799173550,1134753282,3955597920,1302429246,4216578444,4203624280,2262968832,1632402694,5524927680,827023458,750091054,1630930208,1588536467,1179853461,6660485280,686379647,3482483240,1659556056,2684374653,1581417564,1488976600,2877283195,496786782,2518655215,3582525088,2248547148,1418087430,555020799,5431609120,3124725505,5210381304,5356333388,584845030,156034165,1862785728,415257031,6170635928,3762906390,3177670368,2787574792,1471301988,3657123492,1593786825,5392424673,1526332844,5962267164,1164926446,2844335994,3393729096,952159376,698700075,3970564806,28013904,2292328704,2529690456,3065154920,3600187544,665633850,267747542,519531183,4607011283,117011962,533212552,355924017,574601176,2049843879,768709101,579131371,246895284,410619742,5367191620,5411207264,54861793,45686757,2786115116,4425286579,1862914936,6466198536,3275888784,2253308805,2883256257,2993948345,5836961104,5706428904,3670704980,3185250680,7573061232,2751870051,3922534955,4624810064,4419541966,4613073059,535144332,2345593440,1995962336,1308423912,2199903652,3369271896,664561678,186915040,5600602863,869186722,810033649,389676373,4549021048,396392596,2933602506,222999040,4938821824,8596740672,8757275103,692071128,944200334,4949654685,531732820,908397164,690858576,3366884680,1228055004,102886494,568056019,832227573,1106826908,1520517340,6703521516,4527560160,1293891048,2026158288,6458348428,1031717070,3942194760,2421014676,1419880974,1808464016,1578937826,952539485,2265544632,2928710464,788508294,1851885584,72397472,2682743568,3340403094,1486775676,3361218588,2508190244,4694269293,1221042584,2314553560,1859884383,3454266704,999255537,4246597053,37199796,1060061212,992560716,991788321,8547366474,143186149,1254623823,1015421022,62806820,152393863,1901409066,3570607164,324025293,723489879,1541341496,1456623429,1728674106,154516482,741040389,6023553585,1148174904,5234075082,4767133851,2466897276,497576346,34770370,236536485,5710236464,733572840,2062773561,745242768,8025000696,461714617,3269805708,1732920232,501102068,5137476579,2150527477,4600024936,2972972672,1749365536,271861304,8203248621,2444445318,2583271161,375383037,273774594,6850593092,2290367646,6438081755,3001736716,1210356516,3794583780,1094983038,115491410,854557802,2806923128,6589013076,372802776,467356890,2101768380,1301648208,2303015260,2383079146,261852485,1725728296,4032210186,946134820,3135587956,647511526,3715864548,1810392540,1384373673,2411535072,2045336328,5903941338,201708640,2564738169,6321972790,392969200,3888343737,5666186840,4515620640,3020648409,6946528856,2709179824,1545878523,570092641,856718187,5742731058,3297151024,911114378,2888076024,6983029088,342960831,619718260,3326505930,7368633792,304873044,1783310300,1907000368,25234830,592922376,4305696456,1160102554,3379414428,464036148,2101337625,5195241918,4390271082,27412133,389347658,3631317450,6087790184,523545417,6927883587,3470046910,6878618663,4368922805,7083953112,2137908366,220242320,1677651021,2823399588,1018493746,1041810462,3014129545,3078574280,635296116,3788026590,484938280,4119133750,4220739369,509027094,2724563144,1826849474,5511652538,1092194274,2082234066,3997598710,1250447187,845049720,1542229828,2598029096,5591030700,104990941,685999940,1410266490,4596635515,1548268686,1459710218,2269265118,2717604042,305708345,2422580355,7502469920,43628154,1557123856,5593937965,542485208,2194997588,1046259342,1381124134,43230203,1700936253,651169062,450214788,950124870,5523836227,440380976,1578434626,702226342,1599911262,3085474336,1204172550,7383284352,1322117652,858366447,1163803156,2885308179,574899162,2938210220,4528938411,1239868656,155613520,639012116,971728737,125489615,8744009850,211136891,4656081972,550505453,681063936,1456019160,17839758,5739945957,4332925205,1419003144,268781748,4499626995,3742377354,885279768,5939179080,4489540520,887754184,2659803414,2702651288,2041569774,702759860,3855852704,2681567876,4659535960,4363204887,407508198,1147924332,3729758312,1573214892,555225512,1128200252,3425578300,6286481379,825286664,1060648150,72795850,4330191940,3702730458,5668747805,405001399,4618114645,3965640392,2729276288,1266363513,2895582603,1846350635,44183958,1036252952,276578109,615827685,2656456683,7029523314,2184526396,1133402712,1237762326,4790359512,8155713213,3452761256,3819846788,223674255,1250824131,21779862,5767482581,2971213816,821318692,1772671290,16823685,604124461,416937150,1139950960,1286277926,3980697740,2385602471,444369650,899756273,3974348682,3019656276,368847332,4511664540,6976548632,548489619,1863638838,31565671,153410205,1311381128,18183126,3728464590,4242580488,758355093,630918492,2497960990,316212277,478934034,1063386200,845061288,2930689596,2519760890,279751840,36688221,4397063328,2415938255,294973274,638972334,1507885945,349210323,2535640065,2637580560,2482986063,363093585,297433906,6978819480,3029835084,2224799160,1749107952,5286347800,4669540040,5002250960,3132777055,1313064534,1978803008,3077091608,5443261512,260822188,3118697168,3897833080,3937079520,5577785661,2026431548,4502744320,3647257005,542557683,3213806256,1804618361,1935031890,1199469262,1820956156,1282219140,1451590036,4669596295,1958334723,1547062970,3504041056,2359501536,690771240,5799028104,1374901012,6090411920,3101619843,4811675705,2925232555,405149816,5236299964,1575001848,2266615240,3553594975,1373865778,293182560,3170264064,7848833850,754782634,4470709215,1437959716,1552423055,2759067780,6091884513,3097667180,370024617,2153168288,965743366,201640803,3502943778,2178706536,2048614785,761554171,660104225,607923036,5545070616,1584310788,2483234625,54237158,178165416,5708826914,5345213172,7401269472,1192327444,1678049618,520916728,1825820230,1420340100,150483343,1768491487,1776508592,1055834736,5256747510,4642341534,2629632462,3841680840,4082539075,5485038363,2327416092,4971447768,734164789,3130086879,6571345448,2974398237,835319089,176373198,2793181984,4060222368,4853325750,4473840623,382132926,1170972072,7662599288,2939737005,184143199,176138786,275576920,4467636688,318729257,944356137,6618546918,1582379260,2672049126,512774417,3718879318,995967074,2683715368,3663408868,4546660284,2185044560,2062631772,1883792322,1273854792,7562848008,1893581730,2113045035,530258116,4473781312,3951085644,938805572,1084298005,1209009557,1897374852,358042907,2040344892,1749214790,1349278725,4598047989,6025615680,878750918,982260249,2794475628,1103064962,1211642648,250795120,2292199876,1259576220,3523611018,388804624,595623850,2110126746,4282666461,97345582,750805434,746591924,788851938,825435483,1033755220,2213874849,1897154665,4297792424,2447309505,3594168400,391105609,287651016,26771670,3720850365,8591271093,1120601072,5427927972,8047765368,1198455300,1067601384,6150808168,4412741410,941034340,1301910444,3147558656,3498163459,5381011236,404911260,6779469634,1694032948,3863072101,4152979852,6882533700,680159944,58652448,2276894571,7912338435,1926734090,2775153252,973649616,498216450,2133735332,2658157848,6449412389,7955740323,998775336,5466065507,6119889372,269453142,565328533,1105279533,1835941306,4141372403,4902576000,2475066186,3002277648,3557983674,2005229412,5987104734,219915481,2396029437,8207027262,5320876518,3414927355,2650108446,885574380,3587365544,6358912232,1113179395,96688270,290536722,146291712,3569368308,924811580,571474170,2488357895,383675763,3281534160,490255736,2991689250,282028616,768836591,1334330286,2474767470,1024870020,1904322005,3836259140,1491718197,702064860,54999416,310998513,187375629,4850475235,8805881709,1909981936,4269351450,2740015825,3071418072,1051801436,4848722389,798176412,145986610,2186125257,6855186464,1737788746,723729474,28869382,2690583828,23354001,4542363833,189127321,608413494,1136616615,4885557636,4484628148,6394784376,2702735976,1343921456,5347627411,6935614770,1758253224,2614740939,5278453048,1670793112,320628463,1691761680,5091281082,1621195664,2185620510,5691679536,3386431296,4255701112,1805389352,8726178456,3874351272,4517784032,362338328,75648036,3850456764,2182527537,28158403,999820632,5690718922,754003698,745407392,3105245088,1698740300,614708318,5814390656,4220007948,1503835546,2273638480,331949287,108832360,2000476485,6319112499,2545788015,3558129600,2727022712,819254212,345928328,1450512516,786698907,928854779,3048520684,4869539022,1355714132,1733089266,1799613394,1506562188,5958835694,5286576870,2970671893,683575274,270603346,7473888624,972998181,4003070190,5526124536,312378283,1553637744,725493759,4989594113,3001850695,1987738290,561276184,2334022024,622789644,191809614,6480896328,1351652540,483059407,928736695,5180777602,625206113,3219607820,4415622335,3218265342,6042728997,6066407319,1946848050,1013978064,1557499714,5128853538,893250429,5358576969,1517387814,310340903,5730753931,802496436,1061146668,2623562104,2891596455,2780047360,3901531385,568013809,2997815470,5044026696,80153500,828076653,1590107146,1934682957,1445235768,5230791370,1057811266,150483528,3563971266,23303190,1980035850,1689708420,480401247,1844678218,4790526744,284644126,3097072345,3686231424,2914686632,1376283460,3951427942,2780671000,1186186836,1081748334,547818704,3179817585,3262275711,4248342785,1848428892,2084354408,636960402,241370730,802962792,5139657324,3637144668,7700824143,3902718796,5133181640,1043676048,829983140,745810984,88888680,3074796596,395680199,4353003875,1201587510,2096751419,251326539,152629446,1631585964,6911957728,8976109644,4512749202,3368182124,1590929756,405238854,2047076776,1060314828,432048046,3136373898,2261226810,5175327900,4819891840,2827443480,1303758498,1322843224,3085635704,3363692130,1698537207,2754400284,1726446148,7308850912,6571198305,2053119605,2263400073,1861719285,5264797790,566937124,116880879,769469046,216594824,296191832,3319536374,3209490977,798189608,2398879768,7847713998,499897888,7159014333,53971812,40083096,591818295,4910168016,1380031426,3562363542,2198237920,1199013556,604398315,1092183402,5592541608,739452535,3673996740,788038542,628504548,523467332,386614304,772192137,145989866,1520060390,2612714888,763370270,935078658,4845186072,411674940,3482934518,99694354,3913684998,1862543902,3982478735,2850119816,178841728,6705922576,657786772,1328006020,2644221540,761964216,5177232512,2976385048,6322194184,3998008712,742882776,733399269,3986479200,6472294304,899576480,307017364,2210163210,3892935768,589400775,618521502,2308250908,6096021512,2286282954,7024638488,896649888,4593686112,3172067860,278190463,1378909893,3256555304,189388692,92273409,1440591039,1003231605,2357043012,581451528,8201003868,4514768892,2589409218,147921822,1256191176,4257477882,476497069,1694678356,98234012,5061789858,7512407752,1134852064,3285662891,7199672488,3978815868,3703221060,1680901350,1567921386,1097674200,626888150,6207258911,171347306,1685930224,2856920276,870342054,6467490505,739423718,2923093350,144279936,2090332545,6679476024,2308597692,1748818272,781546623,4496731045,2834339901,2657584002,1017445674,1950584118,581063796,519461274,936292617,5516175798,997012346,2999538432,488727154,4978091363,1743722970,4018463904,2174997955,1868235582,340159728,153055200,5494994776,1136775904,3456175810,3493848210,165029430,881944044,2637406935,428218540,3944007605,2908033520,228356086,1338598425,2229798536,4462454880,1908368648,1679263098,4789514575,6705964643,1803879710,428771980,1563754805,772942643,936899618,5694060357,8064282132,1080519348,2561823333,4546151256,3643883184,3944172168,7118944209,137772690,31541710,5737748052,3471314085,3128897520,5146167342,1110784698,527130576,2103084642,5862057732,170947236,4945258104,4122968096,2310139013,4146835302,2399226939,549272452,351225175,300245824,1505253648,3213696808,849346522,1839235302,3372051396,7109605608,4296682616,3893955030,3486534876,4673476045,3572272345,1530244704,1122865751,4358921040,1175081964,7247786499,5301143739,373363184,118194090,2216673776,700633151,4521250160,3153375666,116561888,6158639400,3511551645,838604100,505859852,1915509646,863323657,14231967,827520574,3473005788,2611684304,2232112998,1462499548,784514941,1882248096,2678025616,3554624972,83604723,3189451144,3474065268,1214608800,410432443,690751640,3787139259,947565925,6947867255,2760431535,719151215,4877357715,756811025,2377299942,280067805,1948041080,769233906,7503623376,3326549728,1227090126,553788408,4410278142,1170011655,328459530,2987923589,4057232056,938339148,2739003786,181324297,1566214932,1858595690,1222957880,295897105,1339610452,2298800649,847322790,134623173,3821204764,3897941068,3247203300,970538978,6591158289,954404702,5200531536,1416785024,470245657,3829288704,237307102,2412464048,4294488384,3075477296,1734857919,1767653672,2045492073,6376168431,233154202,2047581968,1592994538,526970412,120566376,584993521,830798082,1646990961,5742008346,638587720,998362535,3833722700,443436015,2287704576,4984180488,6849368028,1796238444,229225098,3956143590,1912492162,1929076896,2892826833,695439535,2050326546,3546256126,3386058318,36231780,2328495463,4831922225,1353852760,2556640260,5729154066,243943380,2466942891,4385865879,1282785831,5356640367,2493911912,785245760,13936474,262130637,4603499388,4930214010,5044988256,2614727088,186444904,6508602765,602503878,733966710,4589034394,1890852714,653224357,1261269948,1238529936,3512178505,1449374314,4299172375,1605141842,2601555381,5319175827,857358018,1914350733,5775467100,5965823626,3529099578,4781883033,63246114,3747229104,3007784570,290975860,3604070652,2910078570,2521633515,1694832572,1306449310,4810871178,5283039498,5610535868,1788125260,3320626896,2325080367,1834525278,132255737,2645800948,5539250829,2869136355,236318930,2678801412,1434872775,1867117812,2857261668,2086794102,1944445293,5106021263,3176558640,2537235364,5242476240,2290731121,464090715,478312812,1934425270,4986615440,1258016004,788701008,909656955,6523142451,5671413612,1431727840,64035530,943049235,5055227,1959275974,396654912,3989574520,5980395432,4166893824,2457910386,4373370801,705860340,1765675456,718418859,16122634,1174699366,2154234336,3491248176,547427394,2876952125,4748383368,2311867365,4154832496,3682227178,6555525389,1580256432,2339475564,3861481392,3242855343,5426613360,1461528418,690643454,7999321216,3974009392,1281612872,6877935045,3611698398,31843105,6105963800,2079464292,8372985912,7374731922,577372318,5174718283,7385606676,4843834450,2045072248,1932848793,7205981848,925720981,983928104,1572091704,1520231464,3457057788,5150534148,7574379840,1666514230,1924982370,923151956,45589700,5090791580,5414539624,4963772043,136567737,636604578,320773996,6408120879,2740474638,57181055,3548769322,2424464036,773203614,5639596488,535548252,24038500,5075777455,1123794084,1917879555,1113992352,8190468819,380827772,2966807802,992945947,5886846696,2795451435,7991252224,2885120340,644761090,4192537976,407056874,6571233819,20515254,3081974405,516521120,3014700246,2410496640,2852304484,5862994506,1593822656,4667791686,701151388,246593626,997122465,8579837295,1251358083,4163499156,824894022,2058912780,1887712980,550506186,8703567855,2987355448,2430969810,1813790824,1726528111,1414678968,161647192,643749613,2713167555,2334577203,321006366,2940841992,4690761056,1049252370,45652560,797199932,4367706264,3351354546,276826864,5241118509,4717296744,2005464936,1261538229,1321196632,201006225,4721054140,3605952440,451234036,3897897690,953156970,2561325216,164122210,1816984288,6670193814,4612802556,1133363084,697613049,244280278,357864566,1152052551,2270569857,1114231244,5343748371,3845017384,2110543602,1535599020,2759332807,1282267250,1616758089,1888686045,662586883,4549458555,2572618572,973452756,6609369168,835626590,435456756,6367860776,1169850110,1860267282,982868698,1757171493,151470160,3794940704,2784700004,3599578866,812091972,88129108,909679705,5018510244,817639024,142354420,6348442680,5755751113,308202300,539709674,3307974633,5268667038,5665799928,4215740060,4332065112,1819989531,1836198441,3509320899,204713148,4727798404,1386333030,669702668,502538992,1770136300,1997653480,4612166830,2439200732,2717913524,2366890832,2709907272,61220516,1159222368,6917799469,5802435558,266294953,487793883,516765820,3495015025,2398521222,4151586600,1139203640,1400941570,1265767812,1642105906,2038110759,629845938,770386791,1507707178,3891714752,907098567,1893276711,1395722790,6651993752,4606648488,218595144,1144601936,642661892,3690303848,2700844848,1426396476,245950476,1882988940,2133419880,1557787168,867417425,5231689998,754147554,323706488,2933263017,1388479086,515324624,899310360,5823503008,3726086865,1450124856,477512110,63392975,4393366146,851501932,332360916,3925146420,1274058942,326401328,317982140,4623744240,855265176,4732350804,7161899536,996102910,4066654552,3123913476,22479587,4133972394,2896519145,4024515870,4158888666,716467908,1047561732,5944404599,3905762553,2575119846,3278995620,1386414360,1049147008,5235405798,1378392240,2681880120,339027180,2313562684,2484513429,229067751,3170058396,1300254230,3523482760,589596731,1052875701,469787412,4790220972,2286299240,317465317,4388774050,8017093269,486405867,1169124618,1901084988,753381440,635234930,21684976,3374697438,709496010,1899194560,141027789,971614252,2144347936,4100559330,1446728466,163114448,7803194598,1683669035,1553839494,6777769689,3488695616,795203140,978643954,4142165095,220215919,2928948128,214128972,4460221055,945511920,1668153,618204798,4347167571,1255151457,2699115020,1637966958,1058150314,2302816533,2133363088,1406085924,3690739143,916064086,2310570078,1248976374,4576332132,90290532,4789302287,7384896472,282175627,1528125228,175650384,747207111,2898499233,77843118,1260296412,1642005705,111883330,6884844144,3474623646,250193456,1918780932,256577570,454668143,5449504060,5257823193,4056453504,1720272865,3737312352,517232175,1199621650,767574104,77473232,6792865164,1319992290,625426299,4186919884,5716522752,761908452,2170919724,1469353521,1398340551,921783838,7486422948,5467745264,28267024,1415471743,4026719544,2876123492,170108890,3405114132,3967652142,3311993164,8683761447,2880333184,4301417246,5524531915,1795968333,1407559962,682163072,817951300,1878170880,1704636500,2839602972,546002811,3647233362,200438446,3837944020,2999700639,449774629,3409414356,6415411992,5340203622,3442769128,2996351982,6851543464,4155280528,2537668386,2780023883,1488576280,1408877500,342468756,3212899176,679532424,911049008,4016910016,1132930800,3778415406,240059578,676484688,4902790067,5348763966,2770271760,6642561485,647305456,2444862876,5882363784,1807389101,1261754884,1941325112,31182959,987215272,1365242308,100376546,1068841348,5349396294,761073260,1179135304,279419852,1318432708,2645220556,1988686329,4291818543,2378451624,669788084,1534142802,5742803277,3386253717,2419879324,2330624328,5490767044,888447560,1595564823,3157303482,181084057,7001920044,1873854995,1300251776,537721432,3252753290,3411550584,4325382798,2069578512,2023293108,13630486,23762444,672804013,3038746965,485083902,310751262,6452624056,2483878803,420234180,697365882,70494207,5779729032,7824092238,5605837503,862008987,593546864,179626772,817547206,2743415668,2077539600,945396687,890308872,5979945906,92240352,398291672,271048472,4309691260,938945946,126329043,1086790089,3844515435,5975167345,1390679354,1649061172,8203227255,3182542500,4300980265,1483204539,3457134804,3744309096,3545379036,653594414,2802419736,764342484,396353195,1897037808,342037482,2010080236,1984128747,7382789541,1066736460,2148388605,7282386684,3997026072,1810132984,3644831505,1433783192,2172344721,754535090,2787651639,2704537062,6064450602,3369238280,5903438730,8442679491,935101699,3924435594,115477179,465530511,694738800,1432304489,3688811328,2843442111,1005248775,8331465762,274908402,570945868,3557592648,2366423157,118690131,4126875625,973577418,1025640488,1533683196,2430612668,209817633,4772174265,5237425518,1828967880,548788264,380863383,2963447268,2413395964,3389775921,1978242908,1297605702,2426868948,5775769120,168726966,1209965048,1125661105,2847131328,6361238421,419221026,41814389,6967695651,3636039312,2214133347,3213369535,995891909,293821195,481113680,4996528348,446598636,454413760,2414932938,4931219064,7772546889,447157002,5493195288,3679094428,2991604492,538703340,372300772,2557260510,6202807960,743294535,4560030896,1513224330,2460561048,2298458740,4131756020,4572311790,3173836374,1711955376,1422951610,7547564286,3605993772,4256675388,1034175075,2002659084,2334093732,113998889,632385822,631853184,6492947601,5226899192,2514609440,4321309690,2145895608,2072776755,3245403196,1869315014,1316049972,188985608,373095594,742052931,6110929683,6827200016,5466221704,4415713119,1890381474,2675498168,528413840,675888616,1318610695,3783809454,5240342345,5413522534,5636744456,1210346080,2969022815,275538916,740596893,7066701414,732742357,4292193250,280417885,4900271466,45209164,3063340494,4846881995,186520658,2461931436,5362325080,3251612483,1136991528,840442088,3274666764,4456212085,1703246388,5219076992,1837217970,1132782164,1791005658,578906800,5355258984,6401436713,209881185,96477864,162095656,798673532,5003723574,3794414610,5110068678,2573963073,1678862190,2298112230,1294825392,834096795,3688823904,233293443,1475117680,971972554,1550925908,9399492,798223882,566618744,6832567413,6718092208,530694268,5899046712,407644697,3015735192,341207120,396737023,1221968844,2640618644,1819014102,4513476303,3408249596,4227844460,2364172308,4259410365,1590429948,5202226680,118202256,1250601604,181337612,1928546214,1920848768,1905398628,4020832488,2362588830,449447073,1460732382,1729522288,2843010261,764034352,4082699736,685218196,3798594008,5950623870,8191483974,5950596656,1726966395,2325464700,3648275512,2301744276,3480400428,240490999,78858800,408133311,620875976,1512542265,1372185176,2441512216,6876049579,3435592368,3919570308,1978625019,5298362784,349452186,1230304932,7484034632,4769953657,8908085448,466874896,342572220,2978199888,7362499072,4854744874,1654641656,2421341048,58990424,1306488945,635842413,2244309198,6207763667,251742957,2696131230,1177134378,7541250136,1786788336,815794365,3407997985,3777559116,694409785,5472473664,3963104550,1806230829,4316947990,122175742,5575694859,1814185272,684054950,3485634362,3483130768,3097043145,1752258772,3797607768,3646080808,2090114964,1571670498,825093528,4847683218,931362080,238361206,484697061,700009013,28323855,2573951154,947423828,414593355,7463877496,3498939222,1198957404,2890091755,3405445035,3807373570,621348168,2303770629,174482480,62298608,1713226602,1358299126,445727177,393748974,3440054124,2653766836,483677623,664632189,7848336411,5501126526,74089836,1320599943,3845740056,4605837208,2462219976,3467529470,3358247688,3702995786,1338785700,642351394,243255306,524935996,3711403068,482988617,773056676,783365877,6859655691,1371141984,942136236,1888776920,4487164570,2070438672,1761434508,512078496,5092699788,1162864680,2045621850,349857928,1737574616,698306778,952182316,2432453622,1520032376,1361550288,7936911648,4317432426,106169443,213159522,1486737054,1825502794,2898419904,3940960770,825184020,2831392638,937754416,563615416,16739979,5190862572,31726078,369568998,196698804,477999578,5772407512,2715568752,4148104576,950914840,3314780874,4484121708,7509903608,3107318248,650170512,1598467509,348533334,1880803036,870763596,2228443452,2488069377,3454757692,6228186279,1462494052,1229932485,3255930225,2006565312,943345797,1704120300,5359804163,7274893563,1923872385,511645417,2307773463,2707096113,2558177565,2167620861,353169852,166634340,1693708290,138469952,753178823,261817968,481185184,2175585813,1235529115,1281020766,1904418114,2586951536,2891093872,4173428217,341817141,5394474060,409053650,540278592,1137156438,435019805,5857150912,901157896,6854700780,3509090868,88266103,2998276384,25311645,2443059185,3083432931,6787965735,1061389917,3519307480,222498088,3480465654,1012610289,465332813,5636781878,3242672260,1127113915,3636127880,1493649920,251070786,6240119000,1880037328,2130027858,2196129078,994930980,863219035,4136763330,1695342645,309029846,5706114708,886093268,2660624732,4697420115,266562320,287175984,643193423,2530374408,2930645403,167846544,6807985,5302296966,3846620464,1859651910,4839944913,1814959506,4482720760,399743206,901293022,3230588960,1102279713,215640970,1693470771,4182305040,826695805,3204868527,638426364,6625819611,6926104848,550935070,332887992,2561329775,3900820192,1120939588,882875970,427824496,1664649225,5260465704,1798613636,2210223138,2113323016,4341037624,2637298088,6016345041,2321658860,5158826478,543582688,2624000544,100583423,5619756590,2105114346,4702300176,430464468,2184544072,1405150240,2413587750,2844628062,4806122244,610119057,72859647,2834048943,1721458365,693823416,2930180817,2442145620,4116652393,3074490680,517925652,205356316,891927540,1246630644,7585411311,16932494,2355623245,1921781805,3630436056,3535992512,1073211601,2747109435,5748975117,345135636,3120198592,3685224985,594119058,7249489336,98350627,660170196,356877544,1290458526,36762997,1596639124,188403470,994761280,561135348,486051750,690917232,1175710900,26948705,879969677,207349804,5460460614,3655151685,4297557150,2768966024,1334939958,1375832384,794416690,180642800,776574785,3982529154,2281116736,1194973980,2705487232,1037833440,1958565888,929201694,7000093512,2205384976,6692122232,2701939765,192998835,8570742552,1987498700,909059398,3137775595,72177197,688729006,7639507764,1543581510,789182317,441880530,50222823,6161063296,4540782150,4679945396,763564724,907101672,23790768,2002537604,186779308,1171062072,1090211106,5794433883,5760598446,6238601736,2874588486,815962432,5551875368,2850531711,1165884336,1323408330,70479198,1560352656,24682324,2864925048,3766062855,172889341,143598788,1730510124,2635977883,27283786,1224868704,1529202744,1355228800,6902047544,3949445208,5115138480,8694465210,742586577,530759121,3129160428,2901420771,1143781790,858686646,2025426325,1944186609,1166545754,2429618760,269947676,5031744390,245546011,684320570,27064890,2249183499,55434249,1777058255,3758569344,457773204,2861895235,3638059884,4596564245,565600477,1793056080,3182562040,480338088,4779292710,1902268752,6924566453,1268180964,767589216,30305103,4445470230,4614102315,1055072072,4160523456,680077773,5096610090,3710728795,2313336296,421371233,1638449288,917286254,2793678990,173959482,4102309350,4298264395,6956894456,332712496,6781646052,3096700288,5591982392,2525760960,2498115996,3350134452,346570185,105468093,3949592661,8728042203,5390002413,321927916,586538124,2382721432,4582732818,4492131496,1203656864,5406181704,185757258,1359947608,6424506767,2530406196,915350856,1531917678,529390592,1351180713,327209674,7978832432,2666988420,324436837,1892237496,3945129800,2044038744,71002066,480576476,1641768994,1654876708,4204263714,1186087941,5083868352,1327608296,1417759275,540852614,2575915544,616682692,2034192843,3686042270,2732012982,3017492305,910373432,638124378,320785496,8322950763,3804636798,439027815,4535143490,80570770,1195962588,4425785056,5590976028,6409464448,2109148239,4455275442,158376524,700284754,352423534,2901456162,68390172,50792826,33140746,2480575929,761061426,1208374935,1350576873,2134713960,3145203924,3143920650,3629394520,6148568370,2763783342,830710450,5711023976,1434777815,627303109,2075207193,2412945978,7316879202,751936656,649007066,3873915788,1400127402,1305848898,4574869920,2986706376,5918155824,4639815450,2667706364,16757649,1664841536,2068762488,1778778009,693510192,2127802730,5280818529,2621016432,1201714764,4966801884,5729710072,1299287904,107418112,4527277956,812865991,789239808,1324532048,614418522,558172990,5808217698,542308620,540714122,665074509,808428294,7065824598,3495179376,641390227,969089009,1999593408,409741140,877729611,805563661,301393247,962876104,608121958,697523250,3097577720,3647798210,1970859474,700674567,7045949196,7348432122,3252963704,2199912393,42681142,2644232034,256863410,821088685,507317460,3006605112,1062647853,489370752,4620253869,1329221622,859165317,2969974136,3279910578,1329715026,6611686092,564367076,2333275049,468420713,7565886900,1095346722,2969829345,3333678278,4815041555,293074055,6719756536,867096896,963599334,2026674279,7058402676,3496213134,1364382044,978364332,1848870688,1897614243,1403189697,3044958840,3751403922,2082702896,6926718960,1134473680,618546336,258132413,4219425895,4540188870,3291583498,6889238286,2064451615,1257890554,1276708055,392643874,635360410,2910797925,3608808924,5877957996,3687793464,1749897418,3347780844,903412282,309430447,2323825755,1710509924,1794404634,877045797,611670327,4125871160,2619898542,138080735,1092737517,734928584,34378756,6357809016,243425689,1975530780,580152786,6843167331,239097006,2601927474,6973923747,2014952943,5812309881,1260893800,4835826952,590549695,203003445,302715022,4778785536,1893726444,1590686874,4517057832,829320968,774889385,3855867715,4420547537,2610930720,3009339060,3768382912,2871669546,3047099004,483840538,491152780,1639464890,2524299180,397052879,176713520,168977873,1020137976,2895009976,3851813795,308587490,3979569540,5519657124,1276877586,6798531978,2510412008,723318669,4514410168,2506332550,1682840770,6720074072,2284824080,387511061,671188616,3737695412,418844340,1571009970,2958022389,6910845578,2766872588,1694136647,7160480451,3929045778,2852667624,2431448584,2280278798,1650368646,2257687130,1391367930,3607822852,1920862902,412504966,1739284308,1110589080,2108992710,854749105,2090121655,376103300,2621965017,1464050076,5770898046,126249370,872274650,1558669070,1090105765,193129802,1075623054,1926786072,270253207,490790791,1459327370,5773938520,3222908672,2450548970,5521401912,123590006,202027498,3777051509,4141633279,3395681350,3663265926,4242330144,4818291716,729490478,4469706080,3845987964,1102268130,1368718188,3827917680,1666992858,5244786918,795249902,1153198728,355591520,388789808,2834637561,1475221864,1239605565,1674577832,509163321,6833100512,2678863296,3142449708,2561948676,1394359362,1221762188,477431045,603800184,1393269270,1731118827,4646371896,2361848904,480370168,842908175,3404095152,1632110388,1588823052,436290963,2222750916,491920069,1821751365,1261895202,153451158,3000208624,41303916,1445826962,2265928574,2604848958,3082006971,5685392748,7388386,668042326,859389555,272663032,1034822703,2293336260,183169470,4848185713,607641027,2750025244,2274615618,584359892,531724400,443778247,2296139995,3349417800,2727854584,148475625,9080220,894240808,1530836100,2847264345,775880784,1211947562,904638156,73801466,383686585,5799266559,501927327,6195500802,2913397828,3643481712,2071858700,2468856232,6861781269,504636992,1818872776,5484819735,2716991460,1865484705,1159993552,2337207306,252248272,4776269960,202874078,1548169155,4836787660,1425249756,224029274,3450260264,1782662848,1861953414,845923508,967733838,749168196,540005694,1959853512,2460880282,3621991368,2753577488,460239080,3921092520,4857444785,1895248817,2418042780,1277544432,524692734,1252954500,1838382478,3067613805,2242229801,581619924,5251909170,4333134449,5577351237,248814552,1082699691,805080687,93414426,1635797532,966355018,250389819,1377379168,5938134083,4699075248,840158495,3271722464,5723976609,3891438180,1545120558,790619658,1512156348,2663259444,779241796,636858354,2092196451,520602719,1483432335,330182822,3309333664,8602850241,6185010153,611143708,1623359269,2922185202,3745224575,868443590,1438575369,7667206677,4541715760,899736768,4023457119,2998878300,1567721946,1394879304,3214852660,5505417189,835036486,144453417,3558690980,4783341682,5130092863,1807932455,8658747603,598382355,7396068960,410422885,589902160,4502089818,2621916615,5518205088,3221426106,3353540132,4974142293,986637889,110580134,4073608635,2081646260,665668130,3770002384,4555394288,6582919120,337763920,1491675764,2899880936,461051525,246418880,5690914602,5413466380,1231816506,2745082952,6323060730,1107610560,4095724362,71656930,5056206,1159332458,985005200,1475079872,3497064473,4755772125,5700053562,5321193684,450790950,4868635920,4136553885,5625373923,3642693725,1152259330,5599804638,879414039,3762584624,1200164931,2439486303,6846497000,2020410726,3445836065,3650242505,6545272824,474395994,1625621148,1747662075,3965538292,2093835008,195012045,2203288804,1644888324,3227253635,2806081216,5121253784,1673257926,3680374310,4956266808,3948993153,5048606689,5779237404,750416525,3560085684,2716377083,1000253448,1193180125,691558880,1954773988,7424749184,3053598525,1708261950,1817321304,2370041427,335478048,423722322,1002806048,455869856,6960598288,7665151192,325812068,550975808,4796365440,491413420,1936812540,4273697470,225555093,4427623335,323334658,390245284,6459179650,817074243,1742013184,803215113,1752161758,223608379,75881010,1873938105,4014956060,3348474500,742618086,2859190988,182156170,432187569,2621174040,3536093490,3244881990,2371118451,4037032559,554836688,2945090040,1418438700,5040239028,574577992,1661098566,191650568,1299604552,262246680,6792921856,572425762,169129566,97392186,1005964944,6603863144,612646273,4831046178,8662902102,5156740554,2887187736,85643007,3422177550,2875238840,180549427,1965725480,251674616,2889821484,1711134568,2884691670,2424678625,2339989011,5487873048,5608035510,1301084226,849029212,936186574,2316941778,2441571990,4534019696,120402190,1768417068,52939868,4431551148,5623040888,2598497752,1602513216,771994368,1441469166,333623316,980335760,3674359420,2880467739,540582940,965531242,378279735,1265527277,2453126300,704732478,1108834704,1803026592,841939956,704165552,818319299,1667616069,1433508192,3600780132,3957275588,757749669,1286086164,40340196,2871810156,5244482592,3412758816,4430327305,973009289,1521555748,3438925415,3772688136,411673010,2637875403,3989503240,369984831,3929357760,360831586,4643758296,897536085,845979303,2846212080,495244570,1264723962,1457308896,3801681716,300062930,794546496,802325106,7602123339,1455163164,5983793142,2491781811,2538519160,4610484200,150347148,437762555,1457121258,915976298,128783310,1090168146,2767567122,8237896020,2660629924,845698674,57987006,554725092,5916493485,390096172,51026160,1473611083,3718135590,1701335328,5978606459,4383099042,78174096,386927920,2455192248,5322644530,1634785176,4918215780,5263302344,4872426129,7676657892,131722176,225068780,2368579962,347544624,722868622,1236461310,2012080180,1756602900,4559063500,3213540360,224541696,1691545248,200375278,2820102705,4980919734,1580441064,2208752756,2079650763,2953395612,148835820,523569256,882673858,3962448415,3386410950,6758087859,187813296,3746016288,372239082,2685611160,1023977370,536447844,2250629056,948375528,1817862236,5501441262,196895072,4185464936,955711222,1730442285,1302838580,4142876975,2852920962,5515130316,7006071384,1106719842,7945022368,1227683940,2082017145,643990550,861662034,1900665266,4273209129,2749365474,660570008,156459390,525199514,5909824592,1024451019,1072308552,5989074464,2105696736,2033310666,114720075,662717576,851601296,2035805468,1831769632,3384802255,3092745340,1026630062,4870901184,2316510436,4416280515,3138755636,5480254112,2493556173,356222304,2318566920,4231915002,228365576,758418920,5667479292,1807954442,685559775,247003944,3273198616,256678426,2970055359,1981222576,4571086365,1715486024,4801574255,313238357,2677934838,3825291156,2143390128,2587207240,3799445970,5769779968,1358252700,1162944080,152329765,4331231874,3435958467,7358317857,1275298128,581867260,2979960687,4239978904,4012915215,95106245,97384521,3310619424,3416722100,5543509032,6707859382,2642370325,889009328,459204410,3034568456,2076064944,1757994252,448740120,1535184063,7048720728,867697820,1883225422,358108017,4534737740,7869846160,2229978594,1238989332,7540247168,3896972862,6882426552,4094987544,703422412,2682867965,4118805510,958715612,1063315530,3145323960,5730139377,1921016568,5740887534,5785521553,202778328,3204392639,3330457296,378256684,992482404,2876177868,1699326330,2052197064,693963447,8958924648,308612238,3518930382,572327586,993601350,2004888844,3058844838,1889953345,265769530,5490436326,761397925,4192929153,7164437319,3702837804,5219924481,4418527585,1176727978,5613605376,1933941480,582830369,2014417545,666465160,5903844160,5669251614,501328551,2406553608,2742282990,1372317010,4807327616,1075435214,510732432,2226378795,1327216905,4908909035,1786965478,1370647472,4569735096,980690160,146739794,4599484204,1835751762,5408343032,165004337,700292550,2677885835,2094142170,2512559781,849158115,4321211580,1977449130,3859222656,3594970068,355423634,6671728832,1052819460,71318254,392523223,2974042648,405135530,63043427,474533015,4581359408,4261815685,837382902,109755884,5834020356,253774913,168599075,4648625775,1595472936,1964936112,3404553012,2135810643,2294124804,878309349,157955283,1146789702,424664448,640257208,1177977184,1350309080,986456856,1746159120,2120743505,868495144,576281725,5390742726,6271335,2896758951,7946089808,4264973559,2017081175,2157063615,1655544975,759122224,286386527,188914614,5103841463,5880337170,12377227,775767474,740892105,1061537673,237588426,2321178336,2885636456,856266150,2107070610,437157744,4795184752,7826174192,1272230076,286996338,4517673696,1154516916,213538316,1712734876,2912831040,779656102,1978885540,1349363517,2764262784,72905576,4705684448,1643803728,305323765,1031498020,1233355670,355678083,1987416686,1082474301,5361310332,3662797482,1438658253,1801786756,130362168,621647721,2311850632,3759974492,3887304804,2986264108,1082900976,1454105536,5433470136,5174116871,1604803221,134905099,624963345,927701027,2830723889,3596031603,6118611527,1886612616,32539398,799924703,489629980,488268000,1569613450,2530888227,996684410,3569858214,307698030,801828612,4125299076,4112128350,154925528,1199745615,3944766490,4699863476,935208184,3668493864,6094680907,6436922072,3839280668,52659780,560397699,856180179,3825027450,3920459700,3978023904,905465705,1873588300,2839455411,1710848372,816336915,1320441258,989642662,1521618868,3541177332,1617535095,1920927504,317905140,1673747004,2099575808,3405102036,2980005705,4204292352,3423305207,2252439048,397590614,5262241386,1006891188,701380344,781455058,1939743180,5755958280,547190513,92049300,6293274379,2816982531,4525855600,688640492,276576049,1320939430,1869303040,518722336,6778991840,2678793173,3303358990,699090927,3022778196,906385398,1809942232,2556868596,184981940,424799198,845464992,3706650670,489453404,345079150,1355103692,519487585,5256850109,616652054,2424176816,6689552310,777907998,1847144922,5836182810,154367868,359751820,2799389276,2485799412,157808704,4165708584,1364821796,1887398310,337639506,1915567617,3771840155,23524456,26158909,3534441840,1688656249,3183236784,1018098453,2698875384,54672237,609097148,1525352290,393684658,1251750480,3707061743,835221605,749087842,473495486,576146473,4731082740,730772690,4676101350,115763814,1784633860,892346868,5238779568,859440141,273711412,274611108,5832668286,2897081229,3874650010,779270765,1937014960,5693014377,2948151335,1131276882,664991532,2225580416,4173907948,608887689,1571383904,953743239,4116982464,5916292921,1043705764,1516133754,3612580180,4031295258,4051420320,1571931032,7798032456,1207921316,5745417496,1556313144,689598084,6393319765,3401809911,1641555591,3523693572,1050335829,3525234174,1361772858,886251210,539119915,1536974480,1043698356,6509634600,5574925494,6954299008,3516481050,1730802708,3333347365,2996786665,2489308467,3818199465,1490143540,1057550964,2356600683,896086732,1695806052,1195947224,2680715820,1386731790,682829286,3431791016,468302838,4631083008,622083084,104413005,350396478,608089848,2782844697,7283936352,2467707726,286412538,1697647716,5787700668,813604270,4586275795,374410832,971062129,714109320,8803078704,454200250,161249216,3526485284,5562894390,651028218,24313450,472469931,169672834,4020644445,3569752944,2087310780,1308054505,1349259548,2329196214,2037857823,566639536,2430862742,2725973100,692426136,4913241125,2972852025,7788984903,389331418,48672320,5963416249,3350212572,100600030,4620662505,8802360279,815454472,4780544762,295612254,1725638481,2733169830,4360976735,505468915,379852980,2414292117,2085228231,1375302687,3468237258,6581560432,6118772695,2546249145,1082383234,4301077605,759660080,1202568321,609969390,1406566887,1383550940,268847186,981576311,2752013692,1230564459,897826835,1001585508,2424879072,2110640976,3819512354,4403148728,506344887,4146910443,3361697656,1022691780,224036675,2805755130,4519483728,1567631980,1156888376,3509775936,4685337070,869342584,1601905076,815214869,680827662,1783510000,274007852,5567888043,869318924,3096529900,3425315022,335177130,154983871,3966106104,838798441,148231346,1763498950,5817574826,4920797415,3311151186,4427791081,839224047,835775963,3627154530,451456228,6226649224,764841864,1391648962,7915920129,691580616,1150227888,1945859988,3609148816,3644463840,5179411422,295939702,3847741072,510506223,5096859920,2137674536,2437092240,610198192,1432350624,598723038,5676921257,1270386458,1731749285,1412807038,3181276038,458371885,638628467,5412627270,1556944068,3232755168,4229056395,6252235208,181131106,4608900944,1342203568,2414617030,311551114,2356588805,3237318660,4054979130,259571967,2117479194,6896767633,1776307832,3696223377,2439491440,1713353500,2528045552,5951500362,1890566236,4485353751,6580893987,659565440,7540199584,265298244,840966678,3629540230,5875520296,5609197308,4554470473,2236111432,4892291790,3993868990,390326552,3576526085,272349299,5426820992,721942093,224769600,188531080,1718112843,6877522806,3376556730,762142458,4898627886,1815764522,1584410920,2614111344,1177983488,5350039713,199230820,1509193434,2294223945,5685543164,1634536170,2190133722,1496079760,3198662310,1917219640,5206392888,546784000,218281245,3087798847,2977954770,992895475,2538940032,6545865600,1471428200,7058998656,2354935755,6422677121,477896560,3355129004,1378411650,577078402,3407467585,5024851266,3279743984,6907657638,1159028144,4344009750,3712468576,273962184,7746210486,3206616592,1073680332,3743188365,7427012940,2787153531,6408984832,610444112,7420946238,5359610214,5863789665,2630985444,277087600,175033335,1123722638,848167644,1182831660,4247636635,2346358188,2225698965,1870824072,1395214756,1396282310,1636055592,6669898025,7370304136,2975481365,2660571195,1266562323,2324726475,247321572,2795813844,4815159752,2304900954,3693522154,1632109234,7659483944,2375789864,1939716520,6606182695,3559114528,3143814712,4956417020,2582569997,6223408640,2493134163,4609888388,963295564,1709276648,2138365152,1031929824,73306782,896205209,4118743710,7919489376,343899557,6690977440,2678336028,5535810387,208949988,438234759,6881207880,276660189,1542604755,1888291694,2116810712,742515196,2996212170,1179113752,1476485490,37971886,427578384,2544205111,971328302,1139327058,2726281873,1933386690,3671217472,2738152368,2539161716,663148602,6447522760,1918672578,5200530486,954754860,2679181803,6949708605,688720896,1946341788,3005013856,245427819,3107700762,3139335256,6195514905,2822802395,227439962,1910448159,1294664130,3720838490,3246766292,5381082444,1946968750,378959713,881029264,5298925832,903588984,3218442740,1984779476,2901399057,4945882753,3197281297,2848786164,231266445,2015794740,471150243,199467250,5585226605,801880357,3808223818,2507317452,40199990,6392241485,25821162,271638951,921385955,654495296,437603675,1628235963,1897706493,1756719825,1490113678,2751131955,1080051849,486181458,1639447106,1680231831,399934210,3962879052,738425256,3406288480,272099935,890512840,5476694418,1652154108,384799320,1470896912,3114238524,1196535893,2363202628,78165654,421792452,2640343762,2751326415,1106675186,5081556571,886209948,754673391,3548629152,4342004120,3291396878,211901175,4884244720,1457232825,415249467,555192192,423909088,6556307643,1554437888,3757627820,8480975823,3284249824,4466650220,689001728,1458117200,1085762640,538544400,2101974777,1350918306,3542179674,776464545,1242050060,3219928495,4339008535,547737332,1629100988,1617345148,5419485798,1514116794,1971944134,3997704141,429810795,845770257,641939207,1761491262,2075650787,314103700,1897896210,1726385844,1102171500,26095968,4321973250,413799042,675873027,794658900,1211017476,2778374997,1956418120,168769514,4105965528,1273763022,8321126490,4492051065,3837759308,3473242696,4010753928,1821472310,1815571584,4694658770,1941271920,2015417691,5636993040,5514793949,2972193564,2508062872,666340749,88060530,324824413,708979729,2394003680,2009512833,329489024,1601862898,3625636410,4886145696,3561882415,2228695044,1542904892,6771209137,427091114,978469142,3899755692,5443885472,1376182026,695590378,3567657548,594959702,484715040,1566249352,2645735456,2822835205,734189604,7974183366,3623204255,2378910550,1271065095,2585601140,6635190856,5220972660,1285779460,655927788,2445142140,1517917742,873464038,2064750996,4368047580,3799542156,3005740784,912699130,3175734870,3378370509,1592523168,890579595,485670614,1034901200,1958073906,5750992744,2143335564,2023535370,534769267,613687198,829123988,88873167,2939421068,1906031073,6525413172,1891649604,2345750616,870800668,2862106890,3259736394,704468800,2313696988,2726692776,1721856525,3709642536,5769611376,2528779551,794885809,1656700080,914379479,298875420,2794972254,1817143314,3850652075,318389853,7996833180,1997527852,741908504,1912325562,4195920590,7031228571,2777386880,4596673152,503766062,61821930,415927202,5588581572,5875586536,4376565780,2927101911,736157346,369647746,7532578968,1103960826,3108153948,5649014742,878127455,77962216,1491585651,1535376040,6150604446,4592684016,2927989316,3286509920,2180374440,711849804,974375685,1312797532,6266944024,133736625,1978259496,4231263700,3922608445,2625763100,2737827261,5626886160,3843795795,4681097920,1407404674,6121490032,335217422,7764733264,2891484510,3678821718,57316215,808686755,3813399564,863077019,1219973640,5283877329,3395739444,1087975252,3120554285,1646734398,5317397694,1650432112,333445716,2699822516,506144092,91976260,3404370115,2190155096,654253408,346280468,2822597920,6042937149,2079429288,8970947451,3603182304,3466229403,193805965,1831167240,1621121607,691040403,3934210140,2439756291,2009802105,5572080857,825425024,1037832552,694896171,8514598392,2409915696,4551231210,266223370,2494005354,417292918,2365737255,2452290796,2532716914,7057853154,406371308,1939246316,3065538147,981251943,915640474,2867527040,1129442620,3184842045,511589514,4711109102,1657595594,7526176376,3663719016,3624386752,2408365293,6282402219,1451964185,3822823048,2894255820,4091790176,329963834,6748636083,402270464,1946822116,2541859675,3926247328,5948671338,1931491414,16548861,2996088579,3197526448,740724948,4459091742,2919415788,977441649,3926182900,592755386,2604432156,1845486788,2434590348,2449921989,6156293255,4544704570,887525284,315991678,1381366444,2014193755,3788262657,582727384,1059140524,3407168384,4898474315,6383663573,2621848800,773606694,1346912386,6908779801,3689279810,833226240,4962791540,295222546,6525659320,5504465582,2677519812,417315191,4119033702,137583800,2246473685,712014848,3424925580,5244853012,2127592005,4139807308,690562040,2178616353,4809300328,2846862152,4400403816,885163892,1388871252,752429012,7037914720,3408330820,2846129305,6580198758,67990787,2968825482,139969728,1720337142,4624533046,3776509310,6397480035,1068089148,1374143412,3945245225,4666410664,2180897268,499182498,4748006809,1854462526,778073640,2176367892,2382493253,2130428148,943972230,94682467,83427168,2214297068,1647203196,4954122278,1402257021,256130121,324850264,636468170,798511488,311874867,426738151,747080817,731363854,1122711476,6717712896,401018708,1974450528,5077240032,1224556456,600279965,4197328989,1397592090,1505757575,371528344,635993088,506792499,1662269592,6147683880,3092983960,1152761694,151944867,3080895024,543083050,4891653414,605671601,689874994,363381090,664126296,5146168530,568542934,2051015840,1296131900,1896057018,1113023612,1863886602,139758880,399597240,4387854032,2746982660,743353120,2712598776,3993438816,646111644,4496626344,4781189016,262677861,704240160,408925848,5451592419,5834941974,4803982946,2705702022,2829217025,2624190472,9502275,1094366555,2003063464,752924232,291245070,5134776930,24626934,3642478760,2600102148,864458680,5765509683,848654306,3316083274,2715640160,5083365791,295771458,5687491110,2703459384,881254477,4851164710,461213067,1457108457,6157045818,3110416232,3120299838,6402036456,3915203708,2957082075,1461057648,471604208,6689886287,5092236448,32360734,4618932540,305857857,8125463673,1297765750,123174874,5448689064,2383929620,1284711445,5778581715,141680824,4081767310,5503556604,2954483485,1174908412,1637353926,417840101,1777751868,941739810,414095832,882545832,747301513,864597190,2296419881,6242169906,621429327,2510510168,2763232446,467205515,169506009,2840569557,598714816,4246969938,3980855187,1620045896,3383682504,2652667392,682968408,4790172185,2074264641,1341265390,960864464,5214670893,1072679928,2453341389,5115848067,732535644,2621422062,4816930632,4252487345,630837987,1527792194,1309769904,431014120,3430679890,3933502210,7405098,3124639984,430177472,1532811895,2163227290,630381920,1251223608,912040890,6302846224,4770076872,7895665557,6366254544,809986041,516427280,4493156352,5529877262,6956040600,359170758,4785967032,1320410877,2034564147,2691891850,2449497070,552535615,933640199,2080641068,3377450412,4540722470,3761404315,132822107,4992914100,4303925535,1103636225,2287142960,568925740,3288155324,1016453165,674126489,744950376,4614424256,1601618625,2506982530,2580397965,474626696,159251538,5050580586,1474970046,6935191720,534763690,468760857,342416205,1678955068,3552599638,429346133,1359058075,794405470,951634718,289804132,1358940023,2511056864,8271044262,3643989752,224999080,1408846392,2163025425,3046908426,2957149340,1603827800,1405945878,2823128031,44487968,1353647211,3022883520,4195960280,769217750,811938044,3542323050,1772627604,1673553764,2919645690,6032122016,2696880914,4400642765,5681757366,727092888,2716867968,983531340,6907166420,567912906,7141647258,2083031106,3849139688,6908974947,702150543,1917518607,4322628445,4412798814,1859539806,2965682094,1285637673,3507852240,4630265352,4621727852,3077984308,3695098876,3733397430,7253229015,2695933044,4375847665,832819987,7013179971,6124106799,1090371288,3695336855,2227283508,5718738702,996518866,1044454124,519163794,5185542966,505526814,8384248575,8992408806,2422621496,604666046,580997274,1789863168,1875684000,3211143216,1146435026,697236244,1223596882,4723721154,1393177854,463254736,1979212862,5172300765,3946765974,1423905062,4030992861,4924117890,1465141480,1910783000,2797422896,2259280818,5210904042,539691007,114819730,5777509194,1014335780,1764838272,873375564,343805112,935081994,7361736856,3631855572,295385499,304694388,3945611664,4245699456,1842290546,2472774696,7974298928,2350106619,3185053370,2169073620,700509315,1233901126,4272229720,5577024240,202685136,7250704803,312270221,3521027538,2292210210,620516960,283516575,4384595268,2844573105,1207161264,198877356,321621020,4623041448,3303627240,5074500072,1248559106,2707210116,232924377,3465313805,1619878796,1290765120,5271398508,2703369592,1129879242,1087873236,5883477985,5815942224,277807272,653344260,2450865711,4351441500,3130872136,1424749808,3912709682,20634558,752703708,266379004,5399807832,2797667552,107072485,1349670840,3046820088,5080791462,1726752936,1808496357,2662452834,2609466960,3992177147,1968244712,4062574205,7745215680,308749825,2979453585,5085063999,4538103174,2151189354,3002417957,3947561922,3672604864,2764999689,292686549,3386987515,4959790615,3921547050,1089987208,3554191060,5199192208,396071843,7140208509,659758699,4618226268,1329236735,3318814968,1934172920,1391302490,5411526054,283404090,1840455570,4342045428,8738320,3530178824,3635574576,4052682936,1891951456,2043661593,2060289960,1196037784,865416447,816100610,2446943275,5817928284,3129376775,1942594135,719916239,2102260292,156104485,261567352,3767751280,2471417799,5750023916,2493522162,4951415168,3028036120,187594456,476202836,1805133744,7547762416,3884497196,2539074950,3004422030,392558662,828141556,682857376,184324269,815881750,4840120752,5091030903,545620191,352561106,4609618435,403596004,6014162434,437418194,2370902972,632252397,893936240,3227581974,1794477950,1468452768,2214136716,6932095328,4446996306,2648780352,6229539631,6921634887,2244256952,108013896,1887074794,6845904315,4074129108,1303300730,2374315804,4664502930,506320975,617968008,6533137037,1524128652,716098936,534592119,5308043556,1499695755,562924248,690845355,752388375,1664611949,3545379306,5302989882,6205587816,774611416,2585002184,3589896212,1598048072,1860635900,566094124,64427508,2021125158,1701129860,3538526922,2466342176,2809464528,5471102756,3886132048,4673098563,3599108112,363092348,2131156809,254732127,842710384,5264837641,2801999049,869449042,7770789108,2035650528,4049498344,432292940,39643946,1707941564,1006981137,4242800457,6632195696,3569738165,1316221192,3973482940,7243539939,754189562,373995416,2704034912,4590221040,312347180,2051293125,5812579017,58177209,3233699120,2931766512,5217872538,2950883592,2097062140,1200872721,5331217759,1604473800,5898334968,2358783910,6106098432,4634190207,5281553004,1037268152,3603500960,6461950075,1062901824,1214485204,7594016409,784447632,4700620090,1060199430,687474952,3058361982,2814790488,681097744,957551800,5028105738,3425055760,829045186,3905234296,344243017,1389780576,1076301746,2586494480,335677580,779848650,1764831676,1537359976,7417637361,198487374,2587763784,511494316,771104036,976532925,2980154980,380792070,151347066,1532323572,1782700500,353687300,1755494448,435657785,684085046,3285515637,445923526,4090201356,3928714596,5287404006,6728502501,1889746348,2725047894,2541882060,8930251692,469450984,5888347848,2517244058,233459994,6086831679,4173988315,1188429858,4260591006,6245976926,692652876,3291267132,2810709405,1514214030,3869653228,8722617201,7030697016,1200041360,5874870138,1093736556,2024540535,751061795,4530999882,719900659,476279685,2906016840,1565587530,1774474092,3928646132,4279718772,6108511096,958801668,1106572200,395219716,2097726355,907661055,1370579952,4029784717,3604262175,312029485,2969770695,1319348848,3842652936,764442024,2300776248,308767416,2037677130,909889914,990704480,1360374421,7283229096,2193006600,6254969203,424289465,2112178284,4400764767,146879439,2549753596,8407604556,8466229305,2048711270,681269062,73596419,364953832,210614054,7180152,2899715212,3054056412,1717974088,2221102639,145361576,982336905,8344440333,4482879282,186226460,815054050,2642095835,764909441,720288207,1514953885,252162760,1353300250,3684332760,5209439514,2394292803,1648330131,46274444,4446840870,2442464984,6283214536,5221080672,4478083164,1621712874,686232703,3941166285,4216185620,289803219,1726090941,5745009954,5906663848,2170365352,4108616610,216509843,1889819812,3480040316,3395852397,145299422,2624132169,4575698200,2354159944,499917209,3580413462,3688258016,3063856,2486850790,1929673140,4723272552,1282449854,128892584,7231680927,2147951670,1356544362,3711108664,4049391717,1046717388,3915681200,706666206,701338273,5738461701,42744118,273052416,1893201000,2944864644,7061266989,3335008880,1851430340,1031946780,2057410784,2004130050,3837489940,198570290,2723821590,74445052,422830336,952920297,1560750985,2076123440,3911313390,334917328,364753732,869910412,2285384220,2167713700,7733971350,480235967,1403898126,8333302221,6086110304,4204330068,259455048,2588112690,2390362656,5566679592,950158902,3312146312,2538974960,915282062,1258474592,1918791462,924975336,825858677,2149699790,4135183272,1382260545,8412017598,58996886,3224782372,3336041544,3809616972,2531029005,1422429750,8001783450,717028950,1447574508,495850756,286134622,3464677971,979735588,2654384472,749156413,677611597,2025903642,4877947260,2328594516,1561081970,2805966630,7071894756,4280543582,4666883490,6068226384,2682756000,2150162958,1958409460,2383895668,763475644,5671344609,1082849640,1000273590,4744191221,7091849583,2619097395,291046702,5933377782,341036444,4575753310,900692448,249545874,4217109036,7222742824,3836794180,5023938600,1358722992,2412727800,711604812,5025664662,3149385126,4561056792,3755861690,765953031,570173572,500966325,244429764,1334045277,1779571818,925428970,367531605,3580802156,1123889562,5763601564,3976310272,1698249850,1934490775,1766842668,1281518498,3280498120,985428388,151264112,1606926560,3653158040,245768609,847613448,1912155807,868617748,392919300,2144073368,4698670788,654431427,1451588952,4105647765,2219558976,5557120590,3855158736,425041332,7862695569,6082889888,348945528,2827674052,2104752042,4784087392,8540810019,207240201,3964845270,1100804202,1926539070,6385590778,3884469308,1250888562,2253525270,2486882475,2454224780,18524760,3533073320,2347672887,1554178192,3376909396,7802830640,3147985836,3501578740,666342739,4708730663,5394289775,1906887222,8118877689,1404698582,5340894312,555413187,845209202,755240672,1758484546,2314600920,8891664444,135586476,7395125008,4462132308,4238362512,1500347714,2029233675,144552527,4808040295,2341646300,6079863600,5473894232,5556168877,3379059486,423741435,6258525280,927362516,180890468,5772103162,4684829526,313420254,1521145717,533009848,3485893056,7304016420,5345489264,7920474399,526552196,3609829010,3857541945,1426397626,3498918056,1057996616,2818925598,2306440692,2904915060,3185973072,2199978708,1331637381,528343230,2033419020,12659508,3143877024,2698245432,5004229212,1069202304,3677647824,3222139552,4813521354,342923381,6337822554,1562259075,588981482,6343511274,2203610778,2237534015,1190960306,19545268,4523073723,637225924,23087972,341920582,571667379,25622847,2489319152,2080579944,6826474845,1218395790,1291184428,3357856744,293054648,2979538014,3749637400,4087924870,4168158930,202945508,2647753920,1153789228,1253393870,3536486524,2421029891,364059871,3734129436,3106823560,3391826802,175799124,1059589830,6609748941,5658723368,452651592,2429482264,1797768136,905241631,7689194648,2535889461,7373475639,1416934836,2776008472,2400198340,291985293,3275444496,4796331850,4370515119,8895174561,1117437096,5322732296,3292799108,1783812188,327981648,727276934,2350787120,7320231272,2673225657,4750688232,4886163670,2910757404,589249197,5571650187,1260174826,1501924160,3654130590,806309201,1732893141,1353471355,797244028,3941107300,1189829584,6896632275,6912983651,2604340940,2156608375,4385548728,593453960,1466037920,5735778156,7239590800,1580850708,1920356880,2568909390,1547535870,565827191,4100852665,970236315,6535769504,874830,3702328091,3922844100,5905367624,797213830,3020098596,1238329152,1902591674,2088680037,6511711626,3017162808,3826454778,908866462,866207724,300799062,5634409056,4636260475,2421970713,303004611,2141581758,1438509250,1967705070,2789076689,4368140600,2304403086,1882376469,12129642,1189902485,634403296,4274536110,2019978550,4265183388,1437319096,490527425,707376114,846235704,3056565700,2683827632,541407595,393698172,297373666,1442362734,3510575418,2909604572,2593535895,52104776,6425218807,1150201320,329299851,325232300,1674208180,4217611810,4638320500,6950519400,2070889569,2184439396,2341714260,5562497184,343115487,5405393406,727193775,7930142144,6806795992,1961936408,1338050280,6838734032,754645157,830799996,3889351053,661425508,152935827,827101132,137018091,5262738282,224799788,8400837213,614336128,857193724,4744063592,1254035241,6974724856,5674574340,4196113585,265713174,1996549812,2147741428,4006212624,3148072047,308064217,36741760,243756564,4553905854,454838424,561759308,752395211,2167451154,2156309916,726370579,1320585765,3937719835,337207320,1263694022,680565740,1035579216,677879454,3438439518,670649125,3122839545,816935949,269415055,5229602203,2757251172,3392947295,2887998525,5988584778,4730572710,1502946420,1862137152,1353021516,5299036304,3517395472,2763786468,2856022491,3855001248,217608984,867812184,4636546600,3311607678,2627406990,6424173558,4115032384,2121806125,614599233,452041840,66851868,1658885990,1045810725,1008196736,5646313141,4173556788,1859915754,740917735,3531135465,4174528980,1615507950,2909850036,2884199608,1490356940,232401033,3444762755,2323317660,217198021,655800521,2246585650,1351394382,410759988,409143513,506819389,352662216,4783991248,230056627,2905508856,589506108,1060029677,277648261,695744542,492301500,5574874617,1861889157,2738858403,455012680,3026583864,723211264,1729215450,1973325400,1857757980,695518605,7867504144,2946200512,1594592652,4396357386,403349868,2314259450,5837504052,852345040,3568785632,1625935902,170815896,6535726587,5459864427,2531757738,459862660,287247050,1667329744,77286220,1635302160,2329064046,759108284,1265238630,2530375047,6661016946,4647676680,2984841776,1900069624,5485198434,2006649150,964322912,22861550,3333535156,6671827242,1907966748,147391232,2527765968,3766436425,360088140,4994326025,2524339206,1213366675,4072357836,1881388116,1881901392,2880924360,621446412,886707566,1796140212,1938472932,2120007945,3286055735,1566838440,3552477560,1076877627,152650805,1154316960,3687997504,3745561062,1251916618,681697274,416799852,4017319705,688609901,1266063414,3229063728,1490977608,670947575,1358265681,1363136364,1044079788,75584204,478133984,3166068204,1650845168,2301815538,5429648658,1593620176,7649405622,2952542952,1625621084,4917376914,4626981720,2863475176,3436382516,603926938,550489020,1776948066,1625476128,423050175,573911300,5014686971,104495500,6137555670,252271494,7514553123,2199170536,1721770320,3416541513,4981382511,569103452,673160280,6302686390,1879611139,381895542,6603478144,901058100,1463334285,1947201298,183629563,2915890776,1621044418,1263020568,2029578085,554400195,1213979848,4364002762,1608202461,304042950,1184529608,2018464016,182970672,7698526592,5395840485,1332082098,3594660798,2483703579,205621794,2350853106,5562042577,2705415568,2338580076,939795584,855338582,2210269870,6018691728,2797896872,510566048,196328178,2123912268,1343240558,2154971865,3837433986,4386357906,501606,1428806800,3348920526,4829380275,120373803,2893874118,1370800315,2918536812,2690376360,895711890,5797397767,1919781430,6386637726,1751329780,2225937930,239659468,1985001790,5647764942,1442381620,858022704,4724809434,167347741,7565391008,2780664834,2511793242,1681403192,5491142280,1590067962,2784756609,6321240380,924955818,96904547,405039282,7450573590,3183112905,2579905816,102847470,3528526870,499969332,2896557384,5948942608,364334537,72859791,414479283,4450486984,5177523464,846484784,1481950536,1846450488,173648745,3724614446,282286704,4157440650,5083508402,1247305332,3695854254,1794064440,1798768349,389779569,322736647,112790477,118754192,59696240,3510113094,3652405036,3139048740,3048144808,6493486232,552440315,2485009836,151048045,478841496,2574360744,573349978,1647878320,7443781536,2914937928,863377315,1374652863,2989514472,1268246564,5976000632,2611707129,4398094197,3047999436,370103634,4831626968,2873421378,1225656946,2698761400,544473953,1069705896,1197853408,4500749664,882923511,2146067328,4263438474,612099529,3162777750,1961189006,2527354392,2151419829,1588905462,1804027527,202632123,1445334295,359873067,3531486174,1821801752,354373604,1977512368,1908875130,1808959168,2689195944,552459810,3506021208,1510670364,914088954,3390447730,1196430705,3908152010,1990553995,7939967238,255226752,3508012280,99411918,1030630764,6890051128,4558781040,1897076560,168141446,24143730,6438873924,4588520004,606032480,650451624,518092230,5459789214,4085745804,125736660,5190633279,4182698720,15244259,2881071642,2481880413,438236725,3092791520,1835747580,809312665,5848544529,5578887083,341029400,476495685,3064538225,3897609968,922299804,1109332032,389744981,2522063142,732392418,839816735,1390457848,996778675,1290993360,2596617035,2183445984,1081242384,2760362092,697911309,819793096,90563212,4489000090,7723427600,1175743182,2310022485,1914650280,14026916,3512132904,873490968,1304688152,2546435724,181801686,2991755748,2621366865,6667551513,1407916902,4167569145,4301442830,1991652830,4234680384,872977970,3179591170,288238830,3354725305,2285481717,5997959451,3060730190,3673319520,2210098566,304097556,245965468,615417935,1440652116,6759552496,110268639,6784565410,381329252,3492501320,941283030,8917743285,5549912384,1917667830,7500720303,4209425850,286150104,1228385832,6437964339,63025557,656634748,3351628428,1624898910,4877578975,924038556,860153245,7440014056,3591480060,4759366448,77122906,1424878818,5620401339,114886291,400366993,2230501464,1491721146,393307515,2226667996,6099089792,4724417853,2347171146,480549684,4265347509,1418920484,869101660,112165230,334952869,24645866,5791837788,1434828732,1544062266,6319212669,3718820106,1201618000,2373892341,3171125490,557305938,2812484334,3417284776,4170395820,2851232980,1873925982,333083058,296564391,3633121296,1959357096,1300451025,17043375,3107117153,613237015,951179272,1554071225,3389751488,400211025,3215673340,6177240013,3007545680,490678803,208470845,19042336,7979196520,7257154440,61502312,4067161530,750908380,113672216,2820332808,8319402981,156151348,1425667968,1214061136,3964802416,2669866002,966416156,5743377432,733358170,6903122709,338868822,1654397472,1682317950,4091494336,470977675,99419760,3484966248,3856739010,1895777512,4264348248,4644700152,231331541,196120781,5944214694,452903819,453112060,534726009,66472480,1995185652,509245812,1070517748,6027790510,4635246198,384481388,214603580,322581,1985074222,67232101,5106059329,2172047828,4989568115,3915382024,431355859,20778577,21437701,954688536,1064161540,3347914787,341411897,1277499180,1367774775,1154724480,1714114830,2005494750,1447154652,3050985136,3394150816,309833468,1080761502,1269951342,5268312066,2927628432,3172209696,3988927758,1822862635,1822037987,1843787484,7890781664,597743804,1162767654,12558340,5421522225,5966102520,527439088,1005179224,929540408,938454780,4072545400,3984137565,981819591,1299841792,7219445427,2675902208,1210283532,3183750320,1285606096,8712349515,3215949366,2460186352,3477395480,3808888696,259578920,369156256,864569832,1065012249,3812972904,2046448355,3788820721,2501836340,3643033648,3209463095,670666139,3099061112,292179150,551834460,4914389364,6045555964,4527170137,5690710504,980713312,936795511,1571553672,3479222285,2034596418,2224812768,348931999,6370727808,2133375633,5884973451,4879448840,3797969070,251585158,1112603898,651615136,3339121416,2069668356,4605979590,648586923,4288382328,7564089328,2267173560,1710620576,2098904556,2915345328,3476704206,333091288,1964721824,513691150,765919980,2080129188,2126432714,873108744,4050339433,979774135,3860722554,2837574096,5221137896,6221309213,3866992312,7364943027,6671560833,6381036977,508570119,4339556990,1401854125,1995387538,3116232342,1963575644,481586347,4928464784,2050591014,230528204,5514141129,5811117564,686216605,1381703637,944532942,2233954992,345998654,795571452,1901420608,1394132260,502331568,4077559608,964142757,121739224,3426491117,2914949049,4602557628,5751351032,1095341008,1241274426,4977454575,4143054222,1551061743,1332669793,2753614416,115946836,2365975576,792283590,4483880030,2897986840,79169460,636672226,5744990601,2315249697,2397814731,3806760384,3053888145,705431320,63032962,3934890456,675728360,904172280,2321562741,2427086552,594938384,1265374044,3327458035,823798005,4480183116,1734464755,146251773,1318925643,1988802460,2028714492,3330143117,171612522,3853304,1657093248,5123219878,1035288280,1125721360,6064519992,445452582,1173550565,2957039856,2997963248,2942992750,8217268623,3503731124,5860926738,432890432,276604296,2720673579,3713830176,1049498624,4629353440,1325478608,2063421440,2567341647,462910567,2553501396,1550387684,293608236,3252288400,6891735069,126530446,165417273,946608608,5208985698,2214254496,329422407,5824079779,1267290316,97439085,2541822656,4401644248,5787300612,7477442976,655954584,1299779904,1010171052,7739427141,1944411921,5790335076,221844420,998002408,686879472,2314716873,753775864,3828530430,885615975,2898071608,7345164123,123577330,6974384571,692323802,1528466996,946578930,2296536456,1431686745,1368176916,6238323081,2878878678,1084015490,2860655200,2887495499,309549060,451504827,6763834323,763900482,298180394,2567534718,698425521,5841895816,1839795674,803661053,3840052098,620139222,4527755911,3489913248,8173247022,1698556986,4370098005,4540499982,4422507496,2896610517,563028668,2056390194,2891288721,5707831779,2423113260,13660620,2356802100,1840789710,548792244,757866552,7392273813,1118393822,670497370,415026486,2031545820,1242369653,87548055,1920387352,1270219842,1683758600,3061736504,1774865198,1339692354,42584472,5790215690,5493902608,4562657855,2218366635,659622627,662651512,1913004742,1613822811,3598154985,973262023,4425962448,314890934,1959186852,1698489520,1244334612,625248662,5103313668,4541296135,2828978955,2547624495,2562409668,1923005574,103410964,6884791851,3157633998,908865792,2555789586,400195935,3080761922,1887126072,5695269201,816520644,4132199285,2995487496,6830046009,834045504,7120006592,7387414576,359079902,6529996298,770483438,1202029324,2567617566,3820357420,1728462440,4716130445,3686988805,4926790674,1672430585,147637014,2616042944,74619812,5055475806,4305249027,431796735,5805727432,1081728068,2639822154,2605203828,4719640998,392767196,5088361632,420293642,952057632,276087568,659458797,5075448609,3116318067,1935604908,1137702400,4366299030,4764016314,789097542,7350498736,1403021910,2001097903,2074739324,1802444956,4488560445,777632196,2316231130,5775036342,1001989638,4442829132,720697440,6170517591,3127039095,234139056,1811580544,1626730536,756386448,2484591246,679064611,2501667064,1083447708,565267196,6227584860,748513476,1286542950,764217080,1773507816,3277356061,3641547770,183975930,2121565990,1780474923,5716936764,1587644756,719153235,6312579623,4857998592,1123068090,2583379955,3548005528,554903520,972311184,31409722,5152450800,2237311806,3774039969,6597918803,623635578,897268212,4320778560,3990587408,40949182,657693248,3268095066,7092240128,4761002645,2615376393,3714751160,795890210,2658852774,2205668514,964792588,1399548175,938104675,2289958655,1443076353,886590454,478372492,2577078890,3637772056,5690219773,7549288928,2349167436,5848896963,7389306324,2999450820,3720281568,616760784,3593798712,3851918790,1622474345,749721665,1265745642,855003144,942838400,2887387338,451397334,3962877012,2834330940,416797050,6089540198,6767256296,3666626572,5986784545,1693044243,887590586,7545973728,1092786702,1252867419,1600766796,885118761,2955483240,4282928730,779892297,2575844452,1503403524,1172243316,1391427610,1984623620,1532233440,1525520402,1633054143,781262270,1541420,131119504,2428188414,4653744564,423363224,2188237464,7625912103,4394632959,636805505,2522953500,3547561130,1736037750,5402449752,3876139016,178635552,223795083,6132806280,3576996136,1349694168,5119265928,1517216229,317026353,4708362025,1737019942,322587438,2284971576,281769580,2423922243,4608492600,844110848,2187003704,221003404,2484940137,2363674809,4006251872,1606462278,3032249648,4178288340,4041115,48087530,5772010097,1292113368,1447546384,2237144455,2286110424,2718934500,2724955104,1116904572,506680302,5300822768,530601568,3851480976,3036190752,1120523556,244853031,4162563708,2604883359,518943235,863848488,2431224714,1558588161,84972587,3489742044,3729425668,78106007,795553488,3753681592,2542578516,2635289155,418526325,322590550,2329841610,3017673385,5701939200,675319026,5417806806,1650490304,1399504912,253679172,4932270180,1122049912,2323421550,578993685,3239773896,280293106,453438375,2260087488,4714259995,4416120630,4685773968,472741800,63845676,4801683719,1240896928,1270822446,7796280240,2005443993,4641689895,350662129,1025117752,180690111,4892964856,1198039550,1362142827,5855591736,484265247,402059932,2555759792,8707650507,8058409191,718739026,8161337304,1966049876,4823332460,503036504,1812524714,5130645888,320585017,1877192826,5195591737,8223260364,116112000,6501754296,3282520296,1329389282,692061452,2985164840,1594018758,4518295344,1449171756,3475035716,2803013430,910982829,8185667778,36170656,1080365540,321548937,3056429448,7845891952,4850671950,1611450532,850749090,1877195860,2205289665,3854844576,222913736,384169840,2280756440,5010739688,587259330,2255675164,2618461980,6234393221,6269225384,934398658,3467939742,613429134,3802870965,3067800600,4478920332,2313437037,6165130698,4452154435,3307603878,842092111,213362462,445936,298997512,40605606,5495521995,4949119985,3777232104,3580126256,479001959,2908209255,1239192528,276014818,5291434158,636509883,2431526696,402249616,4273346875,1498112628,1538954298,668153339,35984821,1554630730,1294598334,469725331,1258709211,1171512090,4953674960,11188483,7493793992,555937782,1936274264,4768919286,828576397,4900389672,326685528,2927880708,1657498388,3909521539,4529178437,155074168,1775056752,497850085,5255212160,4390326130,4526922846,785184787,1675236364,3414018594,2250557316,1265868856,4674023280,1629537128,1014525708,4408924120,284085440,4073041232,1712984736,3171543976,197286492,2035757601,63766058,4541906280,4576701493,2366525539,33063210,377632125,526086804,3219382350,1385497850,3373894160,1554684804,4865353703,723559805,5666291456,1947734042,625649148,3769442336,1729337112,5029954950,2633059305,2607711147,1633612917,1641138030,548771643,5267255940,1350908510,706847259,2356401088,3943981556,37149066,7938027684,877555834,3962918985,1618496632,3695016320,2590793307,2649079596,415848372,811516088,928852868,2006138907,5357875047,3304043046,3357299904,3755506360,1489863424,2391905649,4504483146,5797222445,4110718527,1139474755,6215456982,2264411384,3310614928,439529830,2946834576,23778730,429481568,864099318,1661264500,3163049141,769434452,249414728,1206535344,3867898495,2558451522,4914018205,349288404,816383496,3202984044,1988801354,3885045568,4080593331,2209895181,459022134,1648719950,4697272805,2828243864,5958328704,3791294555,3826215208,2583457448,1238424592,2120438245,3699654084,8519339601,5282217693,1120793430,1100097860,4445813478,706696334,2697969750,689059672,8759464389,5508041007,84861855,3419903072,887170322,669565015,730862866,228811404,1301314896,3129342696,3936667704,261072524,1470382137,496065775,5079425632,912983190,2455700442,3815852436,3675123672,1315241736,18099340,2799101680,1348133157,3426185144,4607185592,62457120,412200950,1299125565,1091986555,521977365,557853786,155696059,6555732617,692438884,2425704384,659162259,5983533966,3192348495,451777076,649828589,3017686264,512759113,2602126143,581324220,1644967396,4046483776,3963364371,5264055063,709995649,1831927472,2237228127,8513462817,1255921615,305561421,2938613716,57956486,2870277,1870844874,2164357845,4537438045,895923456,1611449240,1312593300,4732048600,4991603328,3012448020,894738546,7440094692,1192892802,2990926404,501783055,3471681606,1925721055,2834182720,2679706925,8114985450,2741416491,2282801384,786395794,3217641625,1898736160,288019153,1207665855,4965753072,28913574,3775978521,7837011504,6427716225,1971416680,413598306,3790765696,1036559574,1858675232,1497336448,291370035,3291465256,535173775,2050191192,88395300,6705467524,1621334716,2336628420,6433961752,4934652290,106682274,1167452205,2061507679,3935602228,7086595184,2717567232,2031242460,5641103640,432539172,1199741235,1273013649,2100997675,1465846914,2071885644,6283764396,1328379886,253567688,3359094516,5226455064,606133626,1537432192,7863326368,2225603040,1358703688,3360650650,154215124,3397431653,4183261568,338950250,2190777669,162519051,1763810392,1404192546,8691313005,1449929480,38300404,1505534778,788348204,556806696,1545006854,4395670200,4026762064,538309208,6135553515,314695760,389451083,95008650,1602526458,279035376,2906828995,6608399665,3850580992,4329538704,2810048760,1757944335,1953816048,4401323650,7263741136,165691635,1339318800,660163473,2512965216,2526591009,3174994780,114222345,723153316,3845054480,5850141696,8128951236,859370136,759064584,586083956,3716298125,406662208,906628900,3590373730,2053022220,484655418,5499577104,1918652544,3648524128,3317664776,575711271,2297948615,20818182,987207702,22531827,900732940,219539960,905693956,4920223080,3191055248,3006399936,1005623445,2384644315,924703607,527537185,3070811512,414322004,6606114984,4301440300,792977139,72538438,587459583,911199726,1339056456,3946200368,1207327152,3985247432,372472995,960761061,1394577384,3829946316,3859599896,2792799102,3482721270,6971199048,985710829,4120157865,5459565601,2481357680,4652006862,1155073130,7205717848,5063508837,1347583842,6641254431,6405711656,1144170648,2377028552,1690610319,1080788336,2512122678,2300076965,503422298,2900788532,3609968453,632007675,4831005232,115672460,5444076750,3565813104,4474832887,5472190926,4512776219,731000390,6198947208,6506105886,2677432376,541637955,1994172568,263642760,357385274,132931863,640249158,1367330424,869064284,896078660,433594996,2845200216,1797510548,2984632428,7923343473,2719667223,686649696,626975482,760916291,5747548455,532040203,1245436178,2039381035,1661041269,3493777987,6295746002,383042457,99341742,2447897508,641782401,1226627465,5825974368,3448525350,2030855538,4026946560,200410085,370094814,65512780,3771706168,1808776440,2149262500,483464995,2368590808,2749054085,4499507682,1327699785,3251628880,885809632,2241786860,963678924,1900592448,981647383,367227216,2293572392,6240574449,2364240585,2602389800,3277994605,2713442128,2191361753,3724572848,6525060136,7136703144,1562598447,104311008,2373867426,2851930952,904368823,882254456,3730028824,1863055364,2740423432,7447771032,3245714478,2726228700,1714339824,1561015116,1198384182,6676806632,1892824644,3950845228,3728039545,743433840,1897969852,395562520,867835155,3910337368,917152951,3737775280,352166000,2990505360,3769439716,3147807940,2546355021,86119386,1656721755,6060900870,960527339,670822566,2503973290,284983093,3854194756,538731186,986245412,4913759968,6082451576,1231220008,548723928,2235240828,7159131000,4091277885,1423704422,2900671501,8246990664,3451539762,4499961210,1348041297,1969403555,1881206424,3219657990,27536708,1368882046,2625980072,1368943660,539845797,373244078,695727832,869733426,979373565,7783825086,6291164621,1310624468,7765610913,2116511446,1071263336,2637369981,468737198,2688941451,3415804376,1918507160,764363284,3834380952,5036308025,3781831656,1705865445,888893299,335935366,4044461765,1384036385,229791063,487012379,331963865,2126257719,1616202042,1019136464,3387529940,1274929704,253603776,163940272,1952211304,4128132775,6564121711,707145704,3581727408,6066277074,3810684476,590877388,4790602010,2487205635,1292008915,2013474447,444093905,627353754,2039052072,901393568,426057798,400318398,2323053680,306176601,6472910024,4103359328,6400151135,564513738,4381268106,7681957164,1734326268,6148423536,215199081,1193283378,759781158,1123776768,1203454050,1763400144,4753942935,800732520,2457413592,905495826,6806062704,522548222,4257022638,1042931643,3378517368,926042353,6659298107,3626516810,351496626,803994164,7646797168,996012755,7574472424,58131306,193975250,1169565572,1414754124,1967306488,2541355255,2053922688,1899063782,6639927546,573864871,1780808044,1459310616,3560786848,4002397280,1820965520,631150632,423600505,409337232,708353046,688962141,1619827839,3136741488,483221266,1917837963,65719060,2956729936,2756230122,3590948907,3059137984,3771302970,1992354786,5250426622,367104141,2186358783,1969121497,310609346,1460408106,5964175323,1235135532,1115720109,4528291124,234436986,3919751924,823084983,1552300464,1517924494,1058386768,961447800,4622297155,259789146,1938726912,2977051482,249014250,1862640852,3631055196,7920214407,1693626764,2635881996,4452729936,2775563337,2584411188,2577173410,1261375554,489417616,7054209963,4573061280,4983562785,3160915512,636873191,80234679,4082135010,1817215842,1210328625,81855225,4250774512,2001750772,4830018955,1196521856,396287626,725259835,2039243916,1940906463,540032016,1555503070,2522865528,1677069085,1999786176,2119308717,3890214095,7152535071,1783241738,2560723611,2917235514,910714901,537477074,325319687,730743684,2853008624,2410176552,987455199,4194813123,2485162704,703750746,375580504,1168835256,1409902302,915550077,510628812,7347798558,733478300,4673193295,1746510140,3753692180,3277355552,5210446885,7609527592,505608902,8085499821,633145641,3332919667,5767274736,833774274,2839491564,4906637498,5718056393,384640350,6779489486,532444522,1064847525,5928357855,1467493650,2797815810,616008480,987470108,1216747436,300103017,224515170,2482081180,3582815943,2212036673,2259263853,1760158989,276279054,3127680078,2647246084,1235677428,2889403248,3939421104,901549222,6012169751,988839201,685297620,4675737752,1124173200,3259074798,2771573710,6386637296,2265702516,3548887900,1104254194,5593149654,4553442234,2882849440,1045680246,2978515905,943345330,2475130698,3463387584,4885657987,3090030894,586123056,647312952,1372085268,1928150002,376178976,514827380,292945878,2422045950,448326929,1818416200,567803707,5526576882,2885867890,1424870415,1729555190,418864648,308685259,2392504674,886287114,3010573380,5025065022,4977157158,788411607,2806336830,2128884541,93766748,624651292,5204284512,401013440,2227890276,1684960752,928054752,3824104860,975221325,2805098012,802914360,4014085092,1795467210,1570284296,6483185198,2407635224,556400076,5169697584,1155416264,3592438338,805388112,755590366,57314226,2232025302,4200705880,1979819844,24667569,5196224850,1163371696,4759597460,1551261788,199059360,6548891904,1116140898,4025244936,1249003314,1324300755,325261928,1376276304,2566189851,4845299688,1625181335,987429583,363729540,5417422094,3279945613,5413548789,5196567912,1204182922,3321378641,5064906728,962891977,1675127480,2891386359,4211192250,4428713880,646693466,1321537861,4218160818,1773547360,4357281453,5176395801,6636220160,730013700,988030087,456186006,2468438883,2218478240,320945736,1521516201,88844076,2653261362,280389744,973169089,2203916240,3373373000,2644120292,1395324008,1584858171,2642871228,2736930867,2928920166,3456587380,4940367102,1591604348,2526408648,652619112,1863488403,15736918,2576735520,1700335940,2586784233,1235108814,1672077204,1487591042,2531171776,584216283,6240554442,6763320009,8455346649,7022050020,1134990004,514207588,1287782920,615699519,3019692255,527008732,2770677858,2899477840,3042859401,477798785,2644817128,4521063780,2759012528,609852370,269596314,4341038610,240779456,3047518236,1318041774,2131369130,3143109600,1594424742,1491281570,5337487392,3006108014,572199288,159560752,620350932,2908277526,2274258822,814718024,277404885,2025059868,1608978876,1729073217,1763819199,1337907858,5107438704,1766894448,593662077,6517346408,1435820834,8999513766,186334685,619380029,1722802498,5789619720,290923535,230220616,2599880712,494724896,6539446655,649729713,1480733130,2856908385,3764346830,4976857302,6942162472,2889668915,3710617182,1587399558,949768560,5491151523,2791013646,4233716272,5018929335,4730346995,4484003909,6899738103,2763178584,1483247772,1572397266,2624966700,3449667789,1556921688,2617746741,1148358342,2655417156,2948647446,364042155,5193875493,7602120080,363509194,4320538835,3034545645,1817208672,112924536,4649180472,2280629025,5399497016,1207338136,3285453195,926269433,433200789,551930658,938812419,263574832,4831926705,929914260,1962248052,1033372866,44281128,2003133612,2467310405,1052227036,763214353,5627531988,885170982,3981793800,2874437900,651570231,342311494,1755798867,1515653310,860363093,627379347,5752785672,1113769800,2616602730,969102054,1979040636,5367243672,2772944610,30418392,763372056,1194495288,3432968604,4096744416,397793025,8143158528,4947214542,3995673822,288890134,35879465,182602377,1774494392,4934169792,2480911692,4710796629,1703727128,1562743428,5320801944,8938238445,1694516766,8120059875,2019066150,714671163,4655804736,709887315,605609082,481577668,2505850830,1676240528,999863408,858929526,2652790800,1360512755,260607522,617780016,2255764693,6357702224,3236384200,771418773,3229494674,1267664648,3376987383,198524105,365596614,5732384463,310342507,4442745792,8200885167,905687822,7833339352,5014663856,189551186,4639982646,6070333944,2333772336,1102876516,537180759,2800000896,135487568,1155107463,6285438670,161304780,3582699215,4571687183,3658770899,4344577305,296294474,1066354576,539180748,976534448,236623920,1832294115,3875147475,299815375,4041164994,1156783653,1847351632,2468399601,2314409256,2394502159,3676979682,2181739446,2038698171,2275803504,294299752,3024511434,3214020520,1495972570,2609952025,5710869346,660908104,13579572,839046224,6999737682,4839035391,587523392,1388030460,1097065584,966012905,1301575244,1090183509,787820582,2692186040,3177959463,4458740815,2986776345,13324130,3658498740,221931360,1579267440,82483630,755982909,6800551488,267768144,1487208090,1852216266,2086116265,696364100,2654072184,1312180150,2755942290,1484983746,1982928210,1218440072,704588158,900100496,3135397024,78056928,1715255114,895211086,1453868580,7107796206,2747657122,6458863356,1997374864,224042890,1951318198,3465587880,2307874905,191252400,2847058490,3877049670,7198966269,2853569166,232764290,7500151536,1487864898,1425378117,276384572,296440265,1530709394,913724270,6449522456,2358638570,708326556,2466081235,123224484,3577123892,1759716070,4016377030,608136530,332231958,714751842,2708413630,2626198044,794383344,7412331447,2515262888,1622257818,4904233722,1233355606,1065426066,3961220862,4400483982,2970623349,5684915856,2789785137,2272144126,2331047352,261285178,2324234360,3095943702,819529170,282388231,1462290432,3870650016,1309515480,21740815,956805060,2847610842,2281675440,309913540,337574443,4184850102,7598824952,3233828142,2946749964,944502191,5920001591,40144268,502672531,398890955,1384068516,405473033,3527809872,4756350492,2602502241,1483736373,7329990440,6195563255,6061956404,5439478608,1962479800,4543464436,2069040440,2754572004,699395511,565901646,6641156382,5619215472,506411916,3382645122,2051529684,2573750736,2431848720,1131535808,509778767,1651855094,225058002,74697658,1867070826,6678261450,2850801304,176058418,1054048656,1604511643,3129344920,30619702,1660892812,2485497620,4925117274,227796120,940082556,5669772969,1450559262,866047408,4015618857,2931339084,2995143609,1587490500,2168254236,798158588,6498040592,1895253672,603411682,997724525,980798046,306458054,1544149302,2678949280,3485246140,447337235,1991960262,803717740,1475435490,1784040484,29233144,8986833702,67688880,4767870807,4543742815,4700829815,149287670,4034600552,706755563,537852014,2436653979,4555964840,5478322633,1955742446,3220870224,586856891,3466982328,4998829248,7394023928,1089493752,482481424,432897294,1233763588,566937296,532011400,3551412660,3809687980,5711473524,1491017458,2738742880,4700722432,735249107,650844480,429371982,3992925464,782778716,5590933380,2950534258,7010230680,7096154778,8347301559,1865986614,595213756,1633819230,3819465160,4216869120,1089803538,3949407333,1107906592,4893246064,747694878,1083402573,3529228904,4837024854,4239944536,408888676,26143290,1569279230,3549845740,6398099496,2442245396,68859567,2126892428,5431465773,3226073520,2655807975,5865790098,1726962176,4732899498,3735326094,3238808768,84344643,5596393656,1908308464,2235776700,2715133842,3346900548,3944045765,573177193,1772841580,5223243935,4680571565,151506727,6696268496,318234854,1460255224,1661510025,1027348767,917058538,7764943671,1319591049,68344755,3165801310,920535584,471945843,283547895,2930357997,2547707244,601181388,1115875071,6704049447,3369508136,5436261258,3006370512,1255943776,1067706672,2761890345,817062600,1135535310,5155324731,1330652695,3032138024,6530634999,2723006178,6219489232,349465248,5087361198,3677152996,319390616,30102988,668489820,500763730,934084464,400729462,2227105432,331283298,5313939575,2411807328,4318445615,5751522812,4889332670,1384150222,4497555424,423357872,2739899922,3453895208,6627758361,2870507310,1189064088,4588816632,841778854,427765332,2484890896,2421896260,216157506,1140406653,3330707345,8917408611,984102511,8923878513,820206402,912749421,8894672037,2047916276,1651243222,869729084,203144026,4792625448,2976142533,3708252384,632551033,368163777,2301831182,1983918796,2587934672,7313741936,1306074466,746329218,184854176,970597046,1192925748,6158151272,477457692,4393708485,4994282965,3915838578,35734905,4409701712,4721103821,1407191096,374801520,3823467444,1835634072,612304872,150456035,1968874525,3159860968,2622431352,655137016,1408040913,5575950504,331038487,7734948648,4295376441,1489284663,3477545316,900369627,5299505561,377979420,3462576418,8549489799,570814140,1337169288,3906315328,544167494,14396931,2748765582,1530841588,1728447543,5599452397,2790270126,3032257734,78534420,964651941,5391453116,3786872930,3377644928,149496126,6592223552,2494680408,1909683912,2167137728,2690016036,2060262096,2684032836,5624633595,511133833,6414900272,1461215286,60613635,1581940990,591230820,62483949,1605139194,652141064,4510763010,631502840,695031875,1175695185,800567486,953517765,2611290592,655798134,3983687944,1522419300,3669372729,8163404802,4178256426,169283228,2868943386,929690816,534084773,3023817010,2535643848,3197084365,1168169656,1824928065,613639846,678082700,460427624,1362622668,4019991588,1278540860,1966751583,1225856139,5486370318,1618207158,505033832,4941897474,4255642266,2680613537,201398588,4752886968,3368204420,753535170,669503976,4581965620,1147665700,6595141528,247138887,3252857485,2193967143,2336143320,4289610123,556222538,2925691173,1843936644,1580575851,6416333792,339658745,1580996628,6381494384,3307973655,1636353054,33945134,4673194855,1103474660,247877666,989514034,1984196220,3473455056,921305789,319018308,890017597,1978748752,4625593614,2919181500,1485861168,959991186,3663938040,3909374010,6513054328,2493858243,624787509,243995306,402549704,4145756410,536312864,2372620938,4173431355,735573672,2125528137,569708478,5390080568,784605664,393687018,1076505016,1249982940,2812542669,3963589244,2953951872,1232283162,2765642940,593837900,2968061709,633273408,1758033625,77521127,3371432950,378516580,3799481016,2589058860,2557087218,1768680886,948587149,1696598170,4350297504,2721872348,2965118982,3322472622,341572314,273453915,5375475342,252581850,7984752432,6797685748,3811701032,596377016,3680475018,210095780,1769554535,2326232748,144684561,1752556354,581361872,5590062,6135730965,1390584010,8899615350,5079871840,5371953622,3294537800,460948602,4270876824,407059608,117885270,3028370769,3442430241,339231962,1867795415,185042652,1073207094,3698190354,994840326,1903442480,7357578525,4991259064,5561314452,480568484,488500950,2835992670,801849240,874408674,863041215,2494916056,880612756,4436900984,1648728404,3086374182,1841886726,3436422728,6139610896,64635795,5098100728,1302375414,1198587398,2355040035,3546057940,1070110114,4562828970,2965910790,4541530944,2063927367,95175948,5566913933,1302794848,926770460,363398644,1021475415,1379898282,675800664,7905139560,3587410038,1480783053,2151655875,1391360850,1316913015,4065996438,2853054475,25243300,136381840,772711788,1167255705,2671481656,3591397496,2658804216,2848294915,6780164319,328487872,95051080,5875300332,2586561335,4889835918,1411572654,2184388325,3351395228,3145178816,7882824267,5376378552,8255679714,3646296084,665059482,4409156520,6709175144,5600429232,423730976,597465920,639665886,854188861,61142970,1487565370,586202365,2636365040,1108200604,78378512,4814477556,3518943620,40480006,360210450,150375145,5247873828,746775789,2175038019,634423271,699426045,1264041804,351912600,4111751000,4876817195,980131731,5801381514,856914046,4017244630,1375842048,455481778,2511910816,917471084,248680092,612111624,1315436345,4815997998,3314558928,2120957295,788991288,1844519919,2770948540,925405980,135340560,784463609,2153358850,2724753540,599165126,5395130634,5113104704,998072290,732170634,8179814214,956884556,6064300697,943221522,1808454816,2764097980,879014722,2034966825,1485601158,6458259996,1143460592,6951715880,2382692990,3548021056,5626299996,5128951653,3362480775,232485195,3694705270,3358424934,2786687425,5473806066,699832601,1790443332,2271353553,1778865606,4314643353,983926708,4426484734,1275503312,2814933248,3213220381,727281228,2488316424,1185961228,2723357610,6449293872,6877976742,5946354072,5067939760,643982640,2612327730,4436004504,175477170,8907800049,1903444898,1858997322,273475036,39456731,1511710902,2399795040,1406666934,2054352500,1033109864,2221985481,3722694960,906511395,2577088452,3894291685,2719537380,3723613768,465170292,4081971320,1062496802,5389754028,484434087,712265535,1512912940,6711465474,2864062026,5501930247,2691802494,952404914,2315651670,2604424110,1944082140,59595177,1368777557,4990076700,454690292,2523301686,10700403,709903449,7220288862,3022155396,5125438808,607232499,6795664164,4833821960,6769587924,173147497,1197716045,3556675340,1751975694,952079237,274938265,2003181486,424071916,1667063748,1921839280,704972146,4576856040,4863727015,97783812,35728285,106001796,3466918692,1418723688,741479874,794843570,21102186,2620020992,1102897662,6702904936,439707107,3599033150,1650484638,379754884,856585386,777862442,4342740392,5893667392,163369664,656189736,8201336553,1139610445,67366806,3331261290,416869663,588619722,816903468,573309684,582195530,2062397184,3571415856,3469390116,7271135514,835412211,5381514136,1210075656,907201348,5423905278,5993721729,6056633807,1042363296,894919570,1725189102,4092700878,6413256048,109988170,4176992323,1844217051,5985565460,3280560642,5385570330,5243222355,4471484668,5073670344,224123820,6000386648,4015152827,775561509,1358756120,4125693684,3740792805,911715741,2515501490,1012744539,4734478420,246314876,588520937,877888445,1563229818,4762736895,1550417840,4959531712,631609338,296439366,994199253,1021982502,1261022915,5196282992,902065168,244118140,1970031992,885535592,179211900,605506506,1503199684,1190275038,2943748665,42651885,1318882862,2067213141,1629318102,2817689400,2288358528,2463763810,2168439905,6512980292,1519626078,3642893065,295031850,4159210937,749045255,4070569860,216435742,114816944,430726585,6987264830,1353638060,1313426635,1672926618,912430853,907553520,1795903232,2260477698,3196366252,274016762,2510492064,1489827946,1694689980,663869100,1434107358,5721488451,6597547872,836613132,368029029,523409975,6852074580,3563491897,2962386140,108159636,1697153848,387135070,5702388336,5188608882,264289619,3132408482,5587807680,5747107092,1237937142,673322562,5769681988,917668241,5656522956,5601888306,2120085456,2249990516,794134589,202383198,5224982976,1185631410,801224622,4826078904,806338902,763033074,1944226384,1288542312,437797326,368381090,4870145610,1469278618,1043319234,777052727,569502809,3089277720,4068840410,1720659820,804894672,2112936412,973199674,1332037419,2862768648,3684525900,2494247979,206652454,1365326496,472405754,520410432,2635102008,1115461565,112160337,3987220450,719456814,472456392,1606528035,4536549216,1459100820,3662714454,2943533796,2208431196,1450005663,1862539180,821923836,2359263930,973438418,86941125,1640212581,5058068631,2533421275,2140736796,270396469,1976068825,795960868,5282287947,1724609847,6035368514,4381172505,245622664,876794053,267846973,542780588,2464499656,94401227,1740772233,1618257040,934870525,4283942904,1246785921,4822244280,2604804030,147987922,369339931,4376927037,988870404,3536719606,114081288,1282768668,180866120,5272398972,6516133248,734903984,2920229155,4548400758,515358663,3559942436,349277580,1886536530,1733531046,7602444632,5968552842,2072000850,655493548,6109234460,2008755628,3538320680,6462966880,481083824,2969709620,2531800737,1625236692,2332742300,667992952,2074542589,622802394,6618425758,4985379856,640377976,974925540,426268672,451855329,5961206364,2903087676,7837535048,1484321629,1214706327,520395261,6258139510,852135909,2843861040,730517094,65248326,134984487,2396093720,1548492282,501070326,6437277171,4315151505,2830592376,1200615426,710141844,345779808,8972220996,868461390,320623160,1938912472,2590303670,4453075995,360247944,1590896856,605141838,589307634,6608602544,89854708,219484467,4795084576,6951033072,864888540,158931762,1098950925,3613699103,3925315904,3441586518,1030412610,467533412,2035846008,2299673154,1233409317,112011298,129542608,56077460,1904279742,3227616000,3642297388,3971037905,769260515,1418400102,435626536,3700646670,365219240,1788631016,2383067995,76555968,1303745960,1438019103,5770341104,4491874986,3531840576,1560907495,3652011668,304155664,731826230,1159723614,2888517768,837387214,5941894284,2179274919,3158025620,543117588,541371720,3923029152,2222151440,2850015936,368707146,4755414915,1974833616,3859026608,2997331500,3813131502,6503000103,468239328,202678665,3864623035,1693579498,3380653896,5313725648,4144633930,1003498844,2991350876,4726080685,125325402,2478570620,416818983,1874092581,3942634752,3966470008,4462151552,280587480,5571850707,415197094,2869304148,290903052,920268206,140468608,2081099592,1011038292,3678320790,240756608,3115433220,631453380,1817365688,39199224,4669888936,802588614,3281743824,7618933744,909694446,3731293182,744648678,3126094164,3947953149,157738757,1088392256,1466763214,1133958150,1281622230,279738696,941083340,568132908,5919911464,2789481600,623307495,1659977604,1627438652,5993319846,4348951674,964778570,724736296,5742626769,250130230,936035900,2834538255,5507144292,342216730,949051041,1848125350,3798963860,283270842,3839905672,2365919528,6812102619,673000573,5999513296,4529047932,1010728854,1682191902,2586809197,4671150465,509109639,850707168,25962632,1390008159,1153730674,2744473350,52123302,173198830,2847170172,3818046078,5640194496,983644238,670300893,3605733960,1068634779,2556161680,427744880,550564059,660985160,2963414046,4743602010,831103592,1506846056,2199536353,4397336265,4367192275,218804244,2551247844,2241816605,2800762473,190401648,5098347186,1804042296,7734515464,4244857484,6305868863,134989591,3538404737,93469978,3089229492,1609170437,4146979270,96547061,2553777822,2671453062,942738765,1143149828,1203180546,6631917194,3551243470,1476099828,2338499547,6283990089,835129928,4756647231,3296736779,1600645405,1610542476,3780201520,8762991498,7388220249,2162934636,2540695661,5238111823,2513461266,3196301171,1518408213,2262969624,5882773216,5549386276,1072774280,4585822525,8025628662,96912603,954931700,133030782,4872599816,2092451008,3453446046,1189348728,5162099688,4706392600,552552580,1536335424,606277106,2371433675,242539371,440826272,336652858,5413203534,4107805744,6909355539,839731268,2977726030,3132032904,1848886532,5343553201,4144152936,1511111850,7050173166,1496174775,572952709,5392687202,1451740440,146781963,497085519,200284120,1698026031,1345051221,5243395104,3915335992,1725876537,554289215,1362880225,1275410875,1347376248,7647448792,512898799,216308232,4213739105,1055288676,858779790,3912741060,1499962341,1281359218,1227612994,7215263172,1278756165,1731898780,3690680364,82758717,2762070654,2094350904,5835401010,3898343196,4906533960,2496012588,5394425931,1403362255,1948387091,5841010200,1793912054,986052147,394096692,310567912,661431126,291484560,613983312,2779964048,8092248264,830205585,5171716872,728243320,4796853635,1838978028,7625710899,1585364856,1493374805,1326411618,383702364,2792911005,1869126228,271693875,1957424838,3444931888,6311263608,1197337720,3959625950,1812874536,2661427155,4613179392,1175313800,6125512800,2932397364,1880658198,719829912,641200581,1995420525,697436364,3567526308,129185063,4687219780,5955952908,188039838,1533609700,168956667,4004512776,2902821205,3231780062,2501450448,1792228227,154206936,1994051634,5443512696,3522461598,3070288712,324995838,6086572877,2866612320,3558077940,2067971235,2834464872,4804516101,3332720240,8897988033,3933340075,529512387,145496405,807320289,5374358619,190041316,2778326808,5113473849,434010900,5863213710,7523607870,1076973040,6933215728,807465490,4244149524,628775750,7245589552,1317852224,4206118014,1116994030,5479110588,4410060444,6383408886,1633052958,541738989,900516088,509956485,3802626492,2598101050,239308315,2846987640,1208594082,4025754000,504617841,731741180,5796807648,3015169362,2162912220,648813331,235459162,1889016508,3108949700,1103868730,6968551359,691021980,245805636,537340825,4027277890,6793941378,420483408,6915960478,8833605372,3472815084,830276261,2802581735,295474964,1599415076,1591097778,900022014,5573507716,2738791848,4310819610,5362612710,654750045,1124670176,5351304679,3414652595,776056038,785322768,6066751128,4832302680,1668313233,2044441096,838428689,6590867367,3029840793,438029136,6779556648,2645576435,3697748610,3416333960,7234998168,1975393080,852845322,3423802064,1523214858,2875286418,3649715629,208136313,843705908,1121732940,4185467136,214555251,4611240927,806423376,503007855,3640682843,1178721870,5538371944,1023306327,1781191338,701165892,2061975360,5076043530,1168706061,108470586,508626617,2444293287,1354687094,4875069432,1359766050,2494311912,1880595852,3657154656,907096419,5341890282,656030864,827853655,2323073250,1175731630,3145566008,852682360,1534680432,4499837345,953642474,635427716,5393945718,3067064244,116923968,2724342300,5805785440,1574823681,580834139,1003122864,2957104344,1350488132,3741713238,463655101,2929794810,3542573610,410629444,3490635438,2724610326,2004072384,3649489932,3313355292,712162987,1767100354,2727742062,951078872,6259419621,1569897948,7472401560,6028300216,7356869744,4296963591,3818284533,2698914452,4985537648,3308099415,2891497322,479948292,479272661,405621605,793818050,838103583,495090841,4389537145,3951608778,1498028315,268915203,2205961974,8897670018,2414930000,1162292515,2154423600,656990667,4376189600,648872379,5845654989,3816725796,1891935858,6707860873,5526156480,1445746432,2708010291,7987689984,498873500,104124269,3989066690,4972294980,51297162,1284685552,1187633118,2141373856,2661659063,4739901205,711879879,2674835835,5498255025,243163844,2159940696,400737092,5328023358,2319774858,1183384760,1637293950,2371144347,5023045332,1265770028,880883091,3117032935,4609173345,2609705973,681946596,989886184,3999579367,1275233848,2740688300,2935629420,3338754736,4163197157,1936259703,3284404564,604557160,858205506,3299979843,7228857357,377299636,45086712,48279510,2386103502,166489097,387305913,541112202,1671144734,2509200245,3503768140,940521890,4834210565,79723308,4296502611,2223148905,394110584,6935563408,728331486,1640169160,1626588912,2575020312,264252977,3379004538,3770488800,1429806978,4217609473,503471042,982943047,1837838246,1482139946,70539912,990916608,7538960952,339902932,2536556920,4376907805,1701642078,3171280008,958913788,5301310788,1276330638,16697065,5888696787,97941968,983237234,123274705,308707608,217330854,6300563382,5864041914,6512035968,5509244832,1355957294,1820875494,180550092,1486753350,1925655696,287515620,2184156415,3255408816,5556035160,5290421154,3734797770,1240513075,5084100273,1460915330,494252265,835360904,16604015,1488199724,7175820690,189963096,2056334814,3368713500,5307892240,807861876,38589256,3743360844,3804970968,3643462184,1068202060,5034196624,283973499,1464673462,3263826032,2124694180,1599608904,2028469100,2819499582,3496531170,5888050048,554573674,1537603580,371602308,3108740032,5568895144,85067500,2023999160,1842301385,916757838,2712290136,3327421960,1257330789,152026924,1722566958,609155122,832068790,3095729665,2387783890,972018795,4464854898,1305357030,2709573535,1820788128,3992526120,4515813678,246044352,2852053584,3489212090,515796046,491647914,3473232618,2114195274,2693237888,2832928644,6875359832,2459358024,8040500379,4061867148,1223575662,6487861872,1851993884,569032506,3514924197,102939696,768294896,8819413569,2992792152,1039590462,1633991094,8318142189,3332280756,530803068,6751237410,6292942128,4425790992,3657542616,1019747362,7076344113,5394294544,7735730400,1305008046,338981392,4918699650,3813001048,4407793952,3018078024,4900821216,175697173,4838949776,4058440878,5358159848,1180798956,5587951453,574345663,2673253896,4217054715,649300495,3401687051,1990964331,1565116176,4368149980,975313794,599845960,5875829886,5697586888,384428840,411720212,3618126463,2258246495,1375425236,1748712124,1541430810,189977440,4418879985,1223835556,3793876728,4304227656,780334925,2807340808,1350796884,862618956,2899914460,3690690770,108854076,6916206374,5631082304,384850890,7081892820,1583718920,4205665510,12128643,2172888399,2984768740,5241398584,2512027352,1273516984,6630675300,5623482879,5552870841,1747574619,294889582,1129875184,993679848,7756021936,286487598,1733903842,1025313358,5722862664,791276022,3412328352,1181201156,4634284512,2238076674,2539516923,5909099399,4380728445,3659694648,3975290032,493619814,716396175,39935655,884801236,3771481792,19624430,69701452,854580328,388859108,2658700416,2518199328,658266461,556841817,2457382404,652956912,2794963383,1879900960,2353951281,4664557880,1445490896,5079604872,7001957456,3791802236,683971672,49036298,192421408,328108685,3237995088,6825965920,302426158,2535490288,3556639938,226008336,3931989632,1988125292,365855540,5408567703,1776282685,408578842,3885971490,2202671655,1925587312,637325820,4037280121,1184006232,318505552,2862145779,2758703652,953033822,5617096962,1331157066,3127753422,924419176,388680537,5042680594,8003136798,23069358,1185051876,8312372784,557466782,1869080394,3627472212,475317834,319966512,2806008084,4958286186,2765130843,3680758774,132028708,6755374791,459664405,1545983810,3371415747,4119278190,2658756177,2960395280,4702595517,5881129662,4962566832,2995875715,3271378374,6495911262,4812892917,2123831152,410131848,5265826040,708649294,816902955,3048743214,800916707,8940954402,878754390,5796595360,2912283888,120700027,4883097785,2958262104,6480549138,507349121,482726582,2920050126,2659215992,241560558,1363225126,600753418,1990244238,3539579022,4600010165,1024991538,368663625,1967732848,3813839664,1853816834,5209959776,393595694,1868005792,1330244165,3978130110,2460600657,4871240748,6553011115,6053918368,2248716420,987746949,5409264762,1193879455,3871156072,3558716792,1127002434,6779937968,6542406765,1349887600,97848068,1220195232,658964388,891891606,864054384,3247737648,2131083354,2472859062,565207460,482901152,5116409152,542033800,177920134,397889478,7053241527,6722413509,793593575,971288328,4446086225,2030279304,6042145509,485179965,215694141,3387441694,2793131490,404541052,905769792,4740417054,716862135,586335884,3948256004,1438216672,4913160510,1182925209,606584698,4050761652,1910254620,943766277,3460596308,1332693590,5663067576,4357235460,4848630675,5465747562,1895515216,18147897,1904689790,2217327045,1356685144,712279512,3836836575,7929542313,374271157,852050040,2820601021,741291792,7951594140,3582958508,2844727543,4258628710,7511761800,2374017020,1998948132,651258108,2663647767,4029565446,3108460844,888128038,701722576,42564899,6497767143,4430733003,493222814,3160883290,3338765308,287949347,5613375447,4908742573,611014722,3421334652,2802385397,3613044785,2622786424,5843847222,7607956545,5120019961,8865528831,1721183830,1649548389,814905360,824189095,515922999,75164320,368362575,408306366,5467123098,7291852785,837101990,2080712744,2605115056,921512626,1335869709,3357211291,4208081470,1309222656,1662621714,376770167,3458709520,1913166948,620643192,5764756528,1021226812,6856715187,1702307784,861726327,3124732998,6729366336,4307796276,4766080825,5267129658,6315434992,1818597330,2135335730,3940708920,2346046602,2798078972,702429132,1580827906,960905070,977231955,4550856215,1760852136,2036730933,1379132988,4056805240,4544419689,2542712040,775026813,132070752,102653970,2413765438,574321629,493773560,1494278019,4347610477,749399145,3749402930,602902868,1986479488,311775480,1683104912,221292390,6357300520,832139722,705757014,5849178702,2944675376,5430348873,3604915398,2723496165,3700929564,5518542806,494184391,983315976,263236732,3132232150,4307363744,1509060398,1450528856,2567852060,409453268,697098516,757796526,3436223118,3393362204,76931174,7047826353,682149846,2856865816,3805150068,1328430309,2892073308,4183832860,1841982568,2658331720,847536450,3323181450,4639465620,488060721,1791890235,2560377701,7504722016,1703746350,2035034784,5806636927,2736956256,1022637656,3730147326,1359270598,2894831970,1565146611,119139304,2898370260,2828803000,735070818,3205538200,3509215105,1320639404,5405611128,537354087,7956038336,1000296712,2370871645,182016445,828486752,6822740216,2598070844,6001730000,811788894,925736283,4700430279,2352725598,7929731745,1748650605,694122834,7234563528,1340760040,1463598176,1332045320,5549866406,4704531612,6085706963,4477529266,3203869620,675243709,3416159355,3388433596,3092957028,2418393336,780658667,4126416265,8978688657,2081191665,5963834989,1387451106,7631837712,353386517,5784910632,254952492,6064017729,2594894775,2851149504,2631352395,8901260109,775021515,97222430,3505889640,2025596691,2654276808,337776162,1250744823,339530904,7866644208,1948427255,2986267338,207011118,268238383,3291793936,416389795,676555062,34203984,6084752904,482619684,4007604160,1973126603,4944596070,7642248309,1260623096,2759626974,3947942592,8358258852,1994289795,5655090987,124435401,1342768076,4795786168,2131129475,1096676354,2484437130,758559188,618734220,1490061433,522424449,6922250902,3209467860,6690411609,4856674572,3061974622,1685165412,521095250,372187025,596975060,2686949925,769599609,1560707886,1138567540,6503403528,1626960676,1309442709,151626752,7114452664,1548078684,437654028,1549530004,5357826996,523668441,790830908,437719208,735195085,317940874,906690032,128655653,3145078840,1004000952,803982430,1774913568,760311954,1253938912,5988821912,4037936658,1102464535,5358361152,4881104145,1710213000,118872825,615992212,7610205690,1870957242,793751062,784093167,5357767373,4125307501,1259527908,914216189,493498854,6567063592,6183884133,2893913080,2428190826,3892699013,2250707670,1199335842,1677419460,3403193060,778670145,80579199,1871086198,325277160,2322233500,8719075287,1526446430,1165396432,3989751996,676314203,1217489352,104558419,4710288750,5298853182,1210109769,6079896872,6408008348,4401483681,4391061515,684090755,2622102651,386584713,2367006485,3826189746,41125324,2545365450,474286776,5769072778,4962954860,3775781744,505126818,2444969156,772966634,2391390315,4567145616,2355760505,1470527495,426730059,1170964586,856230792,4674873420,3000952304,636605439,844196772,2898599648,2974088328,1160213676,1513780518,891910728,712427870,1088630864,1573567335,2363716480,999574618,337290018,535676614,3085835844,1979020749,1994398164,4988650655,2276024015,85536570,4098424060,8810803764,3054624195,5840048046,6066880640,1344592912,739065564,1021258065,1695011260,8267235543,774819976,2117908975,801917511,2519214954,5601324438,1702101006,861392232,2815353376,4926006288,2656010610,2009491995,1055688360,588350124,6993027816,4349496330,2449320055,8043043338,1676435904,4411295445,1211739255,2884604040,4009130757,1243107946,825498138,2802212048,3260095572,4771839915,1963936299,4197154640,8884729845,288926807,1391187712,3051888020,535380904,568778212,2532731922,1001657712,639773374,3891826404,4399238808,2496049188,5973295476,6817754713,484426712,5955072660,541418053,2246197446,1100200986,1024179408,713711876,1870192221,2476595496,1372211928,2697425856,691026082,385115083,1924698507,5901064936,154374588,650049194,1896880580,2152701383,549500672,62277228,5411090545,639980986,2103524244,1317852930,8741411307,5934991842,1048926188,6316122701,293961078,28900683,6770142608,725412177,3696621957,1021519720,636080977,3149608364,589488345,1132789896,2881278208,4014735095,1177604985,18345356,2670452676,405554724,34741590,1298833512,843615988,96703820,4342661589,4143764457,2363871180,2572594251,2156114760,1444501836,1086570118,1778717380,3910837935,506927644,1041493874,996040556,4460297716,906445176,613615439,2132860977,1049732015,5114609628,2398034415,3604128496,2851697367,793128279,3514798575,449084190,607547936,3691056131,1233419236,3222016520,277549136,2693594496,254721954,4982235800,452744630,2504083836,745168752,8500322322,1996919725,1864455004,4554262188,4062262416,1244055856,2741841160,4615947812,5237719456,6265166319,838247652,479705748,1656553900,3655306992,1129438434,1349504628,85709880,6098564948,1713155984,4708296315,270106663,1943589543,1897448124,4823730884,2319858564,358920748,725545480,816011515,7226078496,348897213,1701552713,337294587,573037752,3497270580,981125798,3709718456,3781294656,1588888476,290145346,739241520,3790950499,3264212441,3055788925,1647922380,279777459,1838749594,248837860,4684087575,503540172,2284785572,780322765,3135898633,11519089,311287215,5852470188,2899804812,3244281550,826155640,6063117088,3824510832,631291470,427540050,555869165,207678877,6293693792,59049877,315731796,122895256,2418242589,6450719373,819643716,617750757,1758250551,8608108500,2085285015,1397498286,83239226,4794278818,2931450303,1817991312,4148944695,1630313538,3631485935,306812549,61757888,1184112108,750795941,2802495498,6965931880,703253713,1350101816,173071038,1351654563,2143239676,4832468488,2432445772,8827172208,40867234,3449352540,216945532,508902192,2030838549,865894236,1218933472,3257519118,4144187682,753619281,7710293440,323556057,4923534726,1034021763,1954154210,733469412,809620017,13411524,4431667590,1571649085,925253560,2241966054,3441567815,2174797985,1154954312,1332200300,926172117,7449344864,3372445184,2155790768,5058360702,488363212,6658705856,3967096866,7996842495,1091869926,1259608394,2687825172,3188157085,1175181700,79165536,644793006,442493532,332040504,1342119159,4405500659,304129862,949428497,4760649306,7761944286,1561171347,1329891404,682326666,2122870539,1812425720,385625408,1062446820,823427854,527011305,1420324565,826333092,1472136384,2486657346,5900682270,1445208520,43171900,275340164,3647647325,1281081924,1757413462,8426556459,745019151,814877016,1574544069,3716071688,4809302896,7970911965,1682113950,2759829568,3361252772,1170228862,224544912,825905718,557507223,2945956647,10430061,1480294645,3777890460,2031599515,917112523,598892900,3151585787,2616943653,2917982796,5040454503,186089970,1004747388,92442708,1407120096,5985845253,3042992140,3397440808,1447201004,626614856,148139436,1237570125,5167659360,1258599516,2625485346,6665577208,165121672,54596685,18295680,1158979482,193644665,4029890967,3706536676,3325015896,640217466,1376637632,616602324,1349330012,1060586366,7186855842,5996668139,580354776,1989580791,844459424,52658766,2584014930,2105931852,133984683,602258264,826390748,5818466400,4339314243,3082371816,1304556604,8510798403,424975992,1884114513,977827008,1751714838,1567304760,475494472,5986111272,8663833179,87060410,1912287680,7860564576,1421497620,2155689200,75296318,987002652,2303616476,613313724,5077519794,263607714,2952467826,2975178210,6149071544,4888776536,2585505324,960233772,5564402473,4268003808,2992394934,948640190,4740253029,1382553168,2285125563,1690100394,3484904164,2510514819,1978118804,906967470,3472449840,2187312744,6162848232,900670074,388701857,93534905,4215842945,1262030760,1832080616,437690704,3476844858,1204536990,5576343500,887337174,2719949368,2960788122,4627992355,187493901,7588487480,2526281401,139432142,4741783320,556498971,326179241,911043522,900681226,1679059020,743674630,6830615583,2146244668,1806480808,2916387156,517835255,2159162142,1547904932,7999915480,1519836246,3394138024,4721288475,531398087,1331585776,408119910,357985145,446822766,5185953224,2300353362,1674461005,1968613960,74471432,26441118,2792525256,1146709512,5850557760,1252535,1351835500,513709805,1882636146,415940922,1606441697,1332892920,1428565320,727908525,1675329320,603475344,867152899,2605917872,565748332,1181234817,1013947780,919712246,2654061576,655243167,7713824520,2905751472,5083278516,736563113,105012720,8639186859,3515065515,1750357743,1396727166,7295712651,1195105764,3870317080,2589638075,851356344,8998557327,434891321,3919432941,606513331,6598997910,851751912,3104432268,3361564668,2748485860,7331830326,4927053792,444311898,65529374,3495723960,485607549,3466316105,4777217690,4443507258,480748198,1320495112,110417904,5907278616,4050386100,4519083830,1771490464,826859604,1515762825,4692647477,925486635,2306853672,1727859910,4928654007,3635689105,1678787316,4855676042,1419166190,1264204564,2101853384,3204351318,311457938,4991368833,2664484915,1623557340,4344169000,113700734,1644585084,1708928884,791385784,587590044,4893330590,239867615,2008487012,201022130,690613728,1282845774,4296361548,4806654325,5017868112,456687340,3251558564,222944211,722099178,2642570470,3606201036,5952372813,2610629660,1420108228,1226309020,2337332536,3690586475,713581433,2735955210,5042385906,3094805435,4578274575,7467884820,347584750,1507003036,95606122,310454699,3653596565,2563701235,4836209602,32596828,1268699688,3791998749,559247738,2040652090,1970309194,1569721762,1969740380,4547321172,428152081,4443474512,3458259425,1639077672,1620784236,2564131983,6920923520,2032966440,6833291418,556548600,3659111552,2308168152,313665535,3037368467,111753156,1188635110,64439362,522486748,3179935698,5986799730,531460305,3818353084,2883230468,1955215620,1983844536,174529547,4077737728,516544234,7652785059,114511096,1698365106,6336137969,535889250,5101492578,3461871938,1150671176,2769107515,3744296425,7673284467,305200939,3491488968,761215734,5695355871,780646237,2967837348,948859206,436610088,1709414712,179624826,490591039,567961923,688754282,656931060,1905881940,5952826944,1684296372,1548805364,334545804,2728131184,2879512713,4754101668,3754330992,1081480476,5235624037,653634604,591676748,4824481158,804904359,697388804,8967977298,1374896628,525919896,276140145,127131945,2533525305,3123348102,4828097032,3130909744,584382664,2118890550,431979780,2523920896,3262681656,2193255834,8271503901,1748790747,2918434656,1045272616,2662537473,3878281936,639754260,2504632320,948064327,1727921631,3699313176,1815443536,744365748,1932585039,205026856,861134001,116452691,932057443,1480514708,3437358610,2838410796,3668646984,2978789768,576632484,4607195085,6568126240,493114760,5369202454,2199859812,4073990058,6539188978,2697141174,89135306,2176597868,3248521040,1921585858,697234247,972608568,240289024,632186644,1223611446,1151175660,5943908457,1766161834,1504838595,182972447,7247881575,7604197816,75818874,2701162104,976364283,3273662385,1590819441,8495605908,6719530203,3359119180,2890456715,2209363340,4138762565,2168145546,4324445365,3267807696,1058510484,1357279605,510758954,1652420145,452094717,5527578843,1772420784,4098635816,366162453,763347379,230684256,985441743,236260584,2479657053,272978328,7861128165,3135074112,2047520628,1946456421,5116477941,3679681690,2422168059,861626012,2551852992,1049465376,1209533606,105367656,3216865868,678348558,264373665,1217507571,8417211813,1544947086,18012000,7351265424,859585860,94476041,3911207400,745463920,6932204560,5674472100,142161675,1659160530,1411555208,1922001612,3060569743,2091138090,6568241418,6261558741,2819956968,3069506232,2685674190,113792700,375536466,3937909964,6887789640,4988581290,240758922,3193585272,3567470034,1991783664,4314892300,4860236190,806745035,187546593,4616890083,2892728120,7856091040,3598615172,2189687228,5233418172,20381288,5532937998,5261294584,2884490175,1012894596,3942093755,1505471236,6057127032,3223902876,638076585,1815215784,913657566,1268269368,126610012,1336658616,1056807025,532127241,1442375375,1175832882,7164109240,495673495,4768592765,5218323849,3781321344,4087620032,716439716,49997971,379379160,835186824,462087071,3508488298,743090234,881571792,3870551024,682571938,353087584,26542571,1915844642,6222624651,4009051416,1200194074,3178673675,3982522086,666643992,201360301,8690054688,2056194336,6609140832,6281871048,148145520,5255600064,4936462785,6532093170,374682396,1114290128,1726473424,3118513850,1474966584,1731752561,2923567840,1432636371,2346729420,1256898805,2219565987,4776775031,796638735,109078376,3647342826,726079548,4697143290,3754867004,7676537310,75975540,1272737095,5282510768,121120580,488445555,1491899724,4731467628,808085965,2580170742,4061026002,5546132823,1936739156,1862315846,879255322,5538005672,1510813464,2040861513,1267388672,125441904,1307927760,963774726,552025830,1161144188,82814681,4712577296,2438976196,636817878,77139394,6387886665,5606513172,4237156746,963542508,407828008,955675428,904192740,2010553155,159695806,3399712281,565599723,2307212375,2834690922,1325281174,5585707449,5838249015,6966976653,2889120990,4424461512,3890209310,3454969764,7909493392,529845670,1589891646,830642274,19623688,1185312850,6613280235,137186760,1711429656,3171193192,1083969108,2387680284,3720782808,1641416776,2002130406,584651144,513675201,473904099,2623659295,6278029144,7597888380,254086248,554143816,110174036,1890330006,4670046915,8381336787,7317143112,6646943905,4151019808,4170144995,4381962344,1270155231,520581061,798351265,4280147368,860837085,412126028,4686103355,2725160679,1147615833,995979999,1615148208,8861539869,1796656384,379486940,1407881428,6326629038,3926745824,592463169,1893425402,407240425,37382000,270711522,237382916,2731254942,302315772,2002464400,6932423700,4361708820,733249568,2888173296,1009020252,1880639124,1225010670,5727316365,396498846,592009360,72775806,4569703230,2248415382,5590580541,1519734314,1070404254,4921471090,4592205978,1133094378,2924689000,495620864,1967426956,1632966774,4551287526,3038017626,1641313454,195120602,622896732,427365843,822288054,5119599753,5713299928,6184139679,1612478226,561133064,4413070280,387190204,854684575,364405120,12238860,1421699295,1507570890,1206708318,3567607134,4628908800,3771972144,1105672670,3385086943,6820033129,5397115815,4627013790,1379636390,7077527248,6307918672,443972600,1593003444,3959276804,2636395984,5707969020,357762292,1424121882,726524065,1587580776,203891670,674135266,1498501422,547632276,1720218840,7387473296,5127525324,1701660032,2535529374,3762691191,4131611918,3967098457,529967901,920853682,1549755090,500059300,2509394067,1982422756,941600768,6664405734,904174002,672988835,6283740393,1120596568,307986550,4024887700,2469634326,395170152,1935256332,605441255,1906031544,4526769030,827647240,4738527515,374216422,8865156231,808993960,1329996153,464346552,4704510461,918238152,130132672,7539921176,2527790728,732445340,483253792,569926509,338780910,1362834158,4623144084,5844254640,6655441520,860997504,3830856325,1464041124,973462490,7280016642,417791535,3965436234,3415066896,2602958096,175397787,2756311248,1581654003,1357507802,371126288,12551517,3994295892,515975474,2845665744,137252059,341027312,784416456,3042234048,3596003658,347770380,5486537616,4638746455,1864666245,3663692168,374286800,2502538479,1613899162,7520536377,75693342,6046357833,1905187344,692308423,1930605168,3701598136,6813870,4377154437,2437792056,973965104,2526885644,3594808344,349654029,3625422820,349889850,2387423592,191878056,1779334581,1016381766,1446549327,3587531064,440718105,794600006,44825493,7168881852,5838399438,948719660,965385690,6955452077,8259803676,1674516404,2826622928,5543298072,288015836,1517955210,1323527130,2495117224,372427553,7140468360,3882749000,7671077784,5996161899,1839228102,5318332632,1313132370,297051915,810587840,1349524768,5961488272,663855268,2250638961,1464460254,984531496,4988737640,2691340389,506028326,6810322824,679597173,1650476409,2559493088,2017180206,520306410,989295838,4969405323,1300236252,695481208,1217726363,226064800,452223490,2052967062,5421259575,242465508,1578938758,3366945891,631922035,6809898792,4259535483,8438343732,6432973280,526964902,1566922506,460853700,3799901790,686506672,376327640,290128675,421297704,4583962750,4948851708,379848712,147647435,1290632312,2185413552,1638843710,1858894176,602517168,1690889244,33073182,3080035956,2083751730,3379552224,3053722672,1073567096,440874168,2108311425,1661386286,130160147,3634271370,2831983224,291454459,930488188,300958134,8549865216,2620922862,3524158525,3149457786,4477798297,3915374088,3958255896,1269459872,3780295230,122662554,746822840,6122800048,898060420,958309835,4995518540,5895507457,3851408533,3219721749,635831922,5733000840,1775018594,1507641816,966421735,5662969164,1929241124,5822613324,3234130781,1249947450,850890144,6018393159,2566371930,408035929,2228751707,400818766,743357935,2720517855,3507339384,2804521620,2765804636,3995001404,3675967325,2157068264,3448281104,107005052,1692495312,1130424854,3347464290,977167289,3933399508,35168293,6518238584,4459264579,5173390944,214433501,1732382300,5023269256,1668316062,322163010,2867563576,2705329580,5843251836,477873102,102519164,57247341,2332004381,7097369796,6196900032,1245436703,4657132669,3138349992,1413712608,2388766566,862061352,51621767,8120235906,204017285,7536402,309593544,1325645994,2657529708,4962741390,311034651,2500794289,2160736652,541533618,4361176405,932917785,669107064,4791437805,4270814730,2734089380,2278370285,298420004,3506489505,7448568165,500580698,855881335,3298606668,5118202803,3895750845,6594930054,774742222,667824375,1407801748,237764680,439206971,3144398075,1881280320,3547761849,502001616,1987540454,392684438,5057728904,4423792898,3574459860,2128235454,188340380,4808348272,886042918,3444317976,593439560,2464950408,3775612824,5989744656,3683404996,1390001515,2309172117,677145630,4950363055,5675568894,620194698,2054971785,3882223317,959432951,1428794736,2936751660,1489706715,1896478570,2330834660,457361901,716187942,2603610477,1425915050,5603929602,2346170136,4466624336,4955073845,750807920,2398481304,754323138,1067161137,616588272,331627545,536440725,860214685,2966670329,1989590103,317406522,571078172,875745280,815096280,479737476,374937512,3207672990,3775915335,2569353750,7000572717,4711544436,6265694457,3445870215,3536997265,2695470972,2041130780,98294797,725424687,4242819825,7910027226,2741568910,1608028740,1064666085,75895629,2748452184,887552252,2909208760,3769522338,3397131192,910662942,3136748360,2878995537,4410888720,7616093880,5441323842,450479942,3473010135,869817354,3883399944,446265680,2946407527,1191959195,5667949206,1326183020,576142452,4904237454,4944441432,6017757347,38690542,3029100432,947823935,186570280,6803845804,1045186654,1098289070,2600089134,442256271,865163000,8402916780,907706819,2631333993,2982142518,5645586808,529307184,115394550,6025191907,2868754520,1451586706,337524720,1482425536,1674714123,495830918,3533257197,8209788642,6108423960,3213081995,1109407584,317871387,3438797920,1298186472,6020296524,1299894400,953899100,601577950,721569644,789945975,2254156009,1624277795,6916067632,1284851152,1001518536,1172787774,7988707200,4211394115,7610860776,65539432,686136382,1990633707,2634374632,1862362544,4403403558,4520075772,5174742246,1200081,3076105368,1852225820,2185099630,3987225326,3453924123,4944570282,972604782,3395083524,2667416080,446098449,615041026,617491612,277329168,505107785,1085130615,4270977640,72052168,2345936730,6191282896,1347480648,3880855548,6115585329,579791784,1962061768,2540405610,2622064893,2235737065,680777168,7642109568,741972336,349357914,1000157616,2842207800,5506734996,6586714477,3039765912,2709518420,2773567281,6322587488,2727983736,5486478207,1854408555,604645524,534760878,245812686,2227687944,857668644,3720329028,422343504,3349619308,3875259808,511718294,1640992554,747041165,6106088889,3729551490,2394508731,4468258504,571873366,2317074315,1431240232,6275627176,2424297405,1982499723,3298180175,854928282,1807762160,548166885,4943373040,1637820062,1626232935,2127031248,3408196500,3210713422,2390526603,632362766,930661396,3920271642,6381919737,7611867472,131431077,937517889,2207295796,329682604,970663671,2570461716,2185276952,129375652,1339705302,2328782985,3618936585,699401504,612822072,2061265686,2321549404,435507158,1309268590,2589292223,351164904,1510572436,3179860005,3378637060,454044132,2740991865,957424786,1197025020,907993312,4300842483,3761751540,2180839329,5912557567,6775674856,8573114772,4301462568,1386941418,546337908,374656701,443569940,6282906588,1050532020,1634582826,4389824292,4171193484,1611963495,2298699016,819647494,2422425006,1465810959,3422110794,914879417,5477161134,7583506968,5633977864,3039442870,2313429044,829348974,313428402,2095762176,914082042,3755188806,4050741096,314483885,428105036,5627257951,402462513,1781979195,2832422720,3603216776,2664732775,1949315478,573993237,1753415342,881526692,791723112,3957629622,4581703782,425014765,5012006696,291147158,3893777912,2892756545,4770379017,3447938745,364482552,3237521,265359938,5603425083,1595148606,949445550,855364320,2031897744,2564366292,1443933186,3329836856,2480899248,6740848056,886276282,676019127,2510339728,3649667220,1622165276,3646729725,1991206470,435821035,2539443204,169702878,803345667,2618634303,3655350544,963461256,8051144544,385490260,1843442454,2279708485,1852439648,41808394,2555899576,1664303775,7263999450,5639901384,1659305644,182439818,6691434890,4076373395,1842569748,4428426968,4278627535,1151237313,2152707844,1395702099,4171319735,203761708,666636908,6501837690,1891109592,4977776095,225260179,922502517,1339780448,406746058,1810262010,392572278,1316837615,6346590341,2020713324,3826849500,3136053634,1259998088,289562860,1395695738,5066246328,4447308096,2375706336,5605722941,405708624,1015996136,7507793448,27042056,282036278,322152582,1932605919,7165421776,1305656028,624976832,4985910207,1451481430,2475684344,478045022,3682557138,4588871424,367861635,4062308048,548973265,7917942348,637179720,3070391844,716021823,3628609372,1778293438,4296956388,573986178,4127003610,5547388581,3729710406,1057583326,648429176,1257109655,1260552378,3212205888,3719836084,6301038373,804469082,3871677104,1543336431,941819892,7062073956,1194472530,180682574,3906984662,449046660,91863516,761884214,6990071732,2228964165,1728706825,87255010,2635392507,1284488907,800205525,1251101532,1539148668,823910064,3125009400,2634094708,552926100,3307105584,1255718904,3816726232,609163810,3094814639,1614893628,3513679780,2801231199,2773024857,487264238,3977502250,936966121,5996026464,819110184,477718797,7724007848,950312937,3507263312,2409993790,3737206148,394753270,3608529624,914181074,7659295432,2567099454,5652775026,3154499150,521592360,5310395181,1546323942,2276529798,1383611116,1370582064,981484228,3422989060,675883567,1923780525,159249006,6260185057,44799182,2249121936,306552241,2292761685,2042735832,915260028,2548255330,1163878260,3505877646,6405434532,2187751688,2776439825,6330802982,488344836,1943200440,34005876,2744367207,5938055151,95906098,253151708,1572463794,241168218,671377788,751561786,1146035751,1441429806,2233724048,1987104657,2323253679,1806547155,1053878630,522687700,7487538426,852804111,846265134,3554281479,624133573,107133045,228898484,5178937548,4917229542,4185985356,3054449496,6016530192,2117145254,182407172,4808469768,340105890,231080856,933296670,3163157868,4805583870,3241091336,3737139546,929951973,301567720,1835247672,550725108,3256958565,1868252939,4259449989,5004774522,775141740,3283625805,2358908620,1139591992,491937663,1883359072,6915693123,734823092,2377396614,7280462312,1314842316,259507916,5079753700,825561756,772675354,1464319142,51403872,2649747360,132047067,2230155688,1320229268,113819346,1808937040,1836368124,3101163612,7328483766,4734610536,406099725,1058132442,1196837628,8210107035,3029140112,4754921892,4524225160,382931846,2921671476,5800791080,2946674577,5143015556,2669392320,459765180,4236515241,575105928,2446467568,4821698070,448138175,1666762492,3583596016,1961160355,803309270,3398142195,2341207144,3876116212,5158572160,886598197,2211000584,717324531,525861800,664250340,1244969013,68262995,469586032,60371659,135287176,5942711222,8839134333,2194108679,2132946305,304298736,2802071316,4760858319,411650493,7363818200,5824798864,376261179,2145203892,8899696323,2576494450,2792967735,2955406656,8239835439,8283874320,4342442724,3193667970,3466380379,2136430797,2042298234,2949240072,51924918,3218974572,677873155,3502951768,3618467648,1884058960,2423213100,4960836834,724425983,4664130905,5180338240,884591742,6560807078,4347872934,98364684,4533242208,2174013081,3096002616,3590841058,3232000548,1781507946,5683903812,3446232712,2898030704,341829168,1013826770,3167362024,67211208,4833542231,766870428,2275836773,1629606132,2433208016,2173223928,2412370620,744265565,7020303760,461797809,3006848656,5737096127,2673570600,2621828680,7582669120,2741787286,5706621876,2272178394,3207467510,3252350262,4158792477,578851861,2066543367,2674829484,3153051486,1177747210,4629841392,902840343,1243408692,1407950395,352275078,1122631888,3136460588,44327750,848009781,605858392,750937326,231275457,1360967439,7142203440,3617653948,5255351415,6689508464,1609012764,64511560,2592620808,1913313160,1182842553,4716014160,2661818607,4091917480,6449312282,29982668,648849116,1327446939,6670573320,74893413,1462126960,1919814146,772459568,2354593356,5385607704,1695353568,126096383,1170660012,1909250420,4025202610,5409801828,53335206,2126487104,8130785724,950995633,334980402,134840759,4465807300,687059571,662869021,4579984296,1239642074,5965411362,1329769250,5076264420,2248452066,263794841,2327610600,875089302,129615078,3257990268,3057662025,1379425863,1041770250,3123315728,416577789,2729964102,3497551065,158967057,1435826442,4619449530,3164872864,102843958,895709970,374908573,2002779180,2714930336,3346931736,1781963519,977315783,237012220,3248490063,1624703616,4882665990,2373901083,663857589,1773233564,476473508,5212173348,1922252016,1204310136,943531509,2614561737,4014049744,139147125,6719037066,4352283720,2955642120,5123623626,904937292,3721563720,2447331112,786973761,1635025500,7862384168,5573485040,2776597131,752477286,2985174964,2484058161,3438527804,6280352400,1634847738,149724084,330581781,1030822520,1034977329,5989439910,3240624936,1309071444,3767253553,3756353685,1462926240,440310552,1663617675,56667428,912737090,4379948502,433295777,2667677526,2035705700,3127492696,6304020380,430147053,6600609448,328405186,243222777,130920932,169334523,526488816,519703156,2878096308,3167242656,2763406233,715795871,404743965,158256183,8643317238,284396361,5729787528,2125730915,3820365476,1971353708,1145397800,2426542384,1726529902,458588082,511404585,3297168768,7854075280,4964202481,1871416470,8407742076,7635835056,2244890335,4115645030,2037773860,252728693,4200185941,467094079,3802767710,4787132910,2609539236,549179764,7775126289,3456316465,2897993661,2022996132,1754991756,728265530,3432232368,4382820990,3166598032,1248718482,1106579724,369113259,132321370,1669014030,4977734574,4192005618,1853008017,831223630,2960579307,7192088760,4500018288,5363636016,71715133,819940323,731680538,238359496,117964089,810053853,798614795,3966086655,2046481040,666974505,537633176,2569411551,142338789,1671213794,2000232345,741438559,3717721736,390230074,2995506328,222936642,3359067128,1550554479,363113226,190448290,7716178056,4732575035,6705673520,862327696,414230418,264329435,98426791,6181688680,2195540192,4997704614,2025093195,117962154,3928328298,395180562,184451140,1286560653,1849451684,1058002052,423477341,4746300168,1018115646,1586727780,3387389400,102724222,933597228,1078150592,2926651760,4168691370,1736790348,2420034432,4217515816,492613629,4019444338,778209327,528637752,303961869,184307039,1804222314,2683528792,428818892,975312207,3560357825,1419497250,2394555480,1250460672,844634176,260124535,1384257620,1716932952,1148143916,2302540290,5118846568,1497815226,1848792800,3437581112,292398305,407753736,1887213258,7755839656,728566448,3452855826,1667673576,4357081610,710397944,893065604,4340106112,1054686366,1379026880,305566300,4271640555,4267569155,265926015,1012693224,668269919,1595216490,4299705475,1049862072,5871124480,2463795110,1971810940,4846896570,15966970,696380242,6843630249,26623586,205699168,235696742,72042217,5878876656,371877764,247061703,4226418395,6532633338,4339817220,5720444352,1925064042,4544616470,1362734262,15814618,2106452240,1639339281,122684888,4062378649,215097485,582522270,3902447935,86362980,3412782876,1157094870,3762395058,1634627796,2476443884,1502149542,58044588,2316508448,915695462,755256860,5593034592,2479522896,2349165834,2312554308,8433015750,143184436,472282202,942847835,480081954,1837488219,6513194088,30051846,2900044216,900896640,397402035,723927015,7432038810,3769805081,282189985,548820238,358034119,3938657588,6640049280,3706638515,802668200,229941658,3519008880,2681784970,7707003903,2488807503,1510359320,3204173064,1535262210,2504978840,2472746562,5453993398,2400555148,4201517856,2683244442,234534983,364525841,980211842,1256947728,2869965,1092985110,6652448943,45732636,670589700,1155431182,2617309860,4369608500,3606481074,581161432,2584303983,6036972948,2625281720,300991462,886362757,20833297,2940506829,2253991047,7747152144,2811975096,63628488,125086136,3256804038,1725347256,905062752,2960286196,202134282,5767290243,4298308154,303964489,791417848,3690652375,199120447,1031831930,5127364206,1422692910,594627768,2528447592,5133809502,7752502314,672536975,3096656784,1378902580,3193342344,828938226,1914911185,846336837,874253560,664562770,8511589557,1321048192,2329910996,5846379546,4963419081,1908740000,1408562120,683456675,22289246,5050879872,4476388338,675361925,1419569072,1153362628,1030506528,3841387955,4359255352,378212191,2861695080,352351066,5426020140,2404439248,1348395562,1103545142,3766540356,4211701900,956357958,2612597685,1123475038,8037702180,202521438,857865843,3124600,2233359728,1437687880,6245296587,368474116,1758810470,1265608436,909694524,5632664288,996606435,551991888,2549813416,4550387340,5711899368,2845843302,217447172,1394517426,440716126,1833364926,2940044169,137371352,1202926888,3394030144,155054196,1810199112,2137713966,5743803483,4880912420,2913380560,404013465,6525051785,851028228,1378877838,8751554136,1008984906,3961361439,2270580460,6108749280,3005548790,250544791,5833935330,2477057286,2162884077,2743941684,2607889760,553543602,2436426987,2628214200,2881367820,901208602,729817566,1818400152,2295005320,7284146496,2923307952,4615439475,4804224714,4841721558,6339656440,238755258,419020504,1864301554,1815825462,1620290875,2042569316,2381796240,2191643802,3704328212,3317055768,3002791960,511454050,4951286898,2609345655,2442968215,1711713138,798487583,5214383232,2782803432,859903526,2402834776,3332842376,450867171,1376976416,1878025216,2162797880,1337952964,1761123362,3010573060,8493532209,4862229265,2567257480,781526417,3398614876,225571606,2929651300,255027220,898404569,5303721681,696479662,1128432384,345978109,5695420506,2558186496,193640703,410610687,651101884,1240767484,683254746,1646838170,1428623679,3433684320,605245398,302757774,2850541090,549644010,2593809448,1535940670,275204083,909041646,3791930675,48109021,2311334745,1152629002,279784323,2859891888,176083901,2476928040,1345366152,5562948660,2967081944,2093702056,2576717605,8875680372,1164216291,528814149,6681590384,808665404,249611271,1447349612,847876412,4723221190,3815761596,64453023,1871884548,4940741178,815296068,1475664345,3375585925,509176023,574270781,508976420,178047220,841638618,3853323285,6204588712,2173801089,7000189936,4280346555,2442618543,1641371996,1946376046,5170715424,1747558980,918950466,4814751670,3374468520,482679248,2949505325,2962382980,3665229235,2718291600,2284397250,893457313,682381776,738307150,3775419930,3679303680,2152884876,707039828,725218005,2763551460,809070573,918626808,2561649832,932815735,3593675284,920721160,6339310659,1945801904,864861637,20525832,909272182,3398993328,781968000,4208857146,5365687384,5246215940,2175831927,270474880,4203620703,6600712248,909260128,1506840680,4064927796,673521648,2147289147,6303571800,341704916,3588941865,3642997338,2572561134,7973755808,4513657206,3865200258,1182444750,1135071252,3195913497,2324989890,365700818,148326444,419524740,3494470256,5669617416,3249885365,251048372,1280550000,591352812,1732459770,335768766,6798551200,2274649152,1902192936,7117090353,836371101,1339624040,1110540330,3255296860,6231369078,922086533,127259024,4171513266,6085322232,6035034110,1159826684,109344564,957353357,802854211,1749636504,4221340092,3272241595,3845108631,1682120165,1457557065,203084604,1849450001,242603624,7130375536,4790646567,383109390,6427621296,3969751005,1291871250,1109917501,3144032284,1646103512,488211801,972894186,4742978990,1196696190,6361409026,6454594727,2683291578,75438202,976677595,1339308950,3148812485,7471013136,1090642920,6417600063,714577006,538975136,732768200,3441889530,1046979288,1517529108,3628489065,3537859671,5324981058,54209864,7130817045,1663477530,1804713608,936186006,1438981668,3766777240,1210964103,1980619347,882317270,1325021805,2715052545,6036321760,3056816016,3304954080,713878372,3773108664,5388540327,637517664,3957838326,5710101975,4139054507,1522153924,1180300268,5898547298,1075847730,244601978,1558662021,2944995032,2524296405,7786160520,7483728555,1340331525,2875496832,6548451588,6107750712,1680194144,912884311,3372051520,5666853966,1478242342,1690734165,7163523774,92086960,398995527,5806784862,2654057634,3641839088,107775384,1883679265,1746668961,679034373,674689885,3415128318,3524198568,563859465,282802450,633241608,1202782542,437213848,3878586828,362580920,2509962462,3207465040,416065185,1407576730,2727196839,7397419212,8473106133,1859404804,957339480,3282319650,176700076,5463831940,348311201,494837454,559123942,450271780,288392330,4501732755,315006268,1103793664,1546307142,5663248528,870126590,3174978732,3262070690,22046920,5056284506,1882212296,5381379546,4331544535,670272722,5793559308,297675284,602461301,2936854182,1283632941,1171085504,1374204252,470630994,1334537802,623429590,323980444,103417600,444270694,1683188838,1915474932,3247947940,3324671524,5631646455,2653766504,1005429774,22095366,6387865225,392169911,866006244,458757106,240461262,2962354446,1898812266,3229236438,929405110,1533723264,949850441,444703914,1369178002,4613173965,670694478,4138897144,665880608,5929589070,1965857988,655369437,1073627586,973137445,5334914286,6190445016,7885642472,2856816820,424122294,642664925,263158581,523499940,5338036944,624034870,4892137335,4008099328,4373094887,2555006022,480222568,622939434,1714467000,78018864,568022022,5401773456,2815233424,2984332690,619377751,4210671858,1823032870,2779737792,740832445,8800833222,392940190,758798763,56418692,138091132,1272484788,111302870,1165773104,941213182,3027679176,675666352,1010619862,2496580278,7233382935,256399052,306323325,116986492,498378935,764648512,3095966516,2421748836,780107841,747903237,519345141,3771878804,3941853480,4382751130,1806710952,2370809880,842602008,3039000455,5322868677,806882174,293471652,7277543104,1968184434,2180546984,1270669620,1255932438,1035913761,1042368334,1131097779,1415033072,708606038,1735264276,2461980143,2620667288,6998676433,1240310208,5031810196,3948382175,299495538,3046220576,3674024955,5623241232,3552268678,1130881970,139250667,1638898587,570691235,3397706792,816002554,4628844999,829521347,961014330,4143161561,2198985418,723871512,5919131072,2675884068,7306633710,1951905741,22479255,870085636,837398457,2898797298,3881388536,1320100096,621309030,1103392960,2446806928,5482352869,1082960296,628686130,453538968,2646949938,5232145184,3404038460,6216099120,935529688,1413417184,2076834192,588255937,2774131761,1988501736,481224376,3424899384,1175829921,212495098,2926912020,5694267768,2828694639,17157194,2986555080,596298503,92225387,4624862704,2758374688,1037745088,1144426003,328910036,3523489408,826880266,907968778,1605167880,3767977680,1823126168,2021645310,2596103244,422034775,324568283,5729963544,1945962093,6703710951,2800638414,799329822,2451089768,3193599882,30252950,5230645512,3792594596,3259967118,1943709930,4629480595,605738688,134994525,1801907832,669225591,2379941463,8829369675,8623178190,78021972,978809990,1329298432,482107675,2611588215,1181152090,4032697510,5874735888,3704046885,534591975,3565796470,4056233920,2493452428,727650494,6081857404,790530783,1116908042,4463923660,1814414805,986321812,3522249654,3354844672,8196607404,2707901058,4492775706,6328217772,591601096,1591661001,887337632,2389814415,3114787165,540518013,2285961175,1840106938,2391388370,160442826,6438478208,2472110696,4061397396,1664266176,3873661047,3025599750,96938412,412897370,4763740080,664842816,629545975,354716649,45580020,2712756753,2237193224,4829844740,1678268356,5487531390,3964243746,801484970,3886103950,391374893,4948764336,2996849875,1111884400,551068054,3445969136,4881580992,990402429,828772080,2393113530,6909670566,3986107880,538249630,923514865,271120064,477886970,121444764,512433150,1951178675,3168565542,1491569264,893825586,565696563,6009663261,1096637754,6456990673,1644504436,872876376,5687131002,4716953435,7409885832,1575388695,13261010,422873433,715593466,3617189775,3906537903,1806991206,402527082,3567653028,7328731185,472786039,603765436,168174757,2701836280,85823455,372017290,86886474,2920200801,2567525644,761324179,4197183306,1998855714,1275241348,583470847,498364778,392943313,2739877788,1871208890,3237917112,1488857622,6017452816,2977676280,4028271915,6891527279,380764846,808301922,744089770,2724513600,185104695,2325615678,670731256,3468747624,814305583,714333296,6643761112,2824159863,2161393824,556471616,130587876,3472142570,992087240,3609104004,1407407151,1740567270,5869631920,1212057651,2748311856,8964933939,5164207832,1499746590,760905796,618865669,2052081008,2750118993,3264617256,563637690,2720194288,5379933192,3673011680,417258095,133324100,2643964980,2571223017,3082350828,506374155,3885676055,4339224768,3291094590,1841525570,785310384,340442233,1466223822,6648970842,6410680136,3630807688,6399118512,5362495392,1212402924,513496256,3163049586,4269502250,880298982,1903617957,4893020192,685828570,3290854620,523138260,141498290,1334870006,212625625,3024993480,2443566388,807936331,2960976140,464661468,824004911,1744498763,335987511,561568986,1785347982,549684171,1924479460,3800936,1712933346,3703570396,1417912462,1664971338,1610026323,1115139762,3500438502,7595824656,749252084,4565387136,3829969176,1269472532,508805727,38541069,4312964115,466305256,3204305160,1699416358,4603347642,853141410,2047306784,5131703646,3120120560,5695142600,3858194100,753982806,6021917739,2700783980,993307473,2400418059,531029877,7255730781,1781096261,1033025365,825596502,4294998408,3590580164,1179935163,706399506,2516172135,981547385,773863196,5891666148,3871027892,1125291452,2321052831,5480170088,5629998928,3863129112,993581016,5510842695,168695070,2614134375,1220219844,168309905,3091224096,4573043720,4861377328,2297430096,1739878088,163504188,4346299110,3982783472,1100299796,3829419342,8687829996,1401344145,3572844516,360413784,4287503265,67915100,2490471156,2753359626,2729693106,5782203420,686349469,611358960,4156529625,5022086104,952007680,330446675,228433653,2937641980,1412375864,4826610810,953945808,7994400345,1720955586,490977764,3257008533,5220227064,3357883615,1719979233,1295599392,205297746,2272436155,855906380,421539786,431257947,5304370740,384603900,3768506365,6489780094,1059162492,3126662128,1708185534,736710038,891033084,806157024,744448568,6532044312,4924665767,1992081168,4149200076,1792858002,5275280718,326739050,2084002560,3549069076,375057554,249703304,2864427066,4305085120,462889176,2828458216,207638682,531864224,2034745233,1520545568,717182950,250933608,1297782126,1765468152,5663043960,4778158554,6847980699,981683928,6957196168,4492458549,1074085990,1226843124,5065693304,2192900460,897836730,938425303,2832642396,1118357910,4451728001,1973405864,8008367130,2510237904,504245588,995321865,4746172530,6517938063,687041999,2121695653,1212169570,3306434220,1510895603,323299180,5318239892,328444224,5616374958,3369681384,345938640,1330339350,1337492175,6125855004,971669783,1152288246,1741894548,2690774541,1116783423,2518962425,558972859,1569526582,2460397572,599015178,82411762,2874187728,1043088256,2101666158,1464459756,3890889468,4634180192,187740198,748687268,1805881184,2441431090,971680119,968612856,2833916784,1656411000,2261096000,4500542682,2141324560,2841726105,1774758580,2238388096,2199540615,1958429544,7997692216,40834083,1626238413,162958329,4054315755,1069969542,2098639530,4677674211,5932239102,80478857,2776400970,536802038,6700060521,5050554192,287544600,810742694,446723181,738881269,223979148,487172084,779709726,2176076070,278525850,1939531236,2578882636,1293900517,1590737208,3486623616,6157685485,2334099256,310060874,2948347014,1117941214,7246005576,4992247854,422389209,131729152,673748180,6967751704,524833805,928501016,1529712888,3359967264,3724526484,592236352,5756980272,2518719791,1058274378,1141463680,7917883520,768525974,6407147509,2876009804,3116382856,458360816,3914131455,4420031445,183250089,1514925310,3310591025,2586531483,2501798634,3906614256,397052773,7718689104,2325776704,7315094992,175030416,5474679984,2169007736,68855521,1401734178,193246111,3164825514,6994260639,2916589440,247984009,782994732,3628733976,432181085,1609532406,972212101,40926898,1956637413,1988925030,686308620,2466020622,50910308,368964832,4462701792,6578732745,4007353464,315342498,1702551897,1085916820,4613787612,584577992,1452168356,4920455450,1112331402,5408899144,2861997440,893361034,450376959,596752318,206152161,4133452955,1677174147,2990408604,4952158520,3887331870,2377041030,1571149312,4381994556,3614468620,2141472228,118637316,1829320656,45575828,288845562,3830496784,3807055866,4863309195,7490746215,1382749525,6430230624,4707276834,763067062,5988249666,600058050,375333146,1430115792,1925249864,1589623329,3443426208,3585924755,3101018760,2744838072,1740736551,4790565666,3687622652,391289832,874797917,92217013,5407128006,1185793371,579724792,1944621272,76646013,521044641,808436528,5810706448,1353675288,252651788,3271501352,4754095035,198285514,78208599,1213530828,550275095,6973386595,354255430,4623558385,1597836639,1871004768,1227433802,2471209360,969016631,1273173006,1736702824,423321734,1006957820,6782966883,2614137952,3159860948,2840221445,1770635946,1088212984,1132934185,395430349,2461137570,4723315752,1567411480,1388234682,1151595594,1177191924,2734955208,447122928,582100752,499238064,441087755,3477513056,405653247,1390421670,3915774444,933572898,3028235448,798581428,4783420146,4174378482,1890254576,1320557766,1586610372,3016973664,812037702,1647844566,4770233902,1359496647,2009877023,3526561350,80340786,3931650555,971473872,768485869,3465306328,2597573120,3749109824,80363325,4513934152,29104244,6336280536,1493658663,6030925,2071387410,931709718,2967670503,5064621254,244925352,5864943903,43974737,2547676962,1352268488,122660100,905662699,2002389096,1157287636,1077924825,1895829216,4860775494,3161501910,484250172,1240838370,6807729200,3654407985,773867870,856227548,693011158,514228810,6749037824,949361324,4439247600,360848705,599652316,1669987053,1811321412,6223575136,589452544,760052127,217635756,8451985590,3867634910,2465771580,1772856912,553980775,1332989886,254930616,961078352,292558690,532913661,4467083364,2909293950,995727497,4889371584,1510578208,6680201634,1323912112,2432207160,4970161575,2773503712,3854670680,4067633648,1148851260,866194938,1060301352,4468038264,2043904737,3468806390,111871168,849342240,3452667928,189587602,1583268477,826635276,5666011448,526471101,2101984292,5535547576,4942438424,182219023,5195514843,6238631609,2001313884,6315628408,2095836714,381468165,2078713536,3303147670,937671854,2222802631,906403195,625284568,561971268,1516758705,7279722522,1820430096,251412636,6038431281,1069615494,1746063874,2816055768,2941316313,965390052,4500505185,555616980,3403057311,1107940845,1169279646,5777133417,731277452,3408499073,2488889067,4817351691,1536075317,3620029340,179749085,7056137784,2522832048,845988158,344112528,312390297,621445003,684814389,6566771533,3464229560,1948866563,196535340,1140307000,1202206962,4907841140,1969203429,273039624,411524376,7440918512,662654604,636883404,639466434,2817130968,5261793057,139265748,89390457,2033717816,2413215981,6741320544,928559760,6983600184,1554953952,2310725991,4660865360,897168702,1995530337,7066707426,1703240802,859106218,5377975974,5147797736,6816195799,3039763636,2130793962,1186543398,1642443174,1981203380,496539738,1120060110,3359752392,1618341136,8515327635,1573817008,1167452770,4334714056,790680048,2196206262,2430265740,4912659409,6483059233,1771498242,896401920,393400014,38115870,2524574946,2123815914,339193412,63413746,295831227,4603850504,313361488,299848252,6303379992,1951530364,140122432,5338659375,1903165908,1428790985,653296231,710927250,1559632594,6108886864,5253499542,2904389226,1053433584,1480119172,2454074560,3840403732,5193075056,1695431095,3767097096,219546313,4870238013,4739388248,1760210076,410404885,2739833640,401933778,4572413856,4037520816,102373754,2184874269,696299503,747263449,987982436,1109866530,1954926270,2110883202,5211323442,1757516008,5414597010,5879591910,277242050,1578421782,1522637786,4345902035,520666188,4515568835,104045822,5344073826,2804224980,2679425016,3315676428,2165613576,819639276,7925183264,2974255676,162277560,1191846815,4129097556,510416150,6591136986,2559979827,1750342848,1210468888,4938496430,367384042,2329047265,1560442678,401491650,710018445,118867380,3208157336,2460755799,3227400728,5908742126,519804520,5240617000,3548099565,1526480658,555724377,6278770519,1443309648,1902135788,4831626966,3503173305,1256275216,4915121416,134201874,6187850774,4295301496,1563538722,2009438705,960680199,1927325225,303558150,934745364,3152303216,968960451,248127714,824860224,427251782,1933043540,4742835755,4317855426,2535087564,4346300544,4127152905,5243162608,2695936832,5346929052,1219805019,1316903936,373386184,3880312760,2862079491,908519306,6119586976,2241556552,837911824,227250800,2892194196,3476267992,338267575,825272388,1202830854,902115084,4316130504,548662380,3295167316,1543494423,3843114695,1783046858,4393467865,2131057680,2906918562,2516720790,115466088,2004205662,537444016,554573094,8182467351,2740950095,540972106,3133245180,4211193721,8031886227,2564675955,3509442756,3573599322,4715071410,4404035736,1035547072,6298625501,1204509843,198309405,444351632,195431874,4220442328,2031998136,1307714454,34511040,1730212260,1127529375,5358337932,4212061700,1054553772,1600220088,984211605,2722922864,617906544,1461017968,157023666,53272194,3012336290,4872885035,1934761528,1960877277,3804298385,1369934310,5994700408,337252285,2999042658,924396528,7993255808,1441047702,3981200792,515112633,1950801903,477584980,6001690051,55953872,356187409,466857008,144370399,3470569816,761748262,4551559032,2510099664,1559933325,2565292212,8390640960,2748363086,1952263572,64663235,1920195936,2522726956,210869956,2178779340,1749781434,174801972,2370698696,340974416,1233646974,32893332,7582096485,681525192,426530904,305237632,1544461896,27248922,8124151356,766474710,103556460,2786489660,6864839896,1918510470,2551280088,3886977144,5038089966,721289088,754628136,43081610,4738603338,70457008,1182967197,3647831310,4123864738,3880845640,460121964,6901497,477783192,3722825870,4533993684,3546052800,4757616726,660286016,137727952,1365659703,5308013186,1349683962,8357204862,5230057392,1854844515,1511278041,10413462,879621058,4931374974,386740164,4860233595,2773015231,943896054,3680759664,5201563824,1998049914,3035612832,1289666320,4202170845,7280085654,5234217702,1469787612,1034108355,317853740,1804847028,6311379515,1297082100,7932550864,2783108547,1149254640,3349726188,126361181,4335716808,1928825884,3020282636,2455679439,1952405287,82824036,246828813,6660066000,3344934655,8704706841,3712791980,377900180,5073569118,2888174944,153125244,198344455,3344518848,2177148183,8591375241,5027814234,2075917617,855699100,3091650548,7518804678,2038934685,4735397097,1047932445,1689627828,2936156328,193135880,5804176332,960472434,209157722,2676327180,739953081,7849524568,213001554,939165147,1183568710,3548277817,570803541,903446487,568647730,2733146591,2181923528,3257270864,3912469670,4472718306,3069647585,2413974783,3892341607,3417458128,6527702816,519160612,4689238135,1170801498,2470519352,2977952550,5926113688,3716231640,5913903342,2420483265,1147198948,4671393993,7285361481,151382431,762407875,3134935896,438378605,2636060496,537864813,3900218544,1058467085,2435872806,6521356681,3124359966,4154500960,1133201776,5234276408,3057321792,1645959231,2157822247,4606110630,4312104184,1931478624,1915767802,3007271852,470444460,2298160866,4998559746,74145303,1076112609,2975091180,1829830,2219716552,3284089338,2497306878,198763188,5113263526,1770056712,1030122114,63935064,376487650,1099706296,509642948,579163518,537659953,1176527624,4880011090,506420363,3490640124,4611783681,709808031,600982735,1542186611,1095776680,3281448795,723568119,1473390645,1791221810,1187843770,5675580210,6423210736,2718910218,8043236433,2540475938,6403465838,96455790,1560928593,7882521597,395285850,5692428459,2921749032,699146016,717258054,3292763445,441808216,1279441044,7388168576,928332584,5360111118,7468498143,57353114,4919110266,35480124,1078948950,963564669,91700232,7469818648,1374877617,2027743320,1192021180,3603783225,5957351792,597041380,4846323520,936458970,5339308068,618612132,505138745,134094183,393352598,6097651616,1390469860,1448319672,5370576008,2383562125,1832242656,2854856470,1195969656,3550692030,4688421579,5700790248,6473176614,852063741,3519571816,8416574658,2466432280,151379949,918273228,3736513200,7257858256,877823542,2843532575,591815700,2305674171,3429649336,308127528,1850441288,1034626953,2358950592,4657376334,939889420,2122217312,634251390,4352325894,792955353,968187184,643325370,1422779985,4034326216,3448027028,3559258760,4270386024,1780689310,2526464871,1583305144,728361999,3974404854,1008995784,1284730398,5543459703,142720364,2362076670,1297872875,1354548480,1847650280,4981447755,1089775158,1124380900,1501087485,3692975256,1036302980,2532297213,1855528482,2611518960,6380491077,404774840,154894962,583454669,4357713564,849798237,341701674,5210230116,594229730,4994777005,67667325,8825962851,2670440220,2226226436,1460127214,60015705,4314149700,2180264696,3716293244,1763008284,5736387224,4821687720,2227167429,549782436,1443707180,321772808,3616375364,4262524305,1498270274,2870069739,1781814275,3884038704,3431161377,3556705362,1661235525,1791941211,1407913332,2735200836,80007553,3403236060,7933624368,6943472382,4557324384,2818509244,2950000910,6981130996,3405635264,1226200010,6353196272,8267401566,4386494693,267074595,555778518,4525902072,4195973385,293198820,1851310075,2668548950,1452547048,1753802842,4291979720,3461875893,4139985528,1463369420,1273670559,740586626,4406679285,1615341624,5922653256,1265776852,6290793698,1806404568,2566116910,142267741,792721846,8500019103,4011565308,4507709580,524626918,1623032781,1779307204,4973348365,44266760,3976772715,3022208014,1540948925,523902742,726157810,1072547161,1585826694,477551478,4431910605,3344821884,4817784144,1513415248,3405574640,5269802559,995108494,1762786884,2494291490,540701991,41293656,4526167134,513632362,1764824326,689335752,1310261570,722548560,1010008065,6174112847,5531610078,411657162,963788439,4952598376,1394580216,3076101208,3760925790,466461978,2528167334,1881815024,3830218516,632037920,733292712,4292935686,258145326,7172239352,5506502508,77758368,1543062624,2595381090,5326980312,5069318250,976904432,2525643652,995183691,8657736885,908426784,6997894336,2103988656,419814718,824658942,5985301248,1211714994,729080818,4313583288,7556292126,8134544484,5824759164,2190482721,1076119424,33488980,972077704,3922726532,523974655,482708404,941842278,5446123962,760794477,1186336000,84830153,3130472,4828022850,305946667,5146189640,238333487,5204761849,2874440212,3829416080,2642358771,3254448165,5786558128,395139778,4575330205,787742937,411886522,4077283935,67156903,2446062936,2375347185,608518335,1883042556,7037336432,399886269,1604228354,4721984010,2875340376,3509515232,850225392,916764710,756244398,7163524,400983533,4403536443,2351078472,1137891156,905587416,602085975,614224732,6114011260,44074020,323146628,334996592,6618468521,4722888975,3939030900,3275280508,452058354,1755224112,4884206740,671858334,456023266,3653262445,886054082,510544398,1127125956,1837029135,4624160896,1281163188,4693810599,96901259,800785064,2142118866,1097463736,768611706,1576055536,5417358709,542753648,439709812,2254563024,2038164843,4983449192,2041169736,1181853366,2331710619,480233670,3021885648,38110401,736639272,2674133040,1010394908,1815453171,6478166144,1724528370,2226082143,2025426756,6558714064,3288984810,1119096814,3115842057,2280292218,8416954260,2042871405,702939024,8108253207,2770909155,206354888,6692680631,239615975,370856973,1125297104,1985521102,8362343655,1876617616,1647093303,6854059440,3252678212,3196739760,4812225800,1072620243,5915839860,5316231536,5378607871,1776124088,3674165416,3500261760,605479400,6741477183,201536016,1375099062,1410502814,5445616482,3522331070,2803487232,3911465336,2675775752,6492576015,460099033,3316795236,3645109782,5985182745,309245540,1197997990,1874367774,406787491,7545763864,2813346290,6144020325,1401734176,5809652807,1501272918,980855848,307952638,913129296,1830332492,908340912,4071936705,467407468,1217492896,1948834306,2027390004,794059089,5922780102,3769955568,8878750317,6915837810,2344776280,2214390879,3378466824,91885424,507894910,1142349195,723775820,579361606,1126572408,3297876042,5459332500,1839736282,5816044792,394909770,3122756468,248286652,2602481517,1205683364,4788694788,1404957200,2559391812,811662468,5220237632,2652821415,1341895077,3346160952,1436717312,3040657536,6043809786,1982412614,1479733448,2326673951,120242636,871092996,3129273672,5012581232,2755981136,2851257624,253551620,3428733416,636308444,4221567040,2836032512,1370075539,6056743973,1303547693,1975541667,538495330,2916529836,4087931229,1974961698,3688765140,1471829810,3765421800,239884398,1852907622,322010342,1372832864,2476078556,1658282230,6908237072,141752256,3186623755,4000246290,1363393045,365639506,205592410,7133283882,906941089,41791092,5773602231,335240517,520246572,3868834092,501622528,2188326780,1802415386,180406440,2110618216,5817431808,623610266,456858412,5837322948,3929253360,2952857688,7464076749,869993564,2149388815,1527582414,3114940604,3590646921,2681095590,5821945566,7596051048,5300960496,971772278,1775519698,1110763872,1508469910,4666346475,2192857984,403129764,1442447732,5477491152,1449886506,6876506077,719407578,5895464574,2290115604,387972858,6150865648,1949884928,1179007180,680788808,4081667891,5211238096,2217067731,389572043,1398012489,187837592,51011208,919853208,614263443,3063356370,1497897558,668247344,3100795700,2092025148,1810268526,494237120,247080136,5640221080,7215511736,1942457424,4644780712,7735317669,1287699030,4642673295,7024418064,4413615140,2941140618,1124093848,7553012670,2313374544,2398612896,4627233720,2122990146,11259557,241527328,2108300244,5140244916,3920305165,5569391322,290141665,907057890,1514110570,201298104,3196642680,854579577,3340162912,4042448080,145001175,3152631500,6140207574,4818485886,4246222536,420216852,160874870,2177057736,1052812728,2818573808,4629552790,942304784,5874381088,153281025,2245181384,520880370,1349096777,1458087320,4621884651,201335808,3230665115,868205520,1862690424,378017707,3571416876,1591175340,2133384424,3764641550,2484958254,73014658,532436534,7728477813,1949343465,2187999212,1271387016,1612364660,1507721904,2572479738,2422984568,3889973745,2410394988,5381747622,2798425172,1223991028,2497913180,2690825800,461759157,3296769650,1696969730,4519638522,7509591,2574695710,4706560190,7481938528,428087025,1940481965,1260553000,137729844,1969767891,4294304262,758436876,1741850082,5280423498,724839800,3769237863,2333139560,369714403,1770805876,1031570290,1502612352,680458506,128468886,437328414,1969287180,1500455488,413167737,5270512832,4614608327,254018226,4867785144,589396994,1632348856,1939824550,1847653040,6351116526,354036186,6676460800,6593618547,47265258,3159475368,6414548769,3161271547,7131724008,2380484856,1048754628,1183656560,347370345,340927195,1326825495,548827058,745707290,1049070720,5758345080,7751690712,6140927502,8758046115,4945392845,1978521552,814873886,1022840487,775910372,2795854164,293496164,1272128204,1090077504,5278893376,903412760,5785112838,5732099748,3766673862,4397033249,1918883502,210287892,4518094266,1783752630,3004009128,1928784225,835835264,1883875948,7386013341,8907661953,3349103296,3925730436,1230851736,1628359479,2364936522,5058867123,658954140,2847683784,601540612,532845645,353212557,2902038964,252840747,213335166,833270296,879128465,83614760,6954010902,736423604,808140412,843622185,416718981,3340115737,5786667400,2014314267,1402242334,2611262352,1670492334,26100575,1627797462,8612595639,3931888572,398427569,1611202922,1876951984,104123626,3996129992,1271964404,1333667770,8477729379,8009930637,1959528424,2402987536,5764730552,320155324,4591351597,2432073084,2980782825,516672189,2386461996,2130788891,1513148640,1171330100,53599104,87074950,2564329380,4232761542,6841700880,275116981,3865595288,1370645922,5254065648,2875026938,5659183936,476931472,3410159132,5189851926,114557275,2539849158,2415141520,107124216,716821908,1053808792,1707786420,835525199,2050570611,543003150,1483685770,3000607200,3676965568,652192032,821656050,2720807432,4002727632,703769025,2389688352,1672278358,981026998,3043908272,967993383,557258054,918798322,6697475082,4861682424,2037232440,7872740478,1292960528,797437836,1686130458,173325590,468542019,6535843503,3668150728,499229724,2184837708,688326578,1395275596,3343719512,18620582,1813294392,1508632980,5812024038,3618130040,1414409480,3382055310,1750798302,3595871986,5876218355,4846665054,2886068886,651584280,4809540820,1859562405,2903592060,4558692135,4352615721,4310554969,3915283820,1019051505,30844876,4860682416,6974641800,40829844,683481138,3221038152,1177710231,3623653359,5735233264,4686202398,4915731440,6912063972,512011452,6694470176,109363228,210689761,61533275,1522357476,176126892,2535696360,701531477,4861316026,255582963,989532384,56317917,2513447305,101320813,5781484104,3868869820,6961263694,53059784,2047318962,89221768,1143100984,2441726736,1469578664,5926631088,1634086040,794244266,254092482,2786924496,2995588305,4995511675,2806002066,190701160,1334710480,1044745428,766950192,1124983060,4786363632,2713404651,779763414,342216441,2461180812,1630017885,5007531046,4373197717,1912403643,1713225926,2286264615,1636571720,1807395184,4510156405,3507985085,3416227848,3271602755,1796311784,112905992,888566221,4804978555,6022942345,1716538659,1807615245,5054932092,1899806848,4089045215,1139247500,826400833,5055559119,6229929013,140197314,365619054,376580024,4086057738,850237478,4733029375,553411733,171565054,2223686888,543913518,3335085860,7936519344,516056296,2723442966,1993512620,3381136848,2192659154,1451945193,3089541820,7198581136,1705841544,6270590106,3866781040,2868738334,3661657004,5272764288,5420013090,614771689,1586354980,2719945030,1621193440,3943871000,1471822275,5684680057,754503682,2756599620,7654059632,1784021610,8642347155,1433518330,3348633064,1439126850,771590004,3888981318,435583546,5966779686,7822955097,1137803250,3088301032,1539988011,2621923800,899916298,4788236358,1332873996,993421142,309857720,661151156,7775084272,1256796368,2589330105,5159828248,236082186,2386069260,2020096128,1096137290,250443126,8247964995,343433706,1409205576,10895445,960335953,700719500,798047370,1315322070,9165645,3585421116,1153152189,3050302044,902951816,7870706334,788227341,44211414,1017275630,1727162958,1388310525,4951211196,5785696000,6577353800,423627053,2698181769,825451520,1457005662,5670005154,5614159952,1429029850,4222401776,4727437038,3491928040,1116426015,1457164312,4235741248,1295768552,4496220414,49596507,994484591,37627723,3313941408,219012615,2255361165,1451899724,8614706985,147570552,1381014195,2565072324,1307774142,753210546,496578315,778416984,3558867004,4397922774,8729703027,750938515,2287209430,2472926640,96495726,2590394550,1054558052,2802953216,6035034592,3294335224,5085892854,3169563788,3187437112,7872104889,4308761502,4518197480,763750012,3742073688,3458162586,2774877266,370320962,173521172,440017956,549967274,5189667840,1724591325,3389479560,1713322331,1659793597,1737131679,6042114608,2934254841,3296911572,1329424800,4141209738,749253884,40384976,3578581638,4432207548,18577215,1500947721,2890209627,1039230828,419467050,117669532,3350671635,8836822890,2948372820,934190264,65341142,2049031320,2382968316,298130990,8612023788,328210047,791012228,822750035,2170158036,3359513151,256786075,4941792845,4591953576,259563590,4466270960,2138653482,3598472696,146234378,4658022285,4053123872,3215829204,1607788698,1817151792,7983262048,1594697840,332623594,3622437042,174387114,601000538,3021573102,201210450,907566457,971022957,3911940925,3371009840,1632883300,1340914496,619392830,431183162,3349409098,4355724664,1854181092,1740814740,2960510332,337946893,696395694,2863494720,235400305,82378854,611863084,281557611,1099194816,5094713736,1200621834,348184200,4134447486,3910630941,2860718990,287067706,870169953,4722893485,7304038104,1439398574,3593327556,2615995995,358599248,1576677520,507845778,1257637020,1292206600,373078474,5627471983,5184259101,5912064900,3212413696,991942693,2690439264,583748784,2120469120,3695891913,4439797596,3908836904,3189351155,1993629232,972887262,4005936221,1250181635,588060654,5381582384,4329259440,271844286,2196689128,2040983394,3777581549,65563100,8421416055,1122069944,880887268,310893121,5940054440,250843920,1834227168,3369794193,107474255,3323989968,1292516259,1442417898,1760645180,48155998,4945721110,4795913570,1094415280,3790781919,163980544,558332444,2275985367,5229570577,7468122249,3383705585,496447622,873249298,4116191784,1532745470,206311593,971139566,848006850,680240244,7603225024,2837292408,976599385,391328943,2931269964,1162009540,6338601784,1728819734,1086865860,1848465540,546738522,2975291178,355934908,4000674123,4991470695,5999699340,4439079520,769444312,5357185764,1450652036,540514053,3776211775,1501899962,88065865,981445192,1702381320,649846050,2139313524,314701572,5036157666,5937341456,2037751203,644765028,575133660,944175872,1002685201,4629836682,6252732885,93090732,5529291418,222534088,3203882700,708315682,725875650,4801717596,1577300040,197765387,6842338958,2453046363,2268296170,4788450774,1897231860,4663578858,6396888799,695463429,5272884883,1110972148,349875,1440753050,506362196,1907175564,2150118110,2622780282,3800532421,418361240,4140888995,1910460988,8663220594,2787822396,2162342672,2471864073,6303993864,485569009,5172850768,4116594846,1179909135,267829751,5340493584,1991556308,2712885624,895077016,4524931670,2329288998,458913392,7917922672,5443150800,450334884,2693817888,3593537775,2295446871,252226794,925271587,335946104,610713981,4375975000,1715056188,2650544394,1598982723,1968828676,1410081760,918972025,1544053772,842858818,764040312,3038175225,3410815188,990412724,6219164295,4596888656,6843868592,834811564,1476727745,3337736544,6030337229,3159767718,6302768388,4972074177,2215690022,266019993,2024427006,2696603798,808807628,726657810,2620098432,1186350600,4329959970,5869610055,1127889480,3479335893,1167146458,150426629,1735996956,3059184450,1604073492,1224121968,1311214992,1717070220,717053984,2527587120,6230902258,1883142843,985430480,2766558192,2614644498,1373477364,2594010656,2160792800,1203432432,854456190,2552154534,7352923824,1845926515,2128259622,2281574860,1994002376,1112653788,3824151725,91115768,786266500,1813117554,2113145160,538261446,647125485,1735122270,582967925,5850704744,4277106234,222774574,1965271476,1735695983,1968803104,2129609344,278721874,1921371105,1569477210,2307093420,3976187076,661739490,1031901104,100500948,367707188,1263294542,54860138,865370060,28307338,2907711928,4113653286,1208231192,1917777076,165119535,122285299,3417691772,7602530424,373403176,878299666,1362329460,1515769702,1411535901,1186079600,2414688696,3077656560,4148984406,1646089308,6370272117,360536978,5290835578,2982906495,8213106294,163278969,758960298,1249601772,1749553904,5036047704,401582606,759572950,2452136292,2625003258,5371847418,168634926,2259076104,2055238569,6276762336,3072877416,2960288730,251191917,4482758215,1243112478,2494570839,1280842629,3694305936,132314442,1994436228,1920843351,1203578451,7021668357,756284824,1344727470,2668394430,5298907712,3492616239,300058003,341789088,1529446865,3575722464,908340840,1275015096,6188634137,1641719436,3087691288,1969501745,235362021,235673820,2604324170,669704904,6457089450,1170351698,1261529250,628476758,1319561052,578236447,423337486,240402068,947653324,1421479119,1404614745,19275978,326902778,714667923,366227439,3501383976,3248108166,364528225,341330247,6777654093,7299345042,3050755344,8851231800,5367806832,7157410623,2283003996,4725750344,114756140,4877733573,688141872,907154382,327325052,118233286,4586783971,942770621,2728974882,387708024,894735954,1522721520,883550901,1232599290,34254493,583467098,7215237828,1282815055,1665046486,4163961347,1528856175,907998708,2549576770,5034453750,4846070034,1922810970,3727234665,21076846,6431368640,2259971810,3529063188,3914347850,2237281971,1984485912,6550584560,1241599870,2059303176,293410278,612187556,432613930,901287378,1930564338,2962850865,636767496,155761942,3969265494,302275095,2109277134,3038662490,6773311992,5278533939,839677888,2303884197,838158075,4483836880,320894344,1948781664,142709257,985490025,4145463096,1296112368,1623515640,8085630753,4960506300,3253244253,689590710,3442455288,90334120,789381446,2711776704,971857282,1538014282,7111867842,6338787201,8696251926,395494682,665350686,1383707832,2740359498,364014478,325499108,2536115652,849308368,589550694,5502223314,2334374564,755968840,7977540114,2754471184,4806507960,392591044,2870215075,1240866510,4728060799,816672884,5011221278,5010600789,2850146103,163376654,825533338,757104813,1895664480,7016915568,8350826967,7498392224,2890682364,143225710,253318113,7417392507,1364906418,4269315486,1641473244,6061364608,5834204595,1265066728,4416359590,694328646,591693336,4028170168,5587581768,5916198722,591583340,2949039702,355505364,2248716096,3036190990,7435605159,1560186058,5565529024,757269008,7674744368,257864262,1435316802,993209420,5698127763,1945965680,2521965840,444355069,1451304120,5041673368,706690152,906947541,1071229644,643850645,1505548152,3954555512,5326295849,3757500092,339436392,1270834736,1638624807,964122415,796993670,2710876602,871050934,184593875,689517260,3152293200,1915423168,55487134,565428382,2130064925,1160465350,2218135416,1852372824,4714521800,2015853500,1888198488,859683064,112460346,1806788596,65892624,2102729346,2857711025,1060205096,496811160,586775003,604759210,2644379710,112320648,4346460688,6950274114,455749860,1954711251,4767329376,660676884,1318306362,2951321015,2236335504,881661882,2706809160,4593537336,280002128,5896491066,828688765,1609565272,73227810,8845132329,2797560063,2871537636,3553319248,4953652659,157864085,1773902674,216371440,3944391272,1158899186,6418575032,1001587584,79841436,844798173,6641443291,723142356,4160694112,1290123744,5561860241,758637090,512283295,2124315770,331591100,1068547472,309421183,2407575944,1211513513,360095416,3516389992,731790750,1709837936,4229103540,1892400192,4009139010,7686777312,358592780,771905204,6501553392,1265317856,2638497740,801714186,2859947110,1621969832,2332071565,2244666027,733557864,7232780763,626159320,2590490169,4304699680,6398815696,637419347,3833743870,249673153,1780919919,7126602120,998768078,1584329814,404457132,5376154280,529210383,811548374,1154003742,4560701800,1367036736,3340040688,3155617024,1480891816,487729618,4488984810,3571355184,247302484,2323589742,903856393,5581446731,1776911325,222787912,2655167192,7737840040,280057018,4021379000,930292195,6460599258,6456796032,4614324088,61414553,3891411264,1588844140,5280998298,538188276,393860416,1797717618,2483903845,122352922,328062836,3769295488,2922173779,4603692185,249869372,884031826,3120449652,3364416198,4557883224,1527783660,775259380,5125939590,316542974,4371216210,4659314500,538108940,899620162,5147089506,790590954,2223998736,7743486064,1467732051,966347082,1166085405,610453928,5223698406,5572641534,443132187,7108122699,2883454730,4044019301,3505905435,2241425478,387881241,1707108944,5682189792,723141139,4032318962,773052696,1538990198,157146147,484887288,1493861955,5681579673,1028051124,4739049024,1749886740,4492838896,7579431072,3227606936,1801913552,2743439576,5576727879,2461591820,2632876854,2297706615,1290968918,2108344818,4977698270,2475493840,6635214684,4928988036,5353031604,1329473612,5446073136,3024943312,433935888,4988592553,4719085788,174068212,714504572,5497504964,3842158480,1813155260,5991085944,5813414166,3321317588,3301772160,1746540780,3375576552,2528910510,1765995012,6981744176,1841345751,1816086136,2181514176,540161590,1490283365,366443030,2767873857,7680194640,2832022110,2441038412,321179680,690798380,7185561560,4659250002,187805525,6742568455,2302124388,3419794284,2648007396,2336706819,2226067152,922035424,500058174,8667077445,277034412,1076599314,1543787320,61559669,5272414572,2783007000,257604828,7682383098,1948818403,601198352,3219783720,323401616,197387320,1899757550,1268664228,5506911256,747653430,645167514,4906542435,326323634,697379505,864939522,2332258095,1679477320,4471365780,905167650,4349051935,5262921060,332369941,4704415299,7919674824,4594032625,398749269,6932634248,3974785140,167238929,3347894605,1276876124,4694178591,544806736,172628534,2456299000,1117368996,3562656472,3963267938,3882780956,7926935868,1336036452,2864003261,3629036996,2779734748,2217877182,312984108,3390947436,1192072952,2906288294,2297977788,864271063,2030375090,180016528,355021838,1045901835,9110915,586316233,711225860,3134738448,2715570396,2148183736,4633325935,1982222762,1173753333,24183250,8879146236,311550996,1610492970,7848621423,491161532,604906440,624737921,201556281,4085193969,2981083532,1561188532,959061880,4474104075,2036166222,31318660,1279549448,4712368055,726077931,4469512092,172078137,2185181700,1679655480,1168615674,4872044241,2883630628,6879312839,3135215160,2651515569,4609055400,3077533048,2367559012,1954899426,3662674375,4129292881,668374752,903615906,7530390,3151255177,1177330348,638268843,300780032,855236370,3927191148,66192464,2184804378,4409449210,4608745790,2965652224,3061266764,3617297397,2211074235,1769915758,5907857984,2675169644,6070702656,125124455,536843505,1680170828,90998679,4583409741,6049610176,871294985,6207655699,2627162056,5383312456,710966609,150778580,309653950,1279518950,2318193669,991611447,3398319827,5727650994,5593010157,158236038,742112463,3120118892,4632940992,1483917232,629357244,1980719566,1022012394,1573380772,450273342,2430179460,5424524844,3333342490,6949748259,350846638,3212555995,7654957472,659209912,3252826370,2744183395,1606845252,26638962,228755335,2804840572,958802524,7953052599,1954483896,582987690,1634068350,1801291636,1112092305,3109684496,2232440615,5073744474,790310575,1567903812,4143468679,4800229875,6632290868,2256996459,376058024,3700721460,1119354507,4794750720,3519768000,2469555535,4219827880,2706205972,3743107430,3419643208,3058039870,6249005231,6781949896,4562132970,2042778952,377040324,954021740,4778341614,6921020016,2652478493,2103225690,224321040,2084949624,2752188243,613647085,740216232,2627194507,6392042082,3704540285,79371805,3698823416,5380920636,692300075,344555975,368970482,3931724181,4656804880,3104006768,4243019856,4270449738,606856770,1221844288,2953096638,664582686,2444120814,3356714448,807853846,1366826446,7531812168,2605288542,2917774359,2783718224,3147384740,392402317,1677388512,7073402265,2892095688,908267138,3774580035,5755886538,377089536,3529978236,1454520790,1592080146,755674227,79199503,1948682748,252462999,5640026070,3172219560,379251837,1416021984,1336129644,73509044,1681426356,1926773490,2470832163,630397981,812475540,80199104,4905169752,7358132200,2835391356,3645923229,1638844988,125950356,3718813864,743627508,6568660521,6233421425,963137988,933296014,1848817112,4067382618,4964918124,4935869730,972472716,971382185,880964367,7571148368,882161276,3695974416,2037799600,1983316634,11861742,1147236918,2961265208,5312889738,2680117368,5853799084,5978777210,1065554144,3472648056,2963722842,3988911740,506577789,4807916140,741713405,4057254467,2994503212,848885428,2043526557,491799570,3186326808,3851906304,1030695744,1415700258,3271213650,714831421,3650907066,1895168144,6477704631,2631371616,1768623507,1249912328,736567474,806356614,3675391788,6452437743,5086358694,1602051387,3770815496,469567339,3656832376,8161778574,788051073,2476907180,3791156685,3245479608,1528466312,396622396,166699528,2069754840,1496865801,471648006,866342690,1921610469,6651749394,2937072392,1223801086,2303921943,1948876002,6118073878,3015578772,183255730,439918106,7225623423,5470601712,1042503287,5718116637,2843993640,6220672773,2722420839,6477712470,5639113288,2655387510,4863544448,1924721384,2384528499,1434931845,1635678008,1184118789,184892940,311429272,95104084,5686599264,1240535758,5759213604,434676446,1356354090,475179819,6876621306,769694614,731637356,1769958750,1061817732,3913549176,1199657612,6642598508,254843534,2904735675,4664593528,2106192540,2442238640,75224105,1487067800,1629496578,6219515862,980879980,1724598424,1956962796,7201773608,2414240615,419474247,8970945147,817646535,1527478730,2329239260,2737015392,776091802,277939662,810373000,5615549792,211460685,6823230816,2580946947,2918532516,845105425,445345565,949436622,1930220201,1822966100,1365814660,3542354910,3196386366,4998726804,222500412,719007420,3796780460,632671362,6333594156,360666346,1121124580,2472827562,7260429744,1709679432,4993356067,1925365570,7674204789,4154461494,3134335948,464717903,1764983695,6691311675,2997215418,8010684333,1869008352,4899815456,2781283452,6825549408,2789190858,854622522,1665881796,133048866,3357196650,427686489,2418184026,4800972386,2335082585,821830584,970972128,7365528136,2393328872,2975266420,281557410,3407155794,965991993,2181730983,66093527,549692682,7419747416,3417040704,658950742,7548008608,6685338312,4516776261,3875764928,164233680,5203589888,510539034,4259442865,8657231634,812758042,185443396,28587597,553731449,2034794961,3354215355,3048132712,1066561749,2576497914,997265314,1681148408,1467590943,3381193854,1690818480,1908185352,877061472,1864378296,745222734,1039314626,1329183546,698190533,257965430,3292466130,8875939347,303013376,417806520,711668538,991513282,182181904,11425960,825573306,3003245705,3483497835,678946376,4925121061,7832066562,200622051,2586507846,3799613952,1034315520,2820623176,2671657464,1771837642,645591202,2920726662,1737302528,2849488500,3621376308,1959247332,2187167695,734467429,4988939040,4534990035,6239938936,1069273915,1645741736,240425148,1574324205,412335440,5155813104,2156394222,543488253,640089540,1908819582,1407316731,158918646,7572036735,627902648,1417502625,2409899320,1238780796,1224509012,1882640826,599787468,4122059106,2291651496,3567667070,6773728185,4514592775,4973659155,934014030,3479251496,2243410560,5038276812,4652082408,1868444946,516148900,451328238,3184922608,1013098149,781735861,5781269319,1605479508,849411562,1589155632,136762820,2015454520,727142302,1055674525,3059106560,6400712160,5484780018,964452668,1539543636,6778553238,4061408029,1748944500,1477983275,1436001693,4654978248,882345406,2852117325,602466655,610941185,1232907624,3379444075,2464125728,1197776440,6868210518,1117909720,1610069840,386636463,2826265689,5804018752,8776901124,5070760371,3224147724,2390889272,2486746684,2896971820,1608291186,433267272,3496993758,6273881502,111710853,2832153330,5381781210,4552294060,3065293656,4706882348,4749604176,267573608,3299411096,2442296946,1317107980,2284734222,4044731480,1690427889,2171871155,1938274520,7700645457,842481020,8967248217,663694072,3599032864,5761103796,805500536,4277352355,4388405515,452038547,8377543197,1177069401,2199136760,226983608,3842289076,117726174,1114176060,7810105120,2495386692,567801939,1637801760,867181653,833015124,5945361597,4889074631,5855992884,1975407232,282788253,4009055264,910099422,433802127,2856927888,3660094739,3238767080,3991784336,1237480641,1644674608,2416198730,12482682,1543061112,4133382675,4839585636,6040224197,2854538709,380642040,313659325,820568078,4585040720,2920720260,725776682,2445651615,1314738972,2079694134,1723183920,2751957365,2144059368,1897844562,3222421281,338317420,4257241470,288679284,896454879,1166474553,2684970448,1069243336,921607032,3670021916,8893153665,8149671567,3603265374,5620352850,7665767190,999016326,1597847586,6857434423,23061210,6479040784,708639732,881486991,4773464848,3104517850,1128112770,6847506190,7978244264,4297984672,1715565057,7051340064,1640350116,845536882,78998942,38212294,1982012730,1054978948,148342076,1481111460,7447160656,3921609044,112780976,2714740992,2147682024,249464811,294064255,1690542240,5182504957,3828120416,480032476,6106663080,636934140,1102037546,7927494102,288321149,4044845088,1853725216,1046116582,4711163248,341328267,405800008,2131233410,5679428364,2493488394,2762246291,1211219448,1242415048,2352464760,341626820,6449679159,926977616,6325057197,387804100,3388080656,2828462748,1925733123,583410494,786929690,934057396,1823880003,3799246228,684199782,2979545802,273888630,461108619,3859587496,734685423,3593423160,681637933,429117225,1486127844,2585548760,1411087344,1588327875,930145872,132194598,861497357,922517646,2363817885,6912712728,2082262819,3449237481,648824223,5908393393,7612981984,3551317150,2824838930,3233046648,1640514614,5932125456,5667336656,7274038768,53960202,3322728848,3599441715,1492305215,6637482999,965998800,4453995128,2837393910,187380777,800879566,569353236,985036034,648008640,790598276,574885126,8557206012,2068592408,1407454342,8028002385,742026895,1748767937,2088734235,1698792544,5359269304,5979949920,1478540478,451603920,743959592,720103895,2475061428,3990484344,294097058,2790254395,660976210,520050994,263249694,2535307497,174010424,4986109002,6410828178,1350014670,2015701875,6206807259,4841652392,131741574,303018332,4425265686,1701979092,115384401,115221516,2486007008,1787992,5582745294,356914026,3065046205,583998327,6972338716,4041762385,3289932104,7093050453,3166668848,6654564077,7675631766,4030212045,6517771701,41100916,107755772,2021737026,522505598,3824268700,1014893130,640238049,780300924,2139182064,3386502539,3863194690,262797078,2473624419,4572015093,1647616107,2045707350,680939267,3946626333,990982418,2566691260,8429974515,4739378130,6189534666,501886938,1210661124,1870349074,1138555940,7043482206,6863788359,7704132640,2147279239,1890652630,276470210,4616346170,3301240720,4699816696,1527586772,2679063988,1218865370,8417447775,227018700,5197414434,693014192,1587742596,5204005677,639389178,8469109773,3843529176,431150850,1856224676,980024024,446891215,301932525,3080231416,4919220198,4767796820,7632075352,2274059480,2010190392,585705236,2365467957,125800590,532409888,2431899261,1312952888,1779799730,4667595793,487703958,605821437,779299204,6469759480,816176423,1755183644,790430859,4492138440,228530798,241603590,1266815132,5339856627,1068586911,1990436024,5859864647,1494437604,4107215185,2613884544,2619384820,332889884,3845888190,4361432664,1620548991,2749100805,6427224426,2401036888,156064070,4333331954,4196223930,800509590,92517104,4859319096,4059150828,1931894546,2612360950,1307903502,501481536,1510438118,581087964,3774789905,3136400994,335160518,4063785225,6189370432,5284401368,830290847,5809903602,770573676,3101555965,4638865698,656913760,1014404146,78113311,1373918988,18644766,387355800,252116024,2415567680,280936168,259711613,2776647381,2981379951,63151621,1397987456,3658179696,1756844250,2538528129,2701768725,73776152,1177721952,1415945136,3684336892,821696433,2664671076,440090351,2998093815,294945235,1912804352,3990850920,2569114576,786526974,2921745213,781378976,3385532286,2107318536,3681958476,904250233,149589468,569190308,3781633782,2331912565,2092483960,160069384,2128587417,4029651822,3158669644,1734810480,772739016,1995045026,780982719,298863576,1274465776,2738395467,3515141112,1543185057,8635808889,1758651928,1214774648,4723235280,18566160,3103861228,622869656,2280038094,47561246,2148883300,1319787096,178078063,1744874445,3235574778,1231423840,8217113868,5252013584,1981753179,1833322252,3703357791,2724718032,1542620043,633502664,2589331983,2981853588,2815439368,4137689844,2352395322,1205834968,1344794133,3869944028,3963916803,3158476528,2892698103,2321223492,4802630644,2284553872,2728712712,2407081437,3245453024,237953873,1321747227,3419433460,109250853,4447062224,3646503014,4035870387,1353433014,408461384,3044808558,2586499825,3361148730,2950690896,583655470,1353401396,8491836105,171533510,1021231967,482115060,199205169,631472276,5980787099,722636958,1092685698,2913148460,77220220,1183701120,2257531101,3909072250,1976838080,4897329516,4552820132,3407107296,5022594440,3696624954,237757594,1856354930,7838117408,1531126902,635918262,5207590542,738779965,1681998084,1733753640,1613159193,1214044732,1089088464,4976172250,2320197006,713139360,1428531720,3561296925,2038850238,6253196778,80789525,3856417988,7196766112,2117940760,1234468736,8210289753,5876255840,2727819537,1974247734,1518038735,966732888,1481968668,1889821071,809218701,5301235982,922116521,1197974622,1023511296,6001679682,1015125964,809850884,2320961696,3203581832,2710401498,1840892724,1413783549,2974759228,1667972658,5780028030,2428134978,2818288676,708839260,653988018,1561079804,6899943681,8963370594,5010978774,82147416,1074911414,589085122,1241871352,1243414776,66940588,997322488,948946408,4239728856,5173129416,1708277697,6888715392,3575360322,3202909456,1716387381,337468600,4282183235,3621028555,500970923,7006774653,3025585910,608663320,50001512,629973929,1998832774,707061449,3139336564,788079771,779083711,1826059002,205498225,3070594140,940031833,1292530224,7798832127,6102740294,6135978609,456331176,411817923,1489368804,5330507992,3186225,900960450,975096018,3616597868,849293932,4782733466,631407549,336898500,228394426,1556539668,1795631244,2857279644,1502624070,6886040184,4180153980,126085895,2523300057,891284490,251568564,2118372560,1257856942,6924114504,3334175808,3449724330,5734062426,31940514,2223058209,921902436,791875504,4817953635,6034497980,603803648,152061198,392490359,3640170680,92310052,2770371810,2050481468,547407388,357637180,2406361188,420519900,314179918,89365207,7907428512,36693151,2550613194,5398613796,410988458,5730568725,4529138345,973136661,965782482,3145177680,671529851,1505925520,2053478468,380333775,3050086775,5263963530,563506764,1285034376,612153326,4092048712,1575904584,921003375,8532682992,2389971872,177197904,2531160327,269939978,1136846956,1793070740,1040134060,3561597342,731806781,115335996,1597684032,938636758,94960460,144068340,2322840135,1557269985,2803129254,339147718,265002546,638887382,675432294,2692324866,581946157,446288922,5717942584,3948191424,1035740948,1258463628,1562466651,167492826,4607678928,2461771988,4145746074,55435023,4913461400,120046374,2931613552,2747147778,743494488,2029059240,730432629,1490276632,886489976,1867357616,3943343544,3284830920,430342712,1012132776,31515404,1170186864,466136341,916720462,618695685,2805070986,5027107509,1518648775,475555654,5832737472,249642296,4145055770,969474488,209764914,776818312,1895149585,2060196327,2545875944,5415623120,2174740376,5743178778,2267716212,635150613,614341268,3744239324,7945136100,2907705024,5539369284,288912988,5429698456,1906935394,388482604,2253898146,136812336,867175695,2062499912,660608226,3758800044,2777896681,7421141763,1568319246,705251943,2580364923,5866174098,1863836740,6281243885,1759633176,6198148125,358721156,477330464,3026232170,3114353664,1602852906,2276245932,29188404,3033205756,2830929831,1159641516,665017172,4632475140,1254527148,1619993487,6214740805,539830412,1525013544,865717293,3064697532,2334490542,3932787616,3719643036,1630290258,609978054,1136666097,2467435484,587633012,309844411,101800832,6230928389,1246915164,1055313471,1763998209,59905410,2787264270,2973004068,192312301,726099441,2970914412,3513552098,2869324972,1674354825,22984360,4223232426,286686792,5290698464,4724660888,1385907836,1655293767,7823477610,3995920019,417589047,3345771352,1849629152,596930,1251728356,7230821643,356692160,7918633320,3182471652,977683282,738450256,4149401440,3572429868,1866519304,3219791112,1898405092,6671430992,546061380,856408764,976783936,5881459458,2932821512,1096121490,5999426154,3640981652,8728250787,983164356,83110937,1509257888,681571280,944341750,1860568932,1399896309,676889040,620630336,968783686,1621169361,977850368,3834531930,1599374710,2676625392,1213767156,1006105836,4905263155,4200209892,7490075229,5238966376,2009338092,955666188,7936697844,1451954325,1788044686,1092988020,2021395250,154699634,5147746338,986085278,5323609362,3556481650,639754597,6952084979,5072325936,614345564,7680893904,2432360150,1480928350,3391732624,3243476336,2908646850,3713132088,4436697440,6529339744,4419259104,4942539371,109503660,2064402208,254673938,3354915195,877564833,979245447,647201308,1225983600,1948263304,5245550737,735954636,2730409311,538644520,2451328824,1330409216,97328446,1884637846,3681173226,1940675030,89429691,573672384,2721633234,532089378,2868750794,3150342936,536986438,42059898,3651460883,4533964975,1439705562,249436902,502798981,190269850,1571332343,6104588322,885518809,3891138150,1066039012,2430777000,986589692,1327982130,550660896,2236908726,3368770698,1730296986,3716807244,3740848517,3283888128,4503064248,8778569787,3970477465,3415284047,883006960,154825040,1671785301,1665134968,2983799112,355819395,2652636606,152382128,319066520,653584981,346076370,6704387694,4323998232,276728278,86095760,640115093,8017858611,1901661,716918038,1839124784,342587043,2187939678,87896470,2598083001,5411477058,4803553475,3487433976,2362308660,610533495,3682373088,77938216,2177985258,2567987100,2362422249,6704775760,3816525391,669203100,3696815620,65855457,2951598450,428245042,1773609888,5111908947,8621338329,899984658,8999798643,963532260,2067862401,12026848,2625795445,1239101548,75837216,1893488945,2654991024,233467005,2275344507,628104429,5936127102,828105515,379045650,2720575068,3565944450,4456414195,2238034464,326438182,442772247,2206842032,507036453,1645601190,484692624,1088228696,2144146200,620870466,1388425245,4960070700,3732274557,6437543280,333786570,4800888688,548420766,1927474200,2645525976,1364057716,3406353224,2414618532,1145230851,4176624126,5534695072,3475027176,938314837,2284250608,488481476,573184443,2905016436,725938257,4822021176,177504412,1673149136,2125065635,507650346,3346344477,754503378,1023583680,3979466430,1203022908,1219096320,1323865812,3333316460,2044678672,115346898,5819081616,2245683752,2033034888,4765060192,650559667,217950003,5961991740,160999289,1101429828,6041286615,852857883,358240246,1228734269,6752485348,6392413062,1367974044,735665362,4242300104,4465171980,5234615785,3598409772,3905561485,2093054760,6374831351,3675052620,1669396311,3184241417,566089573,4824681,75524890,1341230637,295234216,7894286736,1685549286,2584959930,1264858724,699639795,276862455,5637605538,5904330642,1887900078,971293668,198439212,4545481560,515453960,7846637648,2801567826,194045181,344651550,3380323532,4546582430,5291673024,423788940,7989664743,610615908,1080872300,733488801,2732191887,107820424,642371170,7832671200,5462950050,299059455,5155768534,122155445,680323124,451249912,6107299709,3993938584,6796380681,271494671,149363425,5238896304,6523061783,1089760650,2981977552,2035574975,275835360,1201126950,2817956400,500224217,5657699676,5098500981,1686524220,1069806910,1647647484,4757815971,950597820,414456704,1023057864,450620625,1118442850,1364074659,350036249,80196513,2888665848,965490860,1907434368,7299240432,362836674,150833036,983468165,5167750518,615787472,2017199583,890888652,3617403797,2228628948,1243783338,4528747520,4413951540,2637166905,1839253838,1914429627,1348395080,8164219581,2545796512,1391791737,692179627,3080054176,1823096400,6122029109,5937793785,3750197283,1645380656,853441593,710510698,834607407,7695631968,3816520416,3247719559,1514602332,3112524604,1588748252,676388098,2640838305,8792048061,264597926,6418041848,120678705,528309090,757132439,1433347587,1886605328,3066155592,6726924099,875788846,2714023284,2568988696,2899807704,890788656,3336096775,3232333881,3618644820,375835645,5593073276,7502147832,315381042,8914589703,1863398988,562584798,2080010604,2298284742,836744718,3398102932,137673140,2942345616,544817935,3660027846,5932429515,7123435896,4039762020,1687799382,1520850054,2345475561,3162071270,748488675,4621507506,369894210,5758919912,2518762299,608693886,2857835736,645648860,2082325556,739389714,450923025,115237808,2991165310,2312037282,1971334020,8015967828,3280571456,2981964858,1032840726,2362670601,125570560,1254153600,428974367,366545411,316064194,2905898598,30172851,2631153035,5663252178,4334869998,442843224,6570415194,561947770,2715469480,635282292,2830336116,5676372054,205496724,4701910648,3867976825,479529652,922454706,65643856,3252816228,3387751392,4247333902,1982056216,831083430,5964980058,3109191507,7503763032,6938684793,91705772,3592773024,4183807880,1133970470,3642297156,4290552679,2092040752,4899173632,7246137771,324620014,385672885,6017754071,339883173,820960938,1033107996,1955747930,3689439312,5760811539,562668240,2802690360,3868055884,2055935490,2693925488,1804064781,3919495896,1753208316,359627724,2563439275,3724681224,3045434749,6352981974,474650654,4670144210,6575070950,4478945600,3157728973,2729633319,3275404735,1111909728,205986152,54410262,214708678,758541897,238421466,2306665490,4183362960,652370148,367244179,378007156,4361596938,1794429324,624694448,3574004682,1189503287,1471912119,524813372,2639997501,1212216182,569244896,1269051300,389087652,888942039,1688103326,246923535,3464652368,7512711084,1622338980,2910176385,299232108,1160571806,204073476,214075125,1758192646,596033216,73801334,2361227188,787363236,834053733,719683612,1467432914,1867564988,2521249824,3978841024,377400261,129245408,5222719575,6190435674,909672196,85585730,3289191093,6239382688,5460014539,688831431,3127974664,211455428,1483180400,382496676,6606293922,229160835,2540530188,3961312896,3609116165,6687146889,825571498,3229114140,7624271008,2521545316,56797940,2575825182,1553560472,919867176,1593780328,5320142176,183492906,695671614,432195528,554208092,734256477,4683314502,3250751231,4903450088,6153140792,7185049875,822059514,1827129880,38014410,2182684905,2517443550,2776621407,2844690636,900233280,6517020114,6693689849,1237983138,8756292042,1777741941,2040584752,1012700160,3297517056,4301335854,2585605615,2846891817,4262067198,6016011624,3503323758,671745822,7549403224,906916857,6772871430,5771619828,1869714612,2090672836,1363350474,30624867,1457917480,2388574670,5410137928,395514089,2884064916,399706958,6824655054,144608445,4906621962,1218566608,274630382,1908496089,2730168792,857101098,4225932981,788768361,2573411748,107252019,4406331474,96675272,2374011832,5326039944,1785430360,4547281824,1691247272,4956530145,4573463944,3561966751,63936450,2208519505,3947865824,1456219812,4968480384,4432836751,1434133425,639702246,1665870720,648959972,2322451255,767893194,7521491920,1506983906,1017109080,3654301960,104469471,117230020,763968066,1198541320,1451512404,1433369005,6267749157,380126942,1064617632,441025966,2924551020,6291161976,908768246,491628602,498891638,616944994,1211216380,568612562,1834857780,1887825088,2517518672,767871882,4409666874,2031184800,5735761332,5951346930,4525351585,392248923,4496163462,1192751062,1700247123,853598395,4802697870,3783758080,1928357810,3525844300,2160091014,2783354322,596692206,1416686544,8290494315,2377605573,631846380,53448848,1718864028,1619253212,3469450088,1226968080,210874868,2377455900,2962274432,2484926562,6146245600,548512200,2067814974,2548487061,956400972,523259128,5247526263,1382203018,7860676725,8759290266,596349186,441179520,4930952970,29924941,717962496,4848440157,4199807504,2825885212,159942321,149862220,139260090,4421046756,1877210456,3430007755,98820978,568877028,850417844,6783314752,2534902452,8457654978,4763212045,974636283,1486251976,1712512167,257771696,1488040562,4165681536,1548495354,728853575,7570147488,2971100000,443025678,663062210,1784365972,7127326616,3140970687,691930710,5393032463,1042272300,407400565,5510729850,302760008,4053675784,4182804600,1234022472,1007571204,7760287824,4395603996,845907280,5534924580,3325887018,476075796,1453534050,160049744,4218529761,434015998,3293866638,1334233482,983235448,371354580,7606251405,1267767192,2690127279,2979634928,2902815147,3354160675,5856564681,3811253523,1965179440,760543202,6531849569,2720737443,269624566,1436902224,8113351167,1509498328,424692900,3154212260,605254968,3165272236,5111925507,2718297694,291160287,939365276,8259964326,1420832568,918957234,493587722,4316134802,2094807840,141561072,1734272874,2297758689,600626513,2230014351,1050128464,2059108668,1460804660,1610803449,2233793672,1212842268,270868496,2535552768,286786542,617488497,992495976,4486764501,4799065320,4612597068,65662557,666593893,3497053014,2172040505,847609561,1016270040,412083198,1109143462,3504502240,425584504,1362206661,3697400466,1625636920,5616977514,570713788,88871628,2775882395,1129384921,2069178192,18792381,6311224592,627520776,4862121000,3806220879,1512006189,331311912,6789101751,908240574,834913844,2423614173,784974009,2289887958,2803472010,4792870836,1005786488,1590648688,32021966,284109788,8354566629,2433079243,450460996,7831576836,1412937876,1248545748,2367257627,250453528,402992664,344528548,4551340680,1605308744,543779790,356965390,4288251930,5089400322,7619493648,942921645,584964729,2310498804,5803640898,4136544575,1157382195,307066080,4634960337,2307929912,649894392,2079490752,5939741340,1497406546,3103755138,1431988890,4914584916,3046363713,7582765392,341978538,4258640955,4251134064,916516934,1019845989,836305884,5636933631,4956022233,1248535554,5962315404,5659515,3224500489,2682874692,3573158725,998513688,2727388680,717438956,5254936672,3348543680,6395194568,2855142234,5133142704,1887233924,166552723,1959911844,1498988160,1423713204,2168103894,4090002005,5660299698,459301884,4366903920,3515227345,395652266,2951713604,1192722396,6416378990,605335056,83246379,1086304968,4818078349,68389080,8935010784,2781598530,506939862,1173231016,1872716558,4841044416,3022652160,336571704,1373907988,2738638131,776057590,268232166,952034414,3912357645,69875115,3830985345,934935483,424348974,117209380,614374140,259917015,2194176462,4735802918,3051604400,6645020096,3653628097,2419828940,1854224940,3920971120,2803033374,3596095080,3997829394,1259633546,359876033,1791444292,3638704260,161767912,1444267284,2215568760,4179178818,4619943560,2272116366,943670421,1562520472,671941603,68450032,1949948937,1193961866,1790434254,5105028887,1070866678,6711234082,586407544,2020695588,3749193888,4925613540,7642966024,963465912,550256272,4383460242,1105945180,592129050,7051126239,1516968178,3120964284,3828414156,2336331705,621254605,6644783136,46305966,290280422,1334089032,989799082,72856078,6200795187,2958695649,4045600080,4945676388,2969425605,1084451100,2818908081,3098181132,92827230,856309668,3478917456,832970972,4616341878,3046408592,1757043560,5443170744,857722536,2975622153,4205125405,336582942,870134844,124582745,919039316,1118323798,2492836266,1152633486,1731134324,3350909340,5227154298,404245611,1527709188,551640525,4918379144,729120261,2113256799,5799085978,4028817875,916206804,4397239050,217954851,875371086,210556772,6141256303,902492404,2539165314,4193507853,2103133548,349587156,2999562351,1270298275,2863548247,920561297,789123888,1753635890,1768768795,1730231404,761068224,3912620180,3445748672,675996248,279504208,2433913398,4915168713,5541070278,68231213,1042767360,781088776,2010357396,4943271144,3683493336,2203450784,1057399456,4299457568,3533226075,2213071815,1240138542,5327292648,3519247040,983560806,7957929704,1955335884,3517366208,5919438870,3823294706,801682548,2468693290,768046800,284140096,499659216,1296555636,2000709861,5236113440,1433099110,7866207552,6299176648,61822280,3521655464,2536472772,793471248,2567583207,154881461,3005486472,2261410572,2394798279,771093930,2741375616,678608712,2532654285,2952510862,2647041228,5861972262,6024686751,2134859350,2957808480,7865218944,2301103200,2740323328,4952567320,6024045760,1975300446,4305092967,3701389172,521772747,948435100,958602911,250601719,1077021860,6011211240,873440355,3987060424,5894536696,688017363,5895793539,2913909180,2490013025,901453159,748812519,312394540,2270539096,782572770,1597456768,5579943237,916505997,976557699,5833398781,3004738260,2386205244,2852222148,1736028405,931174864,1640822313,2005427802,71792607,5070378368,5234939850,85125300,926906720,2982000522,4984751410,4090637735,4072542608,6931099216,7874998512,1531096616,1173961586,3762546255,1795268260,5945843370,4770660415,620830098,338267960,866932088,475782255,2147974704,1203766570,653454235,4204671915,1980390377,59415935,1120825734,2405643224,1919619126,1947166752,112370882,5094556128,1837243126,336752564,1949217198,3218308592,462871818,1734432084,550748669,2509389716,428390257,1884648156,128051192,2591480952,2647985454,533879117,4514683008,52602966,1137093288,2899014520,1115141796,63980028,3079119861,398379756,6971291424,1355577342,68736152,2193500250,3783081860,2838165582,941470963,17194209,559346148,1759783761,3040945390,4491404964,1950190576,2338778240,320542159,2352233760,8656001847,2275316236,3836928717,539962554,3010305978,8470571949,1714524016,5798051028,488666929,3672744312,2620295340,1274727078,736741093,3711892910,3529487304,93097286,1958000102,5026398582,2900136448,1140206605,3726678924,1505051392,3375553224,516434427,73946914,699491947,30446838,3483795230,564972831,419171544,814322354,908584047,1768010172,416219022,5868663012,788584391,8358037983,2039403660,446272792,4061921430,616744372,2360489168,1812606246,1507651335,382082492,1201731240,995218808,2776828072,2877605907,1909988223,2056086444,597885433,6772858127,869244644,2431993401,619423168,220511592,7674149256,894791373,4168432704,2175493726,1682407470,4177501374,114254709,905870340,981052172,5736040758,695816848,2721732304,1206748705,4800775392,3497312292,4149715135,84938134,4209622445,623388864,2102260182,677836407,5170906328,5555835678,339314148,3528816840,906210188,6600821570,5123358992,3340980570,753872301,225541102,3722486916,2788316352,4197479055,5819122524,2710503352,570519852,2915936752,1458426836,8491439844,3086990505,2909807552,2841378000,5335331827,267488518,882373694,7086741003,1253817704,2764211868,4820898609,4784809473,307576064,3939569995,3143803518,947085162,4707136536,3636671913,211210380,890017793,2285530730,6004851720,682855509,955172832,269001914,1529051332,139130420,5683799898,927175656,104899752,3054460520,26935326,819084460,2857881684,4353241400,6900668440,32605812,3511073556,289064272,1413489665,903651872,1883905934,3715193076,2530288614,6041231329,1794281547,4103223640,1900043355,2933684565,3097288971,2956665756,465084414,4665222030,4445821515,2452224660,6458075344,4846440568,2834413560,7340147676,129525085,688998647,879556005,1045075256,1545704940,3076002375,4020170742,395016831,2538000122,7288962183,300968845,2205011575,1658016598,94208694,7718204043,3241045100,1182933717,2818419057,3850467332,1355321190,970622556,2852773095,2283964216,702041504,120356764,685281536,5059059672,175386540,1541821392,748335654,2840981760,7045264161,1401703452,2557255496,237847733,4729815774,2451946140,3559911684,1598324202,3823951617,3742928160,4504452358,523035387,3041290148,3739211890,1471630738,653645470,1224072510,685756435,880535016,687388638,5733041229,990186444,6343022798,94918018,1728958496,878281014,797448305,75506988,2544547116,49034607,816341472,124526426,2095812438,2845832004,1408857786,4701009315,5633272448,6432610455,2860713848,2819539965,8800126722,5272685910,1481651942,1939473633,1663330312,1777540458,4827662944,5932780952,1059215940,1900745566,3072522054,6052451405,254662424,2891849760,1573687110,1598465975,1094537630,151955193,14487198,665438554,2569847058,2646548765,6526399075,5111971501,886431761,265609018,5913193952,2056369374,1096007349,5530651644,715068652,1091800542,1844496304,5854446920,2302554499,5830700512,1577276298,2352440631,987560419,2499429681,5360928456,355917678,770198145,887944612,2311668468,8038470069,4842165402,3505214783,6253985689,6126342640,368021880,3049533130,1676878872,3174970581,5822935479,1798263784,463715812,4936113165,1042900023,3400824168,640034474,4541499920,8970682293,3615560127,503649356,1596416444,1085362870,479764480,5816236494,337641734,1167477364,1204195392,3598061391,3037644072,469025694,316506024,2390176492,2977621710,250011210,838407610,2307534609,2985777000,5059771050,2960967069,568223828,3475007710,1359551431,4257401268,1830667446,8804102418,4246533180,3591189994,216748505,1557188043,343572345,7360950519,469675310,1984534235,101108424,1832444544,979923416,4715406909,2128445442,301878971,5160166319,386433744,2469952864,4048869978,2849350740,260932365,4757069061,2881944592,5530214032,2426033742,5719289607,2284524135,1777536272,5580987846,861602832,1129874598,388454355,5774482950,1301474142,4497165576,2920660338,3188916444,1824501540,1376378610,370949376,768209802,1753042020,3336238944,816647430,821919212,2282385696,1921340250,855209728,3444261175,4692280232,4390407290,1350105426,875051866,5732318322,938338968,7049062737,3321646128,4766394785,3190890983,1468253985,6023691192,8587702971,2109118340,642793473,2039165094,3563127282,2244556496,216580502,369253868,2734880844,1509568492,2396330643,1466368514,7643826045,2751268296,1202841660,4363677009,2797507524,5596050474,123565210,969155168,3646991124,2190135178,4170901494,2106425682,374384908,837180878,1524302575,84840239,194955827,127143532,832123775,841655283,75583470,2385789065,1422175920,2337914142,1977358800,823431308,7773585728,1890732398,877721064,4882856490,1685949412,729494982,4535529948,2676589064,529615584,830987916,1423161852,1971736500,4560499413,3517890950,4711737265,2056487648,393796246,1047240036,544429290,2604411270,17828968,986509600,2000704140,4107839688,1791253638,701123132,952917048,5182228728,1445418702,902233872,5716269712,259472186,2694391710,238034188,895937296,3310156269,984601800,3065551175,7298144344,349814960,4361516420,5456797044,4106114541,2731493744,8416852371,5976575408,1378354671,3098747708,3225807543,3418524472,455498068,4307451488,4336064430,6106788728,7969839948,3694051144,8863841205,6066316634,2043547684,336271143,2298670752,3663185988,500012145,388926531,904626968,1163307830,1061283808,7569158598,8746982190,317970039,4412702025,2631707550,780861092,238302480,1901611194,1189441648,561998390,3123225064,2850061383,1321051742,1192703097,4989189015,864667825,463421370,7644136992,6308716923,367195091,455686038,6209810901,2817344824,788983370,1033216912,669308732,5556508272,2029708458,1815415696,7284321684,981261168,2311437808,970489569,1403503074,442448091,1729681137,2549656192,3141241924,3935152296,2672547101,5145398968,471610929,3487606650,497979735,5168022882,5899873798,3971338935,2955367926,412835844,3561506068,7406071686,563811591,7316240944,1847617425,892270644,87139101,387586465,2185520514,5479574922,5168619099,2361739167,855744258,3993502490,1232485224,1201452144,11313707,1255650792,433750678,6087730464,947045736,3685672696,6644256543,715659417,628131796,2629327041,780931683,907795072,2424543359,1149208316,396635150,558635351,4381464294,5407626912,1794695710,1867776388,3600756852,2698078648,7642152612,1454908240,661247022,1202183046,5887849656,3331833631,2571543260,4153239477,589478889,540782476,418926791,833369238,2561048118,3075663490,5102501544,3919823904,488336367,4782106254,3180179706,5392932291,164968402,2429688270,357911984,7583558928,1518522068,4317607335,1231413954,852288617,4520664743,1566573455,1684797141,2407062324,5032468953,288712808,1498830300,491125860,5219354424,4234944230,1820998552,379806988,7794542064,688587476,523345642,2721067272,1664795109,4245640140,2804477271,5862379992,1352887538,2987691768,887301828,290076957,4254241185,2339612500,2499821928,5780295096,2986005873,264867582,2696231503,2003864995,2444490144,4398280068,183458434,1837671920,671568755,1807679503,5216260041,1430957394,1888495008,272886897,3688746782,2369510580,1494901415,870253133,5601037428,1002179490,7763440760,1145472648,2074636216,2143820349,5580682236,1397752082,342928394,1103369096,757472688,1905370536,2978492904,652960888,545003896,789016722,964920920,5748905330,1397866824,1161499804,7383585474,3770050382,1135229452,642325225,504717072,1598550736,4742889616,2124036768,1026523076,5362760196,3887262138,2343753480,3201856235,1600269525,1740412436,1434834806,761227638,776624464,2877986335,3642844902,4819556220,2441633544,638148196,3577142760,112282482,2862683128,2745190632,2008202664,788815320,5765073552,4990465824,1205658540,2423091891,2393529939,4854150343,3395728300,1447387578,723135560,3313087260,2988549648,1736517160,2769022634,2128732928,4912876596,1017668222,2906733264,726925808,4142191840,1856797623,2989386672,2275013140,712855688,2619098664,3895273458,1480270784,3141956736,1008705747,1520500470,529630328,1374514425,404258008,1703292945,1211640276,1110504915,916071755,1943730328,384266430,1604594206,1006868696,450639428,2745674064,7691036072,1312914675,301696472,1057278171,2002946460,3835605592,4611393680,5551836867,581402328,2438024688,3144214164,654686600,1272250476,3517922888,2743571080,4334740215,4280793635,185479808,1841878944,42467114,4828044537,7558516899,2966448360,3430962297,18008960,1796530186,3576335490,3628836114,962262460,5342692920,2432598588,3939942204,5150158792,960118902,646080684,4790242045,727009976,169265290,723948992,5896384560,606128143,4966656438,592020216,1816577166,2096522435,1708849941,2883767725,886716468,1290154472,692903560,1862484212,6977243268,5133641808,2240130807,2206044862,1908136308,6712423344,4191085150,5798180043,906299598,1945752138,3970605884,885929592,2668061320,932129792,1471276326,3056388320,3989194650,1673354065,253220174,2926262896,920583200,3346900512,629211081,1049097540,3449083584,1545698328,1552712973,995095496,450591166,2981764675,3739530348,343161030,1966764715,72633600,5465410800,851887095,6125089590,370112928,329631996,6607591656,1787676422,1481713290,6125475744,603661145,726868100,1115079292,3969453196,541297695,6695891820,2995795772,526652458,2214303564,2224320996,2200883097,2727397920,1983927760,5363984152,5513867670,908218198,620907724,848809644,5032753236,3120276084,607986738,2429248773,112430988,1934635056,3904135465,54754728,1987384134,1963031064,1300024200,1287950984,3688305252,1007326260,2756487670,1198219700,5055851094,3327016224,2702296095,772314712,3796476908,1641824555,1338988730,1110829827,4992605100,176269205,910019600,357858625,1094564856,1013614137,132591232,990593988,5195537955,3050274276,601657614,294682398,30799762,906666333,3986220504,1175620590,1682830416,1398465135,6859805512,166189128,2626207100,1872380808,321370526,823226450,6160291461,391500569,1825217664,5119006563,599871888,5851917488,4279958640,3427826592,2226600894,1164392500,961823450,707652444,6825865232,3855855942,3521550316,1784403540,2842681050,2943631624,3010917366,1126198689,1465291876,6770780093,5436418832,156617464,1035346708,6544207920,346155699,321076484,356820300,3378280952,2605088727,6937770987,1108676298,636183108,512625669,5104068750,1847325991,2319113664,3526348388,8003522340,1329220218,514764188,498180470,20563427,2105906706,4538475504,643541536,5629547115,6710096000,566762526,6498147464,3205441463,1822622340,3948524432,1371895419,223540125,276433088,4179632796,2085570492,6299522118,234406866,4633688525,85777254,495254952,3926654752,71156116,2985905556,1903961800,4911996996,1677338525,412487570,173586657,2334670364,764385908,556919727,738896661,3140609760,2032650882,5820077851,1229241358,153272464,1565447232,1970549265,901623684,5131315386,7011183879,279085020,2782983744,769474404,4846660016,3632080176,459891180,1268416695,1232260944,979904104,7768396485,947463042,3286968958,2848677645,927691749,885762016,4395027069,1064491878,4772497887,2398384296,608345058,2242926565,4016814228,2047854872,558877659,189674340,620024478,4095228672,3482792880,2279444064,1156136811,5952286669,1337550828,1761219243,2320677066,1080554925,3536195705,3303440952,5191912296,1148392104,631791628,1709357571,981252636,6514649456,194650418,2085751014,7808697837,1532321337,8407007838,4666809784,4338861944,1016223964,66537683,7748140869,1343056112,3251211019,524869780,3174381546,992298200,1699928448,993895413,2551681040,4776702720,2533798395,5117519708,490493184,2933077542,3740122032,8081025732,689454189,7350072016,3783159088,376647568,7211525229,759216182,2438930976,2168057716,2537714445,1816789200,129083395,919573569,4809237144,637811012,7698688056,3218090170,5449088264,4072714746,652591035,1444802464,1947051580,2443019199,694235398,982573725,1699224147,893134052,263370704,3398673884,3450272560,4243606578,110730825,991365374,1659151277,8470489572,423359774,3957581484,1545071814,1817433804,2312702360,1412148393,3770105066,677242626,1937574632,4876466448,1720601000,2839412653,3148329660,473975560,635354661,1014786479,3467358706,1601727362,2545264408,1106576529,1064176250,5937127847,463614432,1350372884,970087758,1733373286,5691368744,1523192576,3694525216,2130029274,1523177120,2223725128,167438702,6146906759,3778397992,4236786869,2879860172,278704377,849130340,3956902257,5241136617,6834403161,2190901428,1436279076,48907490,4651630985,4303394998,3374303288,4817519679,4632807954,2259818535,2715403852,4368414184,2233614744,3584083805,17886625,648976632,3468111564,2456020614,5701626189,2490991880,5995022244,3670816056,2891866212,1064715152,6113330064,2639598465,86020320,1847221802,2163884568,1985574114,1068194576,1604368656,2705357756,591390072,6824882760,163649322,1085355472,2580977133,1516334560,396976597,188555142,3046045168,2605681736,1214779656,3607032192,3814724123,2784611300,1974676986,2012450055,1156262300,458377690,5218085601,2035529870,2699651836,262223990,3190837752,2842051221,121135878,4657604550,6640483671,1144551226,856522323,1860596044,2541758148,1330098754,2032533078,2162225634,4359294640,628987515,505718631,7377466320,2721081888,4222195644,796778909,3946790372,4282576557,1883027824,708455900,1314779980,490329580,129210640,894286095,2085425865,4289696406,1619512092,237308678,603002776,2608318788,68305209,4017256075,4675093745,566336044,2003724585,611269270,1047726136,2414018880,471949509,3843159817,3445951888,688842668,190841398,2104026836,2294268789,2563845728,3163188658,593980389,2060990632,1431462128,555162168,4889641029,1232738040,6475669317,2018454224,8280072081,430397207,2679734772,5452040888,2376586296,2965707225,3459023127,3084652788,795976408,1214370924,3880030045,5240430690,888315533,1624534938,495527964,2257879182,620574471,4464845272,4614558095,5657834064,23183874,78009969,846205314,438256771,231103165,2357507780,517749964,1772131368,4999909812,820137138,2824439898,7392197504,5633874680,2738907600,141368020,1527170742,427441436,4739618088,5690839098,3807727315,2894058423,6562450170,3087162000,4090486456,148916586,5171875920,3404597768,6237492786,2041434241,2086119426,949130316,365983704,4311718398,1081942494,1593617690,405285356,1754463128,214883880,3138782735,1534929165,3444913890,2788983112,5421096324,929358885,627110576,2842163496,684436400,1850098194,364127370,2850587600,28291369,358555242,2688371864,2870664894,1252523898,6030863388,1486917912,136508525,6722529111,798998660,609959543,1331164632,29115910,2184974952,3563469552,286699425,725435266,43246096,8004678282,7321169600,5571982392,6861703167,893575724,986151702,2304832544,1739112444,6644677102,1303467340,1253388728,1906645482,1823661956,35826841,3795462172,2971935042,1197473802,268032478,900957954,1049470188,8930478384,40176068,1782164240,1005451212,2376231048,6348045221,1691132945,1217238880,4873206807,6836364099,693528680,334493832,2843806344,1278088420,1673654388,1500760184,466279435,1619248690,3707519512,989584594,1880713356,1498035693,4418362755,4111167704,183828386,7310582586,326399450,2715840792,1274456326,1799767260,725440577,1479622284,214142400,1541201766,3512427652,1596151554,1276164954,3088933008,1569875760,1326806492,413232180,2250805140,125826388,1209657003,262643095,3080999944,2159408944,3595734916,2713406502,3646255176,1794979556,192025676,45509448,4200925666,7912765464,6661312248,2782445472,2376196352,3832678176,1975274034,6650810721,594902280,16960692,486302832,555886132,828988065,77970269,1386902610,4106862930,1369385414,336953645,3368814138,1553626772,4136380305,621604712,1744752816,1917302380,1470770961,5006399146,2028575007,5300861104,6436111725,2467292944,1371054932,2385727992,1248258684,3601634000,1595180928,1601522055,2620310518,6711450867,4202373819,5045743944,4235257348,6238466973,3194196980,2416358360,1528457694,913788911,69819680,4238050047,1123006008,1710578590,2045856012,1325992960,2800689072,1736508120,2404721432,331589098,5948337762,4621880020,1463213667,5157652656,766728483,2710904905,752229328,5989590720,2019534762,4718825710,5416015977,577138242,8732219328,2895846630,610167995,910187075,5482714392,123957382,1510257970,2854277566,1530578490,2507778112,3875815720,2009680140,8535764988,2458604973,2230889754,4051082063,232495250,3944744397,4521372624,1578011000,4661700210,2247138204,891975114,3079593344,1361924424,1569844704,2692377848,247978835,3258399584,28254440,41834676,3637728174,3797332700,814507818,6977094985,3015763758,2090950840,839674332,2085500925,190115766,1058848112,29298240,1328219865,474437920,275241701,704261617,403652570,762139518,112276440,2606670066,1351826646,8075457144,1858948034,2933377728,220234633,8405597592,1245149144,161950866,210276314,1119249390,493377635,125622960,2014266965,3472324135,1800576756,3466699555,2977594005,364329875,4635714260,6684685227,139914744,7891465518,5232766500,2030563476,1898132990,438731303,2472447340,3489795582,418584570,1469785611,859929656,1677325172,6341515530,654168270,132295884,2936631240,3569125685,1436811928,2055014967,5901520226,6956779536,534540775,299453582,2241311790,1923917562,199572696,558224379,743202015,4720913964,5052406302,8648953479,5441459706,483451098,1242136105,1967146625,3834708456,1813779405,620404964,1628291088,1868420495,1311817131,1482792330,555821064,291192028,6343328920,4671507810,8223467274,3971611848,3430124812,666552396,1614857196,1973733310,5708968,739574288,3037502575,6350332192,1105447520,263296700,239709002,243624068,253376967,6122027259,659827957,226967005,1426406148,118196926,522500328,3980157888,381612169,5003119038,1932939024,2358991076,696885624,4357637778,2648556828,204262918,1719230940,1692107920,406109940,2991919404,263745480,1729489542,110279727,137013822,4371990035,82580027,2262091000,1659547396,6969808248,50156360,2991743590,1947425714,958162014,971416962,3877962375,991021167,1276119654,1817718044,2485163885,2124611580,2111633140,5125961532,3797220656,3506340440,1729940268,4574408922,696050578,1263835434,297342628,2349242487,3821684760,2654178267,403811104,677826883,1692257643,1856768700,1372968968,2981937536,1316319676,663458136,5827431546,1384351071,512172232,2003848005,2331924385,3237686016,2639610552,68332196,5158642284,1846184928,467057104,5864793151,4028760090,3147393812,6467753205,943013427,495512700,206694397,1694405146,716373426,818557836,452177309,3130903136,1704624656,33290655,3557453335,417888735,1760577325,2944222131,1606057824,2616343563,48257625,1374652284,522668300,1309298400,2366254280,636404980,7812813184,3237526335,1612262892,336169944,798391090,4117877973,3000192816,2086997968,1710866604,917939988,1036037793,1286791443,208472810,859183740,982587036,1009051972,32796452,1093911928,496858420,87721958,1992379716,3236188576,7857942008,154534509,1328914308,101604636,1355991846,1326437740,1888676470,577292460,3858889880,2913504975,1374014972,1531611528,111131019,4599745227,6006215286,678395082,3797513900,7089986412,419902224,3412946898,336628334,4618684343,776825457,4787441952,8353201878,4667835627,6025161872,2079435087,163610650,2087690310,2336849529,533443122,2820874252,3116942181,4427097954,5991076264,1344070045,4263468153,3679839534,3546766224,5370185430,2636377416,171601970,1620741852,770755428,6120969440,2741104352,396388788,3351213204,2740166372,3213257788,1342728410,2461181754,557544248,6783596001,4188526902,1619651859,1383690049,4197078258,310341612,1422937224,3716186240,2742164865,477507294,2651831290,1479436410,6423586304,5642943985,363887256,6820980026,1808057973,311265374,212134073,2149256850,2361473345,2949764082,5413568481,6614118513,575397450,507503362,1625666535,311277740,268399080,3491266782,810661680,4024768128,2511530868,4568753255,1287857466,295734996,2492644770,4913821444,15925328,7749550584,2138913747,2946615867,2929915809,697482516,558681656,614579544,4361719870,3743720825,1598705940,6835470166,2453713569,6560368640,2469323108,7971878898,1681945405,4437562504,2835853916,1990125688,2539500378,6750523520,170691255,1716012144,2248555935,4160414139,796101968,1946074405,177898240,4502923614,269718336,1232342655,4385781216,6546260120,3721645548,3115339088,6846170032,2777615085,5969162562,1788436054,2517043698,2693577068,5351783255,2674182951,1925888052,3315223360,46927384,809974360,682375588,2705031280,7237726576,2470633175,5573358600,691870635,973338508,1879944424,325184601,3537110016,324152706,3188811700,3733519032,3119396728,1794575535,2868287406,1536895788,1673684726,2536557867,8492191920,247833621,8797297131,2927490792,4853766974,774921309,716872756,2438641792,2589836406,786077745,3307753539,2988744440,3063327465,297922347,329199038,2178260640,2785153374,47330313,5955489864,724044918,1338314470,1442231424,1163566152,1535931830,470100494,860852846,5004419798,721841268,1032846968,441019012,1193164760,1472497068,1110079116,859615194,4833033570,2287165443,6211574664,1567963251,4471756098,4029584094,1598630200,497725400,279960521,5968798632,8087198742,1907249323,2977443552,2412478455,419895790,608290158,93978472,3664558100,244749165,21183722,4539678475,2975690013,306301100,6284976719,1422925839,2225745333,3025357056,7384752783,1064657461,1426954158,1153173990,625555677,1106539689,542724522,4278005050,3975980004,1194096096,6469605552,323089746,531664900,7796635119,1053309228,4766789712,2537389176,5723933112,2975479936,702027876,3558165824,2475812124,2720358032,1285494446,2184217072,2445992358,695149647,839681400,6458958440,2488285893,1838367750,5621381536,681404478,671594855,689666820,450019672,347135649,808001365,5756284806,2284302740,1954240557,4557915250,1339684735,297962333,368825058,1452738917,954612118,753956256,1591593782,3517501765,3762432830,3955894641,329836216,869463692,603885335,2029759728,1585127274,2411362701,96996424,318806247,365876582,716862834,2902634700,766881528,3062631888,2565646251,1895664800,3222607660,3605287572,12357450,1826722782,623469072,3095959440,6578909183,748361049,784596936,3816271344,916363020,1583947058,672816364,1046037072,984539613,79808247,1225875906,97620109,3396643024,534286444,1934845648,6242630240,1540966428,6052490376,4391598715,2536909032,772044400,4094679800,912643492,1856837568,2334389712,485034435,736321892,1123716416,1955082862,6205070152,4493605698,10120304,2983421948,765949998,8398524429,2807962500,8998792434,6577088623,398590035,245265625,1123496298,799947567,1227195840,6427052888,25792662,776763457,676449008,5581650150,1044451200,997225115,3534101352,8205766866,8630512875,4315719359,2043802104,173997750,210668041,334713024,1064473632,1804462452,6574282600,2767384200,2543948355,2449297650,5472050409,3242286860,4595650776,651813958,31246000,7640174538,301280521,236954897,2344256999,776805940,6516342364,1513356056,5890247271,1985672988,3011411400,3718250716,2575383900,2994387192,596215128,423492588,143655831,3574392680,1907503461,673547218,5826789752,3066907415,1611368682,2267840972,2181264072,5934349351,1925412645,1432164819,4981977984,755288827,1491598728,6286490595,5193356360,4907303408,3445788714,4453785348,4329185525,3382348332,587611555,768636378,1221063915,2278107600,6193172547,1647037700,4861699930,1080089760,4950259242,71642774,6237461928,3527616716,6163834768,442867101,6708674556,686059350,1814509574,1597650912,2485783500,3739522913,1049663730,258066192,2544925804,1359337792,6651237510,2803571850,5762746262,2733412570,2318021485,4813612146,243804357,7431137144,6691251564,738653652,728573541,2863426155,584192882,564742168,1545516324,620249739,1796900025,1861426322,6954577440,3428663396,1292948322,1916070237,4639018419,595361346,786787800,3967223964,820147731,61439775,693655705,5855951871,992880790,335953698,950795772,1859711856,5538764286,630951365,306100290,1236386480,2815191540,2293856368,3579120300,4765909866,3752198184,385761802,340198670,175171404,1484123540,3975494142,1543599408,1658283646,2497249456,3096714750,4869906645,860798345,4504094688,737102196,715989141,537244375,3303517616,1507451924,23366614,12418512,4442806902,2158755249,8732442717,3661602413,2867483070,3315924360,1543566267,6313057317,2848605864,1689220015,3493550270,183119424,3543595090,2050257645,556444960,6686328942,504762975,799373174,338412256,4422861128,3332994364,7361018632,920147686,339096782,2067063810,1246874432,3374512520,5684355966,1328471753,1224664450,6701629504,5539834335,7987325920,5084191512,443141559,1727571699,4705842029,5501942026,1882647774,6957499024,2070357224,5405367114,2019376872,2774025045,5853018064,24140182,1785829612,763893944,304455030,1709646486,1537214640,820922735,3290779656,74966170,7429755344,2464022040,100153292,775628482,8413338789,677259653,1370606884,4541946176,791833506,7781640192,877085525,5777438994,851083214,193865342,1196066858,5402256041,66746900,2207904840,3769714475,1911873240,5876269336,3594316480,1169766352,340940768,2155380027,2186716779,691330920,5920977780,670478283,1880263080,284546669,1831266819,5694301018,1088630774,500197043,2715210808,1941373038,214924712,2630452844,577360964,1266649688,363859413,5608732934,3773366744,405557858,1702180296,476319893,4576788378,237433845,1758984970,5819934213,7157575344,2994384501,760184775,607058573,4190612886,1670691652,487875650,95411181,381359625,1162945290,5755785156,165818024,114691545,2852736252,5140788884,1884975876,523893329,724810759,3517001784,1266671192,4012385425,789614540,1546678959,4302339305,436191236,1426139020,3222540480,1751551065,20470317,6144942272,1625117560,1705508565,714117360,577573405,3983135560,588130282,1545287688,4061999772,7890403392,5225846744,271304910,1275470022,1289377554,3876595980,3509924848,984332091,118107345,5661627336,1090508200,1943798535,7174207216,2881247432,2410147347,3109372542,628954431,99767608,71207684,518536587,2596074901,15849591,5825000748,3722069547,4068410997,2288049252,53111644,6365562376,1064697860,4413580332,4531411570,560784525,1201142580,6783323216,2118912450,5029491232,1572716854,1112927184,1730561259,2138067636,728474350,4045180855,7649622306,3673879420,2156139000,1293171110,519633090,3114028953,633635785,2689944318,3861759856,1994450812,3247332540,4547845980,2391471657,755606284,307357144,743273496,7755199479,5758246260,6602910867,1860363686,1788987022,882794958,34474595,175963384,3811051536,5052909057,2284757580,3269660478,959579898,130284186,2347355106,1871934117,1463907465,2585344137,737061660,842229242,586618218,3913116858,723818704,6261374742,3413521780,2837951345,4177689376,449672469,3312053360,5901631272,29863670,20272516,212620107,679148226,842254153,4880981680,3977490696,5654248686,4126691530,501193830,2743102290,1633797242,1054936449,6850347165,536688648,5297688216,2727651369,112172367,779518467,1172456307,5825940012,2454594184,2548927992,198217292,958485860,4555282221,1647708420,117925155,1362725604,295540405,2931045558,2859736563,7709457968,8625348441,1794026605,5667932880,419669472,5931278808,4488224368,2171925720,3503814624,31557715,450486383,2965002387,698472740,3709436814,712530345,3791222127,3939973152,2350575865,618299595,1363270158,8338556160,1969756064,3522684998,4897208035,4424345702,947187091,977470108,7813717866,6539313214,1550168895,5880584409,2506435896,6454094626,2512581270,6159579825,4463982690,160469866,3244555971,1426654502,722647020,4004236369,3897943020,444741016,2041804512,275967098,949944084,1585082562,2180900945,3136677556,507442076,280103562,1983554358,1925583903,585409908,2615845950,1908949212,311174742,2793960630,2190446245,272622224,2726331644,6324849424,2218224312,1924993086,2931811746,1943396778,3838504152,4138744080,529687680,3586139255,993249485,4788594306,1908881658,1117332027,2272066884,843427829,4697238828,39124476,3303665352,1668984852,4358828508,12762366,3041476524,5724092376,1681087070,2270425128,2772806040,1498196750,2670112044,337979161,92006096,521108471,2356997528,4477777425,1720099629,4418406948,4036075205,3675205104,6980951808,823959451,3424497604,1144155664,3988749618,4096730750,4713084160,2831805600,7232828088,2798543616,1748540745,4959907981,249660394,2867824863,2241399230,458458920,418070824,7705166571,475160342,4690880256,2565516276,825566817,7958017272,3732639588,6559201943,4153101090,6278681829,2439949144,4034234705,1164193400,830519254,6839643552,362720233,1508692932,2759528373,491359410,4501252914,138145716,1315949880,724583209,702850008,214120768,915888620,1878989490,1189192536,804790764,1104007725,2216649344,1856346564,4577744130,1198335782,1782042220,2857321845,116623152,5043712347,403059546,278718624,1000111196,266741712,5759529966,4257283959,1625407146,2469831965,1256948370,1315994624,780664982,6378310696,4526073230,888308966,2438543156,4559712015,219561760,823506864,2685962692,1900966802,971321552,4219559029,1079487690,374410988,1823258290,2263506003,418434997,435245414,157389834,752398275,1678672784,204262877,4589919465,4112320674,647352468,7162227387,5832317057,1986981492,7993968816,172988332,4417793820,255375928,4708561940,1306148088,496207245,1593657705,325754050,169256334,4826793111,1666325276,657657377,647222930,1555568749,3360681904,7257848211,6633745706,5664397368,493107216,5800573544,2598001880,592398036,288131796,3097912392,2127300048,841407182,5851379472,1502689604,356282475,2760152444,3280161675,778818367,1358889165,5112307176,977018580,4025180640,3497583960,1510397808,3767699350,450216635,4456046364,1444303168,4000414180,8114534505,596631928,1043431806,319977018,2179002288,561783888,1133256068,1181590482,5936476742,4140980064,1937094762,1972167186,556675182,360049104,4899305845,3863154519,702054924,3091372680,253093920,4448089220,578600118,4745600595,288459948,1332007038,1910477228,693675048,6216752664,518011053,96150173,1931010584,3923403045,980483121,3036836600,4104687552,3573112492,1561848656,936987478,625579074,4718619594,1276143552,2200883010,3015531450,1080637446,230084630,1942465215,2355820964,2967327690,2005542644,3674222784,1652971844,2868403368,944922990,2451509046,898855256,19772990,2274472689,481833330,758075698,1006255530,832223150,2083571696,950015196,4166602936,1860336135,25215316,881672606,8001654633,1563456434,1495872828,5434034400,2862258549,1999730095,2913194092,2392793688,1455004566,186777310,2718272920,2161810160,515691936,60494877,505945322,4138624980,184205532,171856416,1303667268,8690220675,1134032238,2371550238,285143635,2965631914,8683959339,729200626,963052218,1398935028,94086142,6548779528,1846046706,2363742474,3822851514,870447351,4290352648,338701994,3336647312,1674865242,2837940021,2109454788,442127330,168902672,1537314775,4319272125,2083172888,3236325080,1525524558,1412704923,1281021651,1415551228,1950947725,1719826024,495301072,631028444,1302967455,5484436710,3844455102,7203208806,1171576718,759035792,3293612108,4801587984,2010999810,43963740,2970201192,1101778784,343858581,3025433840,818681554,267474728,3371611368,2925206785,1769737125,864014100,434653150,1550769585,4404407147,880937013,1422385376,735117072,5439788274,3884074432,1683241406,1633478066,3612248424,373309016,376609401,3960182112,130508164,712432700,1011746226,1679631294,657584394,2852835624,1575751947,4416858033,4415169654,5200510128,1858927653,1386924477,528473945,1488834828,1373761684,1581234144,1844934556,340655670,1055950628,4356773120,679623921,286214936,924652375,146141987,6354493008,1677341256,4671239648,189311706,3085899144,1568952915,6725920176,3682454076,100386392,5853532832,3553420576,1116391416,293852396,423237496,828849018,1464699466,4910644795,1371573511,720393879,5060782937,3122614095,227641374,7358264847,4256071488,4209617568,1668667887,1118351050,3737520300,1441986212,2671740564,867186668,1083992148,400293577,3719494825,2868047571,1238328480,7602430256,1489656032,73316883,3988893792,4707849045,933368970,2835187320,2879801196,5794376076,3031762806,2897560825,1077420681,2035138273,1981831329,3905004172,414309585,725089757,25075768,6323957991,733547134,6792751552,985231583,3812724405,3230234640,423296093,2874443880,291715284,1648071048,5348509064,8286696693,5243288526,3793552628,4738844205,2001021036,3191591244,848434819,680189677,2115286472,3166447075,6823195239,2727218652,2872046360,43055988,2631034392,1900517676,1904983488,7443887152,658345132,5622521658,1735006287,1094061580,1158421792,962742453,5967344364,5202272382,33185952,4658737825,744147843,1232960194,442659178,2095029384,1733149856,3467663792,5888524680,2588525845,1957244283,6451814495,8410544235,2518192110,167265880,2433207300,2382074340,6630543507,425689076,290878512,3196087500,4605669372,4180708728,425689370,2367011624,1529061821,3179441133,4147724014,1122695631,3441118936,1278664104,865207966,478937508,3875041508,4794950165,159968827,8096625468,4015044426,5411777766,3385071970,2275995505,3859707462,2489771418,6935323892,807897462,1224260208,190794363,6820406001,849173560,471565980,7419498273,2884469392,6162929374,669268455,647145717,5387079150,1554431283,1943914520,2690767962,2439197331,4463772616,65377048,135799614,334744916,2635761081,1563827866,923347162,3695676580,2138518971,518691281,568872184,1849238370,2476153872,7193812056,109188492,4807480980,2939471528,5246285139,4084025272,648273705,3089689422,227815856,1315687316,3686122655,479927448,2107305690,119134740,2903001777,2644125752,2077541613,7835953912,1434180120,3110555556,1032210552,3086490712,956532582,203593528,2771243828,1108190280,3844464407,902838082,53053016,627346355,882525399,3555766612,2656489581,3675799545,1545758916,83114988,929882127,6837125193,2422972008,101253637,1319697328,2118443277,1036562292,800070820,1340569790,1755918374,66842600,3382366185,66954252,5941557152,2885957675,929869761,6001960482,1092126680,1458761160,4203836280,8164317105,959256846,2660214431,6412887064,955014978,1244637950,697929415,1929268167,3961829763,229469580,2831275895,632426570,3293002405,2502437922,1684754682,7207964775,1302151362,2453727897,1010952472,6099080544,1212439401,1955284506,199610006,932440920,2986399416,2021552118,2785141936,1844492512,1018948630,464619589,2826847170,2487046163,3310187700,5075169084,858584249,4218923520,1970238456,1770412046,1152167233,3361093016,1930287108,1544219842,2597627830,126197365,2021956560,860684034,83895136,959928791,3271577605,691587867,3441910956,5807029275,7074498294,3347454428,7273575584,1155821768,3760914690,2008176904,678210969,950436138,1082810370,1709977606,7755792426,7933309528,1378849031,3085238863,7180083240,934073110,662488709,6069205093,1474874180,1848030402,638046315,726364950,1746053196,3575844351,5479567170,6814771808,2182703856,2922412760,1180844294,651343608,2089677582,96759791,2265512382,4289885070,2221775388,2771335620,2137177623,7441346984,1127141073,2888321595,1056304854,8293427451,4185277866,481568160,3177116073,2992656604,985499640,83152359,472787688,1789421532,3624127150,216311344,3014245345,515394146,1310055345,6381672032,108458222,6343479640,4784062890,619004742,4388196897,2114356120,197816672,641894825,688982310,6994702824,476735403,6188810144,2986954435,1005953176,1702410216,1877078236,1993144824,7827949044,2317390866,1250465292,108869410,2184097520,5016013524,324226088,4930104960,3686613994,4013317035,6560834624,1560118958,5611410368,847276003,1793947272,1830930320,1160547096,789230875,1176316128,870182864,3923686430,598593610,4227916511,4723079130,1918246564,4709433290,7811387832,3377522112,2260009885,1716606640,735492188,611935940,934420746,7871146,1307769720,3846677292,7129820576,103215468,94178585,4836427190,1589173712,579849568,1960050544,496222721,598032904,4912066278,1400271165,6413594346,184822297,2382081186,4339721380,4560767675,1314154107,161478174,2181045681,558870647,1284065640,6336345071,849724822,1715392432,4247166945,793359000,2532111975,328874182,1381255036,5400125689,5023305948,4391671900,5895871870,444898036,2084385570,645983000,300417991,3791820104,4901145858,745237053,1223731816,42654290,1241543570,70070626,4409100304,311050152,3310629290,595839926,7190298352,1874524857,275214755,974022124,3702041480,716562490,1964102010,1910753344,6304998150,718779004,314583118,311279496,7277004216,1891338880,1815235696,2088793560,2431540884,7991023248,916130778,2957381604,614824518,2620481211,5161650684,8623933173,121248410,2982117660,302203754,4887177561,1730026647,2058708156,481688829,2465253084,6087411480,3532679265,4090077860,1491756520,1353050064,3305150105,1143211755,153563980,2832351534,760017706,808960739,2167122450,1823113044,1032452510,1162068440,3969075400,1291221780,2168014527,2180125491,5160085206,4729616,320400891,2553984936,721071192,3460365264,4599082870,2271943828,298857445,2035908051,224292996,1451122764,4934439639,677227838,2058637700,5619009400,1266809490,905479020,65998142,3024192900,2573595297,1261140585,1691109716,1982261469,5550128600,1702920798,960219416,467392896,707229217,668024862,5673810024,2176820872,1363880038,1033685876,5139420651,1368724392,8171065080,3245401746,7016766056,1481993656,549902094,8603498025,8532580068,2537056291,777376260,6655553527,980935124,3729294615,485637445,16073384,3910340572,2516245080,378937674,2614606312,4021653120,3066461564,1415193455,270010610,8311003371,1669434478,450387522,4122586750,4683833442,1873572630,3228482752,2160402912,1218331344,1578319893,2834929377,1915918268,826654422,259575607,2707898028,241649309,632271604,1148895124,1246474004,8127476964,1408586520,1993115772,1024071532,225068564,6493230704,867847888,1653868110,86482843,978945186,1800721470,1154015391,827994816,3647040061,7893836028,322249436,5215651821,1246463733,4618886594,6942848479,1201254894,952294845,4035256020,4431618144,178972044,463932415,290587383,1995531986,4252880904,1581348126,3211150872,1242502320,576623565,107328398,102563543,425157512,5606743416,2223161772,853692959,918896473,1805484333,1012486720,1758974964,662314930,1783942784,3465634554,986156328,4662344466,388960143,5973723581,4039196838,3499699374,797170849,1832999808,462617488,1041889584,3327343235,1581029922,2169974046,6336432200,743003934,6919140368,9707900,1757987534,828379587,3232526112,2261013025,459059796,1441261017,285828104,176254377,494587914,2197164432,651814896,685304033,270152190,47416917,4099485744,6974197825,1557173730,3560371140,568839600,1797181470,2414785131,2844694536,3159423990,4810245034,941133768,4199969555,1110038244,3360259040,3660569640,3746005914,1964541240,4074373302,610322972,1140648470,4183584310,4828202460,1977545940,140109588,2812574007,230704875,4774781760,1398206043,1169245242,498633450,1101266785,3309859206,637074107,928848711,5130858635,6554867767,6141502784,5321172304,2611734024,3396517479,1008218985,4510707220,105829312,1401812128,519606152,5950286832,4494986613,2364714384,1715755476,5436985488,5869111212,7543817816,2366444001,1868865551,350621262,155014749,6930157376,475029699,4595681560,849740825,3939784804,820938333,2997843388,3966184448,40423750,433039803,4042735830,828649356,2896675684,161639064,7515344592,2071979357,789847376,5047784988,242572760,5709703824,3581843153,2578201743,422367728,832972740,1014775134,8485678476,1964930682,607710069,906626286,2068412905,2303432505,1288957131,1069800190,367704726,507997832,657361312,4281910002,1751532396,1311902792,6438267639,832872400,4074409602,1994820674,637706006,4931751115,4604166702,13853884,182123732,8062788735,5919477424,1940123740,81701160,519941531,1389995635,4246236560,3832239852,4989425434,4129228680,3089754432,7153339328,461429450,1394906145,1609479214,2358591819,1382370597,416119314,953678605,2283903147,424004259,109109883,1210814976,3551152220,6388566674,1753419409,6881690096,361150264,2826110000,596565004,441501165,40109846,3595934776,547665996,1375510176,3533504725,2342834752,3546520623,1860119644,5197333596,1023759938,211324077,1685015384,363632406,3930892965,72449137,4841102979,1613096408,556196014,5187565496,4627199898,1436153830,2789482005,3787820764,2032049907,1074418778,3522552840,758807599,4577459380,152951100,5154795002,4749862270,2504736,22425600,2788115435,5161054674,3729612168,300024818,285442752,1309516460,4576052390,4254379776,1590991120,6558069944,3665335044,423452014,857743304,2377644956,6309920880,5003556292,2920820154,307819815,728953936,2406681240,2958127020,60935480,2518790004,2393574183,2334090100,2863410952,1412449044,1119613747,952148101,3497766069,337558560,2020724008,256535417,4650777032,2064003832,4004325780,7429900275,1027082896,304154052,602688784,482354222,940089453,5078804640,1430225140,5829638992,871756950,581682588,2017893627,5128935096,504006081,1949981635,762343825,417182576,394624476,481490644,962138244,3411319401,2036200436,1215901536,2291904790,1467123582,3466556802,5297907510,2709559377,176456718,4931737938,3977624154,5941053000,2651277414,3120575878,1628764240,2860344675,1614968454,1632047708,378755832,982552958,4591200420,24003342,3092808740,3889628352,4138150144,519073067,5809794678,3518389225,7854216128,6796798992,1177343482,933258368,3064413360,1608266772,5636660568,1469376252,4567172295,1347215140,71107884,1986370364,6097991120,436126419,4620670842,2917801929,3472591906,7846266416,1222053264,504988874,271682598,8573452263,6963188886,27416286,2838537288,923830157,2323992807,889952945,6950267760,1981013578,778264971,7303194456,5479583248,1644013308,2749787579,2649904500,987783671,1234107162,1075390128,2737427225,1353108407,2686719654,6805914199,3690631056,7048968480,5745004020,34411745,666970920,591760155,1867942248,4482789774,1132623846,3324389536,373659774,1504034808,931415916,4440691557,387037334,4224349734,4483199504,1797821974,1523061814,70962114,839757708,1945008340,224623336,7902248886,1957840266,3163968920,8362484415,3102000628,1024215738,3380907072,666807394,3060321960,4421034816,1319548014,763979652,5663263718,934402205,485538816,1274244958,6880789280,847891349,2079203064,4770182358,1009624024,8302948839,937922248,943168635,7309200048,3492967230,4854648396,132760140,3498797124,4467794838,356074324,1184310756,1342503336,587754054,1510038966,16603250,3728694132,129954872,1669940451,4506568614,3732771645,3187196118,1179872877,419846200,3190913192,4580082255,993935464,6770300400,3541197600,3294571014,618352926,2452684084,664491900,216097629,300481848,1050767163,2714762305,882470155,847701528,1762914880,2574385011,2492780976,2416092472,6587691885,3790565976,1150501122,2739229090,853267410,667751048,2416758018,5060329170,7666861176,473723454,3856054152,432244358,2479773468,918512392,2128957980,467419649,18084050,3267843180,391349976,540349074,1845547990,1785545372,5734440108,285473329,6223353724,3494935336,3064940964,690077798,1446350212,2249775897,5989114971,1672209470,665205194,1054120910,1503105909,1952652022,2416723656,5078043120,3160548486,55012266,1494763534,3682367320,1667860218,1974903096,33420016,2205286320,1755715680,3947834886,7295347026,4703705671,2095555515,35946837,320795850,1973886914,440698824,2198362570,3930504183,428313058,1476752708,6060591760,625238804,4901874929,5523170728,2209655602,40750941,971945443,9114810,6750993402,3086923764,1767423585,557537340,4554818328,3087716190,1413699591,2438829145,785052608,370344128,5474146920,2557254180,5573578710,1746713802,608481405,4566970730,6053650295,7400464472,848463581,3710418065,4083826465,7601405848,3291757860,1431099222,2354586591,6759167289,1263482850,4197393,1373715640,3568190580,475931729,4417213524,307922757,943400963,1737277356,1545559132,3355553768,1482145420,8356804,7670662272,4941255006,835820269,3749803834,1905245268,1843219566,1261789776,4203370452,938542965,1276449948,2006467670,4462157040,4600877016,3456372500,3019488112,440219184,774561180,2867023575,1010447972,650586987,5342472976,1662058304,359090010,474994557,4520806895,5055278389,4429691308,7309431126,6416305920,2925167860,2064223416,1871406192,5563649334,2307625122,1401101177,2039743734,3049549075,323104448,596375026,729639621,824066264,1200501890,2384419059,1436032782,2137914456,3233283396,2686373400,8326404261,823931685,5896858478,1679118858,2828440272,1078906276,1022577612,6049637097,5004875648,2992054602,2362283624,3062067096,747870235,2469931944,1744290639,1177512634,5973351768,2046578465,1744379352,1819074066,285686132,154012782,4315160205,4644477250,3953493747,670078704,448238946,622776759,1417711372,318382220,5627936136,937026812,537822636,1443814846,3722268312,5583476052,5948378072,2661854870,4657976892,308920044,7092926912,277580526,3741447756,7152931746,546534216,1877087009,404764101,862892043,6780378699,7102165473,3218336744,4181803990,2750739789,638119542,800369130,3113763032,1619987888,384709969,393014487,787088280,3699168830,7720499394,3737696792,2015755364,665500098,642168148,1591235208,8021901033,278286432,2560451408,5103831208,1495782168,1011180835,591254604,6551806436,1786248888,69049315,1708208412,4836833696,4517848264,1084218240,2281508793,2089445328,1854707340,1792085084,3202955385,264878497,1110446644,2909645980,571212444,903312156,2094318144,3711084256,8908542774,4900187808,2218736763,5400921090,584704362,1478967665,4691805168,2518083276,1533858459,826547740,2359697070,663761960,1044949950,370758573,3914406040,3424186192,1220797012,6815266096,5157633740,6529252177,1453806392,3807607444,6511648325,2291250480,2137787225,3846271038,612087964,1367946320,638970843,1913060214,101675524,87658158,312892776,450236079,155548434,1846131203,151085073,1410312270,3255687112,2750302224,8628151887,4670749657,2470412574,2370942384,4236531366,2326755036,3247591220,3229862664,591262518,3626179000,1659436756,4349065620,589944300,1398569142,6024975720,3933088080,4687697763,4162371880,1731207279,4506187518,2707658682,49790766,4756321792,293986158,5628858654,80719520,1825810857,1539293130,31026272,1761372963,882914535,4648755462,7134016032,3373492851,4295892432,383323106,2525175174,505382814,3813552312,638916096,1512476861,1834559484,45110757,2934257418,1468905200,3940108473,2882151762,1416507475,6692019912,169561843,2059733865,1736121880,1258763516,1161831966,2038439886,348105584,164313092,1714107876,692376584,8583723162,1147932285,3648036738,708410554,1699176688,2003611272,7226227760,396321615,547868460,7820467496,3369343412,6810744941,2992682028,487978988,443991677,2153401686,115533466,470551080,3919849388,4689989458,7439618712,730900004,3528158172,536216234,1340397912,1162484271,3549138265,1797555384,7547817,2661878976,106217850,796904458,271505644,3856467140,2768927160,232663863,331347076,4598100626,245985144,1941016722,1797237510,846242308,1634748792,1125870372,347957301,351864432,443628496,288315546,3385545930,2138174019,5357289959,735159076,1824384744,1710271906,7893842283,1725074064,2484102390,5445565096,4578504324,1524448719,2971848318,378769344,2933652558,40790799,77032819,1900853005,2416860483,5596660349,4612419747,4917401622,72583713,4038544464,33527424,6837172041,2470184604,676574226,1755494394,2059228968,3215864223,3033332676,569055000,921711462,6900245112,3462222968,3308734608,479131686,1192050004,8757008064,577811304,199415809,4093622253,2100157152,3466956375,2976933438,760709918,519777920,2683977789,3141395523,7862530680,4904355492,624902190,3490557948,535131167,1299574560,1665878732,4869917941,636586412,2383750460,4607597125,6061733766,24022802,1560171310,6093172113,857307612,909449187,305894142,4615057845,5935073193,8823504204,1570819580,2066255849,1316496417,779955104,3489865764,1663075134,1682596392,570088921,719887602,2989387791,605156022,4379108132,3176471128,965528214,683862854,558504722,83792318,3045458514,727555573,1418323765,5223495168,2569499968,1445746897,807748665,3973280630,6089664744,1345901992,1740373059,965710366,1432960430,227339386,874513618,3971086338,506156552,437172785,21187016,6833289321,1530511260,301233164,3979531344,3567119732,952465783,1026326076,2544904312,3424086310,2731769552,906971715,5956857009,820875491,5375194720,1849426404,2336926764,1270864482,6135946873,1721584824,2801847010,4334947592,1110863666,4598306667,95639984,2144966676,1832995408,684567794,140566905,1734263628,241050535,2098357350,998094564,618016620,1799795224,591568066,2342343648,6359994970,2040309765,2016361539,316138236,651416409,2784986355,2257317650,1382857148,283180680,6858724000,718888247,646360685,5870561094,969286648,3469886190,3009079916,855313764,58657826,883838198,6722934088,646795970,281619416,5710070892,319680107,1040041034,701828048,2985075699,317227705,103809006,1299875418,776981220,562448520,7368533253,449567358,1994502924,1665512328,1442414790,5945223942,3849592875,4397657866,2072813536,2245641732,1665482967,2253698716,1187723904,879006680,289727400,1368394566,2534687841,4647152024,3255443674,6014232441,2622178928,4542800616,2927084870,2754428550,2893127355,4310208120,1926218116,263110676,2468238288,2110101656,812033960,5989991798,1246451070,281794684,1097492073,1824100820,248861343,2548427484,2098974324,1508792652,4664509160,2741318802,2195673385,3057668860,622045375,2010266232,17282930,229756520,5375734232,396971994,480380271,3982389168,361263812,1714644826,34710867,6317272136,92561606,71087364,4611399608,856923305,7371442480,792452703,3151631250,2134338816,1220923424,552870049,3082278415,348786723,2402891528,693968761,1353874479,921015672,1584782374,3756302592,635202732,1097009195,447371526,3862034296,8055561960,8102756106,1704801995,558971130,6186872986,4100280264,322458672,487966177,81271592,515138286,205315848,154878990,1772529456,5698635372,684399360,2726148135,635682570,872376884,1219997972,1457476290,5118142096,4312553160,6738386305,5926898775,3455771984,1377426642,2089768602,1809389064,6723520600,208668509,5628549704,519164099,548755761,3427461330,3006998491,1682844816,1313850867,2567616672,1746445245,314877085,6065094825,2341058965,1093688280,3189712302,130869598,6949824192,3383711155,634942404,4280059312,3966129396,352806204,1480696655,5850816756,478327030,2670072045,2822430075,4866580302,2470983500,4708978722,733253768,7430157783,6783714352,1763592330,3604427412,4636190496,731183615,1131142942,72054414,3099708300,4642580152,3536982728,747909936,3211682192,8630448066,101159712,1436517216,6550441142,6793750134,1387499712,2913239799,485894394,1234429623,3283511286,2165075235,69129998,1248767178,2855348028,2706522765,434214546,2323153608,838714540,1338722448,1310315802,3750229000,8301925080,190756057,494259962,1392746672,1912367475,3845067192,5948770,464253386,5491045938,7502382387,233504934,7163721376,709293132,67952088,2088136920,4233175230,745921023,130097171,1832971005,2651505321,1117348244,4013627408,463143420,2165858070,1311991839,2993956512,1381704332,3461924792,3340919370,4129617762,7272758856,6761590598,7918754480,3369742983,173430300,637686504,5571364200,3220397504,400605290,2447220496,2756588968,3853455325,466222426,106648424,4632847936,3956668149,372730806,2969090988,3304384398,1417821540,271549678,305345032,691139899,2544782672,4652046994,685356435,4813858945,229853647,601679971,6230307692,2792081589,952893938,636464785,636660570,1264803027,3496618878,907304001,623930472,961265620,529842100,275887308,3740539842,527235966,2410241205,1943997462,1439711728,3433374726,2467083656,1600174014,3535188700,4103544348,1291726206,5451658362,276362978,5779103918,204988265,614075875,2095861708,447255585,3344983560,683515562,1316875230,756960090,2440655091,308409998,1710234393,7219294497,1501316960,8761017132,1897898360,970061496,2104176567,1695942237,5860889181,1964507685,5638937675,1297101952,1650199280,1668668391,205993702,5386743162,1868556069,242074541,2242123520,2794608966,6969450280,710324537,4368211432,894944592,2065494668,10831638,2679779070,2181007920,1256076328,1477082652,5151267162,1634876808,942353130,901524314,418983698,7613453214,216491536,851556270,1672024296,432682630,191965056,265435671,1063730276,394656944,2727957573,888607895,3171592110,4055034,5242296776,857274536,1638346785,1002845750,3250668096,1736874060,1810965152,1196474637,765578616,5258694168,29486441,928587928,7225312491,287042155,7513945512,1684487852,220700684,15224457,572693212,1679224708,1179754116,872345376,5828762520,2325160641,3809973852,887027370,1798175398,1401009735,1391055072,618935006,2481166276,1733638404,2204648310,8166417840,66535784,1815123194,3084895935,1191921270,103722392,1882861825,5700109464,5068323333,297369475,283214576,424110624,330594677,951816986,1838022016,1498065124,1945738775,194317376,2396431472,7757037520,2685409355,995654220,4169509225,2302534215,760893233,2883521064,2902338207,2376907484,6799886664,5505828632,2232158124,6157069280,744354284,5125997723,4001011038,2674078500,1064761242,4127187862,1602060860,2726462102,312826106,2532828704,3127637268,1521020427,981789361,3163969235,2984073106,7168729500,2884623828,915942518,1841390082,2653895892,1541628730,2230569030,163395840,1273667745,246233615,4641893289,202918975,2636519543,1464791922,996052014,260865180,5165021820,5945163792,6375872419,2097772392,1472956795,5514271098,861389720,5417319705,1600574164,1948988804,2284722160,361030628,788851116,226188264,521459608,6647426046,1368357232,1978287099,6088590536,1892424814,6411192885,3836833060,5466845321,1126880186,1410787740,3366915464,691694490,1461946122,1119362073,972400545,2230673178,5101105821,476313032,2577728675,8913624264,274062231,4800429860,2865427768,1586234305,2513329167,3936122735,2848971352,3620253592,2572135944,899535120,4998843685,190671586,937888418,1508758600,1672760676,1020893358,4413201500,524688042,730543509,814978393,3014880008,677992672,1279669840,2524683843,6413592507,16307201,1165620668,509444691,1333310436,2531663465,6231644209,6551725878,1436311618,4386175740,240025640,2308209070,5218540705,6376277635,1784890734,3682995925,6895699069,911678682,1323614774,1414035474,291960277,4964208755,86768805,853258974,150978777,9015315,7952925231,2235455932,1018988840,884846794,1522825338,454703614,94724169,2672414145,38526972,51549381,5529184424,2088987555,4572293744,2381225888,8799217974,1079591193,953560548,1676912188,807336906,2253963848,299632459,634360728,6400242270,419697199,170733587,1642925865,1220280318,6645985549,3772545222,4507681598,144903552,1363832318,4097361184,3905390142,7321278285,1250197658,285905402,861653382,605352660,3768152290,3817272120,371785449,1304691540,830464390,7373938392,802895215,265690128,3408849315,979802185,4322883808,4827661620,7433065080,1690257068,4071871111,8059445541,740060188,2206659777,121101847,150821469,45124911,1739350315,4556463190,1598230910,2703338,1197827372,1342601810,851602125,441470041,1743279536,3516452065,1397515878,1188208650,1154585688,605119160,254458459,6372805439,1468154064,1772147318,408754570,4682219280,7609294521,3581831256,726868678,3436658300,3906776853,4740153024,1107786327,3119832348,1502488906,1753785411,1555030918,680383060,6266095052,895866526,431396556,1642361748,3284615493,323452605,1700789268,966617358,1509418170,1581209064,1507462260,3146813016,1077145382,6706316722,6125527485,3795438575,1658203288,6062150176,2836464200,314818810,7642456480,2706849464,1689670916,1861092832,70141889,1068537627,1715774124,4805144344,5624999550,6399324657,3434471520,739052574,1729506636,677918376,1621101552,2579011676,3099452391,2858708070,1864229322,904597932,1137328198,481839368,1926747360,880827279,1340306656,990205874,28820456,5058334536,214703196,1709998745,347612584,2698955360,1210945184,8387614377,6338960712,1122257808,298023612,628273084,952322130,4191737730,1639551334,4790216018,234751620,207232949,921557559,3095413926,7570859936,3140952884,137392110,470447554,3547269864,7910493516,3003348908,1194779222,1295030246,770886046,3441946610,930657048,7902021280,18025426,546205682,250594569,4394105702,4426814854,3014771640,7068540393,6056469459,216964508,706945584,1950997048,4200578400,4944459429,6012771768,254009574,278994150,1595301568,2787562085,2548334200,758501182,1417663974,3250401765,4634784768,378948884,227311735,44041218,641737988,4915662762,2143166172,3187895064,760127795,4529505610,6537004695,4254636744,352299732,2401971492,1273430691,271344984,2968087828,2330033325,2422725804,633433423,66064392,1701851837,1861707200,4003094470,3055015648,3937353024,14107136,2863563760,6657879137,874058601,234468284,1098533595,1882498497,4565808684,804833340,684995952,694798113,346224834,1890005256,988621032,73098651,1043391444,431314887,502826230,8557987473,1190960948,206395187,5124285880,1060294362,1330751182,932304708,2794871166,6434773016,2366114888,221793350,1334443972,1367802152,4917907113,3974544161,950142344,3893426888,296284758,1701195693,1343054286,4608021635,3280478728,735699726,2028563082,2608451127,256783088,4041034760,1273210857,883394292,7804449288,4812658640,886710540,1973122218,1027712504,6422780196,7531742718,1444730058,2279976532,5028057692,455409416,3146721108,48822876,967016716,289765612,932833925,576333318,1100836346,1620084680,2921818035,2609024754,1505414416,4729184397,455040672,1248929568,2535597136,1161025218,1647835780,3498849804,2793400110,2681763904,3395268260,4473247566,724079560,6374145302,94988340,2961173965,1226009733,1734783654,2622888002,3745606920,2340503025,3295740273,255418876,4085212790,131204991,4959520038,1596676509,1418490010,3016098638,422062730,1630426425,1089007443,7372502480,1589140272,2857363380,5495633521,4004356445,8519754618,3018699264,277767596,5916862672,2407049556,11178312,7692234381,2465360496,274597715,723688374,1589051668,1594790997,2459186692,483117160,7584032712,872926866,872718850,35320488,5918133582,1151121572,6286710960,2467367547,2260894626,6003901869,4581444413,3560394798,335968044,495649820,1590006414,2471372694,2994650646,5647380,2780603835,7727581512,529855236,6152475637,3444801960,1459167615,4953918104,3745852341,685259826,1029699146,1657962576,5701050894,4433929920,1136975220,452392808,2008012638,2147504004,1701414540,6778563204,2158732017,4485703980,1092578394,3620681900,1170058096,746380460,4917820266,1896140866,795218132,2513926385,855796634,1899747752,5557826826,8145987570,3468007344,789077384,1721537736,1695097243,683832654,24078152,2226921920,5106419304,3555199032,2465331360,1670996214,8664365484,8889965910,713479786,349373052,6820109429,226301625,490357208,8603435286,3376534160,607591643,7234389288,2275018832,5481376544,747166239,688538872,2266873430,189212256,528435723,4538875014,3774668850,1478972544,365826753,126529734,4559777028,3887027746,2374178436,722830412,953367810,1430189217,5887298196,8788368861,1048432678,6727206514,4625557520,2102106256,3679456872,652667930,3066331330,3695266926,4059445836,8691706521,1440763546,2259121890,2054326266,4867099174,4297601768,6960170277,5732699352,749773955,1665273736,238227445,326943144,3087341040,692454480,2269538383,7011528165,3097622640,4271578290,3746935780,3822722106,5827666280,2816191075,5622243116,1475355915,47487258,5037633741,3523659085,5769533511,1238690382,2688513004,1674113720,2693816412,793583366,5941647702,1634391234,6691380296,6115213230,2968977861,809447656,1869942338,7879661776,3024126784,1745030637,5806893510,5990962833,2567288992,5029288131,3407067576,495894248,537265612,73567170,627423360,3675999120,4211746272,6003563120,3635652120,4777467240,781676108,1087542764,2121690664,5958684592,676732570,6120753192,1880274160,3806727616,2079531316,1884129152,3765294820,3334591420,1449747912,91526958,1135770633,487007983,1648596530,1876889720,7815915232,5431381438,5295964,2981288781,831862329,749310501,2441605810,2126017350,298327580,1272842205,1958003084,1859082345,4751159540,2669659464,6905144680,453935198,577276688,313419029,622989231,2613122775,762225660,3969115148,562502395,1573811972,2647259006,8780764464,131033112,3781757535,5180166528,1813050726,5883799648,452911046,2582822757,1916121032,893355838,5283871878,1781539240,459057726,288643319,495848550,167702034,2041785340,68613666,6750652869,1214453870,1129246985,1833563800,1506310652,1318329636,5356211238,848413526,925985410,764363478,1968006666,253151402,1686705890,670500318,1851759252,3580487644,1241442726,4902562524,3099421740,4259380135,72022314,129354932,2630193232,2262754092,1496507019,8239335120,180918330,3364343292,847437525,3365778360,967315674,6392534274,3333327750,5950000224,899250546,1763220730,1695888042,5804433032,738495408,1381529214,1883982752,1436859678,2734536161,446994975,957164989,806489645,1889244132,4571157648,645675800,2525199303,221596295,1914555208,1430757432,6384365386,6413382514,675779560,3119616516,3048423959,3445864264,6465984064,1958149568,1034228710,1761909660,135693342,422634264,297951941,5468198598,1399115612,450312800,3214440350,4630613988,94908691,1148693560,3873528888,293851596,1627346454,766868166,4748255154,4064117552,965004908,1016379990,2465731985,715518519,1129561593,781612524,656990472,2052669870,1945203426,1967537582,2288582829,328113236,7533367461,6530899438,3645219750,3866440760,5768673904,293014075,2934827424,2122005812,3290875092,1996992288,645121088,1049808459,5367359583,116327452,964391721,746775840,2378051991,6129552331,2471571220,259853435,2919406116,2493949504,710434758,2289593236,896560497,66177251,3282673456,5267107518,2696680053,731704401,3229765564,2862559392,6809402397,3654953192,596744739,2152929000,4061124970,5978887371,3862047275,7839556512,1071842040,138773012,6830411945,2515408096,518562204,1503112280,2490508164,1751187540,7411589298,3336556384,733594197,702321444,744276357,307779099,3171377496,1297808640,2820562045,4610382252,806420552,8033749560,2320016265,4430919128,3033485680,5569566228,3684211038,155066682,7119389448,21258396,5646785977,1110724542,1529829300,2232579069,1696897307,243245976,757300377,1296835430,2538593756,1617845648,773366920,7129759896,356370056,3395406186,707620301,4367957286,2150591856,8542623978,792004373,492993610,530160993,913686954,2933090010,3805886136,3913089712,1426447148,3149900684,283205535,3663322620,7286525586,3637801467,715737605,667679535,5224533558,1709645496,3767884866,5709579785,906114090,603151808,3490236666,2835088281,1699760118,1402155680,132461513,3502520504,664105115,350220339,673141880,4499180532,3801847700,799855240,2826035298,2001170420,6428594484,2142044334,3206497602,283526805,172134379,391841376,2880585081,3371757192,1985687056,2196952954,3747576717,2677546840,4841612328,3033135780,2778649376,3606620571,1991394644,3189897592,3372391510,1407811842,2544988086,618531564,1512785536,427863947,807963008,4728446205,3429757072,2782722519,3815959028,2851956747,871583490,653217506,451150488,1556469702,953937292,2714722016,3795593285,231347815,2522545182,1289332395,4134785810,5861315159,7857118485,4938192660,7042869270,2117810885,2953467476,1353746172,1922943576,2699834235,333683160,2917304576,1852065375,1097194470,2966549037,2465236374,4019473990,651394612,2072482708,5771878910,1069641391,1455439662,1693802968,6006468188,2315727972,3915025585,3826634515,1948632440,910724280,602992845,6554536752,7335357183,1966540884,2245733553,1896105112,2218097016,1314696004,7942835928,5936689808,45146277,4784105555,2646707248,938089168,655810170,163559148,6752702151,278365438,2387001208,917336223,1228951716,1926128938,2880691311,7825542568,2887340790,85451042,4504769710,757218002,2989172708,233610783,232703745,959188626,1699441464,674154832,127033324,751811672,627583329,4823892774,2215819756,2169463275,1342581570,1323519127,2531593485,989732442,6838115130,2609742100,4274091885,354647064,3480187548,3378781855,2994067068,6630395072,334861215,161677068,1322932195,876468672,3316485364,874294365,825871374,3590786082,24258674,2300915688,831650073,455079600,7485875118,271594732,1187770920,2193222416,1504513395,1479150038,8079363837,6931768482,4945244550,397228375,153645355,1912130360,8716132053,204905313,4585912248,4753976488,1963545528,1908992735,2455766196,5659897734,380020865,3490167330,1926122181,875080068,773940651,2855535116,237646209,2116486900,647063484,4921222166,4678532640,2071602207,1363234924,8430589719,4111537710,111503863,2240434224,1122663717,3378765100,3969070770,3877598544,312087370,308527606,2457899296,121794018,1015484913,2526786666,5747154960,1192352550,1812902238,807639596,1551537578,2486562741,5261096776,1826339463,3203813946,2481710673,6912427920,485266470,3435776848,2551859768,2270711106,5997538680,2631675076,1076434250,2484016380,4037978903,6785220064,5594496498,97438408,1634708915,189401549,1611778605,765248001,1123588750,4026064408,4505592340,1081936700,905591772,2439068940,5739397134,1911619922,2960177168,1046269100,3723575540,1420896379,2193461228,1735302903,1010253087,465681006,4547785190,1327549904,2149999484,4039518240,2261027420,744120489,4746319760,1182076212,2757374400,280417952,1155665606,2195900622,6635084768,4054412640,2030833434,2314584528,3004049754,941948694,613482227,1126057365,4438208709,7187750864,3670317273,241227216,3397317672,2675516796,325838377,3210292970,1207533248,1349034948,5729781684,1276339196,2600875326,7046103996,5550706314,4945777150,5016581969,4427870283,990659532,161324847,2072181462,65499189,3068722950,3810008488,1914568232,4670570024,801628144,2598149463,1457424500,8241868800,300653290,927529896,978907761,374105460,861601855,1417089158,5015278104,66173919,6159390786,3955844744,5082366576,983571858,2998965108,1060319932,897890527,5470249631,3940452999,1367059196,1226252151,1375565110,1523131904,3505277080,1214033055,3176885116,2530549116,16932612,1446770073,3609730745,3639522760,2609737991,1922017848,2008847286,3667194112,5876338518,2507807088,740061684,4442560452,2973818176,474608847,1989300676,2030844632,5161386861,6492092425,3819626232,1961538208,2679372752,654758976,1653715212,2274355360,4618494660,1852254042,4096376154,1045112486,1859165329,805767300,1171677784,519289479,5189057405,7296380550,5528574548,309164209,975692068,4394299905,1597237690,1262174010,2380890702,737870576,605377407,943163289,4835433110,3404048796,2447936672,5994976500,2293900971,1198485276,7235772688,2270829426,2883063594,2436951564,1266839688,2012783193,1507770150,2992646716,5574182352,3889560870,88870032,4114774620,443665854,1602000224,1557460628,1498071540,2125758510,3185869257,2345963400,887021191,659568312,3811643072,5146912246,3570934408,24266075,781134768,2073087408,2943364203,855009499,951485352,1991689716,5763688704,721664448,1533839175,2566716084,3648304092,739414054,389369166,657322000,4780089208,2996526084,93176744,3245736236,6614134256,563680638,5964753249,4093813944,948697054,578981811,416297660,5811326802,1827096978,725601925,2812385020,393382848,1216212312,199404830,366348172,967916795,1244843283,201594650,670406730,188164965,1632770816,232533747,88004195,5945497280,1663038722,6282794412,810510170,738649800,48785560,6075236536,4515794490,1832581062,2123079040,8335074537,1860599660,4601774680,280550496,4006340475,4586310008,8631467604,1148334966,1131878084,2287282172,2240727248,74011599,3321061092,4527585216,2004598356,813698050,1305000522,2822657490,5651418534,6171373404,3686754253,2213451616,85867208,2623967508,1464881656,3868401052,4222110565,26957736,2231660052,5865231915,4767957628,1853595875,8154511011,846768330,639159588,1899681245,2225072238,4585425725,5142511255,2766030712,3603593007,706041095,5349869736,5991525491,1676446048,480095864,1344241888,85583545,1439244672,4856351285,573011241,4295365900,4019019786,1588180092,933452712,109295724,404440090,6864227568,33985655,1521315090,2382079116,2094473990,2903830470,7379536941,5738800446,3533181640,1846480662,2807261736,5764442310,78530799,950701240,392642166,1828215656,3884894584,714494124,7740448956,1420702700,1314857284,3363039140,315361236,2299827684,1820528325,1848894246,1832872077,608166525,748908876,1050778872,2243048679,4388869480,5286106680,5749791138,1604129841,27808080,3420121044,5392806648,4981590140,2984770071,996187195,5155014753,222703698,6240361001,1660258004,3092411043,2684140227,1003774464,1855750670,780015768,899878008,2721894249,313403010,1554951141,2891075103,5814249588,409019440,4039877264,5708299572,6751406944,5826279480,1810985960,3280416675,3383271588,7856163256,3584744292,1590458104,1418287384,1753154788,3446518747,5197278582,1981501158,3820298571,5176658120,6677882064,5848619544,3491315656,454848928,567088097,5944761704,762206878,2995917740,212149880,2532528075,470487396,6531440167,996377577,1119841548,2850169932,768173435,1423980130,651196348,1176084885,967425045,378705844,1301670,5811638310,5003363720,1528561648,847318543,809776956,1748717196,7713398120,5653891216,1833585578,1370604473,703723593,1064212605,6498498834,480952153,1735473675,614217342,3161518755,1346751960,2932975923,2771293928,2288365263,217077808,3169577880,4992932352,1836488022,693077842,2474316261,7040400960,3659976018,4850931075,470293272,1895449472,5278818414,581216140,1000229529,916612748,223967264,527538291,2385024723,7173336152,6329809710,4054918077,2968016652,3891850102,1013848404,2055173064,3235657896,696024539,1068011312,1590539348,41652169,268347168,3669504864,206330304,2261649040,1379635161,2612230830,1560613504,188656270,1404154503,5234344137,5093854242,471981448,2032381590,8543614680,1773125144,2112034086,689767392,4719746934,415933534,1338289420,1786649390,785458332,3197325120,3172375602,451871766,970409616,6425048665,4960280155,868990116,95717475,3344819572,6999402976,1486942488,4662384492,2543417613,1657410194,1530090984,5770658331,1769227085,1053506184,2249946336,5187680248,119558472,2981775240,936226262,2409840284,383100702,3001027184,1080352756,70748745,2704705000,2348553249,2426354469,6630444112,6345726759,2683519680,180549299,335993636,2455620112,6827617020,1160601656,4971566430,2525730172,3967216712,328719522,213578727,33258787,4568856948,5858607377,4942063055,1511626624,3451783728,2157843664,4825569702,384967000,2553549955,419436220,3521667546,2970493305,4070648394,846562906,1424210000,2485516956,133006041,3023515552,8508058614,712922872,7984888440,1054643250,3801585888,263006866,2367330912,1090524,5941945030,4580629760,881716188,511026228,6701394749,3208471376,7526546280,3494956023,2301350142,2375604785,4277323584,7811732691,4179255810,20080404,738966705,3679217262,4926050255,3399313744,1592526138,3356642422,855243355,8204478,4210482199,2216807551,199845325,2789792100,5562087000,4675670160,985045442,740478177,3906941390,3763380680,727141162,962316649,998757446,668063427,4958065320,3431108716,901916564,2286386352,938514044,6878343488,1153297952,995214316,918809904,246253662,702373924,1742131629,1621560084,888493175,2056604600,608778029,1521068264,774849251,2931841506,1016735935,5656673841,3612194523,977037226,7804903600,2832408208,7353181352,1745754216,2111187816,255459855,2685832512,1859545622,1615073286,2004563888,1070668134,2395400928,1759416284,603557724,695693724,2140002135,873680311,307533942,722296027,1153058355,12985050,3939227824,1460649330,551284720,2560138580,63274884,1689733820,233611065,827948240,1066886610,6550149951,5104198800,118372874,1418816672,2654466265,3011318290,1484698764,678304166,1120399089,875788096,59693112,1742935592,7456165452,740299904,392765848,446259326,4213444,4858476464,454218378,3601327872,5106234574,4082204824,3469005656,3135148432,2104230528,2849802508,204877824,999490640,1483838448,6415714536,115276848,1543872628,5550462288,4628445705,895979824,1119665426,8867185398,1072397240,1269531738,4013328213,4816686483,1214382894,1063676173,2925796629,564632436,373445144,689441614,4418741432,573821723,3036402625,402641474,5420954457,371411925,1473065412,978446149,239499162,6370328083,5601323581,3073963770,3865033403,1209656398,798188296,4981744557,4170036360,1838628462,4490746020,3078674916,5505673614,141145060,5956179390,4774204764,2957626188,1065371816,504368621,2612130063,998197398,65635598,5133257912,90850201,2550877776,6107940342,147822000,7592558256,1253023948,627083250,249793710,3722579880,1677941841,2172566256,1852961746,1586447718,3829958736,2562837939,4807569635,669460761,4214848275,2749850540,8489995677,283129051,4796002430,4738628645,767277747,2505353463,5591138000,1054165360,875079700,98928340,4837191785,7716744840,4943055016,518943750,8697419127,4790961987,8903013453,2748331350,905335515,1748609220,2822661392,808162839,6487297096,1146283929,773475687,883120104,2717868450,6172537347,4131573900,20101704,3782476200,1781621206,1977991672,139644813,18569550,967868234,672569574,582309188,6800474716,4174999128,4110392871,3167261348,5484881276,65014671,8244212823,1289262099,6071953993,8767242324,1542906108,6869181906,1349505720,8884704852,2880833300,1050142416,734503001,2291091648,6308371125,3815626164,2594911443,286388078,224219241,1479151908,178647822,765845424,3886213293,1106010550,1016888271,688952322,2224314344,3292599072,4425608460,644665658,482670231,4910281866,984934494,2685048900,1171900017,781199487,189398238,769052184,3604793515,2866681824,3492533248,1212031446,5524443112,34570776,168762826,707732613,2311801992,2712371526,1859893262,938113589,3332735970,2223120966,4487119560,766878024,1637539900,7071059944,341080560,7117293232,85877504,723786408,678835854,1288724780,380848401,3069144018,481936488,310358745,917311179,2987070175,6716503332,1272941288,5506046325,3469201137,2897446388,867576100,1484288204,617242405,2118018402,3281747190,3464212340,3734866404,1214828920,3808695401,1323675212,241110480,4025042676,2931682320,377105151,468527535,572884461,1537024752,98849190,950477207,3291919288,836391000,151787490,1514723637,1999817199,4695179412,2603189244,3780971284,2817255168,247338348,2619303900,5357162832,1409391945,8264136924,694661320,4663660745,6445745253,3262537818,1749397136,2446725018,2057454264,1389666264,810221546,1680124805,285041187,1280353581,3130694304,1972294910,281236778,6378191408,942479259,818669499,2389328264,2271942801,1472359570,2518473874,329024048,1283602008,64211853,135528504,3400247484,1881522156,2991182400,2702799722,441320764,1542301228,3284883572,4830551450,1676537436,2393945886,7139843208,3207866490,747765305,1181917380,182937781,3468076410,1696519362,1287438400,1611257808,4552982511,1828256331,747633472,6161482593,819698212,1995593414,2732482512,3100418631,1480227672,1670980155,1447941089,4989530185,344796327,7252543791,4668745060,273423850,437547224,866199048,86344604,7777736376,40735886,1964290686,2253033594,69541116,338128871,1339323963,1497008618,3425832724,958598258,3136964645,3502095429,2674241520,595090382,593476604,4141504,299930250,348553597,2653377964,788311302,721114988,1561619796,225462398,3318780776,1486944685,3334903904,1711714302,2432017008,2465345208,5581619456,693552592,4982238965,1668322125,1731942520,2087528787,2726703924,296308640,262568937,2573512806,289041432,723757785,1120799870,2865741448,804228424,300151893,1905825502,567298022,1039454344,3399010528,1572267630,2058239470,8983997226,1861873980,3735857810,2150554038,315857648,2323999464,3609630096,4728792744,1195447317,853086750,880476853,387129922,1057132593,1885621216,36405138,537018528,1697611922,2084164902,2707404627,1641991864,3145964644,4607941136,3095857696,2687845461,3829997577,555274002,2791259322,6808125861,6543601056,1982142272,3309737644,152249642,906433804,672683876,2664719439,1229905065,156393352,367368524,7451496928,5151615672,3383654015,5198739966,1243052024,1630359240,1592886198,1236434932,1197788332,632946872,483347384,102389944,2798954255,2013660015,374766522,1620535248,2631972920,1027793156,1423426112,948566924,1642959636,1531185162,5723610834,2560410975,244099728,847199554,3193102195,491593546,2007998216,4755101696,459388897,865110156,1372549801,269906304,7279025768,195493496,121763184,1500907260,2547489828,869327756,2369884690,5164615362,462722131,5989579442,3611576140,3061275880,6898328402,1022155092,940856427,2696449903,3431858456,380888152,149731124,1152784715,4404733578,4389054586,3791104744,2343778648,1074461292,1688308821,4845110040,5616573066,2759904784,2302375844,665810824,3891049782,5011287872,1642345076,1831084593,1932044105,335297471,387229914,5137523824,1544112680,599623951,3565518155,5165220888,850917636,2949272346,939724296,2533015072,1457377832,2548847019,7576883514,1766351340,3383048942,1595474790,485038230,3739834985,3814302858,925648312,703375116,909738150,689613714,2884150131,2892122956,5904941880,3359307774,2822469057,100965562,2152785114,6358453038,702638154,3807860859,1428750432,2899589992,105078156,1650193029,6948349384,95598561,2088704265,2529104178,1806729280,3145394997,5502745980,1012472280,3050894308,2633324176,1839590772,2780311278,816522095,1879253481,3012911420,824113396,113247323,6100916000,4660445055,2777657544,4995409440,2865659790,2197349898,1306076177,5050676538,2018961279,6727201695,1008096510,3962127665,1113646704,3374773890,1226938000,1553294184,4610287746,404704244,6516849208,850548432,1931709941,122320037,7547693712,654418889,2163692706,820821006,1673862168,2451311772,3203382340,581282893,3078249198,130099467,2839449705,2941007244,901083239,77568975,86688975,883148259,3906322992,7587989152,234475799,501094776,1282172576,1421058200,1450077895,1734581696,1285647468,2093134455,628237775,2308513593,186687870,2294864410,1343076973,609126215,2407483710,3873774016,1368655686,583931994,3783807245,366306064,4266547782,666750934,4494654190,2755023484,301300044,1074203496,4529162382,598469019,4663032975,5974087176,2743730064,4647302631,6605616535,6002667405,560261917,396462096,110346356,2632509420,534374985,3057956956,186146198,526655556,4930274718,434552920,989613870,241506980,3437557872,408732155,2787388534,3204010881,6722750104,2297602700,6432263648,803358531,6663993975,696449847,1236003155,922519023,7212346640,141011162,1327996675,2306832222,3441992600,3896934930,4338177680,170390064,964792083,965385536,4480922649,3525527694,5624618268,6587594744,1644663742,4200259488,46851264,454496383,9917735,2931616062,503697600,3850764183,62266600,643602564,1756748466,7124991,8277282657,6522798753,2573046116,830231838,577017480,870439523,294209251,8972931033,2434703157,356431140,4361923050,5854793208,5556682986,2525284200,3338555755,2561522698,171130081,2432471568,4332301505,1943834935,606032358,1258505340,6458757480,2488182489,1058254911,2770311925,2571008832,4173830915,3868845554,1961420640,742824799,655105196,2083337865,1992334408,5512857392,1503085041,1547295459,1209036776,1014294808,917368248,700778316,1898644422,794982854,616542226,476930181,3241942530,988561651,1973756466,1793574944,6148512153,2611419138,3975818155,3919624365,1696222413,2908861461,2353446585,54543038,447682960,5860793974,751535368,4873265761,2168462508,1177916048,2150596714,698694239,2747595186,1043115050,230034888,921160088,148385813,4958889762,3536067968,180734089,237021516,1597306585,606397035,1198326405,342269848,1121330651,3592900090,282785790,64738824,235704160,3040685115,1111301608,881195964,282502640,7275064840,2871220722,5399939208,681785703,972496179,234131120,5782391160,3137807425,2131470078,1210029177,1445799160,4721837856,3085203573,689905134,461469840,7110328800,3433000588,22465261,823157854,3396706254,943210227,2351648136,3349964292,8910855927,5307378174,2934606845,2058818094,1724176614,3436084760,5121767889,6191104664,4220147168,290932848,1989770920,2648658537,2942995503,2379826388,4157817990,4480593744,2561097282,37050202,1881671820,7403055088,4616573004,3991844180,748020528,1377874030,707691173,2705021172,3252859890,1250710977,1246054192,5378504736,1996007112,4084642944,6146091357,1200843966,907758216,622013062,1105350656,622933793,2749341222,1736376845,4450250595,3459440151,635140409,3367328925,78351256,5347060920,583800392,3883724980,589815441,2003416110,1048683846,244256432,4386290517,1996738208,437198977,1227141888,948434476,5658117093,3199374081,5441930352,694499059,316268724,3923266260,4178794314,2089251270,2040830343,434616574,757466843,5256220272,5000602968,1453724496,1607403766,681696576,521215475,3280164500,42204282,1744081748,5005073416,1132331769,1376047256,4596923340,3144484360,326812661,2607066855,2362656780,1891769960,7714184706,981050667,620682013,1691748120,2670279195,1864203945,915960444,1468657460,1061319892,841333120,2805865929,140810304,613779561,1541293035,1440720565,44926847,408546974,1570292458,725064,658553499,4619785800,1578205996,2276106849,2424373836,5868789300,967128392,1906576407,1846565132,5361990246,3036527530,1566100938,3777736468,998663989,6280016352,363932690,8037647343,760679176,341145834,3102186372,421510200,1895089785,941503576,5599171214,4224276678,753914031,7627323912,1555536840,626488444,1903901802,31145524,1516646490,3342620456,8616954663,990480646,974835522,2823653796,6469301616,1759256816,1552781338,133984296,3758577570,516227746,1017631212,421817960,217588200,1969428474,4833669456,7287240192,805996234,372586822,1400121166,845729706,766514353,131309676,2092457460,3703696340,6210173120,1286746815,531773692,4855188510,569047620,1473496188,693956780,4194839550,1530903548,349705750,5060953158,2362044456,4258270145,457287420,439515272,2977092860,3233893265,759951430,271247816,410809170,1767220508,5171933136,2557849490,1372419704,1620405466,454425018,4334519148,4709672616,6736130379,817419656,100818946,1211813595,457333785,743923131,3570159186,7242511338,1653663102,1774981264,5449399512,6247917540,4016236905,1311654306,4343749144,2836097760,1817806452,3138743223,1737440488,468612451,907195421,6632920584,79345342,7265940426,217584345,1632435651,4645736112,3874833225,625631867,853303470,1554453906,244522818,904888854,3489239192,3790204724,531125691,417509520,2427771795,932926353,168686313,3389570860,2668171265,464165046,3087938656,3926266535,1608014480,4943305336,81849257,451694261,2092770728,5179335552,1392615996,1558425595,558846950,5404791792,2445795462,4790939755,3131450613,508853884,904361031,2025300864,5057986912,3414152340,3325664700,3480256467,1551404652,7834376552,100172268,793537116,3448088112,3102577026,1614316808,1811902062,8004472686,6589946592,4586812808,40150968,541919058,1847917075,914288613,3757257495,3711308620,2775195840,693459312,2779448365,6795132274,8923008042,4928973030,2032040216,1728221058,1688183960,2320888128,759080444,2064783015,2405969172,5072019111,8404808364,1645739648,2893664790,4040998506,1761444902,2382541911,3487591584,406436990,2623869616,7794223256,755153028,2382790256,808644530,1654436105,8825117256,5726282768,791793303,724256899,1495181367,3569389056,5894678196,483275639,8620031529,3884888574,1348266270,2325150240,830044684,939251028,3769002024,6585025023,808330225,6696787833,1789643886,47953546,354189516,4106253464,2154110072,6950209208,2511373338,4847309173,1789315340,6918993312,4162366912,4797395694,1625512368,1885828026,4866174012,4340126903,564503964,946320284,3422106728,8011615608,2141857221,5145155184,1061669640,540143452,197010162,1862378175,464405514,1702114710,2435908964,1878685380,58860096,4089507552,1482438510,4135898185,2802969000,1108997282,585990090,495362458,5960607023,995553069,4232502900,1794065346,3282296475,1152272202,1438116547,3792533885,657415674,1246734546,128121828,1075945371,5832742090,2400570042,1802562448,7154440656,1623852945,172846686,63825510,2437279470,1873131506,496030731,232549066,485087916,3757511915,4559159870,4206513010,4504457403,2091005013,2328605996,7430925321,3199423256,1369630209,3924542214,6341593736,1785304818,760756903,4783256991,1250251435,1895718544,344897164,2030491356,2956158966,2053802262,829882232,4176493092,4527114936,524660644,826576807,1974151830,679017378,4457654208,535695545,8838833112,6794331255,3399107873,792431286,365394168,6124630672,4071885390,2415357210,849637206,4856965050,512864930,2217137007,7657728102,5582898020,3284372952,2370337550,583616264,5070479877,2198075320,329683428,1446427418,2470819676,634143464,3158623530,8461824,3784420524,511960801,4663977912,153929648,925613256,245413086,829770218,2254395438,2871371004,3250059168,6264180756,5679505890,185197752,3118240560,3999734522,7148417976,5342874687,5800985451,2796359670,735112455,5811510936,714469796,3348667049,2687881878,910009496,2479281475,2211981882,376317028,2734818804,1304924600,1430987961,408127073,176034712,23778150,4455647028,1438755720,454297512,741306576,5156583660,759109384,1895847368,2709311368,346960170,339799574,4283703228,922811418,768743086,685122348,5296430799,7338794850,2970588714,1156411989,700969850,2289036870,4490024296,2628992564,119883076,96500854,4988527405,139526190,80093542,2114481352,1211410602,6028139472,1103108398,1840439504,5107883640,6652184912,7222623032,7439746744,4663911315,6538436737,4897599849,4840503184,3059324424,4814108502,3916453308,2221223430,152063724,53165575,3598545960,2511751824,4242680919,1927677040,2192571234,4741113750,3327306636,1565386560,3823396760,1082072060,4862895132,1316570674,567904904,2712150738,4148956588,1351387794,1950347742,2406271824,5902111233,5090636664,5399688168,2132582877,2125768167,1774681629,1451959304,2737872020,4021932775,2884608987,3119539880,2324085768,3998299529,6783058620,3454590195,1932149242,832880370,248703468,3855165700,1977288412,2830750326,1882225092,879100864,5212110534,6839691922,542943127,2998226564,352544145,1816537401,2016678846,247196927,4063697127,4536625194,3312241572,351649536,4977996712,7896735846,1147718208,1058998906,3674714742,4835493000,2527881720,1812100432,786787665,5212943118,3049570797,1727618030,1053983632,1829325756,1539823970,18531354,3399607752,4107035394,1170670002,4486285260,4753223508,3565706504,152430449,2210292450,1263634700,4937604915,3140297796,4677286704,440509370,1969305930,1373993925,74848263,2963597660,1004662836,3949237503,2118431410,4083500323,222302440,7057600528,2735994544,4634306658,1203304998,1228183026,1526156556,5410345080,494315097,2523323812,649550818,872562204,1225029272,981399744,488695509,3321503336,4738161820,2091801796,80812290,4080810780,1789433838,283748840,5163418632,1454989440,1405876284,1513776350,1656459860,1328362628,265753575,584851098,1230875210,171737365,1630993107,597555282,4936052016,4826776250,1551470428,1170224952,974822952,2068167213,477864280,3158089056,3100571685,1959473050,472617728,4782765870,2743849976,916783240,1572031380,603835396,327261116,977727156,4706579244,3284959284,1106044400,428857188,1545544264,3525712928,1770962768,338056299,7523353692,143244822,2367777954,866700719,4858782584,5683537536,311048203,5244447468,2760209454,415207910,229484661,3601922286,59341700,380566233,5763050694,6776478184,3520323432,5182069410,1371998392,2431374148,4873052975,1863439501,435456489,6198678424,4166524530,737898504,1718456232,1487849170,2351248356,3659499068,3497077855,1729371501,1768506972,845213073,38043990,519430265,1951807808,2836792815,4797096031,4782573612,541480135,1079248406,5493868254,390518187,1209853183,775207497,239876955,3136905432,523314030,1890307376,1818386862,85631709,125094400,3467036778,924084408,6444427878,1149218384,3144442716,2195082168,6091508712,6277512744,1213702270,187437265,387585492,520727632,217046455,1767999632,2984581458,5227761582,4979625308,2282621185,1282046886,125147193,2822334610,1275594452,496694910,3418840272,3238890885,100660402,956940980,2128102495,6752778759,1563422144,1497974661,257125212,3374853095,2984134788,1667286676,521258232,4726531000,1733502300,670175749,982303208,1225823964,6484424088,1849809933,2760421956,2292147552,2434789242,511338110,1010601546,3553600672,744299874,903269264,1262727935,1066156555,80882265,1965403990,5381217096,416462370,344367625,657860160,22612070,2638438848,361689893,3937548144,3685014351,1098691893,199381032,5536820232,2266820340,3498194924,1236667892,6218708544,850143336,5387168088,2879969015,3309465385,704112330,6631236945,6528166281,1128034026,2857437600,82838232,1891158106,1931331124,550572996,828309582,346712236,1901633635,997551795,1075752538,467570532,5952784374,1756565418,1393708233,299118296,988907914,981340652,4658937808,3535083756,3613815276,1768085024,6146443456,5568950142,3818016603,8179386750,195590756,196582482,525950256,1155298887,2333461890,1628539746,635225556,6155769781,14426982,1654733598,3662824326,991471630,6668261720,2431248048,3188988970,943646811,1564152776,4746172167,2961340182,2341690740,6148685008,1440444046,4742933490,4820601006,418043088,2703684108,1140439760,6175410360,2479928640,1044304583,795436735,5093581745,1190411868,5760967338,467030344,1886043681,5608890072,3602152351,5635259376,4629209652,198721949,813989868,1029818268,5340649272,134299576,1227651741,886328417,175323396,4021712568,197743984,4853010477,7626480624,816497402,2869695486,8596055358,283036632,702480171,470543157,19376315,2914230801,69594488,4706746524,7111333791,401819412,4004254500,6880790791,2814209048,2597512881,1706025882,746707578,772507786,867203919,487235308,4564010088,1863437370,109390138,3412996272,3082028031,4050154356,127695113,152150015,3252626235,3068544015,4625576420,145644902,288828155,1228898758,5040364194,4679113816,2361082496,2598869860,2816634758,4122945108,4327599834,3561505455,6806938338,2678105056,892912044,3905889100,1112962340,3947669788,4580204398,1529186162,111005086,8095393998,2150267487,982675544,1053591102,4951410919,287291688,4888038939,519520640,1072871496,4145190875,1666890849,1850502528,2579455524,1480240557,1465621596,4227942170,3073719551,64559362,8368667307,5615082284,4574197725,2525891994,1850810008,271141010,5995916224,377203609,703196837,4840071675,8250100380,2533446096,3116017345,911770218,8904175668,1294410795,1902840597,1028087606,429773472,5097746664,244238730,3289131111,559313880,1141286400,678796816,1572946545,6618890997,1112414278,3676327697,7120245969,4065907720,924999785,4825528208,3601274384,4431738965,5669299734,2399226384,189489559,1947896982,203666518,4095115614,36726385,758853579,270624642,2869540908,1743168272,626294641,451829187,537793550,4368245168,2723670267,1697262723,1678220467,2481998022,977074942,2805523208,1691692580,2328913107,5745195568,537471167,5719435470,2799525243,4632830532,1879381764,1098039616,8283462732,507804350,1344929916,338599496,818189624,2637353838,3389640635,3252225000,1172481320,1721794382,4531457160,567334638,169514499,7089225570,387305553,3355001376,368482146,728289198,794001030,377285045,272712214,4109331350,2597468930,1613041446,2710045527,4790087505,2937539984,5803655586,2671345638,972419139,57416688,6110509216,2191544345,2754322488,2373497694,332281860,1213574996,2624474433,1010222720,486822382,1125315318,352321144,402049970,4174751590,955477128,8322773400,2186632524,3596034932,792396600,267373950,672650460,285607630,8867945295,1475227232,45000912,567474985,654215113,6786042746,720045018,4070820446,3682686255,1800820692,4502685610,2813833398,346895568,1545734428,833256888,2929786180,3139205475,5383509462,2496079264,5223735944,5540711124,5064819263,218309464,6965000210,1825707415,1222729749,49962937,4893573880,3884415924,1436300046,2447988435,7587865616,1666025052,47239134,1778873250,4091832985,3094979440,752843534,851587740,1869183575,798706426,6626583816,989782052,2139018876,2247012050,1182215678,1597183400,620790108,467254868,2660732685,2380943312,4614223551,3032156838,2663657370,805216883,3438673065,2335330400,4415236360,7499998854,1630762856,3418183328,450695644,535365984,8962492473,33155090,2045891556,4183267914,580944192,616214750,1472579067,477369809,1947010578,3991853928,4244278760,2865685437,1620020094,950596722,199700649,3879992326,1707519440,837834567,727110230,5416016080,4902570462,1637176302,987150260,2037802268,3579222004,5139133812,7338371112,607198150,5282053160,2712971577,581721015,2141047575,5608675122,1941034280,1682990376,2780316945,1288312550,8565481233,844587912,742765584,728420052,1267170296,4624391877,1113740906,3253552504,4968347480,1550679399,1578934632,2409764413,2312858758,135802631,504768618,1254569088,341562328,951993702,1831680498,626782551,286906542,1550885283,1298555550,4606830036,867519108,409218292,3591638981,3784884399,1554640016,2239915506,72268674,234567485,1231490239,7067042352,1395589354,1010858400,4499820888,97593408,4580857355,284062549,2383160780,4034438205,273030724,935905164,3900675618,3412331952,4544777285,4562376032,8945767683,4982405078,337854458,3860926728,730114623,264466195,218548659,754903038,1922501463,1947671540,236392599,3845765178,2040726027,6106893247,696249632,4142734650,2148765848,2720133896,279814986,4643809821,4286453904,5897372313,2625519966,4340513989,68084842,6484107304,3927213549,98824605,2520251397,517162293,504015044,244377640,4103715870,1774233276,1787357952,3982244700,5777105580,1800638371,1995466175,3699225174,3296059907,182135954,511637359,628331272,577438382,946726287,1364561916,2679648597,3495891968,63277317,2225221690,2247602394,7850796848,479762916,1845906185,5350199514,1119671268,356799902,564851612,2425781016,1802062008,1413739478,481970582,903963047,5345916414,3689630645,409995440,6079326921,1561727598,3567215466,7972654005,393662094,233066615,803240640,1780749808,7903087360,587903574,5157453584,1781155545,1192364834,2724423600,1837947160,2149265505,479450523,5643949140,5470085984,6357786820,3330189020,686803792,1072450848,3643382592,3411492040,1104253980,66539487,2539962327,4488352463,3780647715,3947805540,154039212,2031453312,8685365148,7314196914,6288349024,623537802,2569902861,6605233576,5803223888,87691694,5762220048,4790568808,391959024,3318521050,4578447020,2910754584,5861374878,4655111488,1329337020,236475603,2717548190,82464357,3194032602,5328569925,2323445680,2736867060,463088504,407721087,2762512085,5498378240,732130002,2250728135,171812205,2913656199,389936664,5927130792,4654820895,1523883655,380421442,1977844425,2491696512,3147076445,6197060232,1339966520,483300120,5616376208,3780038464,13181437,903557645,7645445208,791746805,2651675901,3027935504,2645419569,8736154398,3325149760,978097174,2586453405,5449620358,2931977166,1799168445,746667744,1568472050,1241186229,732733692,3353821584,8002863864,2741864608,3884654665,4231263092,2613321426,4683229290,2659729490,2652563298,2629523484,951784105,527279902,7902900810,4106765304,1600962552,165314376,729621600,2064085976,466286772,2671596375,2322592175,305818940,845594276,120543052,2186625627,4721489855,851464173,590520324,1142033216,3712574936,463346556,2482804079,4155117631,250454244,385075304,5436679131,4412435016,1466875522,862938944,2468510103,1965705496,5410778478,2748244095,75822294,3571351488,5882546256,1660839978,3020153604,2850145422,940242088,166992720,7150462884,2001727530,7127312832,3787092540,106678404,3202545717,64974315,6352545456,1751676192,2187060252,1219693132,3753051332,4470855648,3183644376,313843982,680642459,272311072,3199684500,5948889345,3942499860,547017232,1692617380,5776838991,2197799015,457769624,1162608562,7711937379,116133097,1676976843,4580950696,3271715090,1963714220,1335681748,872184390,267446966,956372000,2546123490,80699773,5850570186,4864139448,1402226289,5640946675,4957242972,2535954219,250507736,3455824918,532517040,2086173688,6607676831,3642561296,1988548555,3022389145,350446255,7001633358,1998977368,7098116301,717443114,541366336,730645316,3887454949,1459948140,4919165552,615734636,4454297532,2363123754,2019289525,1207681479,6960513133,3862383882,121439053,117695236,4881702064,3953534060,1292343660,529991572,2641362504,305525399,3393129132,705055537,515708531,3279183174,647179712,3664572280,2683675611,3686783492,1815488036,305341325,3311037023,689651964,7477549038,155676616,1825898655,5823974736,5165914544,451888260,7982800623,8779158009,16236462,1046234490,844378602,121691683,5793461310,4643001816,1385411800,561086528,2329750276,4460041290,142756672,2899100110,1162535064,271295560,1208346098,4978160201,172246720,849225681,598578413,639346189,3512235923,427430400,2803448920,4407949890,3511445425,201391331,2248159692,1629703625,760237956,7163140128,7435407006,1775149020,986217196,1326441608,4193604639,4810459515,560971714,5079913872,1466293034,3204229600,4202778642,516549871,2798102465,1735641021,4213073400,583388062,976636305,2133268992,676252698,1392307515,914842908,476395596,41847459,3627162956,2279006631,17589604,360442795,1811147860,2634880208,1521709812,4683297890,3583820032,221663508,7253402312,3724672070,1520184364,5399412088,896359212,547835292,209902670,1512233920,295558011,4762440767,1744457988,1088376136,75402668,1128593445,452478369,51733792,3251851464,5616968264,3606947295,2041581501,1063242955,6746868128,2660192592,4872545202,6357878751,920362761,2581952208,2213120190,138023527,1608685098,90017438,42282468,4665123762,729521256,772859782,4273408260,4943923370,274973424,2794130499,2874312300,652991733,3998837790,3209786307,2271302820,7286820624,1025434326,1927893715,4977318875,3069211506,1497805141,92513515,5070098412,3241160922,542159392,3858444540,1202896008,1783463316,3268360656,2395218032,3122900550,500049524,7398462312,8960615424,2330040771,734212344,2965963805,4712001195,2839897625,3822737190,6389021754,227127633,390806624,2724044652,461406818,1557080730,1417593120,1209976890,372722928,1503191061,535447692,719275761,182393325,3631097856,2837307750,13881638,4271748992,3462859000,3638276075,2498378795,2885999574,1116168718,1582804162,7889744034,3633443280,2912939300,4971947232,4187127085,158866368,323339019,2712428640,4005358880,908416880,3461161494,2587815288,70173489,384882810,2103212520,2945448531,3166411236,4912050789,27607242,2855877954,3804454926,1872788226,955586396,5825729672,4237491150,2128716352,2517213734,544100900,164823564,3265281229,5231114802,1746513138,1653014991,1129546605,1547218138,1613305085,794179238,2115314520,18775615,3657004464,840335367,1725116492,6822594618,497604000,624723659,828237849,383408495,6209825062,119411823,2285614440,1836840018,1256803864,889798368,2545999420,174623929,8076885543,926564681,5294392050,1245580216,350711311,4811620250,2846765856,2949517008,1665011016,4898886810,334710200,1874662434,1689120639,8292062016,7083407400,5186348994,2927148564,411810308,2204141658,1515269960,1041317184,1243862490,1891896944,58046104,4130321310,7360177280,881145480,1611286548,405598026,5644973168,1603527504,5722657677,1322057356,3107464965,5998090890,1188884626,2235577225,2293060770,1231571396,1194035565,1729447622,3201319600,1687594611,568469002,1404667360,3027402475,4856928432,4015929282,395961461,2982552952,99532384,695770453,2746619472,6035720094,7727212773,1463665200,8533684341,3902703508,1043483546,3782813928,4687643863,3734714332,1220520900,3246564006,1271513454,3039588052,3470259490,1157742270,390976716,3934701819,721591086,1299551612,4469219940,1947068793,3415519015,377811954,1595379117,7104818208,8828728443,2100982768,1501155866,7616344869,375710501,4956727180,359616534,473535902,324564233,130745292,2146957716,61249086,1649583052,1763132250,866412710,1517962494,560972766,502202944,3744008634,4098968455,4193068332,5888807370,398376188,1472523944,122264913,941543583,3321020584,3947853108,1143011463,8136947088,1480166685,7376420128,724542776,5438547352,1027771710,1168314080,4697713454,375020039,1519060772,1678333490,3353901714,2696986242,1790985008,1063652358,5400118356,557156636,3426204836,77593825,1001827778,1145811050,3403102101,4681287330,236939443,334822434,7756866048,1120678044,5418202374,4350609216,488986068,3976874920,2360632671,2382925064,1701722583,4273875955,2435395085,1230611140,2778864162,2452127168,471406966,4146650826,1103436960,1793424600,2777050000,4370356938,1465724382,2945519436,1245673710,1109716514,1727094892,2240876259,377751987,5991378300,1881340864,3467955216,879968162,8178989328,3852714968,1996411930,3102545194,885013748,68737780,1875209140,4891176810,363114922,866926537,635772978,1491931308,7439938656,1915625970,2586634995,5476354242,1198495704,4413037495,2874053301,145207268,3257802620,1374778730,536007800,17920512,1997706280,756355998,6741707938,2460366615,3148385338,193526854,3886690896,891999380,1408683598,5188696098,1891572708,308736618,3645783360,3812175860,2958068992,459010128,7554734586,972064698,1438943286,1515701660,5083410483,5800551966,175229640,4083336887,1693973740,1884980538,3075974488,1173612234,7645652100,5819588224,1321929363,4595861424,2193267460,407353273,118544471,3331503260,136431134,4128051420,310770614,745877736,4501738332,8225840196,4386270384,2450011168,198163029,63747444,4333457495,2187841740,954632052,985253593,234885811,1290069066,6810212952,1621601418,8826663852,37607481,1326075204,1109326824,706915446,6777926838,568157580,937505264,3984812152,736249985,4685719302,3548766510,2177925336,743651940,1510383915,984085764,677009064,6833206317,676600723,901274589,6404962504,1601391232,370218695,1186659536,564597603,3181637648,1176731480,3430101220,4222261266,5283108480,2473153088,4897127,4916233930,468825276,884455224,1807082244,310994161,1464400764,827159584,765041299,2170749688,459031564,472922556,1744314534,2445770985,1229209578,5574739104,6209357952,1997813363,6743875122,1128272490,3781767160,2742295101,7415592736,6420233331,5525455902,4984528314,112643224,2699230650,547983210,641493404,3109673312,1817038232,1651318895,560599728,5522539872,1938260716,4864339068,1134725347,6955626600,2311524175,1928266251,1907183369,351967648,1802787096,1001885874,728625954,2509008448,2922260409,5231635752,2464049043,1062558126,417831345,7661148120,4218332967,1315160322,8892715239,4016695690,274302816,128821616,1198886424,7575803728,4246519620,2177049808,2128909584,2619149029,4407843600,7322766384,4887134238,558041270,3851505208,377919762,7908387416,268163658,4330426888,1887138992,999914976,754335389,285194436,6641244036,3441851600,2958073636,4772840569,389938588,997376405,1335383348,2748562064,1630714860,3563597644,1805251968,5586966756,5776005984,303976317,3546539832,3680660646,682359108,3832151265,1844384436,4371030115,3245258404,3267011961,3485501152,1881079236,3779950545,485948232,1464281109,2729296107,35425904,5567180652,1036984674,4619671008,1639635897,1965461260,833081770,3461302784,877249878,486971040,575645445,956288061,2083823766,927748916,1276383946,4597121130,337726977,6980685572,277334927,327403195,113973123,1139602680,141601220,2752642816,6956991342,2855883816,377420955,1793339132,6269389161,363852180,1711251838,1465941804,3774863545,23830606,28646346,1616854846,3476403024,372895128,446649817,2838227460,88498638,1912608999,4865259640,2487622415,494875256,305518514,688874250,1284571535,1191121352,4449031640,5467585326,3768272408,953468170,5727008520,3579264354,8569339479,252356008,2567880150,102439152,1398341356,71302679,67508235,923981664,281165717,843708036,4615026285,424664959,81366624,1886187681,3753054580,5487142368,1716034444,4152538377,2021976420,6199716168,105588008,1282729216,1421696716,5472190908,1598054114,3208570728,1473616985,3274259548,1725694704,1515273000,564208602,1478755236,1112871445,909315732,204148460,827408676,2724398852,691108902,3625984355,1008933848,5087619153,4200814242,2247028542,23370801,2290408488,2592105295,1531902370,718951646,3983688288,7680462516,528309104,3345037038,2428763082,1524518838,2660811620,2266529871,682836250,2142972084,900130264,348810912,3295511975,554281530,470385926,739546229,2567843492,1310319360,2366290804,2491877088,2725413656,5971972741,1437913394,2605014268,508171100,718181988,569602440,5252208471,2652847290,5074842227,923061030,8467819371,1558507398,3155352459,1146017648,2877326292,26840670,498920938,5811666246,653960888,2384106805,1063690410,2213235333,2886930915,3298075372,6466079152,1927343876,2804853200,8490134268,1139067836,3007496888,1534651222,287310317,5521216560,1634528760,1616938380,5226222864,1094413272,2228092956,156751390,1109540278,536141442,5315980986,96424890,3829305627,548785894,1108990120,2082732186,5545540332,4248129852,94104477,3606853610,934669702,4155508269,4629983592,375062260,728891769,4648621505,4929774822,2904665624,864785200,2909036992,1927896219,569884205,1912256598,5839531896,3296053050,542031130,6446835633,2695108596,2635512895,1757332794,592033640,2379868808,3894040328,555796186,1657143462,6036453224,3938807515,5158115296,3271022664,817783911,835258431,5951305116,4931791590,1219463775,959665290,1319641200,2841084096,2999664858,2006662287,1876737304,933787217,5150684812,122535120,157221768,401154746,1796434664,3513400240,1530313634,555982050,41028690,776792362,6664385756,1532612493,64839690,781786471,1856333248,6620636763,5956711736,27652143,4888138090,5525216662,1074801188,4688155422,1194515166,3469361250,4522692198,3260305512,2543805540,2724095135,7181335176,3822732545,4204644570,1484644845,873648855,3064629852,3634968570,4873973795,761363224,5147422158,2078363718,167210290,3068531469,1611595876,2970092424,3159090516,1738603153,2531992890,5982896480,3742363940,994764387,3777133790,577975757,325058285,4384342696,3171729862,5141161404,2578053627,751136934,7830555426,179416253,3079778944,5865611157,5764290399,1720020208,1508441720,3549309988,32764748,3368515352,2637894495,2119438447,1108393270,553751814,960708105,7985651736,18316576,1145836956,934352638,511313688,2391529074,4119866005,5110945686,382014647,104958556,6827014144,1071591184,1204354448,744387912,3131525484,1618136194,399422280,206222674,1273668360,489427106,6042626080,2908127028,1661244752,205184119,7077337232,5237304072,3371956235,1632577257,600653157,896905121,409148190,1184532392,1553742968,664782354,8104749507,3715161336,262346944,1619495574,1942945785,1431730440,1138920232,1873088922,1865137630,1951982664,3473390109,4646025945,4253629552,4671456192,4580456805,1197864876,266802012,153367776,1843670878,764741669,517195910,137543988,639208152,3824037150,1463251734,1084268065,2968808143,3548211645,3089615680,533927379,5195155744,5807319858,3415142982,167070918,1629597818,4242657930,1789799928,965053881,2565809106,1274068445,6311306632,2136844878,2259349155,178247456,5018499878,2893018768,478437554,2454087412,966378318,2280724545,266791284,769964688,942321157,375391211,6244419937,4741412011,3136400704,2027621025,2178963621,353482849,3894283856,1529902100,6625826753,1794141820,2740796334,1078598478,4304472402,517035736,5117231686,1773947133,4021277768,4613439240,3037669672,4832505734,1912255784,1418927240,1104769122,7300402792,307303836,734148315,950524033,2472594312,6512449656,1402409502,4216132986,8858374236,2287832748,7288661142,741121927,918410115,2266500648,7558163028,4235591405,3795143140,6096006000,1400544155,770198520,1044645186,6222488643,155512155,4725699286,2128804419,7478438968,5424003193,1068373530,4170227661,5520657065,2415635117,5917448040,4843086535,1431418325,6891998688,191000298,531276505,1850216346,6122404053,377039198,5200264566,2432755848,94638245,1807281824,822782280,1750904532,1404276656,4199910265,1123051425,543023496,1842353144,1846719694,324828114,565790335,1665302184,2499091581,1136963505,5863735654,3297899668,5127150161,81001000,1548203874,90318480,199490560,2748137625,738463154,3802871826,82731196,8443630467,1754388038,5079674772,6130078352,953236482,4687196904,42770489,3423085827,939183250,3057015906,2537591404,332039250,826397557,1436596356,6777660744,4690741545,3431705688,1475761614,1675199238,2918441792,5939178366,675741560,1068339516,4658919202,261084444,1094480373,1215725373,450889616,961834431,2452544040,8796891078,1850571090,8825630238,2032918374,759452355,2494691570,3432119472,2021176248,3683175345,2490891156,392295036,1349625450,2396190366,314350540,2656627116,387476168,2613166764,696045078,1444859528,457239800,544124565,2224260369,4974598865,244479530,5720773842,1105419498,3264359672,1903268196,6966198640,8336532744,220778744,3181526756,4540813165,4794343320,2223906669,1878708986,2049928527,4840011528,940269882,186291366,1908675566,7163600904,2130552944,217007760,252791982,6768092107,6516503226,3423170240,5022176607,4129326397,2214691800,906814280,1138185696,1160861360,4490861265,282297354,863648460,29838066,1496666922,2285039088,1528640274,3521731455,61550142,1924909320,32946858,2819146887,573692339,371951922,821475730,3095104656,6520829098,178519670,3431955948,4790462649,582890483,1291543940,1411681525,195018504,753015352,1498151545,2748542070,2373796240,1694667928,5801935168,1332618159,1633353160,3225825638,593166322,1092310048,1815692942,1878203440,8280097002,1183748048,1623765930,4482064890,2303424616,1696529896,7280484885,5608298990,3755768256,319771100,1088718537,1465968570,6634162521,6936755004,1898864990,15773266,714059645,696993939,3411500445,913434028,514301592,4969659876,5845366429,3394727768,1918260588,1902847576,994259016,3914973296,2587582815,1727146101,195127499,38002294,2653004816,163038582,2521406223,2039514228,4700620554,895923411,587688180,2939818137,5715776520,3938190560,1671158070,534121579,4923283638,1424806548,4444137061,142781520,450439665,433257216,6865126163,2321883046,2811088305,5327184816,312315144,654223304,4160993816,2631836160,2808029020,5126215384,851078236,1360129896,3195698520,4816444782,3576334292,2681732672,1640442638,1283660165,1078510670,194368314,3434410080,396935337,2390711104,894327302,3846420036,3631907248,4759453360,2245244240,3685028214,1832550999,774770877,4209268176,1627336986,3120518346,3013427160,1726988288,1400874180,8535511332,685807268,157218774,736129721,1354910805,5346665848,1707292935,163298863,4296706232,176772408,3913151922,1571751714,4224672416,290702969,407566792,7801020369,5971699520,107943409,4565500926,1544625069,2972859660,7530141321,922217274,2964721136,3684675155,2927466388,6723708272,640206255,631309788,2494340220,4916557515,2252372988,285214884,3892266873,1404932526,282767156,2647835118,3752215146,3769099392,4360545828,661175624,2911573144,3646790840,2326216396,1574536264,902271312,2968675986,927417232,1845193755,255329942,2869126212,559808599,4058006379,2691223940,799487064,4077026646,638626074,153784180,124797305,324683290,4265935839,3826606210,5992089360,2657169536,2560804245,7200106092,1186132675,2263014432,4146083284,3883190552,1245507192,1956680960,657551232,1256509890,763696120,2002452213,4134341946,1674607135,2809738020,1869839108,110777248,4996644390,8303228613,40703775,979078719,2629050510,521732484,2909715825,564439932,1421603817,1729112318,2703237438,6234184752,675053916,899997599,5583569724,2726814972,6325292808,8391381489,6814029105,2787045255,6409528811,1201997223,4733336678,6711226224,2958648140,2373065815,3478025719,2359832979,890840097,453803863,948561775,2273295597,1286796512,58471932,680508124,37899678,2478658824,1407156510,6073331712,4761718803,2482410291,499085923,535569527,580884131,1497160368,8481381417,2346537920,976687299,577904024,1353150310,3723040629,1876341028,692712904,2275856766,6298930824,144185238,352114383,1698888784,8733649968,2321653901,6578714256,2150675355,261197634,320671180,7435904672,3266376967,1652714328,180095608,3551547832,416988348,2555646096,1941530472,484460220,3280576326,2261022876,3292501010,495450613,2797176756,3810135216,1286816585,829107536,5874378816,224190654,856384788,1460894574,3369550300,4529695340,838008802,2213611752,200687824,1361462796,3840725260,2461390542,4630264254,3016381160,1047321090,18509344,1785248280,2454351025,1578250126,437300073,2423832030,3012793288,3256335270,3103312770,149419965,5077202186,1094003330,137510245,6317099676,818469880,5661331272,4685945176,2256346365,1245019248,1416127175,577000786,220675341,697369854,112806961,2424551915,2049460254,715938756,2976325389,175413168,130646506,388178790,5293822664,341216680,347058048,5927794789,4978895240,1973701156,1515031398,1289396128,4911420,619674264,80132685,2718455664,273412164,3308575056,2572373106,3821632787,513084836,785043196,7012141560,1639178740,7574901129,4344377340,6514475192,1003743433,1107515644,1392029998,1187407395,722599030,5460997527,1707451464,1979738800,2077436440,8026957512,4283781464,959319836,4876112724,3276576524,1239396146,2648208915,972079367,5064887556,3439953920,3702100668,5575790584,1554765762,508619512,103737740,206451420,3738191555,1367211979,681594130,126858400,5889919620,1581393030,4501006195,779278752,97267824,2708822616,7667120312,4518245284,1822334016,2895185706,745330960,1558972188,1904335130,129858171,1947260864,3573912464,3369547741,6863734992,2943282060,2363938737,2470430583,1591257066,1928788520,855989458,1248058294,2068904472,968424930,175363896,609067824,373059363,789540568,3060833675,2485286328,1489468905,1562598303,4797138104,552176838,831780690,935652854,1089569016,753421905,3857814405,86282300,1896440097,48327768,3302579322,1208156372,86910824,3682725376,2223857892,130416770,35728825,888538540,2808195796,1667749689,2845105888,1157919068,5713046586,3901112792,792283565,544516240,4359624865,725230272,1804422788,147914760,750752308,323110580,31700888,6066820496,3549289806,367669242,496189744,806800960,318078625,853823788,248471508,5388015294,1023026643,3553804996,2202228848,3478340736,6013395367,284607741,467292960,3889677324,1264283530,2317128668,1384614057,2175545196,3634364166,3484756080,273414190,5516539553,931602564,1318891554,2187654780,2117827495,2766728928,595420292,443404500,3763587508,657307427,6585866231,2304692616,211766313,2643147936,897362955,1225225230,797726106,6958406349,5031976369,2920786704,796250184,6586119728,3953060934,2843904996,1342652988,1797373252,1549854365,994339336,1318187248,2761780182,1515664104,6189635512,818936116,7496313456,16041025,929035669,143391282,3886887165,2990779799,23426440,890503120,837042356,3862642798,879129299,7762637480,2292391179,1332220183,6408023536,5141939400,533625445,3538826826,2797977648,189163416,4567252475,11450788,2585753307,1016983023,538400493,4132404608,2322495544,1781361144,474539292,7648784784,4841931860,4042603524,5877556740,563049795,2750700205,326650635,5274915976,2598650385,5594130078,2980496142,1224559335,2892164272,1465602,1963740960,1943483181,2752198638,2139849430,2847081874,422892440,1866758103,6404684384,3106227668,1027198998,1581965292,266192435,815893116,5851418139,3314774190,3804143608,2976976304,2032600878,5214702064,300646702,638119235,231284078,907651542,1618577829,4445199996,486157269,4061258290,5284114864,4811239518,4406676910,842543985,4241598723,1283218112,2625336396,8358646482,283361877,6657491504,2848754205,1869108768,1571871216,5790523032,2617092268,642618249,5573861573,3560479536,2960551384,2549453244,2083115076,2649400816,1967133765,682920072,223379532,4685052440,3876713004,415492790,680532660,138029348,1366042512,4244594142,2797947576,455254355,4575147318,3376060288,2374850544,519171192,1379405244,379510354,939509182,4183872665,3279246904,4926415170,5475061192,1139823228,1931890941,241029252,8664037362,424875877,2857527255,3512331666,2565205535,206316024,7817499776,1156274658,4039435608,4516640232,1680517484,5984668305,2875195668,6702686456,8876453553,1099342482,3431107960,5760269838,2446190054,1897208175,3522966780,318054804,1196754678,8819427195,3643885860,3974944592,553983141,1130332368,3327931208,825212056,1737537504,1243028283,1436092176,1773599470,1466311184,890645759,1087496968,4785712056,117154071,1409510640,765939881,2231297550,489527468,2576372020,1715347832,2760648104,1311784878,3463689006,1087903085,5179275936,350376640,4610338960,60087425,337909944,1715047506,308405165,208384614,743733944,424947030,802978938,5043261840,58883406,4498737505,100937925,8663899302,3953685890,763905123,2141555868,5089321053,1256670336,2041199610,2683578048,104092722,364005507,1632737548,1067677296,89785264,502718402,797939445,3195198984,3394645925,2405718264,2403660129,1407225174,1263233526,2804506491,2845376808,5584684273,906408020,2002788804,2589201531,214791276,2972429243,3584646980,718568072,909538562,553631210,1471985960,424496592,5924430694,2599621296,3891846006,5821308592,2531072958,673090526,8985114810,538080654,2201411784,35443614,3583326775,6719945,144600399,816399696,1887102438,3970624025,938225060,835646788,385169754,7396602372,1036543563,4090222115,1258729164,2060778908,4902192390,5217831090,3433174506,3327644992,2887853637,3797659304,169401735,3022363135,1072210128,1290099105,448024476,630847385,922341213,1941463059,876706500,1101022348,6611090088,7550279496,6317080448,2717296028,2830205745,2717805512,6077536544,1104376316,671788051,2207580500,6707543517,1255167453,2616888610,610655742,774350332,6741946784,404775138,1689348408,5034427160,1626655020,2128707534,1568495164,1908522574,580327716,3958875452,1108102310,1881048115,84346768,1674490656,573344084,439389750,775176118,1657541394,4488858864,586647356,2256428148,1189177572,1205436911,2938071990,4939410294,282178913,2936534495,585101320,4262308116,3827380986,4366303320,2408483268,4308396882,1594521012,1004238440,6180945708,3742486940,3687454377,5809062807,4970448999,1950853602,1369873788,4358606592,5162144421,658929612,1477111976,707905247,211453956,5378584160,879180016,180571679,1784031885,3996615840,6423841602,2914830276,2207402079,3109694704,1064950240,1493588830,2988023990,355503896,706658693,674036364,4044215912,1572221103,5813831058,7383844,3095675752,2175346800,3141047693,631176307,845447460,2458672473,908226252,3617759696,635921900,3985651060,3738591590,498472135,778680882,55237275,813138780,202078904,1708033160,5043630168,2950514079,745873499,770990132,643806511,2115768702,1446006438,13042363,2897932926,222381522,3007864796,886184096,4226407056,4555800564,684520096,5764106763,1107835629,532186890,2092433664,665031775,6700441368,2215384482,134605285,2499637683,2913943104,2939427195,3737069703,2741661078,3856976520,3407071680,2617960220,52646021,102125398,742120169,1575843678,1979165888,6125538930,1341371724,6426085696,4649669773,3290870550,2873293820,4945665222,5423193041,2154913029,4615309465,142651941,2400388743,613503968,1552047339,5323211496,2997035090,3243782664,1877597016,154575720,595699650,2479107126,7919791432,2445892539,687460837,2225920986,512180330,619642089,3839599980,4007402676,427008040,162160671,3452201028,5600651216,2145466881,1402156520,5159919328,5654311312,2546032020,564871831,334882152,5643957432,1313597520,1355513440,145609830,5718559903,7827539193,1051155875,289614639,415469406,3556097656,4198147936,2992897315,6746697881,3473229816,1277158320,63824613,5956551765,2782080198,4178332386,1104801978,3192683008,3925684341,750748080,1737045224,6108477633,1991213784,3871852924,933723438,420610347,6833948751,2123236400,1320941175,1966612312,6031128110,7192436499,2275670007,395155522,785613087,5880265806,623056884,1908312786,70912272,2035751985,1041095880,2565685737,413044284,4349818904,5824432984,1515294984,3862489432,443166519,1379604519,443958762,3874413592,1545563224,2883526065,328820292,242297047,525719947,1241617260,904587100,3003452225,1830439356,2656395344,1585436594,4682286776,1807993275,4548952420,4851075545,3726183923,147197640,1837099992,1572631376,3471209988,1999635388,662553580,279226840,2131600968,361275932,5755759940,557350236,1399663452,839459786,332285962,5434305904,1885820520,2977369360,836967115,3541325095,3774078930,4389279669,1358655728,685837887,6641828936,942401028,5047613120,6958263906,641393252,61777814,4090958960,2993641098,970855884,899268228,4280271468,698419412,417936850,2443714790,3978232040,4411940796,1492307500,2601526275,1514700830,2206350516,4340182290,6822535545,5731862913,8446871673,4516797085,2569912146,1862357088,51188571,949675523,70359156,6096379016,2164632282,2238455804,7787893712,3739785561,2598940989,4662996870,6607954312,833224212,3604133865,1029948478,123342941,3094877584,1404917022,6673233464,5069874312,1256952174,1000521000,896595663,2614366594,1236983532,1664863148,5797523158,91711788,205006975,1157325617,671784062,362616682,733574341,89414044,1874624610,6363937755,4276472910,662626605,4680831316,2256701864,572411918,1280918408,87677496,805073508,331333122,1791217416,4000698544,1092014920,1072553778,3039267530,1623661885,8233860780,775257105,2152355024,5034451100,619513722,2756864109,655537513,1014328490,1358311680,1444706816,175551564,907111926,4935876336,134723684,7256699982,57594036,1044238872,942083492,254886552,2664070590,1476193976,1093006450,732557402,3142461000,2131684376,1641751772,2253248081,1701642348,485468619,1312779470,1546379140,7236538965,4582612237,5956473670,847834701,1724673545,390207136,3956738040,284917522,631412384,941109784,287819741,1429263710,6956026938,1669012080,4992745030,793768792,3807228400,1198812300,18510510,2537307340,1479275016,797432058,423415964,82860444,828736595,1539634976,2573947473,1548295986,585263376,60123075,6067842564,2915611458,3872329664,1383243440,351578390,2740303955,907061980,4681605048,1453381548,3589224304,2637091416,2171494713,4271384556,850164004,5004970250,3166613622,3907891710,1710151056,3200529280,1445947724,809720074,1827127269,189398327,3827674235,881593390,884689830,614738796,109244490,5238840774,886875520,4742555795,5456183726,6068386737,57870618,5225091786,7372897578,1314996777,397750760,201139842,2700018544,159336867,708910584,1562330502,1037968570,6377552314,425842498,998580711,1431806456,3588626695,4990860021,926302583,513635736,3849980056,17923762,885424850,2371213056,2644865757,802587856,7263680202,6858164677,656030905,2718621836,734306663,942105266,4196293524,4686306702,3326456645,4069248393,5093896086,72667508,5287345384,736827102,326686515,7748143668,2304213611,6346732945,4698298248,60907764,3678756046,1649356744,2985897515,1671743360,315674528,2989594866,7340618640,224390184,7668184280,1647269712,862577382,2264942056,3834625468,2568965676,854559290,215186160,3105834214,591920133,3552222618,2026781289,725391823,4897704384,941552322,6149066872,92276031,1650275880,6673017520,2806650055,2634707472,903563374,5566134756,460808357,6785836337,1865569700,567902060,3615074764,261163188,661221890,249580009,188661762,1243722224,1955654706,128294728,3871119910,7298928560,4810047,379145344,4837439190,2012470122,2652400476,14488203,428606769,6769202111,3906573595,2835898375,7111169100,3024248796,3912225568,5082367409,174063612,5567189504,5306848986,1120907920,1732485516,1432428416,1838362477,516370796,2478258640,2163207795,3101747550,5052507080,1409524316,1717857196,1103028676,3994452116,1812657156,1548933379,73965657,3353357250,184112620,5418244926,394045323,1535043942,1327106696,877296739,4200367975,3152635157,3006633880,1452911940,2413708165,6674531352,2347136312,35132664,4554928835,817506904,2881062039,2201255850,1586941146,723230722,1270448030,3088033752,1437414565,5763018732,782642425,926729012,464680475,450296694,6873159762,1639538220,4419740,2709866285,1431951690,1596937995,3523183811,2982204504,959412782,893896291,1774728069,3143708640,43263419,1667817081,4887903906,2144887290,3746998915,2078336841,1384546586,137984881,5954431488,2767244274,1545044982,2955166095,4142581961,7983338288,30097030,5191941256,2302976088,5178320464,4990305495,3563439822,1374002880,2339073081,233335350,4879070500,1278104384,2322890460,4387722064,5410238358,1699182,1716770576,3665532606,3193720452,6412503146,6723184112,2859511784,922799133,434908512,4573753209,1018993744,5769717848,999122235,2699710545,8068686786,1973542146,2944006188,1204131350,284607548,4036479167,1164770292,6787039944,3862643949,2117179172,2876997176,1729220265,1728990603,3108125238,394442060,1925251548,255478500,2646496875,3338215930,403960446,955287232,1974740940,2880675080,1969646936,6049632256,7993609884,6815992446,8134282827,4070351670,2767386318,861879621,1366720512,630301056,153239505,805043996,624586176,2599957084,7865882856,523617704,1792933428,246469106,5256310806,6361676672,590512147,411892998,3587759294,1522983081,5146615410,7989905016,3306910019,15590519,327978460,4479452873,7003458063,924888630,1470910966,3268687584,1670962505,9688222,3039530862,3148067637,3753383160,927163392,6518756744,2205347095,565772892,3836054424,2838242538,696664050,5628773276,7400902384,4342127994,3434547445,2212227843,3097881216,303408504,6905174272,557303890,325657209,6874037198,952631137,4412495230,1007078212,5969406648,606133352,2647989844,1960012728,1438925847,7505784144,4378011219,854387562,2313947464,1695632540,1500726024,6778268667,2197646412,1433076756,405864190,406624196,1181035846,1834639344,90280312,3318360078,17550984,6137078912,5240646150,4487746845,3338949924,5186061639,224848256,3604574304,2793593574,2684721906,1579473470,2192795125,2869444101,3253828557,1562516636,368806242,2059843923,3044657605,2532618085,6748982235,3641056448,186710489,1236883510,5414886786,2697737715,989878959,708118656,2924295117,386896951,975824083,4559280790,1414823896,586444680,3854866358,1762987260,2910500584,304281440,4819831219,892976352,514105977,891735067,1056062010,4373395476,6559217415,474930185,1821845684,2341601960,2248172100,307464330,1596903734,1024198712,4383478824,1860153575,1592571982,5737775162,76301292,4060901523,476796898,178449783,3842379185,2478258162,4307539146,1403604192,1203793272,3474254350,420899024,868095615,7888268456,197747655,1137743968,2853246066,826561168,3515659424,1706637000,237288558,5651167689,1330757860,4818919668,4731758502,809806834,2175312024,630689343,2152514000,429789501,1032656517,1376084136,6923972272,1424868704,73020308,968000696,986866344,333833715,870557452,3281553765,6364671714,1950412725,2596325432,6336704223,147897495,1900837024,2192100120,536425200,738720019,7522105302,4519785130,256902048,385547533,1542076585,4861885435,5288661917,6312027825,1196332543,4006382748,4128822920,1551353520,2231984055,2908313478,4722057832,1270180174,536660320,1541494000,168119715,777827720,1092044408,4017508904,3876050772,4366616742,4370720991,107432180,271108450,1143246954,431841402,5483921454,2211781255,4177187952,255318230,4819912695,1118555235,4501212928,709991093,628164192,4892386471,2780754326,2306239182,1070337264,37981921,1756531050,761775262,1008733957,5156295648,438623038,3182044645,3792222228,6210855450,4765970006,647243520,1539017968,2356565751,3257538088,3330448461,5839445556,23520492,996084237,902301804,1969190186,173146070,4396334982,2227416272,2503300476,613854081,1633690488,508288618,2404094460,547710750,2698672417,6033267464,5395243416,2402130160,1402427638,2549539128,1066880578,2423014524,1255202560,379745940,412077245,399376775,794219887,4325869835,1121802336,1132246452,295229676,7400354769,547930060,575430162,6073984845,2229453462,641912068,13010277,320266176,69034380,7894395800,3702850920,5723003457,873889555,467938443,354134464,2766258765,223468468,2794875520,759726022,267213048,5263334880,2763260745,1463972565,850550629,5218502639,7375464552,1253720952,6519989903,3365561532,28636851,2987701728,8664139746,1840348700,293256276,1086468954,2514783145,721271070,2947176570,6331188178,1773226626,246811900,1762753500,1494605496,5852539798,1201449120,1103463004,1829870062,2196126558,129725598,5575555068,2454613056,2737859181,1228499840,6869038778,2701227162,2301930603,1851597096,264075945,894465756,6449155425,6257281344,504699012,935134771,1084848906,3680958352,428523521,4554488390,6430256109,3133876599,2536088931,1298662299,2909190027,38839707,2583933570,1432640740,7548488560,4117891936,1996414814,5670617316,886292211,4558173965,4714452963,621958992,4507988454,1959871470,2154538656,580865348,1140553452,2887437936,2590301856,1483506622,6040839402,8823067218,6812173165,2766327124,492644538,1812614409,490660120,4166353884,665632141,428533194,5589296032,639969620,6633059040,1976106648,3670525712,236532798,1893024220,6788579488,5144346466,3101486976,86579013,1634996238,6095608470,2884715811,9420892,1035113932,760834364,929399979,811075485,4349953716,217105956,2796781128,1193136624,906418971,5583777136,490308864,3176618304,3704813232,1269537963,2561818194,1156307784,244145530,6240958024,5591293040,1020743844,1391422781,6581276121,4439978688,476711710,2924052096,6166868868,1966443552,6582500799,4452594489,298119384,3614926416,829605492,257453955,2511451025,3320971948,1134844560,4717408380,315613620,752719885,4844938264,2045602365,8724864663,5625417663,4105284407,3071001771,1508421435,4060417529,4191076309,4969962473,645451659,1811911746,2645535445,754103756,3907220930,681412408,218755115,813611432,953547766,1940718900,950062745,1775091669,916237180,5082584211,235319092,499679289,60191840,1766536576,968531706,163305292,2650067418,1149512598,2647999270,869740448,445509556,1977372003,4709639280,3148627440,4286714484,4375042698,93132679,7689565890,1758397838,2673771004,8235024858,2212105126,1098394180,2228355730,6596237160,1450016298,986877822,241845493,4467521118,721411607,5492201876,875885886,6594638139,1487991840,647807586,5636553840,4072140045,3932460995,1072328672,4261516086,164881752,1330660202,4081938198,1297724848,80586695,1097968445,2877169379,474843318,3149322400,3737115840,2587045038,1983897438,2459214989,1842305004,343433611,306198780,4634378415,4963496075,1062783009,254401452,7867475073,306028807,2441287564,163462587,1985061141,718134860,4549910915,2450614735,849568458,8217187038,6131252565,7294832919,4384825648,536470578,5628021938,6965883729,4407316470,1468960705,2082114844,25910944,526958142,493993580,17061485,2976195308,6798471129,4641382200,2889408720,1138635632,2469284708,1006632972,7316851304,1034730954,3583424005,6015496545,245208219,1800227298,521959056,429281198,1155363660,545582558,822364080,1975568433,2647687320,6661883832,1572062259,7222432256,2360608901,7569178416,4808938900,221678292,2101852587,3041638915,7091383824,1437370845,1319992100,2885663308,7823103237,4506969150,2126068588,883829856,1308991900,37655724,1372033383,3509534184,4273205020,759526608,4030468050,1472968430,5697860312,3793193908,6326140023,1830090776,2598740964,3383905284,3453691900,943398053,1122047304,2596207860,865402620,2244094608,8490582477,2072215140,1879947380,3898111446,1601329429,1807468578,2167539376,712232539,1472968430,4836561660,189881652,3418564016,1169844728,1176028614,112967172,981743925,662872392,3720620029,1001548700,4346168465,6492742443,659996050,862422507,2659268934,608327783,4203705174,886713168,8656090020,5676883812,1686149215,2708412096,1572062259,1665470958,4236299712,5268182488,657891264,3273495348,2310727320,1931765391,2087836224,1200151532,653888584,2005165515,1535753145,344910318,3658425652,2684354592,4321248239,426988362,3852544960,928276440,6798471129,3720244135,14624130,1111485555,702610856,51821888,4164229688,1762752846,979403660,7961009976,2412009402,1341176445,1096206412,2431610973,1362500570,913020782,2265515888,2940737682,8189839647,1005388804,1985061141,163462587,610321891,43718401,5244983382,169600968,1771305015,7941593720,3604516545,51033130,3090902499,3684610008,2107898562,2975846157,2155870865,467139480,629864480,1424529954,3699217773,627410540,32234678,648862424,2040969099,3991980606,741967884,2841010724,670205420,786492199,904920010,4383986320,1511551034,595196736,5861900568,729904905,3923001340,721411607,744586853,1209227465,140982546,2175024447,6596237160,2228355730,878715344,2844135162,8235024858,2005328253,4395994595,2563188630,651928753,5104216481,3572262070,629725488,4709639280,1977372003,556886945,217435112,529599854,1532683464,7066846448,244957938,3389860971,1766536576,22571940,1499037867,705957276,1129463158,1145296475,1183394446,570037647,3881437800,4767738830,1423820006,218755115,681412408,3125776744,4524622536,1889668175,7247646984,1506053871,2839978556,4789801496,2320238588,2011228580,682444838,2345876804,3750278442,3877717628,3682084257,605617283,752719885,315613620,6289877840,378281520,4981457922,4018321640,343271940,829605492,2711194812,198746256,3957861768,5642143542,1966443552,1370415304,2088608640,3813693680,739996448,6581276121,1590197464,2551859610,3494558150,891565432,439461954,433615419,5977575786,1269537963,1852406616,2779541016,980617728,3489860710,1208558628,4175978184,3262911316,434211912,1449984572,4055377425,619599986,6086674912,3105341796,65946244,641047958,6095608470,817498119,230877368,3101486976,4409439828,2545717308,757209688,118266399,3211709998,1976106648,4422039360,511975696,3493310020,357110995,1331264282,5555138512,981320240,3625228818,328429692,2074745343,1946335190,2941022406,671204378,1483506622,1726867904,4331156904,3421660356,1161730696,718179552,7839485880,1502662818,1865876976,523828107,911634793,1139518557,3240352752,3992829628,3603155444,943561070,1074480555,3617506998,8631046,969730009,2597324598,7608266793,1392834044,3572364505,6376283746,1285570563,1840479176,361616302,6545943397,126174753,2346480504,5016009775,2087086764,150900540,1851597096,1534620402,7203272432,8831621286,1228499840,6388338089,306826632,2787777534,172967464,1464084372,8234415279,4413852016,800966080,7524694026,1120954122,1762753500,987247600,2659839939,1808910908,8841529710,360635535,4526609661,1448625272,391008368,368069740,8664139746,995900576,28636851,4206951915,7451417032,208953492,8297397621,5964003016,1701101258,487990855,6447608405,1973750580,267213048,6077808176,698718880,223468468,3688345020,265600848,1871753772,998730920,3179446365,1481140368,986799475,483240660,373643872,91071939,962868102,3344180193,3374436025,863145243,1095860120,4933569846,221422257,2264492904,560901168,6056217769,3176879548,2795637425,494492694,151898376,5648411520,605753631,2133761156,424923188,2804855276,600532540,5395243416,6033267464,385524631,365140500,7212283380,2033154472,3267380976,613854081,5841034444,4454832544,5861779976,432865175,2953785279,1203069072,4980421185,15680328,3892963704,3330448461,2035961305,6284175336,5386562888,258897408,680852858,690095050,5056296304,5091271432,2631738228,2946454656,576419404,1523550524,292755175,303855368,802752948,1281243990,2780754326,698912353,837552256,608563794,3938561312,124283915,3748820985,765954690,5370670224,2211781255,2741960727,431841402,762164636,813325350,150405052,5619498417,2183308371,5814076158,3013131678,1638066612,1088958808,168119715,1541494000,201247620,5080720696,1770771687,969437826,5951957480,1939191900,1548308595,2670921832,1196332543,4909354975,6044185048,5834262522,2158907219,1542190132,28544672,3228417950,6686315824,2216160057,2145700800,626314320,712813884,88738497,4928547729,1947244074,1516987675,2828742984,2812760370,5223344712,133533486,740149758,968000696,438121848,2849737408,6058475738,1548094653,458958452,3438316008,1883449750,3153446715,543828006,2429420502,788626417,2409459834,2395364148,5023260168,118644279,1706637000,2636744568,413280584,8559738198,995525972,225997320,5916201342,694476492,1683596096,5558806960,451422477,4210812576,6461308719,826086054,6916282533,356899566,4291172082,5221159101,152602584,3278728664,2388857973,797208675,3652899020,512099356,1596903734,204976220,1124086050,1873281568,8198305578,3799441480,2186405805,3644496230,1584093015,3566940268,293774844,6250834464,3442736585,2738532960,2182875438,1175324840,2753475970,469155744,1591676883,8206705422,5854944498,386896951,1949530078,606958848,4949394795,3776832801,2707443393,618441755,1680394401,910264112,2249660745,2026094468,1217863042,2059843923,2212837452,781258318,1859330604,4782406835,3069913175,2527157552,894907302,4190390361,2252858940,196742224,3457374426,5843162367,1795098738,6987528200,4602809184,17550984,3318360078,45140156,1223092896,590517923,1423184686,405864190,716538378,2197646412,4518845778,4502178072,1937865760,578486866,366166098,2918674146,2501928048,3837135592,3266687880,3309987305,681900021,5969406648,4531851954,1764998092,6668417959,4910026570,651314418,3901127230,6042027488,2123859528,2753672192,2212227843,4415846715,2412293330,5550676788,5628773276,139332810,7568646768,6713095242,1414432230,2646416514,3259378372,1390745088,3753383160,1748926465,1519765431,48441110,3007732509,817171896,5883643864,2312221575,3112648028,2559687356,327978460,109133633,1417247151,8988643143,7719923115,4568949243,3075222252,3707036982,5314609323,6361676672,1752103602,492938212,3585866856,2618088520,1966470714,5849903439,1249172352,603782997,408638680,1418177376,4783521792,1436466035,4151079477,3256281336,2711427609,757332494,1776357752,4537224192,2462058670,1440337540,4936852350,5731723392,403960446,5341145488,882165625,425797500,641750516,690273605,4144166984,576330201,1383376212,2517372529,1058589586,2145913305,6787039944,3494310876,4613119048,2561467932,1685783890,4416009282,5262779056,4482603770,3239652654,1598595576,6490932579,382122654,2540974005,434908512,4613995665,6433901514,840398014,2748215634,3193720452,5498298909,6867082304,11894274,3606825572,1096930516,1742167845,1278104384,975814100,350003025,1559382054,1374002880,1979688790,712900785,4531030406,3070634784,5191941256,240776240,997917286,4734379384,2955166095,4635134946,1844829516,3721519680,1103879048,3461366465,296905263,4496398698,2859849720,814650651,555939027,173053676,2619757200,1774728069,2681688873,3837651128,5964409008,2516559865,3726188655,5011830915,1083946514,6187636,1639538220,5891279796,400263728,597446325,463364506,313056970,7684024976,574965826,1158012657,2032716848,4339384332,793470573,5136263650,8643186117,1226260356,4554928835,245928648,4107488546,834316419,482741633,968607960,4509950820,1801505804,5040441570,7018373912,3317766740,4605131826,1182135969,1806081642,92056310,2682685800,197241752,1327657182,2265821445,3994452116,2206057352,1288392897,2819048632,5684070465,516957925,3461132472,2973910368,1032741592,1838362477,1253374864,1154990344,2522042820,1768949662,2087696064,609222642,2904209948,1467084588,2268186597,3160519600,3970257725,7031832471,4835144365,1714427076,38635208,1989300357,2347881809,4837439190,1895726720,33670329,3649464280,1659051390,128294728,5866964118,932791668,62887254,1247900045,264488756,58036264,2711306073,283951030,2611797580,6785836337,4147275213,3710756504,4066035183,4391179120,2806650055,834127190,1031422425,276828093,768633359,2824656966,2176757504,5077742761,1125989605,4736296824,789226844,2218453010,53796540,1367294864,5137931352,4793281835,1132471028,1293866073,1647269712,1917046070,336585276,917577330,2989594866,789186320,1194102400,4180256521,2120601528,525536578,76134705,671185464,8160085215,1316693492,860904852,217791010,409348390,660918173,218002524,5942878767,2325284796,5322330632,2343153351,2797529016,471052633,4405839978,1941872740,524824724,7837902488,3228302312,687932448,1763243838,2074811424,442712425,53771286,962495014,513635736,926302583,1425960006,5741802712,536927421,332860237,2980897486,4555394510,2075937140,867961390,354455292,637347468,6075041724,1407978894,298313070,1168886024,2457632526,4354243155,96451030,4334561955,6235638544,6639578113,3547502080,2619420387,91037075,153684699,1415503728,705274712,1640431815,946991635,3654254538,2024300185,2891895448,4480740992,285025176,4689470052,2814767664,5719966000,1275246006,949196568,4342989426,1758060944,1794612152,726690774,1170401262,680296485,3836425537,2461048730,2074865160,3388288456,1943740972,866834652,12024615,97543896,2580493310,4289912455,577363116,4972419570,62145333,3387327712,1594864116,493091672,2537307340,9255255,1918099680,6091565440,3968843960,1997098012,834506040,3864459410,4287791130,2590377669,235277446,5682711456,2279340176,2967553530,243879460,1231909675,2543504103,1701849620,654658891,3216239540,1546379140,1575335364,485468619,1985249406,1609462915,2052189715,1065842188,1571230500,1098836103,1748810320,1660718223,888023530,892102932,4710417460,1044238872,172782108,3225199992,606256578,1233969084,8164007334,702206256,6501180672,301847040,869424420,1966612539,4594773515,137669716,3596036500,538088756,1550514210,1829746840,1948394262,4862828048,3217661334,3276044760,2000349272,4030239186,1490999049,268357836,526064976,160114801,2289647672,2820877330,4012141128,530101284,1425490970,4545669825,2811936915,89414044,5135020387,1087850046,4030704372,661328924,287009765,91711788,2484652782,2081078935,4947934128,1493923768,8069360967,1125586125,1885428261,2534937156,1668308366,936611348,1547438792,246685882,4634768151,1441653546,624918159,825994289,5440163015,3465254652,1246595187,5840920284,3357683706,2886176376,870911288,158308101,7597404184,119439999,1396767816,1284956073,903359417,6569789079,1637675118,3898591740,2604109374,2206350516,302940166,1734350850,1790769000,490215644,5569524856,3909943664,585111590,5587355296,713378578,2248170570,2912567652,3991521464,3068219220,26476206,320696626,6185123472,1892854920,2827203084,6641828936,5486703096,2037983592,2926186446,5032105240,4957855133,167393423,3828046320,3300185910,6113594142,332285962,3777569037,2449411041,5016152124,6578011360,812870847,4796102178,139613420,3312767900,7998541552,2892674990,5504209816,2143283324,49065880,1064623978,8731935981,2729371452,1084795965,3511715082,1585436594,1328197672,1830439356,5406214005,2713761300,2793638835,3680039629,1696079329,657640584,4805876775,1545563224,1937206796,887917524,613157564,3988498671,8690601222,757647492,728054123,4893546267,1858699278,1710457158,347031960,452389330,35456136,1272208524,1401877989,980044301,2356839261,1778199849,2022817784,7192436499,3446358920,1474959234,1849317645,1857831850,2277982917,186937932,1244964584,7743705848,1991213784,6108477633,1302783918,500498720,1744748596,1596341504,3314405934,928518308,3245760231,3309195425,574421517,1702877760,5209844724,3855255932,3591476778,2623842460,3111585449,623204109,868843917,1051155875,869726577,816937129,145609830,1626616128,5911188840,2116484037,334882152,5083846479,5728572045,706788914,5159919328,1402156520,1668696463,4900569814,1150733676,270267785,1921536180,2226334820,1706488880,1652378904,102436066,741973662,1374921674,4076487565,2969921787,6610952336,694982925,38643930,938798508,2432836998,599407018,1182935888,2069396452,536815972,800129581,427955823,923061893,2154913029,1549483726,3297110148,5746587640,4936305825,2656954156,5622824984,383249064,875076990,7916663552,1313203065,424068668,102125398,157938063,3141552264,1514254080,3856976520,1370830539,2076149835,6858663455,1618857280,4999275366,1211447565,1107692241,7537996539,1064050840,2789911552,4789682010,2215671258,640456307,1711300240,4555800564,469600784,759586368,1503932398,111190761,827980836,91296541,803336910,1763140585,1287613022,192747533,5966987992,2950514079,2521815084,854016580,50519726,1626277560,220949100,1038241176,996944270,3738591590,8967714885,635921900,904439924,1362339378,3278229964,338178984,1893528921,4038489891,3263020200,773918938,36919220,830547294,1572221103,4044215912,1572751516,2826634772,355503896,1280581710,1792306596,399356340,1166135514,6622206237,2914830276,4282561068,1998307920,1784031885,541715037,329692506,1344646040,164464188,1415810494,2954223952,988394418,3687246015,1452868864,1369873788,5852560806,2209088444,2581805692,1229151459,4678108675,2648976732,753178830,2050098444,3590330735,1338046260,6549454980,1275793662,4972692802,2047854620,2936534495,1975252391,3528150210,1175228796,688821092,594588786,3384642222,439985517,5237002008,4972624182,3875880590,1977253875,1720032252,1255867992,759120912,1128628869,791501650,1696660908,193442572,6679829009,4705485492,5676553424,2927979036,1438407760,844674204,539700184,1685486696,2710226162,4274590194,4187021776,418389151,5216978291,1103790250,3358940255,1380470395,6837228612,339725689,1572336525,4075944042,7106715504,6711359552,6611090088,550511174,3506826000,2588617412,819858856,1261694770,336018357,430033035,714806752,604472627,169401735,4747074130,8663560911,415955624,2670246838,579759010,4902192390,1030389454,1258729164,4090222115,921372056,6574757664,385169754,2924763758,2111006385,7147123245,5661307314,102049962,867602394,2687978,1535711475,70887228,2201411784,807120981,4991730450,2019271578,6749527888,5093645018,4540487007,4332702160,5078083452,3395972736,1471985960,1937709235,454769281,2155704216,716929396,2972429243,214791276,1438445295,667596268,2039418045,6382496312,3319606276,2804506491,631616763,1407225174,2403660129,2405718264,4752504295,3195198984,3989697225,1508155206,179570528,2135354592,5714581418,121335169,468417249,3578104064,2449439532,2932230784,2261920468,4283111736,763905123,1694436810,5775932868,706565475,5398485006,264975327,4202718200,802978938,1062367575,1301534402,1041923070,431767231,1715047506,211193715,36052455,922067792,131391240,4316063280,1523064319,4618252008,3279462195,4140972156,1715347832,4122195232,3426692276,1487531700,218839966,1057132980,26034238,598214007,815622726,6234520313,733155592,3192479046,1795115220,1657371044,6081381264,722060549,2495948406,847749276,2769915705,3974944592,1821942930,979936355,664863710,848146144,4403708475,1264805450,1048367166,5120239856,2573330970,2565132458,8876453553,7540522263,5750391336,5984668305,1680517484,3387480174,4039435608,1734411987,1954374944,34386004,4104328856,3512331666,2286021804,1699503508,7701366544,1205146260,1931890941,569911614,684382649,6896981238,2459435178,4183872665,3288282137,1328286239,689702622,4672540728,890568954,3798067824,2033398808,455254355,2797947576,1414864714,3187432528,207044022,408319596,166197116,4522831838,3513789330,446759064,341460036,3147414024,2318225714,1388743384,424908874,2220413538,2373653024,4777595634,550815642,2243221944,827217576,1047914144,415357504,1582641225,3328745752,157423265,2786215494,2625336396,1122815848,942577494,4212719925,7050683056,3207493012,5284114864,5685761606,486157269,3704333330,1079051886,1361477313,1156420390,893366929,2705820318,651837758,225844542,744244076,3328625657,2841235020,5851418139,271964372,2129539480,395491323,855999165,1553113834,914954912,1244505402,3806031960,2440355892,2139849430,1834799092,1943483181,1636450800,5862408,3615205340,1224559335,6954490998,8391195117,866216795,5934280473,36294515,550140041,5067448155,5877556740,5390138032,968386372,3399459904,1107258348,2672041716,3483743316,1033101152,897334155,1355977364,287305923,34352364,3653801980,189163416,3264307256,1179608942,533625445,3856454550,5607020594,1712854521,3820651965,1940659370,6153905093,1655418342,7533381204,2671509360,26354745,3418034056,3886887165,47797094,7432285352,6874725,7496313456,1023670145,5415931073,1515664104,4602966970,188312464,621462085,309970873,4044089817,4027958964,947968332,3294217445,6586119728,1194375276,2920786704,1437707534,5412093827,664771755,2450450460,5384177730,2055781728,423532626,2592779193,2822514099,2629229708,1881793754,177361800,2083971022,3688971904,1512733925,2625185736,3956674662,465801282,3940385395,956949665,871189020,4240091527,2175545196,3692304152,2896410835,4424992355,3241397770,233646480,1138430964,3436225924,1739170368,275278606,5330707494,2387062167,4789346928,248471508,5976766516,1272314500,806800960,434166026,1838346210,394365534,1516705124,15850444,516976928,938440385,369786900,3608845576,1269152976,2615774919,476451710,1109196991,5851669188,3173914770,1736878602,355638236,5003249067,2808195796,1421661664,321559425,78250062,3335786838,2762044032,21727706,1208156372,943594092,48327768,1264293398,21570575,3429168360,904106286,544784508,2806958562,4158903450,276088419,4797138104,1116141645,2383150248,1656857552,1224333470,1184310852,870471847,710579128,219204870,968424930,6206713416,3744174882,6847915664,7715154080,1591257066,548984574,3939897895,2943282060,4289834370,4332275667,3127173406,8762673888,1168723539,3427803234,779486094,1490661920,4825309510,303722336,3872781672,8625510351,677205654,24316956,111325536,643000885,2033219610,1963306540,63429200,2726376520,1757843973,4272218920,41290284,233409915,63577439,259127627,1593083024,1586614572,687990784,1125530568,833210886,7061890440,1859094219,5734008917,3482937660,1918639672,1606418049,3567536672,415487288,989869400,3414902928,4247442521,144519806,1583209860,5568119992,1107515644,1147135352,2442928197,2896251560,4208278405,819589370,7012141560,2355129588,769627254,1091895082,2143644255,1654287528,136706082,2718455664,26710895,413116176,9822840,805872580,1178357754,2537615772,4356533335,2540483481,173529024,97490480,5293822664,621086064,326616265,75177072,1322811284,1073908134,910871224,3394372681,338420883,4881588978,662026023,1154001572,1699352610,2905044912,4061423457,4685945176,6368997681,613852410,2105699892,27502049,875202664,4351887588,149419965,4965300432,723630060,1882995805,1454299218,312357195,4734750378,2804972600,3570496560,23797728,1047321090,603276232,1984398966,4922781084,6145160416,2042194194,250859780,368935292,3352035208,3623756272,2695640240,243482429,856384788,896762616,979063136,414553768,1286816585,2540090144,4895059323,495450613,5926501818,2584026144,3280576326,242230110,242691309,4259410160,208494174,2219717395,67535853,5784500148,3733002248,6506416588,577208124,1567185804,2867567140,822339282,1326659372,6792838864,1274166588,117371461,128164656,7086297177,2275856766,346356452,1876341028,2659314735,5412601240,433428018,1627812165,2933172400,5654254278,3368610828,4066188917,3213417162,570383912,1654940194,529079867,3036665856,281431302,5783537256,37899678,680508124,38981288,1286796512,4546591194,948561775,3630430904,4454200485,786610993,2981164902,3796905304,6656958315,1677806556,4057145724,534220988,5493881838,3901863357,3028457380,6526630047,3514051560,6362568268,3722379816,1799995198,900071888,1558546188,7208633168,6051893113,2843207634,3386639592,3879621100,521732484,1051620204,3916314876,40703775,8303228613,555182710,83082936,1869839108,1873158680,2009528562,5512455928,2002452213,859158135,1256509890,1972653696,1222925600,1245507192,3883190552,1184595224,5280367008,677790100,1600023576,5975209905,3985754304,6990770920,6122569936,1895971484,194809974,124797305,307568360,532188395,3397522205,3997435320,4305958304,3478291182,3918660193,5738252424,893654797,2460258340,7419337856,494779331,902271312,7085413188,1744662297,4376149008,1455786572,165293906,2422525460,1884549696,2501476764,7060893648,323162464,3746486736,864948194,1283466978,1501581992,4916557515,4988680440,473482341,1067010425,5883244738,2927466388,1579146495,741180284,819748688,4183411845,8918578980,4119000184,4565500926,30840974,6718161960,6934240328,458512641,290702969,528084052,6287006856,5869727883,353544816,3759617953,163298863,1024375761,2673332924,3161458545,6625167489,104812516,1200162719,8535511332,2801748360,2590482432,4520140740,2600431955,1084891324,1403089392,258256959,610850333,3158595612,3143341936,7615125376,5447860872,6731235063,1788654604,597677776,396935337,3434410080,388736628,1078510670,1283660165,4101106595,2011299504,4470417865,1605481594,456528360,755627720,1063847795,3844661538,702007255,877278720,4755421504,1962669912,1249260576,1997694306,1561715725,2985278202,1961464618,216628608,450439665,428344560,2539506892,2137209822,6329936106,4807094211,668463228,3938190560,3810517680,7839515032,4701505440,895923411,1343034444,226612692,1801004445,108692388,2321379214,304018352,585382497,2302861468,6037693235,4893716620,1159968852,1427135682,959130294,3394727768,3340209388,6626213168,220414968,4110453126,5458400712,619550168,856871574,15773266,2658410986,770750556,4738687515,732984285,725812358,255816880,2503845504,4807113420,4044713825,1696529896,3455136924,5229075705,3247531860,295937012,6440075446,8451915480,7262771768,2457697608,4152164254,1382496702,1225014870,2665236318,5076693272,3813002838,2373796240,2748542070,599260618,4518092112,48754626,1694017830,2583087880,582890483,2053055421,2287970632,107111802,5589282084,1547552328,7393281570,991871792,5163231051,2505908344,32946858,962454660,276975639,1565213980,764320137,2285039088,3741667305,149190330,191921880,564594708,4490861265,696516816,1707278544,1360221420,2214691800,4129326397,558019623,2445121600,6516503226,8701832709,674111952,54251940,3195829416,5372700678,1908675566,186291366,1880539764,4840011528,6149785581,939354493,988402964,1198585830,3892125570,3181526756,220778744,5557688496,6095423810,1691793952,408044959,552709749,3269013624,733438590,7959358184,494280082,2720622825,548687760,5779438112,2088135234,2177638970,387476168,2656627116,1257402160,266243374,5398501800,1569180144,5812079364,5156445483,1263235155,1716059736,2138307060,675068760,1694098645,980625582,2467428120,5864594052,1839408030,5771006586,1803558464,270161194,312708678,261084444,665559886,1424452688,4730190920,7918904488,3283247016,3350398476,3689404035,3431705688,6030953415,3012293664,3830923616,2479192671,664078500,4440784957,2717347472,1878366500,978024522,171081956,1757698839,635490988,766259794,1693224924,4385970095,6567268141,206827990,3802871826,1107694731,4397020200,49872640,316114680,774101937,145801800,2929800092,4946849502,837676522,1894939175,5831213689,555100728,678948402,541380190,6463518929,1842353144,1357558740,1347661710,4199910265,4212829968,1361814636,617086710,2033192052,18927649,5473700658,1733421522,942597995,4761869819,2775324519,637531806,382000596,6126221056,858850995,4843086535,739681005,345090731,2365995885,4170227661,1068373530,4649145594,3739219484,2128804419,1350199796,51837385,2765550508,348215062,330085080,2520979479,4572004500,2277085884,2541354843,4198979460,1511000432,2755230345,2223365781,6478809904,1143916374,8858374236,4918821817,311646556,4070281035,927222867,950524033,5139038205,307303836,2737651047,2209538244,5675708960,2868383676,6213221658,5315921926,4613439240,3518618047,788420948,4386198588,1163330406,3587060335,1438131304,3654395112,4485354550,7572373432,305980420,1947141928,1060448547,2905284828,1577038575,1176150264,4741412011,892059991,1126173633,942321157,769964688,711443424,1824579636,1127441371,5521696677,3349062878,1084882038,2150785662,133685592,1255193975,1424563252,4733479974,2038509512,3848713659,107228209,298299988,4242657930,5703592363,71601822,2276761988,1935773286,2597577872,533927379,3089615680,3548211645,2544692694,650560839,209035962,2549358100,639208152,22923998,206878364,2294225007,1316907770,191709720,266802012,2795018044,4580456805,5255388216,531703694,3716820756,2480992935,975991332,932568815,3746177844,3416760696,715865220,2720124099,4858486722,98380104,3250766169,6303694061,73864706,3495921678,3553597176,409148190,896905121,4805225256,362794946,3371956235,5237304072,1769334308,1846657071,830622376,4362190542,5287297820,1468281318,955251270,412445348,66570380,5663476679,2087683656,1240646520,2408708896,4822160328,5973637376,26239639,327441126,5110945686,4119866005,1594352716,170437896,3737410552,1145836956,27474864,2994619401,1921416210,474644412,443357308,1211107684,879298165,421064419,32764748,7985947473,1696996935,860010104,3842860266,3910407438,2309834208,358832506,4350308570,2253410802,3437404836,3427440936,1359312798,3288257022,975174855,1155951514,3021707032,6963350709,2138493680,2243586180,2893706160,2235346911,6318181032,3341353977,3223191752,2727583528,334420580,1731969765,6863229544,3806816120,5848768554,1453987428,510771642,1397838168,2078502783,3270279110,3058186036,897666897,1089638054,4239675900,3260305512,2261346099,4857105750,5375318247,3125436948,1074801188,789316666,2932882854,221217144,2978355868,3678131535,5568999744,781786471,54033075,340580554,1904110216,2718773267,13676230,92663675,5356097719,7905150540,1347325998,1604618984,157221768,81690080,5150684812,3735148868,1876737304,2006662287,7999106288,2485948584,329910300,1919330580,243892755,6904508226,2645024496,7517325879,7360055199,934577904,644764412,7089853527,5281896571,1104762308,833694279,5841060492,2082385207,370021025,2050221593,1054205158,3368885745,4604882595,813046695,3296053050,3649707435,4780641495,3419305230,3213160365,727259248,345914080,4356998436,6338281914,7437794408,4373350614,225037356,6944975388,4155508269,5608018212,5770965776,282313431,3304100996,2464684592,3471220310,415871295,1097571788,4923392949,154279824,1771993662,625498349,2773850695,156751390,371348826,1094413272,653277858,3638111355,1634528760,3450760350,82088662,1534651222,6014993776,4556271344,7546786016,6310919700,4336523721,6466079152,824518843,7698482440,2950980444,2659226025,476821361,2942823996,968611041,498920938,40261005,1918217528,3438052944,1803058548,890575656,7526950552,5538366180,3624887305,1768564860,2917893595,474668700,1436363976,508171100,651253567,6470610273,7678250667,3066090363,3322502784,4732581608,1310319360,3209804365,1479092458,2822315556,3325689180,2353937125,174405456,112516283,2142972084,682836250,3777549785,2660811620,4573556514,4047938470,1115012346,2377390968,5973693068,1493883108,5032661522,306380474,2592105295,1145204244,15580534,3745047570,700135707,2261164068,1765634234,725196871,575924085,6129897417,1034260845,306222690,1060868354,222574289,739377618,564208602,2121382200,862847352,5729954209,2652510573,3609642069,799027057,912031818,1777120895,2886140736,131985010,4133144112,4043952840,4152538377,3432068888,6401666096,5254276412,209576409,18081472,3397319672,4615026285,703090030,120499593,2463951104,40504941,356513395,2097512034,614634912,2567880150,126178004,2856446493,1789632177,3579380325,3337138595,3768272408,781083618,7118450624,446670507,1798400149,5510994000,349164016,494875256,3482671381,973051928,2185838856,29499546,567645492,2679898902,1305132948,1738201512,2425282269,200524422,71491818,754972709,1221618170,5133755514,242568120,4478135115,448334783,528389337,1070956431,3864995190,786469376,849607320,379867560,151964164,374175080,1109339708,4986203980,1013180931,3940389540,1276383946,695811687,694607922,1593813435,1036161801,486971040,731041565,3461302784,166616354,393092252,1639635897,6159561344,1036984674,3092878140,141703616,2729296107,3416655921,277684704,1511980218,418017608,2987572416,2178007974,5679202207,6993648184,2766576654,1277383755,2047077324,3271698352,591089972,1519881585,4332004488,5586966756,451312992,2672698233,1630714860,5497124128,4673841718,598425843,1169815764,4091006202,1479036818,1720925800,7589993184,855583308,3017341556,666609984,471784748,541303361,229854564,988548427,188959881,962876302,1674123810,4188972204,8238112182,979520800,2993313176,2128909584,3265574712,4954272890,2840926398,2397772848,64410808,548605632,3213356552,2964238413,1753547096,468703663,4788217575,324979935,2833488336,547566454,5231635752,7792694424,5018016896,728625954,834904895,901393548,3167708832,1634728602,1928266251,3236133845,6955626600,486310863,4864339068,8722173222,4602116560,140149932,2642110232,1817038232,1554836656,641493404,2191932840,1799487100,901145792,5815283033,5525455902,3566796295,7415592736,1958782215,2836325370,451308996,5994555664,2283215272,6209357952,2090527164,614604789,7337312955,1744314534,1418767668,3213220948,542687422,2295123897,4962957504,5125402674,621988322,3614164488,2358547264,3750602208,1966493572,19588508,2782297224,5283108480,4222261266,1470043380,1176731480,795409412,564597603,1186659536,423107080,457540352,4003101565,600849726,4736205061,7809378648,451339376,2214192969,2114537481,1239419900,544481334,1577229560,3904766085,3681249925,996203038,1875010528,454526064,3012411928,2120746338,1479102432,884050136,75214962,3922961712,4864804254,5958936333,3870207198,939543244,1970507186,954632052,1458561160,7800223491,191242332,1783467261,3062513960,2193135192,6397875708,1286210952,994503648,310770614,6192077130,1227880206,832875815,711266826,2851472911,877306984,765976904,3084501847,4364691168,4247584500,782408156,768993622,2513307384,7622881830,2916669205,262844460,4511540418,2824116935,606280664,239823881,1458097047,5875904678,1377030384,739517248,8577395685,5104096704,154368309,2837359062,864782683,1408683598,3567997520,5182254528,193526854,3598154672,1476219969,4815505670,1134533997,1997706280,8960256,134001950,6186504285,5864044716,326716353,6706124369,2647822497,3595487112,6389079949,6035481655,5746877910,3719969328,497310436,3178864890,6935412296,363114922,4891176810,937604570,68737780,1327520622,443220742,4991029825,2407946855,7270212736,3519872648,3467955216,7525363456,3994252200,251834658,1244931255,431773723,4438866056,3737021130,981839812,1465724382,5827142584,3887870000,448356150,1103436960,5528867768,471406966,1226063584,926288054,615305570,3896632136,854775191,756321148,2680790697,262292519,7953749840,244493034,1933604096,903033729,1961186577,4848041280,111607478,2132454987,1560429110,3403102101,572905525,1001827778,77593825,2569653627,2507204862,900019726,354550786,2014858134,2696986242,558983619,2517500235,6076243088,375020039,671101922,1168314080,146824530,6118365771,3260442492,4610262580,2960333370,3616420928,3429034389,1973926554,830255146,4707717915,733589478,3681309860,227643536,5888807370,698844722,4098968455,3744008634,627753680,1308936454,1011974996,866412710,587710750,3711561867,20416362,3757176003,392235876,231831595,541183888,719233068,7930763488,3381394509,1692521082,1501155866,1838359922,4904849135,7992920484,3722551273,1007498544,6147934227,1298045862,2234609970,4548430642,2164773258,3497512728,781953432,964785225,3470259490,5319279091,423837818,927589716,1220520900,2801035749,2678653636,3782813928,1192552624,7805407016,7585497192,1219721000,2575737591,1341271132,2746619472,4870393171,49766192,2982552952,791922922,3346607735,5464044486,2421921980,3160501560,1136938004,5062783833,3201319600,1729447622,3184094840,3078928490,1528707180,4024039005,2377769252,6997772705,3107464965,991543017,3815105118,534509168,4233729876,135199342,3222573096,352458192,6440155120,3671396720,406322728,1891896944,2073104150,1301646480,6818714820,2938855544,1235430924,3902864752,6050740493,5312555550,5528041344,563040213,833183304,753097950,3919109448,4440029376,737379252,1423382928,3849296200,2104267866,5605110972,4411993375,397099149,897431727,349247858,4073599072,778573572,1256803864,5510520054,761871480,835882761,1774235732,383408495,3312951396,3748341954,497604000,974656374,6900465968,1960782523,3657004464,56326845,1692251616,3573806571,1613305085,2320827207,1581365247,2204019988,4075197322,3487409868,3265281229,741706038,108820180,2157611772,2394805896,3295826450,832247096,3344552386,8427547017,1690868856,1427938977,165643452,1637350263,1583205618,327272059,420642504,256588540,280693956,2587815288,3461161494,1090100256,7209645984,3616571520,323339019,317732736,2512276251,3728960424,4078115020,1816721640,1753276452,3957010405,1435074066,961999858,3997406072,2182965645,1385143600,3051249280,13881638,3783077000,2420731904,1094359950,719275761,2409514614,668084916,62120488,2419953780,708796560,1557080730,461406818,3632059536,390806624,227127633,5679130448,5734105785,2839897625,4712001195,4745542088,825988887,776680257,2986871808,4110256840,1750173334,446128650,2395218032,1634180328,445865829,601448004,6945200172,1219858632,2160773948,2253377072,370054060,641916489,3069211506,8959173975,1156736229,2050868652,4857880416,757100940,713285846,5331783720,870655644,1149724920,2794130499,549946848,2966354022,5128089912,1159289673,364760628,2332561881,32886364,115736706,1072456732,966164689,2950826920,2581952208,920362761,4541341965,6264700974,1330096296,3855353216,1275891546,226842389,1442778918,5616968264,4877777196,103467584,1809913476,1289821080,37701334,2176752272,872228994,3401743405,168890292,1323204680,629708010,2465258814,697168276,1349853022,4560553092,3724672070,906675289,110831754,4479775040,3746638312,4565129436,2964240234,362229572,504619913,79153218,3798344385,1813581478,83694918,317597064,2134633452,1392307515,2028758094,2488813824,542575725,1166776124,1579902525,1157094014,559620493,2582749355,4202778642,1602114800,1466293034,3386609248,3365830284,3848367612,3594518262,1326441608,4437977382,2958581700,826156334,6267747612,3801189780,1955644350,2622852974,1812521979,6320601765,5142608205,3364138704,427430400,2006991956,3196730945,2394313652,6793805448,64592520,5689325944,4833384392,271295560,2325070128,2319280088,17844584,4460041290,1331285872,3927605696,2493741240,4643001816,2482911990,243383366,5910650214,298924140,32472924,3901848004,3547911388,903776520,5903902336,970662456,608632885,116757462,2492516346,114941994,2365026445,1221365300,2723232054,4608479365,596372358,732914456,1294359424,4918774761,2578542655,4230333222,7634540547,2138677793,6163179176,1059983144,430781220,5930301090,3661276548,823866652,242878106,3310614756,6960513133,268373662,2423147430,3938539590,1979687792,615734636,5621903488,1946597520,1110701414,1461290632,618704384,358721557,4732077534,2248849539,2333877786,2102677530,604477829,2386258266,2276600810,1887907666,3650803954,532517040,4443203466,375761604,2254181528,3304828648,3223398100,155802921,3242759632,4875475155,322799092,1980318270,119546500,1069787864,249195540,333920437,3436499885,1869551480,1145237674,4471938248,929064776,7711937379,3487825686,57221203,3076918621,825262713,2031140856,683771540,8870624685,3965926230,4799526750,476544376,388938548,627687964,2653036980,5961140864,3753051332,1568176884,1093530126,1251197280,2823353536,86632420,1423353652,137157948,541013220,3167694592,1601382024,2383487628,1335941760,470121044,3800193896,4530230406,1937646641,1470636564,8035540848,25274098,2748244095,8116167717,1965705496,3291346804,755071576,1047768230,4963989393,5436679131,385075304,584393236,1187176466,2837490376,1621712946,8353293606,285508304,98420054,1702928346,5665787826,2915500836,60271526,422797138,917456820,2322592175,763313250,233143386,1032042988,243207200,385733544,1245193096,4791226188,7024800720,4745519118,571070463,876507828,1894688070,2127783592,7493166864,1742214284,2417864624,776930933,4798263064,1778414192,838455396,244244564,413728743,1254777640,2240003232,599722815,3909302888,5449620358,1551872043,2934291522,665029952,1941367644,881806523,3027935504,7071135736,4750480830,3822722604,903557645,118632933,4252543272,2106141078,966600240,1339966520,688562248,5035322312,1868772384,1977844425,1141264326,1219106924,2792892537,3704456745,974841660,4856093665,400895145,2250728135,6589170018,2749189120,4420019336,815442174,463088504,684216765,1742584260,4736506600,4791048903,192416833,2717548190,236475603,3988011060,2909444680,8792062317,5821509168,1831378808,5309633680,653265040,4191747707,1920740016,306920929,6528626874,5779579379,856634287,484973846,5502305396,6501508368,5790243432,6094359936,136923744,438645060,2268388629,4488352463,3265665849,199618461,2760634950,1705746020,2428921728,714967232,2747215168,6660378040,908255260,3418803740,5643949140,1438351569,5731374680,1837947160,3632564800,4769459336,356231109,5802135282,195967858,3951543680,890374904,6425925120,466133230,3149296752,885850445,3170858192,2082303464,6079326921,1639981760,3689630645,4454930345,8135667423,963941164,2827478956,1802062008,1078124896,4518812896,178399951,2519260353,2675099757,3322631133,399802430,4906748030,374600399,3115310366,316386585,3495891968,3572864796,1591988902,8520536583,5196945438,3141656360,511637359,1639223586,3766925608,2466150116,798186470,2057872424,1283801240,2844460500,893678976,4435583190,3191779010,305472050,1512045132,517162293,2240223464,691772235,561030507,1621026826,340424210,4340513989,2187933305,5897372313,2143226952,1031957738,139907493,3060150633,2148765848,5799828510,522187224,1744826642,6122178081,3204804315,1891140792,1558137232,1922501463,251634346,291398212,158679717,521510445,3860926728,3040690122,1423544308,2981922561,4562376032,1817910914,1706165976,1300225206,1403857746,136515362,576348315,1191580390,284062549,4580857355,85394232,1499940296,4043433600,2791178708,5496588496,1583344593,938269940,252940359,2613234757,3886600040,2523256266,1539273849,204609146,289173036,4606830036,216425925,2067847044,95635514,208927517,915840249,2538649872,85390582,940926816,420640515,135802631,1321633576,3098268531,7105205844,1550679399,4968347480,2846858441,1670611359,1321254822,158396287,182105013,990354112,1478028846,2855160411,5153250200,794376270,1051868985,7764137120,934779187,713682525,349032609,4521619295,5942309805,4857585200,4076872840,3997104076,4474027505,509450567,2467875650,6548705208,7353855693,4062012060,2544885805,837834567,1366015552,3325707708,798802596,316865574,810010047,636818986,2546567256,7983707856,2920515867,2864218854,4417737201,369728850,387296128,5378487318,2045891556,198930540,3983329988,535365984,1802782576,2136364580,3669216426,1666666412,3311427270,3502995600,2750938452,805216883,7103086320,3032156838,1318349586,5357122452,591273930,1635392038,1862370324,1996479250,1519991586,1348207230,6417056628,3959128208,7454906793,456403672,801078675,851587740,1129265301,3713975328,2455099791,6226056375,70858701,7497112734,3793932808,3916781496,1196916705,3884415924,4893573880,99925874,271717722,730282966,2985000090,81866049,723545609,5540711124,1492495984,1426331008,5383509462,1883523285,2929786180,5832798216,1545734428,346895568,6565611262,5403222732,7203282768,1473074502,5233912002,80005002,1938869356,1962645339,648542840,7500152,737613616,3941309020,228486104,672650460,44562325,316958640,6293061131,2915510032,7398020800,636984752,1669900636,459485680,616562002,3375945954,1217055955,505111360,374924919,910181247,2990536740,2373497694,306035832,3506470952,2291440956,57416688,7779353112,2226121365,8705483379,1468769992,684298215,387149361,806520723,1484267960,4109331350,1908985498,452742054,926334535,416165256,61413691,559166896,129101851,2363075190,169514499,2836673190,4027961920,860897191,703488792,3902670000,6101353143,2197794865,613642218,338599496,3138169804,507804350,920384748,686274760,1879381764,2059035792,6532225567,3812956980,3224827002,6463345014,1552608738,3045046644,6312427218,4396837239,275777558,1917966248,1508677976,3631560356,4992280192,2151174200,602438916,626294641,653688102,6456467043,1894372494,758853579,73452770,455012846,814666072,865731992,162419622,2099323086,4724416445,1772695586,450159298,4222337182,1294999699,3557669255,3164553764,3676327697,1668621417,1470864666,943767927,593947214,285321600,139828470,469875873,244238730,4531330368,1933980624,1174957264,1268560398,1725881060,8904175668,2431387248,623203469,3166807620,1833355640,2904043005,6328771533,3394832481,5995916224,135570505,4164322518,2525891994,4574197725,802154612,1859703846,161398405,2195513965,1691176868,2198432394,1480240557,2579455524,2313128160,2778151415,592170125,1341089370,1039041280,4888038939,287291688,5658755336,2107182204,982675544,5017290803,7195905776,666030516,5352151567,5234519312,7895339576,5008330530,6835305925,148818674,3347631320,4537958892,1424602182,480844426,4810102626,3219011152,4158191776,1180541248,4679113816,5040364194,614449379,577656310,873869412,7400922272,1022848005,3252626235,608600060,164179431,5400205808,2397132913,3839620806,984511242,2484583160,4056897856,730852962,385423964,3862538930,1991220208,568675294,6926701016,1407104524,7863760904,5339006000,502274265,1580296398,2614859180,69594488,6799871869,19376315,336102255,6322321539,141518316,5730703572,1275420216,408248701,847386736,1386574422,1581951872,446856952,233764528,1772656834,272811498,805797456,3051799584,343272756,1220984802,1192331694,3086139768,5635259376,2572965965,6310001331,1676483272,291893965,3291981336,2380823736,5821236280,5568057145,745931845,1062826560,4631557770,855329820,4055526162,209021544,1606867002,2845760094,2880888092,768585626,2341690740,7896907152,527352463,1564152776,2830940433,3188988970,270138672,833532715,8923244670,2616303090,1181952570,64921419,5276374098,1905676668,1085693164,4200231402,770199258,591694038,43684996,391181512,2726462250,3393792536,4950177904,6146443456,7956382608,4517269095,4418854695,5990062896,4906703260,4944539570,1046914036,2322847055,4684174448,6944915103,77928422,2689381345,8977966155,3422940543,260034177,690257985,1101145992,4828327810,5673474318,110450976,2857437600,501348456,5595571098,1473608210,1760280825,3309465385,3455962818,598574232,637607502,2072902848,1545834865,4372743655,3966935595,4844717703,465222408,1098691893,1228338117,1968774072,2170139358,2198699040,113060350,789432192,344367625,1665849480,5381217096,1572323192,145588077,213231311,1623507345,2258173160,372149937,2221000420,3537105411,204535244,811596414,4011258216,1380210978,1233206622,3242212044,4903295856,859515307,3350878745,866751150,4726531000,2606291160,3751395021,663141064,4724794333,899938242,1497974661,1758849912,6002470008,851240998,1722493764,352311407,3238890885,1709420136,198677964,637797226,3951268454,625735965,284899308,3195669659,1422750088,6099055179,1326480648,1325999724,130227873,1822546712,775170984,1312060855,3641106810,2354067279,1522877178,4390164336,2096295144,574609192,6444427878,770070340,2889197315,500377600,171263418,1212257908,708865266,2616570150,392113179,559712895,2067219992,172836169,130172729,3139353288,1079248406,324888081,6376764816,2055898299,1702075689,3415663664,519430265,16908440,1972163837,3537013944,1152914334,2098246713,6404123369,783749452,5207472095,1145637488,737898504,3333219624,4649008818,3483651912,798616929,2784601700,5470591833,1371998392,5182069410,2640242574,5808409872,5122711728,126855411,237366800,3001601905,305979548,1245623730,4140314181,6992596624,2799433827,1420884384,3644086938,6933605752,5524815226,334237918,5015569128,676112598,1770962768,3084998812,6182177056,536071485,4977199800,4927438926,3137719496,1466590734,1636305580,4830683168,943218828,687587430,685962494,4782765870,827081024,8817628725,5581029033,3684437232,716796420,1608574499,974822952,195037492,2715073249,6757486750,4936052016,398370188,2174657476,34347473,2215575378,1559602928,531507150,2988815913,331291972,756888175,1093459332,1091242080,5163418632,354686050,596477946,4080810780,67343575,1195315312,947632364,3321503336,3909564072,654266496,2756315862,2617686612,1299101636,630830953,659086796,5410345080,1017437704,818788684,4211567493,514922962,1025997954,882200066,333453660,1166714378,2118431410,3510433336,2009325672,2963597660,149696526,2747987850,2757028302,188789730,2338643352,1570148898,8887688847,2527269400,5157349050,914582694,891426626,3168815672,2492380700,3512010006,912674532,1699803876,55594062,3849559925,1829325756,395243862,6046663105,2178264855,3475295412,629430132,3171175756,2166755760,3223662000,3266413104,3706496171,1912863680,3509660376,1866748767,150706944,7452543537,4536625194,2709131418,741590781,1440484890,5449612203,70508829,2998226564,2714715635,3908395384,3474740356,1758201728,2509633456,943583442,3954576824,1927582850,248703468,2498641110,1932149242,383843355,2261019540,1142371294,1549390512,6239079760,3846145316,1723685475,1368936010,362989826,1183121086,1180982315,1184768265,2999826760,2262505184,655790137,300783978,2600463656,1126156495,3556248504,904050246,405646360,5266282696,3241930088,1352590075,5352755464,195673320,3881857742,3792891000,1827142695,1927677040,2357044955,3767627736,7197091920,74431805,405503264,444244686,4895566635,687729786,2039549616,2420251592,3809244327,8406561519,8395040367,6509778401,7222623032,4157615570,1276970910,920219752,2206216796,1507034868,1211410602,1585861014,640748336,162780555,2993116443,482504270,239766152,3286240705,561253037,254337430,2803879400,770941326,2970588714,5707951550,1176984622,1027683522,768743086,1230415224,3671745624,1189298509,3122641530,4063967052,236980921,3795546920,2291814960,2223919728,908595024,5755022880,1980287568,95112600,616121492,3265016584,2384979935,1304924600,4102228206,188158514,2211981882,1983425180,796258309,5375763756,1435143021,357234898,7748681248,882134946,1677815802,1289107878,2374610972,3177074656,2285562584,2078827040,144042696,631056210,696020084,2166706112,1435685502,1502930292,2904195763,409021810,1388419884,96206030,1748991717,2047843204,5676630786,8461824,3685060785,158535866,1853114757,3616068545,989050284,2747594150,2816933265,1750848792,2370337550,2189581968,3987784300,3403434712,2217137007,2051459720,2081556450,188808268,3220476280,6515016624,5359051838,243596112,5547019002,971173678,3774628475,4910462840,749973763,1485884736,1018526067,1974151830,2479730421,1836312254,1697668101,4872575274,1867235022,684600754,2956158966,2707321808,172448582,710894454,1000201148,1594418997,760756903,4760812848,3170796868,1308180738,2739260418,1599711628,2476975107,5239363491,3485008355,1501485801,4807443440,911831974,1503004766,485087916,348823599,3472215117,1873131506,1218639735,63825510,144038905,974311767,8048745738,4055765508,1200285021,6665990960,717296914,224213199,1662312728,109569279,541790555,1849006989,576136101,1312918590,6279228711,5079003480,1991106138,5960607023,1238406145,878985135,1108997282,2802969000,4963077822,1482438510,511188444,412020672,3757370760,3044886205,1134743140,1393216542,1862378175,65670054,1080286904,530834820,1286288796,2141857221,890179512,3849870069,3312120994,94083994,3100090645,4866174012,314304671,3251024736,1066087932,2601479320,1729748328,2147178408,692472739,1116165928,868776151,538527518,1539845049,265642137,23976773,596547962,2976350148,1293328360,1463338894,471125253,469625514,3320178736,2790180288,1572977315,1294962858,4788906405,69039377,5894678196,396598784,1495181367,3621284495,7126139727,5010497422,7844548672,2316210547,2425933590,1191395128,3020612112,5845667442,2295885914,406436990,435948948,2382541911,1761444902,3367498755,8680994370,2468609472,2801602788,2254230716,801989724,1147101675,2277241332,4641776256,7596827820,576073686,4572090486,6900562242,6940117366,6795132274,2223558692,173364828,2312663200,6494790085,2254354497,2742865839,739166830,1354797645,70264194,2866758005,5766203268,6225700978,2113885739,3632212818,2068384684,6896176224,925793302,66781512,3917188276,3619944188,386695163,6651329400,5121228510,632248364,675100288,516777732,72693412,2087633742,1368839930,1630530308,2026796922,2794234750,623370238,1392615996,2877408640,523192682,1355082783,572944799,1235826334,2412021720,785253307,1543969328,309443364,2134537012,4067485032,112457542,932926353,4046286325,250505712,1062251382,2842653543,2616929394,402172824,978091272,1554453906,511982082,625631867,3874833225,4065019098,466410186,1740674760,7265940426,396726710,4421947056,907195421,2811674706,1737440488,2241959445,1514838710,2127073320,5584820328,2623308612,3569988360,4165278360,908233252,887490632,551221034,6437787856,2975132655,1983795016,1219556760,807875730,100818946,7356776904,1496917862,1569890872,2167259574,3180975126,7291824597,1029314778,3288663630,6895910848,3534441016,1232427510,237341839,1139927145,3233893265,1786255716,219757636,1371862260,851654029,7086133368,5904445351,699411500,3061807096,3495699625,971539492,245582698,2276190480,7768301616,1595321076,1801445541,5433901480,925924085,418491492,175079568,2299543059,1127639608,1400121166,2235520932,6447969872,4554525120,1611223152,5251809264,145058800,474545205,2374472828,2581138730,3340957840,89322864,776390669,3518513632,3234650808,1882435864,3411924327,4457162907,957439407,417827557,2022195320,124582096,8567558109,5638395996,3629585960,5720492934,6031312248,704046113,6399052816,235375894,1263393190,737642850,2326639779,1535156253,950848970,893071927,509505766,3925010220,998663989,6611038819,1566100938,5465749554,1787330082,3231488981,211841823,483564196,2608350800,7273121508,252900761,7101926982,5279755200,219517833,453165,897309976,408546974,404341623,2017008791,1849551642,409186374,46936768,2182340167,336533248,2653299730,2937314920,1831920888,1864203945,5340558390,422937030,709350872,1962101334,4285658170,3310597430,2100139360,521413371,420187707,2751423815,3064615560,2064070884,251629282,5005073416,1744081748,21102141,2460123375,416972380,530208448,6429615064,3392023824,5834036796,2628110136,1514933686,1521158009,2721107124,696417090,4178794314,4904082825,368980178,2777996236,2418635712,355486009,3143398385,1422651714,1636189184,2185994885,499184552,1879838793,732769296,749059890,1335610740,262140196,8738381205,5254203528,1336765230,58763442,673465785,1905421227,2690675673,2670150357,1240269175,916447074,4983470344,552675328,1866039186,6354307512,3202250576,5268078306,2042321472,1108892840,4706191644,623027096,3752132931,542143315,7213389792,3538455865,6200433135,374010264,3991844180,2564762780,3701527544,2258006184,92625505,2561097282,3733828120,1663127196,4164696179,1261283787,2648658537,7959083680,872798544,1582555188,6191104664,5853449016,7731190710,2298902152,2745090792,1760764107,7076504232,8910855927,2791636910,1175824068,1886420454,3396706254,1234736781,89861044,3433000588,1777582200,461469840,1034857701,342800397,3541378392,1807248950,1613372236,1065735039,2510245940,3304223520,351196680,432220524,303015868,6299929076,1914147148,1818766210,635630940,1174927952,2222603216,608137023,265167180,32369412,121193910,2874320072,1441710837,684539696,239665281,121279407,1597306585,237021516,1626606801,442008496,5785371389,1187086504,1036305099,57508722,417246020,3140108784,698694239,1843368612,147239506,3614104180,2088542469,5260747576,1674512564,2238414800,81814557,941378634,3878481948,5088667239,6271398984,1590327262,290157682,878358879,672590604,657918822,706115465,4322590040,317953454,2466168904,3179931416,1898644422,1868742176,611578832,2028589616,1360166373,1031530306,2004113388,787551056,4980836020,3333340584,3275525980,2971299196,2451775800,4974229998,3339064732,2892384936,3324374310,823087153,276464721,6458757480,2517010680,303016179,2332601922,7798142709,405411928,1026780486,2927454512,4673978057,2525284200,3704455324,1951597736,6979076880,1425724560,2164180584,2990977011,336239144,4352197615,1154034960,1660463676,5789353761,5798043336,7357584584,56999928,1171165644,321801282,31133300,4950982521,503697600,4397424093,89259615,908992766,46851264,4725291924,822331871,3293797372,6562054646,587587949,1920395421,241346384,2894376249,1192730448,3795905470,3896934930,1720996300,1537888148,2390394015,423033486,7212346640,1537531705,1236003155,232149949,1480887550,267786177,4020164780,2872003375,2521031289,2848009672,796396724,2861125085,2864631560,483013960,3958455480,651829380,1643424906,58517284,1489169584,4586935434,890624975,4387515700,82759767,88102688,2801309585,1715047830,8492935545,2581834795,3658306752,3982724784,3730426380,2393876076,4529162382,805652622,301300044,2066267613,1797861676,2667003736,2133273891,641035612,4540568694,583931994,608291416,1936887008,2407483710,1096427187,1343076973,1835891528,186687870,769504531,3769426650,3767642019,5785413606,216822712,2320124632,1065793650,1282172576,501094776,1875806392,1896997288,3418032618,126164037,173377950,34475100,2703249717,6617266299,3407339646,216832445,3591290731,3487697358,800845585,1750936980,1952839196,3693694527,2781890622,1308837778,4717308570,34948582,551917126,212637108,814606151,462519136,3073525164,1035529456,2208488400,1687386945,2227293408,3169702132,840080425,747466855,2018961279,2244745128,559746933,2563574881,1910439860,1248852360,6249729474,8388801099,5338301500,792731261,5768793772,6025822840,4384924789,4082610475,4170466917,919795386,1128567504,1307526132,1349963040,5502745980,2446418331,1084037568,4215173630,2784939020,127464748,2605631019,1283483467,236425851,6524077482,714375216,3807860859,312283624,6358453038,2152785114,151448343,313607673,4479077032,8857412820,723030739,2884150131,1379227428,909738150,1055062674,925648312,3814302858,2991867988,646717640,1823399760,3866341648,588783780,1683751892,5097694038,1275205603,2533015072,313241432,3932363128,7658258724,5165220888,3565518155,1798871853,1930140850,2568761912,344204368,1005892413,3091270568,4272530717,5748207766,5637698856,2594033188,832263530,3453563766,2759904784,7488764088,6460146720,3939387249,835692116,1171889324,1624759176,627007798,6607100367,230556943,224596686,380888152,857964614,2311242774,209079206,340718364,7883803888,1147978455,6500837052,4278271030,925444262,7746923043,3317838566,4346638780,2547489828,500302420,101469320,586480488,7279025768,1214578368,392157086,865110156,2296944485,2971938560,2294855104,491593546,5747583951,4235997770,305124660,3072493170,7631481112,6124740648,7393318362,4268551158,6405417504,1798638023,1052789168,810267624,562149783,6040980045,1679372553,51194972,1691715844,791183590,1197788332,2163761131,265481033,6521436960,310763006,2599369983,3867033160,858602612,8382934044,367368524,351885042,491962026,1776479626,504512907,906433804,152249642,4964606466,247767784,7361551188,6808125861,2326049435,925456670,1641427533,3455801307,6965679816,1151985284,4718946966,3283983728,902468209,1042082451,5092835766,805527792,18202569,942810608,704755062,774259844,3521907412,1137449000,1195447317,525421416,1353611286,5422665416,631715296,1075277019,2988686248,6516558930,998221914,2646307890,628907052,3399010528,1039454344,2269192088,952912751,100050631,201057106,716435362,560399935,434254671,1156165728,6862700816,262568937,296308640,2272253270,2087528787,216492815,1334657700,4982238965,693552592,697702432,1849008906,1080896448,5135142906,833725976,297388937,6637561552,450924796,2732834643,2884459952,1576622604,3980066946,697107194,299930250,20707520,593476604,1190180764,4679922660,4502694123,1254785858,958598258,5138749086,1924725366,892882642,2028773226,34770558,321861942,2946436029,40735886,5833302282,129516906,2309864128,875094448,1640543100,6002672220,3223352796,804524763,8981154333,413697454,668392062,1691688768,1377963836,2732482512,6984576949,2868943742,3423045885,3738167360,1218837554,1951278219,3222515616,482789400,565506454,4855306974,365875562,1181917380,299106122,1425718440,5553211384,797981962,279422906,6762772030,1642441786,2313451842,110330191,772228492,2326475200,2508696208,755610552,406585512,192635559,1283602008,740304108,1798909910,2061303398,3786571335,5375988594,1637338998,1256639012,5580917482,2249894224,986147455,1565347152,1280353581,126684972,2688199688,1620443092,595571256,1714545220,2446725018,437349284,2175025212,716193917,4663660745,1389322640,2754712308,1409391945,669645354,3928955850,164892232,1878170112,8507185389,1301594622,670739916,2666422932,2019631516,455362470,731842125,3291919288,7603817656,79079352,1152768564,254615316,374822028,125701717,418811760,447226964,1928883840,992756409,1632298029,1822243380,8403449409,6062371595,656349438,2824024536,3086212025,1855360255,694060880,1448723194,1541867172,611782925,3182353220,7676003808,597414035,7338489432,1241434980,180726183,1023048006,761696802,736414160,75426206,120631068,687020032,2668984962,85270140,6187177451,655015960,4601268144,5048009505,6669362898,5998924746,938113589,8369519679,301374614,1027467552,943643484,168762826,80665144,6214998501,1818047169,873133312,2866681824,1441917406,769052184,1136389428,173599886,911477791,3356311125,2954803482,1636760622,482670231,322332829,5900811280,1881485184,556078586,4133713932,1016888271,1327212660,1295404431,1531690848,357295644,328700424,896876964,1145552312,4324852405,5723439246,2803720500,2004705192,2203509003,175023736,1728499980,3948757712,1349505720,1526484868,4628718324,974138036,4337109995,1289262099,2748070941,455102697,7051990212,4750892022,3653682552,2783332752,6800474716,582309188,896759432,483934117,167125950,139644813,988995836,5344863618,8510571450,2871672,4131573900,2743349932,2717868450,441560052,171883486,327509694,5676384959,1616325678,705665348,2185761525,1810671030,2748331350,6924566019,4790961987,3865519612,2594718750,617881877,964593105,1934876714,445177530,6125557900,527082680,5591138000,1113490428,1790314743,8529531561,2877601458,2265032408,2829998559,4124775810,4214848275,1338921522,4807569635,1139039084,2872469052,1057631812,4632404365,2444137038,2237255788,2481719920,49958742,5643749250,4385583818,7592558256,147822000,4362814530,637719444,726801608,3849943434,229724593,1330929864,5224260126,2521843105,799028862,657250264,1591401588,1701765540,705725300,917612269,1539337458,1496915340,612876154,7506065448,2767635865,399094148,2419312796,3865033403,3688756524,4000945415,6370328083,307927494,3913784596,2946130824,123803975,1204656546,3623773266,1821841575,2869108615,1893746328,689441614,280083858,1129264872,8777389887,1063676173,1619177192,3211124322,445925357,1692708984,804297930,4926214110,2239330852,223994956,3085630470,3700308192,4631617884,129686454,3666122592,1669318254,2998471920,1024389120,4274703762,2104230528,2743254878,6070759898,510275603,6565158738,2400885248,529921441,1214619116,4213444,2677555956,441861579,92537488,4142314140,1089334745,74616390,875788096,1120399089,3052368747,3959196704,3011318290,4247146024,1418816672,118372874,5104198800,4366766634,355628870,620961180,311481420,3379467640,158187210,2560138580,826927080,3895064880,984806956,20776080,2306116710,6500664243,153766971,2621040933,1426668090,695693724,689780256,3958686639,2395400928,535334067,1252852430,2691788810,6508409677,7162220032,510919710,2638984770,872877108,5514886014,5664816416,6829290650,3419630291,1204064841,3232385052,813388748,4397762259,6973643259,2661869462,3652668174,411320920,7107945400,2837730147,1742131629,2107121772,164169108,1225079872,2985642948,576648976,5158757616,3754056176,6859159056,2705749692,2450791940,5949678384,4008380562,8988817014,5773899894,3272135229,1505352272,7032494502,493652118,985045442,6545938224,4171565250,8369376300,119907195,316686793,3608984742,6837065,855243355,1438561038,1061684092,424914218,6333493185,4204819728,738966705,60241212,3482713175,1735940598,4277323584,950241914,986292918,1164985341,3345131680,401058922,5744052642,1022052456,1175621584,8245133568,5093095740,727016,1775498184,1183530897,3326387652,1898357850,7984888440,712922872,3781359384,3023515552,44335347,1242758478,2136315000,1088438022,904588532,5940986610,2739074758,838872440,3574969937,481208750,1608523234,1348652290,1725891864,1700579952,8895713499,5021663466,3045904632,232811509,569543272,986158566,7934433424,4420027801,1657188810,1740902484,5852243160,613905028,503990454,103171028,1677199800,2820323004,5801638598,6470278584,1565702166,2704705000,117914575,4321411024,375128398,1340852457,3614760426,5617357572,3578130288,179337708,3242300155,1687459752,526753092,2476917919,5129474072,2295136476,5800935679,3391223484,777064082,3717356220,3499701488,836204893,54695700,144831686,4960280155,2753592285,485204808,451871766,2114917068,532887520,392729166,4466623475,669144710,415933534,3371247810,2069302176,1760028405,2279732328,3797162080,4742223710,1415944344,3395902828,1744781379,468051501,377312540,1560613504,3482974440,919756774,3618638464,206330304,4281089008,1878430176,41652169,5566887718,1068011312,696024539,539276316,1174384608,168974734,4447828688,1978677768,1158548022,7234068240,6276669133,1590016482,175846097,223967264,1604072309,3000688587,1743648420,4399015345,1895449472,2116319724,6791303505,3659976018,7040400960,7422948783,2772311368,918244011,4992932352,4226103840,54269452,4576730526,4849764374,8798927769,2020127940,2529215004,409478228,2892456125,1923808612,6498498834,354737535,2814894372,1762205751,3667171156,706736402,5785048590,2623075794,4858661736,4236592715,382140412,1250840930,1937212770,3905010,3408352596,967425045,235216977,4558374436,2563164234,6145387480,950056644,2986244128,2989132731,2799188643,2822924376,2532528075,106074940,1497958870,2667724073,1486190426,4536704776,909697856,7855460226,3655387215,4769915760,3882493590,2971343333,1132286376,577475398,3446518747,3944598273,177285923,4771374312,3584744292,5892122442,4511028784,3280416675,6338450860,832325640,1687851736,3171277540,3534892606,409019440,6783291186,963691701,3109902282,313403010,2721894249,3599512032,3120063072,1855750670,1003774464,1192951212,3092411043,2075322505,4457400715,190888884,1145558834,7969497560,331641119,1992636056,5392806648,5985211827,4634680,534709947,3194328410,660763335,3511095584,2990731572,1050778872,374454438,3648999150,2443829436,1438028858,4854742200,1533218456,236520927,1345215656,1314857284,5682810800,1720099768,1071741186,3399282761,2056742613,130880722,1426051860,471184794,8646663465,4210892604,2769720993,4416477050,1912933482,5739639843,5807660940,598421140,3176105488,1521315090,27188524,858028446,808880180,54647862,816771123,2382270138,3572462032,6013512260,2292044964,1942540514,2878489344,51350127,2016362832,720143796,838223024,3423728852,6018603453,706041095,800798446,691507678,734644465,1834170290,2595917611,1085532140,1491372372,1270152495,7248454232,3336472575,681136804,1955077305,1487773368,8985912,6755376904,3868401052,3295983726,874655836,85867208,1936770164,3686754253,4799957092,6593321623,1881771660,4567501827,325479220,1670498630,4527585216,4981591638,444069594,1680545436,2940791364,1980786647,4019172381,6713363692,3931122864,7211412855,561100992,2300887340,2604839524,2778358179,2547694848,1832581062,903158898,6834641103,39028448,246216600,972612204,4188529608,1663038722,3715935800,105605034,310044996,2449156224,940824825,1340813460,40318930,414947761,1355083513,549522258,199404830,1563701544,196691424,1687431012,5079213475,609032326,968554467,2497785960,4052872677,3794788216,1819472864,3976502166,1691041914,7440901038,7302906531,93176744,3745657605,2390044604,657322000,259579444,2957656216,2736228069,1425953380,511279725,3608322240,2161383264,995844858,7611882816,7695085491,981121401,3455145680,1757553228,218394675,8034602418,4411639068,3811643072,1538992728,3548084764,3127951200,1415941892,236195390,3370660965,2336190942,4806000672,3105660978,4114774620,88870032,1728693720,5574182352,3740808395,2010360200,2012783193,2533679376,541544792,8649190782,1513886284,3617886344,599242638,1529267314,3996651000,2753928756,567341466,2901259866,5658979734,201792469,3689352880,2380890702,1682898680,3194475380,488255545,2927076204,927492627,4738778184,810708950,741293915,3115736874,732298615,1208650950,1859165329,4180449944,3186070342,3704508084,6465892524,2274355360,2480572818,982138464,765535072,735576828,5729439348,2782325325,573487429,1523133474,1989300676,1423826541,1486909088,3455324796,370030842,3761710632,1958779506,1833597056,223205254,3363531234,1491278852,5823236416,1443892298,1446770073,16932612,843516372,3971106395,1699646277,3505277080,1523131904,2063347665,2043753585,1367059196,1751312444,7033178097,897890527,3711119762,5997930216,655714572,7623549864,4944805930,684376754,264695676,4388368341,6376901211,516961113,673389828,1957815522,2782589688,1503266450,5494579200,874454700,1855821045,801628144,1751463759,2153889261,476251061,4296212130,327495945,5525817232,161324847,1981319064,3935884696,1433309134,6924088010,4317216022,3131601776,2600875326,3829017588,5729781684,599571088,1811299872,1926175782,325838377,5351033592,849329418,80409072,3145986234,3593875432,3451940107,250234970,3680893362,2511863184,2002699836,3086112704,2369305673,4054412640,4146927980,1707922706,2311331212,280417952,1838249600,1773114318,5339609730,4464722934,2261027420,7271132832,537499871,4646424664,2728671114,931362012,2357257203,2892171505,1096730614,405970394,5213005756,1307836375,740044292,2867429883,1913132378,1393753680,4527958860,540968350,8110066212,2516290255,2022459750,437284572,2901201489,1136409294,934119380,60899005,8391744747,5088915048,1730562387,2484016380,4305737000,5921268921,2249077005,6055229616,3827789652,429472106,1455799410,2592160470,4136184455,533968991,4870238568,1972911291,828854247,775768789,807639596,4532255595,5365586475,957859160,1263393333,2030969826,81196012,3686848944,1234110424,89167820,2423499090,4762884924,4054518120,2619548673,2987245632,334511589,5756152794,2810196573,4089704772,3452670345,6549945696,5624253904,431375656,2116486900,712938627,713883779,773940651,875080068,5136325816,1163389110,152008346,4402142682,4092943660,381798547,1122026016,1188494122,1528637416,478112397,2905377351,956065180,92187213,794456750,4121037125,6931768482,897707093,1479150038,1289582910,274152802,1781656380,611088147,5822347314,303386400,831650073,3834859480,12129337,3590786082,1101161832,499596780,7462092069,1752937344,1852105073,207870516,446481620,947199296,8982201204,6081807339,2610140661,1063941192,6838547016,521948420,759790570,989732442,843864495,189074161,2685163140,2169463275,4985594451,803982129,1464361101,1503623344,762199944,4044928992,3398882928,1278918168,1628926215,300356721,4483759062,1514436004,5791846770,170902084,5774681580,2934578463,7681843496,7704515752,1638602288,8256026007,1491875755,139182719,6752702151,654236592,1530223730,4221401256,4631737684,956821111,270877662,1484172452,7942835928,1643370005,3327145524,948052556,2245733553,5899622652,6520317496,5735219658,1808978535,796883745,779452976,3061307612,2349015351,385954662,1716133768,2540704452,1132008626,916835478,6596433040,3626844739,651394612,3215579192,3286981832,3955398716,658316682,3333717675,1458652288,222455440,3779767929,1922943576,676873086,6645301821,1270686531,1565082060,4115160550,873013165,6698645896,1653914324,1289332395,1681696788,231347815,5313830599,4750763528,2146358907,691764312,451150488,2939478777,1162111320,950652249,4769948785,6493019211,2572317804,4052953890,5655741056,3850775523,6807534912,309265782,1696658724,938541228,2697913208,2392423194,5974183932,3205884952,6251961096,6066271560,7262418492,1004080065,2498384478,1255401688,3971374112,1685878596,5761170162,391841376,1377075032,1984687635,4809746403,357007389,3571441380,3602106756,942011766,4799131440,1900923850,1928220228,252428205,100062954,664105115,4002880576,794769078,1682586816,1456937244,2520078472,1745118333,1809455424,2718342270,4078271275,3767884866,569881832,870755593,4673756745,1431475210,2021000815,3238455816,8242475895,1132822140,787475171,2852894296,2795064080,3330150369,1955393340,1218249272,3180965958,492993610,6336034984,5695082652,2150591856,4991951184,4953342107,2263604124,407280064,6238539909,1740075570,3640152708,5077187512,4538924005,3029201508,1216229880,969655604,1488386046,1223863440,925603785,806683711,5314599,4449618405,155066682,3070175865,3713044152,1895928550,2769324455,257779585,1785277680,302407707,2305191126,3626436915,865205760,3567799683,102593033,82697373,1229062527,3667970985,2859905472,7411589298,3502375080,3735762246,6012449120,1037124408,628852024,8781958215,624478554,535921020,6859611948,3089637820,1992962457,1740482130,3767625750,994574565,5482429788,1945543542,954186464,1614882782,731704401,2696680053,5267107518,410334182,85085037,128080071,2943762732,1065652137,2493949504,2919406116,2078827480,494314244,5253901998,5548787979,373387920,642927814,814292164,4770986296,149972637,1290242176,887552128,1645437546,1591504359,6847930656,586028150,6592770176,4639728912,1458087900,2798956902,2511122487,164056618,762860943,8853919119,1729069712,3079004805,164247618,651343770,2635643717,5724148152,3452024779,1016379990,2412512270,508014694,7122382731,894679527,3254692908,881554788,5810293332,1378432272,94908691,6174151984,3214440350,257321600,1748894515,6379565031,297951941,845268528,407080026,1761909660,1034228710,1958149568,4849488048,2584398198,3048423959,779904129,168944890,4580987510,7296417584,953838288,1675235807,664788885,2525199303,645675800,3047438432,944622066,161297929,2871494967,1042988275,781296046,239476613,4238961192,3684077904,1107743112,6529987161,6783552168,6171272555,4496252730,2231250084,3333327750,4261689516,161219279,1682889180,6779500200,4205429115,180918330,2746445040,498835673,565688523,2630193232,73917104,432133884,6815008216,5423988045,2451281262,3103606815,2685365733,3703518504,223500106,674682356,253151402,4920016665,2038302608,132283630,3393654104,5356211238,659164818,3389198967,4583909500,1355096382,4250588545,4500435246,45742444,1225071204,503106102,793357680,2597789871,1836230904,1781539240,5283871878,4020101271,1916121032,860940919,517612624,2941899824,7252202904,6043527616,6050812056,168471144,5853842976,378179858,1573811972,900003832,3969115148,609780528,2322775800,3737935386,44774147,649436274,1361805594,1726286170,667414866,4751159540,206564705,2937004626,3394245880,1342474110,3401627760,1464963486,2247931503,554574886,7950103416,5295964,5431381438,5861936424,234611215,1413082740,2435039915,126196737,30508986,5798991648,4168239275,1613697780,4710322880,4159062632,1903363808,1410205620,3060376596,406039542,1489671148,4773803994,310726504,6253408864,2047485960,2272282575,1500890780,935943616,4594998900,1254846720,40870650,1074531224,1239735620,2271378384,5029288131,2888200116,3993975222,645210390,387784586,6804285264,4924788610,7479769352,101180957,1319545716,6988815120,5854957759,817195617,4621281546,3967916830,3591755216,2092642150,2016384753,1651587176,641059279,6342586353,719661963,54271152,491785305,2409532764,563238215,4370749710,4459842457,5245710092,2847718860,1161608490,5453410795,1296879076,830945376,1852404624,245207358,1667592115,832636868,321331695,716587419,6186818024,1611600663,2781199528,1141292370,5271284410,2161145319,3862980676,2706297224,2052926070,4292863862,652667930,4730730264,3678685948,7400892032,1922059004,1048432678,5858912574,8830947294,2383648695,1430051715,1445660824,6331142496,555289678,5319739866,569383803,487769004,1267690752,6794403930,2269437507,2642178615,94606128,1360124058,393450784,498110826,2349161376,4550037664,5425791966,607591643,3376534160,6691560778,122589302,176012375,3897205388,58228842,1783699465,987773990,4813536380,2506494321,986132544,2666399274,5744721717,3563075072,27087921,2051497962,726470247,6025382076,1183616076,3468007344,2715329190,3705217884,2374684690,611283310,3519496939,198804533,948070433,4098183555,2239141380,2340116192,2896545520,728385596,8074267164,1439154678,6778563204,850707270,1670280892,5354700368,452392808,1136975220,1108482480,1628871684,828981288,2059398292,1598939594,2675608815,4953918104,648518940,4306002450,3515700364,412109628,4293100840,1112241534,7906332,2994650646,4118954490,1325005345,2478249100,335968044,1186798266,4581444413,3430801068,1256052570,6579646792,3492617200,4604486288,4602992786,79471098,698175080,387967496,3792016356,845455030,1229593346,4252775992,397262917,4342130244,329517258,547857888,7692234381,4191867,1604699704,7607394864,555535192,4024932352,6626475814,6406970312,4710543018,2285890704,2118853696,921562810,726004962,1630426425,1477219555,430871234,1418490010,177408501,1653173346,262409982,7353383022,319273595,4237380351,2340503025,2996485536,3372284574,1156522436,408669911,1776704379,142482510,6374145302,4344477360,1491082522,5092902390,5363527808,4190100165,2624137353,1647835780,258005604,1901697852,2914168992,113760168,2702391084,1505414416,3478699672,3895757380,5670296380,3302509038,1344777742,932833925,579531224,1208770895,97645752,4195628144,683114124,718293956,4559953064,2407883430,5858022114,6422780196,2055425008,657707406,1330065810,601582330,2926668483,2355718112,1273210857,4618325440,288880974,2608451127,3042844623,2574949041,5740837774,658288805,671527143,3402391386,691331102,5840140332,1900284688,1703376069,2107674477,341950538,4670553902,443586700,1478821805,8273279592,4658118610,699228531,3992253546,530147181,2196122520,1651161496,595480474,1901774994,1257065575,3881833983,1043391444,121831085,423694728,5670015768,2423573838,4168788678,799161944,1408458345,6087744912,1882498497,659120157,2110214556,1456764335,5706753546,715890940,63482112,5249804032,3818769560,1601237788,465426800,1215608455,66064392,5700900807,807575268,3262046655,5194153699,1899414888,565969196,5604600148,440374665,2659147965,2179001565,1941216690,456076677,4781842596,2143166172,7373494143,802172485,132123654,227311735,473686105,6952177152,1300160706,1653941303,3413255319,3185417750,2787562085,2051102016,46499025,592689006,3006385884,3845690667,2520347040,1114855456,117824264,216964508,3364705255,3141573508,1507385820,4426814854,627729386,1503567414,1638617046,45063565,2963257980,620438032,2753557288,1541772092,2590060492,3584337666,3003348908,878943724,1182423288,940895108,219827376,2355714663,6624502444,4643120889,1228743412,118418828,1878012960,3421582870,4918654002,5868432822,190464426,3141365420,894070836,872867184,6338960712,7455657224,756840740,3778537504,391064157,3077997741,322054794,4215278780,8234416,848747892,1172768324,293609093,481686840,3372875576,2274656396,1809195864,2485639096,2382256725,1377534396,3868517514,7294956984,338959188,288251106,2586684009,3434471520,2844144292,2812499775,4204501301,4003472956,356179209,631277001,1163183020,422417729,1353424732,4776535300,314818810,4538342720,2273306316,829101644,2277263145,6125527485,2874135738,3231436146,524468836,2713432068,2371813596,2515696950,1288823144,1700789268,862540280,2919658216,821180874,215698278,3135532841,5370938616,680383060,1110736370,1002163092,3004977812,7019622783,369262109,1185038256,558110979,1374663320,3634343390,3581831256,7609294521,1170554820,2043772850,7974662931,183519258,5462404662,2290126131,2117917060,865939266,990173875,698757939,3516452065,217909942,2207350205,1419336875,1611122172,1368945568,10813352,7192039095,6379048466,347870063,360999288,150821469,605509235,1576185555,422891536,5372963694,1163391746,422564267,2787399405,3218441080,1621081428,391920874,5454158904,1195605576,6423161720,819326488,1660928780,1304691540,371785449,4294431135,1076614940,1210705320,861653382,1143621608,3750592974,6507802920,433932238,3073020888,1363832318,36225888,5151636112,4401302759,2848279521,813520212,2738209775,1195135109,839394398,711138030,317180364,2397059672,3380945772,134556151,5869192658,3814242192,719727462,2933072658,595306472,571536718,835595022,4838036371,5727709,38526972,1068965658,221023061,909407228,3553259122,3981810573,1426584376,1117727966,883658359,18030630,201305036,1137678632,173537610,992841751,375377499,2828070948,5956266483,2735036046,2955299601,736599185,2082372523,5465380830,1491011630,1384925442,120012820,3898822880,1025936870,5823756336,8012113983,3037996158,3999931308,1188704279,1748431002,97843206,5497365006,2244163416,319917460,677992672,1722788576,5704848751,2191630527,349792028,2647920900,1361191144,557586892,1697353425,3751553672,762686344,8997918633,749612600,2572135944,3167721893,712242838,3148898188,4188881945,1586234305,2456080944,960085972,243610872,5942416176,2577728675,178617387,4372376418,2974230904,1296534060,2984965528,3411207618,4150166940,1683457732,2468878545,3380640558,1561955806,2302099836,2137064295,540692804,1522147634,5934861297,1710446540,5908823152,1825108628,113094132,1840652604,1805153140,979166640,556853944,685960356,773902815,861389720,919045183,1178365436,4195544784,5465033502,2972581896,5165021820,104346072,2324121366,244131987,753291298,1217513850,1547297763,295480338,1698223660,408489600,1487046020,3083257460,2653895892,306898347,4121741331,3846165104,3186102000,3836665422,451995605,2945368083,1521020427,3127637268,1266414352,156413053,2336967516,1602060860,1768794798,709840828,4011117750,666835173,1464570778,2605239994,3078534640,6696474372,5505828632,7649872497,1018674636,1289928092,2523080931,3043572932,4605068430,6671214760,2489135550,1611245613,6787407830,1198215736,24289672,2334886530,2247097686,3676044032,1903633972,1983568062,424110624,2265716608,1784216850,1689441111,1900036488,1506289460,38895897,2383842540,342766215,5445369582,465750488,2722139280,1763718648,288939734,5582624121,5570415054,347763768,840605841,3596350796,3104595795,2539982568,3875267735,5828762520,218086344,1769631174,419806177,2577119454,15224457,331051026,5053463556,5635459134,861126465,2408437497,464293964,206405087,7888041252,5359050312,2392949274,5432895456,2315832080,1083556032,3509960125,2184462380,4286372680,655287097,16220136,528598685,1244051053,4546595955,443989062,2659325690,2123485368,767860224,1298047890,836012148,170311254,162368652,5921574722,119709628,901524314,188470626,2179835744,6009811689,738541326,942057246,1635755940,3215734884,21663276,1549121001,2684833776,3822185003,4972271759,7840631565,3726145288,1961858080,242074541,207617341,1795581054,926971659,741630396,825099640,648550976,1611125050,3274179475,4558469363,1695942237,2104176567,323353832,2372372950,8761017132,2702370528,5615006831,1954553592,308409998,3254206788,1059744126,2633750460,1708788905,4181229450,1341766755,2095861708,350900500,409976530,2476758822,2487266802,908609727,287050268,3419620290,4242226440,2400261021,4317396398,2288916484,1645384832,1295998308,4338434169,1581707898,2493693228,1931211156,423873680,1235912940,3119652360,2721912003,4662158504,3372808072,1273321140,5728183065,1905787876,2792081589,2670131868,3610079826,229853647,1925543578,1096570296,664578142,2226684838,2073419697,916035096,1086198712,1417821540,2937230576,4453636482,2609115642,565238307,1158211984,53324212,1631778491,3853455325,3544185816,1398411712,320484232,805099376,2785682100,2231902764,312174540,748831774,1979688620,8693473626,6363663999,1835385672,5345470992,3461924792,690852166,2993956512,1749322452,2526834415,51460380,1003406852,558674122,5303010642,610990335,780583026,5967368184,6773080368,1044068460,22650696,3546465660,2686395516,389174890,5001588258,5491045938,1160633465,5948770,640844532,1062426375,1392746672,494259962,953780285,922436120,4219007625,1965473703,573738192,838714540,387192268,3039501822,1082609106,2855348028,1248767178,345649990,1299045141,3830763167,960111929,404911995,971079933,1618749664,4529166756,5614663836,1197097680,126449640,2876816022,1605841096,841398678,3536982728,580322519,1859824980,216163242,565571471,1462367230,5960816352,8109961677,2645388495,5087785764,1651146174,2933015072,3662539006,988393400,4055483585,940810025,3204086454,286996218,1950272252,592278662,117602068,440681044,535007414,423294936,676742231,772202688,523478392,3721331019,4921597260,1337747980,4043396550,2204139595,2794312392,7702850016,2627701734,1051778010,3866140917,1713730665,1463348696,2076656396,5628549704,119239148,6723520600,301564844,2438063369,4132279926,431971498,6773598600,1925253230,1437517720,639767762,2429127150,3659993916,218094221,2542730280,1090459254,684399360,1899545124,664698546,30975798,171096540,1545414858,40635796,2439830885,806146680,3416900220,3535355992,1117942260,681920798,6302143638,4475312200,3379280009,223685763,658205517,3811216392,6573529536,792391187,2149036568,451291493,3469843805,3604337292,930097928,4931645464,2211480196,1831385136,2845785088,3151631250,7132074327,3685721240,856923305,1152849902,15797192,370246424,6317272136,34710867,3429289652,270947859,3982389168,4323422439,2381831964,1343933558,164111800,2468990,335044372,870863525,6879754935,1317404031,913772934,1865803664,1257327210,2448803378,2123689570,580676467,2280126025,3292476219,1408973420,3739353210,4278565570,487220376,527525414,1542648930,1052442704,963109058,1616328045,1285834380,2203542840,3512501844,3028533744,3933268392,5155056378,930126764,5228046027,4224479735,586454814,507022950,3516026720,445396464,2817123395,1480429304,6736925196,518203384,1256473676,3849592875,1981741314,2404024650,832756164,5318674464,3146971506,5731081419,62494280,621584976,5199501672,415236024,634455410,6965176631,1052742072,3640143619,2237760749,8565106338,35202427,1940387910,5042200566,1767676396,29328913,7697823876,6018159832,2313257460,1938573296,1956853698,2585442740,718888247,6858724000,566361360,1037142861,3160244710,3341983626,868555212,158069118,1568281197,453402170,6359994970,2049550692,2957840330,1799795224,741619944,665396376,5595619600,482101070,1734263628,702834525,4791974558,4582488520,5004922244,239099960,3065537778,3332590998,4334947592,560369402,2582377236,5259383034,3177161205,4089621837,2465901872,2015698020,4104377455,1323746002,6348802005,682942388,4793720834,1908678234,1368434768,6667260481,3567119732,1492324254,677774619,1836613512,759254369,26483770,437172785,506156552,2647390892,874513618,341009079,5015361505,1931420732,4060870471,3028279482,3806040465,3973280630,807748665,619605813,2569499968,3482330112,283664753,2910222292,507576419,41896159,1117009444,2051588562,1241393418,5558824474,4379108132,470676906,996462597,239962534,3420533526,2804327320,475164324,1163288588,779955104,1316496417,885538221,2356229370,4901946780,3297262885,1846023138,1835364852,5456695122,367417548,6093172113,312034262,96091208,1347051948,8293674825,1430250276,3182932060,4869917941,4997636196,2339234208,1605393501,1163519316,999843504,4904355492,1747229040,349043947,4473296315,1039555840,6085679344,2976933438,6240521475,1400104768,2924015895,1794742281,144452826,6811006272,1192050004,319421124,2757278840,2163889355,862530639,2765134386,379370000,1348147856,357318247,3088843452,2925823990,1691435565,1921254692,4883694315,100582272,1514454174,24194571,3278267748,1537473249,3997614535,2416860483,3041364808,154065638,122372397,5867305116,1893846720,1981232212,338766382,763084054,4764869459,3193845930,985756608,1754187174,6841087624,1216256496,4410954456,3061308548,1900599128,2708436744,576631092,665442744,39096048,579928835,2627030868,4086871980,2961848078,2396316680,970508361,1721896008,5911843662,1325388304,1628647041,3230415020,2313880284,2443550796,455373976,148704990,887292992,20127512,1123472115,3549138265,774989514,1787197216,1876756819,3528158172,1827250010,1859904678,3349992470,6859736429,470551080,693200796,239266854,2219958385,4391810892,3420208032,3891854252,4211679265,4887792185,273934230,792643230,5419670820,1669676060,637191258,2125231662,1824018369,1377518742,1907494036,2077129752,285684646,739408914,609184772,2378179867,3098218576,2832217911,2604182820,1647787092,1186932901,2974231072,283301495,2882151762,562872639,3305036700,978085806,75184595,1528799570,1944613107,1916748288,3813552312,1768839849,4208625290,958307765,1610959662,749665078,8025768036,6198340616,1236080349,1761372963,15513136,6157172520,2434414476,100899400,7505144872,489976930,1783620672,348535362,3610211576,6759281277,2308276372,3121778910,2604276535,6882904140,4518731790,1398569142,98324050,5218878744,5808028646,3172906625,4138837626,3691271616,5683284635,2326755036,2824354244,1778206788,1646941716,667249951,5752101258,1833534816,813921778,4936092945,1359765657,1582398174,933290604,3601888632,278126912,87658158,152513286,212562246,1277941686,3419865800,4896703712,2564180692,1526990875,1432031550,930235475,5711411166,4361419176,1865500622,5157633740,4259541310,3662391036,7704418932,3914406040,1112275719,1880909910,248910735,943878828,826547740,1752981096,629520819,1563935056,422562190,389802908,900153515,2958315684,4287664332,3959352344,2783313192,2617897680,7226497248,856818666,5237362764,1943281627,1589270982,2562364308,2240106355,7418829360,1305903330,253500977,1626327360,1694193099,1813812636,1138805608,55239452,893124444,4679861740,788339472,1011180835,373945542,3645593720,960169278,139143216,3565289348,795617604,1284336296,2662000392,3023633046,3737696792,1715666532,739833766,157417656,786028974,439668536,1619987888,3113763032,2401107390,531766285,2750739789,2389602280,1379287176,6313035976,3766877055,2588676129,2023820505,2145242296,1093068432,5563391358,1870723878,277580526,5319695184,205946696,3881647410,2661854870,2974189036,3101931140,2326417695,1443814846,806733954,7496214496,7503914848,557168885,2126567058,1245553518,448238946,167519676,2259139284,4644477250,1438386735,110009130,2571175188,4850864176,3488758704,2455894158,7964469024,5298806853,1162860426,1234965972,961547445,2041378064,5315138154,2992054602,4379266192,6913870968,292165032,1233035744,707110068,1119412572,7581675186,91547965,4625780145,2686373400,3233283396,4988467064,3829420752,1589612706,480200756,824066264,1459279242,4174625182,1938626688,1219819630,4759402046,1200943866,2307625122,8345474001,4366614448,2064223416,731291965,5703383040,4060795070,2531252176,2888730508,3616645516,211108692,287272008,2077572880,667809122,578299544,3031343916,2293618860,387280590,146739728,5284104196,1481302500,4025767389,2231078520,2407761204,1276449948,1313960151,4203370452,4416264216,614406522,1905245268,535686262,835820269,4941255006,852295808,18802809,635205180,2876188944,6955016094,6080470746,7547207704,513204595,3681011270,475931729,2854552464,2472688152,4197393,210580475,965595327,4709173182,1226656476,2468818395,3800702924,6534122344,1484167226,606045415,5550348354,4324035925,652424390,202827135,1746713802,1592451060,1022901672,7298862560,138879048,883184184,2438829145,4241098773,3602335555,569352291,1951380690,3534847170,4115898352,3000441512,4557405,694246745,203754705,315665086,3451981705,5602142776,4376671628,3787869850,2215129062,856626116,2183613435,879345028,293799216,3947773828,192477510,3994093,838222206,671957953,810594114,2631889924,2633573520,1102643160,133680064,1316602064,5837510763,4418840784,3736908835,275061330,702344108,634755390,2013936380,2928978033,3006211818,4216483640,2660820776,2006651364,1711175706,749925299,3254287977,1035116697,2298705723,1747467668,8001454788,1141893316,3822960072,5356636116,5536643970,2161396296,293512482,1400504220,45210125,2337098245,2838610640,3674049568,826591156,864488716,4338060921,78953909,6708503529,7590493755,805586006,5342008384,1706534820,1095691636,1150501122,631760996,1463931530,3624138708,2492780976,286042779,1101821800,1412835880,1058964186,1085904922,350255721,262921617,360162715,797390280,1839513063,927529389,3765224016,2754264800,7616587950,4472709588,1832032902,6381826384,419846200,1966454795,2655996765,414752405,3004379076,1484391512,97466154,1242898044,29885850,3775097415,457142042,3132507784,986925630,712148648,2233897419,2624097843,796560840,4854648396,1164322410,3654600024,943168635,1641363934,2767649613,757218018,4770182358,693067688,4239456745,4300493300,1638314946,849692928,373760882,1618075348,891309594,1099623345,5894713088,1530160980,2333825879,1690453536,1170532272,3877500785,6504154545,2259977800,6852440931,2634082962,32089048,1945008340,7557819372,106443171,4569185442,898910987,5043599442,2112174867,774074668,3453871211,2095685811,2005379744,1868298870,2077743460,3397871538,2241394887,2490589664,676297320,296431520,13764698,4468336460,3916093600,4305736232,8750461113,895573218,386602402,4927369005,1613085192,1234107162,705559765,5299809000,1964133985,1096008872,3424739530,5477395842,4669589826,3962027156,1737566940,508544540,258221423,2771490471,1261572128,22846905,2321062962,7620846456,90560866,2524944370,763783290,1961566604,3968676464,6808204501,2310335421,387667928,6860240010,8938666638,71107884,269443028,3914719110,816320140,7515547424,1608266772,2553677800,1633202144,2943358705,5286399216,1963554032,3518389225,3873196452,2076292268,4655418912,3241356960,2319606555,24003342,1020266760,4421488311,378755832,1632047708,1884129863,4767241125,1628764240,891593108,2651277414,2640468000,2841160110,2465868969,352913436,8128678131,4709251120,2696210846,978082388,1964489820,3647704608,3054300654,3032283912,962138244,481490644,263082984,834365152,762343825,2228550440,1512018243,1709645032,672631209,4653460704,1307635425,5100934118,2860450280,725543520,1880178906,3858833776,1506721960,304154052,1027082896,6604355800,4671713410,516000958,3488082774,769606251,1262952505,337558560,1499042601,5712888606,479834463,4943571654,4295116428,3267726140,2393574183,1259395002,548419320,986042340,1203340620,364476968,123127926,3894426872,5718350048,6309920880,5349701151,6004203128,1482082049,3141715752,1639517486,1590991120,1063594944,2745631434,3928549380,81555072,1800148908,4662015210,860175779,398302205,5606400,8766576,3799889816,736399286,122360880,4577459380,3794037995,3522552840,4297675112,2032049907,1893910382,1859654670,861692298,4627199898,3890674122,1668588042,2419644612,1075800662,289796548,2183829425,1090897218,3370030768,140882718,511879969,3712381140,2790179466,3546520623,2342834752,6360308505,2751020352,1095331992,3595934776,360988614,147167055,2386260016,2826110000,361150264,3440845048,751465461,6388566674,3551152220,3632444928,545549415,1272012777,5329107343,762942884,832238628,1075177131,5503380911,1379553612,278981229,1615003075,7153339328,686612096,3613075095,2851100248,425804428,4246236560,1389995635,1039883062,49020696,388024748,845639632,4479327075,409778397,6926942,5371527819,4931751115,1913118018,8976693033,1358136534,416436200,4292178426,819939245,2919220660,2378838890,493020984,761996748,490272968,534900095,552410199,6910297515,2482095486,906626286,4253970483,2947396023,5657118984,676516756,2498918220,1478287048,3437602324,2558459395,2854851912,1698009320,4206487490,1777156596,2071979357,5010229728,484917192,3620844605,1657298712,5659830162,2598238818,16169500,991546112,5995686776,820938333,7879569608,1529533485,4021221365,4275267291,866269672,34447722,3155591358,1868865551,4732888002,6600840589,978185202,5436985488,428938869,2660303682,3496100699,8925430248,2338227684,1226585612,211658624,902141444,806575188,2264344986,3917601036,6081339776,6909190632,5618458086,2931919220,309616237,5096592856,1103286402,1101266785,797813520,1169245242,621424908,1364223360,615213000,1875049338,35027397,2636727920,3862561968,2510150586,2053167246,3661937832,1358124434,2455676550,1873002957,1830284820,7560582840,2220076488,4199969555,627422512,4810245034,2106282660,4267041804,2414785131,1797181470,455071680,5340556710,889813560,1992627950,2049742872,94833834,38593170,4797128231,325907448,1098582216,1318901104,293757295,571656208,1441261017,408053152,2261013025,1077508704,1065059469,878993767,4853950,2965345872,866837923,905204600,1808311705,1581029922,1330937294,1215537848,231308744,2138499776,3188683396,1166566458,4712396311,3413556332,777920286,2590191370,4930781640,3465634554,3567885568,3973889580,586324988,1619978752,5416452999,2756689419,121956137,1111580886,4672286180,2125787560,512817715,160992597,741373155,1863753480,3211150872,2635580210,3721270791,1710455988,2034111681,185572966,536916132,3877665876,4035256020,1904589690,1801882341,991835497,3299204710,2077439555,1738550607,563936513,4385464460,4168045784,2483984448,2692702579,2400961960,978945186,345931372,2480802165,325442958,4058269190,64305304,2304160947,4982789430,1760733150,5418317976,2181329507,1436118905,1896814812,966597236,1353949014,1297878035,2479963266,5747754804,809979822,350737754,4264159704,3600671520,5649844816,1124143578,2602129690,2473552050,1351162566,1669434478,3693779276,1215047745,1698232146,6899538519,4021653120,5229212624,84208372,1572653175,2932755429,16073384,1942549780,2983435692,4414208058,5704760166,310950504,724873226,2844193356,2867832675,2199608376,4445980968,2631287271,3245401746,5447376720,1216643904,2284186956,2067371752,681940019,2176820872,6383036277,2338087017,5657833736,467392896,1920438832,189213422,2081298225,3303769115,2959442003,2270053053,2941251768,3024192900,461986994,3621916080,2955888810,4916633225,4631934825,3047525271,548271071,2176684146,37382166,5429088136,239085956,2839929785,3679266296,5190547896,1442142384,1276992468,747602079,9459232,1720028402,2180125491,722671509,860814520,2381445240,1307326995,2581131275,2734669566,3900820410,4853764434,1900044265,4248527301,153563980,1905352925,5288240168,1353050064,895053912,4908093432,3532679265,5326485045,2465253084,3371821803,4117416312,768900732,6283514007,1208815016,4473176490,181872615,5749288782,1720550228,3493974948,614824518,5914763208,2137638482,5327348832,3647311326,3133190340,1815235696,1134803328,4548127635,311279496,1258332472,718779004,1401110700,1433065008,1964102010,4299374940,2776531110,1948044248,330257706,3124208095,898787294,1191679852,3310629290,34561128,3779228832,350353130,5586946065,298580030,1223731816,2980948212,7351718787,5687730156,1502089955,1033572800,2779180760,2002041162,3369069640,2509526800,6697741264,3857232635,1381255036,1151059637,3544956765,1586718000,1698866778,3859632972,3398899288,1810384306,802541025,2794353235,727015227,188391203,563208903,4560767675,2603832828,2382081186,1293756079,2137864782,311171370,2806895016,672787017,1984890884,2940075816,579849568,227024816,6218263530,753428680,206430936,5347365432,4487790174,1307769720,35420157,1245894328,4895487520,1103238282,1961836160,1356005931,5066283168,2929270437,7535093264,959123282,8501542434,4831904584,5387342490,5493161002,6961462912,1176316128,157846175,2611230966,1830930320,597982424,6778208024,3507131480,3120237916,5740730296,2229620575,3159954852,4930104960,121584783,1672004508,1638073140,108869410,3334574112,662111676,6958176928,4982862060,4692695590,2128012770,1508929764,5376517983,3094405072,476735403,1748675706,344491155,385136895,98908336,528589030,2925464598,103167457,4784062890,6343479640,54229111,1595418008,436685115,3092364876,1205698138,1730490752,3624127150,894710766,1654756908,332609436,2217374190,2244492453,1765064485,481568160,2391587352,921491939,352101618,577664319,500951588,930168373,4986747787,1847557080,740591796,2144942535,323644626,483798955,2786236776,732761559,168692042,1095904785,2182703856,4259232380,1565590620,3575844351,2619079794,1452729900,638046315,924015201,1474874180,6069205093,1987466127,2335182775,3590041620,2203742045,984892165,3966654764,861754714,7694899227,1082810370,4276962621,1582492261,2008176904,6017463504,288955442,2727590844,4184318035,3144221464,1935676425,3441910956,1383175734,4580208647,3839715164,503370816,3873078153,1516467420,162253755,3117153396,2316329763,2895430662,1680546508,329190638,7081648184,1532407688,1406307840,6868673992,2537584542,4137734625,710584618,3230682480,597368043,1528422945,5533477536,2088856452,2021552118,2488666180,233110230,399220012,651761502,538861956,3388378080,1769166826,7361183691,3255378405,7207964775,280792447,1668291948,1411286745,2529706280,4530041432,275363496,2641219842,3858536334,2791717660,746782770,318338326,7214497947,1520122532,4316655807,6350024415,525479535,1701888020,1911221690,857422926,8368827849,2308766140,6684251796,401725512,2705892948,33421300,1003381928,1340569790,800070820,460694352,706147759,5938637976,911282733,2422972008,6837125193,1549803545,96967486,2318638374,5146119363,2656489581,6222591571,504300228,5646117195,212212064,3159933287,549209201,692618925,2078432871,407187056,4304396619,2314868034,2322473742,1555277778,956120080,8815448151,2671124931,1322062876,967667259,357404220,1264383414,1279806528,5160571717,328921829,1594710992,4119585896,864364940,4084025272,582920571,3779320536,4807480980,46795068,8093038563,1547596170,3328629066,3413233104,2074765124,1425679314,923919145,923347162,2345741799,1757174054,669489832,181066152,261508192,4463772616,6504526216,8072303886,2721480328,172714587,1795693050,647145717,892357940,3521673928,3296536448,1648777394,471565980,106146695,3031291556,1335560541,3060650520,403948731,6935323892,2074809515,5146276616,1625711075,1450745130,6313740727,1338348142,6297375364,319937654,6712930231,2906281131,273678576,6921663728,213110684,2580839202,3368086893,2370128008,2826169896,655312209,1479382265,851378740,2787139152,2302834686,5593153125,1018074792,1702756304,4736102505,3176099120,1216603650,376348230,2518192110,2803514745,6451814495,434943174,2588525845,3271402600,1733831896,6932599424,523757346,1549307123,2465920388,248049281,2795242695,27654960,6936363176,5967344364,1925484906,1158421792,3829215530,1735006287,3748347772,2304207962,3721943576,1904983488,5701553028,2959913691,57407984,2513040565,3636291536,3898968708,1266578830,2379697281,3400948385,7635913371,2659659370,4002042072,1895537682,7587105256,1747762842,2762232231,5348509064,824035524,243096070,2874443880,3386368744,358914960,4902074235,985231583,3396375776,6601924206,4215971994,43882594,310752753,82861917,976251043,1321220886,1744404234,1077420681,2318048660,1347450136,6760105422,8639403588,3307718540,1088930465,1883139618,5983340688,73316883,558621012,7602430256,1238328480,956015857,743898965,1601174308,4877964666,1300780002,2671740564,5767944848,8409420675,1677526575,5006003661,6314426352,2364484160,817584983,1138206870,3747136914,1445937982,5763151032,587817219,4910644795,2929398932,1243273527,211618748,220389297,1953684978,4441775720,6689751808,100386392,3682454076,5885180154,313790583,1542949572,42069268,5255144604,3354682512,7148804634,438425961,3698609500,71553734,3398119605,7842191616,2375888913,113551890,461233639,1844773168,1373761684,1488834828,845558312,1849232636,1239285102,7800765192,2452872030,1892939157,2626253245,1267926944,876779192,839815647,3541111791,2849730800,97881123,5280242816,753218802,373309016,3160717371,4900434198,480926116,1664603328,4533156895,1960312192,4978348816,6166559091,1258402042,516923195,3477225200,432007050,4129386625,3510248142,3933546596,66868682,6549452432,756358460,1375434324,964056436,8910603576,4884860,3217599696,4801587984,7410627243,6831322128,3514730154,4001782670,3203712585,3656291140,2171612425,1262056888,495301072,429956506,1950947725,2831102456,2989050519,605444967,1271270465,809081270,520793222,6046980975,1229851820,422256680,618978262,1054727394,3648780027,372192276,417080914,169350997,4826646729,2031043819,2548567676,2363742474,1582325748,4911584646,235215355,4896272598,321017406,3281402817,6754190597,3389293616,285143635,2371550238,2646075222,965580075,1303667268,1031138496,429812908,591232140,252972661,53773224,1547075808,4864072860,2174618336,653720585,2182506849,398798948,2913194092,1199838057,7632689464,2717017200,249312138,7035553953,7112581896,3526690424,12607658,1328811525,1041650734,2137534191,2083571696,1498001670,2012511060,4548454188,385466664,3032630252,15818392,1572996698,2042924205,8504306910,1912268912,4132429610,612370464,4512470949,494554615,2692366816,1942465215,276101556,2521487374,2680472400,2200883010,1063452960,2621455330,625579074,4684937390,7028318952,7146224984,5472916736,759209150,980483121,3923403045,2172386907,769201384,345340702,6216752664,2081025144,7641908912,3552018768,504804909,1581866865,385733412,889617844,126546960,4637059020,585045770,4966912953,1399801670,1080147312,636200208,1972167186,645698254,4140980064,5936476742,2953976205,1133256068,1498090368,1089501144,213318012,3130295418,745789910,4508074725,7200745524,1444303168,4456046364,2251083175,6781858830,2517329680,7869563910,4025180640,488509290,4473268779,905926110,1557636734,2624129340,2760152444,2493977325,1502689604,8777069208,4207035910,1595475036,1936195245,1152527184,65822004,1039200752,2900286772,493107216,708049671,1895355916,7257848211,840170476,222224107,5825006370,4603601639,1904371744,2758167492,846281670,1140139175,2549852328,893173041,1959222132,941712388,893815748,2454329900,691953328,8993214918,1986981492,4165940755,5570621301,3884114808,3426933895,2753951679,58360822,3777013764,2257194825,157389834,1958604363,2510609982,1257503335,3281864922,1872054940,2878633840,4822353176,8741893968,5702900406,5371925384,2196018304,395211168,2735827209,609635789,6218162762,8146931814,3986444185,1561329964,939996160,2262507066,987932786,1083604764,2365157755,1279895548,1066966848,1250138995,209038968,44784394,3362474898,466492608,4000250583,1069225332,171190826,1831097652,5569039692,2216649344,613337625,4828744584,1040543469,8455452705,366355448,374711344,301221432,207023774,751971360,967020012,2250626457,81893235,3679371164,251448822,1813601165,854955444,2906817389,5238870300,3227387764,5489885574,7175636376,2768734060,4685144245,3317901856,3979008636,1375944695,1710344184,586360032,1187900855,6849036952,261294265,1031532570,1793119384,1911883242,2246943546,5668466264,2447957043,4197815424,904103511,1415902800,1767406560,1755741750,3323958015,1144155664,6848995208,117708493,775661312,459400638,6457720328,2945604632,3440199258,4477777425,1473123455,3126650826,11500762,337979161,890037348,2696754150,5545612080,2648829316,3362174140,1908030792,2365592852,12762366,2905885672,2503477278,2477749014,45645222,7045858242,6747422632,1514711256,248296006,2227028601,2128264136,794599588,2868911404,529687680,4656087090,4318317171,5830190334,6840894074,5774979258,1971754944,3162424712,5452663288,1226800008,3504713992,5587921260,622349484,954474606,871948650,1365956452,1925583903,1983554358,980362467,634302595,1568338778,3925621701,1585082562,3324804294,1379835490,1276127820,1778964064,6236708832,572033767,481764680,1630462288,1442024876,641879464,1785593076,879939975,4187635450,6454094626,1253217948,5040500922,1240135116,6539313214,868190874,3909880432,2841561273,3160246930,2938324821,2012962856,246219508,4632531200,2272116930,618299595,470115173,3939973152,1263740709,5700242760,2472957876,1222327295,8895007161,3153404681,40574205,875953656,723975240,1122056092,5931278808,839338944,4250949660,358805321,4791860245,5782093476,317748507,2931045558,236432324,908483736,91719565,823854210,3904527618,1150183032,141583780,1274463996,2805250496,1941980004,651364615,1002238029,336517101,2727651369,4120424168,357792432,3805748425,2813163864,1633797242,548620458,1503581490,3301353224,1256499708,1325830232,1830368130,7580287377,339574113,30374301,60817548,74659175,7868841696,3312053360,3147707283,522211172,567590269,5120282670,3577928424,1447637408,1677050082,195539406,842229242,552796245,5170688274,1463907465,3119890195,6259613616,151998217,959579898,2335471770,1142378790,721844151,4763814420,87981692,206847570,588529972,7155948088,930181843,5659637886,3199025700,1723377662,106181928,768392860,1322310997,7174414971,4547845980,5845198572,2991676218,7723519712,7173184848,4435450495,3114028953,103926618,3879513330,1347586875,4592349275,1699916068,4854217026,364237175,4276135272,5191683777,4451708736,3145433708,3143432020,4944129050,6783323216,1201142580,1682353575,2718846942,4413580332,1064697860,3182781188,66389555,1144024626,2906007855,2658621105,4992857784,142646319,1112603529,1555609761,160217289,299302824,3773726586,1036457514,2410147347,2881247432,5380655412,1943798535,817881150,5661627336,472429380,2952996273,2632443636,5814893970,1289377554,1913205033,162782946,3919385058,3945201696,2256666540,4635863064,2646586269,3485243615,2887867025,1071176040,3411017130,1218838170,1755697792,11697324,1751551065,805635120,1996594628,1308573708,6023275027,4640036877,4737687240,4814862510,1108337293,1318875669,6523296831,2619466645,837767056,5875187296,8558208756,76461030,20727253,1918595052,5233253805,457631550,190822362,1951502600,1670691652,1862494616,2428234292,217195650,2328965723,7157575344,1939978071,7915432365,79144615,3051192252,612411291,2836967160,2433347148,471670843,1602495124,3274734717,1583312110,2309443856,4603292477,214924712,4853432595,2036408106,500197043,777593410,7321244166,406948182,2560920021,1253508720,1787942088,4934148150,518498190,5102339151,2155380027,511411152,292441588,898579120,1469067334,424860720,3015771580,1717259320,533975200,5402256041,854333470,775461368,6808665712,4493563662,350834210,2918115072,1583667012,5109689448,2741213768,774011032,8413338789,2326885446,125191615,2772024795,3714877672,44979702,2925137472,7388304615,4611643920,854823243,761137575,859380687,2296066644,193121456,3658136290,1541125025,448750416,6306261633,4658303754,6087811646,418366172,3929958590,5378105176,1480775742,443141559,2542095756,998415740,2374214715,3350814752,5510990025,379563358,1894785322,1687256260,1402733736,2067063810,508645173,920147686,920127329,952284104,5686535736,48344608,4796239044,504762975,2228776314,1669334880,1230154587,3037367220,228899280,998157220,2027064018,3204681597,3507254065,857536815,1894813920,1911655380,3138516354,970271413,719585083,5183274719,14488264,93466456,3391766829,4955276424,967039875,102284163,737102196,1689035508,5164790070,2921943987,1238685900,1248624728,3316567292,192949926,2650329428,2968247080,875857020,1190695345,1928809010,2814148638,5560228177,2982600250,1146928184,4691985900,989109184,510167150,757141638,1846254762,697391946,1901591544,447938264,397152316,3346258212,3468278525,73727730,820147731,2975417973,6294302400,2679126057,5301735336,5748210711,2154913870,4285829245,6954577440,265918046,2156280030,206749913,1202068252,211778313,4673543056,572685231,2185720623,492435768,4460834376,3715568572,162536238,3743920558,3708834376,1561950040,3292997864,2336309875,5912211120,1019503344,2544925804,1032264768,1259596476,3739522913,1657189000,710067072,8165293083,1829491600,2981633136,1328601303,6163834768,881904179,1559365482,214928322,4125216035,540044880,4861699930,1647037700,4128781698,4556215200,1628085220,3458863701,940178488,5073522498,5195022630,3711487790,4020086833,4206260064,5842525905,698498955,1740198516,5287021789,1245494496,2386941365,641804215,7629877737,727088024,1133920486,6445474728,5520433347,4161992680,2694188872,1907503461,1787196340,287311662,329383124,596215128,4491580788,429230650,1859125358,1204564560,3474927729,2617887676,3026712112,2792718156,3107223760,3014044713,947819588,301280521,1697816564,15623000,1955441874,1531883592,1945372116,4690328922,3429016710,3561527697,5534768400,3287141300,2706693678,709649088,251034768,1685344328,260996625,1021901052,3082656685,2876837625,4558759370,2356067568,997225115,4177804800,1860550050,253668378,2330290371,22107996,5623671277,306798960,266649189,1497995064,245265625,664316725,4697920445,6999060782,4913934375,933169381,6893549982,745855487,20240608,2995737132,775633769,6842790017,842787312,552241419,1293425160,875396142,3713675136,1597126111,3275743840,386022200,3805363548,627371245,3782806485,770483214,2340986340,4837114120,400714833,2547482268,488100545,1430188557,26602749,984539613,1743395120,1682040910,5543814703,916363020,3816271344,2353790808,1496722098,2819532507,2321969580,935203608,304453797,43251075,1201762524,7250867235,2274797760,733041786,2296973916,547772520,3870179600,836339973,1829382910,2231643729,96996424,2411362701,264187879,507439932,603885335,3912586614,1319344864,1318631547,2257459698,2110501059,5570578237,2638846896,4773060590,415068262,1106475174,2383698664,535873894,3255653750,2605654076,3426454110,959380801,808001365,1041406947,2700118032,1551750345,805913826,2044213434,1405345384,1225578500,1658857262,4036849025,839681400,1158582745,3261323144,4368434144,2570988892,1943112880,1650541416,2668624368,3510139380,1487739968,4769944260,634347294,595848714,3686582298,2598878373,2392492050,161544873,3234802776,1044834084,1767102224,6844808080,4884520698,1475386252,1876667031,768782660,158550462,912563538,820528087,378169632,5935320888,474308613,2693561451,306301100,3967586684,7263485560,127102332,97899666,4580697625,281935416,101381693,2099478950,3859965528,1488721776,1907249323,2695732914,2984399316,839881563,1119882150,2238082280,447731566,5962341464,4181235336,3105787332,3811942405,966606714,286538398,1110079116,1472497068,2088038330,771783271,2323905678,1443682536,3574585570,614894890,1410301482,6143727320,1163566152,1922975232,6022415115,482696612,1985163288,425972817,6498691206,272282580,822997595,231717381,5513989437,5379739992,2205169026,786077745,4316394010,1524151120,1792181890,1033228412,5547162256,2439575660,4887387295,165222414,1887153760,4227596445,2151880362,1536895788,1434143703,2871320856,779849182,2489012688,4464336380,324152706,884277504,325184601,1409958318,1460007762,1614364815,928893100,1482379905,904715822,1545732160,2388314558,1214961540,375419072,3315223360,2407360065,7131154536,5351783255,4040365602,1957700654,8047962243,994860427,396802155,7701941286,1947086930,2481097032,818282515,1461927072,985874124,314671392,5253410883,1423185920,778429762,3980509840,1188689754,1798844748,1716012144,56897085,6750523520,2539500378,1492594266,3544817395,3328171878,1009167243,3543057288,1411041776,5740322560,545269682,5858974428,3197411880,3743720825,6978751792,1638878784,1257033726,697482516,2929915809,4911026445,2138913747,1722122352,11943996,2105923476,2492644770,230016108,1931786199,2741251953,3767296302,4695562816,630514640,4073144579,119288480,435788836,1083777690,2030013448,575397450,734902057,2406030436,4916273470,3306062683,1289554110,1697072584,933796122,4821487928,3897702872,1091661768,4030674275,7226534592,2219154615,3712563806,53056366,548432973,8361419040,177867153,310341612,4197078258,395340014,3779187671,1396175634,6783596001,3902809736,6563151344,4699549435,2409943341,685041593,3351213204,396388788,3426380440,2295363540,1156133142,1080494568,85800985,3075773652,7160247240,3546766224,4731222258,609066879,1075256036,5991076264,5164947613,1038980727,1611928144,1066886244,2003013882,347948385,116864750,462096686,4518871404,3630538821,7425068336,2393720976,1294709095,3299060245,384718096,2844122415,1119739264,1575552536,3797513900,904526776,1334714508,3285532305,37043673,1021074352,3435037430,971168325,1929444940,115458492,1888676470,1591725288,3389979615,101604636,1107428590,463603527,4911213755,6472377152,996189858,526331748,4471725780,1640867892,49194678,1009051972,5895522216,429591870,119127320,3002513367,2072075586,203986664,2994016557,260874746,6750433836,3202793979,1026502830,336169944,4030657230,1942515801,7812813184,795506225,4259257704,490986900,4181346400,916434856,337803375,1744229042,3212115648,6869851639,2112692790,417888735,6403416003,33290655,1461106848,1956814460,4069595781,818557836,3223680417,1694405146,59055542,198205080,1257351236,718639245,4721090718,1342920030,2513482779,2101756968,1846184928,1146364952,546657568,1979707914,2158457344,2998188495,6011544015,1792602812,922900714,647492394,663458136,1974479514,2236453152,2059453452,1856768700,752114508,2711307532,302858328,884726089,2388552975,7047727461,148671314,421278478,1392101156,4574408922,741402972,876585110,949305164,3417307688,422326628,1062305790,2485163885,7270872176,1276119654,2642723112,3323967750,755546526,3353567049,973712857,4786789744,25078180,3484904124,2489321094,1357254600,82580027,1873710015,342534555,441118908,2305986056,175830320,2493266170,135369980,846053960,1375384752,1225577508,1986417621,5083910741,232295208,1769243307,483234756,1667706346,2671285183,1326719296,1045000656,709181556,2377343580,1815736040,3299139785,3401126255,2027015736,365436102,719127006,394945050,552723760,3175166096,1822501545,1664042148,11417936,986866655,3229714392,333276198,6002718421,5957417772,1827437172,1557169270,3171664460,145596014,741094752,3706980825,1311817131,1868420495,2442436632,2171417374,2418372540,3195590380,1573717300,532344045,1692078843,1813819902,2882984493,6736541736,1573637988,1486404030,4465795032,133048464,2885876343,1793049432,598907164,534540775,772975504,5058445908,4795034923,4310435784,2855300548,1468315620,264591768,2616673080,3623723160,2515987758,322473621,2449642685,502301484,4486880034,3955915744,3071119121,3416639382,338427246,4069929500,876829502,122425401,2228228409,4635714260,1457319500,5359669209,2080019733,2700865134,1984185220,1611413572,15702870,394702108,447699756,841105256,728778897,155643643,8405597592,220234633,1466688864,1858948034,2691819048,1351826646,1489525752,168414660,762139518,80730514,5634092936,1376208505,711656880,265643973,14649120,907584096,506975376,2085500925,239906952,3136426260,502627293,4983639275,1629015636,1518933080,2425152116,55779568,35318050,814599896,198383068,2355830617,3139689408,1021443318,769898336,891975114,1498092136,776950035,1893613200,3767810520,3068134531,697485750,1157452018,2230889754,4097674955,1896836664,502420035,8720585370,5015556224,918347094,815507876,755128985,309893455,6396500124,2730561225,610167995,2895846630,5821479552,577138242,1805338659,2831295426,673178254,5989590720,6017834624,1084361962,6133827864,3868239492,2438689445,924376004,5948337762,663178196,1803541074,2778412992,1750430670,331498240,1363904008,855289295,701878755,4843485768,87274600,6396522377,2037943592,1208179180,5110715168,693162997,2420147056,2803191080,3602034702,5965734104,1871650370,889734475,1063453952,900408500,3744776052,596431998,2399346131,2775704562,2145370575,3786329360,676191669,2145599634,1961027948,1917302380,1744752816,4351232984,1654552122,4660880316,1684407069,2695629160,6162234363,6570980688,1232802320,623762152,1381646775,2779430660,324201888,33921384,1070824104,3694894845,3950548068,3353593404,2970245440,2782445472,3330656124,989095683,3600793428,91018896,384051352,8077408002,911563794,1356703251,6292536103,2159408944,1540499972,367700333,3225752008,503305552,750268380,413232180,4643822722,1046583840,3530209152,1276164954,7182681993,3512427652,3082403532,321213600,739811142,1450881154,999870700,5097825304,3394800990,1468797525,1624573908,919141930,5285787048,490929195,1284030594,2821070034,1484376891,926879878,809624345,466279435,750380092,1912747872,1460672480,1895870896,3010444488,346764340,6836364099,1082934846,1217238880,338226589,5441181618,2376231048,2010902424,1425731392,281232476,2976826128,2623675470,1351436931,1608194868,1796210703,3962580056,4744327715,214961046,3647323912,423698996,3760166184,1564160808,3796958344,1739112444,1152416272,2465379255,1340363586,762411463,5571982392,8236315800,8004678282,43246096,3264458697,477832375,2672602164,546243738,72789775,3993493896,4879676344,479399196,746947679,191111935,2973835824,3350479660,556677288,3349109043,1008139449,1075665726,141456845,570117520,655429266,2775147291,684436400,5684326992,4389774032,3717435540,5421096324,1394491556,2296609260,1534929165,3766539282,143255920,2193078910,709249373,1593617690,540971247,958159644,40664856,3321956106,3476865710,583266926,2079164262,5106896652,3878906940,170190384,2045243228,385895250,2187483390,1929372282,3807727315,2438931042,2962261305,1068603590,509056914,424104060,1095563040,4024196200,3696098752,2824439898,1093516184,4999909812,886065684,1035499928,3772012448,92441266,438256771,846205314,624079752,38639790,4714861720,4614558095,4464845272,1241148942,4515758364,619409955,3249069876,1776631066,5240430690,4656036054,2428741848,895473459,440664684,4447315449,3558848670,2716098624,2336588952,2679734772,430397207,5520048054,4036908448,719518813,1232738040,3492600735,277581084,715731064,772871487,593980389,3615072752,1922884296,3059025052,526006709,190841398,2755370672,2584463916,3843159817,157316503,482803776,1047726136,611269270,667908195,283168022,2805056247,3213804860,182147224,3477758384,1206005552,1067889051,1079674728,476632934,1251255519,894286095,161513300,980659160,1051823984,3542279500,235378478,5506169859,6906883151,7171010181,3518496370,2267568240,819718480,842864385,1132177527,4359294640,3603709390,2032533078,665049377,2259340576,8372682198,1713044646,490521954,6640483671,5589125460,13459542,2842051221,5583966066,52444798,5399303672,1628423896,1159574578,825079842,867196725,4024900110,987338493,4873069775,1089921178,450879024,1366627113,977130651,3046045168,125703428,1984882985,1516334560,3441302844,1628033208,654597288,7677993105,2069865252,3381697195,891315920,801145932,5956722342,1081942284,4618054505,75267780,1055839386,764166258,266178788,5783732424,611802676,3996681496,622747970,3167570105,3274694152,5202167346,162244158,10731975,6451350849,1116807372,3276310638,5430807704,2259818535,3860673295,2752868388,2952515377,2459082856,5581957182,24453745,638346256,6572704284,759378129,3494091078,3956902257,169826068,278704377,2057042980,3026276335,944599498,2634388611,502316106,5003381538,1713574260,4970068306,1847262608,5331174016,6402789837,3466746572,1940175516,3375932210,695421648,6785288968,1596264375,1475435372,3817896612,800863681,4458032622,869816982,635354661,1658914460,2623608050,811260758,860300500,2438233224,484393658,1128737710,4308691504,1255243016,867263385,605811268,1545071814,2638387656,1481759209,941165508,1185108055,3965461496,36910275,1886047368,2464480400,2549005413,1053482816,1786268104,5097672441,842206050,6248118582,1628679466,3894103160,2167203696,217530345,6109072119,4086816198,643618034,2887008021,1913433036,3206158096,3678294276,516333580,454197300,4567886001,3794101003,4877861952,759216182,801280581,3389828112,2837369316,8268831018,76606021,6285242236,8415274572,2933077542,490493184,5117519708,2252265240,955340544,1020672416,1277865531,1133285632,992298200,2645317955,2099479120,3715669736,2014584168,3443618164,199613049,254055991,4881219687,5333496896,3736447928,2553868895,7808697837,6257253042,194650418,2791992624,1962505272,1139571714,2527166512,1291941117,2307516576,3303440952,2121717423,1080554925,6962031198,1369837189,1337550828,5101960002,3468410433,569861016,870698220,2275127040,103337413,284511510,2235510636,2303836731,2008407114,4037267817,1216690116,1332435720,4772497887,1064491878,4395027069,1328643024,1855383498,4557884232,3756535952,2526568112,3452620660,1224880130,154032618,1014733356,204396080,605346696,605832502,769474404,8348951232,334902024,6232163448,3420876924,5409742104,1182329559,521815744,19159058,3687724074,3325758772,903400392,1177728660,574697403,636479688,5350701356,583667591,1215106599,2062437850,2683741640,3274664664,951980900,2985905556,17789029,490831844,165084984,428886270,926737705,1054830897,5599575216,695190164,2322018220,691082720,298053500,2743790838,8884179972,911311170,915840418,1624536866,1700287578,7548858000,5629547115,2252395376,3403856628,3158860059,143943989,597816564,1029528376,443073406,1778560520,6171109679,1546075776,1583422278,2552034375,854376115,1908549324,1478235064,4955550705,7815266181,2955995833,158586800,1605382420,1384622796,4090129950,1811856739,234926196,5436418832,967254299,2197937814,1876997815,501819561,1471815812,1895120700,5353210620,4401937895,1285285314,3412932616,471768296,2404558625,2328785000,2968801192,6855653184,1711983456,731489686,74983986,568778507,5475652992,783001138,5475814632,658581160,321370526,4368888552,1575724260,142447824,7717281201,1398465135,631061406,587810295,2277840288,1813332666,215598334,442023597,501381345,4575411414,5195537955,990593988,265182464,1013614137,1094564856,2862869000,7280156800,705076820,4279375800,370276609,6025449285,2110917285,4338830752,386157356,2702296095,4990524336,2527925547,599109850,551297534,335775420,8298686817,3863852952,1950036300,6870608724,1324922756,13688682,4684962558,2257074232,131169486,3238998364,1621297968,7020621189,6470682732,3819643398,2173177034,454109099,3675911780,4022988114,2479909700,4091096880,1467255398,370720166,3875031237,789978687,3744744715,3719939900,974335851,3969453196,2787698230,1272019175,1086590061,4083650496,592685316,1021529384,1651897914,2307423972,416377044,2722262040,1022264514,2732705400,290534400,3146823544,686322060,415503372,3578117610,3154138162,3980381984,517570991,6182793312,431135448,4196390160,1048685135,5857075896,1657049760,1463131448,1266100870,334670813,2849424750,1528194160,1471276326,8389168128,2668061320,738274660,4537835296,1945752138,453149799,5798180043,2993632250,5966598528,1908136308,1575746330,497806846,3208526130,4651495512,5587452636,519677670,1128885163,788192416,3460521270,2848083235,3773740383,8174597247,1381380504,4138880365,3636768858,6633432630,361974496,67706116,623151408,4790242045,1507521596,640079268,643769849,3939942204,1042542252,6010529535,240565615,5443254171,510905070,1796530186,22511200,1470412413,8899345080,5878846477,1609348179,127401342,8288455248,115924880,1712317454,2600844129,1371785540,3517922888,424083492,392811960,1572107082,2742777774,387601552,3084353815,2305696840,1643830968,2002946460,1057278171,1206785888,3938744025,8652415581,2745674064,1351918284,4530909132,5616079721,213481350,7774921312,1832143510,740336610,692365872,2271057260,2021290040,458171475,132407582,760250235,1008705747,7069402656,2960541568,1731232648,1122470856,801962649,2275013140,3487617784,412621694,4142191840,103846544,1090024974,3053004666,5731689362,2432837632,3164597296,3473034320,664122144,5300939616,826440640,2171081367,7640388675,4160700294,4787059878,7269275673,5425463430,4366657596,640563728,4732891920,4685806216,3660254176,2147012346,392988687,8048571210,2871666882,813877848,4819556220,5464267353,3289127240,1553248928,2029940368,2152252209,870206218,640107810,3201856235,3515630220,1943631069,4766897952,1026523076,1062018384,2964306010,199818842,841195120,3211626125,324351272,2692893130,3281593544,1451874755,621274144,1642544380,1929841840,3156066888,3270023376,1305921776,1985661936,2858055804,4544836128,551684548,171464197,2795504164,3720454824,1667415827,1555977162,286368162,3881720380,2004358980,1867012476,870253133,2690822547,2961888225,526963826,1091547588,3776990016,1907943192,3477506694,774719787,5372550040,1470137536,1651125906,5026605792,2444490144,2404637994,770351858,132433791,5972011746,4816912580,2222063936,4094321875,4254241185,32230773,2661905484,3983589024,2029331307,6839443324,934825757,3538033450,4994385327,3061200681,4186765136,1377174952,3897271032,569710482,1820998552,5081933076,2609677212,163708620,899298180,2309702464,559163217,3610593486,3369594282,2819832219,3874855494,852288617,410471318,863521467,3796305170,5687669196,357911984,3239584360,1154778814,2396858796,1060059902,1594035418,651115156,3429845916,3644643960,615132698,2134206765,416684619,418926791,135195619,4715831112,3230297371,4628777868,951952466,2943924828,1803274569,2314364577,363727060,849128068,2023558986,4200882994,4202496873,2871513136,4506355760,1460488098,2793176755,1189905450,1149208316,346363337,2723385216,6247453464,5258654082,2826593082,1908425112,5167755089,921418174,157840956,4734901472,433750678,470869047,56568535,1401694168,924363918,7188304482,1711488516,2361739167,2215122471,913262487,3642534190,3488278185,174278202,743558870,615872475,1829060236,1691434773,4937381124,4451882585,412835844,1266586254,794267787,6742712912,4306685735,497979735,2325071100,628814572,3215874355,1908962215,1311717432,1570620962,318707024,576560379,589930788,779723930,8734406121,288929726,1471891752,4856214456,1815415696,2029708458,1587573792,669308732,129152114,676271460,2817344824,887115843,151895346,1835975455,1401937094,5733102744,92684274,1111715775,1995675606,3180541592,3963155226,316673487,1561612532,337199034,1486802060,5704833582,142981488,1171291638,2631707550,882540405,953910117,7775095280,5887123354,1857246664,4071577405,904626968,907495239,100002429,3663185988,1641907680,336271143,4087095368,7799549958,8863841205,5541076716,3542151088,2290045773,4336064430,2692157180,569372585,7691680062,4147466841,2656069464,765752595,2241215778,4676029095,2731493744,3193644643,3637864696,872303284,131180610,912268043,3678661410,615376125,3310156269,3583749184,357051282,3143456995,518944372,4287202284,501241040,1204515585,3454819152,1588195080,1577527047,4478134095,4107839688,2334154830,789207680,13371726,5208822540,979972722,872700030,1378286861,1799426692,2827042359,3517890950,2026888628,3943473000,4269485556,830987916,264807792,2676589064,6047373264,1458989964,6743797648,4069047075,1536011862,1890732398,4858491080,823431308,2636478400,1039072952,1659205240,477157813,125972450,360709407,5824866425,508574128,779823308,593881673,609721030,6697447024,187192454,1404283788,3475751245,938629362,4254822978,7753241344,370695630,3730700316,2098130643,1939412004,1443409992,2751268296,1698628010,6598658313,2396330643,1886960615,2279067370,738507736,1082902510,1683417372,593854547,4758051886,1499851437,1054559170,7633513752,2258884197,2349206376,1823366276,953278957,415205766,783229193,6568372776,2547697032,1312577799,225017571,3512325832,4692280232,4133113410,1924221888,1494375750,1997087484,1232878818,2041618575,1112079648,3155475636,1024279736,370949376,6193703745,2432668720,2391687333,3407437061,562145697,3036772998,4812069125,1035878280,188312433,430801416,1860329282,1999728306,3655238616,3177383115,404338957,4838937278,3602430740,4757069061,521864730,5698701480,3374058315,1234976432,3091469952,2948666468,1811273826,2128445442,3143604606,7839387328,8246000448,16851404,2778347929,1878701240,4089416955,549715752,2595313405,433497010,1539081426,5662044240,7825868816,3661334892,4257401268,582664899,5560012336,4545790624,2960967069,6746361400,2985777000,769178203,5868853270,208342675,1276123590,4182808861,52751004,312683796,1898527545,3598061391,1204195392,583738682,1350566936,6785609243,863576064,2713407175,1140297460,1007298712,2812102321,2990227431,5449799904,320017237,566804028,2781066728,8885003697,463715812,1573480811,3881956986,705549018,2794798120,2178237950,736043760,6892135470,8040838743,4506704721,2421082701,6252143387,2311668468,887944612,1540396290,177958839,3350580285,1666286454,4937802095,1568293754,525758766,4373025384,986809071,5854446920,461124076,3275401626,1787671630,7110837828,730671566,1028184687,2217447732,2124872144,2659295283,5111971501,3729370900,2117239012,7709541174,3992631324,43461594,50651731,4378150520,1598465975,4721061330,2891849760,127331212,6917087320,1024174018,6652609481,2118431880,1483195238,2413831472,1185026972,4158325780,1292982422,5185781797,2636342955,5866751148,4699233275,2503124617,2144203485,1408318112,3760807452,234809631,474305334,6287437314,996211408,816341472,49034607,3816820674,113260482,3987241525,6147967098,1296718872,189836036,6343022798,1980372888,4459032067,916518184,220133754,411453861,3672217530,2614581880,2943261476,1495684756,5322257759,1046070774,5147945552,467866020,1274650539,1598324202,3051352872,612986535,3678745602,1664934131,319656937,1868937936,5479649903,2209652480,2245006962,2698187436,526159620,3372706448,342640768,270802719,351020752,1141982108,6656470555,485311278,903547460,5775700998,4697365095,844952655,810261275,857578227,188417388,473719028,2646013890,180581307,809884687,2175428676,1975084155,5360227656,1845601425,2318557410,261268814,1231378407,6200987823,155430102,2446715892,1771508475,3634830426,4036297090,2942669592,2667492909,8397399654,77514069,3449443382,3539758824,2933684565,633347785,4923868368,2392375396,863033047,1807349010,3715193076,4709764835,1807303744,1696187598,144532136,1170357852,43474416,6038084885,2176620700,2857881684,409542230,17956884,3818075650,419599008,927175656,4871828484,104347815,382262833,807005742,477586416,292652361,5254245255,2612035120,1780035586,739236330,4675721031,7060704804,8523766458,3667770771,6303311992,615152128,531645497,4820898609,8292635604,940363278,6299325336,4411868470,1604931108,5335331827,947126000,1091177832,2057993670,6604453212,4375280508,2186952564,855779778,2371690433,969853754,3597839190,1858877568,930621729,902164408,1507744602,4677372798,5763778866,4714872550,1359315282,3528816840,169657074,1851945226,5170906328,4067018442,1751883485,103898144,3367697956,382221603,1659886054,5245968438,6401033856,1448098446,680433076,1391633696,4097171970,1226315215,402609040,114254709,2785000916,560802490,932354454,4689486792,6263539611,959268657,147007728,774278960,2431993401,1738489288,7740409288,597885433,4626194499,4456639187,2877605907,1388414036,8956969272,600865620,382082492,2110711869,2718909369,1770366876,4317210604,5415895240,318766280,2549254575,928670887,337964739,4564515676,1248657066,884005086,2422890792,3257289416,419171544,1129945662,4180554276,137010771,799419368,184867285,3615040989,3375553224,752525696,2484452616,1368247926,5075238784,837733097,4895000255,558583716,3529487304,742378582,4420446558,566545368,1746863560,1224248104,977333858,1932683676,214315502,7529397288,334478442,719950072,1278976239,1706487177,8656001847,2940292200,2884879431,1461736400,2925285864,1497134988,4257323546,2932972935,4474769184,11462806,1882941926,4730275970,3026465488,877400100,68736152,4744520697,4357057140,66396626,1026373287,31990014,867332508,2174260890,3411279864,43835805,6019577344,3203274702,5295970908,971805357,64025596,6596268546,1713561028,3764084574,2202994676,1156288056,1851487272,1609154296,974608599,589316987,2755864689,4457736612,449483528,973583376,1599682605,1503527015,320235924,475327480,2546216199,7568409447,1306908470,1805649855,805490514,158594085,758565577,507401940,532140084,3816528332,990973895,6283438910,3344485560,335417596,1531096616,2953124442,7797486618,3563474782,6545020376,4984751410,994000174,926906720,42562650,3489959900,4436581072,430755642,1336951868,4922466939,1163968580,694411362,2218395004,4772410488,3755922825,1666685366,217012822,1222007996,1239987386,399364192,1252116432,324362728,187436724,1497625038,3605812636,996005210,971303060,3930529026,5504138904,5157719609,4983825530,1746880710,3339561800,1077021860,1503610314,6710220377,1422652650,347848498,925347293,5535119529,658433482,2259017160,4333496405,2055242496,1150551600,6991305728,3943744640,2561831220,1338819278,976995377,3529388304,3796085394,1085423265,527806776,1028015856,642578275,3991330465,753803524,751371618,929288766,4279305345,661226040,3804709158,7043310928,49457824,6299176648,3933103776,859859466,654514180,2000709861,1944833454,499659216,142070048,1024062400,4443647922,6413460384,2184739832,3288577150,1319012328,651778628,7957929704,163926801,4926945856,887882108,206689757,3098300541,2119935645,1612296588,264349864,550862696,2762620002,3707453358,2010357396,5467621432,834213888,68231213,923511713,3510834795,4056522330,34938026,253498593,2584311504,5030511660,380534112,6920925616,3183783831,350727178,263041296,2761683891,409078321,254059655,7998832936,611777523,4732050483,3727562536,2962359533,2256231010,6141256303,368474351,97263454,217954851,7035582480,305402268,2417290725,1656881708,704418933,3645601305,2107876776,772296735,763854594,1212736833,7840731447,7539546015,1731134324,4034217201,5816617954,3914133293,2757117948,174415843,870134844,1009748826,841025081,2975622153,762420032,2041189029,1098152225,2284806444,1538780626,1665941944,2319278304,428154834,148523568,516363522,6577452189,1735121760,2969425605,2472838194,4719866760,2301207727,2066931729,72856078,4948995410,5336356128,1161121688,69458949,1661195784,1118258289,1869065364,3190345130,4161285712,3033936356,1566916942,394752700,552972590,2191730121,619038306,214103536,6687595271,4925613540,1874596944,1347130392,293203772,5752486356,1223847632,3646449205,1790434254,5372828397,1949948937,171125080,1343883206,1757835531,5662022526,3408174549,6467920984,4875708621,4985029710,722133642,60662967,1212901420,4030749657,1799380165,3149083865,1332609798,2397396720,1868688916,2940728340,1854224940,1935863152,2609734355,4983765072,4272246160,676543274,1097088231,1559502090,921561210,234418760,2121744870,1246580644,3064788276,279500460,3129886116,476017207,1072928664,5432403130,1825758754,2747815976,673143408,2266989120,6454725888,4681791395,2346462032,1182859678,5006877354,1985557952,27355632,4818078349,1086304968,582724653,1816005168,916625570,596361198,2951713604,791304532,4218272814,1637588970,918603768,8490449547,3272001604,1445402596,2372855340,374747040,5226431584,1165869061,943616962,1283285676,3806856312,913599224,418567960,2627468336,358719478,3636518240,499256844,6431685705,5365749384,2763857562,1131903,8943473106,1248535554,3304014822,3757955754,2927070594,679897326,4124326203,3188350548,7665553719,569964230,3370117952,338484857,7371877374,954659260,2758893456,5989626184,1979913780,2339427096,649894392,4038877346,5959234719,1381797360,1157382195,4136544575,7738187864,3465748206,584964729,2828764935,4762183530,7634100483,4288251930,1427861560,815669685,1203981558,505704520,49218364,134330888,500907056,1690898305,1248545748,1412937876,1740350408,1351382988,1737913745,928285181,497192129,192131796,3181297376,1149470272,3994059030,467245335,6106367888,4709844054,4847228346,1252370766,1362360861,2263033917,993935736,4536018567,422913431,2431060500,627520776,4733418444,25056508,4138356384,161340703,4996588311,355486512,285356894,8425466271,3251273840,3081167055,908137774,1915130268,3066439460,4436573848,824166396,1355026720,5933266927,3909672909,4079895183,95227699,109437595,1537532356,6170226840,498529389,3969983904,274439332,573573084,2535552768,474019868,808561512,4467587344,178978161,2629448388,2573885835,300036704,6690043053,3603759078,4595517378,3468545748,47187024,4713317640,616590686,493587722,2756871702,1065624426,5506642884,234841319,485267145,3106625936,3975942061,6330544472,134501104,1892527356,141564300,1320811037,5408900778,1436902224,808873698,3627649924,933121367,6084345616,982589720,3811253523,5856564681,6037489215,4838025245,5214361124,2391224248,1267767192,4225695225,123784860,245808862,444744494,3293866638,1302047994,2812353174,1280397952,581413620,476075796,4434516024,3689949720,845907280,3907203552,1940071956,1511356806,4319078652,4705655175,3546966311,113535003,8266094775,488880678,2431968700,4622599254,153762380,2791973944,1781831654,4460914930,5304497680,295350452,1114162500,946268436,728853575,516165118,1562130576,2976081124,331420752,570837389,2972503952,1624393805,4763212045,4698697210,1689934968,5935400408,2126044610,379251352,164701630,4802010857,7508841824,5157887882,139260090,374655550,479826963,2119413909,2624879690,3771009011,358981248,269324469,2958571782,661769280,198783062,973254474,6987268200,2073304527,749646609,3662813896,3825603888,4247478435,2757086632,2194048800,3841403500,3313235416,3702843040,2377455900,210874868,1226968080,1301043783,2428879818,1718864028,213795392,884584932,5547746337,5526996210,2833373088,1790076618,2385732276,720030338,4407305375,3471044058,3783758080,4802697870,682878716,2833745205,4174628717,1998294872,2353493538,1810140634,8927020395,3823840888,3656132640,2939777916,426595490,314689834,1179890680,1834857780,1421531405,1211216380,4318614958,142540468,1229071505,3635072984,3145580988,731137755,2205129830,1064617632,190063471,4178499438,860021403,483837468,1498176650,127328011,87922515,69646314,730860392,113012120,1506983906,7521491920,85321466,4180412259,1297919944,4997612160,746319287,860480055,5066099144,1656160128,485406604,3454382596,3091927307,21312150,2544261965,2858414965,1416151470,2536870908,1010507072,446357590,4142475512,890254437,48337636,5140720053,23833782,2573411748,2366305083,469548109,734658084,2730168792,424110242,1922412674,2741774868,4361441744,1012259115,2274885018,228403976,6729484804,3164112712,2028801723,1433144802,1749500976,40833156,1817800632,4704013881,1402285959,2565164368,2257623810,302305619,3774701612,671745822,1751661879,6016011624,1420689066,5693783634,3619847861,2867557236,2931126272,1012700160,1785511658,4148064529,5837528028,176854734,956241407,724113346,6301632960,3555863295,2776621407,559431900,1212602725,50685880,456782470,1096079352,5588372125,5383998193,3677587566,3250751231,1561104834,1468512954,831312138,540244410,3478358070,244657208,665017772,796890164,204414928,3107120944,858608394,283989700,2521545316,5718203256,2690928450,3302285992,2229048963,2165469699,2970984672,2540530188,1604125845,1468065316,764993352,1186544320,634366284,1563987332,1377662862,780002077,891340384,365465677,385135785,4548360980,687826186,3481813050,113089732,880600609,994710256,2521249824,2801347482,2934865828,2878734448,2224143288,262454412,590306797,664212006,298016608,7911866907,142716750,204073476,4642287224,698208252,3880235180,1622338980,5008474056,2165407730,576154915,1205788090,2370512104,583631478,1692068400,1138489792,3030540455,7039993336,524813372,981274746,679716164,2978337235,713936512,897214662,2423109410,567010734,2203465074,978555222,3137522220,3229331686,476842932,252847299,1073543390,81615393,205986152,3891684048,4585566629,1213170364,1353312417,895789120,6575070950,4670144210,474650654,6352981974,1305186321,3724681224,1538063565,269720793,2629812474,8818865766,601354927,1010222058,1713279575,5802083826,2335575300,93778040,4937838462,922359828,8800865685,1549661994,547307292,388437912,1719358306,231403731,649240028,4025632095,612396704,4184081504,4290552679,8195168601,2041146846,2614879925,6287352792,275117316,3854824885,937970379,2072794338,8947470087,1108111240,1734299189,1820285958,1693875696,2439612171,98465784,922454706,137008472,773595365,1175477662,205496724,4414956042,5660672232,476461719,1018301055,449558216,8447676678,885686448,3612391665,3146251210,375879005,80460936,5811797196,948192582,1099636233,2144871835,627076800,125570560,787556867,1032840726,993988286,2050357160,890663092,1314222680,3082716376,1196466124,14404726,721476840,5915117712,2082325556,807061075,4763059560,1014489810,7556286897,2159594967,295915368,5391758757,748488675,4426899778,6254601496,4562550162,281299897,1731326580,2671288461,5273270680,610004641,3813725545,5884691232,27534628,3883546208,2091861795,1532189828,5546694944,3938093586,2795098482,1981019934,630762084,6564379353,799010468,75167129,2412429880,718296418,2001658065,2004274476,6524567334,1926741522,8142069852,1313683269,5765934942,2555129660,4716513320,159260843,757132439,352206060,107269960,4813531386,661494815,4884471145,2640838305,4058328588,3574683567,3112524604,3029204664,463959937,3816520416,6733677972,2503822221,6394596282,1706883186,617017746,3214454814,6786050040,5247453522,1139435250,770013544,4845257389,4175375211,1909347384,3628542036,505648155,5743288881,3678507676,879055635,7945112772,4528747520,533050002,1857190790,4650947739,4454443260,1568933009,4310512304,738250074,5900808990,188541295,322521488,5474430324,2225340096,1448236290,4814443080,187125197,1750181245,606255404,1789508560,1351861875,511528932,1243370112,475298910,3171877314,7414413678,1604710365,3794679495,4532000872,1885899892,3001345302,1056733650,3203005200,206876520,1163185700,4472966328,726507100,8386793721,6112045688,179236110,542989342,2265460227,7987877168,5234828322,225624956,1700807810,488621780,4419230172,179435673,3641966700,5874503400,2248299095,970383816,6375114403,5867910408,3242616900,542769696,887740527,847577880,1763891008,3637265944,4225404415,275721240,1358316267,933855942,6865807942,3092723760,2272740780,595317636,485646834,3775800156,1312073476,8456408307,1661174730,1399279590,5691864258,1292479965,561849762,6907500894,885702648,2682461274,86314160,38597448,242609817,3639133048,1112930874,2858374260,5464141158,232561640,6248898376,1799204886,5982418040,1488390660,5454385848,735665362,1367974044,1420536236,964640764,175533467,307063068,1421429805,5178245670,1376787285,643997156,993665290,217950003,1301119334,4765060192,4574328498,842131407,3879387744,230693796,2300263506,666663292,1985798718,1828644480,401007636,3316222025,2729556480,880253941,743632106,580171824,303580805,7529171112,88752206,1808257941,725938257,968338812,382122962,4396333284,1427656630,4691574185,1303135191,691836884,6264936189,1908718085,1207309266,425794153,1364057716,1984144482,2409342750,2193683064,3600666516,445048760,4828157460,829394346,6613427600,277685049,4346093262,2144146200,952200109,323128416,822800595,434602674,3310263048,2656633482,652876364,746011488,5347697034,1981080250,1813716712,505394200,496863309,3957418068,418736286,3792240845,2101203045,3982486536,1514791156,176953504,4336855418,1500454540,84187936,4825012269,963532260,2999932881,299994886,957926481,1703969649,1995311124,1927102689,983866150,460988199,7393631240,669203100,545217913,2514290910,524982722,7703961300,725995086,97422770,1227457696,854746893,262478740,5231150964,1372443850,6313389901,5196166002,175792940,729313226,266456589,2101856896,2150754114,633887,6236112253,2560460372,86095760,1660369668,2882665488,6704387694,2768610960,840323547,79766630,914292768,3094742707,355819395,3978398816,2497702452,3343570602,154825040,176601392,487897721,3970477465,4876983215,500340472,2462916096,2137627724,1238935748,865148493,4491694264,1491272484,91776816,885321420,1973179384,486155400,266509753,3242615125,379508061,2616252138,224476049,228323820,4022391848,249436902,1919607416,906792995,4694735421,28039932,2147945752,3150342936,3278572336,3192536268,3628844312,1147344768,268289073,6792362605,4908230968,1346169890,97328446,2660818432,1838496618,134661130,1820272874,1103931954,4496186346,1217664565,919487700,5824811772,652830298,1755129666,4025898234,636684845,516100552,43801464,4942539371,552407388,4080837340,3169069600,2784849066,1454323425,4054345420,4239665780,2665671030,1459416090,5760670428,767931955,634040742,6952084979,639754597,4979074310,887268227,1972170556,735392334,696148353,1443853750,182164670,4470111715,2613517785,7936697844,1114943886,3348896820,2245271304,1664461162,4200209892,8829473679,1006105836,606883578,1003734522,319874942,5112709240,7822802944,1621169361,1937567372,1086103088,902518720,2333160515,5581706796,3777367000,2726285120,1509257888,415554685,1638607260,5818833858,1820490826,5332823248,2922990640,2566218823,4901216215,6837487552,2997430674,546061380,5003573244,1423803819,3219791112,1399889478,2778556564,518675180,1661513076,4399574769,1591235826,989829165,133759560,6427397016,2190524623,1074474,1387221864,3345771352,139196349,4566765736,4346376450,551764589,1039430877,4724660888,4629361156,31854088,5429870262,41371848,1116236550,6455981187,4015488112,4456371618,968132588,961561505,2229753051,5017075686,89858115,4115995821,2110626942,1454734358,8011193643,152701248,1549222055,440724759,1233717742,505184932,203326018,1086860172,3719643036,3441189164,3890817570,510782922,1113065091,1525013544,1619491236,6214740805,1079995658,1254527148,4117755680,1995051516,2705830204,943643277,2166575540,14594202,3034994576,801426453,3892942080,4236725038,2386652320,1076163468,5509465000,1759633176,4486602775,3727673480,5214376976,860121641,156722654,1394061552,7421141763,2777896681,5011733392,367004570,515624978,1560916251,957686352,751299382,1359689114,2860403091,6108410763,1011195458,4616141070,323078336,6179550300,3744239324,4914730144,1693734968,3968503371,1914392926,4893165846,4738670230,2545875944,2354510088,2274179502,1553636624,839059656,969474488,6632089232,187231722,729092184,951111308,650849475,5027107509,1870047324,1443623265,4125242079,1398409023,1170186864,283638636,1349510368,860685424,3832302740,5915015316,2100777318,3545959904,931422895,568114267,2705412320,650557677,1831431852,5863227104,160061832,4299278725,49275576,2072873037,3077214985,2303839464,167492826,2083288868,2936415132,2071481896,1754751744,3573714115,2008300149,1745838471,6282091354,450288196,2555549528,220835455,339147718,1245835224,4671809955,1548560090,720341700,71220345,938636758,1198263024,76890664,4390840686,1978665190,832107248,4034409165,1461660372,269939978,843720109,59065968,3584957808,5688455328,8289030375,984940365,2046024356,1836459978,1070861980,563506764,7018618040,3050086775,253555850,3593587319,2108295728,671529851,524196280,965782482,2919409983,5434966014,4093263375,821976916,1799537932,850204398,330238359,4942142820,536191242,1256719672,560693200,2406361188,894092950,1642222164,2636333316,1108148724,46155026,4095192015,1962451795,1064428386,172515328,862071140,5781544362,339375216,5531414616,741019403,5323419,2867031213,4829614062,3334175808,1731028626,2515713884,1059186280,314460705,1336926735,1962566711,126085895,4180153980,6025285161,2404198512,1269902064,3142354677,1815962946,228394426,1347594000,1262815098,4099485828,1910911347,7233195736,1462644027,1621728810,2124150,4664194493,2978737608,823635846,114082794,4772427807,871820042,866536903,2261927892,8460286497,4298831796,1438487575,1521715835,445190692,1050773028,1569668282,2828245796,1998832774,3149869645,31250945,304331660,4235820274,778530517,2504854615,4345234266,4282183235,843671500,953548545,1601454728,4171253709,861089424,244039671,5173129416,1589898321,5693678448,3989289952,602465292,2486829552,620935676,3534510732,4837101363,164294832,2505489387,6971510462,766660409,3122159608,653988018,3189776670,4932005183,809378326,4128591450,1389977215,2549793624,1413783549,1022718180,451733583,2402686374,3481442544,404925442,4568066838,2000559894,341170432,3593923866,1844233042,3786597130,1078958268,1469860833,2469947780,1288977184,1518038735,6909867069,7274185432,2518395360,8210289753,1851703104,1588455570,2698787292,2892313491,646316200,5558397136,6116550714,3561296925,1785664650,950852480,1546798004,5687054000,680680290,3035111830,4301757848,7801891380,5045994252,5171459755,6695473554,2543673048,2041502536,5878588056,4640887325,2139818346,616104159,2511297220,3407107296,4552820132,544147724,2965257120,2345443350,1254183945,1972835200,540541540,2184861345,1092685698,1686152902,3417592628,5051778208,66401723,964230120,145890281,68613404,2830612035,1015051047,1050579846,6884945424,2240765820,1034599930,507468093,255288365,3609154704,1793720172,1041858004,555882778,291335608,5984008555,3084076863,237953873,3245453024,1604720958,1364356356,1713415404,2744360368,2708094074,3856930804,1974047830,2265095316,5804916042,3586117688,4220422388,6273054192,3218203212,1608822496,2236390191,3329141121,5068021312,171402227,1021769262,1645936796,1833322252,4624090751,5908515282,4565063260,1231423840,4314099704,4652998520,356156126,3299467740,859553320,23780623,2026700528,233576121,3103861228,4641540,590404410,2429549296,219831491,8635808889,514395019,878785278,1521330815,1911698664,523011258,520655146,4987612565,2318217048,693924192,2369002233,4701260459,1655567991,1120485688,4708088910,466382513,1260544594,569190308,398905248,5425501398,2103976272,2458538292,4514043048,1562757952,2597106856,524351316,3211393220,498856365,1434603264,294945235,4796950104,3080632457,5329342152,1095595244,1842168446,4247835408,5299748784,165996342,1621061235,2256469448,3162319650,1829089848,1747484320,378909726,2318851073,2776647381,519423226,280936168,2113621720,756348072,387355800,12429844,4808716458,468679866,869489268,2956111920,3092577132,1860933579,577930257,7746538136,5812035929,5284401368,2652587328,2438271135,837901295,1045466998,1509915962,1307447919,755219059,376111152,3269758755,2612360950,8693525457,2706100552,4859319096,46258552,2001273975,5874713502,4333331954,156064070,900388833,2754524754,6414568545,360121998,3816253581,5384243466,1331559536,5893615845,580863232,4928658222,1245364670,5022741126,1741631521,831123153,2966587015,1900222698,386565744,685592394,2994758960,790430859,2632775466,7345587807,1617439870,1168948806,1009702395,975407916,2667197596,4449499325,1312952888,3242532348,1064819776,146767355,2365467957,5271347124,2010190392,1624328200,8586084771,5721356184,819870033,5390404978,201288350,536269458,735018018,7424898704,646726275,640588196,1882024394,639389178,3469337118,705663376,1732535480,6929885912,90807480,6546903825,1462638444,2009297991,3818966930,4112339609,2888585630,923269234,276470210,1512522104,2147279239,8667149220,4575858906,5478263938,284638985,6546221759,807107416,167295646,5305315428,789896355,1873327670,3593367764,6936876926,877028074,5447514136,3409512250,3295232214,4064013416,1649082946,1051188312,5408472566,967572154,2852242752,1560601848,1707301464,2368083970,1638972300,522505598,6065211078,188572601,369908244,5586661458,7254381681,852847974,3802608044,5541670484,4728700302,1233724539,5658467339,8964435492,1362662763,1226018482,277599798,2791372647,7151968,4350512264,153628688,230768802,1134652728,4425265686,2121128324,65870787,5446858941,2068935753,403140375,1575017115,3561571210,3561506430,198869056,2535307497,526499388,1560152982,660976210,4464407032,441145587,2850345960,2475061428,576083116,2975838368,677405880,6653432151,996658320,4689360641,1698792544,3759721623,749471973,1335648411,8028002385,3518635855,1034296204,8557206012,1149770252,395299138,5832077760,1970072068,1708059708,3203518264,499682072,2837393910,3340496346,1738797840,2212494333,1193844172,3599441715,2492046636,161880606,6364783922,2833668328,5932125456,7382315763,4310728864,2824838930,2841053720,1903245496,844056199,1946472669,2682740263,1784796702,6048623637,3782108616,1076270587,861497357,925362186,620097248,882404375,2822174688,4653987768,3467631636,858234450,2044913799,5390134740,2204056269,6754278118,153702873,182592420,3476136769,1140332970,3799246228,1215920002,934057396,2754253915,2917052470,1925733123,5656925496,1270530246,77560820,2811136532,926977616,3685530948,512440230,7057394280,1064927184,302804862,1183819839,554108532,2839714182,852493364,710150014,1365313068,5300058654,448335678,4170881736,6067267632,2306569192,2642498034,4959168957,1019094624,5428144960,480032476,3828120416,5922862808,1690542240,588128510,1746253677,805380759,4524568320,56390488,4902011305,4654475410,822839700,148342076,1582468422,792805092,38212294,118498413,422768441,820175058,3525670032,1143710038,4297984672,997280533,978215170,451245108,3104517850,2386732424,629633565,236213244,4049400490,36897936,8816701401,3728311034,428149854,3407007640,3211630200,3603265374,2716557189,2964384555,4587527395,2764821096,801932502,4027455672,2332949106,1494091465,216509463,946053660,289986360,1432187236,1476101326,5717491648,1651174419,1148789280,4159388268,1314738972,2445651615,2177330046,2336576208,8253073296,2461704234,1568296625,1712889180,6660590321,862889171,4839585636,6613412280,1543061112,12482682,3382678222,2055843260,2887454829,3991784336,5667842390,2091482708,4999623804,2169010635,1820198844,4009055264,754102008,987703616,836570412,698439233,3302978665,3332060496,2312484408,1637801760,567801939,2495386692,976263140,2599744140,824083218,2881716807,1361901648,1924244665,1961782335,1861676266,2712231282,7021448824,855470471,4833003216,7407133452,2699274648,663694072,4981804565,6739848160,4278136365,484568630,1737496924,1690427889,4044731480,761578074,658553990,2849346437,2474558322,133786804,5343304698,1344823528,681176368,8194129308,4185829830,3304178885,74473902,2688806358,2331329172,866534544,3216582372,6518186595,4351806697,4781778544,1432954544,5070760371,4876056180,4974873216,7536708504,773272926,3622657140,1117909720,6105076016,684443680,2772141444,4344999525,2876784456,1832823555,4217266585,2535215400,1764690812,4073105967,3350670617,591193310,349788900,1160402294,4519035492,6158174544,2893358004,6398910021,4978331680,4282749184,1900214145,727142302,2015454520,410288460,1059437088,1698823124,6421918032,4955373702,3908679305,900531688,1194345978,451328238,206459560,3736889892,1550694136,839712802,897364224,869812874,1307619642,3978927324,902918555,8709079095,3567667070,2291651496,1374019702,4798299744,627546942,1224509012,412926932,602474830,2835005250,627902648,3365349660,52972882,3283739039,8589688119,640089540,2717441265,2875192296,6015115288,721587020,3148648410,240425148,1645741736,1496983481,4679954202,1813996014,2494469520,4406804574,3936901851,2612329776,603562718,2849488500,3908930688,2920726662,322795601,5315512926,4007486196,2014730840,2758174720,1688717312,6897354256,85980879,870229618,2110766169,1357892752,4876896969,600649141,2063933265,34277880,182181904,7932106256,4270011228,417806520,303013376,1972430966,2194977420,51593086,4189143198,2215305910,4157258504,248407578,4660945740,219265368,1272123568,1690818480,3944726163,2935181886,840574204,997265314,4294163190,592534305,762033178,2236143570,1582618303,4429851592,66704393,1483547168,1625516084,4809573130,5963220011,340359356,4553141152,191605960,1937882464,1505592087,4456892208,8491509684,658950742,2135650440,8347215843,1465847152,264374108,3636218305,643994662,3975015093,112622964,4462899630,2692494981,7365528136,970972128,2191548224,2335082585,3429265990,2418184026,2566118934,1119065550,598719897,4997645388,284874174,3254056001,3412774704,695320863,3062384660,1401756264,8010684333,3996287224,5204353525,2470977173,3253025321,3134335948,5539281992,852689421,7701462280,5706692648,1709679432,2722661154,2472827562,560562290,180333173,703732684,421780908,1898390230,2157022260,148333608,2499363402,3729117427,2951962425,1365814660,7291864400,1930220201,2215352118,127241590,169021085,2918532516,1433859415,852903852,281947580,4211662344,1458671400,1111758648,1552183604,2052761544,931695704,3818696825,181699230,2990315049,3355793976,482848123,6301551907,1304641864,2155748030,980879980,7996520394,271582763,1487067800,75224105,1831678980,3159288810,2332296764,3485682810,509687068,948942644,1199657612,5870323764,1592726598,1769958750,3292368102,2309083842,3056276136,950359638,1356354090,1738705784,7678951472,3721607274,2843299632,760832672,155714636,102718300,1578825052,2044597510,478310615,1854633277,1202950865,1215886112,3983081265,4934224127,1439491660,7259788904,4443337695,4976988870,3176731465,1042503287,7294135616,5619929329,439918106,1282790110,2261684079,1748021108,1948876002,255991327,1223801086,2202804294,739083266,3202684115,1039611228,209621336,2993731602,1149863800,1000197168,3569601564,764233156,3651164559,1516462674,990762872,1576102146,906864286,914208094,3756538712,3770815496,534017129,4521207728,6452437743,4594239735,5644496298,2946269896,937434246,2273944509,2192809680,4318469754,947584072,5476360599,2144494263,5888184570,1179750215,1030695744,2567937536,4096705896,98359914,4768228633,1273328142,4491754818,2898038905,1186741448,3846332912,4559200101,797782348,3457676649,2170405035,266388536,854111030,4181285060,1340058684,1770963246,2220948906,764824612,7907828,5949949902,2292524550,8315942436,882161276,1892787092,2642893101,777105748,2917418148,3290579820,5792404478,2033691309,2311021390,2799888042,107015332,5342932650,6568660521,991503344,3253962131,27988968,1638844988,2835718067,1890260904,3679066100,7357754628,561393728,541650360,4412785867,2470832163,3082837584,1120950904,128640827,5344518576,3304051296,168556372,2775692115,4834308060,84154333,974341374,475197018,6801068043,7164360657,4363562370,2745538628,1885447680,8633829807,3774580035,6357869966,3253607649,3929667925,1258041384,3531620853,6294769480,2783718224,4862957265,4342147570,8473288689,4100479338,2019634615,6713428896,3258827752,2658330744,984365546,152730536,303428385,2846966492,1591132446,388000846,5588165856,5055073947,922426205,1378223900,553840060,5380920636,1387058781,31748722,5186356399,5681815184,375313501,986954976,1227294170,2752188243,694983208,179456832,2804300920,2273552994,769002224,3185561076,954021740,1508161296,3064168428,4562132970,5934206159,5356290198,3669647844,1282366203,6737593374,5412411944,2637392425,1481733321,6335582400,1917900288,373118169,2220432876,846130554,3009328612,3789880496,4800229875,3551544582,1306586510,7112795175,1127498772,3571904984,2720973934,1556929227,7205166544,3268136700,971646150,977241948,1767345022,4314611358,701210143,320257469,19027830,535615084,4939530111,5204522192,824012390,5741218104,642511199,1052539914,3088777004,3333342490,6328612318,4860358920,225136671,2753416351,3066037182,7922878264,314678622,1483917232,2316470496,1560059446,2968449852,474708114,4794008706,5727650994,1941897044,7932891576,2318193669,1535422740,928961850,301557160,710966609,2018742171,1313581028,4434039785,2613884955,3781006360,3055606494,60665786,1440146424,3757904535,25024891,1517675664,764334184,4219898560,884957879,1474049490,2813453531,765316691,741413056,6452244106,6173228894,2913072504,33096232,2945393361,997775765,1203120128,1276537686,588665174,2701075866,2151540,3614463624,668374752,4719191864,2197604625,5213065136,4735118024,6155066096,5530866480,5303031138,4030990920,1965517954,6488168913,2706691245,1947692790,671862192,3277772550,24582591,4469512092,1694181839,6597315277,639774724,281867940,678722074,4474104075,8631556920,390297133,3406952608,4085193969,1612450248,1249475842,151226610,1473484596,2616207141,3220985940,726952324,1973143608,3454750,1956255555,991111381,4633325935,1611137802,5431140792,3134738448,2133677580,3517897398,63776405,1045901835,710043676,1080099168,2436450108,5185626378,6127940768,3321472336,510888408,3390947436,278208096,985723192,2779734748,907259249,1636573292,4008109356,7046165216,3882780956,3397086804,3562656472,3352106988,614074750,1208399738,1906823576,4172603192,1915314186,2008736763,1170672503,5299713520,1733158562,930414961,5512839150,2969878059,3658989677,1329479764,7894381590,4349051935,452583825,1490455260,629803995,932903238,1153252696,1859678680,372941296,1962616974,107527919,5981227440,4720209648,704813460,2659660570,355297176,970204848,3219783720,4809586816,1113610516,853598122,429341380,1113202800,7029886096,492477352,2315680980,897166095,415551618,5778051630,4000465392,1613561992,742022384,519268182,588446088,1709897142,383687398,963224065,1502444200,3882708335,6287366365,414479028,80294920,5492336427,566404422,2560064880,1977052755,1465772120,1490283365,540161590,1363446360,2043096903,1052197572,6109026154,294332502,5900791190,4500768736,2328721040,2641417728,2490988191,3875609444,4992571620,1813155260,8644856580,4712147112,5001532004,1566613908,4719085788,2137968237,54241986,2268707484,4538394280,1329473612,5353031604,1642996012,1895775624,1485296304,2986618962,2108344818,3872906754,4135871907,1316438427,3692387730,1239272862,1371719788,1801913552,2420705202,3368636032,3851004768,583295580,3554286768,1370734832,1623308478,1991815940,545498199,314292294,5386465693,257684232,576045566,619835262,3551368620,426777236,1551524964,5229992782,2103543261,1155434086,4613527568,3159165644,443132187,6501415123,2902054670,228920223,1632519567,1288462776,1141569373,3871743032,3335998104,3162363816,571898834,385551498,1883381290,6523040300,485690690,633085948,4271616325,465155628,509261220,5317530428,560736033,2427016396,2652095478,249869372,8286645933,1669813588,3230824704,820157090,305882305,2483903845,2396956824,393860416,538188276,2640499149,2383266210,3891411264,368487318,2307162044,1614199008,2153533086,930292195,6434206400,2240456144,1934460010,995687697,27848489,3553822650,3189398132,3615425572,6970769226,556430589,3571355184,4488984810,487729618,2961783632,1577808512,1670020344,341759184,6384982520,769335828,1043419338,3704472681,6048173565,606685698,3960824535,998768078,3959223400,1385159937,998692612,1533497548,5736774123,914116528,3228524760,6907973784,5635433880,6429138456,1467115728,1496444018,1865657252,405492458,1143978844,458122392,1583098644,790823660,6501553392,771905204,1255074730,8647624476,668189835,5046400512,7612386372,4274594840,731790750,3516389992,540143124,692293436,300946993,1237684732,1602821208,1989546600,424863154,614739954,2023032240,6356411704,1505144368,2600433820,361571178,1897555226,5913587211,53227624,333862528,3209287516,579449593,986097818,86548576,4434756685,315728170,4403246808,2664989436,478589606,2797560063,8845132329,36613905,2069441064,6629510120,8844736599,560004256,3445153002,4511348600,7053295056,2236335504,1180528406,1318306362,330338442,2979580860,4560992919,683624790,3971585208,3803153102,149760864,2644379710,1088566578,5280975027,745216740,2120410192,4000795435,1401819564,43928416,7227154384,168690519,429841532,3304347354,2419024200,942904360,1852372824,2495402343,2320930700,2982090895,2827141910,166461402,6703981088,7092659700,2068551780,73837550,2613152802,5421753204,1992484175,6748856905,1274485961,317708684,1188027372,8454375207,5326295849,8897749902,167283128,3863103870,357076548,2720842623,471126768,1890627513,580521648,1777420276,7565897520,778386272,1266250614,496604710,2870633604,214886885,959343046,1135903512,2087073384,2340279087,4957070106,607238198,999429376,59250894,3932052936,295791670,7606541214,6518845396,2517606355,197231112,1851543056,6182903426,4427733548,3241224775,6819035184,3282946488,2134657743,4094719254,4120773615,168878742,71612855,963560788,937299028,927869663,7016915568,1895664480,1514209626,943466672,653506616,5700292206,3340400526,6442998786,3266691536,1350874514,1985386416,4018301105,392591044,1068112880,1377235592,6204753422,453581304,3501561846,3144127608,491292245,4246541840,3381487536,1301996432,1456057912,3653812664,6226685244,73927854,1581978728,2898750642,1408619378,1580415076,1538014282,8746715538,2372804616,2368144338,722672960,1721227644,2413567485,3253244253,5952607560,898403417,649406256,1944168552,2763642064,197098005,998964799,974390832,1604471720,7174139008,1117544100,5375729793,839677888,1173007542,5926647993,3038662490,468728252,2720475855,5292353992,44503412,742895412,1777710519,2574085784,901287378,3460911440,612187556,1173641112,294186168,4345599545,3275292280,7937943648,5966085256,2348608710,2520759420,1355983086,803921080,84307384,2236340799,2884216455,3230713356,5034453750,2549576770,1815997416,655224075,5353664589,7492709187,2309067099,4810158552,1750401294,205526958,1643465720,7951958109,4568164560,745613295,1163124072,5457949764,2828311863,1965764559,945866288,245493789,907154382,3440709360,3251822382,229512280,1181437586,761001332,3976339235,4473172360,1966940400,2288066508,6488306704,753072677,341330247,291622580,2706756805,3501383976,122075813,2144003769,653805556,25701304,1123691796,3316784611,1895306648,240402068,846674972,1156472894,5278244208,3770860548,3153823125,1170351698,5534648100,520881592,1116138930,157115880,470724042,393900349,385961411,2736199060,1768181182,1700020128,756950700,446965308,611778746,512683632,2700522027,388068471,5298907712,4002591645,2689454940,1323498442,4681112238,1069847512,426854078,4653684532,176419256,2770729452,3842527887,3326094452,1243112478,1793103286,167461278,4144404222,877964976,3138381168,1826878728,2259076104,131160498,1534813548,6125007602,1839102219,4557437700,1606330424,2518023852,1093471190,2499203544,379480149,1306231752,2737702098,4772650392,1511667308,1622416401,5662464104,411522327,1382994802,4308719184,2146389952,237215920,3764095736,2273654553,1135274550,3513198664,560104764,950316303,3417691772,489141196,212296545,3835554152,2416462384,685608881,2544247937,113229352,6922960480,109720276,1894941813,1470828752,75375711,1031901104,1764638640,3534388512,2691608990,5493170235,2689919547,1254248433,1597207008,2953204656,247956569,1965271476,111387287,2138553117,731338093,349780755,2024309315,1294250970,807392169,1811267280,1510931295,3145066000,11389471,3824151725,4450615152,6979008316,456314972,2837679496,369185303,5718940752,1701436356,854456190,1353861486,4321585600,648502664,1068260172,1307322249,3458197740,3449006680,3766285686,2670386682,3538621968,2151161952,1717070220,3278037480,1836182952,1604073492,3059184450,2314662608,601706516,3501439374,2319557262,2819723700,2608715580,7793927946,237270120,873366144,3633289050,5661653396,3467062026,674809002,118231108,949581438,2130888933,3601581936,1579883859,6030337229,2920519476,1476727745,417405782,855483574,3447666492,4146109530,1238015905,4263518985,5468715405,509360208,3792864681,6176215088,3675888100,705040880,3937657352,2664971205,883514798,2286741584,6126365000,4885711848,1007838312,4626357935,1765587558,6121191656,1437415110,1346908944,1801339536,4082363100,8907663006,2753480352,3105718664,4524931670,5370462096,678221406,1991556308,1780164528,229568358,1887854616,4116594846,646606346,4370121081,5403423312,706246878,2780154864,619516088,5775480396,2865691482,2484533397,52295155,542933203,5245560564,2580141732,211908396,1772267686,1728903660,489825,555486074,3766346345,4868244003,913841257,777263143,758892744,1596150258,648084620,817682121,1954953988,1186592322,1314416700,5602003862,3266440425,4249894092,3737863150,166900566,7109088966,186181464,1786495110,5401476129,143240743,826153888,1533689760,483573771,679250401,4453006092,2797865370,52450262,5704836064,371340600,3404762640,4907225960,264197595,3003799924,4315670600,1621542159,2901304072,3061249008,549603080,1775631808,8999549010,2218431420,889038694,1245772178,3967054904,2186954088,924232770,905721550,864409867,7130927007,3486028620,3350022816,3521960487,7812795080,2837292408,6652821896,1360480488,848006850,7769116528,618934779,2299118205,4630715757,3492997192,1489342866,6090670053,3319165444,4482489066,4551970734,3908327108,210832128,1684791964,2188830560,3425652550,4945721110,288935988,1760645180,240402983,2154193765,4431986624,859794040,2995372616,7336908672,125421960,3712534025,310893121,880887268,2524657374,8421416055,65563100,539654507,3401638990,1372930705,271844286,1082314860,2690791192,196020218,1750254289,5150489427,1945774524,4984073080,5102961848,2931627678,5179763862,527984559,1649253760,972914640,672609816,708530495,401551712,1313792200,2880143945,3215698276,1305774659,1615258250,2515274040,1523537334,788338760,307370784,1743997330,2395551704,6477293583,913004763,8501208273,3480679812,287067706,5149294182,1738058196,2296915270,2785473600,2001036390,4457874519,1923590928,281557611,3059315420,164757708,423720549,3817992960,1044593541,1689734465,5180893081,4642172640,1390635819,544465583,2870922084,431183162,4335749810,670457248,2449324950,2949633610,3129552740,1618371595,1166871159,114977400,1007191034,2103501883,697548456,4829916056,332623594,637879136,3991631024,2120010424,803894349,2297020860,1737053088,7452835656,658054701,3598472696,2138653482,4466270960,259563590,4017959379,1976717138,205428860,1493116956,361693006,1645500070,7119110052,656420094,3827566128,894392970,3177291088,1280644575,228693997,467095132,1769023692,4909346050,1340268654,205921681,629200575,3117692484,2569075224,166771969,49539240,5909610064,795240364,80769952,2247761652,4831411361,4652986800,366323508,2934254841,1510528652,1737131679,1659793597,1223801665,677895912,1379673060,5838376320,3299803644,440017956,694084688,370320962,1585644152,1152720862,935518422,1145625018,6325476472,957502556,6997426568,3187437112,792390947,2542946427,1235375709,1508758648,350369152,1054558052,3108473460,144743589,824308880,1829767544,4505631090,1939934006,2443290430,3558867004,3502876428,1489734945,753210546,1307774142,2565072324,2485825551,1180564416,8614706985,2177849586,6766083495,365021025,4970912112,150510892,994484591,49596507,6744330621,809855345,3176805936,2185746468,2232852030,6983856080,6303249384,1583400666,1143223880,2807079976,1890001718,3885348432,412725760,899393923,423627053,1644338450,4339272000,1650403732,617026900,3454325916,813820504,110528535,2364682023,2623568778,338606931,4067069392,658944108,3187040992,14665032,789193242,3192189480,280287800,2881007859,2179089,4932219516,457911608,6415083885,83481042,3836480515,2020096128,6362851360,354123279,1934935593,1035732042,3770389104,4859427670,330575578,2788719480,567669224,3998621988,2128105048,1349874447,1966442850,513329337,772075258,1592924550,6953737864,5966779686,1742334184,4537144871,771590004,2590428330,2870256912,1720221996,8642347155,2293742070,3827029816,551319924,2263511046,7308874359,1471822275,2957903250,7295370480,1087978012,453244280,526947162,903335515,5272764288,8238728259,2049098810,5800171560,4877125638,1066150965,4499113210,3089541820,1451945193,2192659154,2535852636,498378155,2269535805,1161126666,992064918,4168857325,1087827036,2223686888,171565054,4427293864,1893211750,850237478,1751167602,188290012,426555563,490690599,5339939154,2246915164,826400833,455699000,7360281387,1424855136,3610665780,361523049,3433077318,1720840670,7687965688,6219963547,169358988,898155892,5888884959,2989199367,2104791051,1804062562,2259243980,818285860,2743517538,4283064815,4462275167,5622682779,5722892624,4890053655,1845885609,228144294,779763414,5426809302,5384659086,562491530,426083440,3656608998,1001032860,1525609280,3741336088,3996409340,5991176610,6502823824,889323687,794244266,1307268832,1693323168,1102183998,2034772280,1143100984,44610884,682439654,53059784,1988932484,5416417748,963580684,810566504,2513447305,56317917,1979064768,255582963,2777894872,2104594431,1901772270,396285507,761178738,307666375,1685518088,984269052,5857661404,512011452,3840035540,1843399290,4686202398,2150712474,402628151,1570280308,3221038152,2050443414,163319376,871830225,3645511812,61689752,452911780,1957641910,1847380701,1934495876,4558692135,5807184120,1033090225,5771448984,3257921400,1924045924,807777509,7555137885,2054783992,1458998585,5411288496,2545937064,4341756048,3874682692,4525898940,2719941588,74482328,3821393728,697637798,1376653156,3277256562,142637064,8253339138,6535843503,1093264711,173325590,3934304402,664531530,1616200660,1749497884,1018616220,3781308552,1488327796,1837596644,1950403189,1106278152,5326839476,3924107992,7525252611,597422088,844522830,4669848904,1700504645,1232484075,652192032,3676965568,2250455400,1695640880,760204410,1594888253,5848676393,4269466050,131726099,1075232862,142832288,3622712280,3386465544,687343650,1153300428,7672858047,1430794416,4951785944,1642872536,4086495504,685322961,8697589398,1650701886,7696913490,4232761542,1025731752,121904930,5955456,5270985450,2269722960,1521992065,530324888,516672189,2384626260,3126951108,3935444226,960465972,2882365276,600746884,4408938954,1779984586,941969931,666833885,4451875414,4495646241,260309065,2815427976,1381031076,1195282707,2184382540,5741730426,2441696193,26100575,3340984668,652815588,1402242334,4700066623,1446666850,1908637564,277812654,506173311,5656982884,2945694416,6954010902,20903690,879128465,1041587870,284446888,1769885229,5078568187,941900152,213138258,5413865508,4271525676,922535796,2810481735,7094809566,4885078437,410283912,8832893481,2093189560,2969220651,5744677043,6593565818,5015011584,1928784225,4506013692,1783752630,3227210190,210287892,6716092257,2512590428,1883336931,6687449706,4820927365,1355119140,5278893376,1453436672,2544256408,660366369,4193781246,3103641488,795542601,4074369430,659507184,989078569,8758046115,4776276946,4306494840,4798620900,1398760960,447424374,823240587,265365099,97407770,625266621,2071398980,2359697913,2975606070,8023189509,2709661326,4989093487,4739213052,23632629,3663121415,7511018400,275361478,705679614,461913260,7759298200,408087214,589396994,4056487620,296354597,3955378566,658814104,275445158,2625797104,3544716924,874656828,85645924,567048755,1168698496,3610496015,1770805876,1478857612,1458212225,2512825242,543629850,3771731070,3483700164,505624584,4294304262,437726198,826379064,315138250,1940481965,237826125,2805726948,8471808342,1544817426,10012788,3013092348,3393939460,1978061790,923518314,3228990960,4995826360,3671973084,2798425172,4484789685,602598747,1728877220,5451715278,3429972984,837623280,3224729320,1589233770,4375998424,5198249240,7728477813,1331091335,73014658,2484958254,6023426480,4266768848,530391780,5357125314,1134053121,3259708242,868205520,3230665115,805343232,2054170956,4374261960,1156368666,2343961665,561295346,17031225,6608678724,8480743056,4629552790,3170895534,1228281516,1451371824,289574766,525271065,1415407512,1606161962,682245286,1261052600,87000705,4547754090,2505122184,1709159154,2283316200,301947156,605644228,705489470,232113332,5569391322,2240174380,3997968268,702766748,724581984,67557342,707663382,3598959560,2098786284,257041616,4196118150,1124093848,5882281236,7944507252,2634156774,6499742613,572310680,3437918964,580597589,5179886464,2705816901,4935193445,61770034,556016760,2715402789,4707056583,3100795700,584716426,1331464496,2722983440,3071317215,1226470944,76516812,751350368,3728033304,333918894,4434135462,651404762,4664763304,4084732848,1179007180,731206848,6150865648,64662143,1635796860,4912887145,1918420208,6876506077,1449886506,7042488624,3606119330,268753176,1644643488,5999588325,1508469910,246836416,1775519698,2915316834,3313100310,4747531905,7762594088,2681095590,2792725383,7008616359,4073553104,2456444360,434996782,829341861,4921429480,654875560,4864435790,114214603,1870830798,4363073856,263827277,541219320,7209661544,364721130,501622528,4513639774,260123286,446987356,2566045436,31343319,5441646534,3962935490,328947856,365639506,1752933915,2222359050,3823948506,106314192,2590588902,3316564460,2122353048,1372832864,1932062052,2161725559,79961466,4303339200,2207744715,2213259084,3291602830,1816858324,5833059672,215398132,658513889,744884396,865249139,587175231,1418016256,4749262920,2227079554,2142958385,1774861340,1900838416,688995284,3132863270,2346955254,217773249,360727908,2991437937,739866724,566403604,863401398,3420739728,3591793280,418270119,596397812,1061128566,2610118816,1623324936,1279695906,4214871600,3192463192,2411366728,1445823065,186214989,3903445585,197454885,2181016797,1839736282,5459332500,2748230035,375524136,1738084818,1447551640,3046264520,3555264370,275656272,1689233412,2214390879,2679744320,4939884150,3946111252,418883952,4935650085,1588118178,2027390004,4872085765,5478718032,467407468,4886324046,454170456,915166246,2739387888,923857914,1261100376,750636459,6639603208,1401734176,682668925,1688007774,7545763864,3661087419,1874367774,2156396382,309245540,3990121830,3240097584,1105598412,2760594198,1442794670,2675775752,6845064338,2453051328,6340195926,5445616482,4231508442,2291831770,537429376,4815340845,2724657300,3937794480,1837082708,888062044,3073490212,759461648,5070719880,119180027,4210697575,7192664460,4879017318,3427029720,366020734,234577202,2787447885,2978281653,984634966,2595998811,431308755,8604875097,257943610,2155151565,900917023,1405878048,1225722843,1870434280,2660340921,1038614019,1678645221,3837148945,4099196290,1350284504,6678246429,2586792555,4858624608,259350453,2273388543,3743786256,276239727,114331203,1678825360,288140202,1554473746,1772780049,2041169736,4360518043,6114494529,845461134,549637265,542753648,2321725161,788027768,512407804,3841123076,2142118866,300294399,775210072,1564603533,1921744782,578020112,1102217481,2254251912,510544398,7974486738,2087578540,1368069798,671858334,5861048088,2925373520,226029177,5731740889,2626020600,944577795,7563964024,334996592,80786657,44074020,6987441440,921337098,240834390,3622349664,2275782312,2351078472,2446409135,2806884731,10745286,378122199,4125441195,188938976,3070825828,4313010564,3777587208,5614799239,2399317614,6157669378,3766085112,1014197225,263927465,1223031468,134313806,7339111083,1647546088,437634965,4575330205,1778129001,1446639532,5858006697,1467977095,4786770100,3593050265,5204761849,306428769,3216368525,1223786668,1379435100,9391416,593811071,2372672000,1775187113,1815374654,156973713,1086093909,628769586,4903408165,1701135982,83722450,1614179136,1460321814,3328433808,1807676552,5877116098,1437861096,2916323272,5452717473,5985301248,412329471,419814718,1402659104,6997894336,681320088,5771824590,2653823176,631410913,2442261080,5069318250,3551320208,5190762180,771531312,25919456,4894668896,8068769271,258145326,2861957124,1466585424,316018960,6702882403,1646588146,361166762,777436630,3760925790,384512651,522967581,2476299188,321262813,343047635,614623342,3528064484,3030024195,1083822840,3930784710,689335752,5294472978,1797713267,5280528323,30970242,540701991,4489724682,440696721,5970650964,3011315748,3405574640,378353812,3613338108,6689643768,7091056968,318367652,792913347,919326138,5083104670,3667319194,2773708065,3022208014,3181418172,354134080,6962687711,1334480403,3787076489,786940377,4507709580,2005782654,6611125969,113245978,142267741,1832940650,903202284,898684814,316444213,2961326628,1615341624,4406679285,3702933130,1132151608,6585162390,5322838536,1923264385,2145989860,1753802842,2178820572,3735968530,2591834105,342065290,932438530,2011512032,3334671108,480734271,2506568396,4593000870,6353196272,245240002,2128522040,997304428,5310001638,4227763866,2848327740,1983849252,5950218276,2836030050,320030212,4102801254,938608888,1194627474,1476653800,508100766,1470497733,971009676,712725710,956689913,2247405411,4262524305,904093841,2895955272,2021190052,687228045,5939113144,2410843860,717048403,1763008284,6503513177,4905595566,3595124750,480125640,730063607,1113113218,534088044,1961325078,108267720,7991643208,594229730,5210230116,1025105022,5948587659,484190396,583454669,413053232,728594712,4253660718,3133822752,309254747,5064594426,1813530215,2461983504,3502537465,2248761800,1453033544,3985158204,7390601120,4063645440,2076596600,7086230010,71360182,5543459703,2997704262,756746838,2649603236,80929111,1385392001,1443694212,1780689310,948974672,444907345,4310033785,504290777,2371299975,1029320592,7745497472,2378866059,2417958830,5708262510,1856940148,1315845188,4657376334,589737648,3103880859,1619136127,171181960,1714824668,768558057,295907850,1706119545,1755647084,6350625974,2335320750,306091076,129754242,308304035,2805524886,1759785908,284021247,2876967384,4275592686,4688421579,2367128020,298992414,1712913882,610747552,681017750,4027932006,1931092896,2433322255,2613279264,3146820784,134094183,505138745,5567509188,1779769356,1248611960,1211580880,1194082760,5212682818,1029652350,298005295,2703657760,1374877617,7469818648,45850116,1927129338,719299300,47306832,1405460076,229412456,7468498143,1786703706,2784997752,3694084288,1279441044,55226027,2634210756,1912688144,699146016,2556530403,4427444357,197642925,2627507199,1337938794,57873474,8233027506,1814625670,6255850559,2718910218,1605802684,8513370315,1781765655,895610905,2062746903,5064976833,2625159036,2739441700,881249492,360589641,1892821416,3586942863,1745320062,4557783267,7808017744,294131906,4301279624,1158327036,1783750318,1099706296,376487650,23975649,882961812,1548799623,6574195962,298144782,3745960317,1642044669,4994362242,1097898,8925273540,1434816812,593162424,1666186582,2681187677,705666690,4510907778,1915767802,3862957248,3234078138,5527332756,924780963,1645959231,4585982688,1962853653,849901332,2077250480,446337138,2794867149,2029894005,1693547336,1950109272,896441355,5272120992,1315135815,3526802883,762407875,1059677017,4047423045,4004051994,2294397896,2420483265,4928252785,7432463280,3703821055,2977952550,4323408866,1170801498,6564933389,778740918,815962852,7689280788,3892341607,4827949566,3069647585,638959758,6259951472,2850112006,545480882,1952247565,909836368,2108041803,4566428328,2534484155,1775353065,939165147,1278009324,1962381142,1479906162,4282123488,1673261776,640314956,5804176332,386271760,1957437552,7603325226,2095864890,2630776165,2446721622,6683381936,3864563185,1069623875,461315026,1117292052,3818388996,6531444549,836129712,79337782,76562622,1805109340,563729902,453480216,742558396,8704706841,2006960793,4162541250,493657626,289884126,1115660164,6548478504,3451751584,2893238826,481746312,1137250629,3349726188,1149254640,1236937132,4957844290,2594164200,5409753870,2105654866,158926870,1034108355,1959716816,1744739234,2426695218,840434169,322416580,3035612832,1998049914,5201563824,1226919888,1415844081,3169160264,6804327033,128913388,7397062461,879621058,31240386,1079484315,1854844515,2615028696,7428626544,4049051886,758287598,151739967,51647982,825357520,2378808363,7092105600,4030216608,2233695522,1274088512,20704491,613495952,4365951345,2945617670,4863775080,2760256793,123299764,1053022964,301571270,754628136,961718784,6477544242,6802210002,637820022,426335660,2574314961,696622415,20711292,1532949420,6318784388,9082974,1158346422,305237632,284353936,2385338172,4212275825,98679996,1233646974,681948832,2963373370,393304437,2333041912,3812863845,210869956,1261363478,6720685776,55425630,4880658930,392623298,7458347520,366470316,1871919990,3137624580,5120503911,5332237834,7808782086,721851995,1400571024,1780937045,34971170,857384293,573101976,1950801903,4636013697,5971801188,2401746170,3996627904,1232528704,4498563987,337252285,5245362857,1095947448,1521719354,4575380313,1934761528,7796616056,2409869032,372905358,706606497,1643645214,2780579448,3403653580,437427380,266703348,4218215088,4212061700,6251394254,483226875,1730212260,6902208,1307714454,3047997204,4747997619,293147811,888703264,793237620,803006562,5398821858,776660304,4954540203,5388653040,2977999435,584907126,5129351910,3569727212,1804797309,4386543252,1622916318,2192760076,7273304312,277286547,1209249036,1558826626,115466088,3020064948,1937945708,2131057680,3514774292,1783046858,1537245878,4630483269,1882952752,731549840,6474195756,1804230168,1804246281,641878524,202960545,1738133996,964064732,409051440,7541206416,2241556552,2294845116,5451115836,6678185479,970078190,373386184,4609163776,3659415057,891154842,1347968416,2621581304,825430581,6519450816,4436403237,1439285142,2710191860,4832608850,3418014256,458255680,330836952,7751683608,3152303216,400605156,1214232600,1927325225,320226733,803775482,4690616166,2147650748,2651936046,805211244,3686341062,1256275216,6305711949,3221084644,951067894,1924412864,5381803302,432230071,1017653772,1576933140,5240617000,194926695,7596954162,2017125455,2187338488,2406118002,99056150,284007378,344135700,6241770712,1397428359,2571688294,6913895002,605234444,1750342848,853326609,1464697108,2296872675,4129097556,2145324267,811387800,5204947433,2971943724,1639278552,4331227152,7460271963,5358850032,7477933280,2672036913,520229110,1806227534,1301665470,6084262849,4567913358,1578421782,1247589225,979931985,2406487560,3075653014,579035938,351813867,217214030,739911020,987982436,5230844143,2785198012,5826331384,614242524,3588907392,3429310392,267955852,1643900184,2872834195,2200262595,677055464,3246825342,94091277,1255699032,339086219,2596537528,6720706531,490814912,6660536274,2633583960,2904389226,1751166514,763610858,3119265188,1777318125,5879666079,2000307379,2854748862,6101325000,280244864,487882591,5402897136,299848252,313361488,575481313,788883272,380482476,508790118,1415877276,4207624910,38115870,65566669,597601280,1476248535,8335361871,2105425461,1620177160,6588618786,527120032,2167357028,4086084695,1573817008,3784590060,1618341136,4199690490,1792096176,1324105968,2971805070,1094962116,1582057864,1065396981,434251948,973742257,643474717,3073129128,3436424872,3406481604,3925948570,665176779,4485843510,4660865360,1980622278,1749323196,1551911152,185711952,5055990408,268135109,4575865086,19864546,243715059,5261793057,2817130968,639466434,636883404,662654604,930114814,205762188,364052832,5251209144,1963136456,400735654,2280614000,65511780,2227276072,3031200865,1876220438,1369628778,621445003,173550165,1032337584,4229940790,1892124036,2646051669,35949817,724005868,438878662,4282090392,4977778134,2434642195,5118942164,3209518565,974399705,1107940845,2268704874,370411320,6300707259,1689432591,7843510168,704013942,1746063874,2852307984,4025620854,125706318,4247670224,808858058,2022344940,561971268,468963426,1631525751,1270172932,2813015562,5945665806,1385809024,381468165,3143755071,3157814204,3335523140,5347398522,4618235416,1639971207,706062632,2075830341,525496073,409477523,2124754293,688862730,904724844,1516700816,1726333964,1911020040,335613504,4459893930,1167945564,1985794784,1060301352,1113679206,1148851260,4067633648,550667240,1981074080,4970161575,1945765728,3971736336,5195712382,3021156416,4889371584,6970092479,2424411625,2978055576,532913661,1462793450,1081213146,573593886,5331959544,775573085,590952304,2465771580,3094107928,4695547550,326453634,2026805672,1178905088,3889734460,2716982118,715708737,599652316,360848705,7102796160,1898722648,843629728,514228810,2079033474,428113774,773867870,4385289582,5105796900,1861257555,726375258,3161501910,4050646245,2843743824,958155400,3471862908,2002389096,1811325398,490640400,1352268488,7643030886,87949474,7540642161,122462676,5064621254,3956894004,1552849530,5523699760,18092775,640139427,3168140268,58208488,4513934152,160726650,468638728,5844539520,3898469619,2305457607,971473872,2358990333,80340786,1567360600,1148501156,1359496647,681461986,823922283,676698085,670438592,5553136302,1320557766,1890254576,4174378482,2391710073,3194325712,2271176586,4201078041,1957887222,2780843340,135217749,2608134792,617522857,4493142576,873151128,223561464,303883912,3531575772,3070921584,1156862235,391852870,4723315752,410189595,3558873141,679760511,1224239607,3541271892,3408265734,7109687133,5881810392,3768314935,1409740948,2116608670,1302527118,1909759509,2907049893,2471209360,4909735208,623668256,228262377,924711677,708510860,1992396170,550275095,809020552,156417198,254938518,5704914042,6543002704,1010607152,5414701152,4358029836,1616873056,231575396,204389368,486155318,362327995,1185793371,1802376002,52695436,1749595834,130429944,526803236,5588993277,2901227585,2439856064,3101018760,1024549930,4591234944,1589623329,1925249864,953410528,1313666011,300029025,3326805370,6104536496,5491822973,3215115312,2488949145,2496915405,1945323678,634509311,3351684686,1010959467,91151656,1371990492,237274632,5710592608,722893724,4381994556,589180992,3565561545,2591554580,1980863408,2492007170,1677174147,7440215319,1236912966,895128477,3603015672,6253527238,6439494240,5408899144,3893159907,5904546540,726084178,1169155984,6920681418,1520283548,5107655691,788356245,6011030196,4385821830,1115675448,46120604,407282464,1233010311,1715771550,2784495042,1739233256,163707592,1111099544,2414298609,432181085,1612770656,2348984196,2231856081,1458294720,3108560284,2109883676,386492222,1868978904,550844168,2169007736,7299573312,700121664,4571934370,1162888352,3859344552,1588211092,2929960692,555955252,6897417288,2364707875,6817163895,61083363,982229210,1565652582,2291804080,2337287142,1438004902,7322454296,2305577922,1979470880,3424391040,587930210,2518719791,6716476984,74029544,931131621,373329696,2294569332,1624876778,734767327,5225813778,673748180,32932288,844778418,5824289163,2717252091,558970607,4913911690,1240243496,1167049628,1759338710,435827952,2120982944,924214655,2578882636,7758124944,649893650,310868010,2339129178,487172084,335968722,738881269,347451363,3648342123,1150178400,841759032,2871454509,1878807133,396628710,241436571,1977413034,1039483158,1165910850,1248297799,1621726302,162958329,722772628,81668166,8997403743,1958429544,3079356861,3917179168,2839613728,2273380884,3854384208,4000482384,2261096000,2208548000,1416958392,4843064280,6801760833,3906289744,3611762368,1123030902,187740198,5213452716,6809056569,2928919512,1401110772,782316192,2514914262,123617643,499179315,2870463834,4708579746,3353837154,4534132365,1116783423,1494874745,1161263032,1728432369,3886679132,4083903336,3120815075,3325848375,345938640,7581783114,3744249972,54740704,4558491336,969897540,431684458,1983860532,4848678280,1515496895,785190856,1862268018,6644641542,796257492,2016982352,6693967744,6228729990,493351466,4451728001,1491143880,2360535330,5630551818,4040265285,3508640736,1447340944,4293950934,1503720386,3993296488,6087546647,2290595832,5869697742,796359759,5663043960,1569305024,1946673189,62733402,286873180,5321909488,2712993644,664830280,1661109456,3535572770,694333764,1230024320,1909618044,499406608,562586331,7985405421,1667202048,261391240,2930711510,1195238668,592742868,332013528,3517618405,5715538773,1116672852,4836942144,495018380,4420260228,284697589,781665532,2118324984,927111442,3768506365,1153811700,5304370740,575010596,843079572,2567719140,454487231,1231786476,1295599392,4013284877,4029460338,5220227064,2533228859,245488882,1720955586,5329600230,1907891616,5516126640,2471657762,2937641980,2055902877,2313126725,4760038400,5649846867,831305925,3056794800,2059048407,2891101710,3509605422,5506719252,3735706734,67915100,4287503265,180206892,5359266774,1868458860,1930628888,2127455190,550149898,8961262812,3621915925,327008376,6959512352,2297430096,1823016498,2743826232,6955254216,134647924,5490989298,6099646875,236173098,4898526840,2980743048,1931564556,5629998928,1370042522,515789518,1125291452,4838784865,1963888716,3095452784,196309477,838724045,588666255,393311721,6283515287,715833068,1651193004,1859445657,254442323,7255730781,3717209139,4800836118,6953152311,2025587985,2007305913,376991403,5787291150,711892825,1560060280,3991325058,3582786872,142190235,6905021463,7647373611,915515760,116576314,4312964115,346869621,508805727,317368133,3829969176,2282693568,6743268756,1898956164,3500438502,1486853016,4293403528,2219961784,4962693617,3703570396,2283911128,3800936,4811198650,427532133,297557997,935948310,2015925066,498428218,3296019644,696992202,1776585684,807936331,4887132776,1209997392,212625625,5339480024,848989740,418510608,3290854620,2743314280,3669765144,3807235914,2640896946,5977303150,1581524793,4107970048,1616537232,3351559620,2844052672,453850961,4579057240,738774538,2932447644,1702211165,785310384,1104915342,1410469110,723204128,1554270422,1012748310,3082350828,5142446034,1586378988,53329640,500709714,1836505840,4483277660,1700121430,161039340,4080771570,1833412662,2565101260,2475462676,3043623184,1166469570,3873155874,7968830168,2748311856,519453279,2934815960,3481134540,2814814302,2005057780,372032715,5555428112,65293938,1112943232,6484181472,5648319726,830470139,625041634,4071527915,1156249208,670731256,2325615678,185104695,1362256800,2976359080,1212452883,3426883614,2953511691,3222617532,2382141024,3760908010,3722144055,1618958556,1122725334,8219633364,3536489817,1993459112,4667766776,1275241348,8994850713,699530551,870084776,641881411,417171543,86886474,2232103740,772411095,337729535,1345398056,603765436,1891144156,814303465,5351479542,1207581246,903495603,2170298835,4340627730,1431186932,46985937,11366580,1260310956,7409885832,2830172061,7582841336,3491505504,411126109,922427239,1096637754,4292616615,2262786252,2681476758,1118676948,3168565542,1951178675,1793516025,283371116,286732182,135560032,131930695,322949778,4484371365,3838705870,3190818040,828772080,4952012145,1084795776,2153730710,2204272216,833913300,1198739950,2474382168,2739624251,5440545530,2404454910,2642829164,3658354260,1258701267,8693720532,1957544071,1808504502,7596670,827672181,5665913775,747948168,1905496032,165158948,96938412,605119950,2152033915,1664266176,4061397396,2472110696,2414429328,374366594,1434833022,6440374283,1371576705,2162072052,444969595,2389814415,443668816,682140429,1774803288,5625082464,5990367608,8123703174,2732202468,3354844672,503178522,7890574496,604804935,8035062588,1116908042,2371592349,5213020632,6548854446,623363107,3244987136,6418433646,3742143825,2116598220,2610993728,3226158008,708691254,522317643,1446323025,949498880,8809289910,78021972,2874392730,2943123225,2379941463,148716798,600635944,809967150,4845909504,925896119,777483972,1629983559,541799228,5230645512,18151770,1064533294,1838317326,3596984199,1867092276,6703710951,2594616124,1909987848,324568283,675255640,1112615676,808658124,3646252336,941994420,1203875910,907968778,1653760532,880872352,1480095162,1144426003,778308816,5516749376,2312431352,184450774,4770388024,1119958155,137257552,2828694639,8541401652,1170764808,318742647,130647769,5993573922,240612188,7954006944,4623552935,3529535622,2336438466,883385740,3274353908,6216099120,5106057690,5979594496,1764633292,302359312,5029489040,1624440444,4699159602,611701732,689620600,621309030,5940450432,1940694268,3381930181,7536586113,652564227,4995390,3903811482,1623696380,4459806780,3699456920,1447743024,1570703870,3551281338,320338110,829521347,3085896666,2856008939,1698853396,1027244223,1092599058,278501334,3958086895,4059735632,1405810308,5143634937,2284665432,99831846,2369029305,4312980168,1240310208,7998487352,327583411,3165403041,6073424966,3188727171,2122549608,484756191,4690657503,2417132109,1883898657,1906004430,1635410238,6888645519,909692888,1173886608,1037419938,4562458866,3646800546,2949107028,3161079840,1806710952,4382751130,3941853480,942969701,74192163,1994408632,520071894,1076332816,6965924661,1720459152,797406296,409452722,272287400,128199526,5625964505,4993160556,1010619862,506749764,3027679176,3294246137,1748659656,111302870,636242394,138091132,253884114,758798763,235764114,4889351790,1481664890,694934448,4557582175,2807114572,2477511004,4178065766,3167137602,3601182304,1704066066,66873312,2857445000,934409151,720333852,6813349392,5622550569,1503037248,2935282401,3120174350,3336273090,407166620,2105268648,642664925,494809343,2142612615,7885642472,884349288,1778304762,417058905,3220882758,1966108311,3440251479,3953059380,1997641824,2069448572,1006041717,3588024195,6161301009,1334111742,1899700882,1342007856,2788215330,2691030365,1898812266,987451482,80153754,2752542636,96222916,392169911,7300417400,29460488,1005429774,2322045691,625738495,4155839405,811986985,212830548,2524783257,253868968,517088000,1943882664,935144385,1334537802,470630994,1603238294,1171085504,3423021176,4894756970,4819690408,744188210,1931186436,95753246,1732617814,5381379546,705829611,2889305432,15747800,652414138,2645815610,2610379770,5663248528,1030871428,1103793664,315006268,2701039653,115356932,225135890,2795619710,1484512362,398069944,4683284520,1060200456,4376426200,1531743168,929702402,5648737422,4931612808,606043742,281515346,582491259,2405598780,1792830330,725161840,1939293414,765124234,200463757,474931206,141401225,563859465,3524198568,2656210914,809627862,679034373,1358520303,2260415118,377213844,910459772,2654057634,2903392431,265997018,73669568,795947086,1127156110,2217363513,1888951322,1686025760,1825768622,1680194144,6107750712,5612958504,5750993664,2144530440,3326101580,8759430585,841432135,736248758,1558662021,366902967,2510311370,842649614,885225201,1522153924,4730348008,1903367325,3957838326,141670592,4191086921,838468592,1070817558,3304954080,3056816016,6036321760,3801073563,530008722,882317270,4621445143,672757835,6591860170,2877963336,3276651021,2255892010,3326955060,792313005,81314796,6212477901,786191038,725697813,2655675939,1046979288,688377906,586214560,404231352,714577006,8251200081,3817250220,6537136494,3778574982,4017926850,4883387975,150876404,1341645789,3688339844,8178954462,1595594920,8537362182,2918682558,488211801,1646103512,2358024213,317119286,2066994000,4763701206,2410357986,574664085,684378081,6239078594,485207248,1849450001,355398057,2332091304,1009272099,2746506165,1308896638,4924896774,1555232448,3211416844,4786766785,437378256,2609610039,862147730,6085322232,2317507370,190888536,2766259599,6231369078,4069121075,2221080660,1875473656,1115161468,4744726902,7608771744,3791081920,7648370100,335768766,2598689655,3548116872,1280550000,376572558,5199816584,5669617416,2620852692,1468336590,74163222,914252045,3254985846,2282795355,567535626,788296500,3865200258,1504552402,5980316856,7717683402,1821498669,3588941865,683409832,2363839425,3578815245,420951030,6097391694,1506840680,6364820896,1650178062,4203620703,946662080,241759103,749459420,2012132769,2338253970,1368444000,3398993328,129896026,35920206,7783754733,5837405712,1408735702,1657298088,1796837642,6529710145,2561649832,2143462552,1618141146,460591910,2175654015,5656318624,1794070730,919825920,4404656585,5906457200,341190888,382910277,761465750,3624388800,2199137541,4443574470,3539406390,120669812,4499291360,8666553006,918950466,6116456430,6032501328,3892752092,3282743992,814206181,4280346555,2625071226,1449200726,7090958528,5394652599,280546206,267070830,203590568,328154732,509176023,6076054665,983776230,407648034,823456863,5615653644,107421705,4451721862,7557153904,6783011296,723674806,249611271,1010831755,1670397596,881356915,1552288388,2958560124,515343521,785138271,1483540972,4635790550,2354390766,1651285360,1584755109,2859891888,746091528,3457887006,4622669490,384872168,4550316810,1363562469,2476836747,4607822010,1945357086,1648932030,570108218,1059652209,806993864,1287631620,476207893,2470257255,683254746,620383742,1627754710,2874274809,193640703,1989700608,7593894008,1037934327,1128432384,696479662,1178604818,898404569,637568050,5859302600,676714818,1699307438,1004819679,2567257480,8752012677,6606080607,4214802284,4402808405,1672441205,2703497350,1408518912,1721220520,300578114,3332842376,2402834776,1719807052,927601144,3258989520,6387900664,5135139414,977187286,2087476524,1650428966,511454050,3603350352,1658527884,6482574371,1704611846,476359248,4595780961,972174525,3631650924,6525055439,314265378,278547801,4754742330,3227814372,6405632952,1846175790,1461653976,4552591560,5163761970,1136500095,2189452698,5407251612,480227970,1460119000,7309280961,553543602,2607889760,1829294456,1201602265,1238528643,4861612775,1002179164,1202219516,763593660,908232184,565908777,504492453,6806764328,1378877838,1276542342,2796450765,224451925,2185035420,6833277388,1914601161,4275427932,2111898964,232581294,2121268840,902195166,1236342168,2940044169,1222243284,1983222567,2789034852,1739577376,1897228868,4895913744,910077468,318726677,3311951328,996606435,4224498216,1819389048,4429629526,6155836645,736948232,4857452901,2515953790,1675019796,21872200,667228989,607564314,1786156040,641985736,5225195370,3347252853,3008358500,2824905267,1103545142,4045186686,2704994154,3617346760,176175533,317966120,1891060955,2724534595,1536555182,257626632,5190131826,3548922680,810434310,1492129446,5050879872,133735476,1230222015,1006115800,715777500,1654473027,7795172728,2329910996,330262048,2837196519,4651939390,764971865,2256898232,382982237,3315752904,3193342344,689451290,2322492588,672536975,6029724022,570423278,7585342776,509680944,1106538930,2563682103,1031831930,1194722682,6643174275,98927231,2735680401,4912352176,640810027,808537128,2960286196,565664220,2588020884,4342405384,250172272,127256976,1606842912,5810364108,321998721,2287060867,41666594,1139609259,601982924,3281602150,1341549544,2584303983,72645179,1545634746,873921700,5234619720,2310862364,2011769100,45732636,6652448943,655791066,409995,628473864,490105921,729051682,2110814847,2683244442,2100758928,1200277574,3116567656,3296995416,1252489420,1535262210,7209389394,1132769490,1422175716,856333767,4827212946,6334215984,114970829,200667050,4447966218,6640049280,984664397,1432136476,274410119,451503976,1615630749,5780474630,289570806,317921628,2702689920,1450022108,20034564,5699044827,2362484853,80013659,942847835,202406658,107388327,7496014000,770851436,391527639,4959045792,6292163916,1132885290,3662781848,2606072004,19348196,5257523397,4952887768,1089751864,3762395058,1388513844,1706391438,28787660,3121958348,291261135,86038994,1741019421,490739552,364297618,1263871344,79073090,4088202786,5453539764,5133504112,2145166632,723302870,4666166670,845283679,1729431921,92969441,5144017074,216126651,1885573936,411398336,53247172,4562420166,696380242,95801820,5654712665,4929527350,2463795110,733890560,1049862072,5159646570,531738830,4009619514,1139279877,425481624,6828110648,610234365,152783150,2206443008,1582029549,2712566320,446532802,4262387664,1742832644,4169183940,1973060472,728566448,7755839656,8492459661,1631014944,292398305,3437581112,4621982000,1997086968,5758702389,1790864670,2296287832,572310984,1384257620,104049814,1689268352,937845504,1197277740,709748625,2136214695,975312207,214409446,1533445024,1603753168,921535195,2127733083,1057275504,6225674616,2871031670,328409086,3163136862,806678144,2026255406,4168691370,731662940,808612944,1867194456,821793776,1693694700,793363890,3054346938,1582100056,3387818728,3703007182,4161266289,1470355032,221341368,395180562,3491847376,39320718,1620074556,3569789010,3293310288,3863555425,492133955,528658870,2485382508,2586983088,7543882710,3786060028,5787133542,228537948,3268019034,344567662,1679533564,668809926,5991012656,390230074,1394145651,2224315677,666744115,835606897,15815421,734117586,403224882,533579604,1279050650,3172869324,6388918360,694331874,26214242,119179748,4390083228,2459820969,430290798,1787878672,2000008128,6293077665,2960579307,3740506335,3088346695,3260448814,5807357003,3894366070,661606850,615188765,1106579724,1456838229,1583299016,2191410495,2574174276,1019571742,3509983512,2528745165,965997887,493759495,6047320447,1922129174,4566693663,4787132910,4563321252,467094079,3000132815,72208198,2037773860,2469387018,2693868402,8590314438,4670967820,5614249410,6382546047,1963518820,4396225024,2557022925,917176164,7769384559,909953394,859048350,2957030562,1910182738,2125730915,5729787528,853189083,6722580074,474768549,242846379,920308977,3158178552,2639368880,4317144462,1559109468,701985088,1354676184,523683728,243222777,985215558,6600609448,95588234,900574340,3518429283,2035705700,3556903368,3466366216,5109939919,1642926762,170002284,2994511815,293540368,2048096736,751270737,1614537237,1636339305,5671093638,8984159865,689984886,206164504,110193927,1347516756,3814644722,8074738800,7736687559,4968116322,4477762446,1504954572,3569910597,4180113780,2948394063,1635025500,674548938,1835498334,3101303100,2111520348,1707874542,2364513696,1088070930,5225917718,834882750,1505268654,6100644053,1887063018,1806465204,1922252016,5212173348,2382367540,1773233564,1991572767,3956501805,4068888325,812351808,3248490063,118506110,1954631566,509132434,3346931736,1696831460,667593060,2624360011,7165679760,132227946,395609108,1847779812,3828870512,423912152,6295591917,3639952136,694296315,3513730194,1041770250,459808621,679480450,814497567,1166535702,437544651,2327610600,1582769046,374742011,2820146900,3324423125,4971176135,1859463111,508887144,5302952168,458039714,1786322920,539363036,781620938,407569557,7227365088,3721352432,8889201,1803267276,1610081044,2182000480,585330006,252192766,2966868744,7180810272,3924322260,3862297840,959907073,1827658700,224680239,6670573320,1137811662,973273674,269844012,1842660652,4091917480,4436364345,7074021240,3154246808,2152477305,3456827744,64511560,6436051056,4180942790,4087495545,8139721383,2380734480,907311626,231275457,625781105,681590691,1696019562,88655500,3136460588,140328986,176137539,844770237,1554260865,2106627467,6173121856,2119944978,3153051486,4012244226,2656984329,1157703722,2970566055,1858485864,2565974008,757392798,5706621876,2350103388,947833640,524365736,2673570600,3278340644,2147749040,4156180281,6142765790,5209858955,964948248,2173223928,304151002,4888818396,2275836773,383435214,690506033,67211208,3167362024,506913385,1367316672,362253838,2153895445,631544868,5344523838,1616000274,1025954588,3096002616,1207785045,1699965828,147547026,3623227445,7498065232,5307550452,2960193280,6529783267,6519833847,7441255251,538491800,942029480,3166159192,875737942,135574631,4291966096,207699672,2211930054,1021149117,712143599,2971183182,4790501955,6513664086,4602152400,2746611813,2955406656,558593547,2061195560,4944275735,5005475748,3010089432,2912399432,2761431825,3704854437,5440980936,1401035658,266261394,2559535566,2194108679,3928504148,1697917492,1082297408,120743318,469586032,546103960,3319917368,1328500680,420689440,2151973593,2763750730,886598197,2579286080,6783203371,585301786,485448885,642647416,2241326120,2047769152,4166906230,4033243575,3214465380,1223233784,670956916,4236515241,4137886620,2669392320,4408299048,4911124295,7458159960,2191253607,1531727384,3231589400,6113471004,4543710168,912234115,1795256442,2116264884,1218299175,5326436853,1628551948,6202327224,918184062,5426811120,75879564,1650286585,1115077844,264094134,3179696832,154211616,5857276568,386337677,2889466146,5079753700,1297539580,1753123088,8190520101,2773629383,1469646184,2305231041,1614307776,491937663,1139591992,1179454310,3283625805,775141740,556086058,2839633326,266893277,3256958565,2478262986,3211683426,904703160,929951973,1067754156,1215409251,5606514515,2635964890,1399945005,231080856,612190602,4808469768,364814344,2117145254,2256198822,2618099568,1793993724,3278153028,4315781290,457796968,71422030,534971634,1015508994,564176756,1137072148,831948714,2090750800,903324540,3613094310,2323253679,5961313971,2792155060,3603574515,491158179,1503123572,149195064,241168218,786231897,316439635,671342686,5938055151,5488734414,170029380,8744401980,122086209,6330802982,1110575930,2187751688,4982004636,584312941,698326956,4077208528,2288150070,1787393853,3821269475,919656723,1874268280,89598364,2682936453,424664016,2693292735,4055301402,1369195624,5888905368,513968274,3459027790,2276529798,515441314,5310395181,347728240,4416298810,1884258342,1711399636,6701883503,2285452685,2706397218,592129905,3737206148,1445996274,5260894968,1900625874,4827504905,4299469173,511943865,5996026464,401556909,3977502250,1705424833,2464910984,1867487466,2635259835,2422340442,3979047393,2741237145,3816726232,1412683767,551184264,2211704400,2257795464,1953130875,823910064,2565247780,312775383,444558625,2568977814,1756928338,261765030,2420189555,495325370,2995745028,2285652642,643044612,538855992,2790703330,180682574,2986181325,4708049304,2825459676,2057781908,6775434932,6435752656,5400890034,4649795105,4818308832,840368252,1759953517,648429176,3701541641,3729710406,3169936332,2476202166,1147972356,1432318796,7113173752,7257218744,5728174584,4605587766,716827185,7917942348,4391786120,2031154024,735723270,5162480352,4910076184,478045022,4332447602,2902962860,1661970069,312488416,290145784,2687033166,3221009865,322152582,705090695,94647196,2815422543,507998068,946653456,800817563,1583804224,3706090080,3166403955,6280630821,521213148,629999044,3136053634,5740274250,1347142216,5439934578,1316837615,588858417,724104804,813492116,334945112,1845005034,1576821253,995555219,945554796,5779411280,666636908,1222570248,834263947,1860936132,2152707844,3069966168,3056162525,632632424,4606424370,5706922753,4779596350,182439818,1659305644,2819950692,3228444200,1109535850,5750774046,125425182,5557318944,2279708485,921721227,96372565,6262001312,3372114396,3655350544,1163837468,267781889,395973382,6771848544,871642070,3584171646,6564113505,1622165276,1622074320,3765509592,3380095635,2215690705,5055636042,930337218,4994755284,721966593,3846549438,677299248,1283046480,632963700,2392722909,4980822296,1326799690,925006,728965104,766208610,4770379017,1653003740,3893777912,1310162211,3132504185,2550088590,1018156396,1978814811,3166892448,881526692,1502927436,1721979711,1299543652,4263572440,1801608388,708105680,593993065,1073233368,3215575972,428105036,188690331,1800329376,3755188806,3656328168,1047881088,626856804,276449658,3470143566,3647331444,6338225097,3791753484,3651440756,1829758834,5133166191,2443018265,1614950004,409823747,4022723278,3761248155,4171193484,3135588780,1271342198,700354680,5584805856,3992129460,499542268,364225272,1849255224,6452193852,3810273232,6775674856,844651081,6542517987,1880875770,1843218207,7263946496,2693306295,2872274358,1827327910,1021599297,1351454824,3634125720,6797575962,819384776,1109696667,1047414872,1306521474,2901936755,687088562,204274024,786826692,2895149268,2794539582,669852651,291095217,3824234666,856820572,2911991013,164841302,1655471847,1071449016,262862154,4757417170,3545510965,4573650249,1196564652,2529451064,3984211005,2293366730,2272131000,2127031248,650493174,6551280248,4943373040,986700393,1807762160,854928282,659636035,1321666482,7272892215,7060080573,2862480464,6951222945,2001556781,3351193878,6385356616,5967282384,5427634568,298816466,820496277,255859147,4982476896,957034088,2534061024,2790246771,1715337288,2506148937,204843905,1069521756,604645524,3090680925,2351347803,340997967,3612907136,2773567281,5419036840,4559648868,8468632899,7080087852,947402600,125019702,349357914,211992096,1910527392,85097146,4024326717,5244129786,3810608415,490515442,96631964,6115585329,2910641661,1515915729,3869551810,390989455,108078252,2135488820,651078369,303064671,46221528,1543729030,615041026,4014886041,3734382512,3395083524,864537584,549396698,1918846735,1708810854,1872942540,926112910,1538052684,3200216,6899656328,4520075772,4403403558,2793543816,1975780974,2654178276,4116818292,46813880,951357597,842278823,5991530400,5277544983,667679024,2569702304,864508454,1392238110,322022287,789945975,1082354466,4812623600,2146272975,3899683200,668921836,4543652652,1289549220,105957129,369802528,4498314793,4581317970,1824397476,2355504798,4462478262,3349428246,741212768,281270600,3628966765,3585943150,3442966804,19232425,1411485824,705698351,6958332542,1754222662,8169361371,8402916780,4325815000,1179350056,2600089134,3844011745,3658153289,971977972,186570280,947823935,1514550216,116071626,7737116589,2825395104,817372909,1152284904,1326183020,3148860670,1907134712,2525492166,334699260,2427124965,579878236,1929450075,450479942,5441323842,2856035205,1102722180,3838660716,3136748360,1214217256,2972489793,5026029784,2545557665,2662656756,687113046,50597086,3193998255,3216057480,2193255128,1757783828,1414273275,725424687,98294797,2041130780,898490324,4244396718,4824218301,4177129638,1570514812,2333524239,3083224500,755183067,712816220,1687218804,159912492,815096280,766277120,1427695430,2221845654,4642376907,3390480376,6881717480,643728870,464278563,1438705968,304903182,1508646276,1798860978,187701980,3964059076,1116656084,1564113424,4669941335,570366020,1735740318,238729314,1372085703,3496251990,2438329590,4469120145,4111452324,1428794736,959432951,3327619986,4794934165,1653852528,3783712596,1980145222,773880720,659763462,834000909,920851249,3993163104,5663419236,821650136,1186879120,3013778229,3101150213,686906896,37668076,1418823636,4468074825,1263940828,3161080565,1374395533,993770227,418334680,394195761,3762560640,2695198350,2196034855,148602925,6335107866,1113040625,2711597777,3663850030,2226143340,5849374632,2356147620,1369410136,500580698,6620949480,5610383208,298420004,4101066513,3827725132,1830349170,5749725366,557589220,2798753355,3488941124,4332268944,1080368326,1071768981,1244138604,4135617825,4429216180,5302583976,154796772,3768201,1836155565,7217987472,154865301,2586184056,3185022088,1615671552,7061287482,1330609334,1067517174,5422287528,788596644,1332573932,38164894,717634148,318582068,1298500408,4869593244,2150672682,1932978060,2144977794,5023269256,2078858760,857734004,7760086416,5733340173,3259119292,35168293,4916749385,1116762616,669492858,4521699416,282082552,26751263,862070276,269633533,2940773860,5992502106,1975574740,3739362160,1948521880,4352828568,1040701109,1803684447,1910358606,291454235,4619469474,3343551755,2552670432,555532200,4158168147,3881742216,2893861686,5662969164,193284347,251273636,1775018594,5733000840,529859935,2504228027,2751006095,5053292106,5994622248,191661967,1257284588,2296050018,93352855,40887518,1512118092,317364968,2968691922,1957687044,1919056413,4199277048,3524158525,2620922862,8549865216,2407665072,1628354329,1165817836,1061993709,726854274,650800735,3322772572,6324934275,991966878,1226933824,1145146002,844888056,1389167820,2053357304,264585456,2254518992,3012585840,2788341264,1638843710,1456942368,967974234,177176922,379848712,2749362060,6417547850,368635491,464205880,2634293480,514880004,2533267860,307235800,1044615004,2107859608,5628851620,3750374992,1825515207,851237349,3159610175,3366945891,789469379,2182189572,2409448700,3421611770,1356670470,2034583200,173960909,521610906,975177189,1104312294,4451831271,693741880,896524536,1919619816,4951429227,4757180211,6810322824,506028326,7176907704,5986485168,984531496,3417073926,4501277922,995782902,745186034,1349524768,2837057440,693121135,3063975530,4653541053,3678456204,3331201055,852341976,1456030875,1785117090,2234565318,1871337918,661763565,2276932815,1440079180,1385824518,1766639330,2511774606,3671023856,3974544044,804488075,4269238470,5838399438,1593084856,104592817,794600006,2203590525,7175062128,1446549327,846984805,5338003743,63959352,5570655048,816409650,2175253692,2797232232,2246755215,2526885644,2921895312,1393024032,1945401972,27255480,925399534,3378559044,5538467384,8573343048,2015452611,302773368,2506845459,4034747905,357505497,187143400,2747769126,3729332490,3313390325,914422936,927387680,2996669715,760558512,2353249368,511540968,117644622,2845665744,4643779266,5991443838,100412136,2226757728,678753901,527218001,6201700308,526193361,1952218572,7683900516,3084228182,139263845,2426672214,2920387470,1098030843,3064685060,215249376,950777360,5113722810,4623144084,1168143564,1693904550,2279706036,302033620,1648002015,1895843046,3769960588,520530688,803458383,672072923,464346552,1329996153,1213490940,985017359,374216422,2843116509,1655294480,4526769030,5082750784,5448971295,1935256332,395170152,2058028605,1609955080,369583860,480255672,5585547016,538391068,6329218014,4442937156,470800384,2973634134,2509394067,700083020,4132680240,460426841,529967901,4533826808,3541381644,1612581939,845176458,1701660032,4272937770,4617170810,1290164130,547632276,2247752133,4044811596,611675010,595342791,145304813,712060941,357762292,3805312680,1977296988,4524887776,796501722,1775890400,6307918672,4423454530,2069454585,7403222064,4797436280,7794323576,3385086943,552836335,8486937324,514323200,2973005945,804472212,2010094520,568679718,97910880,182202560,854684575,2323141224,3530456224,420849798,1343731855,6184139679,6427462419,5119599753,2466864162,1282097529,622896732,390241204,6565253816,868005036,4551287526,4898900322,6885994346,185857824,3509626800,944245315,6888308967,1968588436,951470448,2279601471,798654363,749471794,1827881292,169810214,592009360,198249423,3818210910,1837516005,1611976392,504510126,5054303268,549937176,1744683528,4621615800,500616100,604631544,8193764826,1186914580,270711522,18691000,3257923400,8520414309,197487723,3435902596,4217752692,2815762856,569230410,449164096,1969231082,1076765472,3983919996,983670714,302795631,7497765368,1236378084,573891390,1070036842,1277362024,4164648488,282256718,2190981172,1668057998,2075509904,7596507320,3658571556,931259643,1868018766,5670990018,220348072,1108287632,677563328,7597888380,4708521858,1049463718,1105776231,3082051206,146162786,2669507208,2462125164,1240260936,3979467140,2529261252,3171193192,2567144484,137186760,3674044575,711187710,12264805,7475780466,529963882,264922835,1977373348,2591227323,2334125586,3687051260,2889120990,2322325551,3892166010,4344439127,5301124696,629931316,3691539800,1696799169,3885385464,638783224,3350921925,3164674590,238918857,1835226036,8671882572,941590388,1868837724,4258591110,539975758,1910453634,2438976196,589072162,331258724,2032002329,828038745,2409436815,1961891640,376325712,158423584,680287171,755406732,1384501418,7034042576,5586947538,8715326202,1584609378,5414701336,1146742552,1131320351,3942889690,5221649034,488445555,90840435,1980941538,181819585,132957195,5970640130,3754867004,5368163760,1089119322,2431561884,218156752,442577075,6141567897,246618443,1256898805,2011482360,2387727285,2923567840,1484359338,842838048,1247405540,1294855068,1671435192,124894132,4354728780,4936462785,3941700048,148145520,2355701643,7553303808,2056194336,965561632,1812242709,333321996,3982522086,4450143145,4800776296,2004525708,4839819173,957922321,26542571,1412350336,5460575504,2419094390,881571792,5944721872,4510913526,3234609497,417593412,1707206220,399983768,358219858,4087620032,5671982016,4058696327,7629748424,1982693980,6268595585,391944294,1854482625,4789145169,422722810,2227764360,63305006,951202026,2740972698,2269019730,1914229755,4835854314,4542845274,4516413708,3153675004,1519341894,824140050,6764521608,2766468999,40762576,6105654534,1642265421,8096884137,2946034140,2531137105,4616890083,312577655,645396028,2430118095,3451913840,1742810706,1783735017,3193585272,80252974,2771434050,4304868525,7875819928,876251754,68275620,895224730,2387393736,6579899592,4174372494,4378827612,3345820944,874448498,1281334408,1058666406,737404680,85297005,2837236050,866525570,745463920,7040173320,188952082,1719171720,6432357246,45030000,2574911810,4676228785,1043577918,1586241990,339174279,4021082335,158051484,3628600818,3148396128,4465742736,4308130060,7266504177,5887490704,5116477941,2595275228,1820018336,2743189848,5240752110,2183826624,1653104702,590651460,218987054,1845474048,3053389516,732324906,3073976862,2363227712,3685052562,1205585912,2754033575,1021517908,542911842,3704786694,2450855772,2594667219,2529503137,4966515078,2651236008,2890456715,1679559590,2239843401,4719781060,2651365735,1964197431,1952728566,5402324208,37909437,2851574181,7247881575,78416763,4012902920,2649242751,5283474184,1151175660,2447222892,3160933220,1081300608,2593622848,697234247,4803964645,4547929456,3809046269,267405918,899047058,8407528686,2036995029,1099929906,2301086766,493114760,7389142020,3071463390,768843312,372348721,1834323492,3784547728,2062415166,6662316186,3728229772,232905382,1722268002,76885071,1073658355,930457185,2723165304,924828294,3455843262,270875522,7513896960,639754260,4847852420,2070862479,522636308,2432028880,971550415,1838111978,2193255834,815670414,5047841792,215989890,1816191900,292191332,1565454872,4828097032,694077356,5911559045,177984723,441824232,175306632,2291494380,2989325766,2092166412,268301453,6432641544,887515122,980451906,2243838873,270370119,5631496488,5546451946,639891714,6138295164,1003637412,2710409387,2526444558,3307126080,3430587492,131386212,5510034256,4543695384,3924728312,29937471,1709414712,1309830264,1265145608,494639558,2341938711,1265634638,1776170046,6982977936,1831205634,4262935815,3744296425,2215286012,2013674558,494553134,1700497526,4823003250,905162567,6793460424,343533288,6802475608,3099265404,3568020512,1221706829,3967689072,7820862480,720807617,1090958024,1062920610,1330399940,2119957132,261243374,96659043,237727022,111753156,3905188029,2822989815,577042038,4116500496,371032400,3796273010,451770320,6920923520,1709421322,3241568472,819538836,2766607540,4443474512,550481247,1515773724,6894091330,7063747929,7881236776,3265043344,239677602,541714107,3806099064,73342863,2072661258,4614662223,6576473817,310454699,95606122,430572296,625652550,2489294940,1962117675,4951688696,2521192953,1823970140,6422232897,5904938360,2337332536,613154510,1775135285,1044251864,4629623299,3606201036,528514094,561632694,99086316,5690227487,1598405690,3345245408,5767985190,1432120516,213807629,86326716,804088520,860780148,959470460,978666118,1762770132,296769669,6835715536,1370487570,113700734,2715105625,2435336010,3197381898,1663789611,2803121442,534058553,1050926692,948153423,2128749285,693668006,7554542922,2908551284,3285769338,1974697040,1441783545,2159468815,2011134633,4547288475,1378099340,664308924,8134350894,1800171600,4922732180,36805968,660247556,2163366891,6665260887,3412298350,2971128090,647476732,5243585940,524234992,1555091643,2463526896,2443943442,3847880204,3361564668,3991412916,709793260,2932887960,5458619979,1306477647,3479130568,2999519109,212839086,2071710460,5805475620,1195105764,7295712651,465575722,2917262905,2109039309,8639186859,280033920,4419378678,2541639258,3268970406,3856912260,436828778,3538748768,3678848984,202789556,1049986504,5091734988,1954438404,1734305798,150868836,4188323300,2911634100,714282660,666446460,1835933368,277293948,941318073,587096920,2433303900,751521,4875464800,764473008,5585050512,23503216,521300024,3445074430,478417430,4600706724,5834197377,223411383,204562940,952279790,2663171552,4782582783,2832773085,6788276048,337741388,1999978870,773952466,1079581071,310701153,3645483945,6322682828,2146244668,758957287,2974698520,4197647550,3152384291,607362348,652358482,1483997256,4741783320,976024994,3248076087,1897121870,62497967,3702393884,328976458,1359974684,739447645,3186482000,1927259184,1158948286,492402042,916040308,981579480,5902180123,56120943,777403714,600446716,6933204261,820242279,3906506070,4081353615,3956237608,2231568728,4356130205,563366798,6855376689,691276584,2106779124,189728038,332488326,1422667936,1589829278,3840935088,646376331,5499873603,1537267886,595035642,5904935652,527215428,7616279691,817751632,1645440340,164500442,150592636,1077844600,4264492860,6877994004,3824575360,17412082,3850592524,3741319545,1426483416,783652380,1751714838,1466740512,2512152684,566634656,5673865602,1956834906,2697075339,964292054,5091158100,413195374,3011291320,38281338,1169962140,287112770,35105844,5066756544,2652774388,96725796,4283334385,3194158152,151512338,1349330012,205534108,2753275264,1280434932,1662507948,926634169,2238828315,348560397,2704285458,18295680,127392265,144481463,6665577208,875161782,3775798548,7751489040,1237570125,296278872,3759689136,6512404518,849360202,4868787424,3990563502,703560048,123256944,4018989552,930449850,5760519432,3647478495,2035400619,1800906164,1497232250,7336900184,2437919418,4407538870,1480294645,31290183,981985549,3345043338,91767302,224544912,2925572155,4201565965,1724893480,560704650,5313941310,1803488586,7432143376,4198784184,5704139112,993358868,1872568102,502118132,996397052,6565765185,275340164,51806280,3251719170,1966894090,1657771564,736068192,619749819,2272519304,105402261,4940567124,1416595760,385625408,2537396008,4245741078,454884444,997418553,346926966,6037067778,6120834822,2848285491,1368584379,2517428948,2684238318,1328162016,196663792,967189509,633324288,1175181700,637631417,2239854310,3778825182,1247851344,888538055,4628279677,4994029392,488363212,5058360702,808421538,1686222592,3724672432,6483204819,4662701050,288738578,869919194,3441567815,1868305045,3701014240,2200308719,2954445060,15327456,539746678,733469412,977077105,2412717447,4923534726,323556057,8674080120,6782573529,3453489735,1861439496,304733368,1298841354,676946183,572514966,650836596,4599136720,204336170,6865578384,5473002987,2416234244,1607429757,1351654563,115380692,1350101816,3516268565,1741482970,1868330332,750795941,592056054,46318416,1534062745,3631485935,271718923,3226956985,1817991312,7817200808,1369793948,332956904,2794996572,417057003,4782282500,2930417585,411833838,546429144,2866986388,690926454,30723814,473597694,177149631,1573423448,59336822,555869165,2565240300,631291470,956127708,2598478752,3304622560,4541994170,3866406416,2926235094,622574430,34557267,447985519,1248516424,2284785572,55948908,7494540120,746513580,8274373173,2238219672,1098614920,4889262280,1398948189,3790950499,246413840,2031017422,1815872544,4726618320,463714807,5886754788,2331513720,2292151008,96369882,2187710631,348897213,8129338308,1632023030,1269704590,2512445236,386643094,6201939708,948724062,1943589543,1350533315,3662008245,7709201928,7841012076,771388920,2699009256,3953034519,5482960488,993932340,639607664,2514742956,2784518364,3273574660,5275368928,2741841160,2488111712,2708174944,4554262188,4661137510,1198151835,1888960516,579575696,5008167672,543293556,1868338425,169814636,1795729664,208161852,644403304,4933676944,4218349864,607547936,449084190,2108879145,3172513116,1901131578,2703096372,1712881725,3409739752,1259678418,4976675613,1840846317,517968672,5097483104,1743070973,2603734685,2027710576,2346502761,2668076070,3259710354,1685252142,3449783616,857531417,3309419652,460418273,4963041816,241759550,1898135973,2272958646,81063710,405554724,1483584820,13759017,1962674975,4014735095,2521118432,377596632,982480575,899888104,90868711,2553799300,2464414638,564209471,4231339130,77068488,1175844312,3609212972,262231547,989165307,7770143384,527141172,701174748,2559923944,6957116415,31138614,824251008,307528769,3319541015,650049194,308749176,2950532468,1924698507,3466035747,5528208656,2697425856,1829615904,7429786488,4363781849,4282271256,512089704,1100200986,748732482,3248508318,1985024220,3875413696,8765684631,8959943214,4368086079,2199619404,2918869803,2878980183,4507459704,1125658632,853167318,267690452,610377604,521695392,866780421,987192205,2623221650,2618581732,2120817740,4346794096,1401106024,2201328368,4350877811,2227294865,2884604040,134637695,1764518178,3771980784,3574685928,1049708595,3382941590,1748256954,3530100744,844550688,1722421710,2656010610,4926006288,2815353376,2584176696,1512978672,4978955056,839738318,4811505066,1512792125,96852497,8267235543,2118764075,817006452,656947168,1008444684,2275080240,5840048046,4276473873,8810803764,2459054436,171073140,1820819212,2993190393,4653595716,5937062247,881667384,2678383070,337290018,1142370992,3781946368,349681630,952552006,997399018,445955364,2018374024,1160213676,4956813880,2898599648,1688393544,1697614504,3376071342,2077721520,1926519282,4098376051,284486706,1470527495,4240368909,1014921248,1594260210,1545933268,698562616,84187803,943945436,7940727776,3296613016,1422860328,3563511630,51406655,1913094873,473401297,3479262417,5244205302,684090755,4391061515,1257566766,5492578584,5319909763,2823589461,756979026,7065433125,119495336,2434978704,676314203,2659834664,4078887512,2289669645,7750289144,1857786800,585498888,6548801693,161158398,2336010435,1361277224,3354838920,133259538,3601132272,556099859,1618793884,2893913080,1374196474,2462648847,2220744843,2742648567,4408347678,1767988929,3061581356,3136372668,1587502124,2138236848,2536735230,3695953272,594364125,3847979250,1627034715,1786120384,661478721,3461088564,748602739,1880908368,126718659,1479094640,4823894580,1506001428,3774094608,514622612,453345016,794852185,4411170510,328289406,225951688,1047336882,892971166,2324295006,250088016,387019671,6225146081,189533440,3928328127,813480338,2167801176,455427016,3121415772,1539199218,6269549825,238790024,265847875,260547625,1685165412,874849892,4856674572,955773087,713215080,6922250902,1567273347,1064329595,2474936880,3034236752,2839356720,1645014531,426225895,2397893084,6042456342,746612406,3141717215,2659053060,3714781712,2631961728,1379813487,5042492384,7642248309,7911353712,1127500916,2504752600,723929526,5324158791,21377490,1578628478,2498338770,1645896968,268238383,1449077826,3981689784,1169056353,3933322104,169765452,833829882,506664243,331784601,2025596691,2337259760,58333458,930025818,6923202307,2631352395,6415086384,6054754475,6064017729,637381230,5784910632,2120319102,6783855744,924967404,4259882135,5549844440,997632073,6602266024,7025928003,1209196668,515492838,847108399,3416159355,482316935,1601934810,1279294076,3477546836,6272708816,6342704464,499516995,2195397264,670380020,4019201960,694122834,1748650605,3524325220,392120933,4700430279,925736283,1894174086,750216250,2598070844,4264212635,1864095192,1638148005,3319220303,2000593424,8950543128,1612062261,5405611128,1320639404,701843021,801384550,735070818,1131521200,1610205700,268063434,2608577685,1929887980,1165089084,1865073663,1022637656,7298550016,7465676049,4578828264,2555619525,4690451260,365768243,796395660,976121442,6959198430,4652454030,1977585050,2126665376,1151239105,4183832860,964024436,885620206,5707725102,1224371064,227383282,783091817,115396761,5090043306,2290815412,3410084367,4182591096,1433086438,1027140824,725264428,2263590597,1076840936,2505785720,131618366,737486982,4447659519,7095269322,3289715168,8170488495,1802457699,1810116291,6625519596,4874315585,705757014,4992838332,794662565,184410325,3786986052,1247101920,993239744,3617417208,3749402930,899278974,3105436055,1162216237,493773560,1722964887,1034470902,461942865,132070752,2325080439,2542712040,504935521,507100655,1838843984,2715641244,3961917306,910171243,195446391,640603380,1806660464,234143044,3497598715,2737054369,2462943075,2562402876,2909755728,7104864366,752447094,2859648495,1435932092,7570537128,3645521831,6893810616,3830192514,7836245928,2553067030,5764756528,1551607980,956583474,3458709520,1130310501,554207238,1145569824,6732930352,3357211291,1781159612,4146806817,3256393820,1040356372,2511305970,7291852785,1822374366,476357427,491150100,45098592,1031845998,1153864733,950722920,1649548389,5163551490,4925293795,1462862846,7607956545,3246581790,4589876242,516149255,1601363084,3991557094,916522083,4207493634,5613375447,246813726,3338765308,2528706632,2466114070,1476911001,1443948254,42564899,1403445152,1332192057,3108460844,895458988,3551530356,1465330743,5996844396,2848820424,5633821350,1703451484,2031948245,7165917016,3534041840,2594521272,1208829009,142008340,2994169256,7929542313,767367315,6410515608,847928215,3547723272,1904689790,18147897,3791030432,7287663416,6788082945,4357235460,6370951023,666346795,7786341693,1258355036,3820509240,675126942,4246092886,1182925209,818860085,1438216672,4935320005,1759007652,4301172810,2370208527,1811539584,910217367,1117252596,1935680968,71898047,1455539895,4699446507,676759768,2667651735,1942576656,634874860,7682758296,1567387006,2785226346,355840268,4336270400,3837306864,241450576,113041492,4121431770,3196625031,3247737648,864054384,1783783212,5930679492,457573212,48924034,1349887600,726934085,5932445722,751334956,2669037594,4424178368,1910207128,5409264762,109749661,2248716420,3783698980,7489155560,3788742804,273400073,3315108425,1064195332,2335007240,3148765552,5861204748,2780725251,6674219412,2213699454,221198175,683327692,5520012198,786573116,6965854833,901130127,3408062815,241560558,1329607996,3893400168,724089873,3044094726,6480549138,4930436840,5859717342,120700027,970761296,5796595360,1581757902,1986878756,2402750121,3048743214,1470425319,1771623235,3291141275,273421232,2123831152,2750224524,1443535836,4361837832,427982245,4962566832,8821694493,1567531839,3700494100,2658756177,4119278190,3371415747,220854830,275798643,1501194398,1056229664,4732404138,5530261686,7437429279,2806008084,279970698,396098195,1209157404,5607241182,1951133737,2770790928,3555155628,30759144,5335424532,1440765884,906921253,231104794,1042584474,665578533,3744731308,1906067644,4597839420,1908097186,955516656,1381340604,4037280121,354069900,1444190484,2936895540,3885971490,58368406,1776282685,6181220232,457319425,1988125292,4423488336,565020840,2963866615,950808858,302426158,2559737220,4856992632,328108685,865896336,392290384,1025957508,2843851677,4376223410,1904851827,1445490896,932911576,3138601708,234987620,3726617844,1523566128,3276509872,433099191,5924398149,5036398656,1772466944,3110872864,1281870492,278805808,19624430,2828611344,884801236,63897048,1671591075,246809907,1490733762,3659694648,973495210,844157057,846505641,1740726302,6951426768,295300289,7677738792,1055034696,3815241776,3075940074,6935615368,572975196,8725524678,745259886,564937592,294889582,1997228136,1233971298,4373820017,5157191900,795948115,2826030771,5896573407,1492384370,4345776798,97029144,6729064816,2036210040,3934384900,256567260,4927197016,988029482,90711730,4428828924,5219846028,6900951648,4052390652,4912846414,780334925,6456341484,3161563940,3059588890,2945919990,379954880,770715405,874356062,4126275708,451649299,516875209,411720212,1153286520,4069704920,6855134867,719815152,5851882764,1747259992,2738953308,221218259,485955293,129860099,2811369810,3118796212,4020419641,5587951453,262399768,5358159848,5411254504,3629212332,1054183038,4900821216,754519506,1101948488,953250262,6558266200,1355925568,3915024138,966966300,674286818,4717562742,1019747362,2031968120,737631832,1573235532,5250962430,530803068,2499210567,7393904168,2178654792,3118771386,3740990190,2939804523,576221172,617638176,1171641399,853548759,925996942,2432948202,2447151324,4061867148,893388931,5533555554,4297099895,708232161,2019928416,1644374102,4630976824,109255092,1547388138,697842418,1901369056,738133056,4515813678,7186547016,1365591096,1083829414,522142812,4464854898,2268043855,955113556,884494190,7488619110,304577561,2296755944,152026924,558813684,3743349705,904096712,2291894595,3316142493,3541998530,425337500,696111893,3108740032,2601216156,2460165728,831860511,5152043792,2797224936,3289416179,579562600,7198240068,3187041270,2855847778,4394020386,94657833,4404922046,1068202060,5465193276,2378106855,3743360844,96473140,1009827345,4644405710,2526535125,2056334814,71236161,7175820690,2232299586,26566424,104420113,3459765855,6574118985,6536700351,248102615,4357264065,1763473718,8334052740,4069261020,3057818981,205368300,1604713080,4460260050,30091682,2427833992,677978647,3935174880,4884026976,3909361276,1400125196,217330854,1543538040,98619764,7865897872,195883936,3271498215,16697065,638165319,589034532,3835655152,396410001,5104926234,7003052488,2536556920,169951466,1884740238,6936416256,44087445,5928559784,2756757369,6880601329,2013884168,1205031278,3336216282,2262293280,3861719472,792758931,2145850260,1626588912,2624270656,1942217296,5201672556,225206048,3112408467,1432167537,19930827,7734736904,940521890,4379710175,501840049,5849006569,901853670,774611826,665956388,3181471336,28967706,270520272,1697848362,3212825492,1466657708,143034251,241822864,3284404564,1936259703,2973712255,2504066052,4892715700,1174580700,2869276158,1142736962,494943092,340973298,1739803982,658453335,5610659283,3523532364,2215097549,558116148,526920966,1091529300,1775077140,1546516572,3805730970,286240780,719980232,486327688,610917225,8024507505,1661053051,2843940723,3422133081,535343464,1017971244,321171388,119693378,994458996,3419200020,832994152,249436750,3993844992,5416020582,2891492864,6216926040,1916531678,1261290572,1908362898,2598068884,1946617137,3282142200,218996889,307774800,1627209521,3380902000,6920410014,490213772,59758934,2097239641,3951608778,7023259432,141454526,279367861,4762908300,648994568,410805138,373293116,2891497322,5292959064,2136658992,4048371678,3818284533,2864642394,4598043590,6028300216,5604301170,2616496580,5365216818,5706473232,1363871031,5301301062,6409466883,2208903528,4257738254,2672096512,1816406884,2327090292,1642517776,4251088332,2929794810,596127987,5612569857,3376220330,2217828258,1003122864,2323336556,874902045,4976387520,2179473840,83517120,3833830305,1541127348,476570787,2860927422,1799934938,2046240576,852682360,393195751,4115060705,3484609875,1158995117,2952138888,5341890282,8163867771,4571443320,2350744815,1385728840,2447578890,6500092576,4741404829,271588143,3560386319,542352930,1168706061,2538021765,257746920,600999336,2374921784,2387714763,3955979960,1964536450,1040195098,3018047130,2822481816,1537080309,1930997259,1395155712,373910980,3374823632,178402554,2085551788,2396072015,6854466861,7703554644,852845322,3456937890,904374771,6149401128,4437298332,3174691722,2542333743,73004856,432834399,4707762405,239551054,2044441096,1668313233,5436340515,6825095019,588992076,3880280190,4097583114,2293416291,1405837720,1746000120,6894787770,6897311376,1369395924,4777292328,300007338,353577284,228487868,664818669,2802581735,3321105044,5209222626,7852093664,5927966124,840966816,7764504432,5638189046,859745320,860319726,614241760,7964058696,1545416222,5440661975,1889016508,1648214134,4541693317,360485370,1005056454,966134608,1463482360,432529578,2415452400,1208594082,2846987640,430754967,1039240420,543232356,3059738910,1801032176,902898315,2449579437,2127802962,490006716,3913650420,5026473135,6309177021,823657640,4528493470,251510300,3536791270,161493098,1733303932,538486520,7523607870,2605872760,173604360,2840818805,694581702,1140247896,6142124136,4036601445,58198562,3177074322,1123811450,4943326685,2666176192,2745437772,2125848654,413594247,5692924704,4299918480,4347552055,758323622,5373005246,1174153866,604834744,2658735512,154206936,3584456454,5628263508,923365732,4644513928,3559566912,450551112,5367633950,31339973,5955952908,5624663736,110730054,6243171039,1162393940,3192672840,5129604648,119971652,626886066,488732894,3828445500,5288912100,4613179392,532285431,906437268,1696982550,748336075,7100171559,861232972,1957424838,1630163250,3738252456,1241293780,341068768,1326411618,2688074649,2378047284,5083807266,612992676,4796853635,5825946560,2216450088,1660411170,7193109568,2432468542,767479140,582969120,5291449008,698777802,328413910,1972104294,896956027,6814511900,835023039,1122689804,599380659,416002098,4906533960,2165746220,7780534680,2094350904,920690218,18390826,2460453576,3117417804,2983764385,5611871356,1227612994,5766116481,2499937235,1304247020,1288169685,1582933014,7584730389,135192645,439627542,5735586594,449125416,510164350,1557577400,2217156860,1232768955,7830671984,1747798368,2690102442,377339118,500710300,994171038,81545535,967826960,3851919430,736653483,1196939820,783352574,3777779625,690692156,5343553201,2773329798,2784029248,595545206,1469529719,767706171,586829392,3608802356,1346611432,440826272,26948819,2845720410,5456493954,768167712,1105105160,3765114080,1720699896,594674364,4029020387,784669128,2436299908,133030782,3819726800,96912603,5350419108,3668658020,1287329136,5549386276,4412079912,2640131228,867661836,1369843359,4189102110,4489810134,362956523,3244401954,4925480166,3894662888,4536241824,1610542476,2240903567,3296736779,2038563099,3340519712,1396442242,2078666264,3321224613,5681989552,6631917194,3007951365,4001024398,1885477530,890484354,1702518548,675829427,592425610,459762982,5406151611,66764270,3538404737,1214906319,7206707272,4244857484,966814433,1804042296,5948071717,47600412,5601524946,1345089963,2551247844,109402122,873438455,1884572685,628438958,1130134542,2493310776,4743602010,3457316387,660985160,550564059,213872440,2556161680,1781057965,3605733960,1340601786,2459110595,2820097248,3272610924,2847170172,519596490,28957390,1829648900,2307461348,308890702,51925264,5104243008,4072877112,934230093,369544171,5046575706,505364427,2516137740,4285366640,480714695,6055202328,591479882,8639787762,188847228,2279378316,2217750420,2847153123,68443346,4589286910,5669076510,4212161550,125065115,1276139282,362368148,5788671420,1449650558,3995546564,406859663,4979932812,498645996,1743426000,2219966799,2272531632,941083340,279738696,2990451870,2267916300,2200144821,1632588384,157738757,3947953149,3907617705,3350919051,3731293182,1364541669,5714200308,2871525846,936353383,1751208351,4899903,2726048532,2525813520,1869259932,963026432,3678320790,252759573,2081099592,122910032,1380402309,290903052,1434652074,2906379658,4952756184,1683524880,2231075776,1983235004,4435464096,1874092581,297727845,3717855930,167100536,6616512959,2243513157,2006997688,6631414288,4649509942,3803235633,7621107741,3091698428,1013393325,819418824,6503000103,847362556,1498665750,3859026608,3949667232,6657580881,430158337,4275023904,1111075720,871784256,541371720,271558794,2368519215,1452849946,6932209998,837387214,3369937396,1546298152,2927304920,608311328,6391020419,1560907495,1765920288,5989166648,1442585276,479339701,1140777715,19138992,4289522391,1788631016,365219240,5180905338,3485012288,1823657274,1384668927,5559453067,5463446082,3873139200,2856419613,112154920,64771304,392039543,1409610648,1533115436,4071692016,116883353,114490290,382398502,2453322440,4646184561,732633950,105954508,1153184720,3861685040,3596313432,48774326,269564124,2478225954,392871756,907712757,1325747380,1080743832,6234306393,2590303670,1454184354,2564985280,578974260,1993826888,922079488,2130425532,200102571,3184416423,5548051935,4291518114,1503210978,1290410235,4193164010,1214860383,7249814,324674264,3199343670,7669223181,3576079720,1561185783,809804218,212045947,3918767524,1451543838,5961206364,3162987303,426268672,1706119695,640377976,623172482,945489394,276801064,2074542589,166998238,2665991200,3250473384,1969178351,1484854810,240541912,7270837740,1769160340,3515322349,6109234460,4588454836,2762667800,4642207766,950305579,577843682,1257691020,582129300,2669956827,3092151978,6822601137,3504274986,1286081972,3258066624,3514932648,316515710,213794778,57040644,2020982632,7910963232,3126376455,1477359724,1183903376,5209608060,1928897712,2077976535,1903974624,934870525,2427385560,1740772233,377604908,616124914,271390294,1874928811,7014352424,153514165,2628703503,862195502,2874349745,1173841766,6367686944,395213765,154512268,951438576,4560158295,5780649864,2108844747,173882250,1946876836,471852786,7397314524,1862539180,2416676105,1656323397,6622951041,3139469532,1459100820,1701205956,1071018690,393713660,2877827256,4784664540,37386779,669276939,1317551004,693880576,1181014385,455108832,413304908,3325663972,1473810360,8588305944,888024946,8758797066,4754106927,1609789344,1376527856,4068840410,4942844352,1708508427,4662316362,4173276936,1469278618,3246763740,368381090,583729768,859028208,729084894,2034754864,537559268,4826078904,1602449244,711378846,4354152480,101191599,794134589,562497629,3710149548,933648051,1885507652,393286389,4945441704,2356628967,4332779997,957851182,6386065920,3132408482,2378606571,5188608882,4989589794,77427014,1060721155,108159636,1269594060,1527210813,761341620,4187279800,368029029,4183065660,4123467420,1271441878,956071572,1549027900,2033627976,744913973,3765738096,1233075429,1598183126,3390716547,897951616,907553520,6387015971,4461137648,1050741308,338409515,998180690,258435951,688901664,1731485936,4884683832,4494271530,2376691964,2360254800,4371471678,506542026,6512980292,3469503848,3449269334,1144179264,1878459600,4887954306,689071047,1978324293,71086475,1635415925,661263910,6764398578,1412848514,268817850,2656606776,4925079980,439412652,2255162920,1948606122,2269841247,1703304170,1988398506,395252488,1684291568,5579473176,581406690,4082345910,1563229818,501650540,4708167496,431051033,6087186540,675163026,503100298,3646862964,6733427049,6188540526,2377823210,86173501,4015152827,5250338317,403422876,5919282068,1916350572,5992254120,2308101570,1458026952,5985565460,5532651153,596713189,219976340,4809942036,1169343108,1478733516,4027138065,1042363296,2595700203,1331938162,3615936852,7257610784,1815113484,1345378534,3341648844,4039519730,7806127761,595235976,6187191552,2328782120,95551614,4084517340,882929583,2501217978,2776051075,303150627,911688356,2733778851,874919648,326739328,6630375816,2714212745,1944656105,1284878079,3038039072,3300969276,4318839780,125630602,2872673544,2205795324,2620020992,63306558,158968714,2965919496,3783263168,5200378038,318005388,142913140,293351436,3474090725,762809340,1057458219,960919640,833531874,1908323622,4006362972,1649629590,6664554659,1167983796,5335013010,718629627,1385179976,3008705744,1933528784,2265221388,1821697497,2928822176,2350565308,3209017272,5679227592,64202418,2523301686,454690292,4990076700,586618953,79460236,5184219040,3472565480,4168173006,5714429484,2093624162,3056627915,1909374684,4474310316,4538738820,1661952915,3391038609,898292338,1593745203,2551232075,2791021752,4654517210,6118959105,4673150022,429514742,1208681860,3257358090,1481323654,516554932,3697834500,1406666934,4799590080,503903634,236740386,1367375180,796713138,8565502041,6928288927,614170095,6654006756,4702189914,80497830,5701432230,5285648064,8843112954,3224646936,2723357610,1778941842,4976632848,4363687368,1836125932,1055599968,3826509936,3794129772,2459816770,3355833719,4743641616,504745234,1591505184,6298493409,3649204044,3344024910,2798687445,1477882108,92994078,2615262825,3989184619,5001155552,3548021056,2382692990,868964485,857595444,4305506664,1238000965,1582751975,6153103054,1974355700,3616909632,2200850218,6930629368,2392211390,4544341230,732170634,3493253015,2556552352,3596753756,342380072,5449507080,1292015310,1568927218,947383920,1850811960,3325138248,4918719784,591743466,2969340213,6629117856,687999714,1052349076,3672669744,559530207,2293677710,627977704,3188372446,229307008,1606897852,2999199161,3867587676,7841053848,4876817195,4111751000,351912600,2106736340,1119081672,4440962897,2796477453,2240327367,2623936914,210525203,648378810,283360042,3518943620,6190042572,78378512,1662300906,1977273780,468961892,1785078444,30571485,1708377722,1279331772,149366480,1906789392,7467238976,958453592,2939437680,2992767669,6381018147,3669190984,3584252368,7006954904,3145178816,5027092842,1248221900,1411572654,1629945306,3621185869,5222489184,133071512,574853776,753351591,1708976949,3545072288,4040322183,2671481656,333501630,772711788,218210944,176703100,1711832685,2323426536,3072797035,3478402125,860662350,2467971755,2989508365,7905139560,1576868216,1149915235,680983610,311484552,4633852300,3256987120,3181093676,214145883,5503806312,4541530944,3954547720,6083771960,535055057,886514485,1831697805,599293699,1736500552,5826400832,129271590,3837256810,2577317046,1227924484,2057582788,824364202,3327675738,1541072323,2806780563,863041215,6120860718,7216643160,3403191204,209357550,1922273936,3707542968,4367351681,1635017450,1427581860,2984520978,4314555413,536603547,92521326,1867795415,169615981,1529968996,1009456923,471541080,712354314,2135438412,230474301,2635630240,5371953622,3809903880,3955384600,5562336040,5259197970,4347826,581361872,3505112708,62007669,5427876412,2123465442,42019156,2453650012,5367393144,4764626290,4855489820,3992376216,2273236650,895912557,234389070,2732578512,3322472622,4447678473,2721872348,5593239648,2375237438,2845761447,4421702215,2130906015,1726039240,5699221524,227109948,5394292720,620169016,3164460525,1266546816,8904185127,950140640,2212514352,1232283162,2953951872,5945383866,2187533187,1041652450,672815635,3543183162,4707633984,673760071,569708478,3542546895,5884589376,1391143785,6326989168,201117324,4145756410,251593565,853983571,5623087581,7481574729,2442395373,434374890,6411891570,1439986779,1485861168,486530250,1541864538,2226092346,890017597,558282039,3685223156,6946910112,3968392440,1484271051,991510664,2758686650,667599265,33945134,818176527,2362838325,7179181182,526998876,475522243,7218375516,1053717234,614645548,7801843128,556222538,2383116735,4672286640,731322381,5855143473,741416661,4946356146,2582247825,8247538116,892671968,4521211020,4210255525,1188221742,1006992940,1148834373,709273711,5765547053,1515101496,1078804772,8229555477,2860330991,655583861,1789957204,6029987382,1816830224,2762565744,2712330800,613639846,1013848925,5256763452,1278833746,2852599329,4233343814,3738593411,1394536224,3825257848,1015699368,3481880355,6349314846,815416162,761209650,2489804965,1092996890,1305645296,2860553295,800567486,1007738730,278012750,78937855,2505979450,652141064,2675231990,104139915,827723148,2531105584,181840905,730607643,801862534,4600204497,6428152680,894677612,2317794858,6276704084,2708922160,1909683912,3742020612,1648055888,99664084,1266616848,5301622102,6931868292,5787911646,125655072,3032257734,8370810378,3999608855,576149181,3444393573,1832510388,28793862,544167494,4882894160,1002876966,142703535,8549489799,989307548,566969130,3785361115,1800739254,4636727088,4467853989,2386320245,8701817229,993115461,5575950504,3754775768,327568508,2950235271,4739791452,393774905,240729656,765381090,2294542590,424829716,749603040,6332359932,3372217015,551212714,107204715,5873757867,7990852744,4393708485,596822115,4618613454,596462874,1941194092,184854176,373164609,5224297864,2742653226,2911426506,3471857893,1644165130,2577146439,3162755165,3708252384,2976142533,2396312724,914148117,6088103588,4128108055,1535937207,988296893,3650997684,2187217072,3966168228,4920512555,3963292716,5329131752,3041084408,1080787530,2767881440,621222724,356471110,5892451978,5162418711,4161724308,4592811696,946822623,3453895208,456649987,423357872,5059749852,1581885968,8800798806,821646116,863689123,2411807328,4554805350,165641649,5010987222,400729462,934084464,1001527460,1336979640,270926892,638781232,6435017743,1695787066,698930496,1554872308,2723006178,4664739285,3790172530,2129044312,5155324731,324438660,817062600,1534383525,533853336,3767831328,5261148396,5436261258,2527131102,2979577532,743916714,300590694,4458487677,1302381332,189031930,3775566744,575334740,4432121834,22781585,1319591049,5176629114,3668234152,2739596712,738448900,3285574254,409159098,4185167810,1212053816,2808342939,1492355410,443210395,4585417544,2366427459,1673450274,7240356912,447155340,5724925392,1865464552,37486508,3643659864,5602989141,3155266332,3022183808,6843421781,3541077300,6452147040,1206992394,531723107,68859567,2442245396,1599524874,1419938296,2824702614,17428860,292063340,1059986134,2149788824,3088075291,1083402573,1246158130,2097105456,1107906592,877646074,484357128,4743977760,2182551520,326763846,2678461902,5597959842,3709911804,788461642,4673487120,2107524470,3727288920,1174168074,998231366,3434975856,569488920,1470498214,1762770912,342342860,1491017458,5711473524,1088482280,6214972155,1596034200,425202972,925322691,1082243235,241240712,3268481256,2772758973,833138208,433372791,586856891,3220870224,3911484892,2347852557,569495605,4061089965,461016012,4240533378,3530275483,238860272,1880331926,4543742815,2724497604,54151104,998537078,43849716,4460101210,5901741960,1205576610,4647907278,894674470,2788196912,2143159424,2058865736,306458054,1961596092,1140256600,301705841,2842880508,2436765222,3591713646,2891005648,3174981000,3993524812,5129843397,1338539619,1732094816,1934079016,809967567,6580577892,1594572840,4221529092,1864123215,2076116015,91859106,2347008690,2062943541,527024328,528175254,1781750815,3816149400,4356498594,74697658,300077336,2477782641,509778767,3394607424,1389627840,2287778432,1367686456,3382645122,1012823832,4682679560,4743683130,188633882,6294559599,7345525344,1034520220,4543464436,7849919200,2417546048,7793943948,7965724185,8246239245,423924678,5205004482,792725082,1763904936,173774157,1730085645,718003719,4021380248,200721340,5074287078,1889004382,5893499928,1616914071,3799412476,1394950034,675148886,309913540,2852094300,1898407228,797337550,26088978,654757740,4515758352,5118016512,1129552924,491717502,2063962468,1452646475,783855534,874142757,1622960090,5579570274,2842457928,5941246698,5867311976,660203477,1065426066,704774632,4359318864,540752606,2515262888,7412331447,264794448,4595846577,4333461808,714751842,775207902,2432546120,5622927842,703886428,894280973,369673452,1972864988,303568524,4245549426,7255712763,913724270,1530709394,355728318,2487461148,4276134351,661273288,3750075768,418975722,3329164027,1599770282,1292349890,1138823396,382504800,769291635,1925326600,1951318198,224042890,7989499456,2870605936,1177567338,2369265402,5815474320,7161688688,2572882671,87814044,3135397024,900100496,3522940790,1827660108,8923176945,1979978328,1653565374,1049744120,884690728,1740910250,2086116265,2469621688,2230812135,223140120,5100413616,587986707,329934520,1228319120,73977120,8231622165,46634455,7964736920,1783496326,1361982627,1009569765,5514744074,1453578012,2277756677,1932025810,1097065584,694015230,146880848,537670599,5999775156,104880778,11316310,1321816208,3263353912,3131942430,1795167084,2571216416,1680284130,2354398016,379300584,6116094513,2908985928,1634213192,1368286948,2314409256,1645599734,2375166384,3470350959,2020582497,479704600,6200235960,610764705,946495680,366200418,3235084488,1599531864,1185177896,868915461,522681557,653098169,4299239058,80652390,7183358480,2310214926,270975136,4200001344,179060253,3308629548,2333772336,1517583486,3866652205,852980337,5014663856,4895837095,5434126932,6378466241,1480915264,2793082563,2547726428,2924772912,992620525,4341840921,1267664648,3229494674,514279182,5178214720,3178851112,1611260495,102963336,260607522,1632615306,530558160,2576788578,249965852,1676240528,1073936070,481577668,100934847,1135819704,1551934912,1667566047,673022050,8120059875,2541775149,993137605,591200216,4167315808,1277795346,2018912841,6615764512,3289446528,887247196,182602377,179397325,1011115469,5327565096,4947214542,6333567744,397793025,2560465260,7724179359,796330192,190843014,15209196,6470204090,4696338213,1979040636,1938204108,1744401820,835327350,2876392836,1882138041,2581089279,3031306620,1755798867,195606568,1954710693,2299550320,3484069575,590113988,625281332,6105714824,1578340554,1973848324,3004700418,44281128,516686433,5886744156,232478565,3221284470,164734270,938812419,643919101,1732803156,6483886031,2920402840,5433021612,5399497016,4105132245,3874317060,790471752,2725813008,1820727387,864107767,3271582746,8552385090,5193875493,364042155,4422971169,7966251468,191393057,1745164494,389230422,3066371368,1574980020,262066211,1153637156,1381589292,6899738103,640571987,2838208197,2230635260,3704501738,1860675764,610127947,1899537120,529133186,824581596,3467602698,4338851545,7465285953,752869366,952302795,2369173008,216576571,4671033325,371043672,866626904,287775770,2618311815,2171107395,861401249,3716280174,223601622,5999675844,1025586310,6517346408,263849812,2650341672,7661158056,4013723574,1763819199,2881788695,2145305168,675019956,832214655,611038518,2274258822,5816555052,930526398,319121504,572199288,1717776008,8006231088,1789537884,1062949828,3143109600,2557642956,878694516,870719496,842728096,5788051480,149775730,243940948,1724382830,3616851024,2975419269,2866792710,676190978,2319582272,461779643,4216069856,1207876902,4925596152,515113168,514207588,567495002,2340683340,2818448883,3757400005,4853764566,194738761,1898378832,2975182084,2149813548,1646811752,1724522822,1020201564,4122776832,62947672,1449379869,2610476448,4421215134,4774813044,2195718712,3456587380,7810453776,2736930867,2642871228,2113144228,2092986012,5949270657,2951701375,3526265984,3892676356,218080912,1768840908,133266114,3043032402,1604728680,1663858680,7405316649,380155005,2964090261,730013700,4977165120,575155089,4979750232,3192385248,4218160818,566373369,5173547728,6200199432,5053430700,6746568171,2680203968,8666027793,1266226682,474482663,602091461,1299141978,1203010842,4217072931,4643504652,636526695,7899436664,1950217602,1076733264,1710793234,3096621684,1138416748,2207167925,971447022,2515778085,1116140898,6548891904,74647260,1551261788,4759597460,1163371696,6928299800,57557661,3959639688,1800302520,1488016868,171942678,1511180732,402694056,4789917784,2599686594,1723232528,2225600304,601908806,4630846570,392571074,2094711745,4683099274,1405100130,701274503,2925663975,1274701620,2474812672,2527441128,4455780552,2005067200,3252677820,1561628230,421950366,2737137267,3274059635,2365234821,7465735737,1675021674,2257930035,5317722684,2734291056,1234741036,2513187888,3459110380,158318935,5194562202,1842192294,1703411121,1818416200,1793307716,4844091900,146472939,128706845,752357952,4820375005,2058127902,107885492,1025715348,4120041192,3489755705,3463387584,1100058088,2830035990,5361328629,580933470,4324274160,4047504208,3728766436,1656381291,4436109875,503489448,4789977972,2771573710,2715895665,2248346400,584467219,513973215,4944196005,858881393,1030341968,3939421104,2167052436,205946238,3309057605,4170240104,138139527,5280476967,968255937,632010478,2559154245,2978497416,404127306,400137356,5475363462,2962410324,308004240,932605270,1712075925,5928357855,1369089675,2662222610,8716486482,1730881575,1633730398,4906637498,405641652,277924758,1281616608,2856788286,1055242735,6288722083,4044871216,951190949,2977398220,2867686108,3753692180,349302028,6542470613,4400869800,4082110310,1276572030,1220733436,939934868,1753252884,1502322016,351875373,1242581352,4194813123,987455199,301272069,2496382546,730743684,325319687,1074954148,3642859604,8751706542,7682170833,8024587821,2384178357,4668256914,6357926151,7999144704,2683310536,3153581910,3888757675,540032016,5822719389,3568676853,580207868,1188862878,598260928,8694034119,1501313079,4250774512,54570150,2824100125,8177471289,7347843018,80234679,5094985528,395114439,5980275342,6402285792,783801107,1957670464,630687777,2577173410,430735198,3700751116,5009321178,3953822994,846813382,7040190584,7262110392,1862640852,124507125,2315484486,484681728,1818524022,924459431,480723900,661491730,6071697976,3880751160,4115424915,979937981,351655479,3234493660,796942935,1029279610,3313430735,1460408106,155304673,281303071,5101503827,122368047,5250426622,7969419144,3017042376,3059137984,4616934309,2296858435,2956729936,32859530,1278558642,3865770128,3920926860,1079885226,612410792,1888941456,255835770,1270801515,420767088,2048586210,1143542080,890196712,1297164992,7123232176,1147729742,4742805390,2848595673,4107845376,3557897357,4426439598,1212646392,2631522537,193975250,67819857,2840427159,8964114795,5735097876,1004992705,585827710,5077123534,2853984903,4630211765,4223146710,2781151048,5676030184,783822333,4861473360,905495826,1638275728,457561440,679134705,1175600096,401151350,842832576,1899452895,1193283378,286932108,6148423536,2601489402,6828406368,5111479457,3951596166,2742921915,3590439412,4045568765,918529803,2323053680,133439466,3408462384,676045176,509763018,522794795,3108657335,1118596915,516803566,829068545,958120402,1181754776,2858013357,5392246288,2785787984,795538917,1875463346,1651253110,488052826,163940272,507207552,141658856,846882485,764352348,1616202042,5670020584,1991783190,2435061895,1378746378,2491265493,4853354118,2687482928,126984757,1705865445,630305276,719472575,479297619,3821816420,3069611456,2561853282,3457210437,2812423188,2051287763,669539585,2116511446,5177073942,3276561170,3594951212,864869454,7834988520,2609200278,2782911328,1679598351,899742995,821366196,328247509,684441023,110146832,4292877320,470301606,2250746920,1797388396,6299945694,2301026508,4581661480,2900671501,2135556633,3273022308,6363672000,4470481656,182907976,1846830012,2280919341,3071099980,8876208708,89788531,5781292134,1139932372,2503973290,2683290264,4802636695,673433430,1288561365,200945234,6790280056,786951985,8481239361,2616692190,352166000,5232885392,5502917706,1675858872,2603505465,395562520,2372462315,929292300,2236823727,987711307,2839236966,3338403316,3595152546,2341522674,1142893216,1817485800,2524444594,930971379,3425529290,1863055364,3263775221,1764508912,8139319407,2851930952,2712991344,23180224,4166929192,892087893,5592908688,1862286424,2504413432,678360532,2622395684,2602389800,3782784936,1386794322,5160537882,285621168,3926589532,316765408,1284905232,3586858976,332178612,5690350540,1770266380,4499507682,2199243268,2368590808,3867719960,3868672500,200975160,6600485794,196538340,185047407,200410085,4026946560,1353903692,3448525350,970995728,525697485,1925347203,1748498220,66227828,638404095,5396353716,3992889128,184560141,407876207,1423355632,1064080406,5747548455,4565497746,447839630,4806547872,777047778,7923343473,2238474321,2696265822,948400072,1734379984,3584314640,869064284,683665212,1920747474,29540414,178692637,164776725,8973776556,1444367880,2677432376,6506105886,2324605203,1315800702,5802140853,1824063642,639261841,3565813104,2722038375,231344920,4831005232,252803070,3609968453,725197133,251711149,3680123144,5861619582,4323153344,563536773,2971285690,3432511944,2402141871,8538755697,449194614,4500896744,3602858924,3465219390,6202675816,1488814608,7019441487,7416284157,3942843316,1549155344,1741360635,8378397306,1929799948,1914973158,2091866076,320253687,744945990,2988935574,2414654304,986550092,446352152,2429865936,1762378749,145076876,88108571,2580864180,1887461424,2900254028,3454662951,316522311,7397628856,2384644315,1005623445,5261199888,3191055248,3280148720,1584964423,878159840,1351099410,37553045,2468019255,187363638,919179446,191903757,4976497164,2280327580,319775424,916596184,565431321,2737362960,2872298984,2266572250,1829979936,5202817375,732604945,3415790628,3867165612,8128951236,1671469056,2403159050,2531036606,228444690,5079991648,1684394006,1256482608,660163473,5357275200,231968289,6355773494,7042117840,1628180040,1406355468,3746731680,3607948920,1925290496,1888114190,2906828995,465058960,2403789687,142512975,278179345,944087280,7012061160,2153236832,2013381032,3418854600,6952530843,1113613392,788348204,1505534778,191502020,2174894220,8691313005,2106288819,3968573382,162519051,730259223,3050552250,2091630784,3397431653,176245856,2400464750,1358703688,1112801520,7863326368,768716096,606133626,871075844,3359094516,253567688,1328379886,2693041884,1035942822,3664617285,600285050,282891922,514174815,1730156688,4700919700,3656236428,4529278720,6200770786,1967801114,2650509873,700471323,533411370,6908513206,2412735657,2336628420,1216001037,7663391456,113651100,4100382384,214069510,2057165785,582740070,1497336448,929337616,806213002,473845712,2481589836,1971416680,7345961400,7837011504,839106338,77102864,2482876536,2817886995,2304153224,949368080,5148226600,2359187382,3994902422,4569027485,3606660200,2679706925,1417091360,2696009477,5207522409,501783055,664650312,795261868,4960063128,1789477092,753112005,4991603328,1183012150,1050074640,3625760790,298641152,2592821740,1442905230,3741689748,3827036,260804187,734653429,67902538,1758290261,1891880626,4474456254,915963736,6389960841,1169790014,3082616733,1517431416,3289934792,2034634770,7806378429,4614832017,6035372528,5198628712,2258885380,2736298710,6980789627,3954973554,2425704384,692438884,5619199386,1401264531,2231415144,208790946,1528781177,433041855,741961710,93685680,4031287393,428273143,577771353,4478562688,27149010,2959293906,3675123672,3815852436,3274267256,912983190,2539712816,694492085,210054591,522145048,1968333852,2433933208,813321810,152540936,1461725732,191304290,887170322,3847390956,135778968,4721178006,973273821,258397377,2697969750,4946874338,3704844565,220019572,1793269488,4108391539,1893186578,3699654084,3816788841,2786455332,2583457448,6695876614,3791294555,1489582176,2121182898,3757818244,824359975,459022134,5893053816,906798518,1942522784,8949606093,3202984044,680319580,116429468,6879625487,1705634348,5415057893,1809803016,62353682,1538868904,2711184978,1661264500,576066212,858963136,47557460,368354322,2637178980,1241480598,2547462807,2663767278,683684853,4110718527,828174635,5255230337,7175716947,2234795136,1408314885,3357299904,4956064569,1530821442,1560330261,8359675812,710076577,693080620,883026532,7772379921,4618770400,3236993264,1585167594,2632667502,3528012304,49532088,5915972334,5301902448,1413694518,964934650,4096754620,60974627,1914661035,2178150556,2607711147,4388432175,838325825,3891008502,2827081752,417099432,2921601063,4856821248,144711961,2780202116,518228268,481984880,2078246775,1788545750,1841303814,251754750,3673690,2366525539,5884330491,908381256,382596348,2035757601,98643246,3171543976,428246184,2036520616,355106800,2204462060,3043577124,1222152846,4154687360,542515224,2250557316,3901735536,2931663637,3140739148,3772435705,4390326130,1970704560,298710051,591685584,77537084,3882152946,1117006154,2131069356,8783642124,1306742112,4900389672,1657152794,1589639762,484068566,463281485,5620345494,78319381,4334465590,2928780225,279713158,3757802648,5825692503,621852292,143939284,95450477,854974610,1498112628,6837355000,502812020,2431526696,848679844,881905693,1104059272,929394396,1938806170,3832015672,2045786432,1888616052,4949119985,1221227110,40605606,149498756,891872,853449848,240597746,551267313,890430887,2740058088,6169165432,5225407054,3067800600,2281722579,5520862206,2311959828,467199329,6269225384,7125020824,1309230990,4511350328,503365140,5010739688,1995661885,672297220,167185302,1284948192,441057933,2346494825,1276123635,5640076862,1616890650,980736494,1018809816,428731916,1728584864,18085328,1819037284,3643931316,3737351240,6081312503,1932229008,5271344568,2125358344,2612019235,2768245808,4652862487,2051575185,5779337152,116112000,3654782384,2226682173,4380116594,2244095119,5985753536,2071456816,1006073008,4823332460,983024938,8161337304,3593695130,3581515196,1935033446,1597349870,2010299660,1452795741,3659744835,1059444421,1198039550,1223241214,1626210999,2050235504,3155959161,5570027874,668481331,6063773520,2965252374,1396009044,2057864451,79807095,354556350,3644490864,883224126,7542815992,2542598424,3627507000,140146553,3239773896,192997895,3097895400,3927174692,1644090060,84559724,699752456,1650490304,7223742408,337659513,2850969600,3621208062,3494762415,1129066925,502231590,2108231324,1977561068,4222891791,99444186,546742049,1864712834,3489742044,594808109,3117176322,405204119,1727696976,4670489115,3473177812,2775042472,163235354,2988062816,2168707680,1100423136,530601568,662602846,506680302,1675356858,4087432656,3262721400,3429165636,894857782,1628489682,2261198394,1649145742,336612710,36370035,1671315336,1137093618,1070974852,2861608480,2363674809,1656626758,663010212,4374007408,2532332544,2765095560,7271766729,2254156640,1904142980,107529146,496291412,2825017215,739728157,1180057067,5759174169,2361964794,2554997240,6899407065,223795083,59545184,969034754,6302858044,2604056625,4966585582,4204922500,764166606,1464877653,6778588536,1250421408,158761209,664820652,809396138,327798760,1156065,5468835890,1866347592,217931486,1532233440,2551658940,2782855220,4688973264,334089672,643961113,5459246079,475880970,3324918645,393386116,533588932,696037455,1457048936,6602727012,1775181172,5079132729,5131529610,1833313286,2537721111,3479737256,583515870,2519405280,440319668,526630223,962462446,942838400,855003144,3797236926,149944333,2271464083,2311151274,2395865808,1233521568,3100234640,8998352460,3284136144,2506670127,2088148832,5661966696,4877331234,7275544112,4123326224,1913489968,443295227,4329229059,3205942117,750483740,279909635,3376774058,2940891352,7090274064,636712168,464343895,1868125995,7617604232,3546120064,2723412555,3946159488,40949182,2494117130,2700486600,299089404,4989084624,4712799145,1078297134,745770602,4416386400,62819444,1296414912,554903520,1774002764,3100055946,374356030,5465248416,7214376712,1294475823,7144401402,816705252,1780474923,2121565990,61325310,5098166878,2340968615,1773507816,917060496,3216357375,1122770214,5337929880,1271851191,722298472,1250833532,1358129222,1380328470,504257632,5693556876,7246322176,312185408,2501631276,6170517591,1441394880,6664243698,3005968914,2887518171,1389738678,1296053660,7181696712,2703667434,2667521988,571742258,1636858895,5512874052,3945487710,1588005438,4366299030,1137702400,1720537696,3116318067,4350384522,659458797,1104350272,2221467808,1471027747,4240301360,98191799,5506247831,578934184,3519762872,1081728068,4354295574,1727186940,4305249027,5055475806,149239624,2616042944,147637014,2006916702,1642263558,737397761,943226089,3889040490,5348500388,427936261,4207102634,1155725157,2798569842,1615859559,2770280466,6230005768,1251068256,758894001,3993983328,3305759428,272173548,632807689,7548504288,2200544230,177864860,851929862,605910528,3157633998,6884791851,25852741,320500929,6833092448,5095248990,1697387373,4541296135,850552278,5627237958,1036945510,1698489520,1679303016,1417009203,553245306,6812834161,6476678973,537940937,3826009484,1490965902,659622627,2218366635,1303616530,2060213478,6617389360,42584472,1116410295,4437162995,2679019441,420939650,1905329763,960193676,116730740,709925516,3656782476,415026486,335248685,639082184,821363757,378933276,3841545708,1840789710,392800350,30736395,4361603868,5707831779,8673866163,1370926796,1126057336,643691226,1105626874,3026999988,485566445,1213254990,1816277116,1744956624,1293644546,723495759,4480060781,5625627371,8279080533,2920947908,5587404168,2934325392,447270591,2673651687,4509222882,3160533789,464323590,3712494213,2503073300,3252046470,4798131130,1386294018,3420442290,795381525,3062048608,2839736790,4585400988,692323802,774931619,494309320,7345164123,3260330559,5313695850,2126961350,6783982776,1322695356,1831678592,124750301,591585120,6755390922,1944411921,2579809047,448964912,649889952,218651528,8412123348,6751850714,2200822124,4448189648,54132825,1584112895,3328045588,2635379256,2952339328,2604492849,3786434432,165417273,506121784,1531496682,3252288400,1174432944,5426356894,3404668528,595170729,2282081464,1031710720,3313696520,3472015080,4197994496,3249601404,906891193,138302148,432890432,976821123,5255596686,3652119388,2354394200,1124236218,5914079712,469420226,222726291,2274194997,675432816,1552932420,6586996986,1380911040,4334967,514837566,4281612579,676238164,1988802460,753671796,292503546,1040678853,995596248,6590384040,2661966428,421791348,1189876768,606771638,6190833976,3616689120,1216311048,2623260304,31516481,2116293960,1745078940,543822912,1598543154,3858749495,5106658312,1910016678,39584730,3622483550,5124434320,440157550,4731951152,173920254,2409412614,761525596,886320996,3452545185,5972945490,1448153497,547670504,2156756637,4602557628,5829898098,2447493655,76087015,857015784,1529084853,167443856,278826452,950710304,1856333388,2075991924,1861629160,472266471,1842271516,274486642,1937039188,3150937788,230528204,2050591014,616058098,1926345388,2454469555,1038744114,1995387538,1802383875,3471645592,508570119,8204190399,6671560833,818327003,3866992312,2666275377,3263211185,1891716064,4504176313,1763593443,4050339433,1164144992,2430208816,4680290673,191479995,1284227875,2210312052,666182576,2317802804,4373017992,3148356834,855310288,1133586780,2836533498,714730388,1729565128,2558877550,2069668356,417390177,1140326488,2225207796,125792579,542567010,2091192360,7566394437,2133375633,4778045856,2442523993,2224812768,1356397612,1491095265,2619256120,4683977555,980713312,4268032878,4527170137,6909206816,4095324470,3311006760,292179150,1549530556,670666139,5135140952,2276896030,4503305412,4330080824,818579342,3177477420,1369301463,720474860,323011724,584052570,7617777392,2086437288,3075232940,3215949366,7744310680,1446306858,795937580,1815425298,1911358720,5615124221,324960448,5890917546,3187310052,1018136350,750763824,5577242448,574388128,527439088,4640301960,3872515875,12558340,1744151481,1793231412,986347708,1843787484,2082329128,2552007689,664821293,5551366968,2927628432,2634156033,3386536912,2161523004,464750202,484878688,762746284,3256097967,2339743875,4285287075,659842560,455924925,1703332240,2048471382,956547082,4256646160,1193360670,64313103,20778577,862711718,5873073036,1995827246,1629035871,5835496376,67232101,8932833999,1290324,160952685,1922406940,3090164132,7750016370,2141035496,169748604,1330123768,33236240,712968012,1359336180,4076134371,2972107347,392241562,264378904,2322350076,473816472,947888756,2571159340,1161655416,11046640,67282525,3068620752,3364635900,7444788624,451825096,1972320774,733358170,3190765240,1691228273,444977667,2478001510,1214061136,5702671872,156151348,1848756218,8460998424,568361080,5256358660,2440296918,69190101,4535721525,1994799130,85690512,208470845,327119202,3759432100,1764925718,6431346680,560295435,4237189360,444020350,1902358544,245294806,2663243274,20452050,1733934700,1306238064,3633121296,889693173,333083058,1041069990,3564041225,2502237492,2562963582,937494778,2229223752,1268450196,5539082129,1802427000,619803351,6319212669,4117499376,1913104976,5148300256,10562514,669905738,22433046,3476406640,2128380726,3791420008,720824526,6259123056,4724417853,4574317344,1590477140,3539767635,994480764,2602251708,1601467972,1033976619,3211657908,1424878818,347053077,5354287254,2565342900,3720007028,860153245,1386057834,2926547385,4333063760,1675814214,1477428183,189076671,2145988113,1228385832,476916840,1403141950,4167066835,958833915,693739048,3963441460,941283030,873125330,857990817,1938447260,257293491,7604496558,720326058,615417935,1967723744,1824585336,2946798088,1377494820,1224292076,2665759756,6856445151,4025670366,403534362,2725363860,7856801730,6352020576,796661132,6022019962,5001082974,1206785916,5926712456,1048546746,997251916,727206744,2546435724,1304688152,1746981936,878033226,28053832,1435987710,770007495,979785985,8688856050,6284600126,316971242,717318959,465274206,4140543138,180207064,1091722992,1557970221,1936490040,5980672050,4866602468,335926694,976523224,5884813998,1169234943,831999024,307433268,1113602848,1225815290,4288461165,85257350,1593967738,3249191405,1618625330,1835747580,2650964160,876473450,4963760826,1920714428,30488518,1673079488,2883685155,94302495,2918389860,3033216230,345394820,108408604,1363573080,5353273338,4292582616,20119775,1176990122,2134211130,5128628670,3445025564,1202402558,33137306,3946513815,1531360512,5293311492,2786775593,3126521608,1914289128,2034268638,304696318,4028454304,876505302,368306540,896398648,2713438752,1145325078,1977512368,1417494416,910900876,3531486174,1799365335,2023468013,1823689107,601342509,1853723039,717139943,1263677196,840509574,702839500,3672597174,2368576930,5007490432,294307837,500083296,2695170168,1069705896,3266843718,5397522800,612828473,1915614252,1811860113,1665466353,2031999624,2932062798,3482276172,6723000711,2219431487,3487766884,916435242,1036052778,6558610338,3721890768,823939160,2866749890,2896155837,718262244,181257654,2485009836,710280405,5681800453,5334253414,4394668236,4174177184,2925094245,149240600,178131288,1015114293,2259156529,3118236552,1027867628,3139612770,5543781381,2494610664,6535939374,1385813550,846860112,1064175556,104189247,1846450488,1852438170,2116211960,2588761732,3337865238,3315834264,72859791,728669074,5948942608,724139346,1499907996,3528526870,61708482,644976454,3819735486,2483524530,540052376,775236376,308318606,3612137360,2475339208,795033981,1830380760,1681403192,1435310424,7415106224,3782695504,1338781928,3937341195,1716045408,1153905296,3137647190,2977502685,1437956808,370989655,3152393604,2838505656,959890715,6625597448,2239279725,2152301088,729634203,2193280504,2893874118,160498404,3863504220,1674460263,6429630600,2257227,1462119302,3837433986,1436647910,4701341953,4247824536,196328178,2042264192,699474218,752336466,1768215896,5132031492,5638773504,4677160152,6087185028,1589155022,2350853106,1233730764,2483703579,3594660798,1998123147,4625006130,8660842416,182970672,3027696024,296132402,168912750,1072134974,3740573796,2427959696,1293600455,1217746851,1105142997,926311096,323987864,1101777378,1947201298,878000571,450529050,825434768,272782530,805547631,5402302620,673160280,1138206904,6404634657,488077359,860885160,4948133706,6679602776,1135221723,5455605040,104495500,5731070824,4591290400,1692200700,1625476128,3553896132,1651467060,4227488566,6872765032,2863475176,4112872640,4917376914,3657647439,1640301640,3399735832,1195215132,1809882886,1534543692,2476267752,1583034102,418367236,113376306,1044079788,4089409092,4074797043,402568545,5218421628,4305418304,1899095121,590237058,1606927882,178628508,3067637733,3129791545,4369821239,5531996256,1616043744,1068555635,153839661,3108417865,1392745280,5914900323,2120007945,1938472932,2394853616,443353783,5593017708,576184872,5645704176,940694058,1357452612,2184060015,6731571216,6992056435,630154245,4519723710,1444437696,294782464,953983374,2223942414,952438616,22861550,1928645824,1605319320,4570998695,1900069624,426405968,3873063900,5180790958,7591125141,3373969680,759108284,3493596069,1839714930,19321555,6669318976,1292611725,459862660,5063515476,4853212824,726191843,512447688,1083957268,3122687428,532715650,5837504052,2777111340,179266608,732726231,3587833467,2946200512,8850942162,278207442,4179955455,3157320640,1729215450,180802816,2017722576,170629755,1825905602,1034382865,2477722052,984603000,3478722710,1110593044,454298433,2358024432,7748023616,1150283135,4185992342,3173959944,3040916334,2045717565,342299990,1576626779,1347951390,2623202084,434396042,4065805905,3936871720,1394406198,2086499716,3605249510,1454925018,269251325,3339623184,4237362558,2222753205,3099859590,4173556788,4839696978,1008196736,627486435,2488328985,100277802,1356125520,1229198466,3394889800,1028758096,2141391186,3065308155,551934613,4636546600,289270728,24178776,5140001664,2040016065,921262156,2198372170,3311897690,773155152,1629370008,2404714272,2838343626,4990487315,2887998525,1357178918,1838167448,5976688232,538830110,816935949,1249135818,804778950,573073253,774719376,295879776,2041697220,4422929077,758716470,5062782645,2200976275,726370579,4851697311,3251176731,5266766477,2247037232,454838424,6830858781,731269692,36741760,2772577953,1049357349,2670808416,1610806071,8984474154,88571058,4196113585,5674574340,4359203035,836023494,4744063592,1071492155,5529025152,2800279071,168599841,5262738282,274036182,4135505660,203914436,330712754,2160750585,276933332,215612902,3419367016,669025140,1226210255,5955946493,6938874376,934963425,1801797802,38123943,7416662912,1873371408,3822768943,5522372184,3475259700,5565984600,7591701258,2009049816,650464600,987899553,287550330,5507330406,130261940,2305365240,6546610287,1504532322,2884725468,297373666,393698172,216563038,2683827632,4890505120,5077414224,235792038,490527425,2874638192,4265183388,3635961390,4986958795,634403296,951921988,60648210,627458823,5376940534,6115396840,796879054,393541014,6473291625,1427721172,134668716,1883754999,5563512570,5634409056,601598124,1948967379,259676132,2550969852,754290702,5788188112,1392453358,5707775022,309582288,5285172543,569438450,5905367624,3138275280,4760136117,2624490,4901827128,1746425367,5272524855,565827191,171948430,2055127512,6721249080,2634751180,7239590800,1911926052,1759245504,593453960,4385548728,3881895075,3906511410,6912983651,3831462375,1189829584,6896937775,797244028,1624165626,2888155235,4837855206,4263152355,1126443120,4410611891,3095361215,261888532,3395883638,6840629138,1055708496,2079175511,2745086727,4701574240,2909107736,655963296,2675718282,1646399554,665341537,279359274,6918469103,2428063955,5755598220,2729537080,778627448,3360277676,6246019062,3306181284,4915650426,3381185948,7689194648,8147174679,1348326102,1822111698,905303184,2122021263,2937666196,1765983050,1230593868,3391826802,3883529450,5601194154,468076977,1037584239,7957094679,1253393870,1153789228,4236406272,1826509572,4168158930,4905509844,8436684150,993179338,293054648,2938124651,3873553284,1218395790,6067977640,1820507451,1555824470,230605623,1524446344,341920582,28859965,477919443,3230766945,58635804,5359321377,2685040818,2203610778,2819338344,1177962964,2187162705,4929417542,3086310429,2406760677,2013837220,817255072,2405705184,7506343818,8094736296,3143877024,75957048,5422450720,1585029690,887758254,3849962739,2477979056,1936610040,1537627128,1879283732,2115993232,2624188542,713198813,1543016778,4331794812,2106208784,2640158133,6013675422,7304016420,3485893056,1199272158,651919593,731313926,780804921,7421275494,361780936,1159203145,3576300160,706235725,375451054,5556168877,4789657453,4559897700,669041800,3846432236,20650361,289890525,5251216999,3708567198,2974754872,924390626,542345904,2963888148,2314600920,2260908702,849645756,1690418404,1295964103,3338058945,401342452,7216780168,8580992499,770612825,1345351618,666342739,700315748,3147985836,3901415320,2532682047,1359905918,2086820344,5299609980,3087460,3435914692,3481635465,2629112815,416962854,5826703962,2736681762,2697154698,1100804202,2378907162,29605743,2846936673,5382098316,2104752042,2827674052,697891056,6843251124,6115429887,212520666,642526456,926186765,3329338464,4105647765,1633037571,3272157135,5369909472,536018342,392919300,6948941984,3824311614,1271420172,983074436,8219605590,2892467808,75632056,7883427104,1640249060,640759249,1472368890,1934490775,1358599880,1988155136,1646743304,2247779124,6266403773,857573745,925428970,3559143636,3112772313,1711008348,1335910200,1140347144,1021270708,1609655010,3040704528,4199180168,5025664662,1245308421,1608485200,1811630656,5651930925,6714389815,4514214265,1204888296,249545874,6304847136,3660602648,85259111,988896297,727616755,4190555832,6303866296,2033224809,2500683975,216569928,5041195208,1717820199,1021669572,3133455136,1433441972,2682756000,1517056596,5600260188,1834518678,5500362588,2805966630,3902704925,2328594516,2926768356,2701204856,4743281179,5244094891,2322586413,2204405073,769928438,2002942354,1983403024,643366448,836533775,4445435250,1016021250,2024823204,7619233944,1112013848,4837173558,147492215,6542680354,1382260545,459464808,3009579706,4129293385,616650224,1096452264,1258474592,4118769279,4570154928,2070091445,950158902,5566679592,1593575104,3450816920,2075640384,1401443356,4564582728,925922469,2105847189,2401179835,6874641200,4335427400,3656614752,1957298427,182376866,502375992,5215084520,2076123440,2497201576,816788826,317122752,521115364,3502056330,1389992030,959372485,668043350,1543058088,1444725492,740572136,2382149200,7061266989,3926486192,2524268000,273052416,106860295,2459340729,4909367911,2826664824,4894601500,1570076082,1799729652,1855554332,4069633086,429590334,803520103,773355504,3206124635,1771227207,5789019420,497370158,12255424,922064504,795647436,2999503254,1177079972,7321117120,1166280964,653847399,3880974168,6960080632,7559279248,1299059058,4793386045,4340730704,5168330867,1915003318,4027545529,579606438,1686474248,2815118775,2058698109,6486851496,2239041582,4350900560,785401817,305308123,6670261305,138823332,941902932,6384780808,4341199595,2456221840,4059900750,567366210,908972331,1680672483,4589456646,3170515002,2445162150,139669845,1494293094,927160037,109148545,109021182,1269201508,858987044,6108112824,2899715212,9573536,120350888,228096145,662367771,1703172655,3277938032,7525537160,4670891420,2549753596,440638317,2933843178,704059428,848578930,4467835145,974669600,4552018185,1360374421,3467465680,606593276,4754579970,102922472,383462708,4586652144,2881989702,989511636,2969770695,936088455,400473575,4029784717,2284299920,1089193266,2936816897,790439432,1106572200,3355805838,6108511096,3328670156,6875130731,7985133414,521862510,5812033680,952559370,6479105931,4530999882,1201698872,2024540535,182289426,8812305207,1350046530,1757674254,1938359378,4422460832,4542642090,1873806270,2742722610,2770611504,1784564836,608655858,1386501501,7513178967,5410517048,155639996,2876850352,2944173924,821539222,1984500376,5931058140,7266794384,809891292,961214643,6168638007,6875250543,4771901582,1783694104,2920458344,5472680368,87131557,877747224,265265475,2079817250,1276936310,50449022,84620460,5215271215,2278576825,2698864126,4091954528,646940946,595462122,4120909645,3843399940,7941742542,173299700,3021098220,5819612580,1614452619,463260192,3098187153,976308574,4145225930,428131970,5866123361,1436327700,2383842104,1407395244,3058361982,4812324664,883499525,5640744108,784447632,5062677606,1214485204,2391529104,923135725,6306126680,4149072608,3521035336,514910023,1526524608,1347876520,983055828,4278596800,6854422833,400290907,3145593210,5164046286,2608936269,2443138760,5658973460,116354418,3321473724,2871810375,156173590,1020049120,2366030548,280496562,1131284343,4829026626,3973482940,1151693543,1019925190,7461220158,4848914808,2013962274,2988897737,19821973,432292940,1012374586,678550176,3453684048,621035030,8405997147,752119663,210677596,1528392762,1420771206,1815461740,6298439196,4673098563,485766506,3907930540,2809464528,616585544,4549534614,1701129860,5389667088,57268896,1273711779,465158975,1997560090,2051369264,1938751638,968264270,5429889339,2651494941,3545379306,951206828,1504776750,1105352568,562924248,599878302,884673926,1247381611,1432197872,2286192978,7466442328,794530296,607585170,5441920085,4748631608,781980438,2910092220,5324592245,2830612191,84010808,2885473224,4614423258,5339605398,3310975440,5188162357,6065583412,1107068358,2936905536,6280672825,2689651645,1430297984,1686006392,5334531687,1093545485,6014162434,201798002,7375389496,1762805530,1636860573,3636450645,5646807544,979058100,184324269,1024286064,621106167,1570234648,500737005,3554704930,1942248598,3773881208,601711248,1666709926,375188912,1514018060,618926896,1662348108,1642863976,1647611866,2825813460,163479595,156104485,3153390438,719916239,1942594135,894107650,6787582998,489388655,5712704270,288472149,1196037784,3433816600,1362441062,709481796,1350894312,1817787288,5295268236,17476640,4342045428,1226970380,396765726,6313447063,5565209960,6769605220,1659407484,1329236735,4618226268,5937828291,3966782505,2376431058,3249495130,1421676424,272496802,784309410,2975874369,6096577527,878059647,8294999067,1836302432,5263415896,1286750553,6453568062,1512701058,3390042666,993151195,2778748425,3872607840,6500118728,1687066896,4562488168,521893392,3549937112,3014160595,1438960780,2540395731,507803348,674835420,321217455,2098250664,8099711748,532758008,752703708,61903674,3353751156,1602843534,2348154102,3481153200,2100742038,762234970,833421816,969323704,5042981130,1087873236,1694818863,1544782624,7907097762,2581530240,7289454582,693062761,232924377,5414420232,624279553,3383000048,1321450896,6164055264,321621020,176779872,301790316,3413487726,3410240764,850549725,620516960,2674245245,782450564,2185891547,805633867,337808560,5577024240,4806258435,1233901126,1260916767,1446049080,637010674,2350106619,5980724196,274752744,5526871638,2358721920,986402916,101564796,689232831,3631855572,1840434214,667915710,343805112,1164500752,3088466976,2028671560,1925836398,229639460,3238146042,2315957352,502062404,699355724,8598523500,1758169776,1094248420,1151712246,1423905062,1315588658,4597600680,3958425724,3706037888,232196309,2099431624,3670790646,4183417464,4012522591,4816714824,3001094400,596621056,387331516,1209332092,2725449183,1998313068,4657915875,2022107256,3457028644,2595818970,3133362372,4484334897,4765615585,2227283508,5912538968,1226667699,5443650488,7013179971,3331279948,2625508599,3594577392,5641400345,2666712450,1847549438,439712044,5942221524,6945398028,7015704480,3856913019,3459962443,1446308738,6619198221,1729051378,3835037214,936200724,3070655532,8660564298,3471718510,793516362,504811472,6907166420,737648505,679216992,727092888,8522636049,4400642765,1541074808,2262045756,5839291380,2928719087,1477189670,4250787660,1217907066,2307653250,1573485105,6801487920,3158510159,266927808,1882085354,5623783512,1603827800,5175011345,3554726497,1730420340,5635385568,1574993560,6376982066,919004918,2511056864,388268578,2028628924,1903269436,1429929846,271811615,429346133,2537571170,3357910136,228277470,312507238,855621904,1733797930,2949940092,841763431,159251538,711940044,286710885,3008379036,2562589800,2307212128,496633584,4044758934,1219743798,4110194155,284462870,3659428736,662181735,3689079030,6657218800,132822107,1504561726,5448866964,3377450412,3120961602,1867280398,4972820535,2449497070,2153513480,2615868189,1760547836,797661172,2514195306,4637360400,6319859728,5242015744,4647845520,4049930205,5658892928,2631888519,596259609,6302846224,912040890,5630506236,1418359320,927097410,2452499032,3011242304,2343479988,17278562,6293603536,5489087824,775825416,2946982284,3819480485,3785027922,1700994938,3612697974,7864266186,2197606932,3978992941,6542243704,1072679928,5214670893,5765186784,804759234,691421547,7664275496,1821249088,5305334784,5921444382,1215034422,3538537944,5662626584,1047750928,3787426076,56502003,200230935,921077482,2510510168,5592863943,3566954232,1640299915,6052180330,2989206052,126077976,138031944,2825219430,1777751868,2924880707,1637353926,293727103,2954483485,4586297170,6530827696,212521236,3210323175,1027769156,5363841645,1816229688,184762311,778659450,1805658594,305857857,3079288360,97082202,4455706892,3822792164,58950526,365264412,2628517400,7830407416,3201018228,2080199892,2221725880,3420581010,1248950106,461213067,2079070590,2643763431,1802306256,812498730,788723888,1452390226,678910040,1894904728,5091925836,2562448748,6915669440,1300051074,1365929535,73880802,2282123080,194163380,752924232,2253446397,875493244,9502275,4592333326,3960903835,2705702022,5490266224,6807432303,778798917,272617232,985936224,58372858,4781189016,2810391465,2584446576,2662292544,1506999320,6690178080,4944568788,3839372278,1065592640,1257829920,1242591068,1391279515,4424133042,5832593550,1794638860,1705628802,6861558040,1328252592,363381090,2759499976,4239701207,815275569,1357707625,770223756,455834601,1152761694,6185967920,4610762910,6649078368,844654165,317996544,928820860,2108060605,3493980225,5396565843,600279965,612278228,4442585028,1974450528,3609168372,2239237632,561355738,731363854,2241242451,853476302,207916578,1064681984,891055438,487275396,1024520484,3739352056,4954122278,823601598,2767871335,62570376,662777269,1132766676,710142716,2382493253,5803647712,778073640,8345081367,3391433435,1164759162,2726121585,4666410664,5523343315,458047804,267022287,2132493345,5287113034,1321295156,4300842855,279939456,1979216988,407944722,8460255546,2846129305,1704165410,879739340,2257287036,462957084,3098073622,4400403816,1067573307,2061128712,2178616353,5524496320,2365604176,1702073604,749264716,3424925580,5696118784,898589474,206375700,5295900474,2086575955,3346899765,2359056678,4894244490,2066557822,2126910660,1874759040,1475711924,6908779801,4714193351,1031475592,2621848800,6383663573,8817253767,1277688144,1853495917,582727384,3788262657,3222710008,1381366444,2211941746,3106338494,8180468226,3517881860,2449921989,6492240928,4613716970,1302216078,1481888465,3140946320,8796974841,6568685523,3185065530,740724948,1998454030,2330291117,11032574,1931491414,991445223,981561832,1525115805,2433527645,351986656,2892272607,329963834,511473772,4630809312,477852881,1451964185,2094134073,802788431,4077435096,4579648770,2822316141,5801584579,5384124688,3581126598,636968409,1129442620,2048233600,3662561896,4906259715,1751736084,3878492632,609556962,3136823624,1809083510,1839218097,4258327059,834585836,1385558530,798670110,6371723694,3213220928,5676398928,2779584684,461258912,3714412608,2388034653,4019604210,7319268873,1573684056,614258136,463177602,305194540,775223860,4456580661,1801591152,2990315817,259928661,2014312383,1129039168,519420702,2289886928,1642616322,2042622069,367905040,1012288184,6074600661,2667565728,1886208128,2954109830,1372278665,2496443428,543987626,3961696018,4109682367,406657880,2589231057,2860049673,4852120530,171948645,1839410859,4048078314,6794141606,1173260977,765186254,4222214022,1755411720,4942023165,7234567920,6388263609,1312881550,4482981080,6770021920,2637679328,160483950,3916840015,2625595064,4871878425,1423699608,2180374440,3286509920,1673136752,1530894672,4393288890,614150416,1325853912,48726385,1405003928,6456016848,2072102632,1471947768,8474151339,554471619,2944629384,3902802548,5105993410,1468896634,6520011834,3327417616,24728772,2015064248,4596673152,2083040160,3906238095,5035104708,637441854,3709542520,4993819630,3554148080,955169559,770130415,2725714971,7453259344,199250280,4571897395,3313400160,1589771618,4214632585,1923203792,3709642536,2754970440,908897592,3470545482,1585054800,3259736394,1908071260,2177001670,3518625924,1891649604,2175137724,5082749528,1469710534,266619501,1450966979,613687198,2673846335,2360791265,1428890376,4929422352,2284419557,3622154200,2185517763,534347757,1194392376,375374501,635146974,365079652,6011481568,2849656617,2912031720,884893284,1746928076,6830629839,815047380,1311855576,367365560,7831458990,3791537632,1939200855,3389506920,2378910550,5072485957,3544081496,734189604,3951969287,1889811040,391562338,242357520,2974798510,3057992184,6260313402,3669818736,3402428420,3899755692,1956938284,3416728912,6771209137,3085809784,3343042566,4579563105,610768212,3625636410,800931449,2306423168,5358700888,2872804416,4962858103,2598595304,44030265,5997066741,3224652264,3467559158,3151310828,1409248260,3359029485,323545320,7511454032,2118166848,1301051650,668458988,3039087359,959439827,1497350355,924569610,1273763022,912436784,1350156112,3521552616,3704499996,605508738,1059545200,450582018,68966507,7779551850,26095968,857244500,5179157532,1265264140,1256414800,2075650787,4403728155,3851635242,3383081028,143270265,2665136094,1971944134,4542350382,4516238165,6469380592,1221825741,3834161324,5206810242,2759938710,1242050060,1087050363,590363279,450306102,4203949554,538544400,2895367040,6561527400,3100507776,4466650220,3284249824,7538645176,3757627820,3497485248,5827829016,1695636352,3886345344,138416489,3400209925,4884244720,23544575,4231795986,1736801648,3992207796,3018693564,1107762435,725936653,1660012779,1528514675,1508767864,187463312,351745443,4135604599,1196535893,6228477048,5148139192,1346797620,4956462324,5476694418,333942315,54419987,5450061568,1107637884,2972159289,639894736,560077277,5738064871,1296483888,1440069132,3668175940,1490113678,250959975,5060550648,1085490642,1312811025,736307208,131626565,724370536,206569296,6392241485,120599970,1671544968,2720159870,2405641071,5585226605,99733625,366450189,671931580,385444075,7596763104,1370263413,1413109358,322377673,6946728166,1287377096,3162561444,2649462916,7929263376,3031677704,1168181250,4484235370,3246766292,1488335396,1294664130,636816053,1819519696,2419544910,3441952725,2354501442,1553850381,654474184,3756267320,3243902980,688720896,5405328915,1488434335,2386887150,2600265243,1598893815,3223761380,5305188816,4443533003,391164624,917804368,2320064028,1557875356,189887843,971328302,1090373619,285052256,56957829,1968647320,1179113752,428030310,742515196,1058405356,4720729235,3599411095,92220063,7741358865,1314704277,1253699928,2460360172,446389338,7527349620,2063397342,4399716320,3432286425,1792410418,24435594,257982456,237596128,640978743,963295564,2634221936,7479402489,7001334720,368938571,991283404,1571907356,1779557264,5662442310,1454787390,593947466,8616919437,816054617,1055292044,1024400424,1805684907,3261782818,741964716,6974179425,422187441,3724799673,5355866457,3685152068,1905685150,4362814912,2792564620,2441625823,1403118054,1271827980,586589547,4247636635,1655964324,282722548,1685583957,140026668,103907850,657746361,5863789665,5359610214,5771847074,1831332336,1602246208,7432409416,1650447320,6737739057,536840166,5611579036,860690054,102735819,7424937152,1930671000,289757036,6907657638,4099679980,4187376055,3407467585,1154156804,275682330,5871475757,1672637960,917525303,2825922906,4411874160,735714100,6545865600,1692626688,1390053665,425422110,1323342363,291041660,136696000,4555593777,479304910,1599331155,6732358920,1460089148,1271305910,812220452,3058965260,3018386868,597692460,3566693142,588991744,871370448,1584410920,4539411305,1632875962,1143213687,675311346,2947509774,1718112843,1131186480,56192400,1443884186,4070115744,272349299,4291831302,975816380,7188964182,4892291790,279513929,1301277278,1869732436,6609960333,2177724138,1261450017,132649122,5655149688,2308479040,2924841772,4485353751,4726415590,6943417089,316005694,2741365600,1463694864,2112127644,5328923496,4926262595,3529131990,346095956,6487966608,647463732,4241859849,311551114,344945290,2684407136,2304450472,543393318,781529401,2537433837,3232755168,3113888136,2405612120,3193142335,733395016,4771914057,2119210557,247392755,635193229,4054943755,2993615190,895219140,762747740,2132455710,2404883853,2548429960,3063037338,4809676340,887819106,2877450790,1214821280,5413723224,3243099980,191704648,461053744,7915920129,4870771367,956052330,778331153,677184342,3022628775,5014655778,839224047,1897624749,551858531,2952478449,4155410590,1058099370,592925384,838798441,1322035368,309967742,167588565,1522362232,619305980,434659462,4949233816,1918054964,8025795000,378237590,5706504083,800952538,217335646,7496539312,1559900416,1156888376,2508211168,1694806398,3741006840,672110025,340897260,840424414,921535654,168781629,3302361546,4910801598,703546992,1515549420,4507134786,6284787845,2050940765,2064010269,2944728933,2150777488,276710188,2813133774,304984695,400856107,759660080,5161293126,3247149702,7638747435,6992883080,822695054,1734118629,458434229,695076077,3219056156,455823576,1010937830,4360976735,3279803796,1725638481,197074836,2731739864,1630908944,6846280217,3593848615,301800090,2512659429,851916607,29203392,1946657090,5192656602,3567422430,982648225,1384852272,5451946200,1041798318,283319768,226428647,776398738,3035833983,1831276307,2783081040,5354629416,6433031112,1187709838,419973272,27786800,325514109,6490043455,1763242642,20156152,389314500,978119856,3213491940,5826372774,280808124,917255159,7322438430,3215389260,2546471574,2577712842,411284621,6373444308,4638074495,405393232,194664710,313239015,1244166168,4631083008,1639059933,2144869385,1365658572,3697951440,6031610595,1046453821,1413171710,2688260196,5498734927,1057550964,894086124,2969710695,1659538978,5394215997,5333355784,2307736944,3516481050,2607862128,3097180830,6509634600,927731872,2305461720,862591864,295417070,1361772858,3525234174,1750559715,2740650556,1094370394,1889894395,6393319765,4827186588,389078286,5745417496,301980329,2924262171,6287724128,2532137700,4703177801,1445032072,673837224,1565558646,845184703,4116982464,953743239,1178537928,2435550756,1788817692,3894765728,664991532,2828192205,2358521068,1897671459,1452761220,935124918,2324790006,3724818723,1944222762,2471499972,136855706,4297200705,3929084676,892346868,7138535440,347291442,5611321620,5846181520,3942568950,1728439419,2367477430,5992702736,5846551235,529580249,938812860,2755792606,6101409160,1218194296,127568553,2698875384,3054295359,3183236784,1688656249,5301662760,156953454,211720104,2263104093,5746702851,1688197530,943699155,2729643592,3644995011,157808704,3728699118,4898931233,809441595,102911912,4863485675,1847144922,3111631992,955650330,1212088408,616652054,750978587,2077950340,2371431461,2070474900,1957813616,5189310938,845464992,424799198,92490970,6818316256,258563176,906385398,671728488,466060618,660671798,2678793173,847373980,2074889344,3738606080,1849315202,1106304196,860800615,1810342240,1564990295,899039197,51138500,1641571539,1918652760,1939743180,3907275290,1753450860,3524119158,2631120693,1590362456,281554881,489043601,2102146176,1324446980,3891545184,1049787904,2789578340,423873520,640309168,970521057,1770588666,1521618868,2968927986,4621544403,5714358405,3849408837,1892970274,1873588300,1267651987,3978023904,7056827460,3825027450,285393393,560397699,87766300,1919640334,6436922072,1741337402,5502740796,4676040920,2014227204,4733719788,719847369,464776584,2056064175,3437749230,1603657224,307698030,2379905476,1993368820,843629409,5493647075,2441340000,979259960,1599849406,227775786,1886612616,874087361,3596031603,1617556508,7421608216,1666568920,134905099,2063318427,2217478659,4754286369,1090579152,812175732,2239698081,3239420670,1879987246,2600831961,4973181768,228133794,2252233445,1438658253,1627909992,7148413776,1443299068,8943375087,948474888,740013402,515749010,610647530,2054754660,4705684448,583244608,2764262784,2698727034,989442770,2728796357,1456415520,4281837190,427076632,659723952,3513746208,143498169,3392613536,6847902418,2996990470,1530052104,2809427480,685012920,3607045570,515817408,237588426,1061537673,444535263,2327302422,74263362,1960112390,4374721254,26987802,1718319162,650676192,1655544975,2773367505,2017081175,4264973559,6952828582,5793517902,12542670,8086114089,345769035,108561893,1696594804,1746159120,739842642,540123632,294494296,160064302,636996672,254842156,35101174,1171079132,1147062402,4983558167,1702276506,1637446760,1396038819,6508076085,236038705,253774913,2917010178,658535304,2512148706,6818905096,572669926,3321731105,252173708,1620542120,1487021324,2355139338,106977381,421127784,5837762728,710847268,6291197619,7718445312,988724565,864242316,2547474345,3350079708,2512970604,2677885835,466861700,495013011,1352085758,917875881,5913622548,73369897,1307586880,2284867548,685323736,2680448217,981781807,1858103667,5937010120,72961776,1075435214,4206411664,2470170618,1828188660,300819201,1336876136,5669251614,1475961040,1499546610,2014417545,4079812583,966970740,1403401344,5295275901,3534822068,2899958045,5554256706,3980242955,1397643051,456838755,2745218163,132884765,539986670,873955668,286412692,397440540,254367816,1172976794,617224476,2986308216,6245671023,1539147798,2039191596,2876177868,1157896138,851077539,832614324,3662163016,270371104,1653006158,8611331301,2881524852,4456775071,1179496485,886096275,239678903,6178208265,4292588744,1582700427,682497924,7742729871,5845459293,3770123584,2890975108,371663099,2951192310,1813895096,716216034,7532901688,3470791280,4699147152,657936027,373950100,1757994252,1038032472,5310494798,918408820,1778018656,2642370325,5749593756,3464693145,2733377680,2207079616,292153563,76084996,5618081301,3179984178,5959921374,436400445,2550596256,817590873,1527092652,481247986,43522790,2907360200,776144400,4327334976,5065927960,517441448,1607542596,2550194104,1785289892,626476714,5761889106,857743012,4571086365,2228875398,1650030755,898374491,2045749135,494007888,1599639475,4519886105,4722899410,3033675680,1598559032,3291489446,927426768,356222304,277061797,4110190584,3138755636,6182792721,2316510436,1826587944,2053260124,618549068,1353920902,261681376,2544756835,243314656,5964458184,229440150,1355540444,2807595648,6737708772,153186936,1365934692,6648552666,2363397813,782296950,4623990056,458227579,610458447,950332633,1723324068,3219952750,2914824003,1023069950,2979383388,737813228,7881830307,6434318702,950973654,4971452370,781703148,692176914,3344989277,2092732468,393790144,1833813754,4090190031,948375528,1125314528,2414015298,511988685,596802480,1302836787,3746016288,375626592,4505391906,564401825,1584979366,4413369290,130892314,148835820,3445628214,6238952289,2208752756,4214509504,4980919734,1208615445,200375278,5074635744,224541696,357060040,2735438100,780712400,2012080180,2060768850,929402514,347544624,2368579962,337603170,49395816,852961988,2165522724,3947476758,1639405260,408696294,5322644530,818397416,290195940,39087048,626157006,5124519822,1701335328,4461762708,210515869,76539240,1170288516,4601717155,554725092,135303014,6765589392,5321259848,4576608900,1845044748,545084073,231809958,457988149,2185681887,3502100440,64434492,1844193680,5711668110,3322375748,3989195428,3395380716,5068082226,802325106,198636624,120025172,3801681716,910818060,4426533867,742866855,3557765100,845979303,359014434,3869798580,902078965,2947018320,863297939,8976382290,1758583602,1235019030,5659032204,5502280664,6847000866,1112010616,7974589149,6825517632,4370402160,3589762695,121020588,2143476940,757749669,3391950504,1800390066,477836064,5002848207,2454957897,2112496656,2245173216,225378324,138604338,117455413,1471875780,180789611,2269678410,1448296863,3784080580,2880467739,1469743768,1470503640,417029145,720734583,2701980288,2403769824,3248122190,4920160777,4431551148,39704901,4421042670,361206570,2267009848,1627714660,1158470889,8425679166,636771909,1951626339,7210331370,1567963728,1819991453,3879485800,1442345835,1069459105,722455371,377511924,2948588220,1263845989,1725143304,3992540475,142738345,2526289269,1718913518,962544678,5636220541,2450585092,4127414465,1508947416,86570832,84564783,2003490167,7642037088,65561670,1299604552,958252840,3875896654,430933494,840039838,283687740,2945090040,1941928408,2306875748,2371118451,5191811184,3536093490,2621174040,144062523,546468510,2144393241,2227854258,2391767500,6423929696,2998300968,75881010,1118041895,6132566153,803215113,4355032960,2451222729,3690959800,3512207556,161667329,6198672669,75185031,610528210,968406270,122853355,4196819760,2203903232,1954872408,3832575596,6960598288,227934928,2256313608,141240774,1006434144,4740082854,454330326,341652390,1357154900,3712374592,7819095952,86444860,1909088200,1166962356,1164161607,3560085684,750416525,3852824936,1442459054,5077276911,4956266808,6624673758,3904268494,640156723,350760152,4518155089,411222081,550822201,1170072270,785188128,6939692011,1165108050,2438431722,790659990,5818020288,2190145503,3445836065,4040821452,7702309125,813162101,2400329862,3762584624,2051966091,6533105411,1152259330,3642693725,2500166188,827310777,4868635920,1051845550,2660596842,6650062489,6658080975,2497903195,5900319488,3940020800,3477997374,20224824,57325544,4095724362,861474880,7226355120,1372541476,1231816506,3093409360,6639400369,197135104,461051525,3624851170,745837882,337763920,4937189340,2277697144,942500596,532534504,1248987756,4888330362,110580134,8879741001,1105364954,1676770066,3221426106,919700848,3495888820,4502089818,589902160,328338308,5547051720,2393529420,3848332268,723172982,1465740818,1366669052,2846952784,192604556,3340145944,5505417189,803713165,697439652,783860973,1999252200,3129355537,1124670960,3974001290,7667206677,4315726107,1302665385,2996179660,3896246936,2087176203,3055718540,5301437274,5735233494,3309333664,1485822699,2670178203,520602719,4881791719,849144472,1558483592,1997444583,2646273609,2371858974,1802640651,648573030,5087979208,1635861232,168031699,4176955776,5938134083,5509516672,2253508371,3382242563,1090531688,53379672,6440645496,721799794,746443656,1859117079,1857057621,2625954585,193873308,320318543,1227045522,4595956195,626477250,262346367,1064620360,3224057040,270749831,971488957,2352655512,368191264,6195549348,603665228,1054662978,1959853512,540005694,428096112,1935467676,2114808770,2792930121,1782662848,1725130132,96012546,407214216,7738860256,1548169155,608622234,2046972840,189186204,7011621918,2899983880,3109141175,1086796584,1218848830,454718194,1009273984,1524840282,3703284348,1657486960,3643481712,728349457,2065166934,669236436,5799266559,3069492680,73801466,2713914468,4847790248,1810388496,6643616805,1530836100,223560202,12712308,346443125,1363927292,1674708900,1377683997,3106447729,1329311000,584359892,758205206,6187556799,4861128216,2077793877,274754205,3669338016,1034822703,340828790,2578168665,668042326,3694193,5685392748,3082006971,868282986,1618520410,3614567405,82607832,428601232,306902316,5678528409,364350273,2459600345,740916972,872581926,1853626894,2176147184,3829607046,674326540,240185084,2361848904,4646371896,1154079218,1393269270,2415200736,859375881,2443524376,929572908,1138643856,785612427,5357726592,1952314432,2036653284,1255933374,1487526678,6638498388,7559033496,242993630,711183040,192199788,1590499804,2331016408,4167482145,478489710,3079615923,220453626,1709327984,638529440,364745239,2753309552,4772621412,3663265926,679136270,4141633279,539578787,707096243,1112310054,2070525717,1470329382,1611454336,3608711575,4377982110,1963163164,540506414,2408482590,3764680689,965649010,1090105765,1781336080,872274650,100999496,4809081705,732025038,2996531448,376103300,3762218979,1025698926,2108992710,1554824712,2174105385,3300039728,2195271888,1803911426,1947915102,1354612278,6601474584,325754114,1823586438,2852667624,1309681926,5569262573,726058563,6225463323,4936318270,1690298508,3142019940,1884799530,934423853,2013565848,2712577427,856809030,1680018518,7572783465,1002533020,2257205084,723318669,941404503,2913656562,2553755172,2759828562,1591827816,185152494,1540725518,1447504988,1020137976,168977873,88356760,2779370153,5679673155,4918394670,1473458340,2903043228,2369965892,1914446364,4306723328,501556510,6962481920,1263013582,2754191225,2324668155,236948848,2823161145,454481964,1893726444,4181437344,302715022,1827031005,1181099390,3022391845,1260893800,4151649915,6044858829,996274821,433654579,53132668,6843167331,290076393,2370636936,2190831201,1412846448,103136268,1653589314,1092737517,1242726615,5239797084,5776219624,815560436,3508183188,8074820853,1282882443,4182886359,1547152235,3613649128,5021671266,3499794836,8297535294,4898298330,515544132,4851329875,508288328,56091982,1276708055,1257890554,2477341938,1968353796,3291583498,7264302192,4219425895,2323191717,1855639008,3403421040,4329199350,4686081516,2143659384,2609964720,1403189697,632538081,1155544180,1956728664,1364382044,776936252,3921334820,2702232372,3372597669,3901936032,5039817402,2344592440,6741058177,1428719262,5939658690,2920924592,5884578700,3278944991,1999950042,1269825921,5877054304,443238342,2186607052,2969974136,190925626,5981497299,2640145068,1223426880,708431902,3006605112,84552910,4105443425,51372682,881410678,170724568,5866433048,3659584167,5715447206,7045949196,1401349134,1532890702,1042228060,1935986075,1162538750,304060979,2888628312,2109752729,4027818305,877729611,717046995,7998373632,1107530296,2565560908,4660239168,785091622,538952196,4655521563,2433213549,976155516,2904108849,446538392,614418522,993399036,563742720,116123713,1006061768,966763008,974465928,3581068795,1655600628,801143176,3057852504,3772013235,2978923822,346755096,3557556018,2758349984,6659366144,22343532,1333853182,3866512875,986359304,2654850112,1524956640,870565932,3500318505,968478947,1298014132,2255809968,5690906046,804315326,2075207193,1881909327,2008688941,713877997,166142090,2763783342,4391834550,7258789040,5030273040,786300981,711571320,300128194,2013958225,2283184278,4134293215,132562984,355549782,45593448,1289536072,1233482369,5602278032,39594131,2970183628,3515247065,3204732224,4659146690,3319338792,398654196,112799078,1814057396,526833378,2959161954,1849544614,160392748,638124378,227593358,5431486149,4553354970,1474416908,4746449967,616682692,1931936658,4326820912,1701311130,497853111,5719351896,2767538529,3003045510,827438354,4925306982,120144119,71002066,5450769984,2367077880,2522983328,648873674,8000965260,8976186486,2290467718,2251967855,1323476480,6127670712,114418857,5060812392,2753360043,2719895216,371514516,2703090852,1354113972,2246065748,2291366409,1191360716,782050832,2575423328,2395556628,969782467,3510749032,210936186,485198259,837533613,4163526660,1262880480,2795991196,1548350144,2260548684,499068744,4348059035,5157917274,1823248600,260939223,931226330,458643127,819224644,2528227398,1445835185,5937166072,4247175075,680077773,924560768,791304054,3588746245,8001846414,60610206,1791041504,1585226205,5935342674,1902268752,6691009794,640450784,1591281020,2390741440,1131200954,1313304070,4547574855,4006653329,686659806,3132141120,1777058255,36956166,5248094831,36086520,2737282280,491092022,3354496260,607382271,4373313768,4666183016,1944186609,2025426325,1144915528,2058807222,6769981799,782290107,1238437949,2227759731,2898155070,6820184640,2962083906,2588267829,169403600,191150343,1224868704,13641893,2259409614,2163137655,107699091,345778682,2259637713,3342412556,98729296,2730617148,563833584,1323408330,728677710,7601417896,4163906526,305985912,958196162,6238601736,1920199482,2483328807,1453614808,4684248288,840506886,500634401,11895384,2116570568,1145347086,5348509024,1513594050,6161063296,83704705,3976924770,6313458536,1543581510,5093005176,344364503,577417576,1255110238,5454356388,1987498700,7618437824,64332945,2161551812,5855606953,2205384976,7875105201,1858403388,3264276480,622700064,3478483584,1672963572,5132512656,5973793731,3106299140,45160700,3177666760,343958096,667469979,1038362259,3581297625,1462060674,910076769,829399216,5279818062,80846115,470284360,2763668928,486051750,2244541392,248690320,226084164,1596639124,220577982,1075382105,892193860,1650425490,295051881,3624744668,1188238116,2211134991,2730173768,1380542544,1277550026,1098843774,919895658,1767996256,2722827042,1153069083,471124649,101594964,3371293916,1108116128,198206120,1848206844,4661330868,768622670,588093199,6512388320,6837088573,5550587328,3442916730,4723414905,52042605,1830357171,4119533352,2844628062,2413587750,2107725360,3276816108,860928936,7053450264,701704782,1605644740,100583423,1968000408,611530524,2866014710,464331772,5156867178,3296622610,2170518812,2377488393,2946964184,8093761362,5918023917,184961025,213912248,686681310,2522114073,4876025240,4610393595,374498991,2203740280,1731526212,2208606537,1915279092,2848772024,3306783220,7528149072,564490257,431281940,1469706284,4522824544,8111637198,399743206,1681020285,907479753,4839944913,371930382,8654896044,2651148483,61271865,83923272,1255990887,3373832544,5788740807,765802624,266562320,2818452069,1330312366,221523317,1630318488,1236119384,1695342645,4136763330,369951015,1492396470,732043026,4970065002,1880037328,5460104125,2008566288,1194919936,8181287730,450845566,7296012585,4831527324,4187995317,3037830867,3480465654,1001241396,7038614960,943457704,754218415,342603659,1047025365,50623290,4497414576,529596618,3509090868,5331433940,4055210532,5125007048,522023766,568578219,2431253664,327242920,5394474060,1709085705,2981020155,5782187744,4527165188,6665463399,854013844,247105823,2900781084,962370368,98181738,3012715292,34617488,2822847150,194406730,353169852,928980369,4093084104,1203153828,3077031284,4604808753,1923872385,6466572056,2297058927,5112360900,628897198,1254103320,1808850125,1721905479,1462494052,6228186279,6909515384,1935165071,1857036210,1523836293,3761606072,1045600002,2664112515,3250852560,3884147810,938737951,2989414472,3867244353,4279116780,1777759104,4073353128,2886203756,1911998312,98349402,307974165,31726078,4449310776,16739979,140903854,7502035328,2831392638,137530670,1576384308,2898419904,912751397,1486737054,248686109,955524987,2878288284,6173153504,680775144,1140024282,3243271496,1904364632,1047460167,217196827,437322410,3272994960,1550486240,7639049682,512078496,1174289672,1380292448,3846141060,944388460,1884272472,685570992,979950813,111909411,966320845,4346897553,8350656903,1181105991,40542551,321175697,1338785700,3173996388,6716495376,1387011788,615554994,3947860464,2884305042,3961799829,16464408,5501126526,7848336411,1329264378,967355246,3317208545,5160081186,393748974,4011544593,4754046941,5996293107,31149304,87241240,6143388344,621348168,3807373570,3405445035,578018351,1598609872,3498939222,8396862183,414593355,947423828,2573951154,198266985,4200054078,484697061,1191806030,2794086240,807947203,275031176,1047780332,5573639904,2278800505,8544617478,7009035088,1769738940,3483130768,3983582128,410432970,680319477,3982639185,183263613,6907116784,1806230829,3302587125,5472473664,3472048925,2833169337,3407997985,2447383095,1191192224,1885312534,672648216,4493552050,503485914,886823381,2992412264,1907527239,1741985260,176971272,605335262,6618566624,2080604946,8282811456,6700949748,1027716660,350156172,5938723632,2725687804,8419538961,3690914796,3145069674,5298362784,2261285736,3048554684,5153388552,8840635173,2136323189,686092588,605016906,1241751952,408133311,29572050,103067571,3480400428,4603488552,4560344390,775154900,690786558,5206772074,6371154202,7934165160,4748242510,2398263686,453633304,764034352,3790680348,3459044576,811517990,599262764,393764805,2010416244,635132876,480212192,2479559418,136003209,2501203208,65667920,5852505015,1988037435,608487195,3546258462,3623866680,4260311995,3868693974,909507051,1320309322,3665906532,3570633207,127952670,1884834495,2038223485,4915872260,1857429938,1679523052,4555044942,70827343,1596447764,9399492,3101851816,2915917662,368779420,233293443,4918431872,595783425,2158042320,766037410,2518293285,285995897,4258390565,6829946298,5003723574,1597347064,101309785,96477864,1679049480,3657963836,4685851611,868360200,1791005658,2548759869,2755826955,652384624,425811597,2673727251,7368000219,3781989396,3979470348,1858064276,6128371520,2461931436,373041316,969376399,1021113498,56511455,7350407199,560835770,4292193250,5861938856,4711134276,5184178251,688847290,5344241067,2118105640,4831495248,3866801810,1497240670,3153174545,1582332834,5407108928,528413840,2006623626,315063579,3925078328,4099666278,5973800014,4752945309,989403908,124365198,165362407,1096708310,4673287535,463629028,2072776755,2861194144,4321309690,1257304720,1306724798,3710255772,157963296,421590548,797992223,1750570299,667553028,1241010090,2837783592,901498443,4193091270,2845903220,1521738112,2468539402,914462358,3305404816,2298458740,6561496128,2017632440,1710011586,1982118760,4652105970,2131050425,372300772,76957620,6731110107,5518641642,784742184,1341471006,5181697926,3698414298,6439821168,454413760,223299318,5710318112,1683897880,352585434,8963027181,4498717349,5904355592,2727029484,2986155279,209071945,279480684,4240825614,3558914160,225132221,604982524,56242322,2887884560,4247020659,648802851,5934728724,2905522218,1379083408,2222585451,380863383,4939094376,2743451820,5237425518,3817739412,1888358697,4253572169,340818488,1538460732,324525806,825375125,152601597,4732846314,592932108,999155269,458180670,7405747344,1206298530,5686884222,1844405664,613844781,5557910400,465530511,923817432,5886653391,400757871,4690377495,6887345185,1684619140,2599050258,4056805593,8362954917,377267545,5068804349,896114495,4373797806,1357599738,3997026072,3236616304,5729036280,2133472920,4101549745,3968257494,1507560177,57006247,1580864840,158541278,1019123312,2452117269,3267972070,1969655020,1404115911,5185702206,2472007565,2580588159,4455559500,2734409085,412265293,695339677,3414381340,1537806174,776278635,84219362,1251927928,3447753008,1084193888,348505213,30746784,6976603557,890308872,6617776809,2770052800,1959582620,1635094412,1437014176,890320296,3448035948,1601667858,7824092238,2167398387,493459449,464910588,1680936720,1419359316,4032890035,103583754,2425419510,1823248179,672804013,41584277,61337187,3540762939,2759438016,2883588532,2653428232,1301101316,1209873222,1300251776,2623396993,7001920044,129345755,2631086235,1063709882,6219132920,7059557628,4661248656,3024849155,376250413,3828535518,1022761868,4018728504,3171268832,1907474908,1988686329,5290441112,5273730832,1117679408,589567652,761073260,2674698147,2137682696,301129638,2730484616,7897722176,187097754,970662556,1892632326,1032793772,5882363784,3667294314,485479092,3795749420,2077703820,2674381983,4902790067,225494896,360089367,1259471802,2549094300,1721532864,2277622520,1019298636,6425798352,428085945,4226632500,2605008490,1588585076,1127852616,4748892032,2569328799,3995135976,430346141,5340203622,4811558994,1704707178,1799098516,333300071,6716402035,1002192230,4862977816,364001874,2366335810,3068345700,313028480,327180520,1364326144,1407559962,1795968333,4735313070,3686929068,720083296,8683761447,4139991455,440850238,4540152176,136087112,6471277857,2013359772,404420498,113068096,683468158,1663649544,2765351514,466113517,3918276056,6512759172,3047633808,714565344,5383182708,486442677,439997430,6792865164,154946464,1151361156,1199621650,517232175,467164044,688109146,3605736448,6760058391,778500580,4092013287,1796042990,1439085699,187645092,4053727587,1721211036,335649990,2736676175,945222309,155686236,2070356595,4483242666,1405203072,339583384,1693053762,1846224118,3420930205,30096844,6101776176,3330603664,1540380052,916064086,410082127,3749562464,1600022316,4605633066,1058150314,818983479,771175720,3347070552,4347167571,103034133,1112102,4727559600,6244309477,321193458,732237032,220215919,7455897171,8807795586,994003925,6977391232,753085521,3884598735,1010201421,6069151354,1304915584,3616821165,1171588380,2144347936,6801299764,80587308,474798640,709496010,5062046157,43369952,1905704790,3766907200,2534779984,389708206,810676445,5344728846,4388774050,2539722536,1714724430,4790220972,1644255942,818903323,2358386924,3523482760,5851144035,2113372264,687203253,5797198001,578390671,395531710,1676175075,861495150,5235405798,3672014528,4159243080,2459246715,3433493128,2789830395,4246003285,1833233031,2149403724,693148111,4829419044,2896519145,688995399,112397935,780978369,4066654552,1992205820,5371424652,2366175402,1282897764,1027498720,953946420,367201494,1911088413,1744509520,553934860,1277252898,732227691,114107355,955024220,483374952,4471304238,2183813628,299770120,1159480404,2082718629,1303672452,121389933,251382518,2615844999,743500650,667623072,533354970,1882988940,1967603808,713198238,2700844848,8303183658,803327365,286150484,54648786,4030817427,3325996876,1860963720,1893276711,1511830945,3891714752,4523121534,4622320746,559863056,6114332277,1876692464,2531535624,2101412355,569601820,3113689950,5596549518,2796012020,413412656,1951175532,266294953,4513005434,2964771201,3477667104,17491576,4064860908,2366890832,679478381,4878401464,2767300098,1498240110,885068150,376904244,669702668,462111010,4052398632,614139444,3509320899,1836198441,1617768472,2406702840,602248580,4721499940,1756222346,2205316422,308405528,616404600,5755751113,6348442680,284708840,2861736584,1672836748,909679705,132193662,812091972,5399368299,2088525003,3320573116,151470160,2008195992,1263688326,930133641,1871760176,7163843373,290304504,835626590,5874994816,2595874016,1429232540,505495395,5300695064,2518248060,4311354904,2308081050,2759332807,6910195590,3517572670,1922508692,2968749095,1114231244,3027426476,128005839,1431458264,366420417,4185678294,3400089252,6150403408,741132646,259569184,117230150,2881490868,8578412730,649649615,451234036,1352232165,3776843312,57430350,1698681384,2102563715,2005464936,3144864496,1747039503,968894024,3351354546,1637889849,398599966,68478840,1399003160,1172690264,2450701660,749014854,667022058,1808778370,4506247291,363706182,4244036904,1233234365,1813790824,2917163772,2560590384,7736504760,367004124,4404663620,3088369170,1237341033,693916526,1251358083,7626522040,664748310,1479561756,1402302776,777965281,1394594824,2931497253,3565380605,1071331840,2679733552,2066084480,616394881,92318643,4380822546,2035284370,1048134494,902665526,5770240680,7991252224,931817145,981141116,709247105,2472339835,285620829,2730156273,835494264,639293185,1444878108,3625555325,42067375,357032168,7519461984,1546407228,3636696054,2534835230,514629495,8221423914,2848053724,1924643976,636604578,273135474,4963772043,676817453,6545303460,56987125,461575978,4812455925,666605692,946797480,1144563144,4609410384,1710260397,4716275112,1967856208,6480046867,900747731,214760977,2045072248,6227787150,4103114820,5913963752,2309489272,4916487948,6512322376,519866073,1526490950,31843105,1203899466,1528430010,480604827,1490253522,5999490912,1035965181,3653821045,5426613360,2316325245,5792222088,7018426692,702336192,2809510881,3682227178,3116124372,4161361257,5341931289,5178513825,364951596,2909373480,2872312448,587349683,80613170,2155256577,6179864096,705860340,485930089,3686865579,694482304,5232846003,498696815,528873216,979637987,30331362,628699490,64035530,1789659800,4726178010,4659387465,4548284775,690113382,2516032008,4986615440,1547540216,106291736,649727001,981741909,2621238120,634308841,5558977620,5106021263,1296296862,1391196068,7619364448,1867117812,1434872775,2678801412,141791358,5164445439,791321547,4630151659,132255737,7338101112,2325080367,553437816,1430500208,1603010248,4402532915,2138164968,2351608758,847416286,4202722525,2425065475,7208141304,465561376,3007784570,3122690920,105410190,4250562696,2352733052,4261302590,962577850,1276233822,857358018,4559293566,578123418,2407712763,6878675800,1449374314,1404871402,1238529936,1471481606,1306448714,5672558142,4589034394,2935866840,100417313,5062246595,139833678,1452626160,1261247064,3286809340,4603499388,786391911,55745896,196311440,1246955956,1190364526,570127036,1461955293,7400828673,548872605,3182863370,511328052,1895393864,3865537780,1995853254,217390680,3386058318,1013216036,4100653092,278175814,2892826833,643025632,1639278996,1318714530,687675294,1197492296,6849368028,3322786992,571926144,798184827,2300233620,1996725070,1436822370,1914002782,1097993974,7477182738,1754980563,1085097384,1405254432,796497269,4095163936,116577101,1416926318,2727322764,883826836,1156571946,6919823916,5725984512,1809348036,1067881959,4467503488,1410736971,354196256,4550465094,7635237616,732350921,2911616934,3247203300,556848724,1910602382,538492692,2541968370,3065067532,334902613,295897105,2140176290,2602033966,2740876131,207227768,913001262,4691695740,4564386063,1280538681,140768370,3510034965,6615417213,1107576816,818060084,6653099456,5627717532,3461552577,1558432864,840203415,396216657,302724410,2926414629,1150641944,920143845,992552465,3790263700,2524759506,3108382380,1641729772,1700452320,772014504,1594725572,83604723,7997906187,2008519212,470562024,3922574705,4387498644,5208263662,2938144842,2480718420,5792644018,14231967,3453294628,6704283761,1264649630,279534700,3009901410,3079319700,815933216,3153375666,5086406430,2101899453,4433347552,275786210,186681592,3534095826,7247786499,2937704910,7846057872,160409393,1338964116,5715635752,6008754915,871633719,2336373018,2148341308,4443503505,1445164884,4598088255,2548039566,1205136303,1505253648,300245824,150525075,823908678,1599484626,1843037912,1980119154,3607597084,3708943578,341894472,651339748,350514107,658913220,740523132,2573083671,782224380,3471314085,956291342,126166840,413318070,3954969005,8874387378,6376795572,757691876,569294074,720346232,8064282132,3163366865,6558297326,2318827929,1876505766,3430175840,1803879710,1915989898,7663223320,5037789294,715638243,8032418784,2866883832,803159055,685068258,4652853632,7099213689,1712874160,6153949515,1175925392,132023544,1746924105,1382470324,284193976,1373748694,153055200,212599830,8407060119,3044997137,3516155916,2906204950,6400403181,1466181462,4999230720,4985061730,3064542110,4681463085,86576879,581063796,1300389412,872096292,885861334,8503019703,3597384836,4689279738,874409136,577149423,5009607018,2687570415,72139968,1948728900,2218271154,6467490505,3046197189,2142690207,2107412780,771062877,5320507638,940332225,243927600,261320231,2801502250,740644212,2652543912,1799918122,938760826,2553417144,8451458721,5905421501,24558503,5084035068,4288473621,608211126,418730392,394458192,2157841015,3762307410,6378558564,969085880,1178521506,401292642,960394026,645913863,94694346,407069413,4136729679,2225523704,6344135720,5167896876,1344974832,7902718299,3048377272,1524005378,4039439089,618521502,3536404650,1946467884,2578523745,460526046,899576480,6472294304,1328826400,1222332115,1485765552,4997510890,3951371365,3401582912,647154064,1269940360,3966332310,1328006020,986680158,5867682254,178841728,356264977,796495747,3725087804,5218246664,797554832,4478058666,411674940,538354008,2181850202,1221392432,1492979936,6840271755,583959464,514794758,773228608,1046934664,179572728,7092346878,3673996740,1478905070,5592541608,2548427938,725277978,1199013556,3846916360,593727257,690015713,4910168016,236727318,60124644,188901342,4772676222,2249540496,3487872888,2698739739,1396831814,3209490977,2845316892,592383664,1949353416,2308407138,467523516,1700811372,1504227940,1861719285,1508933382,3695615289,3754970460,8222457276,2589669222,1377200142,1698537207,2690953704,771408926,3307108060,5866913241,3392932176,1204972960,1725109300,1808981448,2240267070,1296144138,1413753104,3582384358,540318472,2386394634,5894318717,4512749202,4986727580,3455978864,2447378946,50876482,83775513,1198143668,961270008,3482403100,3561121791,1537398298,99999765,372905492,1244974710,2087352096,641647705,3902718796,3422588508,1818572334,3997511252,401481396,53637940,1698561072,781632903,2772643338,2549005671,2174850474,1362778965,410864028,721165556,1581582448,2780671000,564489706,1376283460,5100701606,1228743808,3097072345,1992508882,2395263372,4611695545,800668745,1351766736,792014340,13981914,593995211,338587938,3173433798,5978047280,361308942,5804048871,5565375011,6624613224,103054500,1261006674,5396067846,5112124281,4681837662,1112018944,1156638582,655890526,530573334,1203744654,7368112197,310340903,6069551256,595397441,595500286,854808923,778749857,1520967096,1946848050,6066407319,4028485998,3218265342,6181871269,5634313685,446575795,2960444344,2786210085,3864475256,1351652540,1620224082,127873076,467092233,1750516518,1964466644,8944822305,1200740278,5702393272,1934650024,863132080,357003752,6447145292,6404912304,648665454,8408124702,2435430114,2050725822,3395053592,1762192290,6810097936,4519686564,4499033485,4043874954,4067142396,3246359348,6097041368,3715419116,262232969,3263653161,302687287,234072632,4090534068,3558129600,7637364045,4212741666,571564710,81624270,663898574,3978867340,3007671092,468889772,3633994160,3688249908,849370150,1552622544,4472444352,3016014792,5690718922,4999103160,28158403,5092564253,1925228382,75648036,1087014984,4517784032,3390057363,3878301536,4062126042,4255701112,1693215648,5691679536,728540170,6484782656,565697898,6767046720,2565027704,3341586224,1319613262,871580313,1758253224,8917218990,4583680638,671960728,2027051982,3996740235,5765950476,2442778818,1010325880,1216826988,189127321,2595636476,46708002,4035875742,173216292,2533053159,868894373,5141389848,3643542095,1021906270,177372536,4156047762,1352316132,3839272590,4384025320,2439629400,5729945808,6849019107,6790665329,62458543,725663197,137498540,702064860,2983436394,1644111060,761728802,3074610060,2062306225,2668660572,4613019546,1128114464,4188364950,1470767208,4922301240,1534703052,3981372632,857211255,1618420265,1784684154,24381952,774764592,96688270,1113179395,3179456116,4035786237,1062689256,3533477928,3902774120,5320876518,6383243426,532450986,1759323848,2993552367,4511766177,3049700292,3377562354,3300088248,1400736000,1774873887,6425794571,368426511,565328533,89817714,4759913956,780866501,499387668,2651913441,7370757016,4651776234,1066867666,830360750,1460474424,4162729878,2890101135,879148715,4553789142,234609792,4080959664,3932876400,4152979852,2207469772,2964557659,2905486986,506139075,1793670412,2998425822,2754113824,216985074,7528274720,4412741410,768851021,1245534948,1540871100,7153569216,1809309324,560300536,7636685416,744170073,26771670,1150604064,3519950481,3594168400,978923802,2148896212,2276585598,2213874849,2067510440,3301741932,1314753230,2613071734,250268478,584073492,2855110974,2461814537,476499080,388804624,5285416527,179939460,4011349783,501590240,1817463972,2206129924,310497292,1964520498,439375459,3012807840,4598047989,3598076600,4373036975,680114964,1432171628,3794749704,345431302,1084298005,704104179,2634057096,1118445328,662822645,3380872056,1136149038,8508204009,1273854792,2825688483,687543924,546261140,6062213712,523344124,3354644210,995967074,1062536948,2563872085,890683042,2034487620,1470788204,6610492959,227663755,558454586,688942300,1585249074,1289002393,1633187225,2873474733,3512916216,509510568,3834720534,7765321200,3552694572,3491477480,176373198,2505957267,8923194711,4107090905,347787431,2936659156,2130620472,5236686207,609448707,7348570335,1440630315,2629632462,1547447178,3504498340,1407779648,3108890036,252641641,1053383401,2130510150,1460656184,2083666912,5034148854,4173146054,925158684,1781737724,4893280212,801744372,189830053,1655489750,1408276256,5545070616,607923036,396062535,543967265,1229168871,1089353268,1167647926,336068005,689816690,2153168288,986732312,3717200616,4061256342,3678757040,620969222,5032859006,7153134744,2264347902,7848833850,1188849024,513069480,686932889,2538282125,1983288335,590625693,1496085704,911587086,2925232555,4811675705,1378497708,1522602980,5499604048,3624392565,76752360,786500512,438005132,6961783365,1958334723,2668340740,362897509,3846657420,910478078,599734631,5160085040,515605246,1205177346,542557683,521036715,3939901280,506607887,7171438707,984269880,487229135,1559348584,521644376,680407689,1923182255,1236751880,1313064534,3132777055,1429214560,4669540040,2643173900,3498215904,3337198740,2019890056,872352435,1041018671,580949736,4138310105,2637580560,4226066775,399097512,2412617512,5750751006,2359786192,4348688859,1884455712,20382345,223801472,3023713068,4884482660,950693949,398769825,239467017,1897273662,2854812560,630918492,758355093,1414193496,4474157508,24244168,1967071692,409093880,94697013,310606473,548489619,5232411474,7218663264,737694664,503276046,883188596,1799512546,177747860,2385602471,7165255932,5145111704,712469350,416937150,3020622305,16823685,2659006935,821318692,5199624178,6591408664,65339586,416941377,173968865,3819846788,863190314,4530951785,4258097344,412587442,3400208136,3822921193,2343174438,7969370049,1642207160,92192703,1036252952,58911944,2584890889,3860776804,2110605855,1364638144,5098680504,4618114645,2835009793,5668747805,4936973944,2598115164,509570950,1484907410,1650573328,5587983448,6166040940,564100126,1110451024,3933037230,8391956202,2295848664,2852557386,484800543,8387164728,4692743783,2409907940,1124415776,2722093032,675662822,886601138,1997446914,2693724312,6929042260,442639884,2494918236,1999834220,1343908740,788335080,6066095287,3826630638,142718064,2912038320,1589149184,2202021812,6984122958,150812065,5829339900,1003916920,555273564,1597530290,62245408,551052736,4528938411,5288778396,1724697486,2885308179,1163803156,1716732894,991588239,922910544,936578650,4628211504,2399866893,3160018539,7102955817,251646272,7102075149,950124870,900429576,868225416,1133957502,129690609,5524496536,1046259342,2194997588,271242604,1598267990,4671371568,7271359,4689043700,4037633925,305708345,452934007,5294951942,3649275545,1032179124,5515962618,4230799470,342999970,419963764,5591030700,3247536370,3855574570,281683240,2500894374,2855427650,3470390110,364064758,787378934,4567123685,2724563144,2036108376,3617776602,4942960500,242469140,3156688825,317648058,3078574280,2411303636,926053744,4073974984,941133196,932028345,110121160,3563180610,3541976556,5242707366,6878618663,2082028146,6927883587,3141272502,3804868865,1815658725,778695316,7832038,1951231592,2597620959,4202675250,412476576,4505885904,1740153831,3229272342,197640792,2803870,817285872,2674965450,76218261,8289713016,3326505930,619718260,190533795,872878636,641794672,3644457512,4945726536,3828487372,1713436374,3420555846,4122342728,2709179824,3473264428,2349393207,564452580,4249640130,2592229158,884180700,7225111760,2198347002,121025184,5903941338,1022668164,2411535072,3230205237,905196270,5573796822,971267289,1567793978,473067410,2688140124,3020024518,157111491,1702199390,329002180,1952472312,6305305140,186942756,1304809716,4392675384,701730782,5981904614,115491410,486659128,948645945,1512945645,4502605074,7357807720,1145183823,3914624624,136887297,375383037,1722180774,814815106,3645888276,271861304,6122779376,743243168,4600024936,2150527477,5137476579,4008816544,1299690174,6539611416,593633079,7133333952,248414256,4813138309,209592240,1427559116,189229188,62586666,1492729038,2055747730,3178089234,5234075082,2583393534,1721015310,988053852,309032964,2881123510,4369870287,6165365984,964653172,540042155,892651791,3802818132,761969315,157017050,3553973577,139402647,1002303043,7597659088,3967153284,441138096,795045909,55799694,2831064702,8993299833,6044966732,531395538,1388732136,1221042584,4694269293,2866503136,3361218588,1115081757,3340403094,4471239280,162894312,694457094,2102688784,732177616,3020726176,1714571073,6315751304,904232008,1656527803,4035024460,3942194760,1547575605,4613106020,868353552,431297016,7244096256,5213850068,6842328030,1936947089,1941864337,2272224076,823091952,5526247518,5892048190,2072575728,1589695037,212693128,7919447496,944200334,115345188,1946061134,5731160448,5556174552,1560993280,7822940016,396392596,5117648679,3117410984,4050168245,1303780083,2489156828,654202640,1993685034,1123090632,1649927739,3925271736,2993943504,1759195080,2140577328,659010437,5050905104,4624810064,1569013982,1834580034,6626428578,398156335,4588381225,2853214452,3648100690,1197579338,1922170838,6759926415,3743872896,5747732032,3725829872,5689654173,6268759011,91373514,70536591,3382004540,3066966640,3695577678,493790568,3474788226,1537418202,1138802155,2298404704,949130712,2399456484,585059810,1316288938,692708244,1204863939,221877950,3600187544,5364021110,1897267842,4584657408,112055616,5955847209,698700075,1666278908,848432274,3318391993,2329852892,5110514712,3052665688,599158297,4250098200,4876164656,2942603976,1742234245,4766505552,3762906390,6941965419,2076285155,1397089296,187240998,1754535090,3825952420,3473587536,3749670606,3103776640,2220083196,1418087430,3372820722,1343446908,1511193129,413988985,1726369917,372244150,4217113504,6263540857,1106370704,2611862430,1372759294,6660485280,786568974,1361602686,1834796484,2250273162,827023458,4604106400,4081006735,1697226624,1681449712,1874034864,1736572328,3955597920,3404259846,342502950,5571879342,2540462225,230085195,3597657504,1070787543,5294824191,3455436912,2751315639,2463866172,1581660162,5295855544,593262805,313333732,3845008812,822167724,7974697185,5242274528,825672057,2302224591,718528654,4428627686,3071391655,4301359587,3174494845,3527436312,3691354256,7698680936,1503285807,741657007,465140770,1800935216,915441878,4894065522,70657698,965133271,1534446678,2560514034,1487241536,1356740154,4631462568,4479840564,508163640,1842644520,275326974,616624935,3182059056,4488032512,54224716,656529837,4198454300,604964284,3720404745,3304692040,2406901216,807268962,1178484368,2734001967,1105564138,629389616,3979957856,1853728540,1070065368,4584282848,211690836,647832048,3287025500,173486265,6801310747,7393971663,2275973492,3313895031,3171452748,7943737617,3952939004,4510549320,8755135614,2412956853,193758441,1760141043,73322610,2759480451,2000125575,3911776616,3126091068,5826039777,1396629010,5685826528,3652372129,4812316818,65687223,3696192952,1149911044,968862368,5237449707,230780836,2521162357,565216607,2365806308,1302748436,3721431680,352682576,103095516,496023995,749676735,4593204580,500684716,5226938780,4065647250,2426495367,7992012040,496053112,392925066,1212752900,4252010730,697293058,1107685276,3712710925,591161670,1319012555,4491554536,479396766,715248393,4057117856,898756806,292184892,509890176,1762737875,2230751040,1463261863,1742116128,3730942888,5824253064,7769822967,1737464964,2266861124,2659103944,2100000249,604879830,7095655431,1077246430,989236428,5399555850,4539066245,847572148,950472700,930924003,1110077853,5944876133,1701021840,335288600,2034136368,849711936,1323020190,2989740492,33479090,1046626062,3798551376,2941413440,1508958888,6263096210,384569475,242919132,409339938,7112530912,379937754,804118948,1345083921,3751767605,472046675,860247805,356316174,3442329207,246602209,1502262418,7862023104,352808481,2687793582,5848016463,1430953296,425229504,2071168808,1654419483,353912721,197925693,3198303387,3864647264,4728985850,3717277912,3066075456,2738122800,5240583174,7020427698,6731813970,939788760,1125735636,1839694000,3888389415,5577226218,160748364,1109156786,4952944400,3966495825,6052638018,82722708,913766714,1157003888,2251794075,538875844,3917960472,1220666322,3868348932,460855818,615387754,614280006,7437249568,1250634896,1644899620,5882167914,8109701514,2410522293,1286384945,1313760237,7277811444,2450983779,8863494039,2869633256,403921190,5641004936,6725442024,1483312638,1383050208,547374496,4492655165,970718815,6737929848,667331358,264294400,3393188400,7463008472,3477063492,6384642432,2212298526,3419495972,1416881572,7589770542,6767084331,393794464,2210134428,2156227192,996811013,964770784,8839486296,6572841016,1676929566,566987646,2842114408,704562242,4452203185,2652297567,2045673153,137790945,624935067,3561906264,1543900374,3664925660,888762991,2005156664,2241964638,4826559288,640632940,3094798872,2621883378,579137118,1083122992,7439737080,694036441,613654040,2930847900,768965275,7262121080,857564682,2979408198,600702357,4880734020,6706908558,32925590,205239340,2836593160,2982551504,707654076,1293876495,2823359541,3626857614,3228081480,2668078056,3673755860,2068236612,1727560225,102797495,4285380672,450425500,1426219484,387417214,5899823895,1294594520,1903570578,789793190,685317577,1124532684,174156140,1815659924,7816261086,13363598,7577483922,3518951368,1930990062,1020304220,1120562190,1190832440,1579001470,3115075164,2985695140,3638839072,1118601632,200619202,3664926788,2775922856,223708331,3322338201,2036239998,3008711322,5809323780,620506346,2525470092,173876542,2855956764,2132579200,6205654376,1088847466,497708415,8767120743,5494108722,1551665094,251184265,6038685107,3028233300,2311146636,5843217636,5608583631,1122890464,2449202044,2662879300,954399616,4133169344,1239939498,67576200,1363886370,884465145,4529255076,1023886365,6294107576,7631507187,1983720465,1990438812,6693618435,1957936183,3582046461,331606052,1741290351,6189344216,3335827873,682384954,2233884344,2004411656,3873589494,4636585058,1498092080,2859509415,127509600,557938740,250249405,2497132044,95017580,100593472,509554335,494162628,4828862898,2744717517,693877048,6588928539,541400310,22183947,1883772060,3681758654,678427261,369079703,4429868868,1725737415,1746847356,4960003986,5302361832,1257179416,1257781434,4830682155,688068416,5484997506,103991899,7011736776,7261318480,2925050376,2484069116,1655476353,4317524982,4833684520,3725852824,2170434124,517900104,4070642863,2293707840,5968196022,7475864445,1426870524,1428354070,1636612374,793645337,3083091200,7981957880,2398550450,1141542474,763346961,309317772,4693338498,34065244,704765820,2134997110,2105149500,3676790520,134019683,2021579460,3059511600,1489707304,5694264624,7565804504,2263799832,4997264814,5207979270,435546656,2124055220,2274468696,6627654887,226610946,2654677923,2261203809,1536810606,341515005,4931642274,1661378744,932856474,1517144040,1757510685,4056201552,2034142404,1989288847,235142071,668403565,1673889171,3723380300,1224780132,6326589544,620270720,3025265465,859823974,2939963661,1421791082,1700908762,1717216416,1524724648,5453536448,1187145350,177814410,5633141680,1581999140,400005081,1164683478,1080581656,3386423430,113359800,5674054589,632840538,56390808,778982701,4309562216,4007282664,6903197273,277095663,1135443622,1492263560,311139051,2635815312,3474986528,233904912,431642190,3551038584,3133473882,705301732,6985599066,6447991656,607341675,684327420,1927029980,7226795312,1819463802,2414067426,6426928880,382081119,5945113806,8963595819,556119930,5362696816,1608442524,3471281448,116560500,1011303734,536353914,5437645245,6131132696,3413718963,2152427235,1138545638,425478800,1899372870,1304778920,2092574029,4878606744,2729085831,95744837,6347047189,610134810,17389679,1540494864,223745850,2296740920,670473637,1666096320,844941615,925408722,2386061228,1084265960,615300397,1609653275,2395645670,2640814008,5591136780,661312967,587285451,1867692879,294569724,579197053,1534243872,1419420776,2447312877,4933522776,1227637530,1271875052,2044434565,764156892,2760340869,6201487719,5304517122,2576461932,3800826284,1414970748,6924195888,8378860500,880348841,31218021,1595229316,6967584806,198544715,5117173758,5149765932,1676520717,3002453944,1548605364,5821167752,951904770,2767209084,2349744216,6581991474,438416736,1950402216,5529339522,252203376,1716373752,1180531800,2850986706,5556195064,7859693672,6970150000,961695258,1524118888,7261627293,1411021731,3359926165,113624820,4120626366,2216346528,1093564978,426650863,1231926798,540135000,46836043,4129757340,1905629264,2091341604,341455152,1693612728,1416961774,116318054,2437045560,1520607504,3092809884,2360614815,3505354888,996317493,472970274,429040981,2469413032,1326091544,3495806598,8964133074,160358160,1648101993,2285980676,865663776,3573194235,4165829283,6572913130,463172120,2971846168,122043152,4986430884,494232184,1894546528,4056184330,2498019545,1755385044,216040872,756243816,364859920,247406308,319359796,644760699,3342612628,306128504,1987528040,341680402,600413865,522642866,621484891,1594568858,296070884,2979673473,1438497,1963645173,5880502251,5288506254,824420001,4691760516,1232613506,885668018,1359350515,1212599768,2131496904,5596286760,361332116,1866967776,2246272856,436096533,230337478,123972933,3717752576,2188337165,2678343765,1621694127,3401788248,128708737,7807387744,671048157,178371232,3611345705,1173021592,182540295,1573326016,933037806,1146560416,1600044394,5249117055,3083168635,1442113350,1017937156,2174735190,8952890166,2482818903,406987948,451803766,1587754950,2918637252,900738509,3744862065,1158070624,988898308,7074395550,1758452826,1301689344,164126036,6723199616,379875758,4325415324,1170538995,2292129096,1805270206,1911197918,1995760778,2690961120,4374170375,460521022,3456089070,99312188,904512038,557017520,7342643727,1143208668,701990569,3420988525,1959127023,6681218845,2489795598,970781897,653685489,1345778352,727292400,6260214079,154309069,2457081824,4453433250,158649035,4036286040,211229822,436926192,201078116,4282355916,4207756890,1910351997,7969289175,4591855584,854671002,3204500208,1959243820,3487888872,467373886,1450380568,1614535386,2490216036,1855051762,2987715801,2618330295,2499604868,541154991,1759668712,411416806,322670448,1759822035,5736822480,934815432,4689888632,1320841732,1342734449,3400373932,5859383943,1235451855,3507439110,4646932144,324581715,2128931112,436873416,4765912932,3829792918,2623365447,1855627220,5036353134,192977378,473483268,487835976,934533705,3631549572,301081305,3903854840,1798164072,5181557856,2698952557,2026067071,2942071842,3033867668,3691020552,1512869553,1281013560,1990025802,3516231632,2479205553,2042122676,972887813,6068528904,920918691,52471700,843861166,422477784,132446970,1883503800,4964511429,7891042808,2268795160,2376610460,1273121032,818044742,2747606064,3312952310,6733728396,74158130,2346182245,2070833820,1797985300,2518884992,8491656960,242734766,255168085,4640712282,499033640,2176715925,280178684,5779912784,99980429,1860486340,5107243664,4145236659,282005700,1807998384,206898716,2853398388,1980180670,3006816869,1482407736,4794470975,2876828065,5122783485,82328740,3240214962,2042478006,713130120,924788798,1403259900,485379370,60219084,3559170965,6426602469,35730755,394039992,2102742916,2266007301,1384541604,4701370200,6375373571,7723093257,1593512816,7172947088,2397518808,410674250,3091621800,469980504,5833252917,921995871,4948642713,861118508,2799833559,23753034,179241264,3841083804,2076534644,3875995470,4241943040,6925244616,688312980,541332560,1777399388,102260416,3423872064,5987223641,1532978790,4540485845,2649628194,214703959,928230516,2813416496,2230032182,514742868,4019576,5436210864,875625105,6193828424,2715050947,604223440,4307385630,145342088,1525580157,1521764002,657934119,1794185586,1137022828,433639532,3139876950,5252032192,1625333410,1108798137,406535624,4106072460,649766748,863377152,3918770208,493928449,5867232210,2600038866,6141978488,363837912,1299891030,217708385,163776775,651086690,450739364,6222624604,3967348384,564847785,3923584500,2748879456,411817564,3559944744,3045172319,2170162080,686618828,2215355232,515207204,6822215743,2503275453,1400982665,3661216496,643829928,334218555,7747446690,6481163731,3733983404,2181429748,817544167,7638148264,537095774,1980176,7035055968,1272578961,3239485420,262497451,416313792,1033403476,2714084954,4602039318,4157714152,2284237890,1346795368,1087658283,2145453500,3590588912,3309624514,2482392200,967166858,4589077455,698798532,1158322916,2750969508,1645210372,3207726291,994462044,478499825,5047956585,2060794930,724258000,393772100,175176515,873762496,1566033345,1527706876,1958316384,57502438,1578547920,2226753840,4784440760,258311942,3514653774,1789982520,3313597635,814105224,460736192,5328971072,2561551088,2178900028,208529392,256391750,5296036004,1665374535,850409907,498995030,2661849005,920869863,634037058,6809863437,5242585668,56487945,3533085252,2821380344,243302568,132547450,2062628420,871511886,2115953976,4366724957,631967496,1250913135,1950683052,3907632956,1603084680,2289220266,2746829667,1147646961,30469924,6154293784,987454090,1346403696,490547540,5867050806,1927163652,5914112337,2990436340,1958926254,1369474028,2994912984,2644917144,473120136,879608464,4270995090,3555804342,4133610864,1137959122,272922104,1982781642,1230760952,720137713,1225891644,2099764386,337805490,1591095328,1148355081,3640687072,6023037632,2510529396,3095160663,815884338,5085448296,1662946128,2079699339,3678667614,710602985,391420116,537298731,903309090,2831657704,1536611310,2424820668,971445120,296975511,4240467770,2470195560,3917993304,1959116148,1763329644,2211814688,4439912640,791487468,1870475824,12313194,1764343701,620863431,705674118,49756305,206602512,787628684,2083888344,2259491884,267587275,3274333044,2056826848,2889814995,4973046990,3572540368,5608518864,6217213842,5911633710,516892035,1207118232,3550100180,1515459810,2229811548,3312457074,2108369895,5157519732,84069555,1105812714,7193348262,925117592,2493076968,4062304056,5793773352,818731006,5078904924,1747377664,4324217574,96681274,41869748,2402483272,3327988040,2190931920,1827005180,2604975171,1295223832,646455561,3858591990,4174404112,5131173576,597708048,3655267968,6959209284,2633353206,4917469648,3996219475,1063987780,1785882696,748839933,1019446740,3690678930,3539317856,2049430056,107974377,1983798928,106280142,5289706719,7408130032,2723846550,2935985040,4828354165,1218016552,2912970616,889172419,4476643285,1189730679,3871195125,159672695,1237322712,1659890970,224638811,105400239,1719415782,3585985132,8319633678,1463291072,263724644,2629616365,2066471385,1644761664,891153028,875857480,663363598,6965565426,3768962370,826796340,6230637238,1438902298,19295457,6465266154,3895498895,2380424244,1245475399,1725487771,2263911654,1273070120,3211179016,2798668104,4498541896,989449680,3870269505,3485698436,2010793587,1623531081,231320046,2673424965,804907248,544054293,418032774,826335000,7539635976,1789359867,4347921732,930956360,639211802,805471337,410091353,1716647344,3275519884,884455753,5013477108,3877676552,7851548336,1366400568,786567106,2848118202,1762921740,750296984,678763656,7298358416,6978095328,3083362996,519520316,1398418652,2726500158,6146404578,1303014986,280121122,1085586368,2063849598,645680144,320324411,1897578972,1688970808,4341833960,680243508,3816940799,5731706475,2189703045,2890369320,1257874540,1811525260,718672575,2853586360,1442176141,1503771939,4720239432,584013672,6846209184,4106138080,2684612332,708308770,5779867695,2844866994,3636563772,390334411,1516853996,495911016,998499979,5806150353,3040883480,376032854,722563464,7930958560,1050745074,3362514528,5516822871,1241150397,1459424806,5079637040,3284894376,3062832283,1544030844,1407239216,1604432943,4445407218,2347326324,2826890824,620658524,116439258,3051448320,1243179335,287725022,247305418,890556381,1987661966,1653935985,5641461304,3052032928,6218449398,1699539365,1665545472,1888536764,1879273872,2993053224,393117764,694409514,3349878768,5907752388,1908012122,87896608,86902480,3445361296,654685816,5749205517,5690862492,576154305,3150250168,5429339316,288536449,3261290850,1284401918,2861408454,6539465432,2110517890,777485736,3129905086,421157664,2428496208,1921411164,247841256,2998271421,2662230933,1848966600,881446818,5529797199,1101433137,3683331155,116114436,8811175563,134212023,2487156882,2488389252,2068769340,3259204715,1527993243,1605998634,840460889,3577511880,4196912056,7562235160,5193826536,1362367276,869078120,787041412,1490579685,1593726230,4069844322,593942768,2320167545,32696957,654814134,4275020580,860157676,1722668229,2437502295,949929728,382722795,5908186278,491307112,1102697082,1829069592,1866463658,3212170367,2233203117,4214993394,3975070936,4297365747,815284530,4881888696,1076422872,1566710868,450253909,1001808568,275482356,6665692352,841250584,474101439,4947569168,5049617232,5397753036,5987672010,67656732,1491049072,685276572,291460996,801409408,745703906,546259856,4779191450,2171300013,2779944832,2490679500,1986495306,3339823092,33882881,1657019708,2861979120,1660424515,1599954565,2056519386,369493260,7795058922,3035829540,2935626530,6768467300,2608679770,445539139,1242278514,354486235,2364970090,4790426564,1584891010,1820441721,3010356232,2556146376,1812335882,5243132574,839858316,5338300482,57313305,1169343864,5400732720,575990598,4560922247,671387664,2891263782,6967770948,241319940,762353918,1237131639,1587339586,820856970,2034112380,7478819559,29004904,604899518,210691044,523417764,5453543568,2282004468,1866459303,438720942,2155742502,3194571864,1749533926,1337228958,584010824,2093656674,127495614,508604773,2234355348,1504289512,182672090,1623691314,1039595688,5004570393,1198542166,939504460,1395922998,3412916720,2183672286,724192209,459458784,745131279,2395156893,5149485972,3064228175,348846292,1383516134,331579284,9330326,1163806026,2175739979,4001544375,1845688563,1369317549,2626416798,407625666,888852000,179655553,35238005,76712908,2408352120,3022488640,1514859600,615159784,5387525235,821311956,8184596328,2616380400,239344854,391732006,4135791222,1154848272,1819137240,8524043784,3525636296,784364376,703561766,5387227704,2578946883,6620104832,3846979632,1173497511,2762707965,5691907359,1755946456,534075978,463012492,2171976696,938863520,860743128,2587257368,89711844,7568361384,6828907099,600088328,1130379200,376922480,3753398348,2557161015,433172310,60671115,1917564030,2490166924,3809488968,49211024,474179517,968913347,5857608366,7474591552,2413334596,6418206488,3255491544,6565852200,1769209077,1557071202,316403093,6880524464,313188917,2730362110,8505652014,2710445770,4710705391,5581725272,67600516,695433474,5576733029,693813528,698132940,1323715176,365254300,860124423,342814098,1438883181,401081838,4068138352,156827294,1579171419,5448480232,4976228565,813851543,4673093292,1886737540,1878714882,58755637,3588017728,5951351992,1297536720,160280744,3471993261,3634699649,913546971,893338998,2535636063,3445451632,5180804600,3812056992,2762319612,4407524892,968379084,3036835403,168811428,1354856226,2058150150,2925610944,563803362,2310701045,6720683904,1245781004,574762616,1335543750,1607427854,413549742,6583501224,7139082105,369198987,185337012,3202339581,1007986294,7573451796,2988166428,1052123296,5158870668,3206510296,5025589156,5553263184,150216092,28902254,2383732044,379929771,873167029,3385277577,937803872,5704592202,2913738368,896123394,845939432,665570139,8479967229,8043906636,455524150,499118952,1671437106,3804766722,6495215944,27036660,1244102738,3666546000,6852350106,3653022680,3527429916,567514588,695377984,1519980282,6431770305,807475405,1986532282,4212157656,5893450640,1453396072,1482322278,8522845929,5197775004,8509814325,3685757474,461665896,6256796296,80156178,92068590,1878526380,5729512563,139622253,7887411144,2434720274,2277026622,5096752801,2086558160,689009544,7607553804,5103755796,2600715411,5687076664,2671166352,1608785708,933401914,765896353,1715567952,504706082,346614495,91383267,1638572868,1958037552,1537713520,2117621367,4797586528,1093774863,125606966,3128780641,7485357924,1984784876,1645610566,1028268068,148513563,915168816,535700696,6133791400,4159031488,215865824,2086744812,1271887695,3448133766,3529837735,4791078924,3513616337,942189534,613022823,2563177808,995514438,5588207366,5879970054,1714285336,3157523310,6233000814,906237255,606741006,2402938980,3641881896,218089017,2310547929,149078233,356874874,8064628254,1659189900,408943800,2744189199,2958616254,4190862746,14162900,2239972648,1734709320,6585722896,1330352632,4474563541,4254212892,1059859568,2840159396,1098734938,1444504464,1026909848,6835006400,2146193985,642221511,2758710736,6262204627,2332313202,1097559228,1251096204,4719455502,2247194172,2974673394,958127871,966754677,947542864,6569868,2506639071,1361706208,1103999298,4963805128,754403880,5954204940,2160967788,878242525,2638106037,1347383088,4562737544,2118778016,3690008804,2491522803,4576990059,1395289028,514960512,4767949494,822995876,1522004170,4029402015,1667526684,1008369362,2879767000,1881155172,2364524825,1340831295,3498942560,115114316,117715886,60316004,4626596220,734501652,624725019,2118769375,2743807119,1026639852,120593173,3638349099,21491764,692935631,36206814,7341148161,4225613340,5303885592,987925570,1013809986,1533283692,1084923924,316637238,6567574552,4408599390,218830584,7537353075,1919128176,3497896180,3608609040,3108702738,1374781405,301871232,516873077,968860458,1113943908,1213739778,1076719090,511032596,1467045903,3767614776,4594754322,5026507688,6148573158,3089032912,164466368,871644504,4055561475,1906458444,832114647,6774375685,1700073315,5455860366,886946828,5950696698,5156902359,7545037905,5160049538,2249420034,7009446618,1718559938,2714150820,6896111319,239069087,7130344904,411842450,157205910,3418258596,242591645,438540888,1036809808,1240084266,5517953308,4838307635,285100592,2435047893,1231721244,1618578884,5547328308,7886590245,1537763986,664700418,1384710192,5932068288,7212429603,3572220744,2838296656,6578183871,4021961556,2329290104,6786544374,4036327876,88997412,757777744,4434552080,1624011420,283241640,872601504,1975882002,3648235160,1700347965,1966127781,2363552784,271539379,360134176,780729347,306101896,2545962708,532524426,7763691357,317767680,1978626664,1036727220,1478707035,1423109038,3203334726,723655506,953884125,2976158673,794639808,2662598931,2826399024,1141880556,3069174808,8294903991,184361760,1416638515,841245671,2613796843,2058611793,719439285,6796683481,87840693,2223311604,7005954936,2152188147,38656842,5001107319,3854388306,5852829720,552795181,1952068833,62099779,2477792368,5623535064,8907892272,9234736,1411854712,1269263433,837809730,1660310328,2715034539,1320726900,6319226088,5526168744,3778888020,79721790,1736568065,4687552195,5351301851,1359501270,2568664238,4980495272,3946971980,830569406,220356798,4347565590,1954680300,162521349,2369675294,862872392,393781281,4561308995,462992761,3227579988,929576592,2922826095,1353896033,543300056,986362960,366889726,2937353757,4316472261,3047118486,692637992,230720525,1441707699,527669016,3428342656,26269385,867451265,2994668865,4997677928,4521387042,1146108315,27025254,1377602349,305414392,1784303409,741071239,4364244565,4658693940,6283537722,1430468682,1042681100,6992137642,2225491980,812681451,920118910,3578905267,159285994,1384454067,562340234,1863790233,182601115,1524166200,5114686689,3889541979,4740335782,8553473136,64636673,436123281,3232874825,1139813035,6291441037,1785235814,3236341014,846617433,3735306134,5101423356,1790132097,819470734,5760115179,2203447437,1429975962,6409015543,1955683200,45958728,1035406620,445923216,6914325880,867174651,5654985831,8034551280,1462300220,4174090410,3104096786,3521280282,5088831818,1797014360,4836134947,122274561,587026576,1048871247,4109722421,23048493,354466040,859632736,449772132,1798113009,1630145736,2750550292,232756832,30714356,2210299542,2214229272,3188369200,4200023980,919544072,1274321727,4922822590,42171424,2021082056,1546920604,2417949384,3610653575,5839445052,1970273336,7169548608,3133807398,1817823205,2567123734,250074249,7344916880,2130117392,1613446828,3921769020,4630791172,3961315872,3634325070,88240632,2093440896,2734229840,2666074865,2433111980,2773803399,2653010262,8960362758,3525684078,1875139976,746374888,3941799092,289347587,1619016966,1340958310,3479028632,729448800,4734142184,165179997,3643608912,1642556460,244574784,2152136860,537070590,4636936008,5321568132,1671190047,862897026,614872104,3686758536,1674246150,1880916520,421032824,1379127024,2514415414,423052932,624017781,1622177096,663380600,2388379000,253598709,4914218724,2975986422,927223116,2357931840,5137243854,995882220,2725664915,8576017326,1331964642,4257436736,2687849019,959841983,965536904,147480340,1571693845,796682861,3875440045,4722451412,3489987810,344854336,2983219500,325926489,1352574212,1064506618,2041634304,1136714944,732590386,3947484288,7697442546,493027628,1897659897,7267690448,171671526,1605639336,445333856,7793892756,1556152120,1006530018,1228039312,2146917300,1606804906,398950206,1308452028,3857962696,2565578763,129240849,93069582,4429534864,1326444237,4994402823,2839281571,4923369805,3495151326,1883521348,288749820,3781575348,472788538,1200748440,596221536,1488838938,2400260244,6980995917,1908287552,2957069295,2249272235,615711966,2274161406,1483273095,881087771,1290523486,631885800,995424016,1553180103,1106182268,4664820996,709450798,2593010556,355725704,3964423490,5172803430,6060780984,930127888,1001715648,2048521869,40004727,417810421,514200388,643662912,1608982275,4690027190,7043658984,2385263442,377665999,538313310,3985597651,267530682,3298355128,7500089896,5323227528,7729479864,2199355277,1000401620,109500790,583234056,1121691042,2246644576,764585790,1066122804,1941436602,6921399247,1504344248,2253291063,876837677,2783147144,638524040,2710558233,819852360,895071928,4839975750,23390661,707366696,507334837,13328403,561695736,2816227188,954016104,7557751170,870390093,394119687,1765743285,831223320,1124754084,620654306,2496317476,2603817712,4030852050,1278190432,5702849652,365905952,2201400215,5654442912,2524152069,1170515730,197963016,175302270,189980696,3131302433,680740848,1283029544,435089104,106001,1337242408,358355535,5720663696,3383263832,6164704760,7020483201,2252652150,146805100,672996474,756882130,7976435552,247213280,6790623196,3395128650,1848005888,394023248,3606986364,953558820,577018888,2453572392,662325802,1709453259,866926303,629067785,1318352880,384328341,2233930560,1642252574,3958309310,7340707248,94554550,4314392075,294422400,1555394736,966503447,1722056624,8810590410,120905072,1583090510,5553957666,603790696,556892525,3425834700,30195561,6215461232,1919508254,957083388,4159863211,1142017364,2325803116,105817656,44267135,2491207074,1471753585,939071374,1999200174,484251831,4042180590,350602497,139738645,886246165,3064273644,4469873375,954051120,3637288382,2055035226,1277422695,5323232907,1923910093,7446483162,74083371,5319655496,6540103479,86447712,1908299522,665434502,3567680221,3700593176,6840813294,5504783224,830919340,5956822732,6500829924,5923986120,1185317472,3248712678,1594687520,822746595,3334931944,986205094,2989350063,2740551240,2496164608,588986989,5805944022,2563691904,981641224,1910552686,417527788,1957018312,1302650676,1514432152,2921111421,2560977952,1207382325,4701291936,2206801504,1272197907,5352916509,1817472866,131996715,5605788104,7243937496,4242695805,1598590958,2199632148,824221040,260842585,65329504,3251492022,3254726485,275562053,575161358,952995116,180393880,3442052780,315482621,540893833,1771424973,1397500416,857372984,336563542,1424243525,3066706352,2919191900,7474960269,4911889017,599065802,1099541358,8506676259,222797217,3835968962,5984215293,6563718837,4769965660,1297916826,390750579,4162402540,2152963918,3334950216,1311644502,2994053283,2931512928,2486033808,1204660080,1348422927,128151644,2751115590,4583848896,1226001204,2167529172,3114413676,1310125941,1003736862,2636254579,2848358828,116856254,604821540,106241307,780011272,806217078,890719551,1863842096,205311017,250772784,2327549144,336400553,1293441060,77121212,2652809474,2205098812,5686484553,73154519,1499917920,4221804305,5747109326,390826762,4346322965,3326702020,747175776,884492080,4513559985,3330802762,3568723728,572614647,4641978928,7477322841,3631202944,4875569839,5766462030,8699407524,2890908150,6684220125,5173753350,2428170684,1277394795,1655508716,2838052280,2585754978,4084167090,5992183190,616199358,8088394581,3706257006,403463375,1518310986,902227024,3965363585,7216657317,5988403032,802875802,2442316317,827027760,129247332,90670206,3934250520,2220201216,2603705748,1141195760,1820168196,4009540332,223684380,204834336,1868567700,4660527176,2015958228,1501317066,2082366044,3301473786,239457774,596576415,6172676760,1311226455,485807712,1062561535,903496514,501591177,818641480,1641464890,179984298,7401368512,914320464,870154374,900246305,852700546,2845092010,572989329,935463096,3242579427,5789350296,2784148800,1502678242,703405411,395985419,1877954470,8375530752,3225274976,3536900176,4693104136,2490551028,1544049348,2847583932,1502951020,7407882064,3678572900,1026705940,486163485,176750793,1032152709,1796410112,2166000272,6855101484,1089335919,1179545652,3614121200,1350101088,248404862,4571468780,4760027505,540889580,1636591059,4776391718,978100888,1999988570,4163138268,3305289552,612977602,1532488328,999485341,754609730,965002823,2609091918,2609695455,1358391433,5130973575,364950838,2809516911,2598003876,799152129,483907785,3712115896,3118979066,7833253168,7894748464,1861786328,1116214548,4244601035,776750079,1045341560,4764825440,896722182,470427255,1386239920,2358976413,6368122395,406105764,517169250,1020890570,4561162025,4368255032,245619473,3021237744,3069738528,732668373,331257364,4535765526,2081266920,452174865,47226670,591571328,1590415337,1518233712,7492480155,552405501,2582123214,3712502380,7079800626,159913879,2828493552,688627002,245403390,94331277,879570870,1833676880,3579462845,1556747650,579461034,230816492,2576997670,233056944,3925622100,2088274900,134418499,4306392387,847443804,545833710,3723056244,638204564,3108182301,3247595524,2693264973,895069209,1117149198,7889415576,5802681915,368651541,121568039,2510577905,992729232,1336897640,3253669620,2687777964,132977752,2902810824,455531760,1501263655,6890633036,4679009848,6760625816,450683540,105715260,1913955330,3152139944,119146557,3250195920,668610129,2983412048,607435179,289549701,1802169325,2255698780,739007577,1790366585,6184490049,1455070800,34846767,6036002856,3438046504,469496944,25337412,4764067677,1527870204,3717334256,6887373930,428281191,2758638516,1775171626,3416002919,1989038121,824827363,3916303528,1299485952,2645936982,5998587616,110768735,4301155992,8649498537,865460016,704895194,1849603165,6613445672,3112422035,5626733592,248393278,581922849,833620617,2299305375,436163892,2135219916,7934630464,1209061684,5998038179,2341690112,1939608696,2792822431,1150613060,2004581010,5169380076,1153052006,2829954281,1899247316,389548890,3523937690,2794303176,1336889082,4274132568,6228810153,2603418170,6387701310,3962666464,838918103,925336109,1049345290,5589895026,302680025,4841745020,4964598272,3981475899,6233190999,2382443463,866835085,1398522832,2712020927,2268599100,593115293,2708778632,568441923,1676938440,1952591304,648052422,2035793976,3229117810,7411590992,5979679587,2232913236,812329014,5407983180,45794288,999858210,1307320494,688768058,6168915981,1550083206,2470217200,333984552,3093204600,377489772,593256198,7142993496,4673920769,750845360,4985353864,1929250425,6434133831,661123131,753807374,4288079864,719763471,4727179080,7912066080,1932387400,1286721000,1666886577,6982060232,429915381,592193124,438257184,705193080,2274207714,1234163225,1733611197,1162941390,714201132,5790184336,677672958,1024215930,2713722384,369623940,3119223210,1348273676,1022938480,960252926,340851321,3871888083,1897726584,5426878464,4822461864,2493826601,237421793,2423145430,1802356875,3047566192,2370661059,172838676,289127239,519905359,4838774296,3327908348,205258340,3679022879,3571278683,270200160,3932382062,5679571716,3792413758,6014213073,4053960504,424128575,2028565380,2244914286,624619523,26258496,454385292,3347057145,2272711995,4344038394,702870961,1253760588,244211700,249865656,1804968394,2531007864,1471686302,792848620,17281972,1886536676,2386764126,2945076765,4970954715,5371458252,1581387322,802156896,102533708,6758620520,1092618288,3284817670,2525535055,3412830260,5334345884,1904163536,7172156871,4437611640,64012636,259839604,3415108860,2305959532,2329823780,596980224,935698096,3113761386,2449737564,1342838898,1823061420,2427451689,7663424,1644719832,793656486,4979271352,841075921,5492326590,2225433411,1799783872,335773354,4995286653,2047584711,422852705,3018497944,4052031132,1193714703,907204577,2184489040,1355499285,4205284944,467675056,2423127228,642332164,3291102708,7285056456,617537975,338862770,8429840487,2200958430,7345568961,610551168,468397299,1326628968,707691387,169508064,294539968,1843394796,1201854208,599422166,4021757937,713627738,3999439990,2659939168,5275106360,5864368174,3269922558,109532656,208445320,2574415224,983319681,267393368,1579148530,3257916032,927807618,4241851200,6885631830,2577256194,5985896904,2368940874,2762144040,7672510683,2797431576,1542241625,128904030,3958942000,1891880202,3730908700,8533448766,4719771228,7517737184,5179556248,4496817577,883750726,3305638800,6447337024,1537699044,7403782832,1169612600,6240596192,7089840495,153855296,896473152,465522298,7599648006,1315987800,4645084190,2662012014,4880100785,426792234,3377684400,3150882744,3994835308,6552200753,882996327,2986916130,6182357472,4053031524,2548298128,1239277856,7628553904,528319414,6701616096,2089468878,25459164,2009303649,589972654,4995179300,967440054,978403027,2531359984,8991000315,1849230666,969673108,120218036,6299671920,1408381120,3001968900,3214550892,4102692345,1183829802,923855325,5027696181,8794534554,6829752584,353288036,4768842071,1412194326,2216581659,5360445992,2686529620,5738168616,1591643910,3725514830,1075843744,1292513526,3895291680,3194648880,820593030,2004259104,1579450797,2630950938,1182705468,1671231225,901351284,2102010820,177082664,650385654,308142002,2312218815,5250416445,2892972921,3593031885,3643143340,1927923126,968455749,303782795,2801257794,313074548,856151265,2577842802,3902622336,1012252896,48431424,3032192720,981134320,1012939575,6131408592,6131207835,6699570514,6553869552,2725971512,2137567320,2401687180,3856501628,427556088,814740741,6153009737,2597054708,3685966576,800731803,3652976706,1956877740,860980479,1900377302,1764208750,956442943,4500971070,1852486316,570296010,4478586140,469187766,862650590,3156231624,124391126,2787120544,2023670820,2807366737,756280589,7922802996,1666769226,3873386708,2981745744,413964848,85509468,471261533,799583240,86826535,1119922570,411712338,3788842666,5987857608,1443680808,1621382768,2845555688,460196548,667368144,144938772,4186033854,1306371028,42431272,4146402152,2505994035,4568857176,1594032480,3638314368,2675670512,463061015,2837582224,5536915182,2235917995,3265628754,4157328222,6271448445,564001983,979635980,385530312,1175837880,774987652,1019003805,8168136273,822372592,223700042,6769153965,2988011970,6340096441,835031808,3871465620,4352545615,2303894480,326287633,2221248880,3283875988,514121272,2546186776,400860160,343002660,5099229528,1726827152,665764777,1606342050,596283492,1735668960,137248572,955174968,4751842452,2542936488,3346837056,1841634949,528275275,2746258416,1841565060,5197159917,1629813970,2480141080,4427447418,3597943401,5656284300,1393710858,2631381705,331354654,788944684,703660597,915994452,2324773304,1561900458,981871396,5128509672,3760425936,1855332072,358549006,3729433460,7209602832,312695086,1599899870,1829187414,1506221270,3454606470,356939865,1744509614,6261872058,897887063,7342430868,679055216,7059703446,6864228490,4163575347,1213043526,124844529,3642286170,2752398618,3129093108,5570142431,793035954,1092834906,2251088070,5176177314,461051607,480291699,1197720746,2319256982,2613834387,314373647,1442701050,379630913,568815816,2325715948,177042728,1217067674,1379443848,1234983588,312624423,4881361100,842716190,2006833242,5845801864,1234482592,7765911768,6237748359,72330743,480387287,112553765,379802504,3830530884,802177918,333039474,3209829696,1537946232,1564259244,2701174698,1662221536,2347732968,2748677520,3568207204,365483685,3211316665,564305870,800311704,220198143,2134202496,1085812115,2586465560,3430671188,3215277276,97645517,1386540216,5083874772,5467640742,463050754,4869102975,2234962495,918667760,454938894,2326591848,4143029135,2247173236,2140044264,2545878042,859086155,1415883800,2238657828,4354641738,27024201,1770302235,775923218,948268190,660067592,2292893000,4586392153,2921480838,5787065176,575272729,5108609212,2709203584,5067985000,5415663054,754787328,1865268540,357000733,2951036904,637297335,1625621256,5207017149,3100378500,487372202,958038222,4895531984,2891597964,198104544,1938047742,1203311546,2620911876,965010756,831802430,157042848,4160760792,3269475904,2226091496,1416008736,1944849567,3818354584,4823928063,4211163174,1761562998,17934535,3313358072,1747346826,623830224,4134383860,3753710884,2776692340,6409552324,593650282,500854036,5496851052,8877643101,5969142078,1513742739,3810380798,1089473080,5392396632,2831818491,1027669825,33192513,47208498,4602000609,399058326,3787364288,638973180,1415081142,7204867965,456699105,1965149952,1813413738,3361838912,776025024,608778994,1298081800,3491916832,5379836850,4058585240,2953072936,4174752042,2329157691,5550307721,1154614314,1587259174,529223888,834891012,3464882655,4371831422,947289336,4616876673,1597259646,1311984144,426133095,2565492804,673512660,2295570445,3772903504,4883177040,4517720280,3744618500,6600388959,3083270574,797803856,1653952076,1607347007,377469477,6157105497,1133736695,248955212,91890651,1820039472,6984295281,1242649366,959862635,360021142,2934965698,52934949,1816771032,6748740355,1892673225,5616192520,2774191495,4902953895,790295418,2660986636,3968232292,165150906,1139535744,1013046642,2149090688,918474700,2456216028,1536848116,2471874041,482133942,747488766,60135709,1131472152,457672221,3290203040,3056078354,1483121346,2695702293,2321199462,3290561305,7329044624,1613209353,2789687400,2201809975,2197945734,6316229717,2118492300,5759726616,545317656,1481830990,1882320832,2335333440,969929028,5764611462,8790871284,447472402,1428188460,1262787414,558628140,1967207648,2394043263,477086840,5246918481,5365271898,2899644492,3481281004,324759861,465967880,3763808824,1741737816,3329141710,7097735008,7541927856,2158296135,1898410906,2887900842,5348950308,3915035940,1541848008,1510733764,115160720,750686323,2729103081,2040671778,4027924144,2435721456,3815349996,1857456808,3415495542,318094945,3581162335,2892811677,3504280038,2357539728,7834950952,2246126619,204165064,1903958922,2529607164,3825668192,1361736820,1606213724,3597124867,3009722443,3301581157,1506718036,8781646536,2484837000,5772643371,3499365205,1503654984,174173159,1211757304,1597200728,401267223,2116504250,3365667606,285169516,1724394862,2329772060,586872038,2830681469,3701634250,1663392008,1418675146,5166247401,237939654,8748836469,1869386754,2379951234,590635165,3807342245,5220219830,1986331908,3785900566,297553004,2027266624,427965778,71855592,871842142,433756788,887952397,1554984596,8168847309,1298098671,2822182944,944969048,846862064,5483387483,1049949152,2055449001,285280884,1601359335,4258191546,6362742176,3090868758,5158504029,1195386325,1661544960,562962450,198078163,5283341538,138476630,5165921838,2108340,603412677,5478879324,838524759,1058450163,1961223234,5323550733,7122130336,1288024065,796225732,2103780340,7150079970,6623067143,2023081385,3450616740,4864034526,4236597370,7121473192,7078232790,792191732,6056222800,4149707121,4713356263,6806514728,8665363053,116578510,557554767,3788272670,475371818,285903068,2964324970,5914742876,3536775576,1826599496,5983361055,329265690,29563888,1254943265,6819538803,463122970,1452367644,5462347194,1396248621,2693649032,2891228050,5079026580,1571895050,4701574430,5685757910,7875115263,268308097,700460019,3924855431,196746858,1732227830,562573721,4294052850,2271714565,1556844813,3214277148,1445176032,3885766263,1691904604,3532948912,1762598904,330764733,5726838448,3314042575,7392969810,2930029134,2957760606,6516427815,1529008101,4443384834,1968419302,1046034243,1741106652,1967932632,1127605200,585087802,928764988,1984842328,422054310,3126369096,3401999538,4111273885,3922812832,231997419,2258055723,875204252,1039653716,1178553906,4057331661,3213225432,605509468,255269164,578195030,1366844172,628999610,240211228,3700318580,6996259701,6788018511,3382630405,2908074213,2801707760,7285823160,691068143,4607912169,2091852776,912867922,2199663455,1146764334,5347413837,2611603113,1929359432,1665694664,1828197024,97464544,1522558840,157351608,1440920769,823082610,5069342264,1137227260,1809039112,1884280074,1531422325,3977051928,2872209114,1450656801,5832956538,1610502150,983578368,196237376,310569850,430626053,3853465528,1909216316,982017914,2920033605,959379871,148659844,5480115880,4290414394,1490222778,2031331524,1569837565,1928125780,5676807220,774915549,481679616,819747558,169737472,1980981569,114342074,3124559235,3767434741,1523329068,5813973348,2855380950,5443938264,1680010250,1939468080,64934604,848720652,796501897,2589716151,1321112168,4237976630,7508029200,6819549912,888125046,2861219937,6653129096,3443826940,339095850,339138162,602437044,7361047143,1209763155,195810140,4642583775,984352176,57157796,1994359304,3786432775,2966066646,557044404,493277712,487170841,1803391366,125770856,5411016616,91623464,7057819896,1135796440,3157163584,5508120653,1370009613,3331134820,408307445,4194928815,6698266112,1937673,3670390575,2885125437,4741821675,459701178,3187737360,2889832732,817680488,705586728,3019664130,289858071,1466254432,2132185674,7789909716,1588726167,882670635,1173844342,6757984144,2663888076,866605051,6353747435,575498772,3953544512,3127020268,1051889524,3831209400,4766056533,337809828,1355950602,2464031815,990058540,7926585528,5619106234,6017719834,1868731392,4597210568,1791982192,5814592847,1668471384,2156156784,7947457104,1031502132,54040665,1177786017,4263761418,978792984,5851245444,503129874,1496004342,516148040,2800573856,1912609712,3008792718,1102852250,6376078177,691273691,113925857,702307397,1778469888,601585299,1777245684,632079820,2514939714,4666882590,2581607028,3195685087,2379933864,1995389796,2663933562,2450635008,128416305,1325212156,2962229205,1092080436,4135774375,7498505754,1176883146,5674383405,480505488,727762740,487912957,148670919,911084808,5554809688,4202343012,1823918640,5720305758,160151910,49559468,434282032,2736524292,1491842340,1633922220,2384991564,5600648880,5568767226,692243118,947500398,121814406,2511614910,5306666904,1687461492,329774905,293176150,257514499,194476558,1837610235,6003650149,537817330,3668882524,3076163672,3172090116,2650249533,172414107,100895895,1379128724,4246438336,1141108254,1424215864,6885064296,6815669103,216945211,1997308642,885116970,1687867725,462229149,5292222800,4351423965,5141505933,1283015862,2434441215,7170597224,4790299276,6708259383,4463629597,1574960922,6461095760,2925228921,283563600,927383888,7209095751,1503874083,2439696080,1843509718,2590767752,1688590830,3421443789,2237805864,4141225683,1193761592,3290168403,636789610,817861370,1345360868,924141672,8460426852,825493888,1774509136,5582620312,5626134283,376862262,441487626,723290391,1647489360,3143306272,4183862595,2805676148,2942937870,381825116,582743505,996924200,6894986217,866794456,2500446824,5130647053,2932659124,3574722990,3876349923,1756222676,2286893046,43265598,2766977460,3903044760,1662286116,3658776390,199911282,345833094,7648548024,5557831224,3255263598,2988955275,3268818234,1074759755,4253713015,7384303953,679017272,4683156744,2777811704,169391065,619659648,1838905348,679612692,883750434,4058674200,750372546,670728800,3302264025,7024601504,889142096,1665066918,2816336568,1495787075,160335665,978976344,4413764404,1896397334,1702787706,105637461,8286026877,5724503145,692849764,605765318,2144204175,3191897044,633646632,6180980265,874299984,8351033877,2675716008,1713660483,1289920680,877149668,628816620,897499278,1000410024,1539597610,2206771830,787863691,4427904992,575602188,318837970,1929246252,1722874032,900571161,5604491864,436820952,96628490,1012439952,153991455,1690495394,1058924846,1605155013,1615328638,571031642,5621481328,621165780,1686654045,7847621320,2066104870,1006527249,2510104062,265525318,2261928428,7393828671,1874833070,868449544,657523448,294620435,5887939023,2779427350,303157698,3591497568,6966340992,2805978186,3106938630,2283503724,903221176,3110393795,5691158984,997141536,2295602992,1417496366,1257344636,980792433,234086640,1588462137,4807457990,871553396,716896125,263945150,3747550248,661695003,97222414,3962288736,1477542456,1266115023,499620956,4035798972,6806605708,515467425,76778650,1205853746,1367137977,3856205340,756992442,223040852,4937170448,1659200193,82303011,77532210,418180729,6005584060,4129643042,1930422840,1260355565,1726869405,558269990,1584097420,191015112,938389316,3090621220,4583950515,421928335,713740264,1042953680,4787717370,4490609900,218570094,293396902,3502090991,698496898,670040536,2883272571,1119627956,508899653,2726184645,3147322024,1021631004,1776070140,1533933975,4560994950,1808827728,455248200,1021386123,253972424,2573125513,914490081,1809609960,1437483345,245044611,1151919095,2899047528,2497923228,2050585776,4280512425,5538784706,1292412728,645051285,4840495800,672340374,416017455,771228461,2996535388,189766385,1754248380,655723648,1564523850,3569834248,255039219,882911336,2159983370,3115924910,4840812304,1725081788,8942938992,547624289,1261927317,2528691824,4775640065,5415454268,7643710,3938935652,1936068215,2583376558,4348436283,6784091451,5411199381,1986918496,3094964984,1707187162,554708840,581231960,3187560,543262878,1758973565,6549857804,5049865662,2423529327,1921002020,1416881772,1172592596,2391999384,11693832,727895978,633711248,4896118655,3697403562,2926012974,952151153,1143975374,203563149,1668814545,2753924691,860178309,937312987,1699225472,373411050,4395214980,1641910242,98786535,2822857995,2508983504,508706775,725859381,3619613032,3664929030,796679457,4013179716,1477101784,3833445858,2845037452,4938709075,431451340,7556822040,1377774285,407156095,1328812681,2230284552,1075335112,1138096515,1217063193,3805052440,670344237,693725155,662419974,205992786,1351022368,1499844703,2552455072,347230832,3949991166,4666196421,663322068,1545887682,4992534616,288356896,4156338715,2751885930,1622830410,121586265,1254187362,3069390924,3985843141,5117332254,1375399354,2686463352,1734451095,5674992449,84243048,8847643635,3438545600,2140043416,1371990900,7432215,459781132,1807172526,4984924805,2598440442,5429035242,2846197380,101442545,8092002807,3525667138,1654262470,2942620119,56695311,1358792340,1797264692,1163300502,1613870100,873523456,31449335,2171419476,109630570,1921731594,2345000844,1349312400,4453033599,4723618912,1835151786,1654109380,1635081594,193486164,643639500,2644069995,1986394620,4514800014,1894814542,550494295,5652647980,3110356256,7760101932,525388354,33907558,204318801,1676626952,4935969485,1501099012,246011021,457099428,1671640628,3891137139,2295320652,5643861818,1424772114,1263526184,2056755330,263250324,1777715598,1848026275,838971153,497860877,2975003133,5048215848,416482197,2665461687,1000843440,609171544,71041878,2918223912,1286866346,2731405722,197363030,7048497936,1332886461,2547756264,76080476,3696725232,2201895099,787772128,1548856496,5939158491,1841542818,2545331436,471516054,769170075,636134930,4507886485,246344832,3866540944,1164012036,267275817,903739572,154234850,849730680,1640416221,941685966,6579037782,85238713,314217207,6266996056,120099374,5153031918,405677450,6941704440,1609234232,2420625273,2973642066,3789265616,2878446136,2782139874,1819761483,4234621458,3858488740,4399218495,2258916216,966849650,3803675967,5078171619,1388692578,5241362751,653037986,158398103,6446085966,436945394,5132906737,230508334,2951166828,928235580,878183631,1470727372,4064251422,3141504882,6328170152,283188598,84794409,656700424,2339106525,1543358740,1920040008,1231147416,676757010,6333514971,1337807352,5936747808,4144967463,6170026345,1379324232,3047029500,2412698631,944110398,376763687,3667698420,1049502024,704207924,1292275856,878612940,4583522223,3853706768,1637501146,748883980,87907509,3909558980,704663018,3776097231,2112874496,233486560,3234118984,2805800898,3047052844,2421943470,1794752946,3974962730,273229102,707551306,3743720766,5093321936,757279864,619165068,98083716,566922858,913696978,2920914651,2479309488,118192536,7393848480,3054614075,1533692848,6078060331,125946168,286644987,702319512,3192613935,1724870361,3703235931,671480328,784219398,1138233273,482872230,6724226696,1745756950,148956269,1459210893,6543749826,2502113895,3695097696,975194480,1178096706,1775514249,2678418702,3325932150,8956613133,4439508828,3367390760,708685210,1732748,3986688555,856569438,3627413932,1013951334,2739183948,422224929,421606297,604333707,2578237740,5687567082,235039188,3533136695,2222078436,3621099643,1015732584,415984730,816686236,1166936994,2234928367,5473150224,3201039390,4377619440,1680839380,782046062,1968283941,2870776764,2235166332,1157971308,2542493985,565833980,2515249737,4988852655,1691973912,1186630952,1013682192,4545809910,3360226715,1285703496,4303715412,4662641361,1359508146,1307698086,2968179220,2908817268,1966425008,4866647535,58586780,3151342368,462912866,5771024399,747465502,6375870528,1942742536,1508225946,384365168,2772485922,4883139486,1601600726,5020098790,4712489550,350781918,2231981136,2356980380,1092614900,271390048,1238957559,971553486,2162865364,342239359,2794155495,2834653923,109734572,4650750564,2832779067,809655274,774858712,460248885,972002107,54074268,557575632,2798206585,4166771755,900167510,3006336885,2908940265,2633086626,59729495,7350058,1914872056,1817051076,1805798324,1026110868,5585764230,989105277,2717392158,5623397577,6838054248,3490523436,2406979096,2087527530,6041518536,522425780,6913923728,3746664025,3828655264,1035599382,2903024120,1242128768,770722934,7838517056,253696182,1627233640,2928737061,6998081220,1980778095,576477076,5072421560,3834494304,1772925882,459470370,597676422,7264312464,7337575341,2907842799,417381145,445992700,7438086378,2751471,1702956732,2225935491,1244694080,5950431792,1720882500,301234352,1437480676,789040104,527658042,722118640,920884268,142553634,2511918250,3111551514,1064797036,6820988916,504487856,2064666432,4519843575,3197931009,8578069155,88076863,816893478,1266801151,453849538,345838643,482050669,497409042,2348427879,465572837,1829177583,1471176510,3313227010,5600481592,50892494,8611955361,1795955378,6996177369,4463413794,811290654,5618537376,430687997,6233930563,1034565580,1484381780,4425013299,7083208424,4520014536,532439936,7905742596,6738389388,2558906136,305135910,943736474,572956286,1158155742,1407293868,7158138784,4087857064,5672656808,2081030928,2519955747,2165519590,4295648088,1043981808,2685639096,5499405888,920403819,3107214512,2890563423,1158274734,878933713,1868137602,5382819468,6796645800,2476812453,4255608656,2610285102,3062689038,1779831870,2453910175,2729737581,2826793092,4499324550,2372642580,2928902465,6193490534,654300052,4817656608,2126999696,4556985300,146612268,4980322140,2960671014,2743373580,2960319625,1816635368,1449749118,390916736,3910461915,1717306188,309817698,4747670858,2824513248,2617200453,2866031196,3974119896,699910740,836996782,4558823352,1959891982,1111594374,4232109906,6371600848,3526897220,6663266785,1150695288,10229230,7905962736,6499457766,4036684365,5206598664,5109661980,1278843861,6864414830,4926111312,382105955,1719707073,3890119050,5649612066,5640210352,1907882355,2244430116,4719086106,572368365,670237820,238395794,702160850,2157154432,4122055704,1132142763,678440498,691673508,1179224140,1212676594,3886673135,2926027914,5537529214,1715854987,5093115622,2585783996,2222232685,170787858,548658666,6059276550,572758235,6972597079,886275028,2423445370,816720794,8164087452,2016906101,4013248194,2275670310,558436795,4347508566,4816795080,2179850523,2894804015,563817168,234089956,5361519248,1013301788,262654054,316007451,516390690,3350158365,427886576,3873183041,5546448426,3304558116,250124204,5938478168,4541421269,4735989950,2086840816,2582210772,1657592544,4100422590,3666046596,1297762572,21970538,537587390,3046309072,97272898,655235728,300127237,331218219,1289520135,5898836144,926145402,141870918,2191677381,6724256448,5413964454,657993056,587108152,44187519,27518574,3372618475,3255163890,7594535322,7331880681,162552312,1413343764,1510182030,1337214400,867035976,394508154,6707602192,650308467,2981554479,1848423178,6528712136,664105482,3375976182,704454643,1990518178,8915328252,6668551876,4018738871,1154982864,1770312198,2059825292,1889422371,1858346700,4206697035,1722933748,2255994654,536892230,6128178147,6998733369,151269825,1701321858,1996482124,1020044295,2975601930,103874645,4304447075,4654242324,905134655,3741214824,1044315864,1424351248,448948314,2059451919,904779879,1605076412,346972466,2203322526,805724859,5464339986,6808623955,6804704241,919978908,2652341985,3260751109,318069690,837263819,1549472276,1307214861,1539111204,298028824,896502506,1198305432,505040382,1944109398,388533699,3570393450,2322792515,539905211,282726216,2760919110,1213220366,1948159131,780488460,1478492163,707004571,19399142,2086710291,2895850317,1123051300,5988294504,188369130,6853398489,411690690,4455085368,5389740522,869061620,398493084,4249962515,895023130,2663354935,2183651229,2356962318,5940735021,47870041,7797021147,290100456,3791210850,2672221300,97374240,333229040,3908197832,4511604111,7803845264,452308920,6231558473,3867271088,2140548064,464404875,4991410650,961174508,5220082200,944218328,1552333110,6887403789,7373979496,1705992489,264690508,47639884,2156413512,2602022152,1137161258,181024431,567596442,848950472,201188514,397940385,596524532,7348568175,2821575765,4205818992,2049004504,954694490,718323334,5436190800,846959109,517693030,2898681596,3999670974,920337468,1575932024,880354608,648493068,1801274916,2364231020,1060941240,4454761257,2069763552,4624146618,996936297,4871658294,91537593,701130717,990326536,623035278,1597863078,801241568,1170804870,6188131999,5468764294,5996453232,2796600159,977343768,4537633890,2496011,4312036400,786519280,747770062,3562217631,6679447976,166844713,1172522124,3346814268,3604548348,8561975445,50863605,405321742,1571631794,6194789608,234107595,856743472,1908018450,396035002,1449807218,4598633016,2236234080,1114910570,5851935292,3817272000,1742628544,3415896540,5750978100,1932596835,1563371556,6623709036,982375857,4193908621,2694916203,932179204,1383614400,1102947314,968241192,430477386,2732803122,3139549000,1834813472,5820304931,3057233685,4109488656,521776438,4835817875,559436031,12013420,607761016,1357826940,592194922,361481088,2442629316,609504119,2742716263,8916961914,473778210,3788838776,3310930248,1707358377,5035288368,2549637525,1762484460,853496810,5090345811,5572084098,2056086320,90523935,3437535590,6136854955,60166572,7740134192,4524107620,2198773458,3284995064,276125680,5048224328,1054695131,1704705982,4259531950,3518274950,4783511200,6106120182,1579317984,2325249720,754962079,38743188,585794410,1998141080,1559577252,1183191562,2351588490,1572333858,2929089520,3617559015,1392829152,359537748,5962160659,6284424096,6602224568,1778056161,1211322705,1970185770,6045080480,4525357865,2466959016,2902086868,7631675824,852398885,4483792269,889369368,490388435,573510753,5960000552,1781759490,4175640784,1217042365,16996560,1548722768,4461879015,5252474712,778414882,2845082568,685919270,1075384119,3602150725,1521625958,3640264974,79170296,3680858045,478567901,3575370951,4695390384,2367984080,3696669750,2356241741,516580945,3148357266,1145540418,624732240,4471073416,3238274220,2303440545,486311253,7151883616,1143486740,6689987912,803167933,5030742633,885644055,236283700,3064304012,6769127904,409569096,1827739870,109100365,749442743,7923852128,2392051320,3245502496,301184583,6046276050,170337720,2656634845,7393307416,228267565,2939600985,2081799009,1887144908,942113382,842925410,1084877448,3893178030,864710782,3489365860,3706952596,1220448020,997823024,6410812842,5564957685,8608845843,326922081,3096233424,1485901160,3217910948,300755840,634352162,1220659248,2041590729,338526393,4518946899,1350396,54463723,1983326280,912791562,224331703,1213248798,3225619920,86870304,3896407236,546139668,1490046824,3207325388,1028501192,139581336,4944832632,2781450423,1166015054,204155779,243791524,5389449422,1380677977,530259318,617498795,1250295670,100269786,2276785235,6468902536,5727373728,3876980830,839737748,4865674976,4193781093,3069673830,1930862532,5869262763,1523209707,594644700,145502604,1456975330,3597155432,892943574,6408139896,2206716550,176963584,781010872,7438505247,4762664384,646465485,953457164,5791987152,2446847120,3978062622,7342646088,6097095221,1289346028,3765090216,1116990498,5905951911,4273350732,1120746960,1842363484,2902976720,425518380,3867049476,981543447,3584073066,1061535032,1413322404,3978964150,2451597100,1394367366,1648801530,2818353940,539491284,6305012442,1767364282,2140500488,5169777894,700440894,2804103732,3082755336,3337789505,2799441904,114566754,5400803250,4918291542,1243840208,1813823070,4137737315,1572412512,1803319548,781966258,2160943316,1904073090,1523651364,6041685168,5964062598,4084336980,4444454816,673331276,7092170352,685769334,1854671012,1794768866,299914237,1156557808,6584913552,1862962084,4031036180,879529764,4117818078,1153235312,1130833312,2558715402,408746667,6613730767,707407516,2905891350,3903632565,8918989254,7954848136,294926835,3309339756,3520429640,1361176932,1650792480,2602671604,853551579,5327085344,3070863536,2862028383,294567482,2292156087,326439450,1906284744,7058938671,1305368512,3637271120,4260497962,1177804595,3307621096,732962476,481245216,339570844,1132665444,586451482,2596812426,1412037141,708253565,4204894776,1686711988,540854272,2791385838,45844106,2719227300,829219886,2993642136,193183222,959625591,2243889432,1403686125,1101532048,2332947039,1435440627,828492852,4636174698,970993009,1354526960,1273788180,4859259294,4883079952,2987650722,3308784795,7458600528,3159661260,511954317,2972040246,1620332756,2020217110,3768167529,4338039130,887083640,2609200890,3132009900,845748414,663833180,288703485,4542580238,2403958952,1455944860,6427406643,4974959178,2038693480,866539952,4975187550,328534266,59392098,4433603363,60566403,3680789514,1637473548,798706381,582255112,3423059275,466382067,1343884630,5538363642,1591322958,2974158837,2061506236,517771053,314081950,6378909068,569230218,1096131208,488649091,3011540826,3997520050,4938501335,838397112,6313080496,2645959050,2092595608,5861906888,920438433,33098415,4125452142,3421238100,5519499432,857847333,381487302,2540673540,1411574288,2971422048,6520322637,3021227820,35754468,997517991,326768859,2182135072,3095081991,1712297808,5782607124,1224877032,71976568,2909392072,1464364980,3998432637,685999035,327249848,3372926076,893438946,18035520,3465214774,2214692727,1208062770,410831948,3067999385,1644108718,8113896495,1427304310,895635588,3684655075,1093284272,1572540620,590397896,1694828618,108429838,1029258924,707773402,1096397128,157445962,295174280,8835624162,5596001551,1606274028,605161336,406612866,8645126193,5664014825,164173653,4719017568,5823194321,175393410,812289416,1259885058,3697602056,3505858285,4312816845,3268241245,2675496873,849641439,1684189148,3193774564,1060464328,4977269672,3969700632,6424804656,1155773916,5483056832,872660154,814245981,892516536,786533800,4346185710,364154604,31559230,1201971444,7031938104,1666682738,1948458750,962808525,4836204198,2103499488,2747947937,2979555132,573742602,792841398,1884426995,4596417322,6384144464,1731406105,2969408764,777623160,4512609712,645693868,4501808740,781779322,181107476,1866532092,457587851,636530810,1413042758,426795012,6986280744,483377224,1780344664,4289782840,1926904134,2452043079,55840199,3116546016,621729054,295425747,458202654,3621763536,813360735,1732792672,466677756,4404401030,1705564200,1998496698,3136831926,5941085172,1546658757,1421783485,893981307,5926706280,851141602,1413642480,1947225492,31318230,238772772,2969875120,5057347232,779925464,4230645936,3402159168,8683111611,5741989064,252038544,1077129318,106255641,757068799,366138216,34859115,107440947,1585930311,3421744368,1045336866,2090606283,2074159680,2502214365,495425880,5411631664,1385087768,2305845800,616389074,894525582,938887428,4948929200,1740646280,860446506,5589225684,2015626227,4039232240,2581821582,3905748965,902239197,574395973,2394630203,3141859404,268909593,3396925280,541911540,1174862376,312776734,3877484760,1613823306,4471820346,292977261,1584884959,2982836838,1425758634,2729087410,36120046,79518684,4640043085,4826683953,5120732953,495117787,2560431370,7378951356,2735000391,1892643126,812646484,3247868778,3129894740,3205344064,41778768,47085309,648281142,1148471488,2673867825,957025036,4718764190,1166444832,194017314,3100473100,2557152956,1298491328,764664558,179863093,5263289322,8306434278,187380120,2187723972,2560614765,302839728,4405393944,367842306,1622090712,1101133642,3170437756,97718392,937276256,7293613320,1024563906,3048133200,154715272,4716127040,2352893112,760407912,123603756,973107535,1066237200,943141039,4954740830,1825095927,7168242195,1394626285,1581621954,26401613,891965132,83808812,1668516944,227842840,922016904,853640488,4254379768,7898112928,2947499916,678915474,157285845,3064717197,6917979608,2618129982,2356103790,6710327840,58701690,2104077437,346235568,2393411321,1693636618,6831031176,162307416,4157749085,1643358866,739639980,430646508,1358134296,2969004880,4689302933,1333345810,3625703264,280419372,2107181832,776584851,506235278,5579312151,5921069976,2139059214,1260673968,843022148,970430020,871754649,1230265932,1884245864,319962942,7554701637,6941254240,2401668558,570478968,3503323280,781586312,1435559853,680584830,5168217061,877375828,5759897344,5972737968,1385258060,2728474375,464379120,3473639460,451305848,607074570,7162470288,954551836,4837933245,7506232872,303924448,2957877140,957644610,2146487214,9829400,726711142,437298084,1371035079,1525958829,855974784,2227798496,1700668535,849315096,7454129184,6294308544,306289210,4598764576,975224658,1985937716,484303004,289949702,4292846361,419036097,5989269372,3246644360,2830820574,540228704,5450894544,2271466986,2835361020,735182403,3236815036,3424962264,297237846,345607266,713338648,6936447069,5165983165,2103957024,117423790,23367592,555007730,3782348088,5168457455,1064065866,2934669660,2530191880,1801452928,1950649132,6603413292,667711387,503978552,551446527,2618815458,2002361253,2086461186,5326114974,1304066070,2668372671,1931275976,1612831992,4332560742,2188973430,6932662205,348339714,877053233,5545954484,1858969806,1464276534,472030352,2152502508,4429385224,2222695356,5366597706,847917192,710604885,516366102,853787915,7963675848,4631565215,2409696393,687784086,255237547,2957838905,762526937,2470189162,2067198318,569829582,1229404952,5627016882,520088295,204852558,1028660376,2366647320,794974943,8989626105,545252432,1604224880,1294302126,1316621304,2234149248,2031275175,1409725422,1024243680,1731368216,2578160425,925649260,582656052,1077208862,1928626535,1800453243,2874922028,1803913860,733964363,3816052112,6755976752,5746700032,2214566344,416372414,6357197648,915116970,1766181369,1892434712,3990614598,7877855608,3271925706,565939557,2067992360,1771674590,864912872,3424927599,6226765296,1342041330,1618435830,4707973880,3704478016,6650693344,1752740952,2814675090,1504406216,2931738783,321827992,1336405182,1551288435,928087620,4244455380,2115019081,1574382156,5322727674,5103154700,114638908,2602325607,4098450552,1891592605,889152732,906289902,6574870647,736501764,5122058480,1460310664,498491700,50473608,1487536384,1718045244,5967797841,430274936,246126780,1064171596,387866130,269568081,1143268940,6774959712,124682042,155348589,349074512,4682961388,1625011100,2640724365,6446041182,3853619944,352457204,1478685384,857833872,6009383655,2915839608,3939440418,3479180688,2488399615,276796280,2084115951,1573978350,5515503084,1620048080,1875960452,1954448074,1931707590,6083849898,2217229016,519180411,2854734728,6224599504,790227657,3309996198,3707815036,3627974440,3474057160,3608005152,2227396012,1485931869,1382640165,1147279500,3547654768,64466038,4155080427,588963760,1874463231,3840018384,996792210,367750602,1136974758,1895857506,223971260,3517502520,359658962,1959664118,2156425080,8937720702,3681806850,95116028,67419786,2977947129,918107600,5920345494,748954900,4345472910,1112982513,920876462,2018363904,2451635730,2771946621,1515876514,7792992632,723644813,3110473696,1912618064,6524515197,983309352,4702176006,4199443344,943885094,4886503317,4092569667,3449304033,1320423192,2451619467,2926650076,1508603873,439836380,1511192032,635396862,2833660872,427721481,535124586,2484957095,968336740,5152273161,1178266941,1421168769,4173878905,3538720,4613596137,2479870672,4151889294,83831041,3487618432,1474381104,2216548978,603902891,4954195446,3114357300,1761965658,6860404143,60845037,190395358,2717907245,265333943,4339687149,7876065690,3497191785,3457111088,1872848682,3062717235,1772195256,4338914945,930068270,1231078728,2055765820,1275228171,662866156,288558126,412342376,1334652280,62762202,1385105836,8156999331,104342870,490459661,1784459218,163989262,2534959330,2497792420,2044436178,6484145787,2151441639,759810202,6298791426,3614107192,3541121661,301497546,252097144,2943059450,322315524,1264110752,494983610,1707076532,1308602854,2547631020,7817125616,937228930,2753949984,1182599848,1968202395,2633734101,1361301654,1296134888,1173219280,2118123376,1276917747,5585169546,913257792,5654983086,260763127,1986448376,1470173598,1953666392,619375875,3417671732,3172225882,1593484476,2316360987,1230351192,1092061208,1446223623,365852163,655962218,1618369016,1260317180,3031413138,1831300196,4114562046,53459235,697107869,5672341152,5503043871,1129847322,4267122120,251182104,194177250,895518981,4918711070,2495968016,382833050,928481646,7522765544,3333263829,448030944,198027514,186000438,3906022099,847761710,1041959973,2812400464,296921066,2516197713,651623328,8081963046,995480629,2397864993,240522792,4791408515,6568340,2993748864,123424206,505555460,2626242873,631836484,4543448658,333203775,5201624808,3794145276,188410917,3224445715,4467532985,3112286815,2508728004,2299570395,4491445296,2359042014,398116319,326898727,292981470,5973525756,451874152,1245084868,2804685174,518691152,2138592660,5212772922,3967993110,5882305284,2897108490,264558868,856179318,5402974476,1259083482,1847565496,5383669806,5781699328,1464838518,930145045,833049477,1307504055,406404949,2430595405,2731638360,5423042149,1042554624,1165552225,6084612945,3066751121,1725710049,4873075083,3119144910,1656113139,1495959945,1636453350,299824728,1648770655,670602807,4566975256,2355605667,20776408,567916528,58179282,1028748189,4490354115,1364232960,836016075,2166919644,1870124289,377861724,2687668480,1074748932,3827634795,1560274180,6376173904,850849380,1360120083,2748735871,858640888,2591608055,189953835,5784717420,68878300,421824592,2633055616,2954668984,1380820664,2617513596,5881253408,3385887345,6725390886,91948633,113332092,715957947,2228860625,5034163392,316734282,1321459947,6111788186,4916305848,1883267155,1628139324,4292693664,272745770,504847124,738590748,1407527488,436292199,1040082930,4486200354,369427044,3005410792,203501964,1514261160,7416919953,1883912448,2610722880,3835022972,5853977885,661255886,8513906301,4333983890,751587750,604524429,8727776424,2162121096,25693794,602997888,1296500653,1696769640,6399097712,38778128,122872485,246906097,695724003,1337017308,2987110332,2741980375,1767757074,1865121075,1906338480,639876125,4485936960,4735831149,357740598,1545945282,3355416285,495796290,4729325510,3675091356,987670464,944200024,3492583569,3377439204,548697072,437550798,5831830130,1834732110,6180684705,837271210,5232325196,1949840532,277686449,735537762,1423790963,2298669020,3993034149,5696005866,1687823532,5326252164,6448762159,2639454904,572603576,1222999743,121242048,992760366,897135026,3922805712,1997233885,889922793,3837339258,1211620090,1932328836,569620227,1670175822,5340171382,56626530,175369636,304725489,2726438585,2673662100,298306723,91957185,3886917660,7005523896,2197920925,2035198450,115572712,1145402382,8862042069,606309618,409928480,6882082614,736680908,1691866860,1952661490,365497019,1074357183,1177741628,2575825404,1602199970,2603826945,582220335,405179778,427469860,4318208622,2430281592,1027822356,891328088,5817987553,1022886823,1726010448,702254148,2992113500,4870336289,1044202036,3122327142,1953492484,438395265,1758710635,5662770728,3361743224,1293940712,1478777632,2473507764,3768615408,905325526,6701074551,515398268,5636660,4469551695,3430531220,8404349,5221086372,4186834000,1517253536,653647904,76269128,345082302,3257139332,4267850818,1459632303,1389329396,1328885076,2451737384,873805829,161901572,504329977,699044372,703686989,1726222146,1701714940,361182942,3240120954,735950564,324093780,970684618,710834089,5961687018,135833936,634241053,3259224172,76459718,214245468,205737852,3728011392,8548528077,3319542512,768031758,639284826,735043509,960321856,1521411324,314078511,5552333346,849460872,3175765254,418021617,3646826141,565438506,2931534588,477697272,7327530270,486430968,375413841,4622373776,536964137,530825754,999522484,448907973,3328385736,1992153128,1297144418,197432640,2065282143,1597227594,3723011112,1268308812,2059316560,6582890466,545962560,1105825719,7143161760,6947941182,2024763642,7736569056,6683416736,1709379016,565593841,2708776565,3141582471,5640554367,3814385661,593579994,1633376518,1189382596,928366222,1438692320,5498787948,1822968912,832458226,39273505,1628536444,115710919,2022380495,3062137940,2895889740,2170495572,1396211481,914839742,7050172356,1259552061,546149514,5166208410,266305940,1201096246,2457805686,25952889,1086033411,4265248965,5628374448,3385862412,1513207659,5838511734,5800132428,6600607551,417948110,4268921395,1643053212,4665082390,183834827,1333161600,1684423238,3930488124,751204572,198684752,805706007,1322551508,1569019000,1453683320,3279611826,5133382136,3234811707,3882912552,4704985695,715566248,2062366686,741797402,53386074,4305217890,1267076452,241867191,847355832,2965817844,215884044,366759560,161055793,977903546,1552199316,1067371338,4904858965,1037098500,107740608,3433041284,2414474036,2643649560,2558392880,1843310800,72307140,1628974677,345280347,1574293224,2033690187,2045741805,2764860648,3328266132,868696064,2932641072,1884645744,1842647532,1320507960,1933383678,1663807230,5406256494,3112189844,1202056288,223743,5202183938,1946590665,1959847998,3937770112,3227574028,615273760,2966941209,247990108,2031497870,490242188,297967504,1381898624,613085060,2174110014,5516773688,645505001,1745867390,42165576,71722080,2697641454,1032036006,661167250,58911120,669080160,2756378052,271319595,619307415,3380890480,974885306,5660936346,508380384,110428374,2863452628,3761402238,1240979645,1463550444,7085309600,2781790125,1152964508,2454255822,1595556582,1382895968,1643881185,4360609640,1267755330,3694587975,7067299896,2558870400,766949265,813195285,118635136,3471034464,6937622200,115860785,1829297850,3827150632,3459766520,1200893022,1697486189,91713480,160428282,2948895089,2355131000,3395118990,1320176192,2986755015,438392922,64505277,3569833635,3027444469,6279931427,5371853792,55524482,3911081088,3491745684,1033386032,5692553910,2073556527,430083890,2061908108,1089693276,1792173834,4650883230,41627079,932307509,2185957580,2063573973,12229093,1011473328,935994358,177945321,2718054486,4171991010,1850334906,2334901971,4197164805,4457412786,706808451,3510344904,839659480,800248964,345075096,1617786910,5720081742,4933590777,26168147,2877154413,2109544734,172024710,76258233,727488783,3869352128,1483925600,5129018860,4463045456,644807809,2988040410,535854852,991776730,1649420808,4965534714,2970791490,940800987,5431436640,1054344219,698528080,873373561,5436807817,56373256,1017171158,2296652802,1832043685,356214442,3803232952,532808562,2065672288,5306621418,822734885,1310237388,95773880,164664182,620528560,311934958,1566417424,2389820391,971015598,491222298,5574691430,2685572805,263921481,945098600,5771970513,3388621712,7118072019,3281397990,2302878508,3064790790,3836472939,2512519896,775472092,2950765536,1636281552,273841328,3697431078,2992392705,3770597176,2833812086,1120782544,6986360150,7765724187,798733410,1480539522,2902998837,2768538348,5376056226,339556812,2893459656,4356865926,76525335,4699567565,3042147250,5716903836,5248583694,1848919824,3506704020,3147875285,103123776,521679402,623417736,4548628944,4892394825,2483642634,3804636620,3319816,2917163298,2824585120,3382197944,2879053360,1664880108,6305156744,7634072142,721910692,185997638,298786125,1988536737,952299436,1153921254,2358893088,2515956184,236810584,2137043865,1460314380,1740652380,1628612706,935817281,4759067555,5763432440,1004698992,1427488354,1421481195,6404622064,5211282986,5953401090,1397499470,1521949185,151069484,479962164,1085335085,1576581245,610557012,4159676262,1868382988,6888171493,1294771636,3482515106,960947640,725563278,1658000981,6791133024,5563397976,153412795,465166163,5926172142,4520920872,2192707986,2941504644,3844353368,915924489,2892561280,5405023143,3581375760,7068109896,1257031559,542602690,1613990252,1975631576,667334440,3728119096,5544117387,1191880434,299240478,1760195022,5391994764,1018070652,2687074608,1130618328,1046212740,7324946536,2530448648,2898027162,1757708634,1594710920,1034731426,6967745176,522342448,695240960,1989325872,6696071874,5080993624,660139688,3003116440,4765832408,1236056804,568244296,3892732352,407669520,3856301226,800166225,216689918,940983878,1146214100,1333142895,443925333,3795873816,7887164480,825990799,999541396,6498457376,5686145568,1404602150,4942399120,3818475144,5877394257,395580576,1812858810,4774082610,2308636556,4735897383,2696982363,446213728,2202777764,634920088,1590817420,1960450434,4737911300,5565462960,421744618,4054941448,3702744315,415605720,799998821,4951185778,3407493838,352144473,3589629792,370108412,5809323720,751849720,6778740101,4246503525,3840354528,6549850713,1813478680,4931353100,5956254234,1753416130,935748136,1085075145,1047607872,702784876,1586961105,7177591288,4723479930,7175377536,116778856,3454087371,824174354,2734708038,2026158534,852364602,1360202332,2206140102,1381305858,163740400,3547743184,778415184,460917378,1744065264,584157595,1292532128,5315347296,7570913880,2431843509,1367544260,3507311208,3935690900,2563834803,2662106616,2552231658,1488445530,1493208036,3653925569,121005444,1582136552,8284843899,4724158340,5086723590,958792329,4983448311,1031470800,91445332,1075187864,162366550,501148300,81438315,7934548176,5132055831,4279673915,2128322118,339341390,1413185123,1024566950,7335984690,253005772,533320196,2291781852,2889056931,3568284666,1105915686,2540392940,7121634880,825915325,2650232727,1773493965,1038445214,2687740740,2617303284,6868832192,6596772679,2707579296,5496304476,8032643829,847743222,2332345125,3323207586,3438190524,1363944136,316085298,2182953735,2188538732,1064798900,1211207620,1674390126,1863122922,3805102616,4199291495,4549026104,1866665608,2419199088,883601624,2902872996,885105639,455161239,5670139248,65006058,26187320,1149837672,646845632,2111233671,4821463129,965030886,1802884119,2190435520,545636426,3253924955,1029120255,656849783,3670363075,4801708128,6968110368,2219867106,1036406043,4753247358,888848244,1496414586,901062628,2659096116,1355784252,2189134866,5322319362,4252102623,1021445856,5040445275,2602242020,3762807461,500374661,2795850280,4831209628,1663515462,159777444,4631710890,491453434,7185848301,461321811,7230820896,2463116658,685323675,3187616058,3174099080,3602582832,689831380,984323692,4609271790,4249867552,8966217402,1895139364,831910426,2357201700,2180535304,724415401,173917038,2390386728,3021640062,3195370596,836394118,668316874,599199198,904301800,1706235592,125496610,1139748380,220679664,580053045,5187540337,2470793412,644086508,1372348368,10738890,4057384312,3052919264,5955023904,5583342008,1390084744,2484832987,2526009732,845396060,1326049040,2416551372,1293301228,480019608,974814524,1585960716,1937853656,3718112352,1736239854,546177095,1473595902,3347154072,1772214576,2678035768,1075685572,5763488103,1384012248,599431280,2733969508,4981725390,2257659446,1224389376,2533163328,1526548792,2064012068,583385368,1053803764,1892583750,3158243025,1537924332,5149621122,284993198,671626173,969448602,3254798405,2736287400,2682486126,1394455118,3094993744,765659760,3610753704,506951022,8644021236,3028424103,2724191764,4680180208,3082437884,482126026,214113760,1281989807,4713607164,5366163246,1742220870,7050462768,1383920739,5717509536,2422550115,2273279272,4232569782,752361966,1127275808,1011411112,1106211189,5291749544,3020106512,8165071242,2105565840,4900344725,2344191426,26749596,1769153352,2406753504,6016079768,237105005,485680502,1644791864,420697722,756255454,2853805535,754084872,221842426,1247490216,1273450451,5810786712,2054996028,3035961446,7847113832,1045820700,2678419670,3934217970,1111564020,7609231320,909086416,2923315260,329150835,1450182216,689333271,3354376652,3414765835,1812976284,1023640324,3660904938,93633042,706255470,83744934,4111583133,3734391626,2975018060,3285463884,2379886696,1653889165,1510514816,1595885220,1422429624,4597851415,1105572052,412996958,1582006797,58973120,517662606,902534027,2450217969,8010764559,6084331512,3474507752,806863515,125056947,711151755,784587139,551705992,671711028,5997874950,3399899080,1828711528,6520672515,990084284,1267538952,886536214,4428445725,3607416124,1861765101,454673926,1892267212,2980702959,34274492,3592892904,1488559376,187365200,2360451456,985871748,4369041930,4227287574,245522512,3741770905,4564934368,4462442864,6147215,2777691600,7592565078,6413845788,4428597936,835542222,4961903723,3075816032,2221129834,563225957,1228415602,2049608187,6503487585,1086661320,901499916,104748363,1198776968,644036505,1209558819,6273017044,4348422435,1546558811,265950710,59213390,6214565210,250446283,84642348,1094742724,1120429812,244846230,1961014544,4515503224,1469209023,654542074,3466097442,505390446,262251466,6176513529,6408892449,2744260670,6819661072,3335497708,6217418700,486380894,364552633,5746775508,4965218652,1850069328,3520911114,750957221,8456718645,225967854,485569845,2084869928,4694909616,4452221620,3073804620,1846283620,1780070250,1482854924,8073931275,2131844960,7458614586,7841533424,98916027,821839824,4831556920,2211931650,185821824,847259391,3638192176,140835948,645177492,5474233737,1667875098,1134662932,1896065096,3234142690,11291088,1890648384,1941837054,1789742673,5958059088,936797186,1286994927,3551899645,3771707562,3342856027,2291647631,1087596820,1046934612,6516324880,1848338310,1257829146,739312077,7937507624,217595880,4936138749,2918228896,878734035,706730030,533182532,4648250754,1868605580,14038770,4103019081,970998004,38808868,276449988,3043852133,3770494812,1057186504,417294129,1596134545,3640118260,6990676767,2239996196,2610892160,1827732060,5614649568,8435912688,1644741768,774254934,2066343264,376091829,60973989,522845087,1510021839,26775021,4891109290,7372310670,4466552223,1341905210,4077497785,1055471800,1318966810,2633561262,2149987347,3941529060,3955528865,1740045224,5173367416,3761361835,4247881632,1937086118,1788459128,1854948717,630365034,1214045280,7002262953,3987568275,598942895,442247368,1444435962,950583388,62343432,422015211,971760408,6196877928,623548164,1332313224,5932944577,937164731,1982190441,8812256859,1629061176,1836259494,4162108797,807697640,38219508,4691243952,1015971600,1595698374,145785821,5900803590,5041307376,496452764,5330477904,3839815357,8252326620,221316548,1769658086,1621870340,1337115840,3158186720,6971031802,1031797765,2656498630,5621580632,1253254248,3148892955,1174682950,5503620928,1617197285,4930294908,3675280744,1297932,6697750960,6380340256,2882671770,2003058376,4054502675,3130571948,2693788136,6028361171,4825622016,6438926608,4339021960,3514442065,2022895413,752280165,1152949556,1211014530,922423369,340367124,2970082179,823354284,3959451800,270367884,1581986915,1006719078,1231391583,6167298303,6781907124,936962804,721046832,5013193392,5934600693,3243446955,3734463230,2189281095,955155219,1103814655,1908500908,3360579138,728271635,615768420,504181712,5610632766,706212504,770813118,900395955,1955425620,2401238035,4836594640,968883024,1620370405,694390222,451052900,2461967577,2940834585,2821126098,1903925781,928110177,2224080804,1048091601,1723878136,629659782,868126726,1514015348,1418576108,271307640,673337697,6830696040,2101242980,1036528236,6099533704,3883345920,1543746420,6160425168,3738120220,511630283,4055194254,957543271,191255980,3886895000,238177084,4870002300,183737901,2662541238,445572739,255700825,5879613096,1292044257,1854459400,3140232534,7033196,1098533328,3712279820,316478984,1241908242,489802478,6322167189,4464525810,235235952,2575982216,5296283973,1627625739,1670636115,1925510664,1496316056,3427823976,3055729540,1034190288,4458686946,2318709352,4963115922,1230678704,823207661,248287875,1563791349,4606255724,4339175420,1250138460,2802621689,146739740,1626146506,2473139192,374533102,8166865023,234039274,519557181,958671586,366290092,789338368,918021084,1737193710,4959576008,168672207,5317614279,6679755180,780032626,1711375736,593098592,3710983760,7631276624,454174540,286488520,182156102,2781021543,2831619105,749028952,2191637080,1032486220,1132122696,485296615,4152555351,6541785488,340539018,3952555684,632184462,5197194086,2690995312,2393565603,4589357988,6963951736,810077835,699698000,699268695,2134528152,980992790,3981464669,791416076,4837257930,522774814,4099535451,2882979508,535593616,2095115997,3777227244,4817342550,1290341196,490755045,311669820,1963220425,3975722776,4348179120,2146431755,1018172462,4532486910,7708239640,6553343472,905992122,4794133152,2520405706,7024437900,6060965652,507544362,22930047,1136940716,4087228740,4582395384,6061203135,3961275336,2830098462,16610148,3834056130,840942675,280753864,1034134924,2790651102,105272250,4377539957,2366281638,1863546860,831602558,8196744618,2102790216,2166903188,943314465,2420098047,5417373699,631455396,4768643295,7029437432,5926472292,1680957104,1464107238,134063770,1379670475,562832390,751602942,3856436055,406638855,744425656,912955905,6969745143,4815466105,2987265840,2621789862,1981562697,3508903984,742391539,527716868,589577058,984955797,797143738,2111191252,3376043469,303803101,5153577072,1350004548,448455122,1265252032,4249350558,963377315,1729631324,4627716759,371440826,5462040535,2467032785,4977714288,4273748334,716810973,623579358,5553016758,5243834646,613049238,5353487142,457375056,3124091416,311732685,1604503712,1833109977,12148293,3818364164,6049359801,3339453957,567401427,685048869,4358012302,2264407590,1031586753,1522272244,692339688,1402853985,1984208268,508564648,3481771435,1340703180,906855246,3364020544,272043086,5489680074,3380112128,362766324,4809208790,2358122392,3949306098,4776979146,2981722996,1346901123,1060756123,4346894616,4960661300,775973045,971591742,2340100266,4547729949,221589981,1935419432,494206704,2599507720,63032567,3327722364,6134069781,1944197840,2877393918,2201108567,1478498964,6264339018,2211133455,4916111320,4858349960,724165608,192672486,1014713800,1862667232,7403041512,319453962,1174838104,4853672568,95346972,76971967,2989530168,4776385167,7259268834,1111132526,2958200024,7682865552,4951573968,424427666,13161015,925622042,4277605260,565280688,245615000,742887035,100473934,1659318520,3890117106,187352274,3027294728,2638556379,1730069866,438001947,5222301870,4390236351,6294303504,356199336,971069216,1904586304,109243013,561102256,1710392570,4750066080,1325924384,3267934767,6230382664,8511157215,3077709020,828435964,932969166,939416250,1931945694,121486868,480446373,1877558656,5696112168,8104848453,4938286962,3838168960,1581123240,4479747632,16099324,792789204,3019686205,4392164810,44662192,709076040,733088232,799692776,4478809896,738914244,2930403909,4695829545,303408500,4679884745,6612149649,1694680556,1112947764,1547927493,1395623828,5398835120,3689178528,2628317040,1581966014,4943363922,4422574150,5133013326,93983440,562441672,2023970465,5813451480,6517011915,1312898307,1065710945,4256763903,571689907,3271110632,1407120211,64314538,1174468773,3730640964,142617422,2491463034,2076373688,833864027,3243278704,1425936722,779772268,24448947,2121193292,790793312,598932024,1179787644,982203772,3772266760,1056220128,1390322208,542561748,195764196,2375060688,3366350937,7051434864,3299291779,975258048,1211463264,959934798,938674070,2795420735,2807779872,2840939508,69699318,1824566322,2328400912,3892208410,314140754,2686549255,1244949096,1941578156,1766193570,93972816,1909875982,573723028,4604350698,8160528411,301179753,6067756548,2075346828,4853912838,853618032,183787164,2881043295,2965950136,3701099691,1276927380,922741808,4530473689,3843495327,1882668124,6311998242,85060520,1001416094,860082608,1655721840,1851641394,2075574804,1312829060,4059470790,2444560836,644228812,764262195,1019555076,1925104846,6368744018,3326087250,828591815,2988480572,823124966,437487568,146766432,7044918968,8214111000,2721491624,2510086215,6663449232,160551864,5854710528,2077590864,7322919976,685252443,1303744455,7570838,246581182,229614434,1723636152,589406129,1521909108,496344280,7804238848,6296059959,1758575520,4774891986,5102647347,609505730,6159905200,4592740221,27016887,38472154,4628537226,4144024285,6739488544,1245458622,3920478952,4849026365,1495806518,1361685174,374393410,1013338228,584729944,4046894244,7938995616,1511059216,304975228,3811365474,8842361706,2153985465,6491967344,4249449360,2738694916,6799143968,884350818,1554051252,8250667083,1944026208,724699989,3066005435,1778693240,922689174,957166902,566368344,7919718128,894358554,3077903372,6907109598,2174297778,286827348,6270528640,983179014,1028263710,4358992340,1637737822,136612668,2477400611,8849807217,61397436,1932645462,782323639,4046531363,4894210594,1812005536,2651311752,1527420618,49980062,3721332594,523747062,2371807512,3377810744,478950129,3179367620,776721177,3393550875,3669601812,1206913845,1407886758,124297647,4736824752,490431540,5187479382,4778871615,1455951006,847210977,463833156,191152801,3708283180,5897563756,2131845708,5265808008,96424785,7513484776,5058236912,1179536802,2938489056,3452015788,591958609,4552247424,1711368832,2724125855,663486038,1794836940,345201248,530037275,1225249728,2239081736,4504185448,492333612,5569418712,324561861,157848032,2128000420,1672032510,5715048675,5281655267,1694336784,544808458,1196653872,164893952,3043840920,4937023595,7692815736,6308591472,1263846560,3551282273,514153582,2571330240,314364454,3617238402,1690186000,4288084191,2440081108,927680896,2117406508,1081456504,7768967592,904436620,6991396685,749629188,2061654928,1790814654,37208189,7377779142,1111376334,2775974076,1868140156,1331980564,14380176,3604585156,1484221390,3496812944,3693273336,2905545510,7904416816,798835412,588996642,2631404448,320861460,523140944,6055255928,1670715765,5686127888,1318088712,1788752823,7202426488,4857681375,3152196624,382835772,1077733135,111345237,2406736818,3042477100,1372976068,3743708904,482874363,5111984154,6121830736,1859231496,474227510,618035016,3287818794,2237559416,1468785738,355996058,293692472,2825822592,3751546149,1799541084,3723964974,3289102480,2107257777,5912794872,1847979256,2470835160,1595307480,33393896,6127153641,971127930,530648792,2481930210,5059443880,1209503169,1764986860,852945797,3900756012,3075751028,1816830744,5581803564,1409405508,4450402664,1720439236,74847683,2032031484,977337118,1678673024,4058080356,268442772,1999972800,1359367359,1594494962,4494048909,5579717910,3560688210,1813604140,4540913745,5452641444,2066801120,1636378396,2891401064,6158062413,1584438486,6080920656,1883618916,2918986461,2617275735,2278815390,2042628600,5795912712,976217424,125680392,1931997372,3812928108,4937164020,2790879168,1561263828,2038624168,452753944,3872546590,1617291063,1426600994,7265343112,817000432,266225088,2118713004,885186001,1142691720,280011676,1332322136,3924903920,2714086602,4458365865,4707558115,2740939668,4307333758,4504869490,3846895650,2277083397,7053422448,6199631280,1255848231,7038939321,988543432,435446568,1437729168,883801617,1799061562,7502312016,5301282912,17674736,615503556,2884091190,5329681384,1189668802,1538188692,1464043918,1955413497,3953066992,963744964,462834380,3707999799,954670596,1640115085,5856371120,3013777608,568151638,48997090,5304797680,3948782760,4446224792,807279030,3029947326,6119737575,1007074350,5975311743,3122847152,1313563304,2564734480,416711780,462254146,721203154,1307757532,7078534668,32740019,1309701925,6299124129,5549080152,767957562,8966420217,485068416,1857293845,273396370,732774487,2593890824,3763846655,826032879,1884551792,426078884,8776698219,466256763,1238541647,363711823,4697424020,804043698,2793530097,309876900,649177476,5833356930,4501076967,2609561735,84749634,1054717888,783935286,690618140,7568087440,1519033270,2840184855,164693344,1748454939,1544040925,3032594168,1125543724,382811432,1126915012,929996370,4122585774,7867104008,1034167184,1964172372,4724583790,1513508832,293492880,7224345567,2054065072,7467856120,57360336,2834262176,2761612389,2363369811,6249336982,6948363996,143327823,4520558988,4038092560,6188357376,582880486,2227282632,351405546,8028315567,2757414912,629450652,3532325315,8538987384,838212412,1654252436,7900186293,563136552,3562797217,7215752320,6606923050,7790455616,3172669690,3023325736,2977413005,5326970691,6332785929,1943635870,2558020409,545060756,2047836144,1169003268,4608460098,1867186248,317072472,645932932,975637496,2187731164,158264674,3961869960,6125267112,7927612830,473814775,1495226532,2480036388,757408511,145493492,3121581348,624225425,2334406920,449849116,390394432,2009797615,1537619360,1340884497,5948020225,978111849,4704996604,1660368006,660693149,762474696,4082618162,671089980,1075415046,202685901,2761750005,418979005,1566803574,2396568789,3956441132,1902262398,1916206046,3885463496,1331571815,2506634010,7725646104,4590215935,4945142718,2995486112,750541650,1034917908,3846614488,2562204868,1158351855,3711247270,1631915988,1242536654,987848964,211733620,538670303,5119513794,2166323388,982966333,3892692228,1537986438,144071072,3031306808,974832102,4002227754,385484666,6656730256,459912915,2159450960,4221365934,1881298215,1503621582,564993113,8088810687,4776899345,3148078448,2247996340,1130497623,6647202814,1249698474,3984943120,7873855248,686683498,5365207914,2963039109,4718641968,50615073,1719394476,8404072974,2721593505,1213525794,1653832912,2016162309,1950285906,37887998,4959531,1831822899,2438063704,530598672,132942170,2907360027,6111409581,1247746668,264204608,3898322397,2767546605,200227105,1246857448,4146107196,1262975820,3889606785,6226077333,1696697348,4109059355,989762210,19417191,744162462,1437321330,4664325294,2151143364,6694159717,655440760,208046570,1597295252,2606946618,2591797398,2599084292,6888568128,4342246920,319185828,611776697,368676892,5983528789,1522890711,1545616413,5910999384,1951805680,6720322176,294263633,3341450745,98396758,1879129259,1711696468,518550002,1119930183,8830714221,1714067660,569280843,3185951082,2080936355,1430859000,152580563,2417077017,25622019,7228074816,754767501,7846888704,1794113067,702249471,1075223714,7764481512,6355831468,685853038,1191070992,1214918718,2607866550,827865695,3848644875,3157307360,1090803986,1459468692,70752258,3352262600,1544033626,3620106414,1666953930,4294065905,7951194405,7256990032,1264241238,8028764946,3657872845,838488234,2259673871,563568459,48643104,919667817,2777044872,946310367,1830003355,424099898,4301691040,208245877,4372875675,4878200538,3657399370,6921980345,395515104,2211004948,5814708920,3156243310,1175108295,335758346,3734034045,106796862,6083080632,2255096028,4132697985,2187110247,1094024772,2032309494,4652746587,976881792,914793441,1913432730,2363886876,5895251073,1338699655,828677907,525753790,3651509052,4462715752,2549618918,263826309,943344368,413763350,1978180958,1703448112,765137739,2372126452,887516350,2170725360,5172065296,5109866930,484608047,24338246,3972866840,5925536148,588071031,3010111192,1483029660,1852397124,2838366186,2146482210,2949341814,4117068848,3030461556,2340635127,1530905516,5362746210,838132552,4036406235,583407804,881858085,457992630,520784298,6031136104,3223802673,999162046,1933863624,4806511371,2281912620,2456561095,1689091558,1363060056,3927349596,3511830296,28463974,1104917004,1471483950,6865820964,2860829865,6403692807,4729804163,1511680382,7377012,999507722,836728356,3977514236,5945974734,2621947496,4222282020,736167084,3392154265,344773972,4844861064,3097439992,6634881897,1144683030,2722048131,712887884,935622461,943484259,5469635712,5136951561,1540014057,1311953103,1154904040,821744919,1961482653,1649686484,2520114438,1720558616,1482122684,84567660,3378925864,428606104,139313674,1489266807,2587405715,519201522,1120281717,241477847,925286802,116090079,918021582,7652558824,9131924,218836386,2183082780,983182884,4898480055,2076191574,4765394250,2215699176,348685112,1092794882,2371863860,3950789856,4510110381,2888032239,1043340518,7592976880,3259143376,5450857902,44590996,5929321230,5321673702,1062104154,631734951,624763584,2449274244,1105504253,625696075,31717462,7703981064,494024673,2229446091,2920284160,7190041656,2945202540,1523244376,2275391925,62456816,382496536,2840870420,7746525048,1014301224,4990199739,660750170,3734660776,1882692147,2057976764,611757183,535916245,796064920,2690482431,844752556,2349452952,2919925428,466562214,2211324162,498763370,71315448,1128428476,629607791,5864280429,74640990,1036198340,2308138404,769246639,82893597,916550436,523427598,887868025,2891323555,2117489616,2348375064,5615388528,2710488152,362997640,5363160456,1952766978,3127952296,3220783584,685674300,5077025040,1982091783,3479205568,4336133390,2496353811,6240754952,2069295228,4376776746,4324434012,1171724064,3903970900,8424180774,1079692800,4115225072,1058692888,1656480336,43482349,1269307460,1844140445,249899637,503467617,624425536,194596857,1965217632,1192435254,57227157,1675639490,5190938249,3946681152,3072418008,857045002,1973909838,1643868414,801521346,1539803285,1905143762,711890418,285404644,2008714839,3680794156,1604181018,1338616566,57808600,3705845418,1745615376,346526921,4690308917,1855394764,462060408,1299460040,1277222016,7924303710,5670132468,1774571300,2054814068,2963077803,1514764863,774728370,1623676888,1875752642,2812689891,6030616900,5853819584,2831162478,3338948403,4943475235,5262300505,1787930848,1517094252,803497840,4762799920,6722015118,889277419,2657375748,317631175,820200973,4644034290,1563848755,2615440794,3288726448,3666344172,739421104,2123133696,330958568,181977606,129525416,1158708108,855446386,1130094357,79430864,1100384241,1855398280,2075378622,808784792,3394559052,1944958539,3401577048,3445507100,1755314204,6427156330,5171188358,4802355313,4166506825,1719668724,899179908,1354272111,7225062216,6392028209,4500645264,2847390644,6030095463,2683704240,4107791088,1119044386,1637888800,1838153878,516134756,5857698021,1135849656,3650715435,2148826590,24247783,449074032,1525979046,650349116,92194794,453658955,5571536532,30951237,4388636077,2064921378,1459664440,4378388176,2936136255,1264363821,2308113696,476300053,8685416061,4567983660,20842548,3055685128,8059695723,3622955520,3572224908,453926493,1098758584,833535948,961010465,318977229,1623089190,806710310,182279821,2306135358,747834576,132292044,1009312984,350233122,1160321550,2576726140,6152020984,565674842,2061729546,118411183,951639700,3344318628,3678473595,1186834455,4227844824,201916008,529767526,287462421,8512526880,2400167685,5865948642,951662565,553619552,1573961283,818191314,864267895,232041262,293193026,1749614657,1576467612,1402981342,250454202,1392305799,443085275,1095441008,420301405,5698796929,361426608,740468720,1172045777,1646722095,1097295850,95041539,2790385485,1133337475,808572508,173724018,3702630672,468328616,2293990596,1021898610,542382450,5991806436,1793372860,2607933818,3202238431,3453702625,2895572456,207849612,1921057784,557253576,1110020120,351474792,1174959882,1459799289,2426612395,3059896136,1862178912,59557086,491867656,2485820491,8159821650,289891684,1801416498,660737018,2038247316,1922624725,8438282712,275795138,294325221,191854534,909495320,3580962016,355860220,7732216632,2669450552,419257413,2278491594,1727226400,2919851694,1551383080,7485953784,1518302259,4950426304,4807196457,1440897384,1483360371,1753370948,4023997648,3732707315,2879993730,944377891,404590448,5741000482,5801806552,1180541856,4065105624,2137790085,106255346,1103922828,3323062525,17773870,3599544557,2097033273,82046607,2515790898,930712628,4036243608,1247848980,7511562064,1964719287,6379526817,383874503,1833678240,662193980,808007061,4153907805,1480391586,4867383530,631669923,1176451752,2563668650,2278256953,2086977510,633159199,3102211505,4057427622,3167435271,1684242870,185219510,3972958929,2862040622,1386034680,267225351,3065401092,635796388,853573232,5825785080,2066461914,1179753003,2681418804,2521568208,1551645075,2586161144,2223087024,509684349,939880276,3038659614,523036848,5753270384,6150572100,1578239349,72938807,1814128400,850665308,730056465,7303951953,1433878732,1259617470,2631100192,1276622454,3241164696,1220091378,1125284106,2121844172,1839117246,3233308632,671657838,508171125,1325489211,3216119238,2489405274,1189635648,1327436188,1783784244,7323969132,5188520532,1989495282,2928431772,2032910442,1377703810,2307578605,46160340,73641380,1398864244,3081494516,4345628502,5513883011,4720827685,5200273602,2578558544,2653182488,632276847,5745860757,2368198143,79737250,885143031,6321960666,1256310629,1372225068,310195320,939138872,1897714152,5026813188,969374730,5306117472,4536197764,1874251665,2524411240,3757410468,4092274665,35762836,1337670148,1760565438,2594850801,295934562,2194341520,58564908,116513635,45687681,3466128186,5235015600,2887590530,1510080510,7644145644,4943998560,2206135692,3809014264,1701249296,3404315719,2188676496,1875429819,245863053,6255897536,5651869212,1816050325,2846866850,2191172610,903025806,7493692509,302013834,1081911420,4100107152,2557258074,3646952835,2605078592,4917157511,1484356286,1146578760,3964110024,1020688530,1710184347,460871546,200269778,2205656724,1010226444,866070912,475813639,4927213056,6152787832,4127356436,129017131,5294664242,373498076,4352722188,216655363,2717086185,4642788000,2020754312,1261002720,1342845760,2506249728,2228152530,1682232708,1613318212,1417117638,1700326896,800276172,77091060,4257365944,2337926619,5472451313,3038345916,2664872825,2331932645,3281837140,1326364260,1544270833,207909993,1611053650,1168044876,2118821562,2101322910,1903395777,3153822135,4895926755,905812458,1226626356,5848188549,135434638,491419350,954192056,60845509,170293995,8758729197,506497704,2947960746,1781533062,3073273605,264972265,2181115128,3368875530,1353160638,2099992836,1325109172,3743135193,1524738656,1374484254,189175560,2386324992,7901721032,823411011,2601661748,73345136,3648199376,1969017099,1203233220,797735415,1456334224,599364606,5190878476,265887330,3552855024,2659191345,3447239922,516033450,1374728680,249965724,4018018392,5878680201,2213589459,242161041,2252679855,1663119162,467407360,2244722121,4450410624,2658641199,3911720862,1882892564,3597503064,2315523951,1925635533,537244822,913102056,254197720,4612415895,1783973314,3697522285,2459814747,739206948,868467660,245907891,1562661224,2209599056,8467532172,6250880167,606100325,1394157640,481833878,1270364730,4658627418,5847933060,645862110,1591204204,1863096206,3630117280,4972024375,2163272220,3628344440,290916292,3456055974,4672534424,5089693962,1132572880,2947334454,1278215906,4577377030,750617595,487404128,454197245,1492960096,347189596,509617371,131764360,4496985630,746153120,611338098,744368125,2998839408,4565050136,1539575052,763916659,611353758,2832501736,193104473,6166437030,559504624,8677303695,4597693416,676837542,950104680,1801705101,1075697172,819376780,1679010598,1916116086,559621612,821922036,5696777695,5212842008,6482540368,528722894,3477419970,91786380,2872441885,5720856750,4492751795,3059249520,337969126,769723266,483143508,3138605752,5654892552,3990321208,558146735,372806035,993283030,2431015840,713880768,2356421589,2312927435,2754987495,3938181175,2639180088,3843199638,32589253,394644348,1677953292,7080367096,685833378,664027758,3484586800,3125268924,5809355454,2703400197,2328453900,1123698460,3616468936,7948714592,1644388842,104370870,744556094,3227756435,92208975,1918203895,1497779940,9074585,6858005589,4423927422,927873763,462801840,388211868,26266211,570563640,484415855,427760078,194104425,1878122685,1685266620,3823214168,27104480,138783410,3587689435,2810233056,2293245044,4338850500,3193865470,449774556,1118700704,2185613307,6802525386,4806262035,2403939045,8683718967,1414408916,241674502,3893271956,1758111580,6533819460,943197532,788189984,2808881608,2210496597,1530858776,1086064484,402528045,5732523378,6962102757,3095046350,4928139312,2098108925,2078027080,374538552,5992220304,684060842,5772651273,379097009,3321616032,2852740059,650252184,1449591384,56288314,2651214900,642095682,2791413208,745762775,4560622031,2622310230,4678711965,1974429270,116464311,1246936248,2808508684,2156306700,2701105830,717883938,586378104,8876298681,1243681776,2078796951,394249494,4866327835,1882991196,2393849235,1096078088,947958670,5462118732,3332197701,3764099872,3352621992,2430616128,3076946545,453259226,2021835120,6963630499,2354985285,4659455940,3210818304,1980108252,1527398236,2181394725,2913888810,311697120,5422689,2316011844,180635760,2165436591,1988423684,1367550032,3595551304,1399047030,3760936760,2179122085,4652772174,2265355365,501973057,4298933535,424802560,6962841549,1727931352,2661537560,2749011736,551877011,7437078240,1442913096,944810503,3303169496,348459924,3346331104,643955992,2461815822,2972122212,2148943332,1133831331,1134314433,6622265178,6371825760,3257763320,2781400749,932558370,3884823488,1168372632,2037339380,3296360664,6677689816,1229003892,2134360560,1549516241,5803241898,8913248424,1735105026,1188178438,518901304,3527675277,407992224,325763231,1855978873,1990158128,8352797184,2764636296,612250800,3948786702,2302812036,7538393619,5145550963,1377753336,1143623943,890113716,3062883825,1466501298,1744738704,1290866910,4637636360,2414006570,1318555890,2094867278,3630027515,1428956133,638716905,5140916208,2814372660,670913544,5860880624,474615284,2543617225,7761445875,132820398,383127198,2365554084,6234023184,49732246,4574124425,173385246,411835379,4468032918,3865982757,5257911510,565857324,4763208712,2575082805,4544372560,3078349904,720602332,2632971231,927115771,2116568340,520298378,6671651805,488996242,3550309070,3560958837,931930042,3039044816,6192116056,822552857,3106513692,2804589513,270806394,5510164156,5937226351,1333998114,161272880,1583432808,7501519197,666980970,755363362,3668170821,1789473440,201851130,1649635968,3519597272,1046413916,7606578600,3087989690,1677468345,2482908198,1434991850,4966772538,3099991680,6601084290,468296170,3794974168,4199556935,2995431908,2594920590,5861193174,1277587955,2917241721,3235170956,5875258501,333887499,4366171224,3432200490,2334631845,4887653120,2196251208,932800731,2502888732,1550330178,873424568,5519508744,1736581788,3644004,3410271744,3526927988,4060310954,6476819094,693947340,2878718214,1209896223,626697824,4332259152,6152241690,2488462760,6235131091,7533126056,6902148072,3322008504,774197140,6723629415,3684834546,3490653460,3826525460,6816925752,4907798344,4656251404,5086564188,5040804954,2524717683,708270144,422236926,761367090,3204592495,5148662316,4384773528,5295979251,855399916,4158188237,187201579,7517111880,292164072,314878024,575744706,3615305556,2183896715,1259251720,2248551441,2743361916,5832607528,3445000447,1422487320,1048422766,4076706627,3455825051,4881121810,436426516,3843412630,1580134096,5815000194,1403980578,5022783204,1091854518,763419180,6673962120,887097467,1105107084,6987236688,1078965675,1722566678,1237663254,3454594308,2766130430,1868053537,185038220,944951157,2407593340,8794367352,1261596030,8905181868,4736311614,2605978197,3560531852,5081520645,1310784658,4186674066,2610633426,5917737328,1157935382,1055504863,3521429808,2159650989,126849913,12691155,3035227648,402649306,4254404960,6539250151,81758004,568006582,1768220976,4119097584,7218799056,3277920445,1848961632,2867921823,2124236376,570821250,5233189554,1762622090,871973176,2811287466,5419743810,497617376,5990172921,4338088420,720881145,402278760,662606664,6509863952,1175888694,4851657414,3069525385,2539046424,340117036,2060102226,1194561347,2115804625,3784814520,1905702432,808624920,33615961,1147652448,6334711586,4073500080,4065354706,1197873844,3894371320,920210464,8128767024,410215266,3667924104,785128155,2551059084,934747692,925476802,5450641063,4073646325,8477609310,274741954,1951734140,1848890646,1607921140,538486318,5199130296,878046266,2095676835,1283007219,4167046242,1341289061,1830426582,284914152,560782857,3487419912,858869927,481588650,1392421372,3340436589,2143792062,1766315876,741138470,6811845327,8451957519,6168261768,5347523880,4588498832,267934152,2481560284,2113711312,382200756,1826489481,1206064590,2378779398,422876504,1228294890,3337523348,224115540,4595526704,5510027792,3149394834,1789604110,2801216971,1374168546,6691578530,6151149264,6022528352,7819826208,2650577660,4465281680,635407208,5555032756,1921034904,3084189820,732648365,1251680820,8381427066,4614565865,1666166502,1068315088,2819351388,2482903803,2091604515,285152435,243472692,2861746140,2841307635,693229043,994881362,2990813904,1771134256,605135182,633403450,811017324,5248433862,1885247980,4943465995,2058321576,1367838668,2915263768,355779747,3822287208,4974218520,1192059090,521852865,7001856160,2643681656,7543952464,4031247230,4458331392,3532306272,859411347,481446197,1969001176,1236738530,1590033208,7401999016,2378811090,2984408070,2568202149,1325732872,3054508104,5091039664,7908431664,1163779540,5550435121,962819718,270757149,1736857328,1859820592,421869731,1677718090,7148292032,657579042,3291173025,788498664,127374510,1099738767,1526064722,2647706012,1306639728,2493079056,8920024587,5599379997,2942258876,899960430,4565157527,719279280,4562502723,549756066,520983582,6556668580,1432870734,542260157,13288464,205338894,6896831368,359094690,4159299366,1501477932,4642743476,3564026064,4394233110,2184822738,19653148,826304972,3480584335,3442231044,269124758,3353403785,2935077426,3814705800,1993405760,1823810032,551347360,1822342904,1185996758,1236394565,169361365,3650472576,5886178101,2560470664,1416394120,279207399,108826114,962866284,759053223,439503459,1471845141,740830465,3879345585,8379376848,1852918315,1273915185,3565239432,8003354877,4894088220,139726420,5427443917,5139607795,483300575,6930252217,558993206,1589801992,546370380,191784450,7180340144,8497630404,1089702174,4797726885,363428736,668677950,358040109,635968977,6365756075,5621722710,3570924393,940040502,3643854256,30315031,438148187,3827469372,6729196347,1426688004,2692885932,852307179,1768018715,810102690,1354401684,782456643,4063203009,1025783196,3724665035,1699302088,1732408038,8408921355,4954368050,3747858624,3789932685,1446495513,464434779,2621809225,2952518829,858714750,190655454,841214928,1146375730,2634877325,3553165398,6279813309,3558045660,99197799,65286725,4223339271,317168357,4885352025,2759208200,2429019369,3181367322,1495154232,802019910,3507741472,2663185605,2728147285,884601168,3016428898,274055593,4679837970,3572812296,3894529760,5110111839,5782129362,2105243940,3940628355,301251179,8076970422,2823337564,823248240,3678281424,3567266820,6562486518,1076487180,779935957,904985613,3213394448,2855295765,3262051685,2641527138,783660906,577395990,1172905473,3728841111,1309649322,964368594,4186957614,2212833044,2797521210,1248258096,711657319,4981006336,1279172296,6001713384,700299958,265745291,79972194,6624970562,300634252,255607054,5844623400,646289097,484188680,5515303518,3029884780,5952639216,1956479823,1771330796,235990453,6585376728,817394532,2920016784,3043649994,109209582,19963152,4440788286,2059718552,3632290785,1616950828,2766428661,1371017889,5274990288,50269803,1456405790,5842198663,6248854336,2392526031,2583303645,573251274,2008753572,3368155984,2645574498,1062692784,3218113539,4826623149,203810962,535883828,506902154,266901968,2696321012,499301910,1277448614,4220891368,5131566636,1638872084,2575376604,1840916202,272640735,1620229347,826636604,6651133062,2798716701,4290685422,4261424936,907864649,839054130,519761682,776083402,6320432241,1739088500,307236866,4526608800,5764490384,4591524784,38337274,7763333175,4287569952,2080183179,910267017,3716161775,878619312,710175231,972717700,426567576,265767228,6743180696,2069261094,598901859,202217664,1053480640,1943016078,2858196825,6542830600,1354691142,5162724872,20697598,816897568,2255657232,2145408840,392345822,2927544690,4598324416,483122832,1246573685,1743501942,834637813,1458022375,6674481149,1744944585,6112634912,1670899584,191531520,3995660056,202199915,5967211285,2886263212,3419746600,1696400178,399207182,209455720,236902036,253214792,4516940505,948484873,324210003,4994695510,3620723975,631412860,2139307818,4111890937,2101587992,2835087080,1671783834,4016730582,211767960,319346253,1947697170,167181080,1502090904,2351313352,1651582065,8388114597,1860954537,7809046200,407662575,3451387815,2998806804,217979986,822654046,1138058556,652266760,1831651929,3571397568,1323806079,1359957027,3120732820,269461242,3421526305,2739807132,2029912917,2376054792,1397030130,762739236,2535425919,1449234786,4582117940,3793525760,863330356,1394593400,5187565264,287165368,8502024438,843047640,4904344470,4790342325,3510153125,1950741484,8029293678,3891054660,2842866232,3086605728,496070896,630869271,7837070175,1710297696,2953230090,1442640759,5673395544,374134518,373366780,3304847715,126902870,1476608386,5246529960,436284450,874981197,2575822064,859497035,2010950520,556130547,1574070006,3403178618,2114161916,3960162912,2456380404,3001080208,706562311,3431513424,2274613184,6001723077,535622360,5027924286,745393666,738361090,994782900,4916054195,374402759,882373882,747091488,759346994,3439096370,2313902941,374968100,2295834095,1494181976,4691174957,4373967059,7953944940,2576684824,1487586717,3277131144,1836447402,5196728718,6192773902,3672578904,3082956793,1916398612,3365656008,762111647,296530548,2337413397,2066890665,838911257,907666317,859828598,1947859650,1833988765,1480233870,2968331496,3787971840,3448453311,118093095,5144091264,4576714830,689717974,3116660598,3855584061,659691279,2265042264,3635523592,2940902848,2081633166,358799100,3231706080,323588179,516220010,462106170,3627832880,82203444,1757693756,3503433480,44746686,1366943781,1660116810,3854359220,789416816,7749574576,3424725328,3591795272,584122270,2756928056,836575872,4032749865,1798621172,177898392,810435492,5396162056,8689824882,60972600,5244014358,607555140,6275979850,7116453828,7493435694,1130589901,724817025,729806340,2308821130,1657783743,1765821444,2251205736,2664604030,2901028848,2017674084,1119412095,3756237096,762873513,5377691816,3889873185,1284786720,8013635091,1038735060,7606166808,1751873804,3093842484,3651718536,3391515060,3455030411,1740499344,618070494,5488136255,2262456150,1032574904,2646580617,1135638524,1232705354,1657640673,973636896,1351227860,2039436408,5867348288,270644963,1772102040,1093685186,2615072890,2714138188,573114237,2469944008,1202328252,5636161614,6978135927,1204160055,4084390135,1692295530,1827362176,1543367104,3042132436,139371529,1231984046,1575233385,1060447216,5411773836,1990105272,2822118152,3149763456,2214425745,5798785383,1302327522,7948107729,2113455276,481406955,1461024483,1730861876,1377419309,2554427932,95490921,398995514,1808215656,2284130989,2500621336,73659921,1897269864,1819134695,5960183670,5544263934,3857310735,3349345936,1200102030,3555467448,663381102,6639997357,1750841592,2966435536,1706863395,3142665792,513306476,1769531076,1716073692,2974808709,4046508965,859031058,2502797424,2880748510,2809027605,2895359100,869476320,4887107154,1304382350,5539886127,38610185,4937657270,1838167632,5273541420,760516026,2071309068,2676469952,1423193356,2836878250,6458630616,6588584336,1716959900,1975231750,2372291120,3789368392,36626833,865518856,744130452,782650257,7197231960,733924830,880628623,1533532522,1322930058,1670881275,2420295495,434297622,1290282900,5332772928,5717909934,1804444935,6754366689,387034447,561204897,871711764,1692972380,3889599496,2163702004,2669387945,988336096,3601346382,1961091204,1189071190,2502266221,917614016,1535898560,400820476,2177937750,642159041,93148653,6674150592,679322674,931937134,215833585,181823994,3781230068,1399247588,791468076,3539576585,258103786,115316187,5412655230,4578970575,380682460,1398328936,1933476976,4052262204,4327818201,5770286424,3526561044,1274905110,3652390350,2328886845,1850409792,2720596482,1370936202,177876645,2268939621,822401059,1542938944,273957124,4334434408,2679984330,3249730252,1816512381,4345139630,709663290,674007500,2559129870,6876076536,437604367,2721749480,5444200727,1088482090,1819603920,5407500699,4484559378,2346628560,545661425,7704044272,970873011,1097060376,1275683656,2134652471,1453872084,818013138,410428233,1254739430,742911442,67086954,77596725,1678709694,1033978280,44552826,6083450730,824815835,1165594710,3729872276,5794168989,2682479708,1319169082,6981142797,355482940,8683576443,6292731109,2860800624,1311458234,3557357258,2479836464,1185292280,715833810,276528295,4600159460,758723687,3944028948,2214396380,210023499,721591934,2262241944,4104538776,2985161667,236914280,740710265,610324939,2296988190,622337418,6765651616,5297821016,428612355,1725494827,2234249910,67308206,2372784324,49189698,596283658,1888702614,17100965,4239531760,1213455340,471986376,1070897794,591965460,3145328588,1185838216,1015565173,4637936556,810578504,148628718,381720656,7166743893,757990448,2814351992,2863259586,2036947443,6623631644,1241803242,2942425408,5731563330,407214452,437911006,988664192,881405992,5527884030,4639249130,3971596464,643361117,5983824504,708294408,8746547535,304352674,490106620,1540847028,2912369502,3159014450,1432464978,2001987684,550860825,1657630359,704597448,516965872,611986484,6456220104,981921282,5119843848,1738237230,1708439655,6401959270,1430127600,2507237328,2982430464,1426926186,699314721,6077312780,412309310,5112531224,2911147512,30066001,7837382,3299658084,1392469424,1799659712,6468890391,6097544748,7802680608,6574131832,303227220,5507685316,7325335575,553544120,1946409300,2740908056,378924782,1137283495,2245271196,169565928,2189600345,8830256760,7330681485,530663442,321693228,517938025,2269886048,2595631920,4685260104,2580170070,1331263474,3214692534,2720880834,398970495,3987166670,320081920,2976186249,3588664662,7825176520,2264322935,263754742,462749994,4651804450,4817107351,2777800506,245887160,1380791450,2355572445,746652483,886947378,1784098796,5112781446,1017103050,3817434922,4237612670,157559623,1494076680,5144778972,3708289207,5752735555,2454199464,6425749267,1401636474,1209689709,3258934784,1474041220,3750751500,4407500872,4115245059,220423498,2390553136,4555540500,617104899,1124489365,583761228,3503483955,204065397,5827439238,2068007832,584908790,3401643942,2029728414,1465857575,2251014856,3501711796,1220251800,3129555042,1230555672,3170942886,657403524,6769730673,3835136235,2139415029,6091215885,2204574665,1754951712,3670566112,4958701715,1625597421,2172102636,3596667347,2033491452,318430970,555575256,6164088885,3378338502,6592418820,1292344980,3788782200,3026848401,4950005224,1067984994,919728743,752390354,122772456,3660629004,1584589998,941959340,1714883718,6763136640,309761979,5556802974,2748478264,1113407360,835552500,4794023912,1667470328,1062118491,2009306245,1738445125,7621822552,6424542733,959899432,2600611585,3753861118,312743256,101502419,2516045812,694443148,2294559610,2877625482,1509424284,458148817,1204990776,2023524916,4963486653,1228734760,893986671,765011562,5180039928,4746445548,714439790,659776597,549453625,2197904751,372355680,4403944864,819642732,1184693355,6863379957,108278320,3585167730,3857169550,2086894145,348088680,2413425063,405527085,257619623,4818913475,319515463,4943773807,7709163984,976143230,4579397220,8147165805,279923776,944496828,2061834430,6106709072,880566400,52903182,6958462456,4611387,3154588552,906728846,6385708595,449598858,1299017979,1052551443,3979659933,1074426711,2089910340,6451252472,369654057,1360234624,871716237,1223035752,5819469180,3656788695,59731520,644581638,3919739490,2036677347,300978332,1953205478,3019610622,6462357503,1071631218,1051788976,1069995804,14935082,1076329086,1054908246,4678389905,1133131152,637830030,643371800,1828395369,1805696152,897472935,825996184,4305370944,4877703189,4508719115,8575462,7422386288,5430702588,313628556,5594733360,464649717,2514040048,1765790299,1429374174,2514502655,3874603248,4811390825,6413204924,101970723,2820355440,282689905,143904299,238952160,1803785310,1127545224,964159420,1791129120,4362915711,1519072660,221258808,6452881827,2087412614,1665855722,943796814,398726704,63850725,1146363394,77179540,1393879734,4314544185,3017871060,445331960,8894539008,3513392519,1943827704,7305013352,4332303560,2795355339,1469380768,491898852,450093063,256767270,75305627,4375665650,212937712,6688190250,5194677271,1364823880,1710237171,7251781797,76730528,895775192,222532460,956936802,1761792255,1289626940,2515937435,6122790477,7297865460,2557339875,4492367971,650956338,1663361502,1111730934,854076643,4191161964,2751807088,2548474944,816403647,850236715,3096039996,447327452,8252394561,1369868949,689446525,5452922489,1945657482,716089800,4644987408,5379846344,4147391997,3397956608,372028791,375676123,865229964,2530381945,3556285888,1948278159,2381816479,2778452880,3398663780,2835465744,4855590738,1342704758,4914590384,1904991504,3693548280,527649535,433480549,1480301751,7138187253,6081026624,3308376336,736451803,215996044,5111208876,185598270,928333054,852589158,121032606,2461120737,4542654630,8088467868,8203116051,949930351,2177307243,1269801768,829440999,4954318164,31847163,1799006772,377940602,2111166240,1415512230,639405609,3538533861,6821819466,1178011146,3671775675,1734492738,5342104568,3680362176,3840406495,2882762772,827499275,3601060480,4947863935,1552208766,4895633165,5702941594,8930999412,904739592,820724922,1510494446,1594703726,1481872956,3774218718,165784767,1716106593,1530454340,3497821390,1249118624,3859031225,7077612213,3171467070,3051568084,1024612920,729881300,600885134,2409942250,610128116,669706242,2362438470,439423872,695147297,1334761897,820960092,5729188984,2816643291,2372385543,5648252373,3953645230,7213677224,759468327,23700666,803149977,1028682933,5624099848,5603231452,8321219352,480725511,6815743501,3185394216,212372635,1532359856,3721292840,2446619910,3671021880,678690642,4887505965,405153612,2445817900,6528346288,867562960,1358727644,2154959485,2749752747,938877780,1006070670,402259962,6019112720,875016366,3141030425,2189564909,6965578818,988248932,492915813,4098158352,1510676016,1506107769,135823717,112713544,582052008,99897698,7257453102,1975014662,1051851165,1160323898,876586035,1711527608,6380767288,542098304,379922,6365267776,126911983,3261667976,1258647660,1409943603,4304084008,61692795,1870762305,5705105077,1800858064,22248085,1337652504,985213089,4906756950,725553905,1054394858,1645026304,2092461144,15524544,472112976,1675457125,1346713432,72577836,448313704,3447096,191189272,4060591816,273832429,3604253908,419031348,2241707688,100869350,3197800524,583213968,250446624,7283864416,5695097702,5097955392,2554513685,1106776632,2484996616,7777422324,649676888,1921525284,5336716910,3622874121,4731058155,1577006176,5513820165,601458918,689929116,3713858888,2508501885,5075228106,253590429,901626054,1423222668,2638174008,6418539342,266566036,1044151692,549329908,5814516762,2406849220,321112809,3687680096,418642910,4545122953,782250101,2060468361,1267282622,445063521,646014810,6256269488,667601944,332286046,2826090030,4596728570,1726207162,840930336,1559004219,2854646322,2321399180,5270398399,267012064,521026242,852978709,171177126,418840191,408154824,464042001,4922161692,1470676122,1564160900,906632421,904218844,7786635144,2216027376,1199653080,13580215,852243490,5293965840,5992791462,4223408920,637741194,6549177831,1720761861,502823315,4425228715,281327212,5594312160,248843548,2801203316,591546485,820739948,4413563658,6041441160,4407932454,1538846860,817216141,2200006907,502402135,1886991088,4002281052,1122462477,5100794904,3196024245,4635574896,240229395,1379599900,278719936,313795640,7721261316,3906018528,3960858960,2874981752,2449804864,2585201185,8644992255,1226524817,3408301316,147345728,34950529,3689029656,845558442,390742628,1866604924,2922917664,665848916,958833733,1921376690,587048425,5680014543,753993027,1849712315,8352160020,1383867940,1636714736,1859335268,1110548592,1816812235,681872276,126840298,7947727218,1070411350,2923411336,3188248384,602667077,2794008981,46759695,767733058,2366110775,1431642828,7037118896,777370682,89011992,759797121,6407114103,1259090021,1095430780,4169912004,1229132746,7640519456,5421635191,1242040056,504561746,2956441680,936916308,1149473130,3730341840,2153799000,215640735,1105284832,1865887120,3664537116,2576485860,2291640492,1286115687,1044862780,2023627563,304917183,297745954,2535740610,2910886550,3021390872,6126810060,6442941408,5613193831,4419594132,1522780704,5210817352,3363566496,6892081812,5816949471,1117540434,3511181092,612026945,1429084,104874873,1578318344,3945803472,3649636005,4609845925,1274674323,2886549953,1148753052,1196068480,632124,3571934488,4418713304,5175572706,398733437,5560591928,664443761,352427304,71738799,1852523484,568816929,98386000,5201388720,6023431050,1918534010,3031513860,341386725,703160316,2989322232,2917783833,869694702,2771258795,1113533892,1012726764,981265391,3080673645,884625272,369062346,4677357690,1309943202,6150084157,1831557903,1221068619,1168839176,2061677892,5541916324,467077221,750784080,82492040,2402122491,1733084892,971265356,5086748334,4814032845,1038969660,626920119,3642706120,4074631330,2228428300,1486614686,3159935745,2261542040,529116736,769482318,3360427850,8241264,1492949780,555941381,359347888,49206591,147732702,1247788996,195020084,2932429650,1752499185,508544418,4388389859,961432005,4075543458,6972826063,1254417970,6126625935,3739856520,5302575300,3205798268,1361423880,1124466606,4755116925,1616626605,357492274,860553114,924923424,1344255027,5624145852,3810785240,2813433724,3462236946,649941438,4863970638,876415120,5234251256,6823298916,133694039,73930936,979557530,1509460191,1159809309,3365361256,4604394114,6949943896,1011269398,2643292140,2209136148,496287685,1018104680,3080807960,2010578562,2442434610,342395446,747916192,489022862,495081759,1079629628,822397944,2326259625,2690998864,875064057,3723509970,4736135832,970723210,2505148233,573555452,733559643,3117476556,2165257780,824288898,2384588094,519605049,987019092,62170120,1283730501,3342307956,1482476250,6951452616,1824897240,3710919228,6908142983,5951440686,74310787,4686300,568792712,1655084036,4838586678,1518256772,5380046736,1552221024,8182261944,1898271096,5580528237,5294710050,362381406,2232974820,2620418706,5096216456,3471709788,17394516,5436934433,4371451533,2975720312,2742179913,6320793801,3244361955,4854993514,99119566,2551401147,801165006,3246543852,520925139,1813839392,3587651920,418880606,1951005222,432965716,1233002472,371593594,6376290759,38244810,3816053580,1193049200,6927750158,7200590624,131990829,987225237,509723439,171773601,2431741924,79132522,442542402,2141281010,134023141,1456349846,25088531,264822348,1637639872,8907268230,7435633992,122163951,4348565952,44589164,973376888,1605707775,2007733240,7381251711,3673515503,492595616,861945933,127174450,5165134772,5820279570,8122716783,776753120,1089027243,1925670408,7393194198,5750333072,1743778113,1364005363,178412586,593599500,1248132916,4522459564,5736958500,3186699237,377729172,24696342,3717632512,2747300562,289810590,13369961,569541049,461937015,1119851624,957686787,5284612719,1308421592,1689839223,77844484,365879479,520936322,307778864,3964113132,433609974,1235165679,2283921835,3113110826,2933759202,4601512512,4872098580,1618759878,4216237770,1700700478,388219739,3567995195,2310302205,7969130600,1325690424,1639785380,541491185,3608178100,2060441955,908934402,4745524080,254255499,4836063861,334540920,3639737095,953381203,688265204,1326439960,78206032,2140182880,2900114319,3756500872,2306949015,1474575282,409023810,3892945385,1617763400,437415400,572913536,1234669029,1584104334,3458099268,446595750,8901199530,3541832148,1182203280,447514077,3394729212,19753314,776895973,2517322932,991029685,4008389959,248040072,1969135122,1566619212,801228510,719879968,872845176,3377086013,1563561632,816964342,4666256574,714503528,334562412,858942960,4350752252,4063720176,2285968458,4493895984,3417936384,2445929000,5979748743,2736436504,933057888,1513693052,2861445978,1678472552,227257777,830307296,4568434830,2610211600,180244935,2355911448,5332121790,2556097872,471023082,2118839254,1286209146,1271189514,115994178,18144301,449777205,3064701032,374026530,357814504,2304442770,4428351284,5986675040,1342427550,918897570,1344529768,3906896094,2277807906,1954900542,1091358121,321228128,4755432858,2446530036,5212099986,408876512,3899348,1720310520,522970508,989993625,2844491408,6546939518,4390527355,2929554195,3310627436,231714810,3101234360,1182404368,1302034260,1801908592,787163315,1615522498,1287771662,6645739860,785205035,815657004,602474672,494798451,2217470766,713616348,3701682729,2417120900,5699512294,966175448,1455299118,1519261856,3665721420,4879371154,2255178174,742093485,7697688456,1972512540,5348846475,2505424848,2374056800,1024336858,2387137711,3000481448,3920144520,2919365239,7721110672,4264019235,5966713944,5355902713,4246584936,8335970181,2609790273,1472853894,2496771837,803252748,447050714,6275549547,261965686,3932000528,1715804160,981270423,811403632,2520710628,1855793744,1372257020,6908945631,137100013,5043886992,289118889,2302596112,2642448460,1878926456,3854481810,1179039830,183292718,4907251386,277285034,125633530,669087090,480930915,239600490,53398726,16731610,1254690120,3560425645,1999328835,261485588,1893904776,3980293107,1098372278,4347676221,333638886,506709698,8044905681,493176315,4875294248,302370948,3309918864,3880585632,3415942272,56183267,554670654,2948309284,6529181239,8338755087,2604377895,2053421352,1503913144,3285732435,2076360798,3504792368,3601641372,4626133750,821587711,7739899048,3485913715,1033976430,1836640650,1071911620,777510898,200424792,2074668660,294243574,3385870360,2470042992,213044922,4669247364,7738577000,2504026326,617489157,7097077184,697160100,1491336759,1533207122,2019595165,1980627342,3026337400,8947063395,253877764,30894482,928025322,255273408,948650172,745566396,5450748583,777177822,6865251561,178895684,5990426253,7008572080,1576947633,2855492544,424026475,4547773174,2642071281,3905770456,2639472102,416782857,636648328,3734736400,2455908792,420830990,1062447672,4075372624,2935754464,2677729974,3748530726,1806652126,450059079,109605526,4232090735,1473900796,4317686088,1514116382,1046547950,671236440,323842736,1929779280,107402424,2408602071,596377940,2758855795,5505777816,518436072,2190622032,568306420,34501185,246576465,6345592456,49397975,3047353932,5342569914,1607356944,327158984,1176607208,2276448879,1877775400,133758694,7836189152,969239326,2469063940,4680985675,1891595034,1718575326,1583439813,642454432,2335137642,118181943,8877300615,3960512815,456799036,3280478463,1870226824,4503775150,4864994870,555715808,271522168,3079196685,765540104,6880634824,2815038951,2580444975,2368326584,4639643393,2980763428,213102680,2021722830,85690810,3008804585,833609241,1342960338,7077239676,5737608657,763534920,1016284158,349398324,1685109252,757897991,951975549,6868773296,2508836868,6298251705,2528833040,198993004,3580561377,1298063637,2460949328,1048278136,5593474413,995912115,840435213,7011864208,806843541,2922427496,3661163523,4967696816,1823553531,2283794049,1571556018,653134293,1808158976,3179804205,126851751,1045274636,437017259,3629917100,3428719752,4857031000,806956480,6487450088,1659714756,4622023242,2100068026,459469930,5468531840,7087332681,5477553822,2027992203,4787890045,1915411086,935610164,2300625678,54467120,1009380952,2588418780,3724401936,6158146536,735829776,876043917,1517037910,2130024840,1474241510,6840373851,217486986,781197674,5545697382,7172905158,2604721668,4636530288,545346676,858468980,932657429,848152660,7812914568,527236650,3831969216,4560421734,723295002,3741997552,59652370,208675017,2245049835,1747082178,869840796,801725070,427742919,1167995085,727653037,202893862,258019564,2949212808,842933238,6755140819,880198878,2878733784,3903737016,1482739713,1177377520,623929146,798866280,2152437798,3148067223,5265900432,787358555,6045953120,7366265883,2261319036,2150253284,5029825031,813427685,167507416,360346425,403322292,2233247316,7723862028,5997633453,1038604860,7578645030,5859625632,698635580,1333392090,2633773107,5902889727,3410160595,1376368668,411559544,4891975768,4844938554,1122476844,1799542824,2111093044,1187975832,1229952310,1811384162,4603549904,1698439150,1689207700,24209187,5785549902,2056966845,930984336,2096080572,311992933,2760783501,3054205448,1513399935,3337604010,7654106720,1799889076,1616205388,174377959,1054583728,1523370764,4380566099,1643564565,492635552,2329056124,862217165,4845296080,2809264728,3513998260,1864977920,1451699599,5787176862,5441043510,229048900,5274191316,1536824160,1212415626,632626162,2913262352,4664038155,7597395657,302604950,1665254523,2426772880,2314653240,3347982328,4902129720,4387138784,92518481,1051897431,6226195032,1158943672,703795995,2230785606,94289685,2117290735,2978972528,17703547,5977009560,1546102968,3904029894,2484563418,1798685490,219976640,787427552,5748373204,7561388961,614584860,1819287399,2345145345,1736550020,4259678865,1433649400,1601953048,375106151,1465423992,878882236,198107195,2021857370,28974596,3449615040,4014565782,3987062870,3412781936,4337880228,1290784236,970081458,1873419222,380242353,2794424448,6048937503,332575865,1059683970,6032306595,151600923,1102603558,388466628,2213538468,637881215,5125018843,2798031012,4239716980,4244636772,280875399,940753553,1808831398,4183874430,809464752,14554377,2399908896,4549563114,1372509,4492658820,1083640880,7500174669,2187579447,258109788,1954778292,5935404231,1304359310,3852275255,1034077452,1426343844,3868100285,686641074,8431625565,3847067660,4959427440,5781961134,1646586940,716243612,5238193933,6742188896,4559669478,85593515,655193352,4972320210,415213340,125247156,4244622597,1293445116,1105542396,1679146315,714300630,5967513240,1404331320,960948493,914454430,3089855635,569983850,2408978280,2517246546,4415185572,1344307004,4910085880,274216851,464685824,1489702218,3506201315,780605439,4954827342,802950470,1253850148,4703458718,302423823,4952927148,7823467392,583708779,3441195136,5357215044,6576832269,3715096273,817571859,3323469030,7870507040,4303258414,3872414644,206025642,2567055756,1434602208,996859926,2381977992,303494332,7000461495,1641768510,184776320,6559147611,2734088802,2475605320,2729881588,1033959140,3527812660,2103095430,1642234376,5072406,5826855627,4897102795,4438245575,3315061532,1851622276,4183712865,4897394552,722067060,2640359722,5949349608,2321896512,5699122289,1770950116,288270532,285337969,2263878840,1845017520,219488770,2962253754,1295496268,1424186948,765015284,618546779,2795994160,6274146928,3825209210,3427920625,2287708,1682709978,1366020005,4174709312,1122371216,3190424625,147291228,3169945632,5598259618,2995526464,1857067023,3577919952,4271294784,1315388364,1319043208,2559447114,6986923749,4663581084,538098,185960985,111065699,1476255266,1573906558,4265151855,1743166700,1757348046,777294666,526361436,4228527247,513636162,3524328388,569705032,877959652,3275272700,1716487767,5407887258,3199373028,2160114405,50875109,5073219585,1007872983,5843175624,5929713234,6827604560,1235414034,3735857360,83459408,77396958,950325165,2817608878,516023682,1724337699,4256019387,972795483,7157458854,5421544047,5122837307,4992351036,1933981992,562457972,505367352,5067939213,2285484357,3871447655,304278078,6344346128,451240839,3666772035,4559599179,3009577244,270980584,2153925402,1466428092,4715233464,4638886707,1320988734,725349478,318336490,439272290,6039825399,1466203424,3333158269,957298227,3117347824,3356892768,1428216370,844159989,2894744574,6755279608,606555529,8322577128,3809242744,2618944624,3092768644,4198421040,1740488614,1015189494,1997570168,2512798452,790366911,1249264048,1506061560,598503090,963648477,5136473214,1954067874,76198633,5321148888,823998536,4892284755,304039611,1728438030,1302241458,4655881255,2390067843,1424838321,3116581118,3369771034,319604466,1151073236,4172332528,2349892276,980360393,757096771,5673975064,7643039751,2043488200,3921065826,530074584,227857281,635309427,1107895422,2130159840,1383810150,2430835062,1928791572,1851112040,2148113396,5848690540,2202538050,979139851,6187643217,2853905334,692766764,768930482,5269860071,2648479556,3465021714,2440789689,579260815,6055867846,4783444056,1667616160,955730209,1757801886,2548694351,1931446552,6455538000,2768378120,1241450584,1998624234,203624736,1981748638,5398688727,4084672320,8099769654,732523992,76037576,1510576904,547991370,3793177989,77168550,543799491,191994752,246450182,1104468390,911336394,5949905661,864378049,4984332815,1532088387,2701356096,6439864375,4107049020,3028336047,1411989759,1164057704,2277015055,7535906334,4047621396,1557308949,11266461,3188091055,4244466231,6916914198,67274686,42363228,1955746377,426309892,263276496,3091828360,847336560,5757617250,2095016538,2869250961,1839623328,5956853847,3033914835,1477825912,964095728,807815157,482517090,957533832,969697545,442129990,1229006590,3643699104,3971920560,843425966,321954192,766104696,3961476125,2869710148,2786611156,8655259725,3437607548,6728353919,91581494,213419208,1162038879,720858519,5184933852,3918812780,6464041785,1566293340,2720309186,2773443905,1540025916,5225562882,1101003398,1867136886,2392278555,2276582598,819305793,464964765,5758145936,2190497464,1770838770,1551598740,3650003790,861226062,5775958272,966765840,3810291210,1869329636,1495992002,663024681,3965932692,2381655711,539375208,145778962,4584834765,7321951032,1509867860,3700511915,2161987952,2647388392,261265770,2803387970,3593425030,2168737668,4122454689,2997885191,1862396676,249695005,217800080,1929540390,2353797552,2969410577,542765987,1503324275,1010636892,734227776,7901560233,2596481304,806465801,968222112,2980726135,6588791902,2267350515,572053720,714851626,5449674784,216585354,1966429866,764853276,5962133961,78818017,3012260600,4536727192,8946138645,315394558,940796829,284970792,973470734,4369931595,2950369002,1412967661,996368150,2690946144,7554463479,1695960278,1472577808,5518878669,868193728,590866716,1338723690,505006736,8767224855,1060186140,460321500,5727850288,5588103366,4188254328,1116772899,504689618,668037411,1141672488,4788077715,829428733,1725089090,2900804208,1024579835,3524280840,282213352,545108032,1521150968,2269811301,124052446,39255865,922893760,1875309732,250901008,907627548,47242850,4562275885,411484307,486466235,2758036544,3753939272,307487844,2642555778,1087987089,1799742824,1762214360,698715558,1571410647,901367642,2675493940,1409355840,837775496,2111732652,6668336560,404557300,651743771,1302036728,2812399200,3400819296,5474159532,943867514,291302784,3613724368,16311972,1562308623,4940156970,948457101,5074521608,1503168975,1077134332,5293102264,6849503336,2059110495,1190086244,819107628,6428767541,3598461664,4263901302,4687934994,559107054,505694424,8893661715,4562297262,4673061565,977050840,283688604,267130085,1922065206,962740380,1291417988,2059821606,1312092481,5956730004,1965300518,4024364078,8701758900,1066655852,4813399295,2498005566,570606279,2656512720,637766996,5058805616,4053942430,298628655,112573746,134311932,1862994212,2785995960,4745715018,1005769690,1048914664,264299845,2287464102,4975167828,6555861956,2864537435,834694272,306734904,741043165,5697919944,1578107282,758538880,1537990460,1735431900,3248033145,364582690,1100338860,3916615370,4172125790,1761902709,3241463166,8208827964,644445510,5404240323,742986440,180479163,1037376966,1826105961,1307542788,2676291480,2924459564,891931992,162624808,2850494128,485402568,1224519294,2443213464,7321818168,6869265403,1278142508,1232451866,83221683,4241302026,1237715184,2395985037,3882889073,2233612275,3200513060,2387514510,6124647624,2093383824,675223428,947100160,1254277608,6332746840,3671173548,5186524200,4332316665,3821258112,1139976768,2211977600,1722507320,2757581073,4965236070,4331544165,399203754,1177800150,651531198,1176592480,719789399,1531457512,3899006454,5426194113,1550649182,812393382,307989138,2163202286,5768752440,4467805476,715939210,3156468450,3083595650,4702497105,1850509794,1942514745,1372423917,615918846,918706794,2099953050,835798404,1347175732,1697847504,1611112795,2651428736,4608816810,1078705008,2095571796,3698417436,5226245865,1077562770,152266534,7490539206,2364230810,3431970050,4815979380,6870910473,905730438,612425001,615222728,461128215,220603239,2336390976,2717233820,484713146,100712828,667266268,4387104190,1276127542,1829859435,2923143104,23444933,2514646952,2382680274,2601157072,5732997952,2922202144,1843789995,1270650444,1857157180,902927344,2845777064,1231302108,1299122552,4390629534,820630663,1460711088,581162925,4223012301,3203700924,3315255630,877642068,911971228,1430036486,4515857508,7466446053,6085090529,1352687658,2028296943,1629443635,1236158908,306739416,642297436,889137204,2866459500,1234634784,781038182,659611770,4695508218,890153516,2668257516,4536659685,7698182832,4772768820,1643300076,861124503,240798078,4003431047,4193459634,780009294,1542213804,5480894448,5730082263,386203614,3938181270,3670509807,1811388080,660842008,6800842531,172968836,1591831190,3941840336,3110841916,1024691280,2959641560,2429433464,2310537834,2926429842,6966195852,528281706,4736767527,2330167108,5402649078,1563526797,2095744167,950481888,732846147,3174688360,7292146656,2514618832,3248942888,4982357712,2171342502,2490893444,608655008,3273354805,8615324358,2830848612,2148585822,432885953,791062056,808759825,1825042712,4753178745,2654636648,1331318808,4852448853,601642314,550504136,2089713460,5909430240,1040895432,3212294208,3042045666,1803166110,2634953538,426455152,7227105498,1600082756,1762688616,2004848775,2605759471,3206313918,1403920923,2115702216,49244319,8146975797,3218417010,2487653014,3183420000,231177375,2452058592,1703740064,4724366580,743815008,3951306185,283844516,3516500994,2522705850,3020407542,5440989750,1994112116,2313694125,1204548651,446939634,2929090648,517437036,3626168688,1179439820,2926754803,1712877075,574524654,918611700,488162168,2415559728,3136436874,3803820530,7903389330,3160674356,3125885550,822775176,2381040536,949363456,3753684501,2728790832,4761710202,1046635338,272983851,2255941830,1653897104,5151375112,2556739360,2780674416,5494589240,687891488,4991043672,1601148634,993779746,1982829918,2164702230,1939634852,2466073856,1999744785,3995375478,768529656,1917550494,5671382121,1841487210,1665161020,1151086758,4099723754,274550010,4241681584,117514425,550098877,3877128350,4997042192,2705079976,2440385885,2063364381,2522890254,3744361380,1327882275,4658279052,2550318632,776946105,3564416565,756670042,4946255130,2333085576,4867202400,4970544152,318944157,46415978,517934190,4912630700,162857039,915779646,2652790736,1607899848,585990074,4663492232,5872127598,4630253726,5160292992,4981674905,1843506208,401448102,2693433488,1625824770,2879164626,3128238900,1120945053,1407588465,1457139012,1585594773,1628313798,1379474724,2685361053,1969540290,157685664,130134672,313445035,4308147475,965397532,1113115896,244399212,3273461312,776833624,666765099,86146440,5138625960,8839637442,32648905,126698788,1296347406,885743361,2525237460,2476651835,4949362206,7032207160,7169581752,815500946,1766583442,892051866,5951329659,572968973,3980603725,120630951,838587976,1728727826,227590214,1362409727,2343306948,949733236,1039616104,6513690918,1125405240,254050876,4137462290,139658472,2356863009,2318044288,4211494038,201128998,1906919910,893213934,891973479,758648083,1706416352,2693162430,5388711748,758877266,3538108994,3747816816,7752835968,6036857253,1920739955,543747960,5120891874,229292111,3159169036,3514856256,297587450,3832094320,6492425202,1354250730,557135817,1198303006,8435018358,1219486832,764114139,2252217822,961282418,901143022,2649575952,1458233028,2480997270,3970073988,5398170645,5113603712,6621498784,3980229792,1230592058,1358337078,2437601255,3864181420,3227392700,680280693,7849369413,824906431,3013996068,1149501114,453544710,1659253356,756953846,2320051173,871334865,426697983,3124824530,4038322780,678392892,896572960,645879556,308048714,2793846453,281661758,268079310,111799118,220427457,1645680705,1468645575,480457836,610949568,2945423202,99234026,271448615,5352132660,2682571122,61348732,386931984,2931666824,1761799904,7256821512,6466369602,2897624274,3097991376,1998966712,2589641769,161907144,1829956326,1044604346,803203690,7463879840,3851497940,5714794728,579975144,260535716,5886093624,790651753,1342490958,271997712,340878560,1002582806,2780179494,2464821957,3822404416,1494216328,843687148,4382922670,2735636310,4930715322,609195650,1600505364,8974602036,2442904104,340391388,380840528,5974817849,7345200789,3026324189,3173399852,117162385,1372495988,202408580,6009872463,6557181232,2689936336,202234363,597019776,3585363968,2760590916,3532492764,1183670208,1572288870,1923122616,1554414516,5244840016,5078413452,3179937610,320001624,738958798,777709053,3013868128,784578903,307612041,5329711380,13997304,5551986588,2535977745,763529405,545603132,1069392664,3482245152,401805102,1410390807,1754039646,298037046,869301501,3617646765,1762549712,1440553142,2182242000,92346522,139051912,4726204800,1969285276,7973011600,1020244320,1903085811,3134729484,3926812990,3173734863,19203104,7873952656,3987551940,71064908,2988280554,7459275928,3249205512,1791958782,6361773216,1428026304,5732380884,316428922,983465220,959499670,302467902,6340676568,8978604588,184344216,845158296,1503718362,562899587,2032787997,7389999168,1756870398,1581558070,634590312,1084539030,719242002,1254356040,1355021208,5699854980,787127841,42945246,1516392624,7329873285,879127489,6369184377,2134327944,1262440440,6171923884,227320854,4457337104,2057982810,3750169205,2202196328,292675760,4033308430,5553395703,6015710502,230549787,3002807760,6785356392,1834961536,8352344160,1544254260,14386350,1154281790,1040771128,1120165240,996945763,744122830,603804444,5215760196,1437976862,3047937732,665040609,1971842352,2874904788,356212144,8837523765,716068907,3452951362,5662835752,881256504,6713882448,609788989,7584053625,4464806424,5712103215,1702722005,5997722598,1198467612,2485853180,7892368848,6199075729,602293395,5910412674,1174080204,6374184768,948607830,66355645,7455244635,588299838,5561430936,545091952,543718616,4029146424,2785793718,1896343144,1610393756,1645618485,4073619345,5092420808,1314774594,1229944945,1880125652,3777032752,69343071,598723898,3920540448,348564792,411431492,2629343070,664531452,2047943994,4700792635,1885708254,753717976,1258223750,4741962882,973589318,4929274195,3132372140,1706800674,2668709883,1486239404,2512082412,848772526,370362246,4296011675,1354600899,2815563308,1008580125,1410967584,522560473,544419728,3676034728,3843982664,2638645359,1708861146,476585660,3813506712,676671418,2917161180,583558602,1925464029,6624525512,1822859975,2091124128,1529330516,452494006,4473217895,1810688112,1068560174,2064113810,1890798585,5196162328,1124625555,665153254,2544210576,6313358429,6445363833,2870760335,1302856948,2875474935,593943732,920244220,2411526015,6221482296,2055964939,431708329,1418949506,1061499366,481249748,562337956,3974544942,2608979592,4340896040,118589954,6815409993,1251893634,368016956,3457059057,554039700,2573287497,503463561,480968490,3393173238,7669061856,6582670024,1410748020,365816402,1577202278,3333251382,65301918,328561835,755087406,2143080990,3473730596,1433813590,4699530312,1718360248,2098870551,139148971,1075633460,1553121080,971064646,574122256,741000078,2432574156,3934673162,3683188116,4999325079,422987931,2017135470,1534904046,1386018780,838648237,1005083240,126350589,4319276080,2131645488,1524885954,2175204968,727027127,126307872,7570253826,4174340261,2499068988,8610702921,1362569584,2668646096,1199858940,4868716657,867816004,1274043390,958029000,1680201954,5473765071,3782438900,2356175931,459558252,78307116,416210692,1246664424,215884740,1453905520,350706168,1754238276,270947292,3728625928,359894044,78023640,899932226,2904245211,2282357200,275600182,4320607750,3731029764,5396926311,3066892388,774349368,573342244,1506801378,4848954488,3552579780,481944136,3773551440,6905867948,1906250505,1918611548,551590918,617506744,4131694985,2172885300,3623276884,6057015576,3936371336,975421635,571026344,3298154505,4499563224,2319987840,601739424,4525306320,4468344600,2459072996,7667362360,8173859436,2859170248,6699831759,816934744,3445057620,1012400034,2940473754,1276303540,123936432,1826139,3344750616,3255481908,1688125604,7563403944,5478466131,7604864960,2012120538,7914522348,2026005149,2580970923,4249617680,7563447405,4327875891,659385362,8296622559,3470993590,194939934,830640318,2762360955,3996195954,62930747,1487484726,52454262,285978408,1917987080,633647973,621573296,2622870456,4401992560,989048840,543690612,355261849,1365316112,3068278002,711600060,454540908,804645932,1484342664,1321235757,6749598760,2771659188,152413130,5561508408,1371598640,2359923324,1227370688,3881575341,1719213044,5806024581,390390655,6695104136,850472148,433928651,1064956205,760212807,6372791937,5840840698,7761065499,5508985434,54048075,1882605020,542459502,2253358848,586778505,127912253,1925684304,2846665368,2376806394,864162498,392998137,1931495604,2705106024,2681051670,661548051,1867862726,655120620,205734320,7580391192,1312198685,788696276,1927831866,998834564,3725913104,294955828,1333741744,2875805766,3585759455,7261767243,2025283695,6836175792,197014496,749980449,6288539272,3991036392,8059913487,989064353,2147735572,4384489360,501315896,998943386,1139187152,296881631,2831044884,4893123952,5091948432,3513679565,691904541,2627438720,4840833810,578952966,6515143371,3806921180,1527017550,5780038032,2793666165,2628839375,665890152,3435968912,1983939965,1774489242,2160767055,4734143028,3018912525,4933633222,2282161665,2585750574,2008760835,349599206,3771732804,51009540,1521450708,4584617625,2852183838,1471010253,178412568,4218509514,6295359834,3618550704,2940857940,1017541776,1695311226,2825061056,351364540,190881032,3184304412,3675507112,487181533,2712075000,6904805908,403106786,3937746816,2051127452,259616726,241212530,1298736218,1920670528,192947926,2656843580,5734448040,1653905466,5348450682,1181334849,4954909638,3509245368,7697382993,2947127832,848663648,185957976,3774229416,7856741961,3323608264,310347080,2711431760,5632344744,1289016924,3652391922,1410294440,132251994,4120474048,3651668595,4538170728,105432221,1207108342,66789590,576663195,4436833583,2339918625,7485857296,4355045904,538191666,1516948452,4549608900,6737521113,136972947,1777293665,4937027335,4301331765,288429152,696153960,4946345,3014628916,2249293923,67401570,116638224,6591689088,2507333388,1282595856,3685005807,997711820,3159392000,525359367,7337448888,3124398916,4303992266,371876150,3872183912,1117801573,5402144461,544366627,113276568,4460469573,88447944,903357378,848467168,2090466336,4814465553,1388768324,29258622,2530481694,2237944665,360252693,3232766924,599074889,598235368,78436392,1888158432,2241467730,834674917,1349117952,717080896,5829649560,23592226,262526110,499280890,2182552316,4212003350,4315067648,741510675,1602796074,754991660,4739429170,1055657754,1252231456,1477739742,2638199574,85998569,632115624,1765196492,1071741696,3670007193,654906756,480088244,2694789180,1870597078,573546168,3769991078,782612792,5739326154,1825645004,11765568,2605711995,1522470074,1283760404,2788109382,294367162,754060062,1936158155,2107848087,3169081332,796727382,1751025160,967541059,7818706224,1693010846,122370976,305507220,3367616192,2766700223,2378937135,3654202768,1816909280,2268933939,718292290,841370707,89926908,4400372725,847786890,107339064,2577614772,8321151825,4293661384,939104978,6238277353,704767939,3479614392,193506200,1303967496,4282521582,469026594,1795521256,6206391360,1965168436,12941555,788333531,5020454,4319547309,887911656,30887896,1933972070,3471605544,79252776,3057769096,2531950968,2119057710,3895106712,860289911,877070800,1017292124,2617070220,1976033644,5366128356,6038189766,2260189001,33149783,454858599,1834667703,846976193,793537460,1021364074,4858248144,4526289120,4050800046,369124779,471122244,4995278305,2693492766,5683765717,1383843692,1126518336,122345824,1649253452,3445576528,207402970,2881528955,4593507905,894399795,1100761940,1360346235,770676925,2128185456,1418794024,4624123488,2977380640,331185722,1431466254,1265838696,5934243833,516377840,441323511,4649202943,1835619516,538731088,1080936960,623776054,262911875,6996510448,678674622,4597215660,1555660140,2341530198,1963464218,1491270720,867823315,4488394395,3215531322,3032248336,2370915396,182247112,279337688,1524070413,102894327,1925269460,4019623074,7423824288,1964566848,190435060,531505107,5665075476,40168252,801600368,133066255,2099926485,1263532319,4163506960,5836255932,6611333697,8006455467,3466797455,1093782095,5821933976,3931802487,127544283,2648342178,4111898532,1633966362,1513513672,1116567342,712850753,2164267008,1124932530,759917385,2516556561,924062340,852962675,934950204,1264677864,387181420,399003727,352144384,122255334,1008183030,3200430149,1318113598,2526597768,390085565,4702974330,3917114718,96144801,1444559872,3460091495,3319453634,152514008,2615280576,6375463578,487593294,1993782436,3070938088,2500786705,2614276200,3216481385,2894064341,3901420168,1625202243,457064780,1428113780,2690454344,2216023064,1604162686,2969837049,3835799556,59480772,407511952,4727614528,1538936290,2763776436,887499649,1168375368,3152520920,2919801816,1493377600,994577444,4447432665,1728665668,1436648380,829188930,4496106384,1690890444,4877165430,5670921690,7152826672,4889440251,471730140,363791974,5909500268,2925591366,740766270,3613727538,3220614952,213336722,5023924556,595468657,737610512,6482965635,1867710722,5281776542,1609464745,2463708720,1040997528,8647475040,787069144,131497677,2351961978,329704194,2755819804,6045036300,437849010,280602618,49776398,2817098752,1949222061,2265867425,1540482840,2676778964,94666059,647109806,845061583,1771215216,255030792,2579617449,1790657622,799126705,18780790,6601402926,4791511386,6292649960,1275051505,4991716314,7115778360,4468155921,6065862138,3587765580,4523835960,105192610,3169393976,2969244702,7095491262,821547472,5420140374,2492413693,1678850425,1756297350,1882307030,2802248634,983587035,1240469924,766117760,6770818523,662172882,404985505,3562796075,5713132086,5892421269,660357234,6389297684,4258570675,4259886656,1346613345,4153015230,3313489870,33458286,2619320472,439628943,691684960,348196035,6878602424,402683568,3456477992,4291074060,2010651774,198227228,4263841575,1586382165,3549948410,1540126480,1043519184,5649031440,160638915,5863989677,2745522808,3357198255,4331520117,3794510316,449075578,3384699444,1121763144,51924140,5002907982,3257553055,7104321630,5312375040,2083474472,609269562,3816708966,4292268800,3394752228,4164855264,2329724676,2676581256,7820095064,2118030685,3263040072,5684755195,2506897535,1484265120,5870034114,4306772940,6032704304,841423582,2436100100,1689714100,5600141919,6335735560,6035772358,2839746186,1764622020,1408073788,1428642884,1491173725,1493820357,1495561428,3648976786,2501975295,6704678781,1665388210,362049790,4665886043,91609707,1017109018,3831216700,2867165545,668360961,1099712430,287964204,2769867724,5645146944,6671888769,1857308838,553700296,13322137,1541354895,6688301985,323360144,1824082362,1217935785,570796500,120367088,655650976,733748393,321811434,204873312,2657835455,927962577,471006998,4985360814,2802359392,1840157706,3519510992,2236956640,2181446409,2030052860,2174981130,2209830888,2955884215,687935725,2565533004,766627158,6984110488,954111574,940897710,998925054,953919540,2764060195,810515403,599696290,2168636071,5833594050,1765040155,1272090710,6397859643,1190410010,2102203737,2255950668,3528135705,4846210768,5733863118,489156440,2622128768,364211043,2381086053,4865293188,1107472701,1934656178,1695614508,3900477156,926429855,899008480,1372992966,151792243,1447675490,5008095141,758721266,1118060286,5678189680,7620913752,4436478192,6330955216,362402132,1745073876,436810877,219085410,4505946221,871338112,6298167456,635790652,742815575,553409163,757510991,2037284680,4377376386,6315346114,376528176,541912430,512083644,1652737720,3756848850,2114141730,984307511,1264157548,4340944024,1165171820,727112274,99581617,57001491,607316658,563957080,3790436368,2189583540,1705040280,4970673617,1811908410,1385777344,757447584,875151542,812946620,122811576,546426099,282729794,248578572,3941320914,765987360,5700038193,2918651676,4113279920,5791880250,6159511816,486001584,1591963675,28178136,1903792765,4681076392,1965729101,2776246580,3432804354,5091955757,4906563390,2624225352,4092413136,4277697192,3191825778,1686746856,5101896990,1049990648,6460802184,2698163826,5440671208,3803430582,1013992552,8639225019,484562029,4616740072,5922013272,134559698,629961336,5938049790,1570999035,426855063,8607080682,2758212336,1607048618,15755512,433242895,1950423318,996990834,183059721,2525149032,877375219,444364353,1654469048,6178742424,5809824531,373337286,4561391618,4697227283,2306191368,1272150044,2789900120,732282206,2702115030,537840108,637198914,959321865,310803150,3115551692,990149080,192505269,2530481208,998048189,7037782760,2190247278,148158172,608628244,4672431960,3274641760,2320956762,1811335776,2455078668,2025888392,239938536,4138533324,7578763472,1005126864,667649090,161197476,916423744,717020628,3389841380,175076176,4425221628,1741419555,1646120960,922670442,3409546072,3839550054,6119813025,495565357,623845768,3038960648,1014974385,4002161464,944003712,3326930644,858287397,3503824150,1211029812,1202419334,180588659,4328328585,3222259836,1826940510,2370730410,809514117,87970168,4448895684,2719670580,1475909285,1360665116,519106867,805576703,180443133,6758760928,94306992,284174615,4979268,198667661,96456952,4156849405,1566148788,1464342880,5190867896,2581889334,680503598,5842423755,355055148,4457239540,4436889435,1883991762,526938164,453020178,4329277568,5145816618,3947263754,2903157500,3217066130,3225403825,2559940890,4505630085,137803434,8156183400,4050410868,2675038751,7673247270,5146830783,1329877968,1300061550,484011938,2622956598,5546107890,908151853,2022174636,4903127430,3037994460,2786711976,1679516056,5496239664,2310267250,967919376,4316306912,808882743,453260242,249066232,3106728405,1602618030,1368347547,750156951,848073732,528817114,245701839,194580816,2984068843,2261802408,3656845550,2927471298,667380798,2830608756,737017182,6983309997,627677376,7615135784,4500597270,1128977552,2680436364,5478569960,3464582724,637080048,298404660,2231080353,2430188442,3540322026,4779524528,3948103780,857805380,65587686,749290467,4733406228,1130779286,5499073034,515766788,1832962995,829748376,3340775262,257739153,2748089016,924419048,18719715,5399635164,1495172091,2801241856,12347780,4337809965,1419855108,2592128128,612655231,1813463426,8894384532,123718903,3332694788,1920930261,876888079,5155136340,863127822,6693379008,4247331195,2315199102,2325723952,2773159560,435538232,2997042378,867017912,3796769691,3291681897,1852466705,1258689532,250627640,4476773600,4465373568,7200362888,1167477279,2840348346,3480190872,563279492,2991086733,4946781393,3189156004,1637719245,2796478460,5075459850,827324936,424014056,4754613745,971239365,1361732085,1165900240,7597239417,5148785117,627753559,990800432,2450842365,6771192544,2698452052,1230366765,2173861697,1538759078,206223104,29954130,4455433705,139644435,3803549742,3705858414,247199933,1610030870,1331931015,62585328,6023724432,1464471292,185544356,3423461385,5836665192,6183034683,4731104832,1163295390,2805594028,94395726,5564497820,1386547885,1492970316,5451509294,3238655562,2395902348,997135328,1848250036,544296681,791689257,1428111704,1362695088,5712936438,1816423536,1812132798,377451980,685992052,4910782716,2798508546,1870577686,3806361846,958449834,660172472,2794340832,3561486152,21177320,2658029283,1994345784,2428462455,1453660172,2787548841,5166942081,3998943280,1960383639,3801141631,1095892156,6069261674,904137568,1111879293,21178509,4885950839,542960884,786889409,2871292212,1891342170,2577634504,2019565743,197725931,3300959214,297682560,3818045304,1495188345,2092069772,1023615476,5302535517,1763490704,415711205,1121992932,1047248188,371851948,128996840,2302735868,50177494,5523853902,4646956716,1748822716,2169514964,753745509,3117790350,3790170130,7673871582,3186740300,294373920,2753675817,7014733728,481139271,76784472,4601491950,612348785,751479631,1829717804,7880854950,272141530,1295452932,3257337470,2534213785,2842297024,638661342,1165031040,80697174,196254658,3646609760,354364856,1893262671,1239679521,1649240848,423739968,229984950,6337398298,1051143100,1121792748,1793263962,3096777640,3603996444,3541810296,4521555785,2358512538,2315777092,504096210,855357353,2889714665,849592338,1777141405,1039796895,775782736,3263366735,2235196635,421415040,8639672238,2998874556,1645110012,696517306,1235916912,5733549168,1277023972,2149507795,802503657,7346522080,5707872422,3441036480,1512956501,6890858109,2799336695,3723573861,2045181616,2379097767,793822652,6828315453,2544529495,193422104,712877764,4093842575,6539907087,5282504112,7022551176,897175444,1187541009,5954381526,4692042369,122878896,317937236,3401933064,658386090,1702163301,1575801270,6069285728,8012185767,4054332468,2632440060,2648780005,3611898451,124627377,2957042841,442080300,101417491,3974266160,276534426,1027083249,1872727275,1610834608,3920413368,4421250564,2795898333,5751300016,431880276,4408127176,6625893699,3710556572,227624412,3926505264,762961704,2457040816,7723816840,979988430,1652015448,2975336656,380319031,280635918,679822283,506450952,168159180,6980165280,6910605541,1082851554,5068706223,1659692352,3685969881,364484130,4917339328,3479279976,1731151204,137500145,4391031843,1288290429,1571290,5661772560,1960528384,7069882554,8880993900,3143016444,3575177208,294795486,241729434,5470143161,1234824736,4314720177,976298587,4993057960,1533302838,2518512606,154665993,1448269158,8146204227,6885173672,860655674,5828754848,3771240352,526579476,88684894,1545786465,24616917,8597640933,2665975110,2541601839,128639454,3474709273,5714991765,4560201684,184270299,1488052668,2366627785,279491696,3569881972,1064340924,294699909,981499294,629605380,3767735468,2995302905,1363571073,522297312,5998583824,2736342840,3286438638,2532235004,4445417540,2027301878,1252673835,2885958072,967487112,2003762124,1162860942,1237284725,3804072980,8817303240,3339622370,363655072,8120692179,1948647124,4769091026,6797787080,2975349404,6353673741,146632000,4665814155,438548061,4312819960,7643853360,3437365374,3857704774,5562703818,1534283694,1791141018,1820730096,887670196,1836573042,446824343,1299520526,2793421025,835880109,1579904325,1956366120,766580073,845868884,4525281665,483193176,2787743730,374567455,322874498,8089908192,3440669496,6522191704,880060158,1722172341,6728010534,4153562968,2156985696,420740448,895439416,2426390240,2354541304,448958116,1446694524,2804914416,1486214564,3282508986,6603035312,3728708532,97618500,1478803514,678348129,4529065434,2354034284,1624155568,2693537448,3033203112,4596024216,3331300405,592961040,4037832078,253761216,2376981080,1603149986,1208573360,2678711812,1495923354,2517045726,50770111,5016849719,2584543344,1553770112,1917423454,1043232792,89454086,2379063520,1285217600,5775178779,2402282988,2391416232,4635554325,3686497794,5270221565,112487532,4612495008,4688604438,695835625,5208455322,5839263684,2068656408,1269921020,532316389,3509225870,4195498548,607014540,2127310764,3205475428,3138258755,1742531172,2290798548,218263741,7790345550,6937320248,1871405490,1705450268,3067445465,638421492,2715172752,2343735692,4774485331,2983584928,3566474982,4505398965,1218304972,129850574,5005676168,2408321783,1476254040,3875756816,3059918043,801137772,1214560176,4457603154,2225125410,182503144,5537174058,672587963,1252823900,1334889200,2001595835,7619449584,1135160600,113493232,67334541,2083906461,1722723849,2252587384,667854068,4124872605,1678588878,3105060070,543323193,486914138,1587197515,1459392795,1306027560,329634962,8180906274,2364538368,71232880,2634575616,341050548,1622703884,2556965571,240172140,2684693556,1482738976,2679319325,513785450,1992598170,2742356225,5624213686,3330507980,3269678398,583521417,701775555,1596056436,624888621,471273186,2987879964,508781260,5142554480,1270600440,1549784344,1891324374,103534210,455012649,4014305056,6083464584,621515790,3439225216,1232746536,6065975672,383065636,5111542242,1503185816,4092567312,1760983922,1015216516,2606877304,2881850280,2604554640,5050310280,1403046972,708669464,970948965,885539043,106591460,4688297000,708609127,7324604532,908309458,2912334054,2454285855,1753618824,355922765,5119261404,808860948,1872337320,3123724938,1633663735,156168831,1366106000,6930339561,315137768,5380305497,1454315314,4093035775,1918522445,4198428588,4386061323,2173213632,1040127756,8978407209,6010662133,1271423480,1389216374,1881233418,2242752230,663363510,3171868865,5022026079,4273111585,943097886,6206845776,843779382,4753440603,932741298,969768756,2739220948,4047470436,671366556,3245768510,3768094368,1910205138,345938129,3501189797,6738376329,104715569,6662940907,4966975611,2386184463,1106618910,3213661208,1954205840,947768698,2821831116,4615261686,7842090195,874287485,801890124,2206395900,1020558212,3260533775,174068560,2244578135,4220364239,5300381748,1311649865,1881591201,1968653628,33002333,1785457620,683791036,1581523688,2093124186,4736726816,228054933,8160906609,175941181,4565842290,7919920952,5100631312,1824844190,2308119919,3303975675,374458668,2985208504,73578924,1634989170,150197748,587537818,5493385170,49554096,4449638970,1125056934,2746698099,2260561912,1470565394,937301805,478524441,749817565,2309212260,369123336,2752118150,1435293786,703699370,6774046128,2863269723,2507546529,4652899790,3035631642,844659754,10092220,2230414575,1729221440,8908868790,2984448339,4005586416,3220666580,1897658772,429351660,1229801868,4669957928,2935139208,1140823292,2281210888,3730302988,824779728,735940328,852855006,7904413026,729152825,987315918,550962716,4230032880,1954467318,223555344,4497120030,3595007484,2360814576,745742418,3225289400,4743404238,97996680,4798825104,589358892,2291104739,704427570,437930760,5095297158,1265181966,823428798,1786825770,591923746,1883840547,1966346610,435016055,1056786080,2370785564,3004622430,924043803,3918641892,93887412,5641374039,3161978100,256384275,354759422,1924309160,4588054075,7832344140,1719597664,730984542,1944807505,6550016004,4540877100,2133070617,2557805840,2583408759,1641360606,6094652844,2147888898,903491157,2608910384,226937455,3379394354,2743830096,1676456560,1104041946,2893718358,1170139293,368999250,5749757646,5183109776,1969878270,1022005896,5430226424,200903745,2974236984,8873193195,399456442,266756320,1898952408,2408074518,119909671,6506007680,3777442340,3919954428,4809441440,869722218,433846928,5339536638,997302957,2554601772,229366335,1121931868,59869222,323932675,4206053898,1991352590,2988736914,2481298686,2146878120,1835314668,3358666827,65412832,6818627488,573081884,1275266504,278286827,7261423398,4260526605,3369475208,398749459,6623445184,3625119868,1705280685,3388807870,839789784,1530533715,229426250,4867980243,1656050478,3805866837,1295531352,855664167,2169589632,4140855719,988793210,244784795,7387737723,1444142630,2556953144,4262448330,2272877742,2151196332,4926487250,935901393,3640945988,4503753927,3521436894,632384055,4828496135,926227167,2528500144,4662356,180618784,679182224,1176438440,897240054,917996331,330305604,492976898,756843770,1482225189,2704977088,157843942,1474178094,236726732,4596818864,628050345,1223272042,4146823541,814567844,777661744,1461965224,2554996390,1842553914,73655714,2080843014,8204461605,356544670,32424234,113870025,8645336532,531048617,1937783964,3743015828,144350541,6345249096,822760052,6545186289,364786742,631440200,6794307540,4048963700,2300740494,3515853912,481927536,6438370008,589122530,6497128358,2796733954,6800450264,1257929828,1936257735,732699355,1195548256,1486495398,2084538270,312460290,189826096,2072349576,2625248416,2156874584,660882172,1757242370,56121670,249100920,303894513,174519180,3970802535,1832377288,2810728715,4457773710,556461072,1123147125,1835727136,531346674,1858499805,33964356,475553332,7465222360,29996430,5701928704,446473760,4545210534,729663352,194563586,206207760,395024418,6652831328,4052273120,3975341352,2554031220,2222919910,3436959474,1910756460,5493290463,904488596,8102085408,1532103464,2556297240,2894497844,840277497,6108135,514756824,693618256,1662835122,2617756768,4790924154,478917117,1273258042,653692736,559657980,4509009309,2059805877,6534258444,4358964447,3610720638,2174420241,1253815549,1482750366,1503405452,787504470,136249512,7535139615,230906241,3227071338,2577041640,2184803663,1359261675,393461397,3217266101,172659012,2295852652,1267088016,713287757,2582762790,8426997171,2150751906,2480873956,4677149386,640528191,2774322828,176925225,4681469975,612869955,1723166225,804606768,3439430128,2052176253,3653961556,531015682,2336775124,3710442618,1290709148,807291972,2631068170,2943907936,1866800100,2815973181,4008038167,3813070599,2248396770,1466573496,4654642105,1912898190,572137312,3955473599,1133927763,2067933385,3140805150,5213195955,244607794,239572494,5907937182,66029184,1161931445,5742101088,1129241229,2013843083,861020240,2366993634,455165143,5810390199,541568735,2765199464,833489570,1082257113,1079136288,855973368,4269061180,356620704,8004862989,4833641115,317455702,7860034312,497534964,545954402,1653696495,686987800,1614718053,8258443623,2981931363,3358573560,1567382168,1750175995,2947087959,118059680,4586558697,3451863192,131845902,11500603,4121099120,1602950802,121967700,164963259,4869563495,424460372,280334830,684745919,1005593404,545722688,4326581098,249137659,1082274526,1977835788,4623545143,3928598592,2086693224,2193547839,4986391746,4945301154,2296606293,7968125472,8527588200,6417342211,3018912500,2195683108,96904860,721533108,250418070,987285665,3446530240,2752905945,843481014,4678989736,5827311456,2575184415,4581942460,1933667036,1827152043,1421850030,1242665574,2909519620,126729213,2457994544,3677675260,4930863522,3118989985,5771832640,30352975,182763866,1531097488,426187199,5081816205,239339540,7895586920,4148631498,1318533645,2952772985,2304060336,909378421,4136686335,2303331276,5995257342,5313795032,843069784,7300540448,4392757928,5409753848,647298762,3813416604,2146786128,2582657935,885468536,6897651128,4768625610,4993086858,1590560660,1113131745,6191991824,636638254,3994886420,4031735379,1044683212,1009585666,280166709,4839104245,826522386,932843530,1664143988,6849302012,37832796,3039944144,627991929,2391550155,4796059982,665775910,1528460624,736517079,4897460596,1363744060,1596111390,4413805116,2053457756,1578937168,114868280,2887983570,6675781364,3190127936,1710239083,1565143070,541791387,2951646616,535638545,4119740416,816927262,653445031,1171305355,2266565130,2218314252,5134396968,5078360160,321929865,1073440275,3368604128,3941812737,1336332717,3519687640,2429018728,1205852578,1928837736,2214810268,559777576,642980850,277258900,3501847713,836673972,1607217036,2490224835,8629355871,3478368943,2108706189,135992616,497869680,1956496764,1876992914,1582645164,201224984,1090364421,4066054850,1736152803,1512272848,737025964,694742512,2606117484,2146134888,1020782244,2529425577,546415647,484731020,7077897648,1787964485,5819285832,1267943502,2012551470,135745435,687752502,2987980400,1259486,151585576,3539036730,3079956460,1283172985,1313688336,3483694823,2252279015,3958902616,6324709232,3798074766,1291534196,6657320992,3608122148,1563819528,905758447,869817015,2889293140,1611468306,33244947,2791132614,3851736066,1082798770,2752909716,3019737320,1934241706,7500449889,985961142,1509202792,165953625,1490930826,271685631,4975546952,7971711183,2268071784,384065467,4439785456,4820467860,2775905304,648768318,7951265272,1428072448,2484332809,3293143966,2037369054,4214364119,1968187520,4081348974,1587320718,1240108926,1804019130,839104564,2801646190,3139832464,2773113256,3163557051,3386019124,1205609120,5122288962,4155235668,823284120,2187549153,201857667,3315055866,2107081350,233624605,560612178,679804344,330025928,945372900,1327410054,796235763,674842156,2773235205,1844663592,1760799522,6296489605,4440788016,2705124534,4497263344,169870778,578801178,1236872325,1714616043,2608504383,1739848446,4385509248,5962034456,234481056,1346697835,4481654022,5351958738,4149170,269221163,1119923518,979196818,3423078056,599740328,1861086690,1254714964,3535115620,1969517880,2132935704,4313297574,233582650,3259602156,6391948759,8300985966,2181381024,1028681688,5574067142,1370781774,2284799727,1756323418,6756869079,747476813,241682465,4291568048,719352095,4003580287,801377720,1413646300,196646446,1072856533,555512460,124777348,663574368,6546186045,1597908888,5408724213,675874820,1814455422,141509570,3901953324,5764168800,1451543913,925686244,1752040208,4187672976,4865172042,1818354064,459023556,3571149528,1935979626,2943524688,5524229610,523207602,1743553368,1407017770,1315554796,1765945460,3015885260,2856136188,4443290552,1202155304,160725159,522883650,321376548,5280666996,2813668088,6435672408,613475967,1447924904,3973272165,4622894200,1902873096,404672562,2745078432,3227230008,1027080210,32473332,234203870,605197305,2725745703,3072048850,3199433370,4956877670,4643424792,975053142,736666586,1761924,2902642275,5645439856,869307750,4511354896,1041223400,1406735920,3343161104,1406128964,48545274,86333324,505661390,1874683020,3384794580,21113332,819282188,1699213120,2675617208,2291693576,1401866268,7808677160,1872768200,1156075650,888213414,3977540120,2943273172,2339680888,2305237768,2440756323,2434148766,4346092595,16345453,4432802982,3442347250,3346025034,5282423316,1539935670,1880888140,984309261,1232654054,1257567984,3040862742,647171631,503204628,4594137416,6714126629,356188257,2643811101,2362716978,2464560044,2391858405,775031610,3790650600,3332541726,817901934,9156771,4324033840,4720981818,718603672,875741097,1996178994,1343678076,1074226400,4859671096,767956343,1004656352,6179582304,4640958036,4214868048,3829145964,729614265,342011457,908081744,5920387548,2274373505,5853898188,3429719304,1657613967,3295203867,5295086370,6433418096,1274180394,758481159,3332496975,5712648375,3770693982,3225544776,1718709695,3025318536,438117247,4557922360,1535447379,5605479544,8032016,6463578520,4626428030,94836260,3199289345,21316206,910718912,6513729467,3183552306,942753674,473243907,4961848752,37982921,4376204560,1634640489,496850431,3689603784,565568586,2736469260,4227574284,1206180798,528824894,1552026170,68051635,419934006,736208514,2543234365,2532164427,4614656039,514480581,4488439192,2271778776,393946935,1833596160,1413824499,286007639,60332235,332555728,4572024696,145787172,517151037,1179785355,1190891600,4783347120,1522704453,850795216,3134478776,5068739928,2766756264,5473595768,2093243840,2411606368,2281492311,2166732970,1162818180,2600981805,811531174,1422505215,1810121640,5886360792,2579756576,1383330016,2193580403,924241126,796978963,272671569,3311694414,1123911894,982899214,1765786562,4886264030,2651449655,1264816200,566836112,436955123,4711932804,2550913252,887973471,13641416,161488501,5378068856,3485013280,940659604,4354053116,4529260392,2235531876,4629094236,592625032,856395652,76223454,4457124024,286725315,1394923701,5290967808,2690924488,143721561,220199812,3578521919,2665133127,5535504738,3254325270,115872243,1186687768,2551505928,179257820,7406378424,3824517110,3873141078,197813951,2767291212,1351687388,781839750,3186009485,2508334800,7424732760,798599183,4064830266,46500480,112341732,201911156,5438462412,2390158065,8850464739,1248791040,484116081,5555109424,6359068072,8791781841,2143137954,725185404,638575004,2844212748,2855221385,3218649822,449730770,3089666700,453922689,4988232312,1145255272,610474310,689774217,175109226,1912371924,2643246774,4358914405,2771214435,7752001456,7804710592,246391281,4719234445,890439810,1989950270,128005326,888590306,1510407444,557511964,4735892460,1360437152,6393123408,394477998,5773923792,2117427039,2092239381,51532795,3995988234,2861795565,777004910,2692964514,4725506304,2594818968,3043580424,3705513252,1419841392,1221908192,1664902911,1627877949,1105454070,521999298,7619743098,6947780526,186490924,6389134416,204877902,1839904108,2196917880,484491824,1600475212,2178041160,1218360790,3795870144,2770392732,5023642296,455580996,1417652685,4318110200,821993134,7242374088,3279906243,110500938,2380552371,2368174904,841224550,5969453232,511119678,1077170988,1316571790,265120862,723504389,5724346488,4073038272,6251577608,1540241400,925334448,975477376,1355363652,3696945504,1268285736,382022479,342821228,210616497,2355270533,160622874,3093738192,154636925,5380054757,6971876388,1596690498,5589383814,1266903550,7764089024,1475134650,2032232592,6049289052,2357226354,938784382,3327124288,615402975,498033198,685363365,1587163185,551138995,681528909,4390279467,300599348,135095404,934984608,69992199,696629916,2582392348,2589462332,1007172579,1118272074,1327412702,543636280,5391976482,333238318,3625412395,5511944700,3585150572,4037443354,6048866160,2217297172,2956072144,361940094,4751715372,1863012174,846236638,886262613,1207124790,4504424491,2370259836,5035709266,3480521696,1483020840,1225173428,1063760229,4992948680,84996045,1009929406,1544224152,7531678611,1160811206,1872693240,982149466,3738445596,4731442152,6135877962,237318221,1516159476,362217014,345936112,1522200813,3184024892,2386219239,2774375874,109159032,11334090,7594342344,508644784,2223834483,3263810970,1554323575,4647643443,591015740,3275359384,665458388,5916538376,5699338050,1442081462,4601251098,1484123216,421541440,665419980,4300126425,446820674,1424215088,8047627218,596129087,2587570118,1962063957,1512765114,2266832805,7762762344,3414644765,1598858410,2576150736,80021107,3108923285,2657602914,3463437754,297241984,4552079938,413688959,683565036,4776213425,1599948630,7376251212,3602932728,124509258,6766086087,91382994,269823792,1273319691,705533097,4181609340,927618252,1872395140,2080622940,3388447315,6971751040,934152204,2355718632,1272130017,3031541757,1683800404,5746127742,2473140670,1628874900,2028784206,1568735788,2638631870,403911635,2655525305,2610469480,2430170292,2275210746,532076424,7072116462,3162946916,3374320524,772352476,3500768334,151802147,5332942916,4927349112,509295795,446310360,913612800,2903767016,1208796338,1153141569,2162325078,3507017000,4398110760,3828670444,481676682,7266664350,1348732792,4869657594,4694092676,174761969,6636970323,4130587992,361068279,1279826703,1117647598,434541888,3129446726,2193990176,1322960990,1052278595,963469692,1627402620,2725565520,234527774,7784274168,5273184826,5205132081,5116528711,1976014984,1860445476,4918806540,2688811656,7587344160,1498493748,2584881895,5531781330,304573041,2590603400,281754456,5177043216,231987871,5911016152,2620799721,982235754,2257142286,3090245040,1011912006,693822882,1860889716,1776613232,712380162,5987699382,406987590,5401604172,632136434,3763443108,645922693,679017146,678131421,186463796,400340906,834563097,1262276105,629079900,801984558,6498832543,5267420487,2143981542,2434049760,1548490056,1234337792,4635181830,3758524720,4040567290,2825366904,807368684,6555284892,780592712,3600252984,2679972835,5294882495,5680166094,1344393036,1934152680,903735468,1134873448,2275595518,1991009839,5534113284,3547478272,6648268936,578803872,521072020,6251271968,523874184,8327076183,3718215720,5313271797,5954799012,1588302027,1863130040,167882292,5390639526,591116892,5037220698,2471195712,1869255990,5686518789,3298715224,478607936,1567480947,1720579526,1828088505,1234842885,3096676105,1449097704,1099608704,809657958,512099608,594089945,1174377070,1076664918,4008764022,4057859205,1715034417,4842458104,4924275580,884659280,1758800934,2156756640,621754166,6910956624,357135529,386129179,557097258,64723020,484082098,3199190328,336803360,1889692546,5841664812,3876107823,5278733019,1652446824,386496738,2155119530,6139512888,1815204985,142204870,416158116,5435298072,1879152180,589382001,677963454,7398991088,1443348662,4904213776,7315353891,303561222,1526194006,998429004,3247760642,1383333258,2460600784,3275531452,2030358480,825371180,2184856792,575940441,586821251,2363304540,4406027820,365859291,26395453,1575777560,2766689421,1211477040,467883737,5810081920,1471921997,1321328553,2530153143,2567524600,4358411032,503542678,483909571,3414991136,2281786584,6142969924,107733780,1656133068,2822943654,4534548192,794612760,6311246608,113572341,3208837992,580515531,505032010,6905901400,396188667,2254007733,4598593616,797318430,5747152775,2703455064,210120636,5028310098,1753955600,2944971918,5576413800,3335599248,7747232202,405564020,304097022,684883424,5649836632,690238206,7272955746,3687385416,1883844978,4334262200,2984107520,2842914405,3300828432,2966571700,5525519256,410310776,1290223825,2772834784,1299123413,512325207,1639521531,624124696,7300724576,648032302,1126396716,5322599340,5563039164,3721675470,722308300,325353945,922544826,1137755900,3565833033,3362198292,893225640,4824854754,2614629246,6672352941,1555497294,2079911268,1412737800,1608485856,1076374030,698022126,3104630864,1569936722,2332125880,4019214456,351751060,6887686,1084290702,2558551275,1876232504,3074826896,1751238676,296100840,3582954936,5362741494,3097890640,1899194507,61065319,477799704,336855924,2583696525,3527624835,286225668,4155330051,1876617656,150456370,5651658504,2939561152,5161518187,755372985,3674186475,3565895074,1072188488,1624780449,2139374598,3389759226,215398362,243343824,1033317950,165025904,2538464664,5591549586,6566044096,402542480,3231565098,1564191054,1810501569,3024758616,1061669190,6991067296,3529867221,2191025817,3135880005,1941196701,1360045044,2954959924,4276994125,301604370,3587087764,320044784,1800858144,450820035,1797271324,769058944,23579110,1736509482,2639669694,4458106422,572704134,5820657288,645585613,1986470084,516072708,1105556956,1984871730,7996738640,83676100,3829509575,536701172,397709823,7384783624,2211056238,1208883135,2530915824,896434517,2941662060,3150818595,2389767246,3578069095,1417004751,1787392482,5455606422,933534608,4710725155,3535222840,1456014852,3387322795,970545752,381558762,3393933812,2465500116,1754671356,1451138705,779266617,1646589948,4073655018,1907816792,568573593,7890769656,742810524,2848870080,329640695,3061277980,243016085,532072886,4043099778,4300449792,2157192849,1277418794,1157173179,4900258195,4220624264,142862294,436806484,2899465470,2008232044,314555238,6611805116,325542487,1759096347,479356882,2631950187,2113203152,6534725225,37272200,1454062827,3184921866,1839054870,2996683280,676702690,578290404,1227841148,5354568891,6894780552,2330607652,2795199906,331062330,391424304,543143898,1684392805,1564482843,1323497554,2258283333,8856614997,2517035692,1628753376,2694377535,7840762533,2515661615,2613482124,1249559361,2351056080,161701044,2689874523,724667064,91153960,1694182209,1156012830,302023240,5862556464,3744243092,1840101882,2396301636,2626613572,5405964440,90452800,7032429405,4341431010,2217746256,2210257104,1508409422,862665496,2889202050,213854535,8865598149,920816279,958107836,299002736,5442747462,5263295177,291268845,835797992,5119425927,104680368,774348060,5713062075,500788380,3308451398,3956777700,3451939696,609498612,3819689500,990980606,5515272644,6387298290,2169005640,7484392552,2213841534,3472112752,629994656,2696871033,559599255,5242008534,1775288600,166034385,93709278,60816987,4051634310,5198485194,4667091416,1881030277,868007305,3165516414,4787686416,447695658,797206444,4165239042,5134874334,2369714004,341290734,1496078524,1949648448,5861813624,1742280921,5192577552,2031273881,2033353424,1160895936,428823609,499670765,4479980550,2653679145,272876130,1529195764,3045342426,5150934891,1976749164,1225496360,803489004,3236811665,5215904577,1946914773,71992020,1878690980,1279550724,3592229196,786841822,710542872,4364716152,69920446,2253948003,6636602088,1880467126,1615109000,6592400353,4764665925,2628917815,800410707,3205177844,335593231,3786762534,1363440522,891532308,862701763,859040248,756534623,674667987,788887605,3292748456,1937978472,2712136740,3590622776,98056974,2053432566,2790479425,5566545726,3332514064,710016194,823894866,1242954410,5892252779,3968144032,310961347,7988593671,593891734,1772308280,2478140316,731540621,5448990501,52735002,4222789854,4349551836,1287017336,285728012,4949875326,1626492007,564746313,6401581613,1888507890,322219614,4277907894,4420009818,510885288,4209936752,2301439600,1444510640,3150257994,1067892360,1176277716,527168241,6233522232,5913500778,5563193112,1603882952,347897060,5155282576,201774559,327983805,64582595,4498353750,3783405240,6201725382,2893593408,997852328,2461358781,2833410286,842733008,4194520821,557724500,785126423,1632929375,1241661936,2069748402,3485977655,3552197562,696268260,2046411101,327038734,602131089,3926541675,8156137635,434994250,4980805932,1384584564,5429685720,5534259899,969386067,463684464,3124836080,1549029060,4144081500,1320174621,1301336925,619291840,691006906,2223440780,686546752,3391817130,1673722832,2072106435,609806198,2056351750,886954249,759589748,1917578530,919824361,236864496,1642376860,4044018272,3340092714,5501619248,5592252444,4344262085,86297214,1165435008,1855988822,1619964258,241875343,4927014728,192695760,5659803378,5693129502,2649191925,4065105555,371379128,7046703984,936029052,389038621,504205456,985465536,1016199520,1897577180,1992086960,2392121350,7408033296,3085738195,950116892,3609814215,6277101712,1729039755,2252857524,726969044,1020594016,1699375226,1794401034,3639739880,1622702970,1053187236,4486555716,2232708786,511956847,669457797,3939974344,3738448590,12595440,3698655276,6902103303,1860905220,945406616,2804506725,898266516,360528963,106999680,910351119,3607011000,611432024,448719984,7372947272,2180747433,926322342,2981825778,237164292,5226673781,1731382674,2157702273,798660028,3848257335,1741997376,690200568,2143493472,1353080568,3540250370,617695353,8762426010,4468989648,1691411520,5518279584,441214790,454054044,1254855715,826387116,5107748856,2595227136,1683451928,6234291256,2447969670,1864856850,2130326949,608442276,305454427,118992430,1433520648,1726587975,4263987045,5465196690,379760452,3299124570,826304112,1438481133,1358480712,8313873993,8043333012,45573144,5676120200,2890375488,3950419592,1117450116,8101312272,3775200030,1343440690,6311480777,4404034290,1874878072,781543662,2484357576,1714052952,7162990,907204480,1934200200,5801092728,4332456348,2043045932,7915903434,2746713414,1242614168,964959558,1135103583,7195886040,3845576966,4736498728,1893565608,8389086543,367915620,268783080,2621043651,3991635440,1058818024,5888163606,1644639370,834990490,6458328280,6636569888,571541635,3975109593,264136836,4499874155,142937236,109619035,1178675295,789212928,2605443445,233425462,2101919475,6421435112,148055649,416113689,1588988260,2057544243,3787288340,2187817806,6778092223,348674058,246262836,1653049968,5115058164,459183516,4485294342,5016513411,8401437378,2272824120,4803249546,673835127,248123082,2875689615,29598656,1846442844,3056746400,2499178424,8881140600,2991437721,654620260,3258081625,387778560,2011363416,3340603312,4829909840,7153795112,2953827264,8939315466,760876992,4354435305,3243349715,741655530,3098994234,725812896,1515886736,39411309,3297715632,1842004288,308219982,5301777607,1945818438,672910332,2340167552,4565617716,935865430,102703281,5222657776,906902706,716684015,588330735,641733515,736107661,5015302500,443232819,4931163349,1851876318,2567409444,1945269312,987744988,5118878862,731673600,738940460,1028753352,2951650898,352936206,1076873985,2515748669,5259368408,323489837,1705512442,1661389350,5923261295,171215616,3785405264,3324660880,7070122908,73480470,905264245,2755901706,2504891295,1460960190,6409877200,575719431,759901386,442627140,2285430300,7838763147,6261424128,4039029148,563981811,4517316200,716095320,2761827271,279217804,1767040665,8482928445,46262720,1469165140,7211127640,5225163928,5906467200,146699233,1490270240,543878048,2965537912,2825729960,2007088536,293823426,1546252296,3995504956,2843226978,230152413,1174392512,4746830172,491647885,2789700320,1359589932,4254594925,3029666652,2177272764,1602279959,1564359030,948076034,2153526210,714580644,2511861116,866282437,1457668844,3429045244,1684259525,1939364225,2965156166,4166769090,3744838820,1395882228,1530951845,2431427085,796023159,852715990,3450101615,2797095820,309129390,6593971056,8682976872,6040391651,774307636,6616292544,3097213992,84754785,707935096,1469251647,1177214485,918068403,2196385752,812551904,913507512,3509614890,167309287,2171186056,3205057807,747443634,2216306555,2371771230,392150168,4575162609,3925644425,1850661526,6624329920,3975895647,690544026,1904430400,449337264,1692826904,4454569770,8264240469,5173342956,121285536,5246160198,1705513740,1858765150,986049061,72642809,1952866225,2860307496,8771697648,3486588104,2603522383,527793755,1603430116,4612123908,234085568,4063019190,199115124,4658522582,1156633070,2441476500,662481626,4873183155,1111038056,2316141816,3049682678,3856603568,180739684,4816320732,605454258,826635845,50035995,4050728332,2265270006,1942212608,2838601255,4495009383,5037263504,1023072054,6208512345,2389795048,1851057300,6266730216,3922326605,913441735,910850727,3687406436,7677709664,218531940,3894420176,1100738806,4118866776,6248408642,174530260,2736923259,1334579517,2748178405,3567709288,2992581615,3775927808,625023118,1309222736,1225851840,2347814508,1517757142,1265204124,3350842313,1291325080,7956288672,105314700,342940410,2827003788,2349624568,409129260,4108132735,3031140339,2491665668,1580738648,2494176300,1375470716,1400594844,4248595530,2873505600,50765445,4223376276,39473400,5633586852,412795400,2443077770,871549299,6698735715,5093593992,233260126,1968388642,3466649788,96210160,3586396920,3312045927,1124097266,4509695934,4705419194,780561599,2563197882,4959005765,605722222,868923190,2566659370,1375975923,162050303,5588814114,1305541968,229874964,251027513,6043592233,1007483229,1550898400,1091406297,14302854,6659500771,311406844,1204441360,919903390,3863977479,247756526,3079700010,716167388,2801402525,3142382456,1551495237,726314256,881701702,2903753398,3567121564,2540359640,865557598,399773632,3128346204,5352194058,670369991,2764903386,2667475636,7830735561,447186483,3498763276,2565718542,6184787742,2736098250,3045986632,356059504,6236270128,1905529304,69126900,6423363680,383299623,2556678225,5617082637,235209206,1177690432,681389051,5674830264,459922942,5880032680,255567676,576673499,3877403085,5558078844,349506919,1666156440,1808448981,5431925240,2310422756,700758039,285960782,786273841,5889206995,4431523344,6267715551,245518284,572768848,6388574206,5246072256,4150482462,726348185,5743054704,2803129602,487299126,3929420151,6471703664,4737974626,1940374938,1529939582,4793623854,3788907664,2798859726,1346582332,3192395322,840449319,1480753480,3243511110,2249854120,1449679098,7749474057,4594348563,1643463444,2681697985,1743657762,1567318140,370473670,2249098396,1902859360,780190078,3157300640,8375239341,2462096694,6855017600,1761120444,121265520,5453925066,1876909851,5881766527,1604665910,576410768,2632301808,2087279464,200686307,44758430,3461245248,4519001730,1670603970,849572451,2309723520,1144176159,5460214368,752898674,4185853845,2072735832,2369186778,770445090,812676071,661412728,4802567968,2644912620,1169270916,351919295,1271427344,3344061602,1254027900,3904615220,1972314588,2221833906,1002698578,2056861776,5172427494,14078382,2015636144,2403156785,845352092,4001773260,4905798900,3618311968,1169000874,402519690,556979576,3178413765,393980037,3697033806,674717250,269059410,227639646,1508471007,607629134,777160481,853864818,2561790640,1053659302,5787693744,1446127178,444820834,2298634644,1837024396,515204959,1161731661,3833329266,867655464,1798913492,2594930365,3140929988,5238336240,1026581382,948649665,6059341568,1138955166,1316133052,983441430,1403138422,1853849645,1498062752,5971177980,3426642676,631738416,200481675,3544585972,2609457800,2261015055,54109030,1276414482,434713993,1758005946,3405446355,2906390128,3203805512,1922273682,699872546,80747145,3192720265,2600518272,1993098312,1678431312,516602868,2964044164,10538528,2775222261,6721267311,7018619160,7657032728,1665212598,285373224,355400760,2194290336,1490146380,5195922016,411628836,2875540548,4523494822,3542579694,3840235356,2247282591,1697444882,6061526373,540124062,2658004704,6826831137,6175207248,1741776729,535010647,527561512,6965691273,3976152936,1635001340,3909080260,913821564,42192450,464466490,5951094024,4176829914,5456623288,1886227768,6679931130,603518570,5570023080,814696368,4715905128,2900778656,3511631420,5907627312,7285751937,1903674186,2739506616,334994760,154362034,1910918504,2527098352,2645526345,1032477594,205027370,1490482147,914863530,850120885,1615393716,3722575880,934737116,371915411,224068125,727250307,325679592,2311266873,3110677460,926968183,110556616,1980468844,95847438,654935460,858860088,371017438,521551978,3622999888,5672057409,3014932764,2939190610,355212264,2846741220,5245467584,2537335626,5982131652,4870888464,1950674244,1095973375,5619566286,1037896473,1201173990,562893053,1055125478,1225261533,3202071660,1605388272,29178960,4469301452,6872369672,6562447240,585009700,1499320551,288779988,304486041,989143488,2760912936,990592117,557682017,7964335431,138012366,780649190,2286618771,3305330904,6612881345,3333937892,5498554362,2661380984,3118420350,1240016967,1456818336,1411219053,925283808,750582864,778342296,5323949944,34692973,894846526,1594981216,5658826401,1588035960,5136270951,179451402,53319968,1635491442,1155326660,4711920090,344353568,7516251456,480164360,4076848072,6569370414,3650556069,1229205024,5405089192,342719898,344205613,862286621,3670372206,2797315801,142475712,6902525896,6202916748,690110625,1681028376,713120690,722836247,1886510470,2132363352,391783418,1266794024,5239194079,844707355,6259872,7855132448,918504192,598453560,3593885928,1236014642,3090658848,4134396940,3632317376,3901214896,2280403110,4793716431,262410636,5285137480,1518031920,1663490262,2760413628,7802662680,18440465,1009693690,8443754487,2069259750,5261756976,4437569871,783208839,2228972290,368768630,259417046,2935973310,7743650408,6725045960,730688208,3969098492,796475616,3781028890,3848390296,3107851875,1699163132,4670320920,3195496800,1204804896,8180468190,1490529796,497576739,1183290060,666321156,84204624,4781381409,1983365670,1236127926,1732216704,2644584438,1211888518,1933217016,764937192,4417547976,3773099514,3094844046,779497828,1868686830,1614538446,3219221212,66567912,668633283,6720007735,3717187520,379390220,3557197888,4790070980,6968011635,2818292772,7064060634,765802515,3963198315,6145091694,4525140802,1167820965,768870828,4239610845,472791846,3963496172,2603713399,26527032,3441114224,222900943,2501852685,386396730,7540816336,881110080,2500523344,1272947632,1384738392,1605841080,106242733,2139182991,3047428980,199045748,3662255034,4221227164,3839763897,1042760789,320844345,3737967892,2802272265,1183195307,379314542,7104964140,126621252,697092342,1089558651,678746589,540336872,3142669715,656038498,3761539128,1754333019,1635198456,2748113356,1211815472,2417512792,6118232393,1732573982,6428767044,762176655,2656525928,596445048,1472537784,2409005004,634821603,1766637817,3828457256,3344445654,1578162185,2620229769,6641163641,1365933096,1454145486,5711348205,4727331234,213451817,6988274008,5869565937,469058910,539841860,8215005078,4152421182,1280242152,966942306,17784018,238663284,942251507,3201692240,2808580278,2651841295,2126210412,2531186370,2607723636,1892378288,332565198,3382924330,1644638590,588515002,716007392,4562017928,2222369170,433043702,4339657794,7975414080,2279361960,1909455543,6527383024,7772713776,740058137,3729639260,4293944440,1036213810,4851599283,1524559689,1932822891,5140729600,4328400384,1728010525,5006177848,164217952,1270173678,331017444,1955227589,218114304,4694905095,99373869,1415249986,981136890,360184812,1723656278,1286739365,360630596,3040599360,1404784280,7864448454,525791016,1108367744,757665495,2518659651,3289035421,1744924695,6280340355,4335059664,1436254266,1078920290,1452245120,22257913,3889633720,6582011040,729614175,1135926170,1680761640,2310316032,2924207645,4678343994,933300747,5337260532,3970088475,972965185,5255163282,348468648,6721977352,79620378,2210131224,1852174695,5180899120,1026760182,5224107888,92159766,3573148556,3437821260,946567520,800213485,5604473565,6806463832,740965544,3271649540,2432089266,1659803004,1136116971,3206359030,3574159656,4211289608,466143119,5771949456,4829311578,6729361497,1139301810,91334621,2308974654,2066624420,4057964718,3785905310,714131160,798473545,1547052200,4988048935,877850302,4059663630,1236086450,819701223,1660927284,400877061,2040009440,1860246582,233385752,22368468,1178127782,6895133273,20466144,7869995296,4733684613,3424477959,4569495561,1690249356,6163228918,6784924653,2929985514,53333914,4934584424,6475970848,69512210,221544732,5249368524,905518647,3082640742,3685662211,1729283423,1834547061,860989200,1411837269,143505186,1627769156,696232905,3177179105,2251095700,6688525256,815793624,1467863032,6153362901,4072194830,170112892,5288049657,2337922264,4841974230,3506731090,219530985,2153079918,2543250369,5170875736,5540462346,2169046071,2487898420,2411148288,3037772712,228779724,333433412,171737305,394841125,3026254448,2457362176,4203610704,7625159840,1005252624,866310679,890041425,2898112782,39472572,2306242364,1712647444,4891433286,1261556574,1499725976,3564533994,3577782187,4871575415,360805531,8920137915,3940010632,1252133790,673704205,127652778,5904647472,5950298826,6691036448,2633752640,3326652284,113507812,288478795,785044974,7361477262,551963784,2033016400,6540953280,3120807087,510199268,1475413872,5268540726,3636066815,2729084211,6332700213,3519456472,382610346,6771536443,92037732,3883423632,75364940,2438956648,2658667326,672299000,4832909892,3177163292,659782215,2849757772,3915144204,864918160,4384497832,1924257746,2449477036,5194383258,4595512824,2274205776,5577160400,21882602,356699878,3742601632,586269519,236757272,1422265888,304556616,1843696841,3194257840,290091320,74613056,2076249777,3741865020,2848958268,2553892685,904280744,4792614768,4466861616,5252162067,778665183,5790997360,4376994375,6724086936,6924850776,2860702404,4827200622,1660600516,251302184,1725244060,786040544,1643701338,1173053862,6367044348,8447826042,1027380448,3140430624,394033348,4771016064,4527331209,4747909576,4404773616,2184860652,6179847687,55795388,2091490653,421997400,1068386016,1077986380,626150559,1125894160,977095820,6510868784,320175168,6637523344,813577560,1669998546,1620342560,7487516034,3715219705,4294364802,6558600294,1124456490,49221536,826540167,2335815660,4571621380,387302288,1291375421,787843182,2475964435,395487090,716840968,842248672,4319528206,5279873795,5063748288,4988469367,1983102495,4680792365,1504529847,3088087676,7510730552,2119231650,3771694992,2205958224,2566050164,970717004,2445272544,59369499,936902807,3877672326,5700979539,3972085510,931703073,578481780,314769612,6577824456,552812124,3569651640,150874846,2439623864,5647884534,2440849131,3018249324,785607932,6045501112,6177997518,1204840336,2723226228,4480063380,543807104,526806316,6335979916,953142174,2593577535,621498741,3188789345,6579189208,2680844766,6622293587,4226031342,2464244250,1146943356,1154290617,903129338,603828352,453698557,749806786,1324559734,546449283,881450572,3405099971,542560284,1852903590,128905850,567452684,5668243560,6677600356,2304012495,1291658092,595598184,524358490,4226009928,7614732552,3313168386,2004765351,880223682,819804387,414211720,1438498971,1220821623,244567901,2709301024,1069690959,1809396536,7692222640,1047638795,3143961744,6100151408,5959630740,896533665,2012760550,1605796381,2501188116,1934325390,741731734,936098493,1810919104,5624274691,210450026,4213408512,2921103476,949444233,3054697794,1874092436,2597691027,7359732488,1406085396,2227136720,2488774920,3680826372,1323697908,1157725404,1597491200,990686724,3747464905,3732733638,2930615625,523281186,4734573630,78220264,7141692438,5165585404,2013051510,142706372,860986811,4672804360,1120661140,1617365838,6875363934,4316964792,737673882,3627751448,1314221970,2291251924,513690057,1599080278,1641165792,868647931,1884530998,2980173015,1820880909,4058865678,2353997574,76963608,2458246914,6042594744,3309989650,1095138564,1023098027,1471977474,974601808,4328628392,133221437,236939450,6194935665,4485818796,3651588063,4152307012,1027069736,8517768822,1866878030,3308442984,1764725090,774373604,771154070,4466395134,780415250,237766392,752962404,2124667293,2215070190,4254895572,462323395,6425975488,1353803759,3537255717,657349020,162976540,6159013120,2867122224,7431282495,1814182624,407637431,6533065945,7754159754,1557625670,2994323255,5110712826,1745621336,5354922519,4170701390,772755298,2740854360,3190870364,558778293,252865172,1267279230,697544478,983490190,1119463583,2471991885,914261546,2355854844,2503062498,3484534012,5769408225,888684735,63804090,4578736701,271311768,880288818,3975440560,7144248000,3972184055,2043579114,1022098828,570145684,227023069,793326497,114017708,5899985240,789470457,3379893828,3323349180,2545752880,316089697,7410282256,4693929144,118091993,2560012617,1004829161,39417320,2987489210,2214722334,3206655616,4513450815,850886408,4925435888,654931900,2736500760,2571320900,4967262860,937794326,1815483600,2120186832,3619596351,400466994,6035052213,3690795612,2566870353,4067170144,1585048784,1912239768,1993824717,465772516,463191876,371798884,2330584970,664812101,2331320920,971283808,1911042480,93803368,833257920,6288111666,485697680,1029776720,5294423562,4488826795,4139780390,1630083640,5678415225,6462821896,6941767518,5076980440,7175839048,1508575012,1065305811,1356947166,8605950867,1296806910,1742352108,6957758703,985574724,1612621719,1251392010,1249837944,2144577530,1250287725,5637573726,2545092855,3037976244,862063606,110571165,2352463167,1052064306,7773602096,186422154,2955120918,4146899364,211632220,117892470,1659500082,403756544,2737846748,1378990206,62837844,4096803128,997171920,645116812,473402432,668385830,1488839346,2721954756,6137230316,1033252041,6758383480,30971670,2432837616,902511517,2189401304,168656675,2997036063,2892883815,2333173452,1849491300,1982435900,2872093734,8838108459,2412846470,139470888,612524634,294560971,3243768720,287253886,3904727688,4145108330,3423661952,3181407295,3848489310,4794571418,3355172976,881691048,551358918,154307512,921158840,591702234,888832750,2913753672,1645300640,2306626830,5577987080,697577796,179437491,3640178545,6833071336,444239658,429160620,2616906642,1300427325,7063957161,957486649,1679124508,2428624170,1255130838,140017326,8467460613,1350587344,1245134048,6044505336,251550846,1312121192,31395511,1121392111,395174248,4976199405,2225267910,143546048,6610551498,627755800,4382454635,1939874158,1125606886,1415768346,168933181,2367389832,751656040,1714042150,375473105,41875551,3297871848,1316940480,2373333204,6096850732,3732406025,3579879674,646814616,529450896,2274766435,3439395930,1598637807,4646069008,6020255889,270541374,3760986200,5633194704,343774956,1569250208,3276133248,482891856,10620989,1871170476,1264281228,1821680161,1756854152,474986452,1015285900,2475547416,4307922360,2556306928,313682100,3308538612,1300114370,1959640587,764118520,3935962380,1995878080,4724904320,3635783944,663356450,773963976,1363768476,452500153,411169560,4852112400,302674604,4183804165,818545640,2320440045,5855726793,1592135470,3657578176,3607462420,3863351844,6836225200,3886824570,35423828,2177821424,193736592,6744536240,5002138836,480519556,112760005,1355177268,2170691694,1656706250,968108477,769889448,718792308,51299150,6549857235,732261568,7777156257,6912934441,1106356468,6682212036,620749423,3184458680,1180038220,26411751,117432488,329553392,1539963912,1267072992,648740463,4827990912,1961403282,1883311588,3999409204,199782314,1287031960,2144203664,978216094,6404270047,3971343050,2700882744,4475736265,202620012,377719406,316642918,4760818425,1145121336,2945927736,3506057992,2329923316,2599257498,960917267,490650600,207941176,2245442792,404731769,846800380,5941144482,8512132995,1093399506,37609698,286159157,228665096,6492236064,150272142,2053075611,1039246000,1941238942,4297684650,106746244,2523931105,241671388,7894728048,475499541,4293171340,837818640,1789247418,2155971572,7937075328,195956584,1396381424,4620969030,5540222256,395236656,1740256896,1682390178,5528808996,59942813,1615901384,894668610,3997925022,2916871748,4682562006,4068373024,896471532,1957512342,3040783179,977841527,4793121865,4685270922,1335212721,957267585,66261568,1964712567,191200627,3114912414,5561321360,6759568312,2408598515,2316764335,2646444948,934426038,5637352200,8082420381,773642940,776030607,2891540148,551678949,4397783562,659306179,4151255715,3666372462,1192327852,627243308,461110704,8232553350,2809030664,671426784,945291159,1041908355,401348880,6319364002,593977880,3075381400,558864135,285098977,3744566164,1277162730,283394885,3012635725,871775082,4726655315,118998525,99483969,4229755920,2917563890,307689463,8703726462,1208266968,2574725284,706777875,5015519328,4402004814,2556188442,5685257571,1319477796,4759356155,2621498010,2127395627,675541558,3695887704,1733786296,352526028,205804340,323487505,65263851,2356097844,814211216,3403697535,4486868144,1376473872,4492221795,2619154860,7657281288,221835116,1475420652,513287700,4950570444,2747648007,6311758482,5766650360,2532116814,1106971494,674499736,2729971800,3596179704,658045638,159404520,2742676160,805016667,1922683640,784143363,3612924279,626580920,951547743,7979899960,2435478117,844885385,2822231150,994757180,1975786402,6573598096,379429925,3412160112,432528474,5656644876,4426941904,375200990,842197200,437206792,3873297420,644377152,5450306031,230014574,798913972,5575629680,1749745170,2147139708,81209270,2505434532,687942815,164793686,3635823387,1116989586,7016297008,1661369340,1575187092,1058399667,1840791855,3862376964,2211515264,729907544,791989137,1202396465,1567543972,1311285864,2832445715,6621458193,1890776937,62622982,5216141525,1225815824,1785903602,4531734654,3405582774,3047307365,1100463415,56404545,770092604,4655046020,1060799034,583277460,1760865132,5964149345,1703738394,4960966962,233803179,1435443702,3798448944,655532221,5713544736,1202991580,498871689,2465150154,303912652,1942963310,4733901048,1261774614,115770300,2837695917,346704118,4030983765,1739136609,546740589,5830634688,211091003,5428589481,1571767923,3656859840,4835184744,4957070103]
458795777